By Samy G. Krishnasamy

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Extra info for Probabilistic Methods Applied to Electric Power Systems. Proceedings of the First International Symposium, Toronto, Canada, 11–13 July 1986

Example text

Effects or their combined a c t i o n , structural p r o p e r t i e s and strength of c o r r e l a t i o n s between v a r i o u s random p a r a m e t e r s are also taken into account in assessing the upper and lower b o u n d s . , wind alone and wind and ice c o m b i n e d ) . The upper bound value on the p r o b a b i l i t y of failure under the vertical loading is one order of m a g n i t u d e higher than the lower bound v a l u e . The p r o b a b i l i t y of f a i l u r e of the tower, in g e n e r a l , i n c r e a s e s with the c o e f f i c i e n t of v a r i a t i o n of the wind speed, which can also be related to a specific return period of l o a d i n g .

Probabilities of the plastic collapse are estimated, based on the selected failure modes. Finally, a PMAEPS-C 53 numerical example is provided to demonstrate the validity of the proposed method. EVALUATION OF APPLIED LOADS External loads acting on a transmission line structure consist of wind, snow, tension, earthquake, and temperature loads, etc. In this study, the wind, snow and tension loads are considered. Estimation of Wind Loads, Snow Loads and Tension Loads Wind loads (L„). Wind loads acting on conductors and a tower are estimated by Lw = ^ p (Gv) 2 CQ (D + 2 t ) S ( H / 1 0 ) 0 · 2 5 (1) where p , G, V , C D , D, t, S, H, (H/10) 0 · 25 are air density, gust factor, winter average wind speed at the site where the tower is constructed, drag coefficient, conductor diameter, snow thickness, span length, height at which the wind acts and height coefficient, respectively.

L (16) 7σ£ V where R, S are the mean values and C R I σ β are the standard deviations of the internal strength and stress of a member, r e s p e c t i v e l y . Variables "5 and σβ can be obtained from a first-order Taylor's series expansion of the functional relationship among S, Q and A. The symbol, 3 » is defined as the reliability index and φ ( _ 3 ) is obtained from the standard normal table. Following Cornell (1967), upper and lower bounds on the probability of failure of the tower, can then be estimated as M M Max P f f l < P f < Σ p f f l (17) i i=l where P* is the probability of failure of the tower.

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