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Calculation Report
Title Sample Calculation FlyerProject Cableizer Flyer 2019Description Sample calculation to show various kind of cable types in different possible
arrangements, with different frequencies, number of phases, backfills, in ducts plusa heat source and sink.
Created 2019-08-15 12:20
ArrangementArrangement type Buried cables
Activated options None
Active systems A, B, C, D, E, F, G, H, I
Statistics
Number of iterations of the solver Ncalc 37
Sum of currents from all systems Isum A 2555.9
Sum of average conductor temperatures from all systems θsum °C 401.5
Number of overheated electrical systems NΔθsum - 0
Sum of losses from all systems Wsum W/m 177.2
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 2
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Systems
Following systems are active in the arrangement:
System Object Current Ic max Temp. θc Losses Wsys
System A N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV 500.0 A 62.8 °C 57.2 W/m
System B N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV 450.0 A 56.2 °C 22.6 W/m
System C N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV 800.0 A 66.6 °C 43.4 W/m
System D N2XS2Y 240Cu/25RCu mm2 20/12kV 240.0 A 50.3 °C 15.6 W/m
System E 33kV, XKDT-FT 3x150 mm2 RM35 200.0 A 64.1 °C 19.0 W/m
System F SOLARpower Alu-ATA 1x240/31 2 x 182.9(365.8)
60.0 °C 19.4 W/m
System G FO Rampion 0.1 A 47.6 °C 0.0 W/m
System H Heat sink 15.2 °C -40.0 W/m
System I Heat source 36.4 °C 40.0 W/m
Objects
Following objects are used:
- 33kV, XKDT-FT 3x150 mm2 RM35- N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV- SOLARpower Alu-ATA 1x240/31- FO Rampion- N2XS2Y 240Cu/25RCu mm2 20/12kV
AmbientAmbient temperature θa °C 15.0
Thermal resistivity of soil ρ4 K.m/W 1.0
BackfillCalculation method acc. IEC 60287-2-1 ed2.0
Backfill Area 1
Thermal resistivity backfill ρb K.m/W 0.8
Horizontal center of backfill xb mm -500.0
Vertical center of backfill Lb mm 1000.0
Height of the backfill hb mm 400.0
Width of the backfill wb mm 600.0
Geometric factor for backfill Gb 2.0478
Equivalent radius of backfill rb mm 253.82
Backfill Area 2
Thermal resistivity backfill ρb K.m/W 0.8
Horizontal center of backfill xb mm 1000.0
Vertical center of backfill Lb mm 1230.0
Diameter of the backfill db mm 450.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 3
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Geometric factor for backfill Gb 2.3833
Equivalent radius of backfill rb mm 225.0
Approximate temperature field
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 4
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System A (High voltage cable)
AmpacityName of cable N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV
Permissible current rating Ic A 500.0
Operating voltage Uo kV 110.0
System frequency f Hz 50.0
Number of sources in system Nc 3
Number of conductors combined ncc 1
LoadContinuous load LF p.u. 1.0
TemperaturesTemperature of conductor θc °C 1: 62.8 | 2: 53.3 | 3: 57.6
Temperature of screen/sheath θs °C 1: 58.2 | 2: 48.9 | 3: 53.1
External temperature of the object θe °C 1: 56.9 | 2: 48.1 | 3: 52.0
Duct
Mean temperature of the medium in the duct θdm °C 1: 56.4 | 2: 47.7 | 3: 51.5
Temperature of duct inner wall θdi °C 1: 55.8 | 2: 47.4 | 3: 51.1
Temperature of duct outer wall θde °C 1: 54.9 | 2: 46.8 | 3: 50.3
Temperature rises
Temperature rise of conductor Δθc K 1: 37.4 | 2: 27.8 | 3: 33.3
Temperature rise by dielectric losses Δθd K 1: 0.4 | 2: 0.4 | 3: 0.4
Temperature rise by other buried objects Δθp K 1: 10.4 | 2: 10.6 | 3: 9.3
Critical soil temperature rise Δθx K 0.0
LossesOhmic
Conductor losses Wc W/m 1: 8.924 | 2: 8.678 | 3: 8.789
Screen and sheath losses Ws W/m 1: 13.966 | 2: 5.693 | 3: 10.438
Ohmic losses per phase WI W/m 1: 22.890 | 2: 14.372 | 3: 19.228
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 5
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Dielectric
Dielectric losses Wd W/m 1: 0.235 | 2: 0.235 | 3: 0.235
Total
Total losses per phase Wt W/m 1: 23.125 | 2: 14.606 | 3: 19.462
Total losses per object Wtot W/m 1: 23.125 | 2: 14.606 | 3: 19.462
Total losses of the system Wsys W/m 57.193
ArrangementMaterial of duct pipe Md Plastic duct made of PE (Polyethylene)
Inside / outside diameter of duct Did/Dod mm 140.0 / 150.0
Equivalent diameter of a group of cables Deq mm 85.0
Thermal resistivity of duct material ρd K.m/W 3.500
Thermal resistivity of bentonite filling ρdfillK.m/W 0.700
Specific heat capacity of duct material σd J/K.m³ 2400000.0
Absorption coefficient of solar radiation σsun 0.4
Center position of duct 1 x1 / y1 mm 920.0 / 1150.0
Center position of duct 2 x2 / y2 mm 920.0 / 1310.0
Center position of duct 3 x3 / y3 mm 1080.0 / 1310.0
Separation of conductors in a system sc mm 160.00
Separation of cables sc2 mm 179.6
Depth of laying of sources Lc mm 1: 1150.0 | 2: 1310.0 | 3: 1310.0
Substitution coefficient u u 1: 15.333 | 2: 17.467 | 3: 17.467
Thermal ResistancesThermal resistance to ambient T4μ K.m/W 1: 1.275 | 2: 1.454 | 3: 1.336
Thermal resistance of medium in the duct T4i K.m/W 0.048
Thermal resistance of the duct wall T4ii K.m/W 0.038
Correction of thermal resistance for backfill T4db K.m/W 1: 0.188 | 2: 0.297 | 3: 0.223
Number of loaded objects in backfill Nb 1: 2.47 | 2: 3.92 | 3: 2.94
Mutual heating coefficient Feq 1: 167.507 | 2: 252.235 | 3: 178.734
Other characteristicsEarthing
Earthing of cable screen/sheath Both sides
Variation of spacing No variation
Loss Factors
Loss factor of screen and sheath λ1 1: 1.565 | 2: 0.656 | 3: 1.188
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 6
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Loss factor by circulating currents λ1c 1: 1.565 | 2: 0.656 | 3: 1.188
Loss factor for solid bonding λ1cb 1: 1.565 | 2: 0.656 | 3: 1.188
Parameter ξ for calculation of loss factor ξcb 1: 0.187 | 2: 0.025 | 3: 0.029
Loss factor for single point bonding λ1es 1: 0.021 | 2: 0.022 | 3: 0.022
Loss factor of armour λ2 0.000
Conductor resistance
AC resistance of conductor at operating temperature Rc Ω/km 1: 3.570e-02 | 2: 3.471e-02 | 3: 3.516e-02
DC resistance of conductor at operating temperature RcDC Ω/km 1: 3.306e-02 | 2: 3.201e-02 | 3: 3.248e-02
Skin effect factor of conductor ys 1: 0.0710 | 2: 0.0754 | 3: 0.0734
Factor for skin effect on conductor xs 1: 1.9496 | 2: 1.9815 | 3: 1.9669
Proximity effect factor of conductors yp 1: 0.0087 | 2: 0.0091 | 3: 0.0090
Factor for proximity effect of conductors xp 1: 1.9496 | 2: 1.9815 | 3: 1.9669
Electrical parametersApparent power at injecting point SG kW 95263
Resistances
Electrical resistance of screen Rsc Ω/km 1: 0.4032 | 2: 0.3903 | 3: 0.3961
Electrical resistance of sheath Rsh Ω/km 1: 0.5423 | 2: 0.5246 | 3: 0.5326
Electrical resistance of screen||sheath Rs Ω/km 1: 0.2312 | 2: 0.2238 | 3: 0.2271
Electrical stress
Electrical stress on inner/outer side of insulation Estress kV 5.172 / 2.440
Radius to point x in insulation rx mm 16.35 / 34.65
Line-to-ground voltage Ue kV 63.51
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 7
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Capacitance
Capacitive load current IC A/km 3.69
Charging capacity CC kvar/km 703.92
Capacitive earth short-circuit current ICe A/km 11.08
Inductances
Inductance of phase 1 L1 mH/km (0.5933-0.1201j)
Inductance of phase 2 L2 mH/km 0.524
Inductance of phase 3 L3 mH/km (0.5933+0.1201j)
Mean inductance of the phases Lm mH/km 0.5702
Vacuum permeability μ0 H/m 1.25664e-06
Distance between phases a12,23,3
1
mm 160.000 / 160.000 / 226.274
Geometric mean radius GMR mm 11.649
Geometric mean radius factor KGMR 0.774
Number of wires in conductor ncw 91
Reactances
Reactance of conductor Xc Ω/km 0.1791
Reactance of screen/sheath Xs Ω/km 0.0898
Mutual reactance Xm Ω/km 0.0436
Reduction factor RF 1: 0.9321 | 2: 0.9280 | 3: 0.9299
Impedances and Admittance
Positive sequence impedance Zpos Ω/km (0.0357+0.1791j)
Negative sequence impedance Zneg Ω/km (0.0357+0.1791j)
Admittance Y S/km (1.0701-5.3696j)
Surge Impedance SI Ω 55.49
Surge velocity of propagation cSI km/s 189605.4
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 8
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Conductance and Susceptance
Conductance G S/km 1.0701
Susceptance B S/km -5.3696
Voltage drop Vdrop V/A/km 1: 0.1909 | 2: 0.1893 | 3: 0.1900
Short circuit currentsDuration of short-circuit tk s 0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Conductor
Permissible short-circuit current Ik kA 315.22 | 223.20 | 182.44 | 141.55 | 100.40 | 71.30 | 58.40 | 45.47
Short-circuit current (adiabatic) IkAD kA 314.17 | 222.15 | 181.39 | 140.50 | 99.35 | 70.25 | 57.36 | 44.43
