Calculation Report
Title
Project
Description
Created
Sample Calculation
Cableizer Website
Sample calculation to show various kind of cable types in different possible
arrangements, with different frequencies, number of phases, backfills, in ducts plus
a heat source and sink.
2018-05-31 22:12
Laying arrangement
Arrangement
Buried cables
Options
None
Ambient temperature
θa
°C
15.0
Thermal resistivity of soil
ρ4
K.m/W
1.0
Active systems
A, B, C, D, E, F, G, H, I
Statistics
Sum of currents from all systems
Isum
A
2369.2
Sum of average of conductor temperatures
θsum
°C
399.6
Number of overheated systems
NΔθsum
-
0
Number of iterations
Ncalc
-
30
from all cables of all systems
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 2
Content
Systems
Following systems are active in the arrangement:
System
Cable
Current Ic
max Temp. θc
Losses Wsys
System A
N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV
500.0 A
70.0 °C
57.4 W/m
System B
N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV
450.0 A
54.4 °C
22.5 W/m
System C
N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV
600.0 A
60.6 °C
24.0 W/m
System D
N2XS2Y 240Cu/25RCu mm2 20/12kV
240.0 A
51.0 °C
15.7 W/m
System E
33kV, XKDT-FT 3x150 mm2 RM35
200.0 A
62.2 °C
18.9 W/m
System F
SOLARpower Alu-ATA 1x240/31
2 x 189.6
60.0 °C
20.9 W/m
(379.1)
System G
FO Rampion
48.1 °C
0.0 W/m
System H
Heat sink
0.1 A
15.3 °C
-40.0 W/m
System I
Heat source
36.6 °C
40.0 W/m
Cables
Following cables are used in the active systems:
-
N2XS2Y 240Cu/25RCu mm2 20/12kV
N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV
33kV, XKDT-FT 3x150 mm2 RM35
SOLARpower Alu-ATA 1x240/31
FO Rampion
Backfill
Calculation method
IEC 60287-2-1 ed2.0
Backfill Area 1
Thermal resistivity backfill
ρb
K.m/W
0.8
Horizontal center position of backfill
xb
mm
-500.0
Vertical center position of backfill
Lb
mm
980.0
Height of the backfill area
hb
mm
400.0
Width of the backfill area
wb
mm
600.0
Geometric factor for backfill
Gb
-
2.0269
Equivalent radius of backfill
rb
mm
253.82
Thermal resistivity backfill
ρb
K.m/W
0.8
Horizontal center position of backfill
xb
mm
1000.0
Vertical center position of backfill
Lb
mm
1230.0
Diameter of the backfill area
db
mm
450.0
Geometric factor for backfill
Gb
-
2.3833
Backfill Area 2
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 3
System A
Ampacity
Name 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 cables in system
Nc
-
3
Number of conductors combined
ncc
-
1
Apparent power at injecting point
SG
kW
95263
Temperature of conductor
θc
°C
1: 70.0 | 2: 58.7 | 3: 64.5
Temperature of screen/sheath
θs
°C
1: 65.3 | 2: 54.2 | 3: 59.9
External temperature of cable
θe
°C
1: 64.0 | 2: 53.3 | 3: 58.8
Mean temperature of the medium in the
θm
°C
1: 60.1 | 2: 50.7 | 3: 55.4
Internal temperature of duct
θdi
°C
1: 56.3 | 2: 48.1 | 3: 51.9
External temperature of duct
θde
°C
1: 55.4 | 2: 47.5 | 3: 51.2
Temperature rise of conductor
Δθc
K
1: 43.9 | 2: 32.4 | 3: 39.7
Temperature rise by dielectric losses
Δθd
K
1: 0.5 | 2: 0.5 | 3: 0.5
Critical soil temperature rise
Δθx
K
0.0
Temperature rise by other buried cables
Δθp
K
1: 11.1 | 2: 11.2 | 3: 9.8
Conductor losses
Wc
W/m
1: 9.110 | 2: 8.817 | 3: 8.968
Dielectric losses
Wd
W/m
1: 0.235 | 2: 0.235 | 3: 0.235
Screen and sheath losses
Ws
W/m
1: 13.605 | 2: 5.609 | 3: 10.583
Armour losses and losses in steel pipe
WA
W/m
0.000
Ohmic losses per cable phase
WI
W/m
1: 22.715 | 2: 14.426 | 3: 19.552
Total losses per cable phase
Wt
W/m
1: 22.950 | 2: 14.661 | 3: 19.786
Temperatures
duct
Temperature rises
Losses
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 4
Total losses per cable
Wtot
W/m
1: 22.950 | 2: 14.661 | 3: 19.786
Total losses of cable system
Wsys
W/m
57.397
Steady-State Load
Continuous load with load factor
LF
1.0
Arrangement
Material of duct pipe
Md
-
Plastic (LDPE/HDPE)
Inside / outside diameter of duct
Did/Dod
mm
140.0 / 150.0
Thermal resistivity of duct material
ρd
K.m/W
3.5
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
Loss factor for sheath and screen
λ1
-
1: 1.493 | 2: 0.636 | 3: 1.180
Loss factor by circulating currents
λ1c
-
1: 1.493 | 2: 0.636 | 3: 1.180
Loss factor for solid bonding
λ1cb
-
1: 1.493 | 2: 0.636 | 3: 1.180
Loss factor for single point bonding
λ1es
-
1: 0.020 | 2: 0.021 | 3: 0.020
Other characteristics
Loss factors
Earthing
Earthing of cable screen/sheath
Both sides
Variation of cable spacing
No variation
External thermal resistance
Thermal resistance to ambient
T4μ
K.m/W
1: 1.277 | 2: 1.453 | 3: 1.333
Steady-state thermal resistance
T4ss
K.m/W
1: 1.277 | 2: 1.453 | 3: 1.333
Transient thermal resistance
T4et
K.m/W
0.000
Thermal resistance of medium in the duct
T4i
K.m/W
1: 0.337 | 2: 0.356 | 3: 0.347
Thermal resistance of the duct wall
T4ii
K.m/W
0.038
Thermal resistance to ambient of cable/duct
T4iii
K.m/W
1: 1.088 | 2: 1.156 | 3: 1.113
Substitution coefficient
u
-
1: 15.333 | 2: 17.467 | 3: 17.467
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 5
Correction for backfill
T4db
K.m/W
1: 0.190 | 2: 0.297 | 3: 0.220
Number of loaded cables in backfill
Nb
-
1: 2.50 | 2: 3.92 | 3: 2.90
AC resistance of conductor
R
Ω/km
1: 0.0364 | 2: 0.0353 | 3: 0.0359
Skin effect factor of conductor
ys
-
1: 0.0679 | 2: 0.0729 | 3: 0.0702
Factor of skin effect on conductor
xs
-
1: 1.9266 | 2: 1.9633 | 3: 1.9440
Proximity effect factor of conductors
yp
-
1: 0.0084 | 2: 0.0089 | 3: 0.0086
Factor of proximity effect on conductor
xp
-
1: 1.9266 | 2: 1.9633 | 3: 1.9440
DC resistance of conductor
Rc
Ω/km
1: 0.0339 | 2: 0.0326 | 3: 0.0333
Resistance of screen at operating temp.
Rsc
Ω/km
1: 0.4129 | 2: 0.3975 | 3: 0.4055
Resistance of sheath at operating temp.
