Cable Sizing Guideline
Cable Sizing Guideline
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TABLE OF CONTENTS
1.0 INTRODUCTION 2
3.0 OBJECTIVE 4
5.1 General 6
5.2 Conversion Factors for Cables in Air 6
5.3 Conversion Factors for Cables Lain in Ground 7
5.4 Derating for Cables Laid in Air 7
5.5 Derating for Cables Laid in Ground 8
5.6 General 9
5.7 Conversion Factors for Cables in Air 9
5.8 Derating for Cables Laid in Air 9
5.9 Other Assumptions 11
6.0 AL GORITHMS 14
8.0 CONCLUSION 27
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1.0 INTRODUCTION
Start_your_text_here
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The cable electrical characteristics and cable current carrying capacity are based on vendor cable
specifications. The de-rating and conversion factors, including ambient conditions are based on the
following standards and recommendations:
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3.0 OBJECTIVE
The objective of this report is to state the criteria and methodology for cable sizing
calculation/checking for <NAME OF THE PROJECT> Project.
The calculated cable sizes shall be checked against the assumptions made in Section 5.0 of this
calculation report. This document is intended to establish the basis for calculating the cable sizes
and the calculation shall be updated as new information or assumptions used are updated.
Four hand calculations will be performed to validate the spreadsheet calculation, two calculations for
MV cable and two calculations for LV cable.
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The cable construction shall be referred to Cable Specification <NAME OF THE PROJECT>
Document number The Low Voltage conductor shall in general be armoured, stranded copper with
XLPE insulation and the following ratings:
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Calculations are based on standards and specifications stated in Section 2 and vendor cable data.
The cables are calculated based on cable construction indicated in Section 4. The following are the
SAMPLE ONSHORE ASSUMPTIONS AND CRITERIA (Delete this section i f not applicable)
5.1 General
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SAMPLE OFFSHORE ASSUMPTIONS AND CRITERIA (Delete this section i f not applicable)
5.6 General
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After cable order is awarded, ampacity factor shall be taken from manufacturer firm data and used
for final re-calculation.
Where cables are connected in parallel, they should be of the same type and length, and should
have conductors of the same cross section and the conductors be arranged to carry equal
current.
The current capacity ( IP ) of parallel connected cables should be based on the following
where
I = current rating (of cable)
n = number of parallel connected conductors.
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The calculated cables are acceptable if the following criteria are met:
overload current);
Ib ≤ In ≤ Iz
where
Iz the current – carrying capacity of a
(b) Voltage Drop Cable voltage drop shall be within the following range of
its nominal value:
i. For motor under starting conditions ≤ 20%
ii. For motor under running conditions ≤ 2.5%
iii. For Feeders to MCC and DB’s ≤ 2.5%
iv. For lighting ≤ 3%
v. For Instrumentation DB/Panels ≤ 2.5%
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(c) Short Circuit Check The cable size, selected by ampacity and voltage drop
verification, is subjected to the thermal stress withstand
ability check during short circuit.
manufacturer).
manufacturer).
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6.0 ALGORITHMS
The cross section area of the cable is selected on the basis of the ambient conditions, laying method
and thermal protective device characteristics.
Select cable from vendor cable data (see Appendix 1.0 and 2.0) and its rated current carrying
capacity. Get ICABLE. Apply de-rating factor from Section 5.3/4:
I SITE = f1 × f2 × f3 × f 4 × ICABLE
where,
ISITE = Site cable rating
ICABLE = Vendor cable current carrying rating
f1 = de-rating factor based on air/ ground temperature (Appendix 1.0, Table 15-16)
f2 = de-rating factor based on cable laying and grouping (Appendix 2.0, Table 34-42)
f3 = de-rating factor based on cable laying depth (for buried cables) (Appendix 2.0,
Table 34-42)
f4 = de-rating factor based on soil thermal resistivity (for buried cables) (Appendix 2.0,
Table 34-42)
(
ΔU = 3 × I Running × l × RL × cos φ + X L × sin φ )
(
ΔU = 3 × IStarting × l × RL × cos φ ' + X L × sin φ ' )
ΔU
Δu = 100 %
U
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where,
U = Phase to phase voltage
IRunning = User phase to phase running current
IStarting = User phase to phase starting current
RL = Cable resistance Ohm/km
XL = Cable reactance Ohm/km
cos φ = Running power factor
Un
I SCMIN =
⎛ Z ⎞
3 ⎜⎜ Z f + c ⎟⎟
⎝ n ⎠
where
Un = Nominal phase to phase Voltage
Zf = System Impedance
Zc = Cable Impedance
n = Number of cables
I 2 tCB
SMIN >
nK 2
where
2
I 2 tCB = let through energy of circuit breaker (A s) see Note 1.