Initial temperature θki °C 63.0
Final temperature θkf °C 250.0
Specific short-circuit parameter Kk A.s½/mm² 225.6
Reciprocal of temperature coefficient of resistance βk K 234
Specific heat capacity of metallic component σkc J/K.m³ 3.45e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.7241e-08
Heat loss allowance factor εk 1.023
Cross-sectional area of current carrying component Sk mm² 630.00
Imperfect contact thermal factor Fk 0.9
Thermal property constant A Ak (mm²/s)½ 0.5914
Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 2.9283e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 3.5
Specific heat capacity of adjacent material σki J/K.m³ 2.40e+06
Screen
Permissible short-circuit current Ik kA 23.26 | 16.79 | 13.92 | 11.03 | 8.12 | 6.04 | 5.12 | 4.18
Short-circuit current (adiabatic) IkAD kA 22.06 | 15.60 | 12.74 | 9.87 | 6.98 | 4.93 | 4.03 | 3.12
Initial temperature θki °C 58.0
Final temperature θkf °C 200.0
Specific short-circuit parameter Kk A.s½/mm² 225.6
Reciprocal of temperature coefficient of resistance βk K 234
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 9
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Specific heat capacity of metallic component σkc J/K.m³ 3.45e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.7241e-08
Heat loss allowance factor εk 1.339
Cross-sectional area of current carrying component Sk mm² 0.665 x 74
Imperfect contact thermal factor Fk 0.7
Thermal property constant A Ak (mm²/s)½ 0.4123
Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 2.0416e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 6.0
Specific heat capacity of adjacent material σki J/K.m³ 2.00e+06
Sheath
Permissible short-circuit current Ik kA 17.80 | 13.40 | 11.44 | 9.45 | 7.43 | 5.96 | 5.28 | 4.57
Short-circuit current (adiabatic) IkAD kA 14.86 | 10.51 | 8.58 | 6.64 | 4.70 | 3.32 | 2.71 | 2.10
Initial temperature θki °C 58.0
Final temperature θkf °C 150.0
Specific short-circuit parameter Kk A.s½/mm² 148.1
Reciprocal of temperature coefficient of resistance βk K 228
Specific heat capacity of metallic component σkc J/K.m³ 2.50e+06
Electrical resistivity of metallic component ρk20 Ω.m 2.8264e-08
Heat loss allowance factor εk 2.174
Cross-sectional area of current carrying component Sk mm² 60.154
Imperfect contact thermal factor Fk 0.9
Thermal contact factor Mk s½ 1.012
Thickness of screen, sheath or armour δk mm 0.25
Thermal resistivity of the layer located above ρk2 K.m/W 6.0
Thermal resistivity of the layer located below ρk3 K.m/W 3.5
Specific heat capacity of layer located below σk2 J/K.m³ 2.00e+06
Specific heat capacity of layer located above σk3 J/K.m³ 2.40e+06
System B (High voltage cable)
AmpacityName of cable N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV
Permissible current rating Ic A 450.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 10
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Operating voltage Uo kV 110.0
System frequency f Hz 50.0
Number of sources in system Nc 3
Number of conductors combined ncc 1
LoadContinuous load LF p.u. 1.0
TemperaturesTemperature of conductor θc °C 1: 56.2 | 2: 54.4 | 3: 54.8
Temperature of screen/sheath θs °C 1: 52.6 | 2: 50.8 | 3: 51.2
External temperature of the object θe °C 1: 52.1 | 2: 50.4 | 3: 50.8
Temperature rises
Temperature rise of conductor Δθc K 1: 17.5 | 2: 16.4 | 3: 16.4
Temperature rise by dielectric losses Δθd K 1: 0.5 | 2: 0.5 | 3: 0.5
Temperature rise by other buried objects Δθp K 1: 23.7 | 2: 23.0 | 3: 23.4
Critical soil temperature rise Δθx K 0.0
LossesOhmic
Conductor losses Wc W/m 1: 7.114 | 2: 7.076 | 3: 7.085
Screen and sheath losses Ws W/m 1: 0.422 | 2: 0.099 | 3: 0.116
Ohmic losses per phase WI W/m 1: 7.536 | 2: 7.175 | 3: 7.201
Dielectric
Dielectric losses Wd W/m 1: 0.235 | 2: 0.235 | 3: 0.235
Total
Total losses per phase Wt W/m 1: 7.771 | 2: 7.410 | 3: 7.436
Total losses per object Wtot W/m 1: 7.771 | 2: 7.410 | 3: 7.436
Total losses of the system Wsys W/m 22.616
ArrangementCenter position of cable 1 x1 / y1 mm -500.0 / 1100.0
Center position of cable 2 x2 / y2 mm -635.1 / 1100.0
Center position of cable 3 x3 / y3 mm -364.9 / 1100.0
Separation of conductors in a system sc mm 135.10
Separation of cables sc2 mm 170.2
Depth of laying of sources Lc mm 1100.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 11
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Substitution coefficient u u 25.870
Thermal ResistancesThermal resistance to ambient T4μ K.m/W 1: 1.725 | 2: 1.663 | 3: 1.661
Correction of thermal resistance for backfill T4db K.m/W 1: 0.512 | 2: 0.537 | 3: 0.535
Number of loaded objects in backfill Nb 1: 7.85 | 2: 8.23 | 3: 8.20
Mutual heating coefficient Feq 1: 266.176 | 2: 133.836 | 3: 133.836
Other characteristicsEarthing
Earthing of cable screen/sheath Single side
Substitution coefficient λ0 for eddy-currents λ0 1: 0.00908 | 2: 0.0023 | 3: 0.00229
Substitution coefficient Δ1 for eddy-currents Δ1 1: 0.000633 | 2: -0.0694 | 3: 0.0924
Substitution coefficient Δ2 for eddy-currents Δ2 1: 0 | 2: 4.14e-05 | 3: 4.05e-05
Substitution coefficient m0 for eddy-currents m0 Hz.m/Ω 1: 0.1386 | 2: 0.1394 | 3: 0.1392
Substitution coefficient β1 for eddy-currents β1 118.1852
Substitution coefficient gs for eddy-currents gs 1.0106
Loss Factors
Loss factor of screen and sheath λ1 1: 0.059 | 2: 0.014 | 3: 0.016
Loss factor by circulating currents λ1c 0.000
Loss factor by eddy currents λ1e 1: 0.059 | 2: 0.014 | 3: 0.016
Loss factor for single point bonding λ1es 1: 0.059 | 2: 0.014 | 3: 0.016
Loss factor of armour λ2 0.000
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 12
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Conductor resistance
AC resistance of conductor at operating temperature Rc Ω/km 1: 3.513e-02 | 2: 3.494e-02 | 3: 3.499e-02
DC resistance of conductor at operating temperature RcDC Ω/km 1: 3.233e-02 | 2: 3.213e-02 | 3: 3.218e-02
Skin effect factor of conductor ys 1: 0.0740 | 2: 0.0749 | 3: 0.0747
Factor for skin effect on conductor xs 1: 1.9715 | 2: 1.9777 | 3: 1.9762
Proximity effect factor of conductors yp 1: 0.0127 | 2: 0.0128 | 3: 0.0128
Factor for proximity effect of conductors xp 1: 1.9715 | 2: 1.9777 | 3: 1.9762
Electrical parametersApparent power at injecting point SG kW 85737
Resistances
Electrical resistance of screen Rsc Ω/km 1: 0.3954 | 2: 0.3929 | 3: 0.3935
Electrical resistance of sheath Rsh Ω/km 1: 0.5316 | 2: 0.5282 | 3: 0.5290
Electrical resistance of screen||sheath Rs Ω/km 1: 0.2267 | 2: 0.2253 | 3: 0.2256
Electrical stress
Electrical stress on inner/outer side of insulation Estress kV 5.172 / 2.440
Radius to point x in insulation rx mm 16.35 / 34.65
Line-to-ground voltage Ue kV 63.51
Capacitance
Capacitive load current IC A/km 3.69
Charging capacity CC kvar/km 703.92
Capacitive earth short-circuit current ICe A/km 11.08
Inductances
Inductance of phase 1 L1 mH/km (0.4902+0j)
Inductance of phase 2 L2 mH/km (0.5595+0.2401j)
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 13
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Inductance of phase 3 L3 mH/km (0.5595-0.2401j)
Mean inductance of the phases Lm mH/km 0.5353
Vacuum permeability μ0 H/m 1.25664e-06
Distance between phases a12,23,3
1
mm 135.100 / 270.200 / 135.100
Geometric mean radius GMR mm 11.649
Geometric mean radius factor KGMR 0.774
Number of wires in conductor ncw 91
Reactances
Reactance of conductor Xc Ω/km 0.1682
Reactance of screen/sheath Xs Ω/km 0.0792
Mutual reactance Xm Ω/km 0.0436
Reduction factor RF 1: 0.9440 | 2: 0.9434 | 3: 0.9435
Impedances and Admittance
Positive sequence impedance Zpos Ω/km (0.0351+0.1682j)
Negative sequence impedance Zneg Ω/km (0.0351+0.1682j)
Admittance Y S/km (1.1901-5.6973j)
Surge Impedance SI Ω 53.77
Surge velocity of propagation cSI km/s 189605.4
Conductance and Susceptance
Conductance G S/km 1.1901
Susceptance B S/km -5.6973
Voltage drop Vdrop V/A/km 1: 0.1817 | 2: 0.1814 | 3: 0.1815
Short circuit currentsDuration of short-circuit tk s 0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Conductor
Permissible short-circuit current Ik kA 322.36 | 228.26 | 186.57 | 144.76 | 102.67 | 72.91 | 59.73 | 46.50
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 14
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Short-circuit current (adiabatic) IkAD kA 321.28 | 227.18 | 185.49 | 143.68 | 101.60 | 71.84 | 58.66 | 45.44
Initial temperature θki °C 56.0
Final temperature θkf °C 250.0
Specific short-circuit parameter Kk A.s½/mm² 225.6
Reciprocal of temperature coefficient of resistance βk K 234
Specific heat capacity of metallic component σkc J/K.m³ 3.45e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.7241e-08
