基于加权路径内点法的六相电机SVPWM四矢量调制方法
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摘要
为抑制双移30°六相电机的谐波电压,减小电机系统的谐波损耗和运行噪声,提出一种基于加权路径内点法的SVPWM四矢量调制方法。当调制度处于0.577～0.622时,该方法在基波平面的每个扇区选择四个相邻的最大电压矢量,以四个矢量的作用时间为优化量,四个矢量在谐波平面上合成的电压矢量最小为目标函数,四个矢量在基波平面上跟踪期望电压矢量为约束条件,采用加权路径内点法得到最优解。在调制度为0.6时,仿真结果表明,与现有方法相比,所提方法使相电压的THD由5%降低到3.36%。实验结果表明,本文方法使相电压的THD由21.53%降低到14.14%。内点法有效地抑制了逆变器的谐波电压,并减小电机的谐波电流,降低系统的运行噪声。该方法可扩展至多相电机系统,用于抑制谐波电压,提高系统运行性能。
In this paper,a four-vector modulation method based on Interior Point algorithm of weighted path is proposed for six-phase motor SVPWM,which can suppress the harmonic voltage of the dual shift 30° 6-phase motor and reduce the harmonic loss and operating noise.When the modulation degree is between 0.577 and 0.622,four adjacent maximum voltage vectors are selected for each sector of the fundamental plane.The turn-on time of the four vectors is taken as the optimal amount,the four vectors tracking the expected voltage vector in the fundamental plane is taken as a constraint,and the minimum voltage vector synthesized by the four vectors on the harmonic plane is the objective function.The optimal solution of the four adjacent vectors' turn-on time is obtained by using the Interior Point algorithm of weighted path.The simulation results show that compared with the existing methods,the proposed method reduces the THD of phase voltage from 5% to 3.36% at the modulation of 0.6.The experimental results show that the THD of phase voltage decreases from 21.53% to 14.14%.The proposed method can effectively suppress the harmonic voltage of the inverter,and reduce the harmonic current and operating noise.Moreover,this method can extend to the multi-phase motor system to suppress the harmonic voltage and improve system performance.
In this paper,a four-vector modulation method based on Interior Point algorithm of weighted path is proposed for six-phase motor SVPWM,which can suppress the harmonic voltage of the dual shift 30° 6-phase motor and reduce the harmonic loss and operating noise.When the modulation degree is between 0.577 and 0.622,four adjacent maximum voltage vectors are selected for each sector of the fundamental plane.The turn-on time of the four vectors is taken as the optimal amount,the four vectors tracking the expected voltage vector in the fundamental plane is taken as a constraint,and the minimum voltage vector synthesized by the four vectors on the harmonic plane is the objective function.The optimal solution of the four adjacent vectors' turn-on time is obtained by using the Interior Point algorithm of weighted path.The simulation results show that compared with the existing methods,the proposed method reduces the THD of phase voltage from 5% to 3.36% at the modulation of 0.6.The experimental results show that the THD of phase voltage decreases from 21.53% to 14.14%.The proposed method can effectively suppress the harmonic voltage of the inverter,and reduce the harmonic current and operating noise.Moreover,this method can extend to the multi-phase motor system to suppress the harmonic voltage and improve system performance.
引文
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[11]Marouani K,Baghli L,Hadiouche D,et al.Discontinuous SVPWM techniques for double star induction motor drive control[C]//32nd Annual Conference on Industrial Electronics,Paris,France,2006:902-907.
[12]Bojoi R,Lazzari M,Profumo F,et al.Digital fieldoriented control for dual three-phase induction motor drives[J].IEEE Transactions on Industry Applications,2003(3):752-760.
[13]杨金波,杨贵杰,李铁才.六相电压源逆变器PWM算法[J].电工技术学报,2012,27(7):205-211.Yang Jinbo,Yang Guijie,Li Tiecai.PWM techniques for six-phase voltage-source inverters[J].Transactions of China Electrotechnical Society,2012,27(7):205-211.
[14]Karmarkar N.A new polynomial time algorithm is for linear programming[J].Combinatorica,1984,4(4):373-395.
