一种快速SVPWM算法及其过调制策略研究
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摘要
针对传统SVPWM算法结构复杂、运算量大等问题,提出一种基于三扇区矢量空间的快速SVPWM算法。该算法无需进行坐标变换,有效避免了传统算法中多次三角运算和开方运算,减少了逻辑判断次数。通过简单四则运算便能快速实现精准调制,从而极大地简化了SVPWM的算法结构,减少了算法的执行时间。此外,分析并提出基于分段非线性拟合的SVPWM算法过调制策略。该策略避免了传统算法过调制策略中复杂的保持角和控制角的计算,并减少了查表法带来的内存消耗和调制误差,进一步提升了直流母线电压利用率。仿真和实验验证了该SVPWM算法及其过调制策略的有效性和优越性。
To solve the problems of complex structure and large computation of the traditional algorithm, a fast SVPWM algorithm based on three-section vector space is put forward. Without coordinate transformation, it uses the arithmetic in stead of complicated trigonometric operation, so it can reduce the number of logic judgment and get more accurate modulation. As a result, the algorithm structure of SVPWM is greatly simplified and the operation time is reduced. Besides, to improve the utilization ratio of DC bus voltage further, an over-modulation method based on piecewise nonlinear fitting is analyzed and raised, which can avoid the complex calculation of the holding angle and the control angle as well as the error of the modulation caused by look-up table method is also reduced. The results of simulation and experiment indicate that the fast SVPWM algorithm and its over-modulation method are effective and superior.
To solve the problems of complex structure and large computation of the traditional algorithm, a fast SVPWM algorithm based on three-section vector space is put forward. Without coordinate transformation, it uses the arithmetic in stead of complicated trigonometric operation, so it can reduce the number of logic judgment and get more accurate modulation. As a result, the algorithm structure of SVPWM is greatly simplified and the operation time is reduced. Besides, to improve the utilization ratio of DC bus voltage further, an over-modulation method based on piecewise nonlinear fitting is analyzed and raised, which can avoid the complex calculation of the holding angle and the control angle as well as the error of the modulation caused by look-up table method is also reduced. The results of simulation and experiment indicate that the fast SVPWM algorithm and its over-modulation method are effective and superior.
引文
[1]袁洁,王耀南.单相三电平整流器双滞环SVPWM电流控制方法[J].电力系统保护与控制,2014,42(7):32-36.YUAN Jie,WANG Yaonan.Double hysteresis SVPWMcurrent control method for single-phase three-level rectifiers[J].Power System Protection and Control,2014,42(7):32-36.
[2]马璐,刘莉,雷蕾,等.并联三相逆变器环流的双变零矢量控制研究[J].电力系统保护与控制,2017,45(21):74-81.MA Lu,LIU Li,LEI Lei,et al.Research on circulation current control of double changed zero vector for parallel three-phase inverters[J].Power System Protection and Control,2017,45(21):74-81.
[3]叶吉亮,李岚,刘海霞,等.电网电压不平衡及谐波状态下的并网逆变器控制策略[J].电力系统保护与控制,2018,46(6):113-119.YE Jiliang,LI Lan,LIU Haixia,et al.Control strategy of grid-connected inverter under unbalanced and harmonic voltage condition[J].Power System Protection and Control,2018,46(6):113-119.
[4]郭利辉,张元敏,李永辉,等.三相电压型PWM变流器交流侧LCL滤波器的有源阻尼策略研究[J].电力系统保护与控制,2017,45(4):132-138.LIU Lihui,ZHANG Yuanmi,LI Yonghui,et al.Research on active damping strategy of LCL filter in three-phase voltage source PWM rectifier[J].Power System Protection and Control,2017,45(4):132-138.
[5]GUO Wenming,MU Longhua.Control principles of micro-source inverters used in microgrid[J].Protection and Control of Modern Power Systems,2016,1(1):56-62.DOI:10.1186/s41601-016-0019-8.
