Stable Single Vector Control Strategy of Permanent Magnet Synchronous Motor Based on Backstepping Control
Yu Yang1,2, Zhang Qianhui1,2, Yu Zongzhe1,2, Mi Zengqiang1,2
1. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University Baoding 071003 China; 2. Key Laboratory of Distributed Energy Storage and Microgrid of Hebei Province North China Electric Power University Baoding 071003 China
Abstract：The traditional single-vector control of permanent magnet synchronous motors traverses all basic vectors and ignores the control stability. This paper proposes a stable single-vector control strategy based on backstepping control. Firstly, the mathematical model of permanent magnet synchronous motors under the dq0 coordinate system is established, and the conventional backstepping controller is derived. The switch vector expression under the dq0 coordinate system is obtained. A basic voltage vector in each control cycle is required for the six sectors to keep the control system stable. Then, according to the control voltage obtained by the conventional backstepping controller, the sector of the optimal voltage vector is determined. The selection method of the optimal basic voltage vector is proposed. That is, the derivatives corresponding to the Lyapunov function in the three basic voltage vectors are compared in pairs, the basic voltage vector corresponding to the minimum derivative value of the Lyapunov function is selected as the optimal basic voltage vector, and the basic voltage vector derivative difference strategy table of the six sectors is given. Thus, the switching state is determined. Finally, the control performance of different basic voltage vectors, including the optimal basic voltage vector, is compared. Simulation verification is carried out. The results show that the proposed control strategy is cost-effective. When driving constant or variable torque load, the proposed control strategy effectively tracks the reference speed, which has strong stability and small output fluctuations. Suppose the optimal voltage vector is not used, but a voltage vector is arbitrarily selected for switching control. In this case, the speed and current errors become more extensive, and the control effect is significantly worse, further proving the effectiveness of the proposed control strategy. In addition, when the motor resistance and inductance parameters deviate from the rated value, the control strategy can maintain a small speed tracking error and has good robustness. An experimental platform is constructed for permanent magnet synchronous motors to drive spiral spring load. The results show that the proposed control strategy still effectively tracks the reference speed when driving variable torque and variable inertia spiral spring loads. Compared with the traditional model of predictive current control, it has more robust stability and minor output fluctuations.
余洋, 张千慧, 余宗哲, 米增强. 基于反推控制的永磁同步电机稳定性单矢量控制策略[J]. 电工技术学报, 2024, 39(14): 4377-4390.
Yu Yang, Zhang Qianhui, Yu Zongzhe, Mi Zengqiang. Stable Single Vector Control Strategy of Permanent Magnet Synchronous Motor Based on Backstepping Control. Transactions of China Electrotechnical Society, 2024, 39(14): 4377-4390.
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