Rsh
Ω/km
1: 0.5556 | 2: 0.5346 | 3: 0.5455
Resistance of screen and sheath in parallel
Rs
Ω/km
1: 0.2369 | 2: 0.2280 | 3: 0.2326
Estress
kV
5.172 / 2.440
Radius to point x in insulation
rx
mm
16.35 / 34.65
Phase-to-ground voltage
Ue
kV
63.51
Radius below the insulation
rF
mm
16.35
Radius of the insulation
rI
mm
34.65
Capacitance of insulation
Cb
µF/km
0.1852
Vacuum permittivity
ε0
F/m
8.85419e-12
Capacitive load current
IC
A/km
3.69
Conductor resistance
Electrical parameters
Resistances
Electrical stress
Electrical stress on inner/outer side of
insulation
Capacitance
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 6
Charging capacity
CC
kvar/km
703.92
Capacitive earth short-circuit current
ICe
A/km
11.08
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
mm
160.000 / 160.000 / 226.274
Inductance
1
Geometric mean radius
GMR
mm
11.649
Geometric mean radius factor
KGMR
-
0.774
Number of wires in conductor
ncw
-
91
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: 0.9350 | 2: 0.9304 | 3: 0.9328
Voltage drop
Vdrop
V/A/km
1: 0.1920 | 2: 0.1902 | 3: 0.1912
Positive sequence impedance
Zpos
Ω/km
(0.0364+0.1791j)
Negative sequence impedance
Zneg
Ω/km
(0.0364+0.1791j)
Admittance
Y
S/km
(1.0904-5.3606j)
Surge Impedance
SI
Ω
55.49
Surge velocity of propagation
cSI
km/s
189605.4
G
S/km
1.0904
Reactance
Impedance and Admittance
Conductance and Susceptance
Conductance
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
Susceptance
2018-05-31 22:12 / page 7
B
S/km
-5.3606
Zero sequence impedance
Z0
Ω/km
(0.0305+0.0748j)
Zero sequence resistance
R0
Ω/km
0.0305
Resistance of screen and sheath at 20°C
Rso
Ω/km
0.2007
Zero sequence reactance
X0
Ω/km
0.0748
Zero sequence impedance
Short circuit currents
Duration of short-circuit
tk
s
0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Permissible short-circuit current
Ik,c
kA
307.45 | 217.70 | 177.94 | 138.06 | 97.92 | 69.54 | 56.96 | 44.35
Short-circuit current (adiabatic basis)
IkAD
kA
306.43 | 216.68 | 176.92 | 137.04 | 96.90 | 68.52 | 55.95 | 43.34
Conductor
Initial temperature
θki
°C
70.0
Final temperature
θkf
°C
250.0
Constant depending on the material
Kk
A.s½/mm²
225.6
Reciprocal of temp. coefficient of resistance
βk
K
234
Specific heat 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
Area of current carrying component
Sk
mm²
630.00
Imperfect thermal contact 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 of adjacent material
σki
J/K.m³
2.40e+06
Screen
Permissible short-circuit current
Ik,sc
kA
22.55 | 16.27 | 13.49 | 10.69 | 7.87 | 5.86 | 4.96 | 4.05
Short-circuit current (adiabatic basis)
IkAD
kA
21.38 | 15.12 | 12.35 | 9.56 | 6.76 | 4.78 | 3.90 | 3.02
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 8
Initial temperature
θki
°C
Final temperature
θkf
°C
65.0
200.0
½
Constant depending on the material
Kk
A.s /mm²
225.6
Reciprocal of temp. coefficient of resistance
βk
K
234
Specific heat 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
Area of current carrying component
Sk
mm²
0.665 x 74
Imperfect thermal contact factor
Fk
-
0.7
½
Thermal property constant A
Ak
(mm²/s)
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 of adjacent material
σki
J/K.m³
2.00e+06
Sheath
Permissible short-circuit current
Ik,sh
kA
17.00 | 12.80 | 10.92 | 9.03 | 7.10 | 5.69 | 5.04 | 4.36
Short-circuit current (adiabatic basis)
IkAD
kA
14.19 | 10.03 | 8.19 | 6.35 | 4.49 | 3.17 | 2.59 | 2.01
Initial temperature
θki
°C
Final temperature
θkf
°C
65.0
150.0
½
Constant depending on the material
Kk
A.s /mm²
148.1
Reciprocal of temp. coefficient of resistance
βk
K
228
Specific heat 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
Area of current carrying component
Sk
mm²
60.154
Imperfect thermal contact factor
Fk
-
0.9
½
Thermal contact factor
Mk
s
1.012
Thickness of screen, sheath or armour
δk
mm
0.25
Thermal resistivity of the media above
ρk2
K.m/W
6.0
Thermal resistivity of the media below
ρk3
K.m/W
3.5
Specific heat of media below
σk2
J/K.m³
2.00e+06
Specific heat of media above
σk3
J/K.m³
2.40e+06
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 9
System B
Ampacity
Name of cable
N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV
Permissible current rating
Ic
A
450.0
Operating voltage
Uo
kV
110.0
System frequency
f
Hz
50.0
Number of cables in system
Nc
-
3
Number of conductors combined
ncc
-
1
Apparent power at injecting point
SG
kW
85737
Temperature of conductor
θc
°C
1: 54.4 | 2: 51.5 | 3: 54.0
Temperature of screen/sheath
θs
°C
1: 50.8 | 2: 47.9 | 3: 50.4
External temperature of cable
θe
°C
1: 50.3 | 2: 47.5 | 3: 50.0
Temperature rise of conductor
Δθc
K
1: 17.5 | 2: 16.3 | 3: 16.4
Temperature rise by dielectric losses
Δθd
K
1: 0.5 | 2: 0.5 | 3: 0.5
Critical soil temperature rise
Δθx
K
0.0
Temperature rise by other buried cables
Δθp
K
1: 22.0 | 2: 20.2 | 3: 22.6
Conductor losses
Wc
W/m
1: 7.077 | 2: 7.016 | 3: 7.069
Dielectric losses
Wd
W/m
1: 0.235 | 2: 0.235 | 3: 0.235
Screen and sheath losses
Ws
W/m
1: 0.420 | 2: 0.099 | 3: 0.115
Armour losses and losses in steel pipe
WA
W/m
0.000
Ohmic losses per cable phase
WI
W/m
1: 7.496 | 2: 7.115 | 3: 7.183
Total losses per cable phase
Wt
W/m
1: 7.731 | 2: 7.350 | 3: 7.418
Total losses per cable
Wtot
W/m
1: 7.731 | 2: 7.350 | 3: 7.418
Total losses of cable system
Wsys
W/m
22.499
Temperatures
Temperature rises
Losses
Steady-State Load
Continuous load with load factor
LF
1.0
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 10
Arrangement
Center 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
Loss factor for sheath and screen
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
Substitution coefficient λ0 for eddy-currents
λ0
-
1: 0.00919 | 2: 0.00234 | 3: 0.0023
Substitution coefficient Δ1 for eddy-currents
Δ1
-
1: 0.000644 | 2: -0.0697 | 3: 0.0925
Substitution coefficient Δ2 for eddy-currents
Δ2
-
1: 0 | 2: 4.23e-05 | 3: 4.13e-05
Substitution coefficient m0 for eddy-currents
m0
Hz.m/Ω
1: 0.1394 | 2: 0.1409 | 3: 0.1396
Substitution coefficient β1 for eddy-currents
β1
-
118.1852
Substitution coefficient gs for eddy-currents
gs
-
1.0004
Thermal resistance to ambient
T4μ
K.m/W
1: 1.733 | 2: 1.672 | 3: 1.667
Steady-state thermal resistance
T4ss
K.m/W
1: 1.733 | 2: 1.672 | 3: 1.667
Other characteristics
Loss factors
Earthing
Earthing of cable screen/sheath
Single side
External thermal resistance
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 11
Transient thermal resistance
T4et
K.m/W
0.000
Thermal resistance to ambient of cable/duct
T4iii
K.m/W
1: 1.213 | 2: 1.126 | 3: 1.126
Substitution coefficient
u
-
25.870
Correction for backfill
T4db
K.m/W
1: 0.519 | 2: 0.546 | 3: 0.541
Number of loaded cables in backfill
Nb
-
1: 8.05 | 2: 8.47 | 3: 8.39
AC resistance of conductor
R
Ω/km
1: 0.0349 | 2: 0.0346 | 3: 0.0349
Skin effect factor of conductor
ys
-
1: 0.0749 | 2: 0.0763 | 3: 0.0751
Factor of skin effect on conductor
xs
-
1: 1.9777 | 2: 1.9876 | 3: 1.9790
Proximity effect factor of conductors
yp
-
1: 0.0128 | 2: 0.0130 | 3: 0.0128
Factor of proximity effect on conductor
xp
-
1: 1.9777 | 2: 1.9876 | 3: 1.9790
DC resistance of conductor
Rc
Ω/km
1: 0.0321 | 2: 0.0318 | 3: 0.0321
Resistance of screen at operating temp.
Rsc
Ω/km
1: 0.3929 | 2: 0.3890 | 3: 0.3924
Resistance of sheath at operating temp.