[6]周卫平,吴正国,唐劲松,等.SVPWM的等效算法及SVPWM与SPWM的本质联系[J].中国电机工程学报,2006,26(2):133-137.ZHOU Weiping,WU Zhengguo,TANG Jinsong,et al.Anovel algorithm of SVPWM and the study on the essential relationship between SVPWM and SPWM[J].Proceedings of the CSEE,2006,26(2):133-137.
[7]李涛,张晓锋,乔鸣忠.SPWM与SVPWM的宏观对等性研究[J].中国电机工程学报,2010,30(增刊1):178-184.LI Tao,ZHANG Xiaofeng,QIAO Mingzhong.Research on the macro-equivalence between SPWM and SVPWM[J].Proceedings of the CSEE,2010,30(S1):178-184.
[8]赵辉,李瑞,王红君,等.60°坐标系下三电平逆变器SVPWM方法的研究[J].中国电机工程学报,2008,28(24):39-45.ZHAO Hui,LI Rui,WANG Hongjun,et al.Study on SVPWM method based on 60°coordinate system for three-level inverter[J].Proceedings of the CSEE,2008,28(24):39-45.
[9]王畅,王聪,刘建东,等.60°坐标系矿用变频器SVPWM算法研究[J].煤炭科学技术,2012,40(2):94-97.WANG Chang,WANG Cong,LIU Jiandong,et al.Research on SVPWM algorithm of mine frequency converter based on 60°coordinate system[J].Coal Science and Technology,2012,40(2):94-97.
[10]方斯琛,李丹,周波,等.新型无扇区空间矢量脉宽调制算法[J].中国电机工程学报,2008,28(30):35-40.FANG Sichen,LI Dan,ZHOU Bo,et al.A novel algorithm of space-vector PWM without sector calculation[J].Proceedings of the CSEE,2008,28(30):35-40.
[11]齐昕,王冲,周晓敏,等.一种低硬件资源消耗快速SVPWM算法[J].电机与控制学报,2014,18(4):31-38.QI Xin,WANG Chong,ZHOU Xiaomin,et al.Low hardware resource consumption fast SVPWMalgorithm[J].Electric Machines and Control,2014,18(4):31-38.
[12]孙鹤旭,荆锴,董砚,等.基于120°坐标系的SVPWM算法研究[J].电工技术学报,2016,31(5):52-57.SUN Hexu,JING Kai,DONG Yan,et al.Research of SVPWM algorithm based on 120°coordinates system[J].Transactions of China Electrotechnical Society,2016,31(5):52-57.
[13]杨贵杰,孙力,崔乃政,等.空间矢量脉宽调制方法的研究[J].中国电机工程学报,2001,21(5):79-83.YANG Guijie,SUN Li,CUI Naizheng,et al.Study on method of the space vector PWM[J].Proceedings of the CSEE,2001,21(5):79-83.
[14]陆原,胡丙辉,张军伟,等.基于SVPWM调制的三段式算法研究[J].电力系统保护与控制,2016,44(6):68-75.LU Yuan,HU Binghui,ZHANG Junwei,et al.Athree-segment algorithm research based on SVPWMmodulation[J].Power System Protection and Control,2016,44(6):68-75.
[15]赵辉,胡仁杰.SVPWM的基本原理与应用仿真[J].电工技术学报,2015,30(14):350-353.ZHAO Hui,HU Renjie.Space-vector pulse width modulation and its simulation based on Simulink[J].Transactions of China Electrotechnical Society,2015,30(14):350-353.
[16]薛毓强,刘斌.基于空间矢量PWM技术的零矢量分配问题分析[J].电机与控制学报,2010,14(8):93-97.XUE Yuqiang,LIU Bin.Analysis of zero state vector distribution based on space vector PWM[J].Electric Machines and Control,2010,14(8):93-97.
[17]HOLTZ J,LOTZKAT W,KHAMBADKONE A.On continuous control of PWM inverters in the overmodulation range including the six-step mode[J].IEEE Transactions on Power Electronics,1993,8(4):546-553.
