What is the formula to find out cross sectional area of
cable for certain current rating?



What is the formula to find out cross sectional area of cable for certain current rating?..

Answer / tarun aggarwal ymca

what u have to first take into mind what type of cable u want to purchase....then its size matter

usually we use XLPE insulated cable for Power cable and Aluminum or copper its depend upon the cost and loses

mean if u need large length cable you have to prefer aluminum in shorter length copper cable is preferred as its resistivity is less

for example

VLL = 11kV (line volatge)
L = 1.3km
Maximum allowable Vdrop = 2.5% of VLL i.e.Vdrop = 275V

SkVA = 3000kVA (Total Power we have to transfer of to be used by the connected load)
Full load Current If= SkVA/root3 VLL i.e If = 157.5A

Demand factor is what we actually demand the current (it not always full load current what we demand) Let D.F = 80% of If

Id =D.F x If (Demand Current) where D.F = Demand Factor i.e Id = 126.0A

The cable current carrying capacity is always kept larger than the demand current let S.F for Cable in % = 30% Extra Id

Ic= (1+S.F/100) Id i.e Ic = 163.8A

This current is what will be safer current that will be carried out by cable

Now derating factor K is calculated by the following equation

K = Kground x Ktherm.res x Kdepth x Kgroup

Vdrop = 3IdL root(Rac cos􀄳+ Xsin􀄳)

Now cable data is refered

Type 3 Core, Copper Conductor, XLPE insulated, Copper tape Screened, PVC bedded, Steel Wire Armoured, PVC, 8750/15000V.


Parameter -------- 50 mm2---- 70 mm2 ------ 95 mm2------- 120 mm2 ------- 150 mm2 ----- 185 mm2
Irated (A) --------- 187----------- 227- ------------ 267--------------303 -----------------338------------------ 383
Kground----------------0.86
Ktherm.res-- ----------- 1
Kdepth-------------------0.98
Kgroup ------------------0.7
K-------------------------- 0.590
Icor (A) -----------110.32 --------- 133.92----------157.52--------- 178.76-------------199.41------------225…
Rac (ohm/km) --- 0.493 --------0.342------------ 0.247------------0.196---------------0.1… ------------ 0.128
X (ohm/km) --------0.118 --------0.112 ------------0.106------------0.102------…
P.F = Cos--------0.85
(In radian)-------- 0.5548------ 0.5548----------0.5548-----------0.5548-…
Vdrop (V)-----------196.76-------167.73-------…

Considering the values of Ic, Icorrected and Vdrop the best suited cable is 120 mm2
cable for connecting switchyard to substation

Sorry extra long answer but i want to explain in detail

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