320 kV armored cables of a bipole

This example demonstrates how to model a bipole composed of two 320 kV armored single-core cables. Each cable has the stranded copper core and the insulation system of the 380 kV design, followed by a lead sheath, a bedding and an armor of 68 steel wires under a jacket. The cables are buried at 1 m depth, with a horizontal spacing of 1 m, in a homogeneous earth of 1000 Ω·m.

This example covers:

1. Declaring an armor of round wires over a bedding.
2. Examining the equivalent tubular conductor of the armor.
3. Computing the line parameters of the six conductors of the bipole.
4. Bonding the sheath and the armor of each cable into one conductor.
5. Separating the internal impedance of the cables from the earth-return contribution by means of the trace of the computation.

Load the package:

using LineCableModels

Materials

The materials of the core, insulation system, sheath and jackets are the same as in the 380 kV example. The armor wires are made of galvanized steel with a relative permeability of 36.6.

Conductor, semicon, insulation and armor materials:

core_metal = Material(:conductor, 2.3853e-8, 1.0, 1.01663, 20.0, 0.00393) # [Ω·m]
semicon_inner = Material(:semicon, 1_000.0, 1_000.0) # [Ω·m]
semicon_outer = Material(:semicon, 500.0, 1_000.0) # [Ω·m]
xlpe = Material(:insulator, 1.0e14, 2.77781, 1.59891) # [Ω·m]
lead = Material(:conductor, 2.14e-7, 1.0, 0.999983, 20.0, 0.004) # [Ω·m], [°C], [1/°C]
pe = Material(:insulator, 1.97e14, 2.51862) # [Ω·m]
pp = Material(:insulator, 1.0e15, 2.8, 1.1263) # [Ω·m]
steel = Material(:conductor, 1.7475e-7, 1.0, 36.6326, 20.0, 0.0045) # [Ω·m], [°C], [1/°C]

Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)

Stranded core

The core is identical to that of the 380 kV example, composed of a central wire and six layers of rectangular strands. Each strand is bent into an annular sector with the area of one wire of 3.66 mm.

Strand radius, strand area and outer radius of each layer:

strand_radius = 3.66e-3 / 2 # strand_diameter / 2 [m]
strand_area = π * strand_radius^2 # [m²]
rings = [strand_radius * sqrt(1 + 3k * (k + 1)) for k in 0:6] # [m]

7-element Vector{Float64}:
 0.00183
 0.0048417248992482015
 0.007976785066679433
 0.011131455430445742
 0.014292756906909176
 0.017457087385930103
 0.020623052635339898

Layers of rectangular strands, laid on helices around the central wire:

courses = [Lay(Helix(LayRatio(15.0)), # core_lay_ratio
               Repeat(CircularPattern(6k; r = Offset(0)),
                   Region(Symbol(:core_strands_, k),
                       Rectangle(strand_area / (rings[k + 1] - rings[k]),
                           rings[k + 1] - rings[k]),
                       core_metal)))
           for k in 1:6]
rings[end] # [m]

0.020623052635339898

Cable design with armor

The armor builder lays n round wires in one layer over the outline of the part beneath it, in this case the bedding, with the lay ratio lay. The space between the wires is completed with an insulating filler. The thickness of the bedding is chosen so that the 68 wires fit side by side in their layer.

Build the cable design and inspect its outer radius:

design = @cable "cable_320kv_armoured" begin
    @terminal :core begin
        core(core_metal; r = strand_radius, tag = :core_center)
        courses...
    end
    screen(semicon_inner; t = 2.0e-3, tag = :core_semicon_inner) # inner_semicon_thickness [m]
    insulation(xlpe; t = 20.0e-3, tag = :core_insulation) # insulation_thickness [m]
    screen(semicon_outer; t = 1.5e-3, tag = :core_semicon_outer) # outer_semicon_thickness [m]
    screen(semicon_outer; t = 0.3e-3, tag = :core_water_blocking) # water_blocking_thickness [m]
    @terminal :sheath begin
        sheath(lead; t = 3.3e-3, tag = :sheath_lead) # lead_sheath_thickness [m]
    end
    jacket(pe; t = 3.0e-3, tag = :sheath_inner_pe) # inner_pe_thickness [m]
    bedding(pp; t = 0.009376520171274612, tag = :sheath_bedding) # bedding_thickness [m]
    @terminal :armor begin
        armor(steel; shape = Circle(5.82e-3 / 2), n = 68, # armor_wire_diameter / 2 [m]
            lay = LayRatio(15.0), tag = :armor_wires) # armor_lay_ratio
    end
    jacket(pp; t = 10.0e-3, tag = :armor_jacket) # jacket_thickness [m]
end
r_ex(design.outer) # [m]

0.07591957280661452

The last row in the table of lays corresponds to the armor, containing the radius of the wire centers, the pitch of the helix and the overlength of the wires.

Lay radius, pitch and overlength of the armor wires:

armor_lay = last(design.lays)
(radius = armor_lay.radii[1], pitch = armor_lay.pitches[1],
    overlength = armor_lay.overlengths[1]) # [m], [m], [dimensionless]

(radius = 0.06300957280661451, pitch = 1.8902871841984354, overlength = 1.0216970727418604)

Equivalent coaxial representation

The function LineCableModels.flatten reduces the armor to a tubular conductor that spans the layer of wires. The resistance of the tube equals that of the 68 wires along their helices. Its relative permeability, which reproduces the geometric mean radius of the wires, differs from the permeability of steel.

Equivalent conductors, with radii in m and resistivity in Ω·m:

blueprint = LineCableModels.flatten(design)
[(terminal = conductor.terminal, r_in = conductor.r_in, r_ex = conductor.r_ex,
     rho = conductor.material.rho, mu_r = conductor.material.mu_r)
 for conductor in blueprint.conductors] # [m], [m], [Ω·m], [dimensionless]

3-element Vector{@NamedTuple{terminal::Int64, r_in::Float64, r_ex::Float64, rho::Float64, mu_r::Float64}}:
 (terminal = 1, r_in = 0.0, r_ex = 0.020623052635339898, rho = 2.4366377448836256e-8, mu_r = 1.0015676954020325)
 (terminal = 2, r_in = 0.0444230526353399, r_ex = 0.0477230526353399, rho = 2.1400000000000004e-7, mu_r = 0.9999830000000054)
 (terminal = 3, r_in = 0.060099572806614515, r_ex = 0.06591957280661452, rho = 2.2740706775708522e-7, mu_r = 5.543170574987359)

Bipole system

The cables are placed at x = ±0.5 m. The core, sheath and armor of cable i are connected to conductors 3i − 2, 3i − 1 and 3i, respectively.

