二重化两电平与三电平整流器等效关系的证明
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摘要
针对目前动车组整流器归一化过程中缺少理论证明的问题,提出二重化两电平与三电平整流器的等效证明方法,基于傅里叶级数和贝塞尔函数,推导了二重化两电平整流器的开关函数表达式,证明了二重化两电平和单相三电平整流器在开关函数、交流侧电压及其谐波分布、直流侧电压的等效性,并考虑了死区效应对等效性的影响。计算和仿真结果表明:在调制波信号反相的条件下,二重化两电平与单相三电平整流器的交流侧电压与谐波分布规律相同,直流侧电压在额定工况、轻载和重载时亦能与给定电压值保持一致,电压波动在3%之内,死区效应不影响2种整流器的等效关系。通过对2种整流器等效性的理论证明,为2种整流器的选择提供理论支撑。
In view of the lack of theoretical proof in the normalization process of EMU rectifiers,this paper proposed an equivalent proof method of the two interlaced two-level and three level rectifiers.The mathematic expression of the switching function of two interlaced two-level rectifier was derived by Fourier series and Bessel function.Based on that,the equivalence between two interlaced two-level and three-level rectifiers was proved,from the aspects of the switching function,the voltage at grid side and harmonic distribution and the DC side voltage,respectively.Meanwhile the influence of dead time on the equivalence was also considered.The calculation and simulation results show that under the condition of the phase inversion of the modulated wave signals,the grid side voltages and their harmonic distributions are identical for the interlaced two-level rectifiers and the single phase three level rectifier,respectively.The DC side voltage can also be consistent with a given voltage value under the rated load,light load and heavy loads.The voltage fluctuation is within 3% for the two kinds of rectifiers.The dead time does not affect the equivalent relationship between the two kinds of rectifiers.In this paper,we prove the equivalence of two kinds of rectifiers,and provide theoretical support for the selection of two kinds of rectifiers.
In view of the lack of theoretical proof in the normalization process of EMU rectifiers,this paper proposed an equivalent proof method of the two interlaced two-level and three level rectifiers.The mathematic expression of the switching function of two interlaced two-level rectifier was derived by Fourier series and Bessel function.Based on that,the equivalence between two interlaced two-level and three-level rectifiers was proved,from the aspects of the switching function,the voltage at grid side and harmonic distribution and the DC side voltage,respectively.Meanwhile the influence of dead time on the equivalence was also considered.The calculation and simulation results show that under the condition of the phase inversion of the modulated wave signals,the grid side voltages and their harmonic distributions are identical for the interlaced two-level rectifiers and the single phase three level rectifier,respectively.The DC side voltage can also be consistent with a given voltage value under the rated load,light load and heavy loads.The voltage fluctuation is within 3% for the two kinds of rectifiers.The dead time does not affect the equivalent relationship between the two kinds of rectifiers.In this paper,we prove the equivalence of two kinds of rectifiers,and provide theoretical support for the selection of two kinds of rectifiers.
引文
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[12]宋文胜,崔凯,陈春阳,等.单相三电平脉冲整流器网侧谐波特性研究[J].电机与控制学报,2013,17(12):39-45.SONG Wensheng,CUI Kai,CHEN Chunynag,et al.Harmonic Characteristic Analysis of Single-Phase Three Level PWM Rectifiers[J].Electric Machines and Control,2013,17(12):39-45.
[13]CHANG G W,LIN H W,CHEN S K.Modeling Characteristics of Harmonic Current Generated by High-Speed Railway Traction Drive Converters[J].IEEE Transactions on Power Delivery,2004,19(2):766-773.
[14]刘玉洁,林飞,游小杰,等.CRH2型动车组谐波电流分析及仿真[J].电力电子技术,2009(4):38-41.LIU Yujie,LIN Fei,YOU Xiaojie,et al.Harmonic Currents Analysis of CRH2Electric Multiple Units[J].Power Electrinics,2009(4):38-41.
[15]张喜全.电力牵引传动及控制[M].北京:中国铁道出版社,2012:117-134.
[16]冯晓云.交流传动及其控制系统[M].北京:高等教育出版社,2009:85.
