六相永磁同步发电机控制技术研究
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
微电子技术和电力电子技术的飞速发展,为电机控制系统摆脱传统的三相拓扑限制奠定了基础,多相发电机与多相变流器结合,为实现大功率或者有更高可靠性要求的发电场合提供了一种新思路。双Y相移30°的六相永磁同步发电机具有低压大功率、容错性能好、控制灵活等优点,可广泛应用于新能源发电、全电推进的舰船发电机、多电飞机、电动车等领域。目前针对多相电机的研究中,对脉宽调制数字化实现、母线串联问题、容错控制中三次谐波问题及传统PI调制的鲁棒性不佳等问题还有待深入研究。论文主要针对六相永磁同步发电机(Six Phase Permanent Magnet Synchrounous Generator, Six Phase PMSG)的基本理论、多维空间脉宽调制方法、预测控制、容错控制中的三次谐波抑制等方面进行了研究,得到的结论和总结出的方法对多相发电机的应用具有理论指导意义和工程实践价值。
     论文基于绕组函数法分析了绕组磁动势的谐波机理,并对六相PMSG谐波磁动势的分布规律进行了分析,明确了六相PMSG与原动机组成的动力模型中能量传递关系。在六相PMSG相变量模型的基础上,通过正交坐标变换,建立了六相PMSG的空间解耦的数学模型,为后文的各种控制策略的提出打下基础。利用有限元法对六相PMSG的气隙磁密和反电动势进行了谐波分析,对各相绕组的自感和互感进行了计算,指出可以通过改变绕组因数来进行特定次谐波注入和消除,六相PMSG的设计应充分考虑各相绕组之间的互感关系。
     论文对部分解耦和完全解耦的两种矢量控制技术进行了深入的研究。首先对六相PMSG在两套三相对称绕组中性点隔离的情况下,采用部分解耦的双d-q空间矢量控制时,应用前馈控制消除交叉耦合电感带来的影响。通过对各个扇区的分析,得到导通时间与参考电压之间的系数变化规律。其次,针对最大四矢量法的调制波中心不对称的问题,提出了中心化处理后的最大四矢量PWM策略,对中心化处理后增加的基本矢量对开关导通时间系数的影响进行了分析,继而对连续型和离散型两种最大四矢量PWM方式的谐波机理进行了分析,并进行了仿真和实验验证。针对六相PMSG两套三相绕组经整流后母线串联时存在母线中点电位漂移的现象,通过在谐波子空间注入电流,解决了母线电压中点电位漂移问题。
     针对六相PMSG采用PI控制策略易受参数影响的问题,论文对预测电流控制和模型预测控制进行了深入细致的研究。通过建立六相PMSG的离散化预测模型,对两步法实现无差拍预测电流控制的过程进行推导,并提出将反馈电流的低频和高频成分分离,修正反馈环节,解决了传统预测电流控制中参考电流与输出电流存在稳态误差的问题。提出了一种基于状态空间变量的六相PMSG模型预测控制方法,建立了六相PMSG基于状态空间模型的预测标准型,同时对六相PMSG模型预测控制中目标函数和控制律参数的设计进行了分析。针对上述两种预测控制方法,实验证明两种控制方法具有快速响应、鲁棒性好的优点。
     最后,论文针对六相PMSG一相开路时三次谐波电感和磁链的影响进行了深入的研究,建立了一相绕组开路的六相PMSG的空间解耦的数学模型,并针对六相PMSG经一次同步旋转坐标变换后的d-q子空间电压不解耦的情况,提出了对d-q子空间电压完全解耦的二次旋转坐标变换。依据定子磁势不变原则,按照定子铜耗最小和定子电流幅值最小的优化方法,推导了一相开路后的六相PMSG的最优电流解。为消除三次谐波的影响,提出一种可以进行离线计算、工程实现简单的三次谐波闭环补偿控制策略,并对补偿量的大小进行了推导。
With the rapid development of micro-electronics and power electronicstechniques, the machine control systems have shaken off the traditional three phaseshackles. The multiphase generator combined with multiphase converter can meetthe requirements of high power and high reliability application. Six phase permanentmagnet synchronous generator (Six Phase PMSG) with dual Y connected and30degree phase shift has several advantages such as low voltage high power output,good performance in fault tolerant, flexible control techniques etc. It is quitesuitable for clean energy such as wind power and tidal energy generation, electricalship propulsion, more electric aircraft, electrical vehicle. At present, there havemany problems in multiphase machine control, such as pulse width modulation(PWM) digital implementation and DC bus series, the third harmonic interference infault tolerant control, poor performance in traditional PI control. This dissertationmainly focuses on the fundamental theory of six phase PMSG, multi-dimensionPWM control method, predictive control, third harmonic effects surpression in faulttolerrant control etc. The conclusions and summarized methods have directivesignificance and practical value in multiphase machine application.
     Based on the winding function,the machnism of magnetic-motive force (MMF)was analyzed which caused by winding space harmonics interaction with currentstime harmonics. The distribution law of six phase PMSG MMF was analyzed, andthis is the theoretical basis of following chapters. The two mass mechanical dynamicmodel was established which consists with six phase PMSG and prime mover. Byapplying orthogonal frame transformation, the phase variable models of six phasePMSG were transformed into space decoupling model, and they are the basis offollowing control strategies. The harmonics of air-gap flux density and back EMFwere analyzed by finite element analysis (FEA), at mean time, the inductances of sixphase PMSG were figured out by FEA also. By above calculation, the fixedharmonic can be eliminated by changing the winding coefficient was figured out.The design of six phase PMSG should be considered of mutual inductances ofinductance matrix.
