Model Predictive Control for the Wound Rotor Synchronous Machine using Piecewise Affine Flux Maps

High-performance control of Wound Rotor Synchronous Machines (WRSM) motor drives requires a nonlinear magnetic model that captures magnetic saturation and cross saturation. This includes Model Predictive Control (MPC), which has proven to be effective with similar synchronous machines such as the Permanent Magnet Synchronous Machine (PMSM). Varying the inductance depending on machine operating point is modelled using Piecewise Affine (PWA) Functions in the form of Look up Tables (LUTs). PWA functions are used to create virtual-flux in the r, d, and q-axis of the WRSM but can be extended to account for other effects such as damper windings, and zero-sequence current. A closed-loop virtual-flux Constrained Finite Time Optimal Control (CFTOC) MPC controller is formulated using PWA in the state space equations, and a simulated setup demonstrates the feasibility of the concept.