Rsh
Ω/km
1: 0.5282 | 2: 0.5228 | 3: 0.5275
Resistance of screen and sheath in parallel
Rs
Ω/km
1: 0.2253 | 2: 0.2230 | 3: 0.2250
Estress
kV
5.172 / 2.440
Radius to point x in insulation
rx
mm
16.35 / 34.65
Phase-to-ground voltage
Ue
kV
63.51
Radius below the insulation
rF
mm
16.35
Radius of the insulation
rI
mm
34.65
Cb
µF/km
0.1852
Conductor resistance
Electrical parameters
Resistances
Electrical stress
Electrical stress on inner/outer side of
insulation
Capacitance
Capacitance of insulation
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 12
Vacuum permittivity
ε0
F/m
8.85419e-12
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
Inductance of phase 1
L1
mH/km
(0.4902+0j)
Inductance of phase 2
L2
mH/km
(0.5595+0.2401j)
Inductance of phase 3
L3
mH/km
(0.5595-0.2401j)
Mean inductance of the phases
Lm
mH/km
0.5364
Vacuum permeability
μ0
H/m
1.25664e-06
Distance between phases
a12,23,3
mm
135.100 / 270.200 / 135.100
Inductance
1
Geometric mean radius
GMR
mm
11.649
Geometric mean radius factor
KGMR
-
0.774
Number of wires in conductor
ncw
-
91
Reactance of conductor
Xc
Ω/km
0.1685
Reactance of screen/sheath
Xs
Ω/km
0.0792
Mutual reactance
Xm
Ω/km
0.0436
Reduction factor
RF
-
1: 0.9434 | 2: 0.9423 | 3: 0.9433
Voltage drop
Vdrop
V/A/km
1: 0.1817 | 2: 0.1812 | 3: 0.1816
Positive sequence impedance
Zpos
Ω/km
(0.0349+0.1685j)
Negative sequence impedance
Zneg
Ω/km
(0.0349+0.1685j)
Admittance
Y
S/km
(1.18-5.6898j)
Surge Impedance
SI
Ω
53.82
Reactance
Impedance and Admittance
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
Surge velocity of propagation
2018-05-31 22:12 / page 13
cSI
km/s
189605.4
Conductance
G
S/km
1.18
Susceptance
B
S/km
-5.6898
Zero sequence impedance
Z0
Ω/km
(0.0306+0.0748j)
Zero sequence resistance
R0
Ω/km
0.0306
Resistance of screen and sheath at 20°C
Rso
Ω/km
0.2007
Zero sequence reactance
X0
Ω/km
0.0748
Conductance and Susceptance
Zero sequence impedance
Short circuit currents
Duration of short-circuit
tk
s
0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Permissible short-circuit current
Ik,c
kA
324.32 | 229.65 | 187.70 | 145.64 | 103.30 | 73.35 | 60.09 | 46.78
Short-circuit current (adiabatic basis)
IkAD
kA
323.24 | 228.57 | 186.62 | 144.56 | 102.22 | 72.28 | 59.02 | 45.71
Conductor
Initial temperature
θki
°C
54.0
Final temperature
θkf
°C
250.0
Constant depending on the material
Kk
A.s½/mm²
225.6
Reciprocal of temp. coefficient of resistance
βk
K
234
Specific heat 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
Area of current carrying component
Sk
mm²
630.00
Imperfect thermal contact 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 of adjacent material
σki
J/K.m³
2.40e+06
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 14
Screen
Permissible short-circuit current
Ik,sc
kA
24.01 | 17.33 | 14.36 | 11.39 | 8.38 | 6.24 | 5.28 | 4.31
Short-circuit current (adiabatic basis)
IkAD
kA
22.77 | 16.10 | 13.15 | 10.18 | 7.20 | 5.09 | 4.16 | 3.22
Initial temperature
θki
°C
51.0
Final temperature
θkf
°C
200.0
Constant depending on the material
Kk
A.s½/mm²
225.6
Reciprocal of temp. coefficient of resistance
βk
K
234
Specific heat 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
Area of current carrying component
Sk
mm²
0.665 x 74
Imperfect thermal contact 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 of adjacent material
σki
J/K.m³
2.00e+06
Sheath
Permissible short-circuit current
Ik,sh
kA
18.63 | 14.02 | 11.97 | 9.89 | 7.78 | 6.23 | 5.52 | 4.78
Short-circuit current (adiabatic basis)
IkAD
kA
15.55 | 10.99 | 8.98 | 6.95 | 4.92 | 3.48 | 2.84 | 2.20
Initial temperature
θki
°C
51.0
Final temperature
θkf
°C
150.0
Constant depending on the material
Kk
A.s½/mm²
148.1
Reciprocal of temp. coefficient of resistance
βk
K
228
Specific heat 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
Area of current carrying component
Sk
mm²
60.154
Imperfect thermal contact 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 media above
ρk2
K.m/W
6.0
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 15
Thermal resistivity of the media below
ρk3
K.m/W
3.5
Specific heat of media below
σk2
J/K.m³
2.00e+06
Specific heat of media above
σk3
J/K.m³
2.40e+06
System C
Ampacity
Name of cable
N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV
Permissible current rating
Ic
A
600.0
Operating voltage
Uo
kV
110.0
System frequency
f
Hz
16.7
Number of cables in system
Nc
-
2
Number of conductors combined
ncc
-
1
Apparent power at injecting point
SG
kW
66000
Temperature of conductor
θc
°C
1: 60.6 | 2: 60.6
Temperature of screen/sheath
θs
°C
1: 54.5 | 2: 54.6
External temperature of cable
θe
°C
1: 53.8 | 2: 53.9
Mean temperature of the medium in the
θm
°C
1: 51.7 | 2: 51.8
Internal temperature of duct
θdi
°C
1: 49.6 | 2: 49.7
External temperature of duct
θde
°C
1: 48.8 | 2: 48.9
Temperature rise of conductor
Δθc
K
1: 24.2 | 2: 24.2
Temperature rise by dielectric losses
Δθd
K
1: 0.1 | 2: 0.1
Critical soil temperature rise
Δθx
K
0.0
Temperature rise by other buried cables
Δθp
K
1: 21.3 | 2: 21.4
Conductor losses
Wc
W/m
1: 11.918 | 2: 11.921
Dielectric losses
Wd
W/m
1: 0.059 | 2: 0.059
Screen and sheath losses
Ws
W/m
1: 0.019 | 2: 0.019
Armour losses and losses in steel pipe
WA
W/m
0.000
Temperatures
duct
Temperature rises
Losses
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 16
Ohmic losses per cable phase
WI
W/m
1: 11.938 | 2: 11.941
Total losses per cable phase
Wt
W/m
1: 11.997 | 2: 11.999
Total losses per cable
Wtot
W/m
1: 11.997 | 2: 11.999
Total losses of cable system
Wsys
W/m
23.996
Steady-State Load
Continuous load with load factor
LF
1.0
Arrangement
Material of duct pipe
Md
-
Plastic (PVC)
Inside / outside diameter of duct
Did/Dod
mm
140.0 / 150.0
Thermal resistivity of duct material
ρd
K.m/W
6.0
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
-100.0 / 1600.0
Center position of duct 2
x2 / y2
mm
100.0 / 1600.0
Separation of conductors in a system
sc
mm
200.00
Loss factor for sheath and screen
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
Other characteristics
Loss factors
Earthing
Earthing of cable screen/sheath
Single side
External thermal resistance
Thermal resistance to ambient
T4μ
K.m/W
1.039
Steady-state thermal resistance
T4ss
K.m/W
1.039
Transient thermal resistance
T4et
K.m/W
0.000
Thermal resistance of medium in the duct
T4i
K.m/W
1: 0.354 | 2: 0.354
Thermal resistance of the duct wall
T4ii
K.m/W
0.066
Thermal resistance to ambient of cable/duct
T4iii
K.m/W
1.039
Mutual heating coefficient
Feq
-
16.031
Substitution coefficient
u
-
21.333
Conductor resistance
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 17
AC resistance of conductor
R
Ω/km
1: 0.0331 | 2: 0.0331
Skin effect factor of conductor
ys
-
1: 0.0085 | 2: 0.0085
Factor of skin effect on conductor
xs
-
1: 1.1310 | 2: 1.1309
Proximity effect factor of conductors
yp
-
1: 0.0006 | 2: 0.0006
Factor of proximity effect on conductor
xp
-
1: 1.1310 | 2: 1.1309
DC resistance of conductor
Rc
Ω/km
1: 0.0328 | 2: 0.0328
Resistance of screen at operating temp.
Rsc
Ω/km
1: 0.3980 | 2: 0.3981
Resistance of sheath at operating temp.
