This paper describes a procedure based on the Monte Carlo method to obtain the statistical distributions of lightning current parameters at ground level starting from those inferred from experimental data recorded by means of tall instrumented towers. As a matter of fact, it is generally accepted that these distributions are affected by the presence of the tower; lightning current amplitudes, in particular, are "biased" toward higher values, as the tower ability to attract lightning flashes tends to increase for flashes with larger currents. Concerning the current peak distribution, the obtained results match with those presented in previous studies on the subject; for instance, for the Berger et al. distribution, they provide a median value decrease ranging from 20%-40%, depending on the attractive radius expression adopted in the calculation. The proposed procedure is more general than others presented in the literature for the same purpose. It can be applied, indeed, to whatever model is adopted to represent the exposure of the tower to direct strokes and, further, it allows to quantify the tower effect on the statistical distributions of all lightning current parameters of interest, and not only of the peak value one. The statistical distributions at ground, calculated with the proposed procedure, should be considered for power system insulation coordination studies, chiefly for a more representative and significant evaluation of the indirect lightning performance of distribution lines. The obtained results can also be used to assess the performance of lightning location systems concerning the relevant current statistical distributions. © 2004 IEEE.

Note:

Department of Electrical Engineering, University of Bologna, IEEE, Bologna 40136, Italy

Cited By (since 1996): 18

Export Date: 25 April 2012

Source: Scopus

CODEN: ITPDE

doi: 10.1109/TPWRD.2004.829116

Language of Original Document: English

Correspondence Address: Borghetti, A.; Department of Electrical Engineering, University of Bologna, IEEE, Bologna 40136, Italy

