Application of Magnetic Scalar Potential Volume Integral Method in Nonlinear Magnetostatic Problems

Abstract

This paper describes an improved method based on the Magnetic Scalar Potential Volume Integral Method (MSP-VIM) to solve 3-D nonlinear magnetostatic problems. The impedance matrix generated by the Method of Moment (MoM) is separated into constant part and nonlinear part. Moreover, the constant part is further compressed with Multilevel Singular Value Decomposition (MLSVD). Besides, the simplified calculation for symmetrical structure is applied to decrease the unknowns and reduce matrix dimension. Consequently, the iterative solution of nonlinear problems becomes easy and fast. The accuracy and efficiency of the proposed method are demonstrated by numerical examples.