Abstract:This paper introduced a harmonic voltage model of permanent magnet synchronous motor (PMSM) on multiple rotating synchronous coordinates, considering one couple of positive and negative sequence harmonic current simultaneously. The model revealed the coupling relationship between positive harmonic voltage and negative harmonic current. By adding reference harmonic current computing module and feedforward harmonic voltage computing module to the traditional vector control system, a novel harmonic current injection system was established. In that system, the PI current controller only needed to track the direct component gain, while the gain of harmonic component was guaranteed by the feedforward harmonic voltage. Finally, two kinds of PMSM were selected as experiment objects of harmonic current injection. The results of harmonic current response from traditional PI current controller and the proposed harmonic current injection system were compared, which represented that feedforward harmonic voltage can improve the injection effect of high frequency harmonic current. In addition, the corresponding torque signals were also compared and analyzed in time and frequency domains. It illustrated that the harmonic current can be injected more precisely with feedforward harmonic voltage, thereby the torque ripple of PMSM can be reduced effectively.
钟再敏, 江尚, 康劲松, 陈雪平, 周英坤. 永磁同步电机谐波电压与电流的耦合模型及前馈控制[J]. 电工技术学报, 2017, 32(18): 131-142.
Zhong Zaimin, Jiang Shang, Kang Jinsong, Chen Xueping, Zhou Yingkun. A Harmonic Voltage and Current Coupling Permanent Magnet Synchronous Motor Model and Feedforward Control. Transactions of China Electrotechnical Society, 2017, 32(18): 131-142.
[1] 张岳, 曹文平, John Morrow. 电动车用内置式永磁电机(PMSM)设计[J]. 电工技术学报, 2015, 30(14): 108-115. Zhang Yue, Cao Wenping, John Morrow. Design of an interior permanent magnet synchronous motor (PMSM) for EV traction[J]. Transactions of China Electrotechnical Society, 2015, 30(14): 108-115. [2] 李红梅, 陈涛, 姚宏洋.电动汽车PMSM退磁故障机理、诊断及发展[J]. 电工技术学报, 2013, 28(8): 276-284. Li Hongmei, Chen Tao, Yao Hongyang. Mechanism, diagnosis and development of demagnetization fault for PMSM in electric vehicle[J]. Transactions of China Electrotechnical Society, 2013, 28(8): 276-284. [3] Azar Z, Zhu Z Q, Ombach G. Influence of electric loading and magnetic saturation on cogging torque, back-EMF and torque ripple of PM machines[J]. IEEE Transactions on Magnetics, 2012, 48(10): 2650-2658. [4] Jahns T M, Soong W L. Pulsating torque mini- mization techniques for permanent magnet AC motor drives—a review[J]. IEEE Transactions on Industrial Electronics, 1996, 43(2): 321-330. [5] Lu Y S, Lin S M, Hauschild M, et al. A torque-ripple compensation scheme for harmonic drive systems[J]. Electrical Engineering, 2013, 95(4): 357-365. [6] Erken F, Öksüztepe E, Kürüm H. Online adaptive decision fusion based torque ripple reduction in permanent magnet synchronous motor[J]. IET Electric Power Applications, 2016, 10(3): 189-196. [7] Xia C, Deng W, Shi T, et al. Torque ripple minimization of PMSM using parameter optimization based iterative learning control[J]. Journal of Elec- trical Engineering & Technology, 2016, 11(2): 425- 436. [8] Panda S K, Xu J X, Qian W. Review of torque ripple minimization in PM synchronous motor drives[C]// Power and Energy Society General Meeting- Conversion and Delivery of Electrical Energy in the 21st Century, 2008: 1-6. [9] Lee G H. Active cancellation of PMSM torque ripple caused by magnetic saturation for EPS applications[J]. Journal of Power Electronics, 2010, 10(2): 176-180. [10] Guan B, Zhao Y, Ruan Y. Torque ripple minimization in interior PM machines using FEM and multiple reference frames[C]//The 1st IEEE Conference on Industrial Electronics and Applications, Singapore, 2006: 1-6. [11] Zhong Z M, Jiang S, Zhou Y K, et al. Active torque ripple reduction based on an analytical model of torque[J]. IET Electric Power Applications, 2016, 11(3): 331-341. [12] 许胜, 费树岷, 赵剑锋. 