[18]王旭东,张思艳,欲腾伟.SVPWM过调制中控制角算法的分析与应用[J].电机与控制学报,2010,14(12):63-67.WANG Xudong,ZHANG Siyan,YU Tengwei.Control angle algorithm of SVPWM over modulation analysis and application[J].Electric Machines and Control,2010,14(12):63-67.
[19]LEE D C,LEE G M.A novel overmodulation technique for space-vector PWM inverters[J].IEEE Transactions on Power Electronics,1998,13(6):1144-1151.
[20]吴德会,夏晓昊,张忠远,等.基于三相桥臂坐标的SVPWM过调制方法[J].电工技术学报,2015,30(1):150-158.WU Dehui,XIA Xiaohao,ZHANG Zhongyuan,et al.ASVPWM overmodulation method based on three-phase bridge arm coordinates[J].Transactions of China Electrotechnical Society,2015,30(1):150-158.
[21]张立伟,刘钧,温旭辉,等.基于基波电压幅值线性输出控制的SVPWM过调制新算法[J].中国电机工程学报,2005,25(19):12-18.ZHANG Liwei,LIU Yun,WEN Xuhui,et al.A novel algorithm of SVPWM inverter in the over-modulation region based on fundamental voltage amplitude linear output control[J].Proceedings of the CSEE,2005,25(19):12-18.
[2]马璐,刘莉,雷蕾,等.并联三相逆变器环流的双变零矢量控制研究[J].电力系统保护与控制,2017,45(21):74-81.MA Lu,LIU Li,LEI Lei,et al.Research on circulation current control of double changed zero vector for parallel three-phase inverters[J].Power System Protection and Control,2017,45(21):74-81.
[3]叶吉亮,李岚,刘海霞,等.电网电压不平衡及谐波状态下的并网逆变器控制策略[J].电力系统保护与控制,2018,46(6):113-119.YE Jiliang,LI Lan,LIU Haixia,et al.Control strategy of grid-connected inverter under unbalanced and harmonic voltage condition[J].Power System Protection and Control,2018,46(6):113-119.
[4]郭利辉,张元敏,李永辉,等.三相电压型PWM变流器交流侧LCL滤波器的有源阻尼策略研究[J].电力系统保护与控制,2017,45(4):132-138.LIU Lihui,ZHANG Yuanmi,LI Yonghui,et al.Research on active damping strategy of LCL filter in three-phase voltage source PWM rectifier[J].Power System Protection and Control,2017,45(4):132-138.
[5]GUO Wenming,MU Longhua.Control principles of micro-source inverters used in microgrid[J].Protection and Control of Modern Power Systems,2016,1(1):56-62.DOI:10.1186/s41601-016-0019-8.
[6]周卫平,吴正国,唐劲松,等.SVPWM的等效算法及SVPWM与SPWM的本质联系[J].中国电机工程学报,2006,26(2):133-137.ZHOU Weiping,WU Zhengguo,TANG Jinsong,et al.Anovel algorithm of SVPWM and the study on the essential relationship between SVPWM and SPWM[J].Proceedings of the CSEE,2006,26(2):133-137.
[7]李涛,张晓锋,乔鸣忠.SPWM与SVPWM的宏观对等性研究[J].中国电机工程学报,2010,30(增刊1):178-184.LI Tao,ZHANG Xiaofeng,QIAO Mingzhong.Research on the macro-equivalence between SPWM and SVPWM[J].Proceedings of the CSEE,2010,30(S1):178-184.
[8]赵辉,李瑞,王红君,等.60°坐标系下三电平逆变器SVPWM方法的研究[J].中国电机工程学报,2008,28(24):39-45.ZHAO Hui,LI Rui,WANG Hongjun,et al.Study on SVPWM method based on 60°coordinate system for three-level inverter[J].Proceedings of the CSEE,2008,28(24):39-45.
[9]王畅,王聪,刘建东,等.60°坐标系矿用变频器SVPWM算法研究[J].煤炭科学技术,2012,40(2):94-97.WANG Chang,WANG Cong,LIU Jiandong,et al.Research on SVPWM algorithm of mine frequency converter based on 60°coordinate system[J].Coal Science and Technology,2012,40(2):94-97.
