Continuous Model Predictive Control for the Direct Torque Control of a PM Synchronous Motor

https://doi.org/10.58571/CNCA.AMCA.2022.067

Resumen: This paper presents the application of the continuous model predictive control (C-MPC) for the direct torque control (DTC) of a permanent magnet synchronous motor (PMSM). The C-MPC is designed for the direct regulation of the components of the stator flux and the electromagnetic torque of the PMSM. A linear state-space model based on a feedback linearization of the PMSM is used to formulate the controller. The control signals are applied to the PMSM via a power inverter through a pulse width modulator (PWM). The proposed controller is formulated as a constrained optimization problem, where the voltage applied to the motor is selected as the control input and restricted to the power inverter’s linear region. Simulation results are presented to demonstrate the effectiveness of the proposed control scheme.

¿Cómo citar?

F. González Sáenz, O. Sandre Hernández & J. P. Ordaz Oliver. Continuous Model Predictive Control for the Direct Torque Control of a PM Synchronous Motor. Memorias del Congreso Nacional de Control Automático, pp. 421-426,  2022. https://doi.org/10.58571/CNCA.AMCA.2022.067

Palabras clave

Sistemas Electrónicos de Potencia; Sistemas Electromecánicos; Control Óptimo

• Borrelli, F., Bemporad, A., and Morari, M. (2017). Predictive control for linear and hybrid systems. Cambridge University Press.
• Choi, Y.S., Choi, H.H., and Jung, J.W. (2016). Feedback linearization direct torque control with reduced torque and flux ripples for ipmsm drives. IEEE Transactions on Power Electronics, 31(5), 3728–3737. doi:10.1109/TPEL.2015.2460249.
• Finch, J.W. and Giaouris, D. (2008). Controlled ac electrical drives. IEEE Transactions on Industrial Electronics, 55(2), 481–491. doi:10.1109/TIE.2007.911209.
• Hammoud, I., Hentzelt, S., Xu, K., Oehlschlaegel, T., Abdelrahem, M., Hackl, C.M., and Kennel, R. (2022). On continuous set model predictive control of permanent magnet synchronous machines. IEEE Transactions on Power Electronics, 1–1. doi:10.1109/TPEL.2022.3164968.
• Iusem, A.N. and De Pierro, A.R. (1990). On the convergence properties of hildreth’s quadratic programming algorithm. Mathematical programming, 47(1), 37–51.
• Karamanakos, P., Liegmann, E., Geyer, T., and Kennel, R. (2020). Model predictive control of power electronic systems: Methods, results, and challenges. IEEE Open Journal of Industry Applications, 1, 95–114. doi:10.1109/OJIA.2020.3020184.
• Kim, S.K., Kim, J.S., and Lee, Y.I. (2013). Model predictive control (mpc) based direct torque control (dtc) of permanent magnet synchronous motors (pmsms). In 2013 IEEE International Symposium on Industrial Electronics, 1–6. doi:10.1109/ISIE.2013.6563637.
• Kim, S.K., Park, H.S., Han, J.H., and Lee, Y.I. (2014). Stabilizing model predictive control for torque control of permanent magnet synchronous motor. In Proceedings of the 33rd Chinese Control Conference, 7772–7777. doi:10.1109/ChiCC.2014.6896297.
• Krishnan, R. (2017). Permanent magnet synchronous and brushless DC motor drives. CRC press.
• Lascu, C., Boldea, I., and Blaabjerg, F. (2012). Direct torque control via feedback linearization for permanente magnet synchronous motor drives. In 2012 13th International Conference on Optimization of Electrical and Electronic Equipment (OPTIM), 338–343. doi:10.1109/OPTIM.2012.6231973.
• Li, H., Wang, Z., Xu, Z., Wang, X., and Hu, Y. (2021). Feedback linearization based direct torque control for ipmsms. IEEE Transactions on Power Electronics, 36(3), 3135–3148. doi:10.1109/TPEL.2020.3012107.
• Moreno Beltran, J.P., Sandre Hernandez, O., Morales Caporal, R., Ordaz-Oliver, P., and Cuvas-Castillo, C. (2020). Model predictive torque control of an induction motor with discrete space vector modulation. In 2020 17th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), 1–6. doi:10.1109/CCE50788.2020.9299193.
• Nguyen, H.T. and Jung, J.W. (2018). Finite control set model predictive control to guarantee stability and robustness for surface-mounted pm synchronous motors. IEEE Transactions on Industrial Electronics, 65(11), 8510–8519. doi:10.1109/TIE.2018.2814006.
• Sandre-Hernandez, O., Rangel-Magdaleno, J., and Morales-Caporal, R. (2018). A comparison on finite set model predictive torque control schemes for pmsms. IEEE Transactions on Power Electronics, 33(10), 8838–8847. doi:10.1109/TPEL.2017.2777973.
• Wallscheid, O. and Ngoumtsa, E.F.B. (2020). Investigation of disturbance observers for model predictive current control in electric drives. IEEE Transactions on Power Electronics, 35(12), 13563–13572. doi:10.1109/TPEL.2020.2992784.
• Wang, L. (2009). Model predictive control system design and implementation using MATLAB®. Springer Science & Business Media.
• Xie, W., Wang, X., Wang, F., Xu, W., Kennel, R.M., Gerling, D., and Lorenz, R.D. (2015). Finite-control-set model predictive torque control with a dead-beat solution for pmsm drives. IEEE Transactions on Industrial Electronics, 62(9), 5402–5410. doi:10.1109/TIE.2015.2410767.
• Zhu, G., Dessaint, L.A., Akhrif, O., and Kaddouri, A. (2000). Speed tracking control of a permanent-magnet synchronous motor with state and load torque observer. IEEE Transactions on Industrial Electronics, 47(2), 346–355. doi:10.1109/41.836350.