The RBF-FD and RBF-FDTD Methods for Solving Time-Domain Electrical Transient Problems in Power Systems

In this paper, the development and application of radial basis function-finite difference (RBF-FD) method RBF-finite time domain (RBF-FDTD) for solving electrical transient problems in power systems that are defined by time-dependent ordinary differential equations (ODEs) partial (PDEs), respectively, presented. RBFs such as Gaussian (GA), Multiquadric (MQ), Inverse Quadric (IQ), (IMQ) used these numerical methods to formulate central finite approximations first- second-order derivatives a function. The algorithm selecting “optimal” shape parameters our functions is also applied, specifically increase accuracy suggested with regard high needs. Finally, accuracy, effectiveness, applicability new approaches evaluated through simulations switching voltages on typical circuit 220 kV single-phase transmission line, lightning-induced 110 overhead distribution along two horizontal grounding electrodes excited lightning impulse sources. obtained results demonstrate proposed RBF-based compare favorably traditional methods.