建立了定子磁链坐标系下表贴式永磁同步电机(PMSM)磁链与转矩变化量简化计算模型，针对直接转矩控制（DTC）转矩脉动较大的问题，提出磁链和转矩无差拍（DB）控制。基于简化计算模型，推导出DB控制的理想电压矢量，并采用模型预测控制（MPC）技术实现DB控制。为了提升系统性能，提出一种基于角度拓展电压矢量的方法，将备选电压矢量数目增加到37个，并通过判断理想电压角度减少了计算负担。采用查表方式直接生成电压矢量，无需空间矢量调制（SVM）计算，提高系统实时性能。仿真结果表明：拓展电压矢量集合可降低转矩脉动。为了进一步减低磁链与转矩脉动，提出一种基于角度与幅值的电压矢量拓展方法，仅需判断电压矢量角度和幅值是否接近理想状态，查表即可产生幅值任意的电压矢量。仿真结果表明：该方法可进一步显著减小磁链和转矩脉动。

Simplified models to calculate the change of torque and flux of surface permanent magnet synchronous motor (PMSM) on stator flux coordinate system are proposed. In order to solve the problem of high torque ripple in direct torque control (DTC) system, dead-beat (DB) control of flux and torque is proposed. The calculation of ideal voltage vector for the DB control of flux and torque using simplified models is given and model predictive control (MPC) is used to implement the DB control. In order to improve the control performance of the system, the method to extend voltage vectors set is proposed, which can increase the number of candidate voltage vectors from 7 to 37. According to the angle of ideal voltage vectors, extended voltage vectors set does not add calculation burden. Look-up table is used to output voltage vector instead of space vector modulation (SVM) to improve the real-time performance. Simulation results show that extended voltage vectors set can decrease torque ripple. In order to further suppress flux and torque ripple, a novel method to expand voltage vectors is proposed. The angle and amplitude of ideal voltage vector are used to evaluate the angle and amplitude of the output voltage vector and look-up table is still used to output voltage vector with arbitrary value. Simulation results show that the novel method can effectively decrease flux and torque ripple.

国家自然科学基金项目(51207012);陕西省工业科技攻关项目(2016GY-069);陕西省自然科学基金项目(2020JQ-385);中央高校基本科研业务费专项资金项目(300102228201