Rsh
Ω/km
1: 0.5352 | 2: 0.5354
Resistance of screen and sheath in parallel
Rs
Ω/km
1: 0.2283 | 2: 0.2283
Estress
kV
4.479 / 2.113
Radius to point x in insulation
rx
mm
16.35 / 34.65
Phase-to-ground voltage
Ue
kV
55.00
Radius below the insulation
rF
mm
16.35
Radius of the insulation
rI
mm
34.65
Capacitance of insulation
Cb
µF/km
0.1852
Vacuum permittivity
ε0
F/m
8.85419e-12
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
Lm
mH/km
0.5686
Electrical parameters
Resistances
Electrical stress
Electrical stress on inner/outer side of
insulation
Capacitance
Inductance
Mean inductance of the phases
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 18
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
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: 0.9886 | 2: 0.9887
Voltage drop
Vdrop
V/A/km
1: 0.1116 | 2: 0.1116
Positive sequence impedance
Zpos
Ω/km
(0.0331+0.0597j)
Negative sequence impedance
Zneg
Ω/km
(0.0331+0.0597j)
Admittance
Y
S/km
(7.1105-12.8148j)
Surge Impedance
SI
Ω
55.41
Surge velocity of propagation
cSI
km/s
189605.4
Conductance
G
S/km
7.1105
Susceptance
B
S/km
-12.8148
Zero sequence impedance
Z0
Ω/km
(0.0287+0.025j)
Zero sequence resistance
R0
Ω/km
0.0287
Resistance of screen and sheath at 20°C
Rso
Ω/km
0.2007
Zero sequence reactance
X0
Ω/km
0.0250
Reactance
Impedance and Admittance
Conductance and Susceptance
Zero sequence impedance
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 19
Geometric mean diameter
GMD
mm
48.267
Constant relating to conductor formation
KBICC
-
0.0512
Short circuit currents
Duration of short-circuit
tk
s
0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Permissible short-circuit current
Ik,c
kA
317.59 | 224.88 | 183.81 | 142.61 | 101.15 | 71.83 | 58.84 | 45.81
Short-circuit current (adiabatic basis)
IkAD
kA
316.53 | 223.82 | 182.75 | 141.56 | 100.10 | 70.78 | 57.79 | 44.76
Conductor
Initial temperature
θki
°C
Final temperature
θkf
°C
61.0
250.0
½
Constant depending on the material
Kk
A.s /mm²
225.6
Reciprocal of temp. coefficient of resistance
βk
K
234
Specific heat 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
Area of current carrying component
Sk
mm²
630.00
Imperfect thermal contact factor
Fk
-
0.9
½
Thermal property constant A
Ak
(mm²/s)
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 of adjacent material
σki
J/K.m³
2.40e+06
Screen
Permissible short-circuit current
Ik,sc
kA
23.63 | 17.05 | 14.14 | 11.21 | 8.25 | 6.14 | 5.20 | 4.24
Short-circuit current (adiabatic basis)
IkAD
kA
22.41 | 15.84 | 12.94 | 10.02 | 7.09 | 5.01 | 4.09 | 3.17
Initial temperature
θki
°C
Final temperature
θkf
°C
55.0
200.0
½
Constant depending on the material
Kk
A.s /mm²
225.6
Reciprocal of temp. coefficient of resistance
βk
K
234
Specific heat 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
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 20
Area of current carrying component
Sk
mm²
0.665 x 74
Imperfect thermal contact 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 of adjacent material
σki
J/K.m³
2.00e+06
Sheath
Permissible short-circuit current
Ik,sh
kA
18.21 | 13.70 | 11.70 | 9.67 | 7.60 | 6.09 | 5.40 | 4.67
Short-circuit current (adiabatic basis)
IkAD
kA
15.20 | 10.75 | 8.77 | 6.80 | 4.81 | 3.40 | 2.77 | 2.15
Initial temperature
θki
°C
55.0
Final temperature
θkf
°C
150.0
Constant depending on the material
Kk
A.s½/mm²
148.1
Reciprocal of temp. coefficient of resistance
βk
K
228
Specific heat 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
Area of current carrying component
Sk
mm²
60.154
Imperfect thermal contact 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 media above
ρk2
K.m/W
6.0
Thermal resistivity of the media below
ρk3
K.m/W
3.5
Specific heat of media below
σk2
J/K.m³
2.00e+06
Specific heat of media above
σk3
J/K.m³
2.40e+06
System D
Ampacity
Name 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 cables in system
Nc
-
3
Number of conductors combined
ncc
-
3
Apparent power at injecting point
SG
kW
8314
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 21
Temperatures
Temperature of conductor
θc
°C
51.0
Temperature of screen/sheath
θs
°C
49.4
External temperature of cable
θe
°C
49.0
Mean temperature of the medium in the
θm
°C
46.2
Internal temperature of duct
θdi
°C
43.4
External temperature of duct
θde
°C
42.7
Temperature rise of conductor
Δθc
K
16.3
Temperature rise by dielectric losses
Δθd
K
0.2
Critical soil temperature rise
Δθx
K
0.0
Temperature rise by other buried cables
Δθp
K
19.7
Conductor losses
Wc
W/m
4.979
Dielectric losses
Wd
W/m
0.055
Screen and sheath losses
Ws
W/m
0.191
Armour losses and losses in steel pipe
WA
W/m
0.000
Ohmic losses per cable phase
WI
W/m
5.170
Total losses per cable phase
Wt
W/m
5.224
Total losses per cable
Wtot
W/m
5.224
Total losses of cable system
Wsys
W/m
15.673
duct
Temperature rises
Losses
Steady-State Load
Continuous load with load factor
LF
1.0
Arrangement
Material of duct pipe
Md
-
Plastic (LDPE/HDPE)
Inside / outside diameter of duct
Did/Dod
mm
120.0 / 130.0
Thermal resistivity of duct material
ρd
K.m/W
3.5
Specific heat capacity of duct material
σd
J/K.m³
2400000.0
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 22
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
Loss factor for sheath and screen
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
Other characteristics
Loss factors
Earthing
Earthing of cable screen/sheath
Both sides
Variation of cable spacing
No variation
External thermal resistance
Thermal resistance to ambient
T4μ
K.m/W
0.510
Steady-state thermal resistance
T4ss
K.m/W
0.510
Transient thermal resistance
T4et
K.m/W
0.000
Thermal resistance of medium in the duct
T4i
K.m/W
0.360
Thermal resistance of the duct wall
T4ii
K.m/W
0.045
Thermal resistance to ambient of cable/duct
T4iii
K.m/W
0.510
Substitution coefficient
u
-
12.308
AC resistance of conductor
R
Ω/km
0.0864
Skin effect factor of conductor
ys
-
0.0114
Factor of skin effect on conductor
xs
-
1.2189
Proximity effect factor of conductors
yp
-
0.0106
Factor of proximity effect on conductor
xp
-
1.2189
Rc
Ω/km
0.0846
Conductor resistance
Electrical parameters
Resistances
DC resistance of conductor
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 23
Resistance of screen at operating temp.
Rsc
Ω/km
0.8036
Resistance of screen and sheath in parallel
Rs
Ω/km
0.8036
Estress
kV
2.618 / 1.709
Radius to point x in insulation
rx
mm
10.35 / 15.85
Phase-to-ground voltage
Ue
kV
11.55
Radius below the insulation
rF
mm
10.35
Radius of the insulation
rI
mm
15.85
Capacitance of insulation
Cb
µF/km
0.3263
Vacuum permittivity
ε0
F/m
8.85419e-12
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
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
Reactance of conductor
Xc
Ω/km
0.1079
Reactance of screen/sheath
Xs
Ω/km
0.0517
Reduction factor
RF
-
0.9979
Voltage drop
Vdrop
V/A/km
0.2162
Electrical stress
Electrical stress on inner/outer side of
insulation
Capacitance
Inductance
Reactance
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 24
Impedance and Admittance
Positive sequence impedance
Zpos
Ω/km
(0.0864+0.1079j)
Negative sequence impedance
Zneg
Ω/km
(0.0864+0.1079j)
Admittance
Y
S/km
(4.5207-5.6445j)
Surge Impedance
SI
Ω
32.45
Surge velocity of propagation
cSI
km/s
189605.4
Conductance
G
S/km
4.5207
Susceptance
B
S/km
-5.6445
Zero sequence impedance
Z0
Ω/km
(0.077+0.0563j)
Zero sequence resistance
R0
Ω/km
0.0770
Resistance of screen and sheath at 20°C
Rso
Ω/km
0.7204
Zero sequence reactance
X0
Ω/km
0.0563
Geometric mean diameter
GMD
mm
22.811
Constant relating to conductor formation
KBICC
-
0.0528
Conductance and Susceptance
Zero sequence impedance
Short circuit currents
Duration of short-circuit
tk
s
