An Antenna-Theory Approach for Modeling Inclined Lightning Return Stroke Channels

Abstract In this paper, we investigate lightning return stroke electromagnetic fields and induced voltages on nearby overhead lines associated with an inclined lightning channel. The study is based on the Antenna Theory (AT) model, which is appropriately extended to take into account the channel inclination. This involves modification of the well-known analytical expressions for the electromagnetic field originated by a dipole so that an inclined channel is properly modeled. Using the AT model, the electromagnetic fields are computed at close, medium and far distance ranges, with respect to an inclined lightning channel. It is shown that the channel inclination affects more markedly the fields at close distances. The induced voltages on a nearby overhead line are also investigated and it is shown that channel inclination could result in a significant variation of the induced voltage magnitudes. It is also shown that, depending on the inclination and its relative position to the observation point or to the line, the channel inclination could result either in an increase or in a decrease of the electromagnetic field and induced voltage magnitude.

[1]  Vernon Cooray,et al.  The lightning flash , 2003 .

[2]  V. Rakov,et al.  Comparison of electromagnetic models of lightning return strokes using current and voltage sources , 2003 .

[4]  Martin A. Uman,et al.  Transient electric and magnetic fields associated with establishing a finite electrostatic dipole , 1983 .

[5]  Rouzbeh Moini,et al.  Evaluation of LEMP effects on complex wire structures located above a perfectly conducting ground using electric field integral equation in time domain , 1998 .

[6]  Robert Meneghini,et al.  Simulation of radiation from lightning return strokes - The effects of tortuosity , 1978 .

[7]  Masaru Ishii,et al.  Induced voltage on an overhead wire associated with inclined return-stroke channel-model experiment on finitely conductive ground , 1996 .

[8]  S. Rusck,et al.  Induced-lightning overvoltages on power transmission lines with special reference to the overvoltage protection of low voltage networks , 1958 .

[9]  A. Sakakibara.  Calculation of induced voltages on overhead lines caused by inclined lightning studies , 1989 .

[10]  E. K. Miller,et al.  An integro-differential equation technique for the time-domain analysis of thin-wire structures. II. Numerical results , 1973 .

[11]  D. M. Le Vine,et al.  Electromagnetic fields radiated from a lightning return stroke - Application of an exact solution to Maxwell's equations , 1978 .

[12]  Farhad Rachidi,et al.  Modeling an inclined lightning return stroke channel using the Antenna Theory model , 2001 .

[13]  M. Uman,et al.  Lightning return stroke current models with specified channel‐base current: A review and comparison , 1990 .

[14]  Vladimir A. Rakov,et al.  Review and evaluation of lightning return stroke models including some aspects of their application , 1998 .

[15]  Shih-Chang Wu,et al.  Characterization of induced voltages on overhead power lines caused by lightning strokes with arbitrary configurations , 1994, Proceedings of IEEE International Conference on Systems, Man and Cybernetics.

[16]  Vladimir A. Rakov,et al.  A new lightning return stroke model based on antenna theory , 2000 .