Solving Transient Eddy Current Problems with Radial Basis Function Method in Frequency Domain

This paper proposed the frequency domain Radial Basis Function (RBF) method for transient eddy problems. It combines the RBF collocation and the Fourier transforms technique. And the RBF method is utilized to solve the frequency model so as to obtain the approximate solution in the frequency domain. While the Fourier transform realizes the time and frequency transformation. On the basis of proper time-frequency parameter settings and the mono-frequency harmonic field solution by the RBF method, the frequency domain solutions are obtained and then transformed into time domain solutions. The numerical simulation of the transient magnetic field in the aluminum flake board showed that the method is feasible and effective. In addition, the method can maintain good precision under large time and space interval because of the RBF’s good approach's ability.