0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Permissible short-circuit current
Ik,c
kA
125.23 | 88.75 | 72.59 | 56.38 | 40.06 | 28.52 | 23.41 | 18.28
Short-circuit current (adiabatic basis)
IkAD
kA
124.56 | 88.08 | 71.91 | 55.70 | 39.39 | 27.85 | 22.74 | 17.62
Conductor
Initial temperature
θki
°C
51.0
Final temperature
θkf
°C
250.0
Constant depending on the material
Kk
A.s½/mm²
225.6
Reciprocal of temp. coefficient of resistance
βk
K
234
Specific heat 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
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 25
Area of current carrying component
Sk
mm²
Imperfect thermal contact factor
Fk
-
240.00
0.9
½
Thermal property constant A
Ak
(mm²/s)
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 of adjacent material
σki
J/K.m³
2.40e+06
Screen
Permissible short-circuit current
Ik,sc
kA
10.01 | 7.25 | 6.02 | 4.79 | 3.54 | 2.65 | 2.25 | 1.85
Short-circuit current (adiabatic basis)
IkAD
kA
9.41 | 6.65 | 5.43 | 4.21 | 2.97 | 2.10 | 1.72 | 1.33
Initial temperature
θki
°C
Final temperature
θkf
°C
49.0
150.0
½
Constant depending on the material
Kk
A.s /mm²
225.6
Reciprocal of temp. coefficient of resistance
βk
K
234
Specific heat 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
Area of current carrying component
Sk
mm²
0.665 x 36
Imperfect thermal contact factor
Fk
-
0.7
½
Thermal property constant A
Ak
(mm²/s)
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 of adjacent material
σki
J/K.m³
2.20e+06
System E
Ampacity
Name of cable
33kV, XKDT-FT 3x150 mm2 RM35
Permissible current rating
Ic
A
200.0
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 26
Operating voltage
Uo
kV
30.0
System frequency
f
Hz
50.0
Number of cables in system
Nc
-
1
Number of conductors combined
ncc
-
3
Apparent power at injecting point
SG
kW
6000
Temperature of conductor
θc
°C
62.2
Temperature of screen/sheath
θs
°C
55.3
Temperature of armour
θar
°C
55.3
Temperature of first armour layer
θar,1
°C
55.3
Temperature of second armour layer
θar,2
°C
55.3
External temperature of cable
θe
°C
54.0
Mean temperature of the medium in the
θm
°C
51.0
Internal temperature of duct
θdi
°C
48.0
External temperature of duct
θde
°C
47.0
Temperature rise of conductor
Δθc
K
26.8
Temperature rise by dielectric losses
Δθd
K
0.3
Critical soil temperature rise
Δθx
K
0.0
Temperature rise by other buried cables
Δθp
K
20.4
Conductor losses
Wc
W/m
5.817
Dielectric losses
Wd
W/m
0.072
Screen and sheath losses
Ws
W/m
0.132
Armour losses and losses in steel pipe
WA
W/m
0.269
Ohmic losses per cable phase
WI
W/m
6.218
Temperatures
duct
Temperature rises
Losses
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 27
Total losses per cable phase
Wt
W/m
6.290
Total losses per cable
Wtot
W/m
18.870
Total losses of cable system
Wsys
W/m
18.870
Steady-State Load
Continuous load with load factor
LF
1.0
Arrangement
Material of duct pipe
Md
-
Polypropylene (PP)
Inside / outside diameter of duct
Did/Dod
mm
140.0 / 150.0
Thermal resistivity of duct material
ρd
K.m/W
4.5
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
Loss factor for sheath and screen
λ1
-
0.023
Loss factor by circulating currents
λ1c
-
0.023
Loss factor for solid bonding
λ1cb
-
0.023
Loss factor for single point bonding
λ1es
-
0.051
Loss factor for armour
λ2
-
0.046
Other characteristics
Loss factors
Earthing
Earthing of cable screen/sheath
Both sides
Variation of cable spacing
No variation
External thermal resistance
Thermal resistance to ambient
T4μ
K.m/W
0.617
Steady-state thermal resistance
T4ss
K.m/W
0.617
Transient thermal resistance
T4et
K.m/W
0.000
Thermal resistance of medium in the duct
T4i
K.m/W
0.319
Thermal resistance of the duct wall
T4ii
K.m/W
0.049
Thermal resistance to ambient of cable/duct
T4iii
K.m/W
0.404
Mutual heating coefficient
Feq
-
1.000
Substitution coefficient
u
-
12.000
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 28
Correction for backfill
T4db
K.m/W
0.213
Number of loaded cables in backfill
Nb
-
3.30
AC resistance of conductor
R
Ω/km
0.1454
Skin effect factor of conductor
ys
-
0.0039
Factor of skin effect on conductor
xs
-
0.9324
Proximity effect factor of conductors
yp
-
0.0021
Factor of proximity effect on conductor
xp
-
0.9324
DC resistance of conductor
Rc
Ω/km
0.1446
Resistance of screen at operating temp.
Rsc
Ω/km
0.5716
Resistance of screen and sheath in parallel
Rs
Ω/km
0.5716
Resistance of armour at operating temp.
RA
Ω/km
0.6339
Estress
kV
3.141 / 1.521
Radius to point x in insulation
rx
mm
7.60 / 15.70
Phase-to-ground voltage
Ue
kV
17.32
Radius below the insulation
rF
mm
7.60
Radius of the insulation
rI
mm
15.70
Capacitance of insulation
Cb
µF/km
0.1917
Vacuum permittivity
ε0
F/m
8.85419e-12
Capacitive load current
IC
A/km
1.04
Charging capacity
CC
kvar/km
54.20
Conductor resistance
Electrical parameters
Resistances
Electrical stress
Electrical stress on inner/outer side of
insulation
Capacitance
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
Capacitive earth short-circuit current
2018-05-31 22:12 / page 29
ICe
A/km
3.13
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
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
Voltage drop
Vdrop
V/A/km
0.3219
Positive sequence impedance
Zpos
Ω/km
(0.1454+0.1261j)
Negative sequence impedance
Zneg
Ω/km
(0.1454+0.1261j)
Admittance
Y
S/km
(3.9252-3.4036j)
Surge Impedance
SI
Ω
45.76
Surge velocity of propagation
cSI
km/s
189605.4
Conductance
G
S/km
3.9252
Susceptance
B
S/km
-3.4036
Zero sequence impedance
Z0
Ω/km
(0.1249+0.0825j)
Zero sequence resistance
R0
Ω/km
0.1249
Inductance
Reactance
Impedance and Admittance
Conductance and Susceptance
Zero sequence impedance
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 30
Resistance of screen and sheath at 20°C
Rso
Ω/km
0.5019
Zero sequence reactance
X0
Ω/km
0.0825
Geometric mean diameter
GMD
mm
20.489
Constant relating to conductor formation
KBICC
-
0.0528
Short circuit currents
Duration of short-circuit
tk
s
0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Permissible short-circuit current
Ik,c
kA
75.48 | 53.52 | 43.79 | 34.04 | 24.22 | 17.27 | 14.19 | 11.11
Short-circuit current (adiabatic basis)
IkAD
kA
74.97 | 53.01 | 43.28 | 33.53 | 23.71 | 16.76 | 13.69 | 10.60
Conductor
Initial temperature
θki
°C
62.0
Final temperature
θkf
°C
250.0
Constant depending on the material
Kk
A.s½/mm²
225.6
Reciprocal of temp. coefficient of resistance
βk
K
234
Specific heat 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
Area of current carrying component
Sk
mm²
150.00
Imperfect thermal contact 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 of adjacent material
σki
J/K.m³
2.40e+06
Screen
Permissible short-circuit current
Ik,sc
kA
16.47 | 11.89 | 9.86 | 7.82 | 5.76 | 4.29 | 3.63 | 2.97
Short-circuit current (adiabatic basis)
IkAD
kA
15.60 | 11.03 | 9.01 | 6.98 | 4.93 | 3.49 | 2.85 | 2.21
Initial temperature
θki
°C
55.0
Final temperature
θkf
°C
200.0
Constant depending on the material
Kk
A.s½/mm²
225.6
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 31
Reciprocal of temp. coefficient of resistance
βk
K
234
Specific heat 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
Area of current carrying component
Sk
mm²
0.636 x 54
Imperfect thermal contact factor
Fk
-
0.7
½
Thermal property constant A
Ak
(mm²/s)
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 of adjacent material
σki
J/K.m³
2.00e+06
Armour
Permissible short-circuit current
Ik,ar1
kA
48.36 | 34.44 | 28.27 | 22.10 | 15.90 | 11.56 | 9.68 | 7.86
Short-circuit current (adiabatic basis)
IkAD
kA
47.56 | 33.63 | 27.46 | 21.27 | 15.04 | 10.64 | 8.68 | 6.73
Initial temperature
θki
°C
Final temperature
θkf
°C
55.0
200.0
½
Constant depending on the material
Kk
A.s /mm²
78.23
Reciprocal of temp. coefficient of resistance
