Fast Flux Mapping of PM and Synchronous Reluctance Machines: Method Description and Comparison with Full FEA Approach

In this paper, a fast approach for the synchronous machine flux linkage mapping is proposed. In particular, the flux linkage maps $\lambda_{d}(i_{d}, i_{q})$ and $\lambda_{q}(i_{d}, i_{q})$ are obtained starting from the data at the boundaries of the current domain. A suitable approximating function of i d and i q , linked to the coenergy variation due to the cross-saturation, is defined. The derivation of the analytical function which predicts the cross saturation, leads to a fast prediction of the flux maps. The data along the boundaries is the only input data which requires simulations or measurements. The method is applied to predict the flux linkage maps of different types of synchronous machines with different rotor topologies, in order to test the generality of the proposed method.