Homogeneous earth model and frequency range:

earth = homogeneous(rho = 1_000.0, eps_r = 10.0) # [Ω·m]
frequencies = 10.0 .^ range(-1, 7; length = 101) # [Hz]

101-element Vector{Float64}:
 0.1
 0.12022644346174127
 0.14454397707459277
 0.17378008287493754
 0.20892961308540392
 0.251188643150958
 0.3019951720402016
 0.36307805477010135
 0.436515832240166
 0.5248074602497725
 ⋮
 2.2908676527677746e6
 2.754228703338169e6
 3.3113112148259077e6
 3.9810717055349695e6
 4.786300923226381e6
 5.754399373371567e6
 6.918309709189363e6
 8.317637711026709e6
 1.0e7

Cable positions and cable system for a line 150 km long:

placements = [Placement(-0.5, -1.0), Placement(0.5, -1.0)] # [m]
system = build(CableSystem, [design, design], placements;
    connections = [(core = 3i - 2, sheath = 3i - 1, armor = 3i) for i in 1:2],
    id = "cable_320kv_armoured_dc_bipole", line_length = 150_000.0) # [m]

CableSystem{Float64, Vector{CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}}, Vector{LineCableModels.DataModel.PlacedRegion}}("cable_320kv_armoured_dc_bipole", 150000.0, CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}[CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}("cable_320kv_armoured", Stack{Vector{AbstractCablePart}}(AbstractCablePart[Terminal{Stack{Vector{AbstractCablePart}}}(:core, Stack{Vector{AbstractCablePart}}(AbstractCablePart[Region{Circle{Float64}, Material{Float64, :conductor}}(:core_center, Circle{Float64}(0.00183, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(6, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(12, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(18, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_3, Rectangle{Float64}(0.0033350171093775244, 0.003154670363766309, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(24, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_4, Rectangle{Float64}(0.003328021612597551, 0.0031613014764634347, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(30, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_5, Rectangle{Float64}(0.003324835919433458, 0.003164330479020927, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(36, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_6, Rectangle{Float64}(0.0033231191149581257, 0.0031659652494097947, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0))))])), Region{Offset{Float64}, Material{Float64, :semicon}}(:core_semicon_inner, Offset{Float64}(0.002), Material{Float64, :semicon}(1000.0, 1000.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :insulator}}(:core_insulation, Offset{Float64}(0.02), Material{Float64, :insulator}(1.0e14, 2.77781, 1.59891, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :semicon}}(:core_semicon_outer, Offset{Float64}(0.0015), Material{Float64, :semicon}(500.0, 1000.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :semicon}}(:core_water_blocking, Offset{Float64}(0.0003), Material{Float64, :semicon}(500.0, 1000.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Terminal{Stack{Vector{AbstractCablePart}}}(:sheath, Stack{Vector{AbstractCablePart}}(AbstractCablePart[Region{Offset{Float64}, Material{Float64, :conductor}}(:sheath_lead, Offset{Float64}(0.0033), Material{Float64, :conductor}(2.14e-7, 1.0, 0.999983, 20.0, 0.004, 0.0, 90.0, 0.0, 0.0))])), Region{Offset{Float64}, Material{Float64, :insulator}}(:sheath_inner_pe, Offset{Float64}(0.003), Material{Float64, :insulator}(1.97e14, 2.51862, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :insulator}}(:sheath_bedding, Offset{Float64}(0.009376520171274612), Material{Float64, :insulator}(1.0e15, 2.8, 1.1263, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Terminal{Stack{Vector{AbstractCablePart}}}(:armor, Stack{Vector{AbstractCablePart}}(AbstractCablePart[Enclosure{Region{Offset{Float64}, Material{Float64, :insulator}}, Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Circle{Float64}, Material{Float64, :conductor}}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Circle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Circle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(68, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)))))])), Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_jacket, Offset{Float64}(0.01), Material{Float64, :insulator}(1.0e15, 2.8, 1.1263, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0))]), LineCableModels.DataModel.PlacedRegion[LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, 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Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 1.0471975511965976))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 2.0943951023931953))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 3.141592653589793))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 4.1887902047863905))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 5.235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 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0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 4.1887902047863905))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 5.235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 0.5235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 1.0471975511965976)))  …  LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.04656463617435248, -0.04244927470784676, 5.543987035746694))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05028272458324688, -0.03797175099672642, 5.636386819675805))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05357181851518636, -0.03317026569456432, 5.728786603604917))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.056403856580445486, -0.028085783381002417, 5.821186387534029))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05875467682879991, -0.022761683066402156, 5.91358617146314))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.060604222890766564, -0.01724338809742275, 6.005985955392251))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.06193671509147635, -0.011577978621043481, 6.098385739321364))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.06274078507729632, -0.005813789913349804, 6.190785523250475))), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}(Annulus{Float64}(0.060099572806614515, 0.06591957280661452, Placement{Float64}(0.0, 0.0, 0.0)), Circle{Float64}[Circle{Float64}(0.00291, Placement{Float64}(0.06300957280661451, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.0627407850772963, 0.005813789913349805, 0.09239978392911156)), Circle{Float64}(0.00291, Placement{Float64}(0.06193671509147635, 0.011577978621043499, 0.18479956785822313)), Circle{Float64}(0.00291, Placement{Float64}(0.06060422289076657, 0.017243388097422728, 0.2771993517873347)), Circle{Float64}(0.00291, Placement{Float64}(0.05875467682879991, 0.02276168306640215, 0.36959913571644626)), Circle{Float64}(0.00291, Placement{Float64}(0.05640385658044548, 0.02808578338100243, 0.46199891964555784)), Circle{Float64}(0.00291, Placement{Float64}(0.05357181851518638, 0.03317026569456429, 0.5543987035746694)), Circle{Float64}(0.00291, Placement{Float64}(0.05028272458324689, 0.037971750996726415, 0.646798487503781)), Circle{Float64}(0.00291, Placement{Float64}(0.046564636174352476, 0.04244927470784677, 0.7391982714328925)), Circle{Float64}(0.00291, Placement{Float64}(0.04244927470784677, 0.046564636174352476, 0.831598055362004))  …  Circle{Float64}(0.00291, Placement{Float64}(0.0379717509967264, -0.0502827245832469, 5.359187467888471)), 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Placement{Float64}(0.0, 0.0, 0.0), regions = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10  …  195, 196, 197, 198, 199, 200, 201, 202, 203, 204], members = [])], @NamedTuple{placements::Vector{Placement{Float64}}, copies::Vector{UnitRange{Int64}}}[(placements = [Placement{Float64}(0.0, 0.0, 0.0), Placement{Float64}(0.0, 0.0, 1.0471975511965976), Placement{Float64}(0.0, 0.0, 2.0943951023931953), Placement{Float64}(0.0, 0.0, 3.141592653589793), Placement{Float64}(0.0, 0.0, 4.1887902047863905), Placement{Float64}(0.0, 0.0, 5.235987755982988)], copies = [2:2, 3:3, 4:4, 5:5, 6:6, 7:7]), (placements = [Placement{Float64}(0.0, 0.0, 0.0), Placement{Float64}(0.0, 0.0, 0.5235987755982988), Placement{Float64}(0.0, 0.0, 1.0471975511965976), Placement{Float64}(0.0, 0.0, 1.5707963267948966), Placement{Float64}(0.0, 0.0, 2.0943951023931953), Placement{Float64}(0.0, 0.0, 2.617993877991494), Placement{Float64}(0.0, 0.0, 3.141592653589793), Placement{Float64}(0.0, 0.0, 3.665191429188092), Placement{Float64}(0.0, 0.0, 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Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(-0.5, -1.0, 1.0471975511965976)))  …  LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5465646361743525, -1.0424492747078467, 5.543987035746694))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5502827245832469, -1.0379717509967263, 5.636386819675805))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5535718185151863, -1.0331702656945643, 5.728786603604917))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5564038565804454, -1.0280857833810024, 5.821186387534029))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5587546768287999, -1.0227616830664021, 5.91358617146314))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5606042228907666, -1.0172433880974228, 6.005985955392251))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5619367150914764, -1.0115779786210435, 6.098385739321364))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5627407850772963, -1.00581378991335, 6.190785523250475))), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}(Annulus{Float64}(0.060099572806614515, 0.06591957280661452, Placement{Float64}(0.5, -1.0, 0.0)), Circle{Float64}[Circle{Float64}(0.00291, Placement{Float64}(0.5630095728066145, -1.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5627407850772963, -0.9941862100866502, 0.09239978392911156)), Circle{Float64}(0.00291, Placement{Float64}(0.5619367150914764, -0.9884220213789565, 0.18479956785822313)), Circle{Float64}(0.00291, Placement{Float64}(0.5606042228907666, -0.9827566119025772, 0.2771993517873347)), Circle{Float64}(0.00291, Placement{Float64}(0.5587546768287999, -0.9772383169335979, 0.36959913571644626)), Circle{Float64}(0.00291, Placement{Float64}(0.5564038565804454, -0.9719142166189976, 0.46199891964555784)), Circle{Float64}(0.00291, Placement{Float64}(0.5535718185151863, -0.9668297343054357, 0.5543987035746694)), Circle{Float64}(0.00291, Placement{Float64}(0.5502827245832469, -0.9620282490032736, 0.646798487503781)), Circle{Float64}(0.00291, Placement{Float64}(0.5465646361743525, -0.9575507252921532, 0.7391982714328925)), Circle{Float64}(0.00291, Placement{Float64}(0.5424492747078468, -0.9534353638256475, 0.831598055362004))  …  Circle{Float64}(0.00291, Placement{Float64}(0.5379717509967264, -1.050282724583247, 5.359187467888471)), Circle{Float64}(0.00291, Placement{Float64}(0.5424492747078468, -1.0465646361743524, 5.451587251817583)), Circle{Float64}(0.00291, Placement{Float64}(0.5465646361743525, -1.0424492747078467, 5.543987035746694)), Circle{Float64}(0.00291, Placement{Float64}(0.5502827245832469, -1.0379717509967263, 5.636386819675805)), Circle{Float64}(0.00291, Placement{Float64}(0.5535718185151863, -1.0331702656945643, 5.728786603604917)), Circle{Float64}(0.00291, Placement{Float64}(0.5564038565804454, -1.0280857833810024, 5.821186387534029)), Circle{Float64}(0.00291, Placement{Float64}(0.5587546768287999, -1.0227616830664021, 5.91358617146314)), Circle{Float64}(0.00291, Placement{Float64}(0.5606042228907666, -1.0172433880974228, 6.005985955392251)), Circle{Float64}(0.00291, Placement{Float64}(0.5619367150914764, -1.0115779786210435, 6.098385739321364)), Circle{Float64}(0.00291, Placement{Float64}(0.5627407850772963, -1.00581378991335, 6.190785523250475))])), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, Annulus{Float64}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_jacket, Offset{Float64}(0.01), Material{Float64, :insulator}(1.0e15, 2.8, 1.1263, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Annulus{Float64}(0.06591957280661452, 0.07591957280661452, Placement{Float64}(0.5, -1.0, 0.0)))], [(cable = 1, terminal = 1, connection = 1, regions = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10  …  118, 119, 120, 121, 122, 123, 124, 125, 126, 127]), (cable = 1, terminal = 2, connection = 2, regions = [132]), (cable = 1, terminal = 3, connection = 3, regions = [135, 136, 137, 138, 139, 140, 141, 142, 143, 144  …  193, 194, 195, 196, 197, 198, 199, 200, 201, 202]), (cable = 2, terminal = 1, connection = 4, regions = [205, 206, 207, 208, 209, 210, 211, 212, 213, 214  …  322, 323, 324, 325, 326, 327, 328, 329, 330, 331]), (cable = 2, terminal = 2, connection = 5, regions = [336]), (cable = 2, terminal = 3, connection = 6, regions = [339, 340, 341, 342, 343, 344, 345, 346, 347, 348  …  397, 398, 399, 400, 401, 402, 403, 404, 405, 406])])