βk
K
202
Specific heat 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
Area of current carrying component
Sk
mm²
288.000
Imperfect thermal contact factor
Fk
-
0.0
½
Thermal contact factor
Mk
s
0.08561
Thickness of screen, sheath or armour
δk
mm
1.2
Thermal resistivity of the media above
ρk2
K.m/W
6.0
Thermal resistivity of the media below
ρk3
K.m/W
5.0
Specific heat of media below
σk2
J/K.m³
1.70e+06
Specific heat of media above
σk3
J/K.m³
1.70e+06
System F
Ampacity
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 32
Name of cable
SOLARpower Alu-ATA 1x240/31
Permissible current rating
Ic
A
2 x 189.6 (379.1)
Operating voltage
Uo
kV
1.0
System frequency
f
Hz
0.0
Number of cables in system
Nc
-
4 (2 x 2 in common duct)
Number of conductors combined
ncc
-
4
Apparent power at injecting point
SG
kW
379.1
Temperature of conductor
θc
°C
60.0
Temperature of screen/sheath
θs
°C
59.1
External temperature of cable
θe
°C
58.7
Mean temperature of the medium in the
θm
°C
54.6
Internal temperature of duct
θdi
°C
50.5
External temperature of duct
θde
°C
49.3
Temperature rise of conductor
Δθc
K
23.6
Temperature rise by dielectric losses
Δθd
K
0.0
Critical soil temperature rise
Δθx
K
0.0
Temperature rise by other buried cables
Δθp
K
21.4
Conductor losses
Wc
W/m
5.216
Dielectric losses
Wd
W/m
0.000
Screen and sheath losses
Ws
W/m
0.000
Armour losses and losses in steel pipe
WA
W/m
0.000
Ohmic losses per cable phase
WI
W/m
5.216
Total losses per cable phase
Wt
W/m
5.216
Total losses per cable
Wtot
W/m
5.216
Temperatures
duct
Temperature rises
Losses
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
Total losses of cable system
2018-05-31 22:12 / page 33
Wsys
W/m
20.867
Steady-State Load
Continuous load with load factor
LF
1.0
Arrangement
Material of duct pipe
Md
-
Polypropylene (PP)
Inside / outside diameter of duct
Did/Dod
mm
120.0 / 130.0
Thermal resistivity of duct material
ρd
K.m/W
4.5
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
Loss factor for sheath and screen
λ1
-
0.000
Loss factor by circulating currents
λ1c
-
0.000
Other characteristics
Loss factors
Earthing
Earthing of cable screen/sheath
Both sides
Variation of cable spacing
No variation
External thermal resistance
Thermal resistance to ambient
T4μ
K.m/W
0.617
Steady-state thermal resistance
T4ss
K.m/W
0.617
Transient thermal resistance
T4et
K.m/W
0.000
Thermal resistance of medium in the duct
T4i
K.m/W
0.396
Thermal resistance of the duct wall
T4ii
K.m/W
0.057
Thermal resistance to ambient of cable/duct
T4iii
K.m/W
0.424
Substitution coefficient
u
-
14.000
Correction for backfill
T4db
K.m/W
0.192
Number of loaded cables in backfill
Nb
-
2.98
AC resistance of conductor
R
Ω/km
0.1452
Skin effect factor of conductor
ys
-
0.0000
Factor of skin effect on conductor
xs
-
0.0000
Conductor resistance
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 34
Proximity effect factor of conductors
yp
-
0.0000
Factor of proximity effect on conductor
xp
-
0.0000
DC resistance of conductor
Rc
Ω/km
0.1452
Resistance of screen at operating temp.
Rsc
Ω/km
0.8451
Resistance of screen and sheath in parallel
Rs
Ω/km
0.8451
Estress
kV
0.335 / 0.276
Radius to point x in insulation
rx
mm
8.97 / 10.88
Phase-to-ground voltage
Ue
kV
0.58
Radius below the insulation
rF
mm
8.97
Radius of the insulation
rI
mm
10.88
Capacitance of insulation
Cb
µF/km
0.7243
Vacuum permittivity
ε0
F/m
8.85419e-12
Lm
mH/km
0.3129
Electrical parameters
Resistances
Electrical stress
Electrical stress on inner/outer side of
insulation
Capacitance
Inductance
Mean inductance of the phases
Short circuit currents
Duration of short-circuit
tk
s
0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Permissible short-circuit current
Ik,c
kA
80.61 | 57.18 | 46.79 | 36.38 | 25.90 | 18.48 | 15.20 | 11.90
Short-circuit current (adiabatic basis)
IkAD
kA
80.02 | 56.58 | 46.20 | 35.78 | 25.30 | 17.89 | 14.61 | 11.32
Conductor
Initial temperature
θki
°C
Final temperature
θkf
°C
60.0
250.0
½
Constant depending on the material
Kk
A.s /mm²
148.1
Reciprocal of temp. coefficient of resistance
βk
K
228
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 35
Specific heat 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
-
1.052
Area of current carrying component
Sk
mm²
240.00
Imperfect thermal contact 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 of adjacent material
σki
J/K.m³
2.40e+06
Screen
Permissible short-circuit current
Ik,sc
kA
11.34 | 8.19 | 6.79 | 5.40 | 3.99 | 3.01 | 2.58 | 2.17
Short-circuit current (adiabatic basis)
IkAD
kA
10.75 | 7.60 | 6.21 | 4.81 | 3.40 | 2.40 | 1.96 | 1.52
Initial temperature
θki
°C
59.0
Final temperature
θkf
°C
180.0
Constant depending on the material
Kk
A.s½/mm²
148.1
Reciprocal of temp. coefficient of resistance
βk
K
228
Specific heat 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
Area of current carrying component
Sk
mm²
38.720
Imperfect thermal contact 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 media above
ρk2
K.m/W
6.0
Thermal resistivity of the media below
ρk3
K.m/W
3.5
Specific heat of media below
σk2
J/K.m³
2.00e+06
Specific heat of media above
σk3
J/K.m³
2.40e+06
System G
Ampacity
Name of cable
FO Rampion
Permissible current rating
Ic
A
0.1
Operating voltage
Uo
kV
0.4
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 36
System frequency
f
Hz
50.0
Number of cables in system
Nc
-
1
Number of conductors combined
ncc
-
1
Apparent power at injecting point
SG
kW
0.040
Temperature of conductor
θc
°C
48.1
Temperature of screen/sheath
θs
°C
48.1
External temperature of cable
θe
°C
48.1
Mean temperature of the medium in the
θm
°C
48.1
Internal temperature of duct
θdi
°C
48.1
External temperature of duct
θde
°C
48.1
Temperature rise of conductor
Δθc
K
4.4
Temperature rise by dielectric losses
Δθd
K
0.0
Critical soil temperature rise
Δθx
K
0.0
Temperature rise by other buried cables
Δθp
K
28.8
Conductor losses
Wc
W/m
0.001
Dielectric losses
Wd
W/m
0.000
Screen and sheath losses
Ws
W/m
0.000
Armour losses and losses in steel pipe
WA
W/m
0.000
Ohmic losses per cable phase
WI
W/m
0.001
Total losses per cable phase
Wt
W/m
0.001
Total losses per cable
Wtot
W/m
0.001
Total losses of cable system
Wsys
W/m
0.001
Temperatures
duct
Temperature rises
Losses
Steady-State Load
Continuous load with load factor
LF
1.0
Arrangement
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 37
Material of duct pipe
Md
-
Plastic (LDPE/HDPE)
Inside / outside diameter of duct
Did/Dod
mm
140.0 / 150.0
Thermal resistivity of duct material
ρd
K.m/W
3.5
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
Loss factor for sheath and screen
λ1
-
0.000
Loss factor by circulating currents
λ1c
-
0.000
Thermal resistance to ambient
T4μ
K.m/W
6787.531
Steady-state thermal resistance
T4ss
K.m/W
6787.531
Transient thermal resistance
T4et
K.m/W
0.000
Thermal resistance of medium in the duct
T4i
K.m/W
1.255
Thermal resistance of the duct wall
T4ii
K.m/W
0.038
Thermal resistance to ambient of cable/duct
T4iii
K.m/W
0.436
Mutual heating coefficient
Feq
-
1.000
Substitution coefficient
u
-
15.333
Correction for backfill
T4db
K.m/W
6787.096
Number of loaded cables in backfill
Nb
-
89463.77
AC resistance of conductor
R
Ω/km
63.9891
Skin effect factor of conductor
ys
-
0.0000
Factor of skin effect on conductor
xs
-
0.0443
Proximity effect factor of conductors
yp
-
0.0000
Factor of proximity effect on conductor
xp
-
0.0396
Other characteristics
Loss factors
Earthing
Earthing not considered for single phase
External thermal resistance
Conductor resistance
Electrical parameters
Resistances
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 38
DC resistance of conductor
Rc
Ω/km
63.9891
Resistance of screen at operating temp.
