Analytic Solutions of Model Predictive Current Control for SPMSM Drives

In this paper, we present analytic solutions for Model Predictive Control (MPC) applied to the current control of Surface-mounted Permanent Magnet Synchronous Motor (SPMSM) drives. A key challenge in applying MPC to motor current control is solving the constrained optimization problem in real time. To address this, we develop an explicit procedure based on planar geometric projections to solve the problem efficiently. The correctness of our method is validated through comparisons with standard numerical solvers. Experimental results demonstrate that our algorithm can be implemented on low-cost hardware with rapid execution, supporting long prediction and control horizons while delivering fast dynamic response and low total harmonic distortion (THD) at steady state. These advantages make it suitable for both high-speed servo systems and budget-sensitive applications.