【目的】针对直流母线电压比为3∶1的非共母线开绕组永磁同步电机单矢量模型预测电流控制(MPCC)需要遍历控制集中所有电压矢量，导致计算负担较大的问题，提出了一种基于无差拍控制的有限控制集模型预测控制(FCS-MPC)策略。通过细分扇区，精简控制集，减少电压矢量遍历次数，提高实时性。【方法】首先，通过建立扇区判别式，判断电压矢量对应扇区位置；再根据电压矢量幅值，将相应扇区分为2个子扇区；从而在精简控制集的同时也避免引入角度运算增加计算量，影响判断准确性，提升计算效率；最后，将电机定子dq轴电流参考值与实际值的误差作为价值函数不断滚动优化，选择最优电压矢量。【结果】为验证所提方法的有效性，通过仿真进行对比分析。结果表明，所提FCS-MPC策略与传统MPCC方法在稳态性能方面大致相同，两种控制方法的转速波动和电流波动基本一致；在计算效率方面，相较于传统MPCC方法，所提MPCC方法的电压矢量的迭代次数由49次缩减为4~5次，减少了50%，所提方法能够有效降低了传统控制方法的计算负担。【结论】所提方法比传统控制方法的响应速度更快，所需遍历时间更短。

[Objective] Aiming at the problem that the single vector model predictive current control (MPCC) of the non-common bus open-winding permanent magnet synchronous motor with DC bus voltage ratio of 3∶1 needs to traverse all voltage vectors in the control set, which leads to a large computational burden, a finite control set predictive current control (FCS-MPC) strategy based on deadbeat control is proposed. By subdividing sectors, simplifying the control set, reducing the number of voltage vector traversals, and improving real-time performance. [Methods] Firstly, the position of the voltage vector corresponding to the sector was judged by establishing the sector discriminant. According to the voltage vector amplitude, the corresponding sector was divided into two sub-sectors. So as to simplify the control set while avoided the introduction of angle operation to increase the amount of calculation, affected the accuracy of judgment, and improved the computational efficiency. Then, the error between the reference value and the actual value of the dq axis current of the motor stator was used as the value function to continuously optimize and select the optimal voltage vector. [Results] To verify the effectiveness of the proposed FCS-MPC strategy, a comparative analysis was conducted through simulation. The results showed that the proposed method was similar to the traditional MPCC method in terms of steady-state performance, and the rotational speed fluctuation and current fluctuation of the two control methods were basically the same. In terms of computational efficiency, compared with the traditional MPCC method, the iteration times of the voltage vector of the proposed MPCC method had been reduced from 49 times to 4~5 times, a reduction of 50%. The proposed method could effectively reduce the computational burden of the traditional control method. [Conclusion] The simulation results show that the proposed method has a faster response speed and a shorter time than the traditional control method.

国家自然科学基金(52177054,52207064);辽宁省应用基础研究计划项目(2023JH2/101600001)