Heat loss allowance factor εk 1.023
Cross-sectional area of current carrying component Sk mm² 630.00
Imperfect contact thermal factor Fk 0.9
Thermal property constant A Ak (mm²/s)½ 0.5914
Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 2.9283e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 3.5
Specific heat capacity of adjacent material σki J/K.m³ 2.40e+06
Screen
Permissible short-circuit current Ik kA 23.83 | 17.20 | 14.26 | 11.30 | 8.32 | 6.19 | 5.24 | 4.28
Short-circuit current (adiabatic) IkAD kA 22.60 | 15.98 | 13.05 | 10.11 | 7.15 | 5.05 | 4.13 | 3.20
Initial temperature θki °C 53.0
Final temperature θkf °C 200.0
Specific short-circuit parameter Kk A.s½/mm² 225.6
Reciprocal of temperature coefficient of resistance βk K 234
Specific heat capacity of metallic component σkc J/K.m³ 3.45e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.7241e-08
Heat loss allowance factor εk 1.339
Cross-sectional area of current carrying component Sk mm² 0.665 x 74
Imperfect contact thermal factor Fk 0.7
Thermal property constant A Ak (mm²/s)½ 0.4123
Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 2.0416e-04
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 15
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Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 6.0
Specific heat capacity of adjacent material σki J/K.m³ 2.00e+06
Sheath
Permissible short-circuit current Ik kA 18.43 | 13.87 | 11.84 | 9.79 | 7.69 | 6.17 | 5.46 | 4.73
Short-circuit current (adiabatic) IkAD kA 15.38 | 10.88 | 8.88 | 6.88 | 4.86 | 3.44 | 2.81 | 2.18
Initial temperature θki °C 53.0
Final temperature θkf °C 150.0
Specific short-circuit parameter Kk A.s½/mm² 148.1
Reciprocal of temperature coefficient of resistance βk K 228
Specific heat capacity of metallic component σkc J/K.m³ 2.50e+06
Electrical resistivity of metallic component ρk20 Ω.m 2.8264e-08
Heat loss allowance factor εk 2.174
Cross-sectional area of current carrying component Sk mm² 60.154
Imperfect contact thermal factor Fk 0.9
Thermal contact factor Mk s½ 1.012
Thickness of screen, sheath or armour δk mm 0.25
Thermal resistivity of the layer located above ρk2 K.m/W 6.0
Thermal resistivity of the layer located below ρk3 K.m/W 3.5
Specific heat capacity of layer located below σk2 J/K.m³ 2.00e+06
Specific heat capacity of layer located above σk3 J/K.m³ 2.40e+06
System C (High voltage cable)
AmpacityName of cable N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV
Permissible current rating Ic A 800.0
Operating voltage Uo kV 110.0
System frequency f Hz 16.7
Number of sources in system Nc 2
Number of conductors combined ncc 1
LoadContinuous load LF p.u. 1.0
TemperaturesTemperature of conductor θc °C 1: 66.6 | 2: 66.3
Temperature of screen/sheath θs °C 1: 55.6 | 2: 55.3
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External temperature of the object θe °C 1: 54.4 | 2: 54.1
Duct
Mean temperature of the medium in the duct θdm °C 1: 53.9 | 2: 53.6
Temperature of duct inner wall θdi °C 1: 53.4 | 2: 53.1
Temperature of duct outer wall θde °C 1: 51.9 | 2: 51.6
Temperature rises
Temperature rise of conductor Δθc K 1: 38.2 | 2: 37.7
Temperature rise by dielectric losses Δθd K 1: 0.1 | 2: 0.1
Temperature rise by other buried objects Δθp K 1: 13.4 | 2: 13.5
Critical soil temperature rise Δθx K 0.0
LossesOhmic
Conductor losses Wc W/m 1: 21.612 | 2: 21.590
Screen and sheath losses Ws W/m 1: 0.035 | 2: 0.035
Ohmic losses per phase WI W/m 1: 21.646 | 2: 21.625
Dielectric
Dielectric losses Wd W/m 1: 0.059 | 2: 0.059
Total
Total losses per phase Wt W/m 1: 21.705 | 2: 21.684
Total losses per object Wtot W/m 1: 21.705 | 2: 21.684
Total losses of the system Wsys W/m 43.389
ArrangementMaterial of duct pipe Md Plastic duct made of PVC (Polyvinylchlorid)
Inside / outside diameter of duct Did/Dod mm 140.0 / 150.0
Equivalent diameter of a group of cables Deq mm 85.0
Thermal resistivity of duct material ρd K.m/W 6.000
Thermal resistivity of bentonite filling ρdfillK.m/W 0.700
Specific heat capacity of duct material σd J/K.m³ 1700000.0
Absorption coefficient of solar radiation σsun 0.6
Center position of duct 1 x1 / y1 mm -1200.0 / 1900.0
Center position of duct 2 x2 / y2 mm -1200.0 / 1700.0
Separation of conductors in a system sc mm 200.00
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Depth of laying of sources Lc mm 1: 1900.0 | 2: 1700.0
Substitution coefficient u u 1: 25.333 | 2: 22.667
Thermal ResistancesThermal resistance to ambient T4μ K.m/W 1: 1.085 | 2: 1.067
Thermal resistance of medium in the duct T4i K.m/W 0.048
Thermal resistance of the duct wall T4ii K.m/W 0.066
Mutual heating coefficient Feq 18.000
Other characteristicsEarthing
Earthing of cable screen/sheath Single side
Loss Factors
Loss factor of screen and sheath λ1 1: 0.002 | 2: 0.002
Loss factor by circulating currents λ1c 0.000
Loss factor by eddy currents λ1e 1: 0.002 | 2: 0.002
Loss factor for single point bonding λ1es 1: 0.002 | 2: 0.002
Loss factor of armour λ2 0.000
Conductor resistance
AC resistance of conductor at operating temperature Rc Ω/km 1: 3.377e-02 | 2: 3.373e-02
DC resistance of conductor at operating temperature RcDC Ω/km 1: 3.348e-02 | 2: 3.344e-02
Skin effect factor of conductor ys 1: 0.0081 | 2: 0.0081
Factor for skin effect on conductor xs 1: 1.1197 | 2: 1.1203
Proximity effect factor of conductors yp 1: 0.0005 | 2: 0.0005
Factor for proximity effect of conductors xp 1: 1.1197 | 2: 1.1203
Electrical parametersApparent power at injecting point SG kW 88000
Resistances
Electrical resistance of screen Rsc Ω/km 1: 0.3996 | 2: 0.3992
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Electrical resistance of sheath Rsh Ω/km 1: 0.5373 | 2: 0.5368
Electrical resistance of screen||sheath Rs Ω/km 1: 0.2292 | 2: 0.2289
Electrical stress
Electrical stress on inner/outer side of insulation Estress kV 4.479 / 2.113
Radius to point x in insulation rx mm 16.35 / 34.65
Line-to-ground voltage Ue kV 55.00
Capacitance
Capacitive load current IC A/km 1.07
Charging capacity CC kvar/km 117.55
Capacitive earth short-circuit current ICe A/km 2.14
Inductances
Mean inductance of the phases Lm mH/km 0.5686
Vacuum permeability μ0 H/m 1.25664e-06
Mean distance between the phases am mm 200.000
Geometric mean radius GMR mm 11.649
Geometric mean radius factor KGMR 0.774
Number of wires in conductor ncw 91
Reactances
Reactance of conductor Xc Ω/km 0.05967
Reactance of screen/sheath Xs Ω/km 0.0347
Mutual reactance Xm Ω/km 0.0145
Reduction factor RF 1: 0.9887 | 2: 0.9887
Impedances and Admittance
Positive sequence impedance Zpos Ω/km (0.0338+0.0597j)
Negative sequence impedance Zneg Ω/km (0.0338+0.0597j)
Admittance Y S/km (7.1843-12.6941j)
Surge Impedance SI Ω 55.41
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Surge velocity of propagation cSI km/s 189605.4
Conductance and Susceptance
Conductance G S/km 7.1843
Susceptance B S/km -12.6941
Voltage drop Vdrop V/A/km 1: 0.1128 | 2: 0.1127
Short circuit currentsDuration of short-circuit tk s 0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Conductor
Permissible short-circuit current Ik kA 311.15 | 220.32 | 180.08 | 139.72 | 99.10 | 70.38 | 57.65 | 44.88
Short-circuit current (adiabatic) IkAD kA 310.11 | 219.28 | 179.04 | 138.69 | 98.07 | 69.34 | 56.62 | 43.86
Initial temperature θki °C 67.0
Final temperature θkf °C 250.0
Specific short-circuit parameter Kk A.s½/mm² 225.6
Reciprocal of temperature coefficient of resistance βk K 234
Specific heat capacity of metallic component σkc J/K.m³ 3.45e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.7241e-08
Heat loss allowance factor εk 1.023
Cross-sectional area of current carrying component Sk mm² 630.00
Imperfect contact thermal factor Fk 0.9
Thermal property constant A Ak (mm²/s)½ 0.5914
Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 2.9283e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 3.5
Specific heat capacity of adjacent material σki J/K.m³ 2.40e+06
Screen
Permissible short-circuit current Ik kA 23.52 | 16.98 | 14.07 | 11.16 | 8.21 | 6.11 | 5.17 | 4.22
Short-circuit current (adiabatic) IkAD kA 22.31 | 15.77 | 12.88 | 9.98 | 7.05 | 4.99 | 4.07 | 3.15
Initial temperature θki °C 56.0
Final temperature θkf °C 200.0
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Specific short-circuit parameter Kk A.s½/mm² 225.6
Reciprocal of temperature coefficient of resistance βk K 234
Specific heat capacity of metallic component σkc J/K.m³ 3.45e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.7241e-08
Heat loss allowance factor εk 1.339
Cross-sectional area of current carrying component Sk mm² 0.665 x 74
Imperfect contact thermal factor Fk 0.7