[10]方斯琛,李丹,周波,等.新型无扇区空间矢量脉宽调制算法[J].中国电机工程学报,2008,28(30):35-40.FANG Sichen,LI Dan,ZHOU Bo,et al.A novel algorithm of space-vector PWM without sector calculation[J].Proceedings of the CSEE,2008,28(30):35-40.
[11]齐昕,王冲,周晓敏,等.一种低硬件资源消耗快速SVPWM算法[J].电机与控制学报,2014,18(4):31-38.QI Xin,WANG Chong,ZHOU Xiaomin,et al.Low hardware resource consumption fast SVPWMalgorithm[J].Electric Machines and Control,2014,18(4):31-38.
[12]孙鹤旭,荆锴,董砚,等.基于120°坐标系的SVPWM算法研究[J].电工技术学报,2016,31(5):52-57.SUN Hexu,JING Kai,DONG Yan,et al.Research of SVPWM algorithm based on 120°coordinates system[J].Transactions of China Electrotechnical Society,2016,31(5):52-57.
[13]杨贵杰,孙力,崔乃政,等.空间矢量脉宽调制方法的研究[J].中国电机工程学报,2001,21(5):79-83.YANG Guijie,SUN Li,CUI Naizheng,et al.Study on method of the space vector PWM[J].Proceedings of the CSEE,2001,21(5):79-83.
[14]陆原,胡丙辉,张军伟,等.基于SVPWM调制的三段式算法研究[J].电力系统保护与控制,2016,44(6):68-75.LU Yuan,HU Binghui,ZHANG Junwei,et al.Athree-segment algorithm research based on SVPWMmodulation[J].Power System Protection and Control,2016,44(6):68-75.
[15]赵辉,胡仁杰.SVPWM的基本原理与应用仿真[J].电工技术学报,2015,30(14):350-353.ZHAO Hui,HU Renjie.Space-vector pulse width modulation and its simulation based on Simulink[J].Transactions of China Electrotechnical Society,2015,30(14):350-353.
[16]薛毓强,刘斌.基于空间矢量PWM技术的零矢量分配问题分析[J].电机与控制学报,2010,14(8):93-97.XUE Yuqiang,LIU Bin.Analysis of zero state vector distribution based on space vector PWM[J].Electric Machines and Control,2010,14(8):93-97.
[17]HOLTZ J,LOTZKAT W,KHAMBADKONE A.On continuous control of PWM inverters in the overmodulation range including the six-step mode[J].IEEE Transactions on Power Electronics,1993,8(4):546-553.
[18]王旭东,张思艳,欲腾伟.SVPWM过调制中控制角算法的分析与应用[J].电机与控制学报,2010,14(12):63-67.WANG Xudong,ZHANG Siyan,YU Tengwei.Control angle algorithm of SVPWM over modulation analysis and application[J].Electric Machines and Control,2010,14(12):63-67.
[19]LEE D C,LEE G M.A novel overmodulation technique for space-vector PWM inverters[J].IEEE Transactions on Power Electronics,1998,13(6):1144-1151.
[20]吴德会,夏晓昊,张忠远,等.基于三相桥臂坐标的SVPWM过调制方法[J].电工技术学报,2015,30(1):150-158.WU Dehui,XIA Xiaohao,ZHANG Zhongyuan,et al.ASVPWM overmodulation method based on three-phase bridge arm coordinates[J].Transactions of China Electrotechnical Society,2015,30(1):150-158.
[21]张立伟,刘钧,温旭辉,等.基于基波电压幅值线性输出控制的SVPWM过调制新算法[J].中国电机工程学报,2005,25(19):12-18.ZHANG Liwei,LIU Yun,WEN Xuhui,et al.A novel algorithm of SVPWM inverter in the over-modulation region based on fundamental voltage amplitude linear output control[J].Proceedings of the CSEE,2005,25(19):12-18.