Line parameters problem at 70 °C:

problem = LineParametersProblem(system, earth; temperature = 70.0, frequencies) # [°C]

LineParametersProblem{Float64, CableSystem{Float64, Vector{CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}}, Vector{LineCableModels.DataModel.PlacedRegion}}, EarthModel{Float64, 2}}(CableSystem{Float64, Vector{CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}}, Vector{LineCableModels.DataModel.PlacedRegion}}("cable_320kv_armoured_dc_bipole", 150000.0, CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}[CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}("cable_320kv_armoured", Stack{Vector{AbstractCablePart}}(AbstractCablePart[Terminal{Stack{Vector{AbstractCablePart}}}(:core, Stack{Vector{AbstractCablePart}}(AbstractCablePart[Region{Circle{Float64}, Material{Float64, :conductor}}(:core_center, Circle{Float64}(0.00183, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(6, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(12, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(18, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_3, Rectangle{Float64}(0.0033350171093775244, 0.003154670363766309, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(24, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_4, Rectangle{Float64}(0.003328021612597551, 0.0031613014764634347, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(30, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_5, Rectangle{Float64}(0.003324835919433458, 0.003164330479020927, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(36, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_6, Rectangle{Float64}(0.0033231191149581257, 0.0031659652494097947, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0))))])), Region{Offset{Float64}, Material{Float64, :semicon}}(:core_semicon_inner, Offset{Float64}(0.002), Material{Float64, :semicon}(1000.0, 1000.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :insulator}}(:core_insulation, Offset{Float64}(0.02), Material{Float64, :insulator}(1.0e14, 2.77781, 1.59891, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :semicon}}(:core_semicon_outer, Offset{Float64}(0.0015), Material{Float64, :semicon}(500.0, 1000.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :semicon}}(:core_water_blocking, Offset{Float64}(0.0003), Material{Float64, :semicon}(500.0, 1000.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Terminal{Stack{Vector{AbstractCablePart}}}(:sheath, Stack{Vector{AbstractCablePart}}(AbstractCablePart[Region{Offset{Float64}, Material{Float64, :conductor}}(:sheath_lead, Offset{Float64}(0.0033), Material{Float64, :conductor}(2.14e-7, 1.0, 0.999983, 20.0, 0.004, 0.0, 90.0, 0.0, 0.0))])), Region{Offset{Float64}, Material{Float64, :insulator}}(:sheath_inner_pe, Offset{Float64}(0.003), Material{Float64, :insulator}(1.97e14, 2.51862, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :insulator}}(:sheath_bedding, Offset{Float64}(0.009376520171274612), Material{Float64, :insulator}(1.0e15, 2.8, 1.1263, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Terminal{Stack{Vector{AbstractCablePart}}}(:armor, Stack{Vector{AbstractCablePart}}(AbstractCablePart[Enclosure{Region{Offset{Float64}, Material{Float64, :insulator}}, Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Circle{Float64}, Material{Float64, :conductor}}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Circle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Circle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(68, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)))))])), Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_jacket, Offset{Float64}(0.01), Material{Float64, :insulator}(1.0e15, 2.8, 1.1263, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0))]), LineCableModels.DataModel.PlacedRegion[LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:core_center, Circle{Float64}(0.00183, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00183, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 1.0471975511965976))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 2.0943951023931953))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 3.141592653589793))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 4.1887902047863905))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 5.235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 0.5235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 1.0471975511965976)))  …  LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.04656463617435248, -0.04244927470784676, 5.543987035746694))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05028272458324688, -0.03797175099672642, 5.636386819675805))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05357181851518636, -0.03317026569456432, 5.728786603604917))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.056403856580445486, -0.028085783381002417, 5.821186387534029))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05875467682879991, -0.022761683066402156, 5.91358617146314))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.060604222890766564, -0.01724338809742275, 6.005985955392251))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.06193671509147635, -0.011577978621043481, 6.098385739321364))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.06274078507729632, -0.005813789913349804, 6.190785523250475))), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}(Annulus{Float64}(0.060099572806614515, 0.06591957280661452, Placement{Float64}(0.0, 0.0, 0.0)), Circle{Float64}[Circle{Float64}(0.00291, 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0.046564636174352476, 0.831598055362004))  …  Circle{Float64}(0.00291, Placement{Float64}(0.0379717509967264, -0.0502827245832469, 5.359187467888471)), Circle{Float64}(0.00291, Placement{Float64}(0.04244927470784678, -0.04656463617435246, 5.451587251817583)), Circle{Float64}(0.00291, Placement{Float64}(0.04656463617435248, -0.04244927470784676, 5.543987035746694)), Circle{Float64}(0.00291, Placement{Float64}(0.05028272458324688, -0.03797175099672642, 5.636386819675805)), Circle{Float64}(0.00291, Placement{Float64}(0.05357181851518636, -0.03317026569456432, 5.728786603604917)), Circle{Float64}(0.00291, Placement{Float64}(0.056403856580445486, -0.028085783381002417, 5.821186387534029)), Circle{Float64}(0.00291, Placement{Float64}(0.05875467682879991, -0.022761683066402156, 5.91358617146314)), Circle{Float64}(0.00291, Placement{Float64}(0.060604222890766564, -0.01724338809742275, 6.005985955392251)), Circle{Float64}(0.00291, Placement{Float64}(0.06193671509147635, -0.011577978621043481, 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Placement{Float64}(0.0, 0.0, 3.926990816987241), Placement{Float64}(0.0, 0.0, 4.1887902047863905), Placement{Float64}(0.0, 0.0, 4.45058959258554), Placement{Float64}(0.0, 0.0, 4.71238898038469), Placement{Float64}(0.0, 0.0, 4.974188368183839), Placement{Float64}(0.0, 0.0, 5.235987755982988), Placement{Float64}(0.0, 0.0, 5.497787143782138), Placement{Float64}(0.0, 0.0, 5.759586531581287), Placement{Float64}(0.0, 0.0, 6.021385919380436)], copies = [38:38, 39:39, 40:40, 41:41, 42:42, 43:43, 44:44, 45:45, 46:46, 47:47  …  52:52, 53:53, 54:54, 55:55, 56:56, 57:57, 58:58, 59:59, 60:60, 61:61]), (placements = [Placement{Float64}(0.0, 0.0, 0.0), Placement{Float64}(0.0, 0.0, 0.20943951023931953), Placement{Float64}(0.0, 0.0, 0.41887902047863906), Placement{Float64}(0.0, 0.0, 0.6283185307179586), Placement{Float64}(0.0, 0.0, 0.8377580409572781), Placement{Float64}(0.0, 0.0, 1.0471975511965976), Placement{Float64}(0.0, 0.0, 1.2566370614359172), Placement{Float64}(0.0, 0.0, 1.4660765716752366), Placement{Float64}(0.0, 0.0, 1.6755160819145563), Placement{Float64}(0.0, 0.0, 1.8849555921538759)  …  Placement{Float64}(0.0, 0.0, 4.1887902047863905), Placement{Float64}(0.0, 0.0, 4.39822971502571), Placement{Float64}(0.0, 0.0, 4.607669225265029), Placement{Float64}(0.0, 0.0, 4.817108735504349), Placement{Float64}(0.0, 0.0, 5.026548245743669), Placement{Float64}(0.0, 0.0, 5.235987755982988), Placement{Float64}(0.0, 0.0, 5.445427266222308), Placement{Float64}(0.0, 0.0, 