Active Resonance Suppression Strategy for Grid-Train Coupling Resonance Based on SHE-PWM
Zhang Runze1, Lin Fei1, Yang Zhongping1, Cao Hu2, Liu Yuping2
1. School of Electrical Engineering Beijing Jiaotong University Beijing 100089 China; 2. CRRC Qingdao Sifang Rolling Stock Reseaarch Institute Co. Ltd Qingdao 266000 China
Abstract：Pulse width modulation (PWM) technology is widely used in High-Speed Railway. The harmonic distribution caused by PWM is extensive, it increases the possibility of the grid-train coupling resonance in the traction power supply system (TPSS) and it may affect the normal operation of the TPSS. In this paper, the mechanism of grid-train coupling resonance was studied and a feasible strategy of resonance suppression was proposed. This paper analysed the mechanism of resonance firstly and adopted specific harmonic elimination-pulse width modulation (SHE-PWM) technology to eliminate the harmonic in the resonant frequency, it could suppress the grid-train coupling resonance. Since the solution process of SHE-PWM with multiple switching angles contains complex transcendental equations, and it was difficult to solve by using ordinary iterative algorithm. In this paper, it used the active-set secondary optimization method to solve the equation. The algorithm has the benefit of low dependence on initial values and high solution accuracy. Finally, the feasibility of the resonant suppression algorithm was verified by RT-lab hardware-in-loop (HIL) experiment.
张润泽, 林飞, 杨中平, 曹虎, 刘玉萍. 基于SHE-PWM的车网耦合谐振主动抑制策略研究[J]. 电工技术学报, 2018, 33(zk1): 129-138.
Zhang Runze, Lin Fei, Yang Zhongping, Cao Hu, Liu Yuping. Active Resonance Suppression Strategy for Grid-Train Coupling Resonance Based on SHE-PWM. Transactions of China Electrotechnical Society, 2018, 33(zk1): 129-138.
[1] He Zhengyou, Hu Haitao, Zhang Yangfan, et al.Harmonic resonance assessment to traction power-supply system considering train model in China high-speed railway[J]. IEEE Transactions on Power Delivery, 2014, 29(4): 1735-1743. [2] Chang G W, Lin H W, Chen S K.Modeling characteristics of harmonic currents generated by high-speed railway traction drive converters[J]. IEEE Transactions on Power Delivery, 2004, 19(2): 766-773. [3] Cui Hengbin, Song Wensheng, Fang Hui, et al.Resonant harmonic elimination pulse width modulation-based high-frequency resonance suppression of high-speed railways[J]. IET Power Electronics, 2015, 8(5): 735-742. [4] 王晖, 吴命利. 电气化铁路低频振荡研究综述[J].电工技术学报, 2015, 30(17): 70-78. Wang Hui, Wu Mingli.Review of low-frequency oscillation in electric railways[J]. Transactions of China Electrotechnical Society, 2015, 30(17): 70-78. [5] 刘明光, 吴命利, 杨少兵, 等.牵引网高次谐波谐振及暂态过电压抑制装置: 中国, CN 101145692 A[P]. 2008. [6] Hu Haitao, He Zhengyou, Gao Shibin.Passive filter design for China high-speed railway with considering harmonic resonance and characteristic harmonics[J]. IEEE Transactions on Power Delivery, 2015, 30(1): 505-514. [7] 胡斯佳, 张志文, 李勇, 等. 一种采用LC耦合的电气化铁道功率调节系统[J]. 电工技术学报, 2016, 31(8): 199-211. Hu Sijia, Zhang Zhiwen, Li Yong, et al.An LC-coupled electric railway static power conditioning system[J], Transactions of China Electrotechnical Society, 2016, 31(8): 199-211 [8] Krah J O, Holtz J.Total compensation of line-side switching harmonics in converter-fed AC locomotives[J]. IEEE Transactions on Industry Applications, 1995, 31(6): 1264-1273. [9] Maeda T, Watanabe T, Mechi A, et al.A hybrid single-phase power active filter for high order harmonics compensation in converter-fed high speed trains[C]// Power Conversion Conference 1997, Proceedings of the IEEE, Nagaoka, 2002, 2: 711-717. [10] Holtz J, Krah J O.Suppression of time-varying resonances in the power supply line of AC locomotives by inverter control[J]. IEEE Transactions on Industrial Electronics, 1992, 39(3): 223-229. [11] Song Kejian, Konstantinou G, Wu Mingli, et al.Windowed SHE-PWM of interleaved four-quadrant converters for