A new simulation approach of the electromagnetic fields in electrical machines

Abstract

Theoretical researches and simulation results, which based on numerical realization of the finite element method of three-dimensional mathematical model of the induction motor are obtained. The regularities of the distribution of the induction and magnetic field energy in the short-circuit mode and their quantitative relation for active zone and the area of the coil ends of the stator windings of the low-power asynchronous motors are defined. A new approach for three-dimensional simulation of the electromagnetic process in the induction motor, which consists in differentiating the size of the finite elements and use of approximation functions of Lagrange polynomials, witch based on finite element method are realized. It provides high convergence of numerical realization of transient processes short-circuit mode, reducing the computation time, the requirements for computing resources and high simulation accuracy. Comparison of the energy values of magnetic field of the induction motor in short-circuit mode shows, that for Lagrange polynomials approximating the first degree, the relative error did not exceed 3,8% as compared with approximating polynomials of the third degree, while reducing the calculation time in 389 times and requirements for the computational resources — up to 10 times.