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Electrical Power Systems

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Total weight of the conductor<br />

= wl = 0.533 × 300.0355 kg.<br />

= 159.918 kg.<br />

Analysis of Sag and Tension 401<br />

Example 15.9: Calculate the sag and vertical sag of a transmission line having conductor is<br />

diameter 0.93 cm. Weight of conductor is 0.6 kg/m and breaking strength 2000 kg. Assume<br />

factor of safety 2 and span length 200 m and supports at the same level. The line is subjected to<br />

wind pressure of 40 kg/m 2 of the projected area. The radial thickness of the ice is 1.25 cm and<br />

weight of the ice is 912 kg/m 3 .<br />

Solution:<br />

L = 200 m, w = 0.60 kg/m<br />

Weight of the ice per meter length can be obtained using eqn. (15.73),<br />

wi = wcpti(dc + ti) ×10 –4 kg/m<br />

ti = 1.25 cm, dc = 0.93 cm, wc = 912 kg/m 3<br />

\ wi = 912 × p × 1.25 (0.93 + 1.25) ×10 –4 kg/m<br />

\ wi = 0.7807 kg/m.<br />

\ wT = w + wi = 0.60 + 0.7807<br />

\ wT = 1.3807 kg/m<br />

Horizontal force due to wind pressure can be obtained using eqn. (15.82), i.e.,<br />

bdc + 2tig<br />

= p kg/m<br />

100<br />

p = 40 kg/m 2<br />

b093 . + 2´ 125 . g<br />

\ = × 40 kg/m<br />

100<br />

\ = 1.372 kg/m<br />

Effective load acting on the conductor can be obtained using eqn. (15.83)<br />

2<br />

b g<br />

we = + w+ wi<br />

\ we = 2 2<br />

w<br />

\ w e = 1.946 kg/m.<br />

actor of safety = 2.0<br />

T = 2000<br />

2<br />

e 2<br />

2<br />

b g b g<br />

2 2<br />

+ = T 1372 . + 13807 .<br />

= 1000 kg.<br />

b g<br />

\ Sag d = wL<br />

8T<br />

= 1946 200 . ´<br />

1 ´ 1000<br />

\ d = 9.73 m<br />

<br />

HG<br />

Vertical sag = d cosq = d × w<br />

w<br />

= 6.9035 m.<br />

T<br />

e<br />

I<br />

2<br />

I<br />

HG KJ<br />

= 9.73 × KJ 13807 .<br />

1946 .

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