Effective Material and Static Magnetic Field for the 2-D/1-D-Problem of Laminated Electrical Machines

To facilitate simulations in the design of electrical machines with a laminated core, often only a slice model is considered instead of the entire machine. We propose a method where the expensive 3-D eddy current problem (ECP) of the slice model is replaced by a cheap static magnetic field problem (SMFP) with an effective material (EM) in a 2-D finite element (FE) model. The EM is obtained by solving suitable cell problems (CPs). Losses and reactive powers are assumed to be the same in the CPs. The method with the EM is very efficient and accurate compared with the ECP as shown by numerical simulations of an electrical machine. Voltage excitation of the machine is considered, i.e., the FE model is coupled with an external circuit.