Torque Control and Simulation Analysis of a Symmetrical Six-Phase PMSM
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摘要: 为改善多相电机转矩控制策略性能,以对称六相永磁同步电机为研究对象，结合其结构和绕组分布特点建立自然坐标系下数学模型。由于多相电磁耦合下计算复杂，推导出旋转坐标系下的矢量变换模型。针对多相电机启动转矩波动较大现象，提出一种新的基于空间矢量脉宽调制（SVPWM）技术的直接转矩控制(DTC)策略。在MATLAB/Simulink环境下，对电机的矢量解耦变换下的数学模型进行仿真研究。结果表明，相比于传统直接转矩控制，所设计的新算法对电机电磁转矩、磁链等方面具有更好的抗扰动性和调控性能，验证了所开发控制算法的有效性和可行性。Abstract: In order to improve the performance of multi-phase motor torque control strategy, the symmetrical six-phase permanent magnet synchronous motor was taken as the research object. On the basis of its structure and winding distribution characteristics, a mathematical model in a natural coordinate system was established. In view of the complexity of calculation under multiphase electromagnetic coupling, the vector transformation model under the rotating coordinate system was derived. In consideration of the large starting torque fluctuation of multiphase motors, a new direct torque control (DTC) strategy based on SVPWM technology was proposed. In the MATLAB/Simulink environment, the mathematical model under the vector decoupling transformation of the motor was simulated. The results showed that the proposed control algorithm presented better anti-disturbance and regulation performance on the motor electromagnetic torque, flux linkage and other parameters than the traditional direct torque control. The study demonstrates the effectiveness and feasibility of the developed control algorithm.
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图 1 六相PMSM内部电磁结构图
Figure 1. Internal electromagnetic structure diagram of six-phase PMSM
图 2 三相同步电机变换示意图
Figure 2. Schematic diagram of three-phase synchronous motor conversion
图 3 六相电压空间矢量相位关系图
Figure 3. Relationship diagram of six-phase voltage space vector phase
图 6 对称六相PMSM调速控制系统电路示意图
Figure 6. Schematic diagram of the speed control system circuit of symmetrical six-phase PMSM
图 7 对称六相PMSM空间电压矢量分布图
Figure 7. Space voltage vector distribution diagram of symmetrical six-phase PMSM
图 12 电机不同控制策略下各参数波形图
Figure 12. Waveforms of various parameters under different motor control strategies
图 13 不同转矩下的模型参数仿真结果
Figure 13. Simulation results of model parameters under different torques
表 1 各扇区间电压矢量开关表
Table 1. Voltage vector switch table between sectors
Sector 1 2 3 4 5 6 F T ↑ ↑ ↑ V56 V28 V14 V7 V35 V49 ↑ V58 V20 V46 V5 V43 V17 ↑ ↓ V42 V21 V42 V21 V42 V21 ↓ V43 V17 V58 V20 V46 V5 ↓ ↓ V35 V49 V56 V28 V14 V7 ↓ ↑ ↑ V28 V14 V7 V35 V49 V56 ↑ V20 V46 V5 V43 V17 V58 ↑ ↓ V21 V42 V21 V42 V21 V42 ↓ V5 V43 V17 V58 V20 V46 ↓ ↓ V7 V35 V49 V56 V28 V14 
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表 2 仿真参数表
Table 2. Simulation parameter table
Stator
resistance/ΩLd/
mHLq/
mHLz/
mHψγ/
WbMoment of inertia/(kg·m2) B pn 1.5 8.2 8.2 1.7 0.68 0.015 0.008 3 B—Damping coefficient; pn—Number of pole pairs
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