This paper presents an application of the Radial Basis Function – Based Finite Difference Time Domain Method (RBF-FDTD) such as MQ (Multiquadrics), IMQ (Inverse Multiquadrics) and GA (Gaussian) is developed in [1] for modeling the lightning-induced voltages on overhead power lines in both cases of ideal ground and lossy ground. In addition, the influence of corona on the lightning-induced voltages has been considered as well. In order to increasing the accuracy of proposed method, the optimal algorithm of finding the shape parameter has been used. The accuracy, effectiveness and applicability of The MQ, IMQ and GA RBF-FDTD are evaluated through computing the lightning-induced voltages on 110kV overhead distribution lines. The solutions obtained by the RBF-FDTD are compared with those of the traditional FDTD based on the basic solution of the LIOV. The obtained results demonstrate that the RBF-FDTD is always more accurate than the traditional FDTD, in particular with the optimal shape parameter.

This paper presents an application of the Radial Basis Function – Based Finite Difference Method (RBF-FD) to solving the electrical transient problems defined by the time-dependent ordinary differential equations. In this method, the finite difference approximations of first- and second-order derivatives in time domain are formalated the same as those in space domain based on the MQ (Multiquadrics) function presented in [1]. The MQ RBF-FD method are for the sake of evaluating the accuracy, effectiveness and applicability used to compute the transient voltages on the benchmark circuit and 220 kV three-phase transmission line of Viet Nam. Our numerical results are compared with those obtained by the analytical method, the traditional FD method and ATP/EMTP software. The compared results have been shown that the MQ RBF-FD method has accuracy that is higher than ones of the traditional numerical methods, especially with the optimal shape parameter.