Thermal property constant A Ak (mm²/s)½ 0.4123
Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 2.0416e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 6.0
Specific heat capacity of adjacent material σki J/K.m³ 2.00e+06
Sheath
Permissible short-circuit current Ik kA 18.09 | 13.62 | 11.62 | 9.61 | 7.55 | 6.05 | 5.36 | 4.64
Short-circuit current (adiabatic) IkAD kA 15.10 | 10.68 | 8.72 | 6.75 | 4.78 | 3.38 | 2.76 | 2.14
Initial temperature θki °C 56.0
Final temperature θkf °C 150.0
Specific short-circuit parameter Kk A.s½/mm² 148.1
Reciprocal of temperature coefficient of resistance βk K 228
Specific heat capacity of metallic component σkc J/K.m³ 2.50e+06
Electrical resistivity of metallic component ρk20 Ω.m 2.8264e-08
Heat loss allowance factor εk 2.174
Cross-sectional area of current carrying component Sk mm² 60.154
Imperfect contact thermal factor Fk 0.9
Thermal contact factor Mk s½ 1.012
Thickness of screen, sheath or armour δk mm 0.25
Thermal resistivity of the layer located above ρk2 K.m/W 6.0
Thermal resistivity of the layer located below ρk3 K.m/W 3.5
Specific heat capacity of layer located below σk2 J/K.m³ 2.00e+06
Specific heat capacity of layer located above σk3 J/K.m³ 2.40e+06
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System D (Medium voltage cable)
AmpacityName of cable N2XS2Y 240Cu/25RCu mm2 20/12kV
Permissible current rating Ic A 240.0
Operating voltage Uo kV 20.0
System frequency f Hz 50.0
Number of sources in system Nc 3
Number of conductors combined ncc 3
LoadContinuous load LF p.u. 1.0
TemperaturesTemperature of conductor θc °C 50.3
Temperature of screen/sheath θs °C 48.7
External temperature of the object θe °C 48.3
Duct
Mean temperature of the medium in the duct θdm °C 45.5
Temperature of duct inner wall θdi °C 42.7
Temperature of duct outer wall θde °C 42.0
Temperature rises
Temperature rise of conductor Δθc K 16.3
Temperature rise by dielectric losses Δθd K 0.2
Temperature rise by other buried objects Δθp K 19.0
Critical soil temperature rise Δθx K 0.0
LossesOhmic
Conductor losses Wc W/m 4.968
Screen and sheath losses Ws W/m 0.191
Ohmic losses per phase WI W/m 5.159
Dielectric
Dielectric losses Wd W/m 0.055
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Total
Total losses per phase Wt W/m 5.213
Total losses per object Wtot W/m 5.213
Total losses of the system Wsys W/m 15.640
ArrangementMaterial of duct pipe Md Plastic duct made of PE (Polyethylene)
Inside / outside diameter of duct Did/Dod mm 120.0 / 130.0
Thermal resistivity of duct material ρd K.m/W 3.500
Specific heat capacity of duct material σd J/K.m³ 2400000.0
Absorption coefficient of solar radiation σsun 0.4
Center position of duct 1 x1 / y1 mm 500.0 / 800.0
Separation of conductors in a system sc mm 40.44
Depth of laying of sources Lc mm 800.0
Substitution coefficient u u 12.308
Thermal ResistancesThermal resistance to ambient T4μ K.m/W 0.510
Thermal resistance of medium in the duct T4i K.m/W 0.361
Thermal resistance of the duct wall T4ii K.m/W 0.045
Mutual heating coefficient Feq 1.000
Other characteristicsEarthing
Earthing of cable screen/sheath Both sides
Variation of spacing No variation
Loss Factors
Loss factor of screen and sheath λ1 0.038
Loss factor by circulating currents λ1c 0.038
Loss factor for solid bonding λ1cb 0.038
Loss factor for single point bonding λ1es 0.009
Loss factor of armour λ2 0.000
Conductor resistance
AC resistance of conductor at operating temperature Rc Ω/km 8.624e-02
DC resistance of conductor at operating temperature RcDC Ω/km 8.438e-02
Skin effect factor of conductor ys 0.0114
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Factor for skin effect on conductor xs 1.2204
Proximity effect factor of conductors yp 0.0107
Factor for proximity effect of conductors xp 1.2204
Electrical parametersApparent power at injecting point SG kW 8314
Resistances
Electrical resistance of screen Rsc Ω/km 0.8017
Electrical resistance of screen||sheath Rs Ω/km 0.8017
Electrical stress
Electrical stress on inner/outer side of insulation Estress kV 2.618 / 1.709
Radius to point x in insulation rx mm 10.35 / 15.85
Line-to-ground voltage Ue kV 11.55
Capacitance
Capacitive load current IC A/km 1.18
Charging capacity CC kvar/km 41.01
Capacitive earth short-circuit current ICe A/km 3.55
Inductances
Mean inductance of the phases Lm mH/km 0.3436
Vacuum permeability μ0 H/m 1.25664e-06
Mean distance between the phases am mm 40.440
Geometric mean radius GMR mm 7.258
Geometric mean radius factor KGMR 0.768
Number of wires in conductor ncw 37
Reactances
Reactance of conductor Xc Ω/km 0.1079
Reactance of screen/sheath Xs Ω/km 0.0517
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Reduction factor RF 0.9979
Impedances and Admittance
Positive sequence impedance Zpos Ω/km (0.0862+0.1079j)
Negative sequence impedance Zneg Ω/km (0.0862+0.1079j)
Admittance Y S/km (4.5185-5.6546j)
Surge Impedance SI Ω 32.45
Surge velocity of propagation cSI km/s 189605.4
Conductance and Susceptance
Conductance G S/km 4.5185
Susceptance B S/km -5.6546
Voltage drop Vdrop V/A/km 0.2159
Short circuit currentsDuration of short-circuit tk s 0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Conductor
Permissible short-circuit current Ik kA 125.51 | 88.95 | 72.75 | 56.50 | 40.15 | 28.58 | 23.46 | 18.32
Short-circuit current (adiabatic) IkAD kA 124.84 | 88.27 | 72.08 | 55.83 | 39.48 | 27.91 | 22.79 | 17.65
Initial temperature θki °C 50.0
Final temperature θkf °C 250.0
Specific short-circuit parameter Kk A.s½/mm² 225.6
Reciprocal of temperature coefficient of resistance βk K 234
Specific heat capacity of metallic component σkc J/K.m³ 3.45e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.7241e-08
Heat loss allowance factor εk 1.038
Cross-sectional area of current carrying component Sk mm² 240.00
Imperfect contact thermal factor Fk 0.9
Thermal property constant A Ak (mm²/s)½ 0.5914
Non-adiabatic constant C1 Ck1 mm/m 2464
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Thermal property constant B Bk mm²/s 2.9283e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 3.5
Specific heat capacity of adjacent material σki J/K.m³ 2.40e+06
Screen
Permissible short-circuit current Ik kA 10.05 | 7.27 | 6.04 | 4.81 | 3.56 | 2.66 | 2.26 | 1.86
Short-circuit current (adiabatic) IkAD kA 9.44 | 6.68 | 5.45 | 4.22 | 2.99 | 2.11 | 1.72 | 1.34
Initial temperature θki °C 49.0
Final temperature θkf °C 150.0
Specific short-circuit parameter Kk A.s½/mm² 225.6
Reciprocal of temperature coefficient of resistance βk K 234
Specific heat capacity of metallic component σkc J/K.m³ 3.45e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.7241e-08
Heat loss allowance factor εk 1.391
Cross-sectional area of current carrying component Sk mm² 0.665 x 36
Imperfect contact thermal factor Fk 0.7
Thermal property constant A Ak (mm²/s)½ 0.4861
Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 2.4066e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 4.75
Specific heat capacity of adjacent material σki J/K.m³ 2.20e+06
System E (Medium voltage cable)
AmpacityName of cable 33kV, XKDT-FT 3x150 mm2 RM35
Permissible current rating Ic A 200.0
Operating voltage Uo kV 30.0
System frequency f Hz 50.0
Number of sources in system Nc 1
Number of conductors combined ncc 3
LoadContinuous load LF p.u. 1.0
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TemperaturesTemperature of conductor θc °C 64.1
Temperature of screen/sheath θs °C 57.2
Temperature of armour θar °C 57.2
Temperature of 1st armour layer θar1°C 57.2
Temperature of 2nd armour layer θar2°C 57.2
External temperature of the object θe °C 55.9
Duct
Mean temperature of the medium in the duct θdm °C 52.9
Temperature of duct inner wall θdi °C 49.9
Temperature of duct outer wall θde °C 49.0
Temperature rises
Temperature rise of conductor Δθc K 26.8
Temperature rise by dielectric losses Δθd K 0.3
Temperature rise by other buried objects Δθp K 22.3
Critical soil temperature rise Δθx K 0.0
LossesOhmic
Conductor losses Wc W/m 5.854
Screen and sheath losses Ws W/m 0.131
Armour losses WA W/m 0.267
Ohmic losses per phase WI W/m 6.253
Dielectric
Dielectric losses Wd W/m 0.072
Total
Total losses per phase Wt W/m 6.325
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Total losses per object Wtot W/m 18.975
Total losses of the system Wsys W/m 18.975
ArrangementMaterial of duct pipe Md Plastic duct made of PP (Polypropylene)
Inside / outside diameter of duct Did/Dod mm 140.0 / 150.0
Thermal resistivity of duct material ρd K.m/W 4.500
Specific heat capacity of duct material σd J/K.m³ 1800000.0
Absorption coefficient of solar radiation σsun 0.6
