Abstract:The three-level multi-phase drive system combines the advantages of multi-phase motors and three-level inverters. However, midpoint voltage imbalance and excessive zero-sequence current exist. Midpoint voltage imbalance can lead to output voltage distortion, while excessive zero-sequence current can cause distortion of the stator current and increased losses. Direct torque control (DTC) requires minimal dependence on motor parameters, with a simple algorithm and strong adaptability to load changes. However, research based on DTC theory is still relatively rare. The symmetrical six-phase permanent magnet synchronous motor (PMSM) has high efficiency, a fast response rate among multi-phase motors, and superior fault tolerance. Therefore, this paper proposes a DTC strategy for a symmetrical six-phase PMSM powered by a T-type three-level inverter to balance midpoint voltage and suppress zero-sequence current. Firstly, by using a spatial vector projection method to remove the redundant switching states in the switching state, the switching states are reduced from 729 to 189. Secondly, based on the three-phase PMSM-DTC structure powered by the two-level inverter, the scheme synthesizes four voltage vectors to meet the control requirements on the six-phase axis using the simplified switching state. In addition, by combining flux linkage and torque hysteresis comparator with simple sector division, the axis of the optimal voltage vector is determined, and the midpoint voltage and zero-sequence current control plane are constructed. The sector where the system is located in the control plane is judged. According to the polarity of the winding phase current iy of the optimal voltage vector, the optimal voltage vector selection is realized, and the optimal switch vector table of DTC is further constructed. Steady-state comparative experiments are conducted. Compared to the traditional approach, the proposed method maintains a balanced midpoint voltage, effectively suppresses zero-sequence current to approximately 0 A, and significantly sinusoidalize phase current. Steady-state running experiments are conducted at different speeds and loads to investigate the steady-state performance of the motor. The results show that zero-sequence current is effectively suppressed to approximately 0 A, and the midpoint voltage remains balanced. Speed step and sudden load change experiments are performed to validate the dynamic performance of the motor. The results demonstrate that the zero-sequence current can still be well controlled around 0 A, even during speed steps and sudden load changes. Although the midpoint voltage may fluctuate slightly, it can be quickly adjusted to a balanced state. The following conclusions can be drawn. This paper proposes a DTC strategy for a symmetrical six-phase PMSM powered by a T-type three-level inverter, addressing the control of |ψs| and Te, midpoint voltage balance, and zero-sequence current suppression.
[1] Levi E.Multiphase electric machines for variable- speed applications[J]. IEEE Transactions on Indu- strial Electronics, 2008, 55(5): 1893-1909. [2] Cao Wenping, Mecrow B C, Atkinson G J, et al.Overview of electric motor technologies used for more electric aircraft (MEA)[J]. IEEE Transactions on Industrial Electronics, 2012, 59(9): 3523-3531. [3] 孙玉华, 赵文祥, 吉敬华, 等. 高转矩性能多相组永磁电机及其关键技术综述[J]. 电工技术学报, 2023, 38(6): 1403-1420. Sun Yuhua, Zhao Wenxiang, Ji Jinghua, et al.Overview of multi-star multi-phase permanent magnet machines with high torque performance and its key technologies[J]. Transactions of China Electrotech- nical Society, 2023, 38(6): 1403-1420. [4] 周长攀, 刘海峰, 景国秀, 等. 双三相永磁同步电机缺相容错运行虚拟矢量间接修正方法及其在直接转矩控制中应用[J]. 电工技术学报, 2023, 38(2): 451-464. Zhou Changpan, Liu Haifeng, Jing Guoxiu, et al.The indirect correction method of virtual vectors for dual three-phase permanent magnet synchronous motors under the open-phase fault and its application in the direct torque control[J]. Transactions of China Electrotechnical Society, 2023, 38(2): 451-464. [5] 孙嘉伟, 郑泽东, 李驰, 等. 对称型多相电机断相容错运行下的电流谐波分析与补偿[J]. 