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Electrical Power Systems

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26 <strong>Electrical</strong> <strong>Power</strong> <strong>Systems</strong><br />

where y is the number of layers where in the single central strand is counted as the first<br />

layer. The overall diameter (D) of a stranded conductor is<br />

igure 2.5 shows the cross-sectional view of an<br />

ACSR conductor with 24 strands of aluminium and 7<br />

strands of steel.<br />

Expanded ACSR conductors are used in extra high<br />

voltage (EHV) transmission line. By the use of a filler<br />

such as paper or hessian between various layers of<br />

strands so as to increase the overall conductor diameter<br />

to reduce the corona loss and electrical stress at<br />

conductor surface. Bundled conductors are commonly<br />

used in EHV transmission line to reduce the corona<br />

loss and also reduce the radio interference with<br />

communication circuits.<br />

D = (2y – 1)d ...(2.48)<br />

2.9 INDUCTANCE O COMPOSITE CONDUCTORS<br />

In the previous sections, solid round conductors<br />

were considered for the calculation of<br />

inductance. However, stranded conductors are<br />

used for practical transmission lines. igure 2.6<br />

shows a single phase line comprising composite<br />

conductors X and Y. The current in X is I<br />

referenced into the page and the return current<br />

in Y is –I. Conductor X having n identical strands<br />

or subconductors, each with radius r x. Conductor<br />

Y having m identical strands or subconductors<br />

with radius r y. It is assumed that the current<br />

is equally divided among the subconductors. Thus, each subconductor of X, carry a current I/n<br />

and each subconductor of Y, carry a current –I/m.<br />

Applying eqn. (2.46) to subconductor a, we get<br />

l a = 0.4605 I<br />

or l a = 0.4605 I log<br />

R<br />

S|<br />

T|<br />

RST<br />

R<br />

S|<br />

T|<br />

1 1 1 1 1<br />

log log log log . . . log<br />

n r¢ D D D D<br />

+ + + + +<br />

x<br />

ab ac ad an<br />

–0.4605 I 1 1 1 1<br />

log + log + log + ... + log<br />

m D D D D<br />

The inductance of subconductor a is<br />

aa¢ ab¢ ac¢ am<br />

aa¢ ab¢ ac¢ am<br />

1<br />

m<br />

1<br />

x ab ac ad an<br />

n<br />

( D × D × D .... D )<br />

( r¢ D D D .... D )<br />

ig. 2.5: Cross-sectional view of<br />

ACSR conductor (7 steel strands and<br />

24 aluminium strands).<br />

ig. 2.6: Single phase line consisting of<br />

two composite conductors.<br />

U<br />

V|<br />

W|<br />

UVW<br />

U<br />

V|<br />

W|<br />

...(2.49)

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