Center position of duct 1 x1 / y1 mm -600.0 / 900.0
Separation of conductors in a system sc mm 40.00
Depth of laying of sources Lc mm 900.0
Substitution coefficient u u 12.000
Thermal ResistancesThermal resistance to ambient T4μ K.m/W 0.614
Thermal resistance of medium in the duct T4i K.m/W 0.316
Thermal resistance of the duct wall T4ii K.m/W 0.049
Correction of thermal resistance for backfill T4db K.m/W 0.210
Number of loaded objects in backfill Nb 3.22
Mutual heating coefficient Feq 1.000
Other characteristicsEarthing
Earthing of cable screen/sheath Both sides, regular transposition
Variation of spacing No variation
Loss Factors
Loss factor of screen and sheath λ1 0.022
Loss factor by circulating currents λ1c 0.022
Loss factor for solid bonding λ1cb 0.022
Loss factor for single point bonding λ1es 0.050
Loss factor of armour λ2 0.046
Conductor resistance
AC resistance of conductor at operating temperature Rc Ω/km 1.464e-01
DC resistance of conductor at operating temperature RcDC Ω/km 1.455e-01
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Skin effect factor of conductor ys 0.0039
Factor for skin effect on conductor xs 0.9293
Proximity effect factor of conductors yp 0.0021
Factor for proximity effect of conductors xp 0.9293
Electrical parametersApparent power at injecting point SG kW 6000
Resistances
Electrical resistance of screen Rsc Ω/km 0.5753
Electrical resistance of screen||sheath Rs Ω/km 0.5753
Electrical resistance of armour RA Ω/km 0.6386
Electrical stress
Electrical stress on inner/outer side of insulation Estress kV 3.141 / 1.521
Radius to point x in insulation rx mm 7.60 / 15.70
Line-to-ground voltage Ue kV 17.32
Capacitance
Capacitive load current IC A/km 1.04
Charging capacity CC kvar/km 54.20
Capacitive earth short-circuit current ICe A/km 3.13
Inductances
Mean inductance of the phases Lm mH/km 0.4014
Vacuum permeability μ0 H/m 1.25664e-06
Mean distance between the phases am mm 40.000
Geometric mean radius GMR mm 5.376
Geometric mean radius factor KGMR 0.768
Number of wires in conductor ncw 37
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Reactances
Reactance of conductor Xc Ω/km 0.1261
Reactance of screen/sheath Xs Ω/km 0.0436
Mutual reactance Xm Ω/km 0.0436
Reduction factor RF 0.9971
Impedances and Admittance
Positive sequence impedance Zpos Ω/km (0.1464+0.1261j)
Negative sequence impedance Zneg Ω/km (0.1464+0.1261j)
Admittance Y S/km (3.9215-3.3786j)
Surge Impedance SI Ω 45.76
Surge velocity of propagation cSI km/s 189605.4
Conductance and Susceptance
Conductance G S/km 3.9215
Susceptance B S/km -3.3786
Voltage drop Vdrop V/A/km 0.3234
Short circuit currentsDuration of short-circuit tk s 0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Conductor
Permissible short-circuit current Ik kA 74.98 | 53.16 | 43.50 | 33.81 | 24.05 | 17.16 | 14.10 | 11.03
Short-circuit current (adiabatic) IkAD kA 74.47 | 52.66 | 42.99 | 33.30 | 23.55 | 16.65 | 13.60 | 10.53
Initial temperature θki °C 64.0
Final temperature θkf °C 250.0
Specific short-circuit parameter Kk A.s½/mm² 225.6
Reciprocal of temperature coefficient of resistance βk K 234
Specific heat capacity of metallic component σkc J/K.m³ 3.45e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.7241e-08
Heat loss allowance factor εk 1.047
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Cross-sectional area of current carrying component Sk mm² 150.00
Imperfect contact thermal factor Fk 0.9
Thermal property constant A Ak (mm²/s)½ 0.5914
Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 2.9283e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 3.5
Specific heat capacity of adjacent material σki J/K.m³ 2.40e+06
Screen
Permissible short-circuit current Ik kA 16.33 | 11.79 | 9.78 | 7.75 | 5.71 | 4.25 | 3.60 | 2.94
Short-circuit current (adiabatic) IkAD kA 15.47 | 10.94 | 8.93 | 6.92 | 4.89 | 3.46 | 2.82 | 2.19
Initial temperature θki °C 57.0
Final temperature θkf °C 200.0
Specific short-circuit parameter Kk A.s½/mm² 225.6
Reciprocal of temperature coefficient of resistance βk K 234
Specific heat capacity of metallic component σkc J/K.m³ 3.45e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.7241e-08
Heat loss allowance factor εk 1.345
Cross-sectional area of current carrying component Sk mm² 0.636 x 54
Imperfect contact thermal factor Fk 0.7
Thermal property constant A Ak (mm²/s)½ 0.4123
Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 2.0416e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 6.0
Specific heat capacity of adjacent material σki J/K.m³ 2.00e+06
Armour
Permissible short-circuit current Ik kA 47.96 | 34.15 | 28.04 | 21.91 | 15.77 | 11.47 | 9.60 | 7.79
Short-circuit current (adiabatic) IkAD kA 47.17 | 33.36 | 27.23 | 21.10 | 14.92 | 10.55 | 8.61 | 6.67
Initial temperature θki °C 57.0
Final temperature θkf °C 200.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 31
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Specific short-circuit parameter Kk A.s½/mm² 78.23
Reciprocal of temperature coefficient of resistance βk K 202
Specific heat capacity of metallic component σkc J/K.m³ 3.80e+06
Electrical resistivity of metallic component ρk20 Ω.m 1.38e-07
Heat loss allowance factor εk 1.168
Cross-sectional area of current carrying component Sk mm² 288.000
Imperfect contact thermal factor Fk 0.0
Thermal contact factor Mk s½ 0.08561
Thickness of screen, sheath or armour δk mm 1.2
Thermal resistivity of the layer located above ρk2 K.m/W 6.0
Thermal resistivity of the layer located below ρk3 K.m/W 5.0
Specific heat capacity of layer located below σk2 J/K.m³ 1.70e+06
Specific heat capacity of layer located above σk3 J/K.m³ 1.70e+06
System F (Low voltage cable)
AmpacityName of cable SOLARpower Alu-ATA 1x240/31
Permissible current rating Ic A 2 x 182.9 (365.8)
Operating voltage Uo kV 1.0
System frequency f Hz 0.0
Number of sources in system Nc 4
Number of conductors combined ncc 4
LoadContinuous load LF p.u. 1.0
TemperaturesTemperature of conductor θc °C 60.0
Temperature of screen/sheath θs °C 59.2
External temperature of the object θe °C 58.8
Duct
Mean temperature of the medium in the duct θdm °C 55.0
Temperature of duct inner wall θdi °C 51.1
Temperature of duct outer wall θde °C 50.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 32
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Temperature rises
Temperature rise of conductor Δθc K 22.2
Temperature rise by dielectric losses Δθd K 0.0
Temperature rise by other buried objects Δθp K 22.8
Critical soil temperature rise Δθx K 0.0
LossesOhmic
Conductor losses Wc W/m 4.854
Ohmic losses per phase WI W/m 4.854
Total
Total losses per phase Wt W/m 4.854
Total losses per object Wtot W/m 4.854
Total losses of the system Wsys W/m 19.418
ArrangementMaterial of duct pipe Md Plastic duct made of PP (Polypropylene)
Inside / outside diameter of duct Did/Dod mm 120.0 / 130.0
Thermal resistivity of duct material ρd K.m/W 4.500
Specific heat capacity of duct material σd J/K.m³ 1800000.0
Absorption coefficient of solar radiation σsun 0.6
Center position of duct 1 x1 / y1 mm -400.0 / 910.0
Separation of conductors in a system sc mm 32.95
Depth of laying of sources Lc mm 910.0
Substitution coefficient u u 14.000
Thermal ResistancesThermal resistance to ambient T4μ K.m/W 0.629
Thermal resistance of medium in the duct T4i K.m/W 0.395
Thermal resistance of the duct wall T4ii K.m/W 0.057
Correction of thermal resistance for backfill T4db K.m/W 0.205
Number of loaded objects in backfill Nb 3.14
Mutual heating coefficient Feq 1.000
Other characteristicsEarthing
Earthing of cable screen/sheath Both sides
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 33
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Variation of spacing No variation
Loss Factors
Loss factor of screen and sheath λ1 0.000
Loss factor by circulating currents λ1c 0.000
Loss factor of armour λ2 0.000
Conductor resistance
Resistance of conductor at operating temperature Rc Ω/km 1.452e-01
Electrical parametersApparent power at injecting point SG kW 365.8
Resistances
Electrical resistance of screen Rsc Ω/km 0.8453
Electrical resistance of screen||sheath Rs Ω/km 0.8453
Electrical stress
Electrical stress on inner/outer side of insulation Estress kV 0.335 / 0.276
Radius to point x in insulation rx mm 8.97 / 10.88
Line-to-ground voltage Ue kV 0.58
Capacitance
Inductances
Mean inductance of the phases Lm mH/km 0.3129
Voltage drop Vdrop V/A/km 0.2613
Short circuit currentsDuration of short-circuit tk s 0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Conductor
Permissible short-circuit current Ik kA 80.61 | 57.18 | 46.79 | 36.38 | 25.90 | 18.48 | 15.20 | 11.90