5.654866776461628), Placement{Float64}(0.0, 0.0, 5.864306286700947), Placement{Float64}(0.0, 0.0, 6.073745796940266)], copies = [62:62, 63:63, 64:64, 65:65, 66:66, 67:67, 68:68, 69:69, 70:70, 71:71  …  82:82, 83:83, 84:84, 85:85, 86:86, 87:87, 88:88, 89:89, 90:90, 91:91]), (placements = [Placement{Float64}(0.0, 0.0, 0.0), Placement{Float64}(0.0, 0.0, 0.17453292519943295), Placement{Float64}(0.0, 0.0, 0.3490658503988659), Placement{Float64}(0.0, 0.0, 0.5235987755982988), Placement{Float64}(0.0, 0.0, 0.6981317007977318), 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Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 1.0471975511965976))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, 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Placement{Float64}(0.0, 0.0, 3.141592653589793))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 4.1887902047863905))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 5.235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 0.5235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 1.0471975511965976)))  …  LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.04656463617435248, -0.04244927470784676, 5.543987035746694))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05028272458324688, -0.03797175099672642, 5.636386819675805))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05357181851518636, -0.03317026569456432, 5.728786603604917))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.056403856580445486, -0.028085783381002417, 5.821186387534029))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05875467682879991, -0.022761683066402156, 5.91358617146314))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.060604222890766564, -0.01724338809742275, 6.005985955392251))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.06193671509147635, -0.011577978621043481, 6.098385739321364))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.06274078507729632, -0.005813789913349804, 6.190785523250475))), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.DifferenceShape{Float64, 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regions = [132]), (name = :armor, scope = @NamedTuple{repeat::Int64, copy::Int64}[], regions = [135, 136, 137, 138, 139, 140, 141, 142, 143, 144  …  193, 194, 195, 196, 197, 198, 199, 200, 201, 202])], @NamedTuple{at::Placement{Float64}, regions::Vector{Int64}, members::Vector{Int64}}[(at = Placement{Float64}(0.0, 0.0, 0.0), regions = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10  …  195, 196, 197, 198, 199, 200, 201, 202, 203, 204], members = [])], @NamedTuple{placements::Vector{Placement{Float64}}, copies::Vector{UnitRange{Int64}}}[(placements = [Placement{Float64}(0.0, 0.0, 0.0), Placement{Float64}(0.0, 0.0, 1.0471975511965976), Placement{Float64}(0.0, 0.0, 2.0943951023931953), Placement{Float64}(0.0, 0.0, 3.141592653589793), Placement{Float64}(0.0, 0.0, 4.1887902047863905), Placement{Float64}(0.0, 0.0, 5.235987755982988)], copies = [2:2, 3:3, 4:4, 5:5, 6:6, 7:7]), (placements = [Placement{Float64}(0.0, 0.0, 0.0), Placement{Float64}(0.0, 0.0, 0.5235987755982988), Placement{Float64}(0.0, 0.0, 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0.007976785066679433, 0.523598775598299, Placement{Float64}(-0.5, -1.0, 0.5235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(-0.5, -1.0, 1.0471975511965976)))  …  LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5465646361743525, -1.0424492747078467, 5.543987035746694))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5502827245832469, -1.0379717509967263, 5.636386819675805))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5535718185151863, -1.0331702656945643, 5.728786603604917))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5564038565804454, -1.0280857833810024, 5.821186387534029))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5587546768287999, -1.0227616830664021, 5.91358617146314))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5606042228907666, -1.0172433880974228, 6.005985955392251))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5619367150914764, -1.0115779786210435, 6.098385739321364))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5627407850772963, -1.00581378991335, 6.190785523250475))), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}(Annulus{Float64}(0.060099572806614515, 0.06591957280661452, Placement{Float64}(0.5, -1.0, 0.0)), Circle{Float64}[Circle{Float64}(0.00291, Placement{Float64}(0.5630095728066145, -1.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5627407850772963, -0.9941862100866502, 0.09239978392911156)), Circle{Float64}(0.00291, Placement{Float64}(0.5619367150914764, -0.9884220213789565, 0.18479956785822313)), Circle{Float64}(0.00291, Placement{Float64}(0.5606042228907666, -0.9827566119025772, 0.2771993517873347)), Circle{Float64}(0.00291, Placement{Float64}(0.5587546768287999, -0.9772383169335979, 0.36959913571644626)), Circle{Float64}(0.00291, Placement{Float64}(0.5564038565804454, -0.9719142166189976, 0.46199891964555784)), Circle{Float64}(0.00291, Placement{Float64}(0.5535718185151863, -0.9668297343054357, 0.5543987035746694)), Circle{Float64}(0.00291, Placement{Float64}(0.5502827245832469, -0.9620282490032736, 0.646798487503781)), Circle{Float64}(0.00291, Placement{Float64}(0.5465646361743525, -0.9575507252921532, 0.7391982714328925)), Circle{Float64}(0.00291, Placement{Float64}(0.5424492747078468, -0.9534353638256475, 0.831598055362004))  …  Circle{Float64}(0.00291, Placement{Float64}(0.5379717509967264, -1.050282724583247, 5.359187467888471)), Circle{Float64}(0.00291, Placement{Float64}(0.5424492747078468, -1.0465646361743524, 5.451587251817583)), Circle{Float64}(0.00291, Placement{Float64}(0.5465646361743525, -1.0424492747078467, 5.543987035746694)), Circle{Float64}(0.00291, Placement{Float64}(0.5502827245832469, -1.0379717509967263, 5.636386819675805)), Circle{Float64}(0.00291, Placement{Float64}(0.5535718185151863, -1.0331702656945643, 5.728786603604917)), Circle{Float64}(0.00291, Placement{Float64}(0.5564038565804454, -1.0280857833810024, 5.821186387534029)), Circle{Float64}(0.00291, Placement{Float64}(0.5587546768287999, -1.0227616830664021, 5.91358617146314)), Circle{Float64}(0.00291, Placement{Float64}(0.5606042228907666, -1.0172433880974228, 6.005985955392251)), Circle{Float64}(0.00291, Placement{Float64}(0.5619367150914764, -1.0115779786210435, 6.098385739321364)), Circle{Float64}(0.00291, Placement{Float64}(0.5627407850772963, -1.00581378991335, 6.190785523250475))])), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, Annulus{Float64}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_jacket, Offset{Float64}(0.01), Material{Float64, :insulator}(1.0e15, 2.8, 1.1263, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Annulus{Float64}(0.06591957280661452, 0.07591957280661452, Placement{Float64}(0.5, -1.0, 0.0)))], [(cable = 1, terminal = 1, connection = 1, regions = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10  …  118, 119, 120, 121, 122, 123, 124, 125, 126, 127]), (cable = 1, terminal = 2, connection = 2, regions = [132]), (cable = 1, terminal = 3, connection = 3, regions = [135, 136, 137, 138, 139, 140, 141, 142, 143, 144  …  193, 194, 195, 196, 197, 198, 199, 200, 201, 202]), (cable = 2, terminal = 1, connection = 4, regions = [205, 206, 207, 208, 209, 210, 211, 212, 213, 214  …  322, 323, 324, 325, 326, 327, 328, 329, 330, 331]), (cable = 2, terminal = 2, connection = 5, regions = [336]), (cable = 2, terminal = 3, connection = 6, regions = [339, 340, 341, 342, 343, 344, 345, 346, 347, 348  …  397, 398, 399, 400, 401, 402, 403, 404, 405, 406])]), EarthModel{Float64, 2}((EarthLayer{Float64}(Inf, 1.0, 1.0, Inf), EarthLayer{Float64}(1000.0, 10.0, 1.0, Inf))), 70.0, [0.1, 0.12022644346174127, 0.14454397707459277, 0.17378008287493754, 0.20892961308540392, 0.251188643150958, 0.3019951720402016, 0.36307805477010135, 0.436515832240166, 0.5248074602497725  …  1.9054607179632483e6, 2.2908676527677746e6, 2.754228703338169e6, 3.3113112148259077e6, 3.9810717055349695e6, 4.786300923226381e6, 5.754399373371567e6, 6.918309709189363e6, 8.317637711026709e6, 1.0e7])