n = Number of cables
K = Short circuit density coefficient
[K=143 for copper cable with XLPE insulation, K= 110 for copper with PVC
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Note 1:
2
For circuit breaker with direct tripping, the I tCB can be obtained from the manufacturer let through
energy curves. For circuit breaker with external relay the I 2 tCB is calculated as follows:
I 2 tCB = I 2CCMAX ⋅ t
where
t = Maximum operating time of protection relay (including C.B. breaking time)
ICCMAX = Maximum short circuit value of system including d.c. decaying component (A)
I 2 t FUSE
S MIN > 2
nK
where
2 2
n = Number of cables
K = Short circuit density coefficient
[K=143 for copper cable with XLPE insulation, K= 110 for copper with PVC
insulation and K=142 for copper with EPR insulation]
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General Data
Load rating : 50 kW
Voltage Rating : 400 V
Running Power Factor : 0.82
Starting Power Factor : 0.3
Motor Efficiency : 100 %
kW
Three phase full load current, I FLC =
3 × kV × PF × EEF
75
=
3 × 0.4 × 0.82 × 1
= 132.02 A
Ampacit y
Ampacity per cable (Appendix 6, Tb 1) : 200 A
×
Ampacity No. of Cables : 200 A
De - rating Factor : 0.57
Derated Rating of Cable : 114 A
Selected cable site rating ISITE of 114 A is smaller than IFLC of 132.02 A therefore cable current
carrying capacity is no t acceptable.
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Voltage Drop
(
ΔU = 3 × I Running × l × R L × cos φ + X L × sin φ )
(
= 3 × 132.02 × 0.025 0.4940 × 0.82 + 0.0739 × sin cos −1 0.82 * ( ))
= 2.56V
ΔU
Δu = 100%
U
6.76
= 100%
400
= 0.64%
The running voltage drop across cable of 0.64% is below criteria of 2.5%. Therefore cable is
accepted.
(
ΔU = 3 × I Starting × l × R ' L × cos φ + X ' L × sin φ )
(
= 3 × 858.1× 0.025 0.4940 × 0.3 + 0.0739 × sin cos −1 0.3 * ( ))
= 8.13V
ΔU
Δu = 100%
U
8.13
= 100%
400
= 2.03%
The running voltage drop across cable of 2.03% is below criteria of 20%. Therefore cable is
accepted.
* For resistance and reactance values, please refer Appendix 6, Table 2 and 3.
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(a)
V R2 + X 2
System Impedance, Z = Impedance of cable, Z c = × Length of cable
f 3 × kA 1000
400 0.494 2 + 0.0739 2
= = × 50
3 × 50k 1000
= 0.0046Ω = 0.0025Ω
(b) Un
Maximum short circuit current, I CCMAX =
⎛ Zc ⎞
3 ⎜⎜ Z f + ⎟
⎝ n ⎟⎠
400
=
0.0025
3 (0.0046 + )
1
= 7.8kA
(c) This feeder is protected by moulded case circuit breaker, the minimum cross section area of
cable is
I 2 t CB
S MIN > 2
= 7.71 mm
2
nK
where
I = ICCMAX
= 0.0025 + 0.0175
= 0.02sec
K =143
n =1
2 2
The cable cross section of 1 x 50 mm > minimum cable cross-section of 7.71 mm and cable is
acceptable.
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7.2 Calculation for Cable from 11kV MV Switc hgear to 20 MVA Transform er – Test 2
General Data
Load rating : 1500 kW
Voltage Rating : 11000 V
Power Factor : 1.00
Feeder Efficiency : 100 %
kW
Three phase full load current, I FLC =
3 × kV × PF × EEF
1500
=
3 × 11× 1× 1
= 78.73A
Ampacit y
Selected cable site rating ISITE of 1092 A is larger than IFLC of 78.73 A therefore cable current
carrying capacity is acceptable.
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Voltage Drop
(
ΔU = 3 × I Running × l × RL × cos φ + X L × sin φ )
( (
= 3 × 78.73 × 0.05 0.196 × 1 + 0.195 × sin cos −1 1 *))
= 1.34V
ΔU
Δu = 100 %
U
1.34
= 100%
11000
= 0.00012 %
The running voltage drop across cable of 0.00012% is below criteria of 2.5%. Therefore cable is
accepted.
* For resistance and reactance values, please refer Appendix 6, Table 2 and 3.