resonance suppression in traction power supply systems[J]. IEEE Transactions on Power Electronics, 2017, 10(8): 884-893. [12] Patel H S, Hoft R G.Generalized techniques of harmonic elimination and voltage control in thyristor inverters: part I—harmonic elimination[J]. IEEE Transactions on Industry Applications, 1973, 9(3): 310-317. [13] Routray A, Patel V, Mahanty R, et al.A novel GA optimized SHE PWM hybrid cascaded H-bridge multilevel inverter with capacitor voltage averaging for motor drive applications[C]//IEEE International Conference on Power Electronics, Drives and Energy Systems, 2017: 1-5. [14] Aguilera R P, Lezana P, Konstantinou G, et al.Closed-loop SHE-PWM technique for power converters through model predictive control[C]//Conference of the IEEE Industrial Electronics Society, 2016: 005261-005266. [15] Pulikanti S R, Konstantinou G, Agelidis V G.Hybrid seven-level cascaded active neutral-point-clamped-based multilevel converter under SHE-PWM[J]. IEEE Transactions on Industrial Electronics, 2013, 60(11): 4794-4804. [16] Dahidah M S A, Konstantinou G, Agelidis V G. A review of multilevel selective harmonic elimination PWM: formulations, solving algorithms, implementation and applications[J]. IEEE Transactions on Power Electronics, 2015, 30(8): 4091-4106. [17] 刘闯, 田孝铜, 曹亚华, 等. 基于随机牛顿法(SNM)的级联多电平逆变器特定谐波消除[J]. 电力系统保护与控制, 2017, 45(5): 96-102. Liu Chuang, Tian Xiaotong, Cao Yahua, et al.Selected harmonic elimination in cascaded multi-level voltage inverters based on the stochastic Newton method (SNM)[J]. Power System Protection and Control, 2017, 45(5): 96-102. [18] 董侃. 基于电流谐波优化的混合脉宽调制策略[J]. 电工技术学报, 2017, 32(20): 179-188. Dong Kan.Hybrid pulse width modulation strategy based on current harmonic minimum technique[J]. Transactions of China Electrotechnical Society, 2017, 32(20): 179-188. [19] 韩其国, 陈功洵, 肖宏飞. 基于有效集减空间逐次二次规划算法的电力系统暂态稳定约束最优潮流[J]. 电力系统保护与控制, 2016, 44(8): 126-131. Han Qiguo, Chen Gongxun, Xiao Hongfei.Power system transient stability constrained optimal power flow based on active-set reduced-space sequential quadratic programming[J]. Power System Protection and Control, 2016, 44(8): 126-131. [20] 刘诗慧, 林飞, 杨中平, 等. 抑制电气化铁路低频振荡的四象限变流器控制方法[J]. 电工技术学报, 2016, 31(增刊2): 76-83. Liu Shihui, Lin Fei, Yang Zhongping, et al.Control method of four quadrant converter to restrain low frequency oscillation of electrified railway[J]. Transactions of China Electrotechnical Society, 2016, 31(S2): 76-83. [21] 邹仁. 四象限变流器瞬态电流控制的仿真研究[J]. 机车电传动, 2003(6): 17-20. Zou Ren.Simulation study on transient current control of four quadrant converter[J]. Electric Drive for Locomotives, 2003(6): 17-20. [22] 朱凌, 刘涛, 鲁志平. 基于DSP的载波移相多电平PWM实现方法[J]. 华北电力大学学报, 2004, 31(5): 21-25. Zhu Ling, Liu Tao, Lu Zhiping.Realization of multilevel carrier phase-shifting PWM based on DSP[J]. Journal of North China Electric Power University, 2004, 31(5): 21-25. [23] 王娟, 刘明光. 基于阻抗分压原理的牵引网谐波谐振研究[J]. 电力系统保护与控制, 2017, 45(16): 79-84. Wang Juan, Liu Mingguang.Study on harmonic resonance of traction network based on the principle of impedance voltage divider[J]. Power System Protection and Control, 2017, 45(16): 79-84. [24] Konstantinou G, Agelidis V G, Pou J.Theoretical considerations for single-phase interleaved converters operated with SHE-PWM[J]. IEEE Transactions on Power Electronics, 2014, 29(10): 1. [25] Ni Q, Yuan Y.A subspace limited memory quasi-newton algorithm for large-scale nonlinear bound constrained optimization[J]. Mathematics of Computation of the American Mathematical Society, 1997, 66(220): 1509-1520. [26] Facchinei F, Júdice J, Soares J.An active set Newton algorithm for large-scale nonlinear programs with box constraints[J]. Siam Journal on Optimization, 1995, 8(1): 158-186. [27] Sun Li, He Guoping, Wang Yongli, et al.An active set quasi-Newton method with projected search for bound constrained minimization[J]. Computers & Mathematics with Applications, 2009, 58(1): 161-170.
2018, Vol. 33 