Short-circuit current (adiabatic) IkAD kA 80.02 | 56.58 | 46.20 | 35.78 | 25.30 | 17.89 | 14.61 | 11.32
Initial temperature θki °C 60.0
Final temperature θkf °C 250.0
Specific short-circuit parameter Kk A.s½/mm² 148.1
Reciprocal of temperature coefficient of resistance βk K 228
Specific heat capacity of metallic component σkc J/K.m³ 2.50e+06
Electrical resistivity of metallic component ρk20 Ω.m 2.8264e-08
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 34
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Heat loss allowance factor εk 1.052
Cross-sectional area of current carrying component Sk mm² 240.00
Imperfect contact thermal factor Fk 0.9
Thermal property constant A Ak (mm²/s)½ 0.8162
Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 4.0410e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 3.5
Specific heat capacity of adjacent material σki J/K.m³ 2.40e+06
Screen
Permissible short-circuit current Ik kA 11.33 | 8.19 | 6.79 | 5.40 | 3.99 | 3.01 | 2.58 | 2.17
Short-circuit current (adiabatic) IkAD kA 10.75 | 7.60 | 6.20 | 4.81 | 3.40 | 2.40 | 1.96 | 1.52
Initial temperature θki °C 59.0
Final temperature θkf °C 180.0
Specific short-circuit parameter Kk A.s½/mm² 148.1
Reciprocal of temperature coefficient of resistance βk K 228
Specific heat capacity of metallic component σkc J/K.m³ 2.50e+06
Electrical resistivity of metallic component ρk20 Ω.m 2.8264e-08
Heat loss allowance factor εk 1.425
Cross-sectional area of current carrying component Sk mm² 38.720
Imperfect contact thermal factor Fk 0.5
Thermal contact factor Mk s½ 0.2811
Thickness of screen, sheath or armour δk mm 0.5
Thermal resistivity of the layer located above ρk2 K.m/W 6.0
Thermal resistivity of the layer located below ρk3 K.m/W 3.5
Specific heat capacity of layer located below σk2 J/K.m³ 2.00e+06
Specific heat capacity of layer located above σk3 J/K.m³ 2.40e+06
System G (Low voltage cable)
AmpacityName of cable FO Rampion
Permissible current rating Ic A 0.1
Operating voltage Uo kV 0.4
System frequency f Hz 50.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 35
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Number of sources in system Nc 1
Number of conductors combined ncc 1
LoadContinuous load LF p.u. 1.0
TemperaturesTemperature of conductor θc °C 47.6
Temperature of screen/sheath θs °C 47.6
External temperature of the object θe °C 47.6
Duct
Mean temperature of the medium in the duct θdm °C 47.6
Temperature of duct inner wall θdi °C 47.6
Temperature of duct outer wall θde °C 47.6
Temperature rises
Temperature rise of conductor Δθc K 4.3
Temperature rise by dielectric losses Δθd K 0.0
Temperature rise by other buried objects Δθp K 28.3
Critical soil temperature rise Δθx K 0.0
LossesOhmic
Conductor losses Wc W/m 0.001
Ohmic losses per phase WI W/m 0.001
Dielectric
Dielectric losses Wd W/m 0.000
Total
Total losses per phase Wt W/m 0.001
Total losses per object Wtot W/m 0.001
Total losses of the system Wsys W/m 0.001
ArrangementMaterial of duct pipe Md Plastic duct made of PE (Polyethylene)
Inside / outside diameter of duct Did/Dod mm 140.0 / 150.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 36
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Thermal resistivity of duct material ρd K.m/W 3.500
Specific heat capacity of duct material σd J/K.m³ 2400000.0
Absorption coefficient of solar radiation σsun 0.4
Center position of duct 1 x1 / y1 mm 1080.0 / 1150.0
Depth of laying of sources Lc mm 1150.0
Substitution coefficient u u 15.333
Thermal ResistancesThermal resistance to ambient T4μ K.m/W 6776.977
Thermal resistance of medium in the duct T4i K.m/W 1.257
Thermal resistance of the duct wall T4ii K.m/W 0.038
Correction of thermal resistance for backfill T4db K.m/W 6776.541
Number of loaded objects in backfill Nb 89324.64
Mutual heating coefficient Feq 1.000
Other characteristicsEarthing
Earthing not considered
Loss Factors
Loss factor of screen and sheath λ1 0.000
Loss factor by circulating currents λ1c 0.000
Loss factor of armour λ2 0.000
Conductor resistance
AC resistance of conductor at operating temperature Rc Ω/km 6.386e+01
DC resistance of conductor at operating temperature RcDC Ω/km 6.386e+01
Skin effect factor of conductor ys 0.0000
Factor for skin effect on conductor xs 0.0444
Proximity effect factor of conductors yp 0.0000
Factor for proximity effect of conductors xp 0.0397
Electrical parametersApparent power at injecting point SG kW 0.040
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 37
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Resistances
Electrical resistance of screen Rsc Ω/km 83.2600
Electrical resistance of screen||sheath Rs Ω/km 83.2600
Electrical stress
Electrical stress on inner/outer side of insulation Estress kV 0.449 / 0.126
Radius to point x in insulation rx mm 0.70 / 2.50
Line-to-ground voltage Ue kV 0.40
Capacitance
Capacitive load current IC A/km 0.01
Charging capacity CC kvar/km 0.01
Capacitive earth short-circuit current ICe A/km 0.01
Vacuum permeability μ0 H/m 1.25664e-06
Geometric mean radius GMR mm 0.390
Geometric mean radius factor KGMR 0.779
Number of wires in conductor ncw 1
Voltage drop Vdrop V/A/km 114.9493
Short circuit currentsDuration of short-circuit tk s 0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Conductor
Permissible short-circuit current Ik kA 0.16 | 0.12 | 0.10 | 0.08 | 0.06 | 0.05 | 0.04 | 0.04
Short-circuit current (adiabatic) IkAD kA 0.14 | 0.10 | 0.08 | 0.06 | 0.04 | 0.03 | 0.03 | 0.02
Initial temperature θki °C 48.0
Final temperature θkf °C 160.0
Specific short-circuit parameter Kk A.s½/mm² 148.1
Reciprocal of temperature coefficient of resistance βk K 228
Specific heat capacity of metallic component σkc J/K.m³ 2.50e+06
Electrical resistivity of metallic component ρk20 Ω.m 2.8264e-08
Heat loss allowance factor εk 1.824
Cross-sectional area of current carrying component Sk mm² 0.50
Imperfect contact thermal factor Fk 0.9
Thermal property constant A Ak (mm²/s)½ 0.8162
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 38
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Non-adiabatic constant C1 Ck1 mm/m 2464
Thermal property constant B Bk mm²/s 4.0410e-04
Non-adiabatic constant C2 Ck2 K.m.mm²/J 1.22
Thermal resistivity of adjacent material ρki K.m/W 3.5
Specific heat capacity of adjacent material σki J/K.m³ 2.40e+06
Screen
Permissible short-circuit current Ik kA 0.73 | 0.52 | 0.43 | 0.34 | 0.25 | 0.19 | 0.16 | 0.13
Short-circuit current (adiabatic) IkAD kA 0.70 | 0.49 | 0.40 | 0.31 | 0.22 | 0.16 | 0.13 | 0.10
Initial temperature θki °C 48.0
Final temperature θkf °C 180.0
Specific short-circuit parameter Kk A.s½/mm² 73.29
Reciprocal of temperature coefficient of resistance βk K 980
Specific heat capacity of metallic component σkc J/K.m³ 3.76e+06
Electrical resistivity of metallic component ρk20 Ω.m 7e-07
Heat loss allowance factor εk 1.347
Cross-sectional area of current carrying component Sk mm² 8.639
Imperfect contact thermal factor Fk 0.5
Thermal contact factor Mk s½ 0.2202
Thickness of screen, sheath or armour δk mm 0.5
Thermal resistivity of the layer located above ρk2 K.m/W 3.5
Thermal resistivity of the layer located below ρk3 K.m/W 3.5
Specific heat capacity of layer located below σk2 J/K.m³ 2.40e+06
Specific heat capacity of layer located above σk3 J/K.m³ 2.40e+06
System H (heat sink)
TemperaturesTemperature of heat source θhs °C 15.18
Temperature rises
Temperature rise by other buried objects Δθp K 23.0
Critical soil temperature rise Δθx K 0.0
LossesHeat accumulation by heat sink Whs W/m -40.000
ArrangementCenter position of heat source x / y mm 1900.0 / 900.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 39
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External diameter of heat source Dhs mm 100.0
Depth of laying of sources Lc mm 900.0
Substitution coefficient u u 18.000
Thermal ResistancesThermal resistance to ambient T4iii K.m/W 0.570
Mutual heating coefficient Feq 1.000
System I (heat source)
TemperaturesTemperature of heat source θhs °C 36.42
Temperature rises
Temperature rise by other buried objects Δθp K 0.2
Critical soil temperature rise Δθx K 0.0
LossesHeat release by heat source Whs W/m 40.000
ArrangementCenter position of heat source x / y mm 1700.0 / 700.0
External diameter of heat source Dhs mm 100.0
Depth of laying of sources Lc mm 700.0
Substitution coefficient u u 14.000
Thermal ResistancesThermal resistance to ambient T4iii K.m/W 0.530
Mutual heating coefficient Feq 1.000
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 40
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Cable: 33kV, XKDT-FT 3x150 mm2 RM35Cable is used in following systems: E
General DataRated line-to-line voltage Un kV 30.0
