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Electrical Power Systems

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

T =<br />

6 -4<br />

32 ´ 10 ´ 2. 27 ´ 10<br />

2<br />

\ T = 3632 kg.<br />

Distance of the lowest point of the conductor from the taller support can be obtained using<br />

eqn. (15.66), i.e.,<br />

x 2 = L<br />

2<br />

\ x 2 = 300<br />

<br />

HG<br />

2<br />

+ hT<br />

w L<br />

T<br />

12 ´ 3632<br />

+<br />

2. 16 ´ 300<br />

Vertical sag can be obtained using eqn. (15.59) i.e.,<br />

d 2 =<br />

w x<br />

2T<br />

T 2 2<br />

= 216 217 26<br />

I KJ<br />

. ´ .<br />

2 ´ 3632<br />

kg<br />

= 217.26 m<br />

2 b g = 14.03 m. Ans.<br />

Example 15.8: An overhead transmission line has a span of 300 m. Ultimate strength is<br />

6000 Kg and factor of safety is 2.0. If the sag is 2m, determine (a) weight of the conductor<br />

(b) length of the line.<br />

Solution:<br />

(a) Span length L = 300 m<br />

Allowable tension T =<br />

Ultimate strength<br />

actor of safety<br />

\ T = 6000<br />

= 3000 kg.<br />

2<br />

Using eqn. (15.55), sag expression is written as:<br />

2<br />

d = wL<br />

8T<br />

d = 2 m<br />

2 b g = 2<br />

w ´ 300<br />

\<br />

8 ´ 3000<br />

\ w = 0.533 kg/m.<br />

\ Weight of the conductor = 0.533 kg/m.<br />

(b) Length of the line can be obtained using eqn. (15.57), i.e.,<br />

l = L<br />

<br />

HG<br />

8d<br />

1 +<br />

3L<br />

2<br />

2<br />

I<br />

KJ<br />

\ l = 300.0355 m<br />

<br />

HG<br />

2 bg<br />

b g<br />

= 300 1<br />

8´ 2<br />

+<br />

3 ´ 300<br />

2<br />

I<br />

KJ

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