Analytical flux linkage and EMF calculation of a Transverse Flux Machine

Transverse Flux Machines (TFM) exhibit 3-D flux patterns. Their analysis and design are generally based on 3-D Finite Element Methods (FEM). Previous analytical models were mostly limited to Magnetic Equivalent Circuits (MEC). The analytical model presented in this paper is used to perform extremely fast calculation of the flux linkage and EMF of a TFM. The analytical model uses a combination of the magnetic charge and magnetic imaging techniques to represent magnetic flux distribution within the air gap of a TFM. Furthermore, a suitable method to calculate the flux linkage of the TFM had to be determined to allow EMF calculation. This resulted in an analytical model which obtains a magnetic flux distribution with less than 10% error in the air gap. The calculated EMF, and therefore the flux linkage, is within 15% accuracy compared to the EMF measured for two prototypes.