Enhanced Current Tracking in Permanent Magnet Synchronous Motors via Optimal Control Strategies

https://doi.org/10.58571/CNCA.AMCA.2025.059

Resumen: This work addresses the problem of current optimization control for synchronous motors using the well-known Maximum Torque Per Ampere (MTPA) strategy integrated with a Passivity-Based Control (PBC) that guarantees the convergence to the optimal currents. First, a current tracking control scheme based on the PBC is implemented by exploiting the system’s structure and decomposing it into its subsystems to ensure reference current convergence. Then the optimization procedure is explained in detail, step by step, using the Lagrange multipliers method for an interior permanent magnet synchronous motor (IPMSM) with constant inductances, enabling the current tracking control to achieve optimal performance. Finally, the proposed approach is validated through numerical simulations conducted in MATLAB®/Simulink® environment.

¿Cómo citar?

Ramos-García, F., Escobar-Tufiño, M., Rueda, J. & Espinosa-Pérez, G. (2025). Enhanced Current Tracking in Permanent Magnet Synchronous Motors via Optimal Control Strategies. Memorias del Congreso Nacional de Control Automático 2025, pp. 343-348. https://doi.org/10.58571/CNCA.AMCA.2025.059

Palabras clave

Current Control, Optimization, Maximum Torque per Ampere, Permanent Magnet Synchronous Motor, Passivity Based Control.

• Alzayed, M., Chaoui, H., and Farajpour, Y. (2023). Dynamic Direct Voltage MTPA Current Sensorless Drives for Interior PMSM-Based Electric Vehicles. IEEE Transactions on Vehicular Technology, 72(3), 3175–3185. doi:10.1109/TVT.2022.3219763.
• Bonifacio, J. and Kennel, R.M. (2018). On Considering Saturation and Cross-Coupling Effects for Copper Loss Minimization on Highly Anisotropic Synchronous Machines. IEEE Transactions on Industry Applications, 54(5), 4177–4185. doi:10.1109/TIA.2018.2836326.
• Dianov, A., Tinazzi, F., Calligaro, S., and Bolognani, S. (2022). Review and Classification of MTPA Control Algorithms for Synchronous Motors. IEEE Transactions on Power Electronics, 37(4), 3990–4007. doi: 10.1109/TPEL.2021.3123062.
• Fujii, K. (2003). A Modern Introduction to Cardano and Ferrari Formulas in the Algebraic Equations. doi: 10.48550/ARXIV.QUANT-PH/0311102. Publisher: arXiv Version Number: 2.
• Halder, S., Agarwal, P., and Srivastava, S. (2015). Comparative analysis of MTPA and ZDAC control in PMSM drive. In 2015 Annual IEEE India Conference (INDICON), 1–5. IEEE, New Delhi, India. doi: 10.1109/INDICON.2015.7443809.
• Halder, S., Srivastava, S., and Agarwal, P. (2014). Flux weakening control algorithm with MTPA control of PMSM drive. In 2014 IEEE 6th India International Conference on Power Electronics (IICPE), 1–5. IEEE, Kurukshetra, India. doi:10.1109/IICPE.2014.7115810.
• Inoue, T., Inoue, Y., Morimoto, S., and Sanada, M. (2015). Mathematical Model for MTPA Control
  of Permanent-Magnet Synchronous Motor in Stator Flux Linkage Synchronous Frame. IEEE Transactions on Industry Applications, 51(5), 3620–3628. doi: 10.1109/TIA.2015.2417128.
• Khalil, H.K. (2002). Nonlinear Systems. Prentice Hall, Upper Saddle River, NJ, 3. ed edition. Num Pages: 750. Khayamy, M. and Chaoui, H. (2018). Current Sensorless MTPA Operation of Interior PMSM Drives for Vehicular Applications. IEEE Transactions on Vehicular Technology, 67(8), 6872–6881. doi: 10.1109/TVT.2018.2823538.
• Krause, P.C.,Wasynczuk, O., Sudhoff, S.D., and Pekarek, S. (2013). Analysis of electric machinery and drive systems. Wiley, Hoboken, New Jersey, third edition edition.
• Mohd Zaihidee, F., Mekhilef, S., and Mubin, M. (2019). Robust Speed Control of PMSM Using Sliding Mode Control (SMC)—A Review. Energies, 12(9), 1669. doi: 10.3390/en12091669.
• Rockafellar, R.T. (1993). Lagrange Multipliers and Optimality. SIAM Review, 35(2), 183–238. doi: 10.1137/1035044.
• Sakunthala, S., Kiranmayi, R., and Mandadi, P.N. (2018). A Review on Speed Control of Permanent
  Magnet Synchronous Motor Drive Using Different Control Techniques. In 2018 International Conference on Power, Energy, Control and Transmission Systems (ICPECTS), 97–102. IEEE, Chennai. doi: 10.1109/ICPECTS.2018.8521574.
• Simon, M.G. and Fodor, D. (2024). Comparative Analysis of Field Oriented Control and Direct Torque Control Through Simulation in MATLAB Simulink for an Automotive Drive Motor. In SMTS 2024, 33. MDPI. doi: 10.3390/engproc2024079033.