Rsc
Ω/km
83.3049
Resistance of screen and sheath in parallel
Rs
Ω/km
83.3049
Estress
kV
0.449 / 0.126
Radius to point x in insulation
rx
mm
0.70 / 2.50
Phase-to-ground voltage
Ue
kV
0.40
Radius below the insulation
rF
mm
0.70
Radius of the insulation
rI
mm
2.50
Capacitance of insulation
Cb
µF/km
0.1005
Vacuum permittivity
ε0
F/m
8.85419e-12
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
Electrical stress
Electrical stress on inner/outer side of
insulation
Capacitance
Short circuit currents
Duration of short-circuit
tk
s
0.1 | 0.2 | 0.3 | 0.5 | 1.0 | 2.0 | 3.0 | 5.0
Permissible short-circuit current
Ik,c
kA
0.16 | 0.12 | 0.10 | 0.08 | 0.06 | 0.05 | 0.04 | 0.04
Short-circuit current (adiabatic basis)
IkAD
kA
0.14 | 0.10 | 0.08 | 0.06 | 0.04 | 0.03 | 0.02 | 0.02
Conductor
Initial temperature
θki
°C
Final temperature
θkf
°C
48.0
160.0
½
Constant depending on the material
Kk
A.s /mm²
148.1
Reciprocal of temp. coefficient of resistance
βk
K
228
Specific heat of metallic component
σkc
J/K.m³
2.50e+06
Electrical resistivity of metallic component
ρk20
Ω.m
2.8264e-08
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 39
Heat loss allowance factor
εk
-
1.824
Area of current carrying component
Sk
mm²
0.50
Imperfect thermal contact 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 of adjacent material
σki
J/K.m³
2.40e+06
Screen
Permissible short-circuit current
Ik,sc
kA
0.71 | 0.51 | 0.42 | 0.33 | 0.24 | 0.17 | 0.14 | 0.12
Short-circuit current (adiabatic basis)
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
Constant depending on the material
Kk
A.s½/mm²
73.29
Reciprocal of temp. coefficient of resistance
βk
K
980
Specific heat 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
-
1.202
Area of current carrying component
Sk
mm²
8.639
Imperfect thermal contact factor
Fk
-
0.5
Thermal contact factor
Mk
s½
0.1102
Thickness of screen, sheath or armour
δk
mm
0.5
Thermal resistivity of the media above
ρk2
K.m/W
3.5
Thermal resistivity of the media below
ρk3
K.m/W
3.5
Specific heat of media below
σk2
J/K.m³
3.50e+00
Specific heat of media above
σk3
J/K.m³
2.40e+06
Heat dissipation of heat source
Whs
W/m
-40.00
Temperature of heat source
θhs
°C
15.26
System H
Heat sink
Arrangement parameters
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Title: Sample Calculation
2018-05-31 22:12 / page 40
x-coordinate
xhs
mm
1900.0
Depth of laying
Lc
mm
900.0
External diameter of heat source
Dhs
mm
100.0
Temperature rise by other buried cables
Δθp
K
23.07
Critical soil temperature rise
Δθx
K
0.00
Correction for backfill
T4db
K.m/W
0.000
Thermal resistance to ambient of cable/duct
T4iii
K.m/W
0.570
Mutual heating coefficient
Feq
-
1.000
Substitution coefficient
uhs
-
18.000
Heat dissipation of heat source
Whs
W/m
40.00
Temperature of heat source
θhs
°C
36.56
x-coordinate
xhs
mm
1700.0
Depth of laying
Lc
mm
700.0
External diameter of heat source
Dhs
mm
100.0
Temperature rise by other buried cables
Δθp
K
0.35
Critical soil temperature rise
Δθx
K
0.00
Correction for backfill
T4db
K.m/W
0.000
Thermal resistance to ambient of cable/duct
T4iii
K.m/W
0.530
Mutual heating coefficient
Feq
-
1.000
Substitution coefficient
uhs
-
14.000
Other characteristics
System I
Heat source
Arrangement parameters
Other characteristics
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 41
Cable: N2XS2Y 240Cu/25RCu mm2 20/12kV
Cable is used in following systems: D
General Data
Cable rated 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
Conductor
Number of conductors in cable
nc
-
1
Conductor cross-section
Ac
mm²
240.0
Material of conductor
Mc
-
Copper
Construction of conductor
cconstr
-
Round, stranded
Coating of wires
Rco
-
plain
Skin effect coefficient of conductor
ks
-
1.0
Proximity effect coefficient of conductor
kp
-
1.0
El. resistivity of conductor material
ρc
Ω.m
1.7241e-08
DC resistance of conductor at 20°C
Rco
Ω/km
0.0754
Temp. 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
Conductor tape thickness
tct
mm
0.1
Thickness of conductor shield
tcs
mm
0.8
Material of insulation
Mi
-
Crosslinked polyethylene (XLPE)
Insulation
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 42
Max. conductor temperature
θcmax
°C
90.0
Max. emergency overload temperature
θcmaxeo
°C
130.0
Max. short-circuit temperature
θcmaxsc
°C
250.0
Relative permittivity of insulation
ε
-
2.5000
Loss factor of insulation
tanδ
-
0.0040
Thermal resistivity of insulation
ρ1
K.m/W
3.5
Specific heat capacity of insulation material
σ1
J/K.m³
2400000.0
Thickness of insulation
tins
mm
5.5
Insulation thickness between conductors
t
mm
13.6000
Thickness of insulation screen
tis
mm
0.4
Thickness of screen bedding
tscb
mm
0.6
Specific heat capacity of screen bedding
σscb
J/K.m³
2000000.0
Screen
Type of screen
-
Round wires
Material of screen
Msc
-
Copper
Diameter of screen wires
tsc
mm
0.92
Number of screen wires
nsw
-
36
Resistance of screen at 20°C
Rsco
Ω/km
0.7204
Specific heat capacity of screen material
σsc
J/K.m³
3450000.0
Material of jacket
Mj
-
Polyethylene (LD/MDPE, ST3)
Thickness of jacket
tj
mm
2.45
Thermal resistivity of jacket
ρ3
K.m/W
3.5
Specific heat capacity of jacket material
σj
J/K.m³
2400000.0
External diameter of cable
De
mm
40.44
Thermal 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 first armour layer
T2,1
K.m/W
0.000
Thermal resistance of separation between armour layers
T2,2
K.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
Mass of cable
m
kg/m
3.30
Heat energy content
Hc
MJ/m
34.91
kWh/m
9.70
Permissible pull on conductor
fppc
N/mm²
60.0
Jacket
Internal thermal resistances
Mechanical
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Title: Sample Calculation
Permissible pull force on conductor
2018-05-31 22:12 / page 43
Fppc
daN
1440.0
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 44
Cable: N2XS(FL)2Y 630Cu/50RCu mm2 110/64kV
Cable is used in following systems: A, B, C
General Data
Cable rated 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
Conductor
Number of conductors in cable
nc
-
1
Conductor cross-section
Ac
mm²
630.0
Material of conductor
Mc
-
Copper
Construction of conductor
cconstr
-
Round, stranded
Coating of wires
Rco
-
plain
Skin effect coefficient of conductor
ks
-
1.0
Proximity effect coefficient of conductor
kp
-
1.0
El. resistivity of conductor material
ρc
Ω.m
1.7241e-08
DC resistance of conductor at 20°C
Rco
Ω/km
0.0283
Temp. 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
Conductor tape thickness
tct
mm
0.1
Thickness of conductor shield
tcs
mm
1.2
Material of insulation
Mi
-
Crosslinked polyethylene (XLPE)
Insulation
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 45
Max. conductor temperature
θcmax
°C
90.0
Max. emergency overload temperature
θcmaxeo
°C
130.0
Max. short-circuit temperature
θcmaxsc
°C
250.0
Relative permittivity of insulation
ε
-
2.5000
Loss factor of insulation
tanδ
-
0.0010
Thermal resistivity of insulation
ρ1
K.m/W
3.5
Specific heat capacity of insulation material
σ1
J/K.m³
2400000.0
Thickness of insulation
tins
mm
18.3
Insulation thickness between conductors
t
mm
41.2000
Thickness of insulation screen
tis
mm
1.0
Thickness of screen bedding
tscb
mm
1.0
Specific heat capacity of screen bedding
σscb
J/K.m³
2000000.0
Screen
Type of screen
-
Round wires
Material of screen
Msc
-
Copper
Diameter of screen wires
tsc
mm
0.92
Number of screen wires
nsw
-
74
Resistance of screen at 20°C
Rsco
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
Material of sheath
Msh
-
Aluminium
Thickness of the sheath
tsh
mm
0.25
-
No
Sheath
Corrugated sheath
Mean diameter of sheath
ds
mm
76.59
Mean external diameter of the sheath
Ds
mm
76.84
Resistance of sheath at 20°C
Rsho
Ω/km
0.4699
Specific heat capacity of sheath material
σsh
J/K.m³
2500000.0
Material of jacket
Mj
-
Polyethylene (LD/MDPE, ST3)
Thickness of jacket
tj
mm
4.10
Thermal resistivity of jacket
ρ3
K.m/W
3.5
Specific heat capacity of jacket material
σj
J/K.m³
2400000.0
External diameter of cable
De
mm
85.04
Thermal 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 first armour layer
T2,1
K.m/W
0.000
Thermal resistance of separation between armour layers
T2,2
K.m/W
0.000