Value of U0 for determination of test voltages U0 kV 18.0
Highest voltage for equipment Um kV 36.0
System frequency f Hz 50.0
Manufacturer Brugg Cables
ConductorNumber of conductors in object nc 3
Cross-sectional area of conductor Ac mm² 150.0
Material of conductor Mc Copper
Construction of conductor cconstr Round, stranded
Coating of wires Rco - plain
Skin effect coefficient ks 1.0
Proximity effect coefficient kp 1.0
Electrical resistivity of conductor material ρc Ω.m 1.7241e-08
DC resistance of conductor at 20°C Rco Ω/m 0.000124
Temperature coefficient of conductor material αc 1/K 0.00393
Specific heat capacity of conductor material σc J/K.m³ 3450000.0
External diameter of conductor dc mm 14.0
Thickness of s.c. tape wrapped around conductor tct mm 0
InsulationMaterial of insulation Mi Crosslinked polyethylene (XLPE)
Thickness of conductor shield tcs mm 0.6
Thickness of insulation tins mm 8.1
Thickness of insulation screen tis mm 0.4
Thickness of insulation between conductors t mm 18.2000
Max. conductor temperature θcmax °C 90.0
Max. emergency overload conductor temperature θcmaxeo °C 130.0
Max. short-circuit conductor temperature θcmaxsc °C 250.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 41
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Relative permittivity of insulation εi 2.5000
Loss factor of insulation tanδi 0.0040
Thermal resistivity of insulation ρi K.m/W 3.5
Specific heat capacity of insulation material σi J/K.m³ 2400000.0
Capacitance of insulation Cb µF/km 0.1917
Vacuum permittivity ε0 F/m 8.85419e-12
Radius below the insulation rF mm 7.60
Radius of the insulation rI mm 15.70
ScreenThickness of screen bedding tscb mm 0.6
Specific heat capacity of screen bedding σscb J/K.m³ 2000000.0
Type of screen Round wires
Material of screen Msc Copper
Diameter of screen wires tsc mm 0.9
Number of screen wires nsw 54
Electrical resistance of screen Rsc Ω/km 0.5019
Specific heat capacity of screen material σsc J/K.m³ 3450000.0
Thickness of screen serving tscs mm 2.4
Specific heat capacity of screen serving σscs J/K.m³ 2000000.0
FillerMaterial of filler Mf Shaped polyvinyl chloride (PVC)
Thickness of filler/belt insulation tf mm 0.1
Thermal resistivity of filler ρf K.m/W 6.0
Specific heat capacity of filler σf J/K.m³ 1700000.0
ArmourConstruction of armour aconstr Steel wires, flat
Electrical resistance of 1st armour layer RA1Ω/km 0.5469
Thickness of 1st armour df1mm 1.2
Width of flat wires of 1st armour wf1mm 6.0
Number of wires of 1st armour na140
Length of lay of 1st armour pa1mm 500.0
Effective length per unit lay length of 1st armour Fa1mm 1.14
Cross-sectional area of armour Aa mm² 288.0
Specific heat capacity of armour material σar J/K.m³ 3800000.0
JacketMaterial of jacket Mj Polyvinyl chloride (PVC, ST1/2)
Thickness of jacket tj mm 4.10
External diameter of object De mm 96.99
Thermal resistivity of jacket material ρj K.m/W 5.0
Specific heat capacity of jacket material σj J/K.m³ 1700000.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 42
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Internal thermal resistancesThermal resistance between one conductor and sheath T1 K.m/W 1.168
Thermal resistance between sheath and armour T2 K.m/W 0.000
Thermal resistance between sheath and 1st armour layer T21K.m/W 0.000
Thermal resistance of material between armour layers T22K.m/W 0.000
Thermal resistance of jacket T3 K.m/W 0.070
Thickness of insulation to sheath t1 mm 12.200
Thickness of bedding under armour t2 mm 0.000
Thickness of serving over armour t3 mm 4.100
Geometric factor G1 G1 1.8470
External diameter of the filler Df mm 86.3880
Factor αM αM 0.3105
Factor βM βM -0.0189
Factor XG XG 0.8714
Factor YG YG 0.3407
MechanicalMass of object m kg/m 14.51
Heat energy content Hc MJ/m 169.83
kWh/m 47.18
Factor of permissible pull fppc N/mm² 40.0
Permissible pull force on cable Fppc daN 1152.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 43
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Cable: N2XS(FL)2Y 630Cu/50RCu mm2 110/64kVCable is used in following systems: A, B, C
General DataRated line-to-line voltage Un kV 110.0
Value of U0 for determination of test voltages U0 kV 64.0
Highest voltage for equipment Um kV 123.0
System frequency f Hz 50.0
Description XDRCU-ALT
ConductorNumber of conductors in object nc 1
Cross-sectional area of conductor Ac mm² 630.0
Material of conductor Mc Copper
Construction of conductor cconstr Round, stranded
Coating of wires Rco - plain
Skin effect coefficient ks 1.0
Proximity effect coefficient kp 1.0
Electrical resistivity of conductor material ρc Ω.m 1.7241e-08
DC resistance of conductor at 20°C Rco Ω/m 2.83e-05
Temperature coefficient of conductor material αc 1/K 0.00393
Specific heat capacity of conductor material σc J/K.m³ 3450000.0
External diameter of conductor dc mm 30.1
Thickness of s.c. tape wrapped around conductor tct mm 0.1
InsulationMaterial of insulation Mi Crosslinked polyethylene (XLPE)
Thickness of conductor shield tcs mm 1.2
Thickness of insulation tins mm 18.3
Thickness of insulation screen tis mm 1.0
Thickness of insulation between conductors t mm 41.2000
Max. conductor temperature θcmax °C 90.0
Max. emergency overload conductor temperature θcmaxeo °C 130.0
Max. short-circuit conductor temperature θcmaxsc °C 250.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 44
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Relative permittivity of insulation εi 2.5000
Loss factor of insulation tanδi 0.0010
Thermal resistivity of insulation ρi K.m/W 3.5
Specific heat capacity of insulation material σi J/K.m³ 2400000.0
Capacitance of insulation Cb µF/km 0.1852
Vacuum permittivity ε0 F/m 8.85419e-12
Radius below the insulation rF mm 16.35
Radius of the insulation rI mm 34.65
ScreenThickness of screen bedding tscb mm 1.0
Specific heat capacity of screen bedding σscb J/K.m³ 2000000.0
Type of screen Round wires
Material of screen Msc Copper
Diameter of screen wires tsc mm 0.92
Number of screen wires nsw 74
Electrical resistance of screen Rsc Ω/km 0.3505
Specific heat capacity of screen material σsc J/K.m³ 3450000.0
Thickness of screen serving tscs mm 0.6
Specific heat capacity of screen serving σscs J/K.m³ 2000000.0
SheathMaterial of sheath Msh Aluminium
Thickness of the sheath tsh mm 0.25
Corrugated sheath - No
Mean diameter of sheath ds mm 76.59
Mean external diameter of the sheath Ds mm 76.84
Electrical resistance of sheath Rsh Ω/km 0.4699
Specific heat capacity of sheath material σsh J/K.m³ 2500000.0
JacketMaterial of jacket Mj Polyethylene (LD/MDPE, ST3)
Thickness of jacket tj mm 4.10
External diameter of object De mm 85.04
Thermal resistivity of jacket material ρj K.m/W 3.5
Specific heat capacity of jacket material σj J/K.m³ 2400000.0
Internal thermal resistancesThermal resistance between one conductor and sheath T1 K.m/W 0.505
Thermal resistance between sheath and armour T2 K.m/W 0.000
Thermal resistance between sheath and 1st armour layer T21K.m/W 0.000
Thermal resistance of material between armour layers T22K.m/W 0.000
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 45
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Thermal resistance of jacket T3 K.m/W 0.056
Thickness of insulation to sheath t1 mm 22.200
Thickness of bedding under armour t2 mm 0.000
Thickness of serving over armour t3 mm 4.100
MechanicalMass of object m kg/m 10.73
Heat energy content Hc MJ/m 180.44
kWh/m 50.12
Factor of permissible pull fppc N/mm² 60.0
Permissible pull force on cable Fppc daN 3780.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 46
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Cable: SOLARpower Alu-ATA 1x240/31Cable is used in following systems: F
General DataRated line-to-line voltage Un kV 1.0
Value of U0 for determination of test voltages U0 kV 0.6
Highest voltage for equipment Um kV 1.2
System frequency f Hz 0.0
ConductorNumber of conductors in object nc 1
Cross-sectional area of conductor Ac mm² 240.0
Material of conductor Mc Aluminium
Construction of conductor cconstr Round, stranded
Skin effect coefficient ks 1.0
Proximity effect coefficient kp 0.8
Electrical resistivity of conductor material ρc Ω.m 2.8264e-08
DC resistance of conductor at 20°C Rco Ω/m 0.000125
Temperature coefficient of conductor material αc 1/K 0.00403
Specific heat capacity of conductor material σc J/K.m³ 2500000.0
External diameter of conductor dc mm 17.95
Thickness of s.c. tape wrapped around conductor tct mm 0
InsulationMaterial of insulation Mi Crosslinked polyethylene (XLPE)
Thickness of conductor shield tcs mm 0
Thickness of insulation tins mm 1.9
Thickness of insulation screen tis mm 0.0
Thickness of insulation between conductors t mm 3.8000