同步旋转坐标系中谐波电流分次控制策略[J]. 电工技术学报, 2016, 31(16): 154-162. Xu Sheng, Fei Shuming, Zhao Jianfeng. Harmonic current frequency dividing control strategy based on synchronous rotating frame[J]. Transactions of China Electrotechnical Society, 2016, 31(16): 154-162. [13] 廖勇, 甄帅, 刘刃, 等. 用谐波注入抑制永磁同步电机转矩脉动[J]. 中国电机工程学报, 2011, 31(21): 119-127. Liao Yong, Zhen Shuai, Liu Ren, et al. Torque ripple suppression of permanent magnet synchronous motor by the harmonic injection[J]. Proceedings of the CSEE, 2011, 31(21): 119-127. [14] 张树全, 戴珂, 谢斌, 等. 多同步旋转坐标系下指定次谐波电流控制[J]. 中国电机工程学报, 2010, 30(3): 55-62. Zhang Shuquan, Dai Ke, Xie Bin, et al. Selective harmonic current control based on multiple synchronous rotating coordinates[J]. Proceedings of the CSEE, 2010, 30(3): 55-62. [15] 冯伟, 孙凯, 关雅娟, 等. 孤立微电网中基于输出电压复合控制的电压源型并网逆变器谐波电流抑制策略[J]. 电工技术学报, 2016, 31(7): 72-80. Feng Wei, Sun Kai, Guan Yajuan, et al. A harmonic current suppression strategy for voltage source grid- connected inverters based on output voltage hybrid control in islanded microgrids[J]. Transactions of China Electrotechnical Society, 2016, 31(7): 72-80. [16] 杨昆, 谢川, 陈国柱. 基于频率自适应谐振控制器的静止无功发生器电流控制[J]. 电工技术学报, 2014, 29(8): 248-254. Yang Kun, Xie Chuan, Chen Guozhu. Frequency adaptive resonant controller based current control of SVG[J]. Transactions of China Electrotechnical Society, 2014, 29(8): 248-254. [17] 王贺超, 夏长亮, 阎彦, 等. 基于谐振控制的表贴式永磁同步电机弱磁区电流谐波抑制[J]. 电工技术学报, 2014, 29(9): 83-91. Wang Hechao, Xia Changliang, Yan Yan, et al. Current harmonic suppression in the flux-weakening control of surface permanent magnet synchronous motors using resonant controllers[J]. Transactions of China Electrotechnical Society, 2014, 29(9): 83-91. [18] 张学广, 马彦, 李瑞, 等. 两相静止坐标系下并网逆变器的重复控制策略[J]. 电工技术学报, 2016, 31(9): 85-91. Zhang Xueguang, Ma Yan, Li Rui, et al. Repetitive control strategy for grid-connected converters in stationary frame[J]. Transactions of China Electro- technical Society, 2016, 31(9): 85-91. [19] 魏学良, 戴珂, 方昕, 等. 三相并联型有源电力滤波器补偿电流性能分析与改进[J]. 中国电机工程学报, 2007, 27(28): 113-119. Wei Xueliang, Dai Ke, Fang Xin, et al. Performance analysis and improvement of output for three phase shunt active power filter[J]. Proceedings of the CSEE, 2007, 27(28): 113-119. [20] 张学广, 陈佳明, 张文杰, 等. 并联三相PWM变换器零序环流带宽扩展[J]. 电工技术学报, 2015, 30(18): 69-75. Zhang Xueguang, Chen Jiaming, Zhang Wenjie, et al. Circulating current loop bandwidth expansion for parallel three-phase PWM converter connection system[J]. Transactions of China Electrotechnical Society, 2015, 30(18): 69-75. [21] 王宏佳, 杨明, 牛里, 等. 永磁交流伺服系统电流环带宽扩展研究[J]. 中国电机工程学报, 2010, 30(12): 56-62. Wang Hongjia, Yang Ming, Niu Li, et al. Current loop bandwidth expansion for permanent magnet AC servo system[J]. Proceedings of the CSEE, 2010, 30(12): 56-62. [22] 梁美, 郑琼林, 可翀, 等. SiC MOSFET, Si CoolMOS和IGBT的特性对比及其在DAB变换器中的应用[J]. 电工技术学报, 2015, 30(12): 41-50. Liang Mei, Trillion Q Zheng, Ke Chong, et al. Performance comparison of SiC MOSFET, Si coolMOS and IGBT for DAB converter[J]. Transactions of China Electrotechnical Society, 2015, 30(12): 41-50. [23] 王学梅. 宽禁带碳化硅功率器件在电动汽车中的研究与应用[J]. 中国电机工程学报, 2014, 34(3): 371-379. Wang Xuemei. Researches and applications of wide bandgap SiC power devices in electric vehicles[J]. Proceedings of the CSEE, 2014, 34(3): 371-379.