Abstract:To study the mechanism and the influencing factors of harmonics from high-speed trains (HSTs), the mechanism of the carrier based pulse-width modulation (CBPWM) is explained based on the simplified sinusoidal cutting model. And classical bilateral Fourier series and Bessel functions are combined to deduce the harmonic spectrum calculation formula of the H bridge AC voltage of a HST single-phase rectifier. Then the dead-time effect on the sinusoidal cutting model is deeply analyzed. The new unified sinusoidal cutting model considering dead-time effect is established based on it, and then the dead-time additional harmonics calculation formula is deduced. The quantitative analysis of the dead time effects on the harmonic content and its spectrum distribution are performed. In the end, digital simulation and hardware-in-loop (HIL) experimental results of a HST single phase rectifier are shown to verify the accuracy and the correctness of the sinusoidal cutting model.
[1] 徐志强, 李冰, 周田华, 等. 基于模态分析的运动负荷牵引电网谐波谐振分析[J]. 电力系统保护与控制, 2010, 38(19): 76-80. Xu Zhiqiang, Li Bing, Zhou Tianhua, et al. Harmonic resonance assessment of traction system with moving load based on modal analysis[J]. Power System Protection and Control, 2010, 38(19): 76-80. [2] 陈瑶, 童亦斌, 金新民. 基于PWM整流器的SVPWM谐波分析新算法[J]. 中国电机工程学报, 2007, 27(13): 76-80. Chen Yao, Tong Yibin, Jin Xinmin. A novel algorithm of SVPWM harmonic analysis based on PWM rectifier[J]. Proceedings of the CSEE, 2007, 27(13): 76-80. [3] 高吉磊, 张雅静, 林飞, 等. 单相PWM整流器谐波电流抑制算法研究[J]. 中国电机工程学报, 2010, 30(21): 32-39. Gao Jilei, Zhang Yajin, Lin Fei, et al. Research on harmonic current elimination method of single-phase PWM rectifiers[J]. Proceedings of the CSEE, 2010, 30(21): 32-39. [4] 袁佳歆, 饶斌斌, 刘俊博, 等. 调制比对逆变器输出波形质量的影响[J]. 电工技术学报, 2011, 26(S1): 142-147. Yuan Jiaxin, RaoBinbin, Liu Junbo, et al. Influence of modulation ratio to output waveforms of the inverter[J]. Transactions of China Electrotechnical Society, 2011, 26(S1): 142-147. [5] 李欣然, 郭希铮, 王德伟, 等. 基于LCL滤波的大功率三相电压型PWM整流器[J]. 电工技术学报, 2011, 26(8): 79-84. Li Xinran, GuoXizheng, Wang Dewei, et al. Research and development of high-power three-phase voltage source PWM rectifier with LCL filter[J]. Transactions of China Electrotechnical Society, 2011, 26(8): 79-84. [6] 张颖, 李崇坚, 朱春毅, 等. 三电平H桥级联型逆变器[J]. 电工技术学报, 2011, 26(5): 78-82. Zhang Ying, Li Chongjian, Zhu Chunyi, et al. Three-level H-bridge cascade type multi-level inverter[J]. Transactions of China Electrotechnical Society, 2011, 26(5): 78-82. [7] 杨波, 吴建德, 李武华, 等. 在线自适应PWM死区消除方法[J]. 电工技术学报, 2011, 26(11): 45-52. Yang Bo, Wu Jiande, Li Wuhua, et al. Online adaptive dead-time elimination method for PWM voltage source inverters[J]. Transactions of China Electrote- chnical Society, 2011, 26(11): 45-52. [8] Shen J, Taufiq J A, Mansell A D. Analytical solution to harmonic characteristics of traction PWM converters[J]. IEE Proceedings Electric Power Applications, 1997, 144(2): 158-168. [9] Wong K T. Harmonic analysis of PWM multi-level converters[J]. IEE Proceedings Electric Power Applications, 2001, 148(1): 35-43. [10] Tooth D J, Finney S J, Williams B W. Fourier theory of jumps applied to converter harmonic analysis[J]. IEEE Transactions on Aerospace and Electronic Systems, 2001, 37(1): 109-122. [11] 曹立威, 吴胜华, 张承胜, 等. SPWM谐波分析的一般方法[J]. 电力电子技术, 2002, 36(4): 62-65. CaoLiwei, WuShenghua, ZhangChengsheng, et al. A general method of SPWM harmonic analysis[J]. Power Electronics, 2002, 36(4): 62-65. [12] Tseng K H, Kao W S, Cheng Y F, et al. Analytical solution to harmonic characteristics of three-phase PWM inverter using 3-D modulation model[J]. Electric Power Components and Systems, 2004, 32(11): 1105-1120. [13] 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. [14] Guinee R A, Lyden C. A novel Fourier series time function for modeling and simulation of PWM[J]. IEEE Transactions on Circuits and Systems, 2005, 52(11): 2427-2435. [15] 郭蕾, 李群湛, 刘炜, 等. 额定功率下高速机车谐波特性的仿真分析[J]. 西南交通大学学报, 2009, 44(6): 835-840. Guo Lei, LiQunzhan, Liu Wei, et al. Simulation analysis of dynamic characteristic of harmonics for high-speed locomotive running at rated power[J]. Journal of Southwest Jiaotong University, 2009, 44(6): 835-840. [16] 刘玉洁, 盛彩飞, 林飞, 等. 高速动车组网侧电流谐波特性的研究[J]. 电气传动, 2010, 40(1): 33-37. Liu Yujie, Sheng Caifei, Lin Fei, et al. Harmonic analysis of power grid-side for high speed train[J]. Electric Drive, 2010, 40(1): 33-3 [17] Wu C M, Lau W H, Chung H. Analytical technique for calculating the output harmonics of an H-bridge inverter with dead time[J]. IEEE Transactions on Circuits and Systems, 1999, 46(5): 617-627. [18] 陈良亮, 丁志刚, 曾忠, 等. 闭环SPWM逆变器死区时间对输出基波电压的影响[J]. 电机与控制学报, 2006, 10(5): 487-491. Chen Liangliang, Ding Zhigang, Zeng Zhong, et al. Influence of dead-time on the output fundamental voltage of close-loop controlled SPWM inverter[J]. Electric Machines and Control, 2006, 10(5): 487-491. [19] 伍家驹, 王文婷, 李学勇, 等. 单相SPWM逆变桥输出电压的谐波分析[J]. 电力自动化设备, 2008, 28(4): 45-49. Wu Jiaju, Wang Wenting, Li Xueyong, et al. Output voltage harmonics analysis of single-phase SPWM inverter bridge[J]. Electric Power Automation Equipment, 2008, 28(4): 45-49. [20] 冯晓云. 电力牵引交流传动及其控制系统[M]. 北京: 高等教育出版社, 2009. [21] 崔恒斌, 马志文, 韩坤, 等. 电动车组牵引传动系统的实时仿真研究[J]. 中国铁道科学, 2011, 32(6): 94-101. Cui Hengbin, Ma Zhiwen, Han Kun, et al. Research on the real-time simulation of the traction drive system in electric multiple unities[J]. China Railway Science, 2012, 36(6): 94-101. [22] 奚定平. 贝塞尔函数[M]. 北京: 高等教育出版社, 1998.