[17]WATSON G N.Theory of Bessel function[J].Cambridge:Cambridge University Press,1944.
[18]HOLMES D G,LIPO T A.Pulse Width Modulation for Power Converters:Principles and Practice[M].Hoboken:Wiley-IEEE Press,2003:123-125.
[19]张兴.PWM整流器及其控制[M].北京:机械工业出版社,2012:165-167.
[2]余丹萍.电气化铁路牵引供电系统的仿真及影响研究[D].杭州:浙江大学,2011.
[3]谢舸.高速列车牵引传动系统仿真分析[D].杭州:浙江大学,2011.
[4]杨显进.CRH5牵引变流器的研究[D].成都:西南交通大学,2009.
[5]邓学寿.CRH2型200km/h动车组牵引传动系统[J].机车电传,2008(4):1-7.DENG Xueshou.Traction Drive Sysetem of 200 km/h CRH2EMUs[J].Electric Drive For Locomotives,2008(4):1-7.
[6]宋广东.CRH2动车组负荷建模仿真及实测验证研究[D].成都:西南交通大学,2014.
[7]何国军,王旭峰.CRH2动车组三电平PWM整流器仿真及谐波分析[J].电力学报,2010(6):455-457.HE Guojun,WANG Xufeng.Three-level PWM Rectifier Simulation and Harmonic Analysis of CRH2Electric Multiple Units[J].Journal of Electric Power,2010(6):455-457.
[8]何正友,胡海涛,方雷,等.高速铁路牵引供电系统谐波及其传输特性研究[J].中国电机工程学报,2011,31(16):55-62.HE Zhengyou,HU Haitao,FANG Lei,et al.Research on the Harmonic in High-speed Railway Traction Power Supply System and Its Transmission Characteristic[J].Proceedings of the CSEE,2011,31(16):55-62.
[9]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(4):45-49,52.WU Jiaju,WANG Wenting,LI Xueyong,et al.Output Voltage Harmonics Analysis of Single-phase SPWM Inverter Bridge[J].Electric Power Automation Equipment,2008(4):45-49,52.
[10]宋文胜,冯晓云.电力牵引交流传动控制与调制技术[M].北京:科学出版社,2014:69-74.
[11]葛兴来,冯晓云,刘柏思.PWM整流器谐波特性分析[J].电力电子技术,2009(4):67-69.GE Xinglai,FENG Xiaoyun,LIU Baisi.Analytical Solution to Harmonic Characteristics of PWM Converter[J].Power Electronics,2009(4):67-69.
[12]宋文胜,崔凯,陈春阳,等.单相三电平脉冲整流器网侧谐波特性研究[J].电机与控制学报,2013,17(12):39-45.SONG Wensheng,CUI Kai,CHEN Chunynag,et al.Harmonic Characteristic Analysis of Single-Phase Three Level PWM Rectifiers[J].Electric Machines and Control,2013,17(12):39-45.
[13]CHANG G W,LIN H W,CHEN S K.Modeling Characteristics of Harmonic Current Generated by High-Speed Railway Traction Drive Converters[J].IEEE Transactions on Power Delivery,2004,19(2):766-773.
[14]刘玉洁,林飞,游小杰,等.CRH2型动车组谐波电流分析及仿真[J].电力电子技术,2009(4):38-41.LIU Yujie,LIN Fei,YOU Xiaojie,et al.Harmonic Currents Analysis of CRH2Electric Multiple Units[J].Power Electrinics,2009(4):38-41.
[15]张喜全.电力牵引传动及控制[M].北京:中国铁道出版社,2012:117-134.
[16]冯晓云.交流传动及其控制系统[M].北京:高等教育出版社,2009:85.
[17]WATSON G N.Theory of Bessel function[J].Cambridge:Cambridge University Press,1944.
[18]HOLMES D G,LIPO T A.Pulse Width Modulation for Power Converters:Principles and Practice[M].Hoboken:Wiley-IEEE Press,2003:123-125.
[19]张兴.PWM整流器及其控制[M].北京:机械工业出版社,2012:165-167.