References: (1997) IEEE Guide for Improving the Lightning Performance of Electric Power Overhead Distribution Lines, , IEEE Std. 1410-1997 June; Chisholm, W.A., Cress, S.L., Polak, J., Lightning-caused distribution outages (2001) Proc. Transm. Dist. Conf. Expo., pp. 1041-1046. , Atlanta GA Oct. 28-Nov. 2; Popolansky, F., Frequency distribution of amplitudes of lightning currents (1972) Electra, (22); Berger, K., Anderson, R.B., Kröninger, H., Parameters of lightning flashes (1975) Electra, (41), pp. 23-37. , July; Garbagnati, E., Giudice, E., Lopiparo, G.B., (1978) Messung Von Blitzströmen in Italien - Ergebnisse Einer Statistischen Auswertung, (11), pp. 664-668. , ETZ a); Anderson, R.B., Eriksson, A.J., Lightning parameters for engineering applications (1980) Electra, (69), pp. 65-102. , Mar; Anderson, J.G., Lightning performance of EHV-UHV lines (1982) Transmission Line Reference Book 345 KV Above, , Palo Alto CA: EPRI; (1991) Guide to Procedures for Estimating the Lightning Performance of Transmission Lines, (63). , CIGRÉ Working group 01 of Study Committee 33 CIGRÉ Tech. brochures; A method of estimating the lightning performance of transmission lines (1950) AIEE Trans., 69 (3), pp. 1187-1196; Anderson, R.B., Jenner, R.D., A summary of eight years of lightning investigation in Southern Rhodesia Part. 1 (1954) Trans. S. African Inst. Elec. Eng., 45 (PART 7), p. 215; Popolansky, F., Measurements of lightning currents in Czechoslovakia the application of obtained parameters in the prediction of lightning outages of EHV transmission lines (1970) Proc. CIGRÉ, 33 (3); Sargent, M.A., The frequency distribution of current magnitudes of lightning strokes to tall structures (1972) IEEE Trans. Power App. Syst., PAS-91, pp. 2224-2229. , Sept./Oct; Mousa, A.M., Srivastava, K.D., The implications of the electrogeometric model regarding effect of height of structure on the median amplitude of collected lightning strokes (1989) IEEE Trans. Power Delivery, 4, pp. 1450-1460. , Apr; Pettersson, P., A unified probabilistic theory of the incidence of direct indirect lightning strikes (1991) IEEE Trans. Power Delivery, 6, pp. 1301-1310. , July; Rizk, F.A.M., Modeling of lightning incidence to tall structures Part 1: Theory Part 2: Application (1994) IEEE Trans. Power Delivery, 9, pp. 162-193. , Jan; Sabot, A., An engineering review on lightning transient overvoltages the associated elements of electrogeometric compatibility (1995) Proc. 9th Int. Symp. High Voltage Engineering, , Graz Austria; Guerrieri, S., Nucci, C.A., Rachidi, F., Rubinstein, M., On the influence of elevated strike objects on directly measured indirectly estimated lightning currents (1998) IEEE Trans. Power Delivery, 13, pp. 1543-1555. , Oct; Golde, R.H., The frequency of occurrence the distribution of lightning flashes to transmission lines (1945) AIEE Trans., 64, pp. 902-910; Amstrong, H.R., Whitehead, E.R., Field analytical studies of transmission lines shielding (1968) IEEE Trans. Power App. Syst., PAS-87, pp. 270-281. , Jan; Love, E.R., (1973) Improvements on Lightning Stroke Modeling Applications to the Design of EHV UHV Transmission Lines, , M.Sc. Univ. Colorado Denver CO; Eriksson, A.J., An improved electrogeometric model for transmission line shielding analysis (1987) IEEE Trans. Power Delivery, PWRD-2, pp. 871-886. , July; Rizk, F.A.M., Modeling of transmission line exposure to direct lightning strokes (1990) IEEE Trans. Power Delivery, 5, pp. 1983-1997. , Oct; Dellera, L., Garbagnati, E., Lightning stroke simulation by means of the leader progression model Parts I and II (1990) IEEE Trans. Power Delivery, 5, pp. 2009-2029. , Oct; Bernardi, M., Dellera, L., Garbagnati, E., Sartorio, G., Leader progression model of lightning: Updating of the model on the basis of recent test results (1996) Proc. 23rd Int. Conf. Lightning Protection, pp. 399-407. , Florence Italy; Brown, G.W., Joint frequency distribution of stroke current rates of rise crest magnitude to transmission lines (1978) IEEE Trans. Power App. Syst., PAS-97, pp. 53-58. , Jan./Feb; Chisholm, W.A., Janischewskyj, W., Guillo, P.Y., Andrews, D., Statistical models for lightning intensity their application to prediction of transmission lightning outage rates (1986) Proc. 1st Int. Symp. Probabilistic Methods Applied to Electric Power Systems, pp. 633-640. , Toronto ON Canada July 11-13; Herodotou, N., Chisholm, W.A., Janischewskyj, W., Distribution of lightning peak stroke currents in Ontario using an LLP system (1993) IEEE Trans. Power Delivery, 8, pp. 1331-1339. , July; Cummins, K.L., Krider, E.P., Malone, M.D., The US national lightning detection network™ applications of cloud-to-ground lightning data by electric power utilities (1998) IEEE Trans. Electromagn. Compat., 40, pp. 465-480. , Nov; Bernardi, M., Pigini, A., Diendorfer, G., Schulz, W., Long term experience on lightning acquisition in Italy Austria data application to the improvement of lightning performance (2002) Proc. CIGRÉ, pp. 33-205; Diendorfer, G., Hadrian, W., Hofbauer, F., Mair, M., Schulz, W., Evaluation of lightning location data employing measurements of direct strikes to a radio tower (2002) Proc. CIGRÉ, pp. 33-206; Rubinstein, R.Y., (1981) Simulation the Monte Carlo Method, , New York: Wiley; Borghetti, A., Nucci, C.A., Estimation of the frequency distribution of lightning induced voltages on an overhead line above a lossy ground: A sensitivity analysis (1998) Proc. 24th Int. Conf. Lightning Protection, , Birmingham U.K. Sept; Berger, K., Garbagnati, E., Lightning current parameters - Results obtained in Switzerland in Italy (1984) Proc. Int. Union of Radio Science, , Florence Italy Sept; (1997) IEEE Guide for Improving the Lightning Performance of Transmission Lines, , IEEE Std. Dec. 1243-1997; Suzuki, T., Miyake, K., Shindo, T., Discharge path model in model test of lightning strokes to tall mast (1981) IEEE Trans. Power App. Syst., PAS-100, pp. 3553-3562. , July; Golde, R.H., Lightning tall structures (1978) Proc. Inst. Elect. Eng., 125 (4), pp. 347-351. , Apr; Bernardi, M., Private Communication; Pettersson, P., Probabilistic theory of lightning incidence (1994) Proc. 22nd Int. Conf. Lightning Protection, , Budapest U.K. Sept; Hileman, A.R., (1999) Insulation Coordination for Power Systems, , New York: Marcel Dekker