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[17]金正静,白延琴,韩伯顺.求解凸二次规划问题的一种加权路径跟踪内点算法[J].运筹学学报,2010,14(1):55-65.Jin Zhengjing,Bai Yanqin,Han Boshun.A weightedpath-following interior-point algorithm for convex quadratic optimization[J].Operations Research Transactions,2010,14(1):55-65.
[2]Levi E,Bojoi R,Profumo F,et al.Multiphase induction motor drives-a technology status review[J].IET Electric Power Applications,2007,1(4):489-516.
[3]周长攀,苏建勇,杨贵杰.双三相永磁同步电机全调制比范围空间矢量脉宽调制[J].电工技术学报,2015,30(10):90-100.Zhou Changpan,Su Jianyong,Yang Guijie.The SVPWM strategy in full modulation region for dual three-phase PMSM[J].Transactions of China Electrotechnical Society,2015,30(10):90-100.
[4]孙国栋,苏建勇,杨贵杰.五相VSI最近四矢量最小谐波电压调制方法[J].中国电机工程学报,2017,37(19):5730-5740.Sun Guodong,Su Jianyong,Yang Guijie.Minimum harmonic voltage modulation method of near fourvector for five-phase voltage source inverter[J].Proceedings of the CSEE,2017,37(19):5730-5740.
[5]薛山,温旭辉.一种新颖的多相SVPWM[J].电工技术学报,2006,21(2):68-72.Xue Shan,Wen Xuhui.Novel multiphase SVPWM[J].Transactions of China Electrotechnical Society,2006,21(2):68-72.
[6]Yuan Feixiong,Huang Shenghua,Long Wenfeng.Techniques to retrain harmonics of six-phase permanent magnet synchronous motors[J].Transactions of China Electrotechnical Society,2011,26(9):31-36.
[7]Grandi G,Serra G,TaniSpace A.Vector modulation of a six-phase VSI based on three-phase decomposition[C]//International Symposium on Power Electronics,Electrical Drives,Automation and Motion,Ischia,Italy,2008:674-679.
[8]Yazdani D,Bakhshai A,Joos G.A space vector classification technique is for MEMS electrostatic six-phase induction micro-motors[C]//IEEE 32nd Annual Conference on Industrial Electronics,Paris,France,2006:2303-2306.
[9]Zhao Yifan,Lipo T A.Space vector PWM control of dual three-phase induction machine using vector space decomposition[J].IEEE Transactions on Industry Applications,1995,31(5):1100-1109.
[10]Hadiouche D,Baghli L,Rezzoug A.Space-vector PWM techniques for dual three-phase AC machine:analysis,performance evaluation and DSP implementation[J].IEEE Transactions on Industry Applications,2006,42(4):1112-1122.
[11]Marouani K,Baghli L,Hadiouche D,et al.Discontinuous SVPWM techniques for double star induction motor drive control[C]//32nd Annual Conference on Industrial Electronics,Paris,France,2006:902-907.
[12]Bojoi R,Lazzari M,Profumo F,et al.Digital fieldoriented control for dual three-phase induction motor drives[J].IEEE Transactions on Industry Applications,2003(3):752-760.
[13]杨金波,杨贵杰,李铁才.六相电压源逆变器PWM算法[J].电工技术学报,2012,27(7):205-211.Yang Jinbo,Yang Guijie,Li Tiecai.PWM techniques for six-phase voltage-source inverters[J].Transactions of China Electrotechnical Society,2012,27(7):205-211.
[14]Karmarkar N.A new polynomial time algorithm is for linear programming[J].Combinatorica,1984,4(4):373-395.
[15]Gill P E,Murray W,Saunders M A,et al.On projected barrier methods for linear programming and an equivalence to Karmarkar's projective method[J].Mathematical Programming,1986,36(2):183-209.
[16]Darvay Z.A weighted-path-following method is for the linear optimization[J].Studia University BabesBolyai,Series Information,2002,XLVII(2):3-12.
[17]金正静,白延琴,韩伯顺.求解凸二次规划问题的一种加权路径跟踪内点算法[J].运筹学学报,2010,14(1):55-65.Jin Zhengjing,Bai Yanqin,Han Boshun.A weightedpath-following interior-point algorithm for convex quadratic optimization[J].Operations Research Transactions,2010,14(1):55-65.