Compute the line parameters and inspect the row labels:

result = compute(problem, CoaxialFormulation())
result.terminals

6-element Vector{String}:
 "cable:1:core"
 "cable:1:sheath"
 "cable:1:armor"
 "cable:2:core"
 "cable:2:sheath"
 "cable:2:armor"

Line parameters at power frequency

Since no two terminals share an index and no terminal has the index zero, the bundle and Kron reductions leave the six conductors unchanged. The matrices at the frequency closest to 50 Hz are presented below, with Z in Ω/km and Y in µS/km, rounded.

Frequency closest to 50 Hz:

k = argmin(abs.(result.frequencies .- 50.0))
result.frequencies[k] # [Hz]

52.48074602497726

Series resistance matrix:

round.(real(result.Z[:, :, k]) .* 1e3; digits = 4) # [Ω/km]

6×6 Matrix{Float64}:
 0.0781  0.0526  0.0522  0.0518  0.0518  0.0518
 0.0526  0.3214  0.0522  0.0518  0.0518  0.0518
 0.0522  0.0522  0.1729  0.0518  0.0518  0.0518
 0.0518  0.0518  0.0518  0.0781  0.0526  0.0522
 0.0518  0.0518  0.0518  0.0526  0.3214  0.0522
 0.0518  0.0518  0.0518  0.0522  0.0522  0.1729

Series reactance matrix:

round.(imag(result.Z[:, :, k]) .* 1e3; digits = 4) # [Ω/km]

6×6 Matrix{Float64}:
 0.878   0.759   0.7227  0.5252  0.5252  0.5252
 0.759   0.7582  0.7227  0.5252  0.5252  0.5252
 0.7227  0.7227  0.717   0.5252  0.5252  0.5252
 0.5252  0.5252  0.5252  0.878   0.759   0.7227
 0.5252  0.5252  0.5252  0.759   0.7582  0.7227
 0.5252  0.5252  0.5252  0.7227  0.7227  0.717

Shunt conductance matrix:

round.(real(result.Y[:, :, k]) .* 1e9; digits = 4) # [µS/km]

6×6 Matrix{Float64}:
 -0.0   0.0   0.0      0.0   0.0  -0.0
  0.0  -0.0   0.0     -0.0  -0.0  -0.0
 -0.0   0.0   0.3538   0.0  -0.0   0.2972
 -0.0  -0.0  -0.0      0.0   0.0  -0.0
  0.0   0.0   0.0      0.0  -0.0   0.0
  0.0  -0.0   0.2972   0.0  -0.0   0.3538

Shunt susceptance matrix:

round.(imag(result.Y[:, :, k]) .* 1e9; digits = 1) # [µS/km]

6×6 Matrix{Float64}:
  80.4   -80.4     0.0    0.0    -0.0     0.0
 -80.4   296.8  -216.4   -0.0    -0.0    -0.0
   0.0  -216.4   580.0   -0.0     0.0    -0.0
   0.0    -0.0     0.0   80.4   -80.4    -0.0
  -0.0     0.0    -0.0  -80.4   296.8  -216.4
   0.0     0.0    -0.0   -0.0  -216.4   580.0

Bonded sheath and armor

Terminals that share a conductor index are bonded: they have the same voltage and their currents add. With the default option bundle = true, the computation merges the bonded terminals into one conductor, labeled with the names of both terminals.

Cable system with the sheath and armor of each cable bonded:

bundled = build(CableSystem, [design, design], placements;
    connections = [(core = 2i - 1, sheath = 2i, armor = 2i) for i in 1:2],
    id = "cable_320kv_bundled_screens", line_length = 150_000.0) # [m]
bundled_problem = LineParametersProblem(bundled, earth; temperature = 70.0, frequencies)