Thermal resistance of jacket
T3
K.m/W
0.056
Jacket
Internal thermal resistances
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 46
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
Mass of cable
m
kg/m
10.73
Heat energy content
Hc
MJ/m
180.44
kWh/m
50.12
Permissible pull on conductor
fppc
N/mm²
60.0
Permissible pull force on conductor
Fppc
daN
3780.0
Mechanical
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 47
Cable: 33kV, XKDT-FT 3x150 mm2 RM35
Cable is used in following systems: E
General Data
Cable rated 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
Conductor
Number of conductors in cable
nc
-
3
Conductor cross-section
Ac
mm²
150.0
Material of conductor
Mc
-
Copper
Construction of conductor
cconstr
-
Round, stranded
Coating of wires
Rco
-
plain
Skin effect coefficient of conductor
ks
-
1.0
Proximity effect coefficient of conductor
kp
-
1.0
El. resistivity of conductor material
ρc
Ω.m
1.7241e-08
DC resistance of conductor at 20°C
Rco
Ω/km
0.124
Temp. 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 conductor shield
tcs
mm
0.6
Material of insulation
Mi
-
Crosslinked polyethylene (XLPE)
Max. conductor temperature
θcmax
°C
90.0
Insulation
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particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 48
Max. emergency overload temperature
θcmaxeo
°C
130.0
Max. short-circuit temperature
θcmaxsc
°C
250.0
Relative permittivity of insulation
ε
-
2.5000
Loss factor of insulation
tanδ
-
0.0040
Thermal resistivity of insulation
ρ1
K.m/W
3.5
Specific heat capacity of insulation material
σ1
J/K.m³
2400000.0
Thickness of insulation
tins
mm
8.1
Insulation thickness between conductors
t
mm
18.2000
Thickness of insulation screen
tis
mm
0.4
Thickness of screen bedding
tscb
mm
0.6
Specific heat capacity of screen bedding
σscb
J/K.m³
2000000.0
-
Round wires
Screen
Type of screen
Material of screen
Msc
-
Copper
Diameter of screen wires
tsc
mm
0.9
Number of screen wires
nsw
-
54
Resistance of screen at 20°C
Rsco
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
Material 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
Construction of armour
aconstr
-
Steel wires, flat
Resistance of 1st armour at 20°C
RAo,1
Ω/km
0.5469
Thickness of 1st armour
df,1
mm
1.2
Width of flat wires of 1st armour
wf,1
mm
6.0
Number of wires of 1st armour
na,1
-
40
Length of lay of 1st armour
pa,1
mm
500.0
Effective length per unit lay length of 1st armour
Fa,1
mm
1.14
Cross-sectional area of armour
AA
mm²
288.0
Specific heat capacity of armour material
σar
J/K.m³
3800000.0
Material of jacket
Mj
-
Polyvinyl chloride (PVC, ST1/2)
Thickness of jacket
tj
mm
4.10
Thermal resistivity of jacket
ρ3
K.m/W
5.0
Specific heat capacity of jacket material
σj
J/K.m³
1700000.0
External diameter of cable
De
mm
96.99
T1
K.m/W
1.168
Filler
Armour
Jacket
Internal thermal resistances
Thermal resistance between one conductor and sheath
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 49
Thermal resistance between sheath and armour
T2
K.m/W
0.000
Thermal resistance between sheath and first armour layer
T2,1
K.m/W
0.000
Thermal resistance of separation between armour layers
T2,2
K.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
-
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
Mass of cable
m
kg/m
14.51
Heat energy content
Hc
MJ/m
169.83
kWh/m
47.18
Mechanical
Permissible pull on conductor
fppc
N/mm²
40.0
Permissible pull force on conductor
Fppc
daN
1800.0
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 50
Cable: SOLARpower Alu-ATA 1x240/31
Cable is used in following systems: F
General Data
Cable rated 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
Number of conductors in cable
nc
-
1
Conductor cross-section
Ac
mm²
240.0
Material of conductor
Mc
-
Aluminium
Construction of conductor
cconstr
-
Round, stranded
Skin effect coefficient of conductor
ks
-
1.0
Proximity effect coefficient of conductor
kp
-
0.8
El. resistivity of conductor material
ρc
Ω.m
2.8264e-08
DC resistance of conductor at 20°C
Rco
Ω/km
0.125
Temp. 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
Material of insulation
Mi
-
Crosslinked polyethylene (XLPE)
Max. conductor temperature
θcmax
°C
90.0
Max. emergency overload temperature
θcmaxeo
°C
130.0
Max. short-circuit temperature
θcmaxsc
°C
250.0
Relative permittivity of insulation
ε
-
2.5000
Conductor
Insulation
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 51
Loss factor of insulation
tanδ
-
0.0040
Thermal resistivity of insulation
ρ1
K.m/W
3.5
Specific heat capacity of insulation material
σ1
J/K.m³
2400000.0
Thickness of insulation
tins
mm
1.9
Insulation thickness between conductors
t
mm
3.8000
Thickness of screen bedding
tscb
mm
1.2
Specific heat capacity of screen bedding
σscb
J/K.m³
2000000.0
-
Tapes
Screen
Type of screen
Material of screen
Msc
-
Aluminium
Diameter of screen
tsc
mm
0.5
Resistance of screen at 20°C
Rsco
Ω/km
0.7300
Specific heat capacity of screen material
σsc
J/K.m³
2500000.0
Material of jacket
Mj
-
Polyethylene (HDPE, ST7)
Thickness of jacket
tj
mm
1.90
Thermal resistivity of jacket
ρ3
K.m/W
3.5
Specific heat capacity of jacket material
σj
J/K.m³
2400000.0
External diameter of cable
De
mm
28.95
Thermal 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 first armour layer
T2,1
K.m/W
0.000
Thermal resistance of separation between armour layers
T2,2
K.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
Mass of cable
m
kg/m
1.09
Heat energy content
Hc
MJ/m
13.06
kWh/m
3.63
Permissible pull on conductor
fppc
N/mm²
30.0
Permissible pull force on conductor
Fppc
daN
720.0
Jacket
Internal thermal resistances
Mechanical
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 52
Cable: FO Rampion
Warning! Resistance for aluminium conductors of sizes below 10 mm2 is acc. to ASTM B231-04.
Cable is used in following systems: G
General Data
Cable rated 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
Conductor
Number of conductors in cable
nc
-
1
Conductor cross-section
Ac
mm²
0.5
Material of conductor
Mc
-
Aluminium
Construction of conductor
cconstr
-
Round, stranded
Skin effect coefficient of conductor
ks
-
1.0
Proximity effect coefficient of conductor
kp
-
0.8
El. resistivity of conductor material
ρc
Ω.m
2.8264e-08
DC resistance of conductor at 20°C
Rco
Ω/km
57.47
Temp. 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
Conductor tape thickness
tct
mm
0.1
tcs
mm
0.1
Insulation
Thickness of conductor shield
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.
Title: Sample Calculation
2018-05-31 22:12 / page 53
Material of insulation
Mi
-
High density polyethylene (HDPE)
Max. conductor temperature
θcmax
°C
80.0
Max. emergency overload temperature
θcmaxeo
°C
80.0
Max. short-circuit temperature
θcmaxsc
°C
160.0
Relative permittivity of insulation
ε
-
2.3000
Loss factor of insulation
tanδ
-
0.0010
Thermal resistivity of insulation
ρ1
K.m/W
3.5
Specific heat capacity of insulation material
σ1
J/K.m³
2400000.0
Thickness of insulation
tins
mm
1.8
Insulation thickness between conductors
t
mm
4.0000
Screen
Type of screen
-
Tapes
Material of screen
Msc
-
Stainless steel
Diameter of screen
tsc
mm
0.5
Resistance of screen at 20°C
Rsco
Ω/km
81.0243
Specific heat capacity of screen material
σsc
J/K.m³
3760000.0
Material of jacket
Mj
-
Polyethylene (HDPE, ST7)
Thickness of jacket
tj
mm
2.00
Thermal resistivity of jacket
ρ3
K.m/W
3.5
Specific heat capacity of jacket material
σj
J/K.m³
2400000.0
External diameter of cable
De
mm
10.00
Thermal 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 first armour layer
T2,1
K.m/W
0.000
Thermal resistance of separation between armour layers
T2,2
K.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
Mass of cable
m
kg/m
0.13
Permissible pull on conductor
fppc
N/mm²
30.0
Permissible pull force on conductor
Fppc
daN
1.5
Jacket
Internal thermal resistances
Mechanical
Cableizer specifically disclaims any warranties, including, but not limited to, the implied warranties of merchantability, accuracy, or fitness for any
particular purpose. In no event shall Cableizer be liable to any party for any damages arising out of the use of information in this document.