An optimal design method for improving the lightning performance of overhead high voltage transmission lines

This paper presents a method for the optimal design of high voltage transmission lines taking into consideration shielding and backflashover failure rates. The minimization of suitably defined performance indices, which relate the failures caused by lightning in a transmission line to both line insulation level and tower footing resistance, is aimed. Optimum values for both line insulation level and tower footing resistance are calculated. The method is applied on several operating Hellenic transmission lines of 150 and 400 kV, respectively, carefully selected among others, due to their high failure rates during lightning thunderstorms. Special attention has been paid on open loop lines, where a possible failure could bring the system out of service causing significant problems. The obtained design parameters, which reduce the failure rates caused by lightning, are compared with the existing design parameters of the transmission lines leading up to useful conclusions. The proposed optimization method can be proved a valuable tool to the studies of electric power systems designers, intending to reduce the failure rates caused by lightning.

[1]  L. V. Bewley,et al.  Traveling Waves on Transmission Systems , 1931, Transactions of the American Institute of Electrical Engineers.

[2]  D. A. Douglass,et al.  EHV transmission line design opportunities for cost reduction , 1990 .

[3]  J.A. Martinez,et al.  Lightning performance analysis of transmission lines using the EMTP , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[4]  D. Shanno.  Conditioning of Quasi-Newton Methods for Function Minimization , 1970 .

[5]  Ieee Report.  A simplified method for estimating lightning performance of transmission lines , 1985 .

[6]  K. Berger.  Parameters of lightning flashes , 1975 .

[7]  F. A. Fisher,et al.  Determination of Lightning Response of Transmission Lines by Means or Geometrical Models , 1959, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[8]  J.B. Lee,et al.  Numeral analysis model for shielding failure of transmission line under lightning stroke , 2005, IEEE Transactions on Power Delivery.

[9]  P. Chowdhuri,et al.  Alternative to Monte Carlo method for the estimation of lightning incidence to overhead lines , 1997 .

[10]  Monji G. Jaboori,et al.  OPTIMAL DESIGN OF HIGH VOLTAGE OVERHEAD TRANSMISSION LINES , 1990 .

[11]  E. R. Whitehead,et al.  Field and Analytical Studies of Transmission Line Shielding: Part , 1968 .

[12]  P. Chowdhuri,et al.  Parameters of lightning strokes: a review , 2005, IEEE Transactions on Power Delivery.

[13]  Michael A. Malcolm,et al.  Computer methods for mathematical computations , 1977 .

[14]  C.D. Zinn,et al.  Minimization of the cost of an electric transmission line system , 1976, IEEE Transactions on Power Apparatus and Systems.

[15]  M. M. Saied.  An alternative procedure for the design of high voltage overhead transmission lines , 1999, 1999 IEEE Transmission and Distribution Conference (Cat. No. 99CH36333).

[16]  A. M. Mousa,et al.  Effect of shielding by trees on the frequency of lightning strokes to power lines , 1988 .

[17]  C. R. Bouquegneau,et al.  The lightning performance of a suboptimal double-circuit tower for high-voltage transmission lines , 1981 .

[18]  F.A.M. Rizk,et al.  Modeling of transmission line exposure to direct lightning strokes , 1990 .

[19]  M. S. Savic,et al.  Technical and economical optimisation of overhead power distribution line lightning protection , 1998 .

[20]  Ian S. Grant,et al.  Transmission Line Optimization , 1987, IEEE Transactions on Power Delivery.

[21]  Roger Holt,et al.  Monte Carlo estimation of the rates of lightning strikes on power lines , 1999 .

[22]  Lambros Ekonomou,et al.  Probability of backflashover in transmission lines due to lightning strokes using Monte-Carlo simulation , 2003 .

[23]  Mat Darveniza,et al.  Lightning Performance of Double-Circuit Transmission Lines , 1970 .

[24]  J. G. Anderson.  Monte Carlo Computer Calculation of Transmission-Line Lightning Performance , 1961, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.