LineParametersProblem{Float64, CableSystem{Float64, Vector{CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}}, Vector{LineCableModels.DataModel.PlacedRegion}}, EarthModel{Float64, 2}}(CableSystem{Float64, Vector{CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}}, Vector{LineCableModels.DataModel.PlacedRegion}}("cable_320kv_bundled_screens", 150000.0, CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}[CableDesign{Float64, Stack{Vector{AbstractCablePart}}, Vector{LineCableModels.DataModel.PlacedRegion}, Circle{Float64}}("cable_320kv_armoured", Stack{Vector{AbstractCablePart}}(AbstractCablePart[Terminal{Stack{Vector{AbstractCablePart}}}(:core, Stack{Vector{AbstractCablePart}}(AbstractCablePart[Region{Circle{Float64}, Material{Float64, :conductor}}(:core_center, Circle{Float64}(0.00183, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(6, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(12, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(18, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_3, Rectangle{Float64}(0.0033350171093775244, 0.003154670363766309, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(24, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_4, Rectangle{Float64}(0.003328021612597551, 0.0031613014764634347, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(30, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_5, Rectangle{Float64}(0.003324835919433458, 0.003164330479020927, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)))), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Rectangle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(36, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_6, Rectangle{Float64}(0.0033231191149581257, 0.0031659652494097947, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0))))])), Region{Offset{Float64}, Material{Float64, :semicon}}(:core_semicon_inner, Offset{Float64}(0.002), Material{Float64, :semicon}(1000.0, 1000.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :insulator}}(:core_insulation, Offset{Float64}(0.02), Material{Float64, :insulator}(1.0e14, 2.77781, 1.59891, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :semicon}}(:core_semicon_outer, Offset{Float64}(0.0015), Material{Float64, :semicon}(500.0, 1000.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :semicon}}(:core_water_blocking, Offset{Float64}(0.0003), Material{Float64, :semicon}(500.0, 1000.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Terminal{Stack{Vector{AbstractCablePart}}}(:sheath, Stack{Vector{AbstractCablePart}}(AbstractCablePart[Region{Offset{Float64}, Material{Float64, :conductor}}(:sheath_lead, Offset{Float64}(0.0033), Material{Float64, :conductor}(2.14e-7, 1.0, 0.999983, 20.0, 0.004, 0.0, 90.0, 0.0, 0.0))])), Region{Offset{Float64}, Material{Float64, :insulator}}(:sheath_inner_pe, Offset{Float64}(0.003), Material{Float64, :insulator}(1.97e14, 2.51862, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Region{Offset{Float64}, Material{Float64, :insulator}}(:sheath_bedding, Offset{Float64}(0.009376520171274612), Material{Float64, :insulator}(1.0e15, 2.8, 1.1263, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Terminal{Stack{Vector{AbstractCablePart}}}(:armor, Stack{Vector{AbstractCablePart}}(AbstractCablePart[Enclosure{Region{Offset{Float64}, Material{Float64, :insulator}}, Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Circle{Float64}, Material{Float64, :conductor}}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Lay{Helix{LayRatio{Float64}, Float64}, Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Circle{Float64}, Material{Float64, :conductor}}}}(Helix{LayRatio{Float64}, Float64}(LayRatio{Float64}(15.0), 1, 0.0), Repeat{CircularPattern{Float64, Offset{Float64}}, Region{Circle{Float64}, Material{Float64, :conductor}}}(CircularPattern{Float64, Offset{Float64}}(68, Offset{Float64}(0.0), 0.0, 6.283185307179586, 0.0), Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)))))])), Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_jacket, Offset{Float64}(0.01), Material{Float64, :insulator}(1.0e15, 2.8, 1.1263, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0))]), LineCableModels.DataModel.PlacedRegion[LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:core_center, Circle{Float64}(0.00183, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00183, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 1.0471975511965976))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 2.0943951023931953))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 3.141592653589793))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 4.1887902047863905))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 5.235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 0.5235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 1.0471975511965976)))  …  LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, 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90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05357181851518636, -0.03317026569456432, 5.728786603604917))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.056403856580445486, -0.028085783381002417, 5.821186387534029))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05875467682879991, -0.022761683066402156, 5.91358617146314))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.060604222890766564, -0.01724338809742275, 6.005985955392251))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.06193671509147635, -0.011577978621043481, 6.098385739321364))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.06274078507729632, -0.005813789913349804, 6.190785523250475))), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}(Annulus{Float64}(0.060099572806614515, 0.06591957280661452, Placement{Float64}(0.0, 0.0, 0.0)), Circle{Float64}[Circle{Float64}(0.00291, 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Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 1.0471975511965976))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, 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Placement{Float64}(0.0, 0.0, 3.141592653589793))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 4.1887902047863905))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(0.0, 0.0, 5.235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 0.5235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(0.0, 0.0, 1.0471975511965976)))  …  LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.04656463617435248, -0.04244927470784676, 5.543987035746694))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05028272458324688, -0.03797175099672642, 5.636386819675805))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05357181851518636, -0.03317026569456432, 5.728786603604917))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.056403856580445486, -0.028085783381002417, 5.821186387534029))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.05875467682879991, -0.022761683066402156, 5.91358617146314))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.060604222890766564, -0.01724338809742275, 6.005985955392251))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.06193671509147635, -0.011577978621043481, 6.098385739321364))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.06274078507729632, -0.005813789913349804, 6.190785523250475))), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.DifferenceShape{Float64, 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1.8902871841984354, 1.8902871841984354, 1.8902871841984354, 1.8902871841984354, 1.8902871841984354  …  1.8902871841984354, 1.8902871841984354, 1.8902871841984354, 1.8902871841984354, 1.8902871841984354, 1.8902871841984354, 1.8902871841984354, 1.8902871841984354, 1.8902871841984354, 1.8902871841984357], overlengths = [1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604  …  1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604, 1.0216970727418604], axis = (0.0, 0.0))], @NamedTuple{repeat::Int64, factor::Float64}[], [(region = 203, contents = [135, 136, 137, 138, 139, 140, 141, 142, 143, 144  …  193, 194, 195, 196, 197, 198, 199, 200, 201, 202])])], Placement{Float64}[Placement{Float64}(-0.5, -1.0, 0.0), Placement{Float64}(0.5, -1.0, 0.0)], LineCableModels.DataModel.PlacedRegion[LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:core_center, Circle{Float64}(0.00183, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00183, Placement{Float64}(-0.5, -1.