Calculation of lightning-induced voltages on overhead power lines using the RBF-FDTD method

The Finite-Difference Time-Domain (FDTD) solutions of lightning-induced voltages due to a lightning return stroke on a nearby overhead power line are proposed by Agrawal et al. [4] and Paolone et al. [5]. In this paper, we propose a new numerical method to solve field-to-transmission line coupling equations of transmission lines (TL). This new method is developed from the MQ-FDM [11] and called the Radial Basis Function (RBF) - FDTD method. The RBF is used to find the FD approximations of spatial and temporal derivatives. In this paper, the influence of the shape parameter of the RBF on lightning-induced voltages is also presented. In particular, with choosing the `optimal´ shape parameter, the result shows that the RBF-FDTD solution is better than the FDTD solution compared with that by lightninginduced overvoltage (LIOV) code. Finally, our proposed method is very suitable for studying the solution of telegrapher´s or EM coupling equations of all transmission and distribution lines in EMC problems with higher accuracy.