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A MATHEMATICAL MODEL FOR THE TRANSIENT LIGHTNING RESPONSE FROM GROUNDING SYSTEMS

By Z. X. Li, Y. Yin, C.-X. Zhang, and L.-C. Zhang

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Abstract:
A mathematical model for accurately computing, when combined with the Fast Fourier Transform (FFT), the lightning currents flowing along a high voltage a.c. substation's grounding system buried in half infinite homogenous earth has been developedn in this paper. It is a hybrid of Galerkin's method of moment and the conventional nodal analysis method. The model can calculate the distribution of both branch and leakage currents along the grounding system. The dynamic state complex image method and the closed form of Green's function of a dipole or monopole in the half infinite homogenous earth model are introduced into this model to accelerate the calculation of the mutual impedance and induction coefficients. Analytical formulae for the mutual induction and impedance coefficients have been developed to accelerate the calculation for near field case by Maclaurin expansion. With the inverse FFT, the model can be used to study the transient lightning response of a grounding system.

Citation:
Z. X. Li, Y. Yin, C.-X. Zhang, and L.-C. Zhang, "A Mathematical Model for the Transient Lightning Response from Grounding Systems," Progress In Electromagnetics Research B, Vol. 57, 47-61, 2014.
doi:10.2528/PIERB13101908

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