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(-0.5, -1.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(-0.5, -1.0, 1.0471975511965976))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(-0.5, -1.0, 2.0943951023931953))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(-0.5, -1.0, 3.141592653589793))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(-0.5, -1.0, 4.1887902047863905))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_1, Rectangle{Float64}(0.003493306988375041, 0.0030117248992482014, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.00183, 0.0048417248992482015, 1.0471975511965974, Placement{Float64}(-0.5, -1.0, 5.235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(-0.5, -1.0, 0.0))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(-0.5, -1.0, 0.5235987755982988))), LineCableModels.DataModel.PlacedRegion{Region{Rectangle{Float64}, Material{Float64, :conductor}}, LineCableModels.DataModel.AnnularSector{Float64}}(Region{Rectangle{Float64}, Material{Float64, :conductor}}(:core_strands_2, Rectangle{Float64}(0.0033558780615771506, 0.0031350601674312315, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(2.3853e-8, 1.0, 1.01663, 20.0, 0.00393, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.AnnularSector{Float64}(0.004841724899248202, 0.007976785066679433, 0.523598775598299, Placement{Float64}(-0.5, -1.0, 1.0471975511965976)))  …  LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5465646361743525, -1.0424492747078467, 5.543987035746694))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5502827245832469, -1.0379717509967263, 5.636386819675805))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5535718185151863, -1.0331702656945643, 5.728786603604917))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5564038565804454, -1.0280857833810024, 5.821186387534029))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5587546768287999, -1.0227616830664021, 5.91358617146314))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5606042228907666, -1.0172433880974228, 6.005985955392251))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5619367150914764, -1.0115779786210435, 6.098385739321364))), LineCableModels.DataModel.PlacedRegion{Region{Circle{Float64}, Material{Float64, :conductor}}, Circle{Float64}}(Region{Circle{Float64}, Material{Float64, :conductor}}(:armor_wires, Circle{Float64}(0.00291, Placement{Float64}(0.0, 0.0, 0.0)), Material{Float64, :conductor}(1.7475e-7, 1.0, 36.6326, 20.0, 0.0045, 0.0, 90.0, 0.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5627407850772963, -1.00581378991335, 6.190785523250475))), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_wires_fill, Offset{Float64}(0.00582), Material{Float64, :insulator}(Inf, 1.0, 1.0, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), LineCableModels.DataModel.DifferenceShape{Float64, Annulus{Float64}, Vector{Circle{Float64}}}(Annulus{Float64}(0.060099572806614515, 0.06591957280661452, Placement{Float64}(0.5, -1.0, 0.0)), Circle{Float64}[Circle{Float64}(0.00291, Placement{Float64}(0.5630095728066145, -1.0, 0.0)), Circle{Float64}(0.00291, Placement{Float64}(0.5627407850772963, -0.9941862100866502, 0.09239978392911156)), Circle{Float64}(0.00291, Placement{Float64}(0.5619367150914764, -0.9884220213789565, 0.18479956785822313)), Circle{Float64}(0.00291, Placement{Float64}(0.5606042228907666, -0.9827566119025772, 0.2771993517873347)), Circle{Float64}(0.00291, Placement{Float64}(0.5587546768287999, -0.9772383169335979, 0.36959913571644626)), Circle{Float64}(0.00291, Placement{Float64}(0.5564038565804454, -0.9719142166189976, 0.46199891964555784)), Circle{Float64}(0.00291, Placement{Float64}(0.5535718185151863, -0.9668297343054357, 0.5543987035746694)), Circle{Float64}(0.00291, Placement{Float64}(0.5502827245832469, -0.9620282490032736, 0.646798487503781)), Circle{Float64}(0.00291, Placement{Float64}(0.5465646361743525, -0.9575507252921532, 0.7391982714328925)), Circle{Float64}(0.00291, Placement{Float64}(0.5424492747078468, -0.9534353638256475, 0.831598055362004))  …  Circle{Float64}(0.00291, Placement{Float64}(0.5379717509967264, -1.050282724583247, 5.359187467888471)), Circle{Float64}(0.00291, Placement{Float64}(0.5424492747078468, -1.0465646361743524, 5.451587251817583)), Circle{Float64}(0.00291, Placement{Float64}(0.5465646361743525, -1.0424492747078467, 5.543987035746694)), Circle{Float64}(0.00291, Placement{Float64}(0.5502827245832469, -1.0379717509967263, 5.636386819675805)), Circle{Float64}(0.00291, Placement{Float64}(0.5535718185151863, -1.0331702656945643, 5.728786603604917)), Circle{Float64}(0.00291, Placement{Float64}(0.5564038565804454, -1.0280857833810024, 5.821186387534029)), Circle{Float64}(0.00291, Placement{Float64}(0.5587546768287999, -1.0227616830664021, 5.91358617146314)), Circle{Float64}(0.00291, Placement{Float64}(0.5606042228907666, -1.0172433880974228, 6.005985955392251)), Circle{Float64}(0.00291, Placement{Float64}(0.5619367150914764, -1.0115779786210435, 6.098385739321364)), Circle{Float64}(0.00291, Placement{Float64}(0.5627407850772963, -1.00581378991335, 6.190785523250475))])), LineCableModels.DataModel.PlacedRegion{Region{Offset{Float64}, Material{Float64, :insulator}}, Annulus{Float64}}(Region{Offset{Float64}, Material{Float64, :insulator}}(:armor_jacket, Offset{Float64}(0.01), Material{Float64, :insulator}(1.0e15, 2.8, 1.1263, 20.0, 0.0, 0.0, 90.0, 0.0, 0.0)), Annulus{Float64}(0.06591957280661452, 0.07591957280661452, Placement{Float64}(0.5, -1.0, 0.0)))], [(cable = 1, terminal = 1, connection = 1, regions = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10  …  118, 119, 120, 121, 122, 123, 124, 125, 126, 127]), (cable = 1, terminal = 2, connection = 2, regions = [132]), (cable = 1, terminal = 3, connection = 2, regions = [135, 136, 137, 138, 139, 140, 141, 142, 143, 144  …  193, 194, 195, 196, 197, 198, 199, 200, 201, 202]), (cable = 2, terminal = 1, connection = 3, regions = [205, 206, 207, 208, 209, 210, 211, 212, 213, 214  …  322, 323, 324, 325, 326, 327, 328, 329, 330, 331]), (cable = 2, terminal = 2, connection = 4, regions = [336]), (cable = 2, terminal = 3, connection = 4, regions = [339, 340, 341, 342, 343, 344, 345, 346, 347, 348  …  397, 398, 399, 400, 401, 402, 403, 404, 405, 406])]), EarthModel{Float64, 2}((EarthLayer{Float64}(Inf, 1.0, 1.0, Inf), EarthLayer{Float64}(1000.0, 10.0, 1.0, Inf))), 70.0, [0.1, 0.12022644346174127, 0.14454397707459277, 0.17378008287493754, 0.20892961308540392, 0.251188643150958, 0.3019951720402016, 0.36307805477010135, 0.436515832240166, 0.5248074602497725  …  1.9054607179632483e6, 2.2908676527677746e6, 2.754228703338169e6, 3.3113112148259077e6, 3.9810717055349695e6, 4.786300923226381e6, 5.754399373371567e6, 6.918309709189363e6, 8.317637711026709e6, 1.0e7])