Max. conductor temperature θcmax °C 90.0
Max. emergency overload conductor temperature θcmaxeo °C 130.0
Max. short-circuit conductor temperature θcmaxsc °C 250.0
Relative permittivity of insulation εi 2.5000
Loss factor of insulation tanδi 0.0040
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 47
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for anyparticular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Thermal resistivity of insulation ρi K.m/W 3.5
Specific heat capacity of insulation material σi J/K.m³ 2400000.0
Capacitance of insulation Cb µF/km 0.7243
Vacuum permittivity ε0 F/m 8.85419e-12
Radius below the insulation rF mm 8.97
Radius of the insulation rI mm 10.88
ScreenThickness of screen bedding tscb mm 1.2
Specific heat capacity of screen bedding σscb J/K.m³ 2000000.0
Type of screen Tapes
Material of screen Msc Aluminium
Diameter of screen tsc mm 0.5
Electrical resistance of screen Rsc Ω/km 0.7300
Specific heat capacity of screen material σsc J/K.m³ 2500000.0
JacketMaterial of jacket Mj Polyethylene (HDPE, ST7)
Thickness of jacket tj mm 1.90
External diameter of object De mm 28.95
Thermal resistivity of jacket material ρj K.m/W 3.5
Specific heat capacity of jacket material σj J/K.m³ 2400000.0
Internal thermal resistancesThermal resistance between one conductor and sheath T1 K.m/W 0.165
Thermal resistance between sheath and armour T2 K.m/W 0.000
Thermal resistance between sheath and 1st armour layer T21K.m/W 0.000
Thermal resistance of material between armour layers T22K.m/W 0.000
Thermal resistance of jacket T3 K.m/W 0.078
Thickness of insulation to sheath t1 mm 3.100
Thickness of bedding under armour t2 mm 0.000
Thickness of serving over armour t3 mm 1.900
MechanicalMass of object m kg/m 1.09
Heat energy content Hc MJ/m 13.06
kWh/m 3.63
Factor of permissible pull fppc N/mm² 30.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 48
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for anyparticular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Permissible pull force on cable Fppc daN 720.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 49
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for anyparticular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Cable: FO RampionWarning! Resistance for aluminium conductors of sizes below 10 mm2 is acc. to ASTM B231-04.Cable is used in following systems: G
General DataRated line-to-line voltage Un V 400
Value of U0 for determination of test voltages U0 V 230
Highest voltage for equipment Um V 440
System frequency f Hz 50.0
Manufacturer Prysmian
Description Fake electrical cable for FO trail
ConductorNumber of conductors in object nc 1
Cross-sectional area of conductor Ac mm² 0.5
Material of conductor Mc Aluminium
Construction of conductor cconstr Round, stranded
Skin effect coefficient ks 1.0
Proximity effect coefficient kp 0.8
Electrical resistivity of conductor material ρc Ω.m 2.8264e-08
DC resistance of conductor at 20°C Rco Ω/m 0.05747
Temperature coefficient of conductor material αc 1/K 0.00403
Specific heat capacity of conductor material σc J/K.m³ 2500000.0
External diameter of conductor dc mm 1.0
Thickness of s.c. tape wrapped around conductor tct mm 0.1
InsulationMaterial of insulation Mi High density polyethylene (HDPE)
Thickness of conductor shield tcs mm 0.1
Thickness of insulation tins mm 1.8
Thickness of insulation screen tis mm 0.0
Thickness of insulation between conductors t mm 4.0000
Max. conductor temperature θcmax °C 80.0
Max. emergency overload conductor temperature θcmaxeo °C 80.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 50
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for anyparticular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Max. short-circuit conductor temperature θcmaxsc °C 160.0
Relative permittivity of insulation εi 2.3000
Loss factor of insulation tanδi 0.0010
Thermal resistivity of insulation ρi K.m/W 3.5
Specific heat capacity of insulation material σi J/K.m³ 2400000.0
Capacitance of insulation Cb µF/km 0.1005
Vacuum permittivity ε0 F/m 8.85419e-12
Radius below the insulation rF mm 0.70
Radius of the insulation rI mm 2.50
ScreenType of screen Tapes
Material of screen Msc Stainless steel
Diameter of screen tsc mm 0.5
Electrical resistance of screen Rsc Ω/km 81.0243
Specific heat capacity of screen material σsc J/K.m³ 3760000.0
JacketMaterial of jacket Mj Polyethylene (HDPE, ST7)
Thickness of jacket tj mm 2.00
External diameter of object De mm 10.00
Thermal resistivity of jacket material ρj K.m/W 3.5
Specific heat capacity of jacket material σj J/K.m³ 2400000.0
Internal thermal resistancesThermal resistance between one conductor and sheath T1 K.m/W 0.897
Thermal resistance between sheath and armour T2 K.m/W 0.000
Thermal resistance between sheath and 1st armour layer T21K.m/W 0.000
Thermal resistance of material between armour layers T22K.m/W 0.000
Thermal resistance of jacket T3 K.m/W 0.285
Thickness of insulation to sheath t1 mm 2.000
Thickness of bedding under armour t2 mm 0.000
Thickness of serving over armour t3 mm 2.000
MechanicalMass of object m kg/m 0.13
Factor of permissible pull fppc N/mm² 30.0
Permissible pull force on cable Fppc daN 1.5
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 51
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for anyparticular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Cable: N2XS2Y 240Cu/25RCu mm2 20/12kVCable is used in following systems: D
General DataRated line-to-line voltage Un kV 20.0
Value of U0 for determination of test voltages U0 kV 12.0
Highest voltage for equipment Um kV 24.0
System frequency f Hz 50.0
Description acc. VDE 0276 / HD 620 5-C
ConductorNumber of conductors in object nc 1
Cross-sectional area of conductor Ac mm² 240.0
Material of conductor Mc Copper
Construction of conductor cconstr Round, stranded
Coating of wires Rco - plain
Skin effect coefficient ks 1.0
Proximity effect coefficient kp 1.0
Electrical resistivity of conductor material ρc Ω.m 1.7241e-08
DC resistance of conductor at 20°C Rco Ω/m 7.54e-05
Temperature coefficient of conductor material αc 1/K 0.00393
Specific heat capacity of conductor material σc J/K.m³ 3450000.0
External diameter of conductor dc mm 18.9
Thickness of s.c. tape wrapped around conductor tct mm 0.1
InsulationMaterial of insulation Mi Crosslinked polyethylene (XLPE)
Thickness of conductor shield tcs mm 0.8
Thickness of insulation tins mm 5.5
Thickness of insulation screen tis mm 0.4
Thickness of insulation between conductors t mm 13.6000
Max. conductor temperature θcmax °C 90.0
Max. emergency overload conductor temperature θcmaxeo °C 130.0
Max. short-circuit conductor temperature θcmaxsc °C 250.0
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 52
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for anyparticular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Relative permittivity of insulation εi 2.5000
Loss factor of insulation tanδi 0.0040
Thermal resistivity of insulation ρi K.m/W 3.5
Specific heat capacity of insulation material σi J/K.m³ 2400000.0
Capacitance of insulation Cb µF/km 0.3263
Vacuum permittivity ε0 F/m 8.85419e-12
Radius below the insulation rF mm 10.35
Radius of the insulation rI mm 15.85
ScreenThickness of screen bedding tscb mm 0.6
Specific heat capacity of screen bedding σscb J/K.m³ 2000000.0
Type of screen Round wires
Material of screen Msc Copper
Diameter of screen wires tsc mm 0.92
Number of screen wires nsw 36
Electrical resistance of screen Rsc Ω/km 0.7204
Specific heat capacity of screen material σsc J/K.m³ 3450000.0
JacketMaterial of jacket Mj Polyethylene (LD/MDPE, ST3)
Thickness of jacket tj mm 2.45
External diameter of object De mm 40.44
Thermal resistivity of jacket material ρj K.m/W 3.5
Specific heat capacity of jacket material σj J/K.m³ 2400000.0
Internal thermal resistancesThermal resistance between one conductor and sheath T1 K.m/W 0.322
Thermal resistance between sheath and armour T2 K.m/W 0.000
Thermal resistance between sheath and 1st armour layer T21K.m/W 0.000
Thermal resistance of material between armour layers T22K.m/W 0.000
Thermal resistance of jacket T3 K.m/W 0.072
Thickness of insulation to sheath t1 mm 7.400
Thickness of bedding under armour t2 mm 0.000
Thickness of serving over armour t3 mm 2.450
MechanicalMass of object m kg/m 3.30
Heat energy content Hc MJ/m 34.91
kWh/m 9.70
Title: Sample Calculation Flyer 2019-08-15 12:20 / page 53
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for anyparticular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Factor of permissible pull fppc N/mm² 60.0
Permissible pull force on cable Fppc daN 1440.0