(b) This feeder is protected by vacuum circuit breaker and O/C protection relay , the minimum
cross section area of cable is
I 2 t CB
S MIN > 2
= 45.13 mm
2
nK
where
I = ICCMAX = 25kA
2 2
The cable cross section of 120 mm > minimum cable cross-section of 45.13 mm and cable is
acceptable.
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Installation :
Load description :
Feeder Tag No :
Cable size : 2 x 3 core x 300 mm 2
Estimated Length : 100 m
General Data
Load rating : 450 kW
Voltage Rating : 400 V
Power Factor : 0.91
Feeder Efficiency : 100 %
kW
Three phase full load current, I FLC =
3 × kV × PF × EEF
450
=
3 × 0.4 × 0.91× 1
= 713.76 A
= 4639.44 A
Ampacit y
Ampacity per cable (Appendix 6, Tb 1) : 574 A
Ampacity × No. of Cables : 1148 A
De - rating Factor : 0.8
Derated Rating of Cable : 918.4 A
Selected cable site rating ISITE of 918.4 A is larger than IFLC of 713.76 A therefore cable current
carrying capacity is acceptable.
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Voltage Drop
( )
ΔU = 3 × I Running × l × RL × cos φ + X L × sin φ / No.of phase
= 3 × 713.76 × 0.1(0.0799 × 0.91 + 0.0697 × sin(cos − 0.91))/ 2 *
1
= 6.28V
ΔU
Δu = 100%
U
6.28
= 100 %
400
= 1.57%
The running voltage drop across cable of 1.57% is below criteria of 2.5%. Therefore cable is
accepted.
(b) Starting Voltage drop
( )
ΔU = 3 × I Starting × l × R ' L × cos φ + X ' L × sin φ / No of phase
( (
= 3 × 4639.44 × 0.1 0.0799 × 0.3 + 0.0697 × sin cos −1 0.3 / 2 * ))
= 36.25V
ΔU
Δu = 100%
U .25
36
= 100%
400
= 9.06%
The running voltage drop across cable of 9.06% is below criteria of 20%. Therefore cable is
accepted.
* For resistance and reactance values, please refer Appendix 6, Table 2 and 3.
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(b) Un
Maximum short circuit current, I CCMAX =
⎛ Zc ⎞
3 ⎜⎜ Z f + ⎟
⎝ n ⎟⎠
400
=
0.0106
3 (0.0029 + )
2
= 28.16kA
(c) This feeder is protected by moulded case circuit breaker, the minimum cross section area of
cable is
I 2 t CB
S MIN > 2
= 19.69 mm
2
nK
where
I = ICCMAX
2 2
The cable cross section of 2 x 300 mm > minimum cable cross-section of 19.69 mm and cable is
acceptable.
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Installation :
Load description :
Feeder Tag No :
Cable size : 1 x 3 core x 150 mm 2
Estimated Length : 750 m
General Data
Load rating : 2500 kW
Voltage Rating : 11000 V
Power Factor : 1.00
Feeder Efficiency : 100 %
kW
Three phase full load current, I FLC =
3 × kV × PF × EEF
2500
=
3 × 11× 1× 1
= 131.22 A
Ampacit y
Ampacity per cable (Appendix 6, Tb 1) : 361 A
Ampacity × No. of Cables : 361 A
De - rating Factor : 0.53
Derated Rating of Cable : 191.33 A
Selected cable site rating ISITE of 191.33 A is larger than IFLC of 131.22 A therefore cable current
carrying capacity is acceptable.
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Voltage Drop
(
ΔU = 3 × I Running × l × RL × cos φ + X L × sin φ )
( (
= 3 × 131.22 × 0.75 0.159 × 1.0 + 0.09 × sin cos −1 1.0 ))
= 27.10V
ΔU
Δu = 100%
U
27.10
= 100%
11000
= 0.25%
The running voltage drop across cable of 0.25% is below criteria of 2.5%. Therefore cable is
accepted.
* For resistance and reactance values, please refer Appendix 6, Table 2 and 3.
(b) This feeder is protected by vacuum circuit breaker and O/C protection relay, the minimum
cross section area of cable is
2
S MIN > I t CB = 78.18 mm 2
nK 2
where
I = ICCMAX = 25kA
2 2
The cable cross section of 2 x 300 mm > minimum cable cross-section of 78.18 mm and cable is
acceptable.
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8.0 CONCLUSION
The cable sizes recommended are based on the assumptions in Section 5.0 and the attached
appendices, the data in Section 5.0 shall be verified prior to purchase/installation of cables. Any
changes shall be updated into this report.
All the MV and LV cables shall be protected by fuses or protection relays (50/51) against short circuit
faults. The specific let through energy of the fuses or direct tripping protection shall not be higher
2
than the specific let through energy of the cables [A s].
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