Compute the line parameters and inspect the row labels:

bundled_result = compute(bundled_problem, CoaxialFormulation())
bundled_result.terminals

4-element Vector{String}:
 "cable:1:core"
 "cable:1:sheath+cable:1:armor"
 "cable:2:core"
 "cable:2:sheath+cable:2:armor"

Series resistance matrix of the bonded system:

round.(real(bundled_result.Z[:, :, k]) .* 1e3; digits = 4) # [Ω/km]

4×4 Matrix{Float64}:
 0.0814  0.0537  0.0518  0.0518
 0.0537  0.1361  0.0518  0.0518
 0.0518  0.0518  0.0814  0.0537
 0.0518  0.0518  0.0537  0.1361

Internal and earth-return matrices

The computation of the LCMBackend accepts the option trace. With trace = true, the result retains the four matrices from which Z and Y are assembled at each frequency:

• Zin, the series impedance in Ω/m inside each cable, from its conductors to its outer surface, per conductor.
• Pin, the matrix of potential coefficients in m/F inside each cable, per conductor.
• Zg, the earth-return impedance in Ω/m from the outer surfaces of the cables, per cable.
• Pg, the matrix of earth-return potential coefficients in m/F, per cable.

Compute the line parameters with the trace and inspect the size of each matrix:

traced = compute(problem, CoaxialFormulation(); trace = true)
map(size, traced.trace)

(Zin = (6, 6, 101), Pin = (6, 6, 101), Zg = (2, 2, 101), Pg = (2, 2, 101))

Earth-return impedance of the two cables:

traced.trace.Zg[:, :, k] # [Ω/m]

2×2 Matrix{ComplexF64}:
 5.18385e-5+0.000695214im  5.18385e-5+0.000525192im
 5.18385e-5+0.000525192im  5.18385e-5+0.000695214im

The entry of Zg for a pair of cables is added to every pair of their conductors. In the absence of a reduction, Z is then the sum of Zin and this expansion of Zg. The largest absolute difference between the two, in Ω/m, is computed below.

Expand Zg to the conductors and compare the sum with Z:

expanded = [traced.trace.Zg[cld(i, 3), cld(j, 3), k] for i in 1:6, j in 1:6] # [Ω/m]
maximum(abs, traced.trace.Zin[:, :, k] + expanded - traced.Z[:, :, k]) # [Ω/m]

0.0

Size of the impedance array and number of frequencies:

size(result.Z), length(result.frequencies)

((6, 6, 101), 101)

Conclusion

This example has demonstrated how to:

1. Declare an armor of round wires over a bedding.
2. Examine the lay parameters and the equivalent tubular conductor of the armor.
3. Compute the line parameters of a bipole with core, sheath and armor in each cable.
4. Bond the sheath and the armor of each cable into one conductor.
5. Retrieve the internal and earth-return matrices of the computation and verify that they add up to the series impedance.