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Mathematical Problems in Engineering
Volume 2015, Article ID 150756, 9 pages
Research Article

On the Lightning Electromagnetic Fields due to Channel with Variable Return Stroke Velocity

1Centre for Electromagnetic and Lightning Protection Research (CELP), Faculty of Engineering, University Putra Malaysia, (UPM), 43400 Serdang, Selangor, Malaysia
2Department of Electrical Engineering, Islamic Azad University, Firoozkooh Branch, 3981838381 Firoozkooh, Iran

Received 1 October 2014; Accepted 30 January 2015

Academic Editor: Xiao-Qiao He

Copyright © 2015 M. Izadi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Numerical field expressions are proposed to evaluate the electromagnetic fields due to the lightning channel with variable values of return stroke velocity. Previous calculation methods generally use an average value for the return stroke velocity along a lightning channel. The proposed method can support different velocity profiles along a lightning channel in addition to the widely used channel-base current functions and also the general form of the engineering current models directly in the time domain without the need to apply any extra conversions. Moreover, a sample of the measured lightning current is used to validate the proposed method while the velocity profile is simulated by the general velocity function. The simulated fields based on constant and variable values of velocity are compared to the corresponding measured fields. The results show that the simulated fields based on the proposed method are in good agreement with the corresponding measured fields.