Modeling and Predictive Control of PMSM Considering Eddy-Current Reaction by Vector Magnetic Circuit Theory

In this article, a new model has been derived for the three-phase permanent magnet synchronous motor (PMSM) considering the eddy-current reaction by using the vector magnetic circuit (VMC) theory. The eddy-current reaction in the stator core is described by a magnetic component, i.e., magnetic-inductance (magductance) in the magnetic circuit of PMSM. Consequently, the stator flux linkage equation is calculated by the VMC and thus the stator voltage equation considering the eddy-current reaction is established. The proposed VMC-based modeling method offers a clear derivation of eddy-current reaction effect and a more accurate calculation of stator flux linkage for the modeling of PMSM. Thus, concise dynamic voltage equations can be available for improving the predictive control of PMSM. The deadbeat predictive current control (DPCC) and trajectory extrapolated model predictive control (MPC) schemes are selected as typical application cases to verify the effectiveness of the proposed VMC-based PMSM model. Experimental results have been given to verify that the prediction accuracy of stator current is increased and the performance of DPCC and MPC is improved with the proposed VMC-based PMSM model.