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.