电工技术学报, 2022, 37(21): 5424-5434. Sun Jiawei, Zheng Zedong, Li Chi, et al.Analysis and compensation of current harmonics in symmetrical multiphase machines in fault-tolerant operation against open-phase faults[J]. Transactions of China Electrotechnical Society, 2022, 37(21): 5424-5434. [6] Karttunen J, Kallio S, Peltoniemi P, et al.Decoupled vector control scheme for dual three-phase permanent magnet synchronous machines[J]. IEEE Transactions on Industrial Electronics, 2014, 61(5): 2185-2196. [7] Yang Jiaqiang, Hu Haofeng, Huang Jin.Electronic pole changing technique of multiphase induction motor based on vector control[J]. International Transactions on Electrical Energy Systems, 2013, 23(7): 901-913. [8] 陈涛, 周扬忠, 屈艾文, 等. 基于旋转高频电压注入的六相串联三相永磁同步电机系统转子初始位置解耦观测[J]. 电工技术学报, 2023, 38(8): 2073-2085. Chen Tao, Zhou Yangzhong, Qu Aiwen, et al.Decoupling observation of rotor initial position of six-phase and three-phase permanent magnet syn- chronous motors series-connected system based on rotating high-frequency voltage injection[J]. Transa- ctions of China Electrotechnical Society, 2023, 38(8): 2073-2085. [9] Ren Yuan, Zhu Z Q.Enhancement of steady-state performance in direct-torque-controlled dual three- phase permanent-magnet synchronous machine drives with modified switching table[J]. IEEE Transactions on Industrial Electronics, 2015, 62(6): 3338-3350. [10] 黄林森, 赵文祥, 吉敬华, 等. 稳态性能改善的双三相永磁电机直接转矩控制[J]. 电工技术学报, 2022, 37(2): 355-367. Huang Linsen, Zhao Wenxiang, Ji Jinghua, et al.Direct torque control for dual three-phase permanent- magnet machine with improved steady-state perfor- mance[J]. Transactions of China Electrotechnical Society, 2022, 37(2): 355-367. [11] Cao B, Grainger B M, Wang Xin, et al.Direct torque model predictive control of a five-phase permanent magnet synchronous motor[J]. IEEE Transactions on Power Electronics, 2021, 36(2): 2346-2360. [12] 冯腾, 康龙云, 胡毕华, 等. 基于无差拍控制的T型三电平逆变器中点电位平衡策略[J]. 电工技术学报, 2018, 33(8): 1827-1834. Feng Teng, Kang Longyun, Hu Bihua, et al.A neutral point potential balancing strategy for three-level T-type inverter based on deadbeat control[J]. Transactions of China Electrotechnical Society, 2018, 33(8): 1827-1834. [13] 陈隆, 周扬忠. 一种基于虚拟矢量的T型三电平并网逆变器改进型模型预测控制策略[J]. 电气技术, 2022, 23(11): 37-43. Chen Long, Zhou Yangzhong.An improved model predictive control based on virtual space vector for T-type three-level grid-connected inverters[J]. Elec- trical Engineering, 2022, 23(11): 37-43. [14] 王金平, 刘斌, 董浩, 等. 中点钳位型三电平逆变器基于调制波分解的调制策略[J]. 电工技术学报, 2023, 38(12): 3221-3233. Wang Jinping, Liu Bin, Dong Hao, et al.A modulation strategy based on modulation wave decomposition for neutral point clamped three-level inverter[J]. Transactions of China Electrotechnical Society, 2023, 38(12): 3221-3233. [15] Vancini L, Mengoni M, Rizzoli G, et al.Voltage balancing of the DC-link capacitors in three-level T-type multiphase inverters[J]. IEEE Transactions on Power Electronics, 2022, 37(6): 6450-6461. [16] Gao Liliang, Fletcher J E.A space vector switching strategy for three-level five-phase inverter drives[J]. IEEE Transactions on Industrial Electronics, 2010, 57(7): 2332-2343. [17] Dordevic O, Levi E, Jones M.A vector space decomposition based space vector PWM algorithm for a three-level seven-phase voltage source inverter[J]. IEEE Transactions on Power Electronics, 2013, 28(2): 637-649. [18] Engku Ariff E A R, Dordevic O, Jones M. A space vector PWM technique for a three-level symmetrical six-phase drive[J]. IEEE Transactions on Industrial Electronics, 2017, 64(11): 8396-8405. [19] 陈健, 王政, 程明. 一种基于矢量空间解耦的三电平六相逆变器空间矢量调制策略[J]. 电工技术学报, 2016, 31(9): 101-111. Chen Jian, Wang Zheng, Cheng Ming.Design of a space vector modulation strategy based on vector space decomposition for three-level six-phase inverters[J]. Transactions of China Electrotechnical Society, 2016, 31(9): 101-111. [20] 王一波, 王政. 一种新型基于矢量空间解耦的多相三电平逆变器空间矢量调制策略[J]. 中国电机工程学报, 2018, 38(11): 3316-3324. Wang Yibo, Wang Zheng.A novel vector space decomposition based space vector modulation strategy for multiphase three-level inverter[J]. Proceedings of the CSEE, 2018, 38(11): 3316-3324. [21] 王学庆, 王政, 程明. T型三电平逆变器馈电双三相PMSM直接转矩控制[J]. 电工技术学报, 2017, 32(增刊1): 116-123. Wang Xueqing, Wang Zheng, Cheng Ming.Direct torque control of T-type three-level inverter fed dual three-phase PMSM drives[J]. Transactions of China Electrotechnical Society, 2017, 32(S1): 116-123. [22] Hu Yashan, Zhu Ziqiang, Liu Kan.Current control for dual three-phase permanent magnet synchronous motors accounting for current unbalance and harmonics[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2014, 2(2): 272-284.