The electrical machine problem solved by a mixed finite and natural element method

In this paper, a Mixed Method using the Finite Element (FEM) and the meshless Natural Element Method (NEM) is used to determine the magnetic flux distribution in magnetic circuit of an electrical machine. In this solution, the NEM is applied exclusively in the gap of the machine where the largest deformations of the mesh are expected when the movement occurs. Due the use of anti-periodic boundary conditions, only 1/4 of machine is modeled reducing the computational cost. The error estimator and computational time by using the FEM, the NEM and the mixed FEM-NEM are obtained and compared.