     The incomplete and complete decoupling vector control methods were researcheddeeply. Firstly, the incomplete decoupling method was adopted to the two setwingdings with isolated neutral point topology, an improved control strategy withfeedforward control was proposed to eliminate the cross coupling effects. By theanalysis of each sector, the fixed coefficient variation law was deduced which the active time of the maximum four vectors (MFV) and stationary frame referencevoltage. It is difficult to implement the MFV because the pulse waves of MFV werenot center symmetrical. A improved continuous and a discrete MFV pulse widthmodulation (PWM) methods were proposed with centralized pulse waves, aftercentralized, the newly emerged basic vectors changed the law of active time andstationary frame reference voltage, and harmonic mechanism of MFV modulationwere analyzed, simulation and experiments validates the effectiveness of proposedstrategy. The two set windings with independent rectifier of Six Phase PMSG canseries the DC terminals together which increased the DC-bus voltage dramatically.However, the mid-voltage of the series two DC terminals drift frequently, a novelcontrol strategy was proposed to suppress the drift of DC-bus mid-voltage byinjecting the current in harmonic subspace.
     For the traditional PI control strategies of six phase PMSG were affected bymachine parameters frequently, the robust predictive current control (PCC) andmodel predictive control (MPC) were deeply researched. An improved deadbeatPCC control strategy was proposed, the discrete model of six phase PMSG wasestablished, and the process of realizing the deadbeat PCC in two steps was deducedclearly. By separating the high frequency components from currents and revising thefeedback part, an improved deadbeat PCC strategy was proposed to eliminate thesteady state error of reference and feedback currents in traditional method. A MPCstrategy for six phase PMSG was proposed based on state space variables. Thestandard form of MPC for six phase PMSG was established, and the cost functionand the parameters of contol law were studied in depth. The experiments validatethe two predictive algorithm merits, such as fast response and good robustness inparameter changing.
     Lastly, the fault tolerant control strategy in one phase opening mode wasresearched deeply which considering the third harmonic inductance and flux, thespace decoupling model of six phase PMSG were established, for the couplingrelationship of d-q voltage after synchronous frame transformation, to eliminate thethis coupling relationship, a second rotational transformation for d-q voltage wasproposed. According to MMF balance principle, and under the constraint of statorcopper loss minimum (SCLM) and stator current magnitude minimum (SCMM), theoptimized currents solutions for both constrains were figured out. To surppress thethird harmonic effects of flux and inductance in one phase open mode, acompensation control strategy was proposed which considering the third harmonicinductance and flux, it can be calculated offline, and simply implemented inengineering application, The compensation quantity for the closed loop control was deduced.
引文
[1] Estay G,Vattuone L,Kouro S,et al. Dual-boost-NPC converter for a dualthree-phase wind energy conversion system[C]//Proceedings of2012IEEEInternational conference on Power Electronics,drive and Energy Systems,Bengaluru,India,2012,1-6.
    [2] Mekri F,Benelghali S,Benbouzid M,et al. A fault-tolerant multiphasepermanent magnet generator for marine current turbine applications[C]//Pro--ceedings of2011IEEE International Symposium on Industrial Electronics(ISIE),Gdansk,Poland,2011:2079-2084
    [3] De Lillo L,Empringham L,Wheeler P W,et al. Multiphase Power ConverterDrive for Fault-Tolerant Machine Development in Aerospace Applications[J].IEEE Transactions on Industrial Electronics,2010,57(2):575-583.
    [4]张学广,王瑞,徐殿国.并联型三相PWM变换器环流无差拍控制策略[J].中国电机工程学报,2013,33(6):31-37.
    [5] Wang Xianwei,Zhuo Fang,Li Jing,et al. Modeling and control of dual-stagehigh power multifunctional PV system in d-q coordinate[J]. IEEETransactions on Industrial Electronics,2013,60(4):1556-1570.
    [6] Pan C T,Liao Y H.Modeling and control of circulating currents for parallelthree-phase boost rectifiers with different load sharing[J]. IEEE Transactionson Power Electronics,2008,55(7):2776-2785.
    [7]李瑞,徐壮,徐殿国.并联型永磁直驱风电系统的环流分析及其控制[J].中国电机工程学报,2011,31(6):38-45.
    [8] Senturk O. S, Helle L, Munk-Nielsen, et al. Power capability investigationbased on electrothermal models of press-pack IGBT three-level NPC andANPC VSCs for multimegawatt wind turbines[J]. IEEE Trans. on PowerElectronics,2012,27(7):3195-3206.
    [9] Xia Changliang, Gu Xin, Shi Tingna, et al. Neutral-point potential balancingof three-level inverters in direct-driven wind energy conversion system[J].IEEE Trans. on Energy Conversion,2011,26(1):18-29.
    [10] Guan Minyuan,Xu Zheng. Modeling and contol of a modular multilevelconverter-based HVDC system under unbalanced grid conditions[J]. IEEETrans. on Power Electronics,2012,27(12):4858-4867.
    [11]王琛琛,李永东.多电平变换器拓扑研究及其最新进展[J].电力电子,2008,(4):5-11.
    [12]曾翔君,张宏韬,李迎,等.大功率直驱风电系统高效率变流器设计[J].中国电机工程学报,2010,30(30):15-21.
    [13] Damiana A, Marongiu I, Monni A, et al. Design of a10MW multi-phase PMsynchronous generator for direct-drive wind turbines[C]//Proceedings ofIECON2013, Vienna,2013:5266-5270.
    [14]郝振洋,胡育文,黄文新,等.电力作动器中永磁容错电机的电感和谐波分析[J].航空学报,2009,30(6):1063-1069.
    [15] Bojoi R, Cavagnino A, Tenconi A, et al. Multiphase PM machine for MoreElectric Aircraft applications: Prototype for design validation[C]//Proceedings of IEEE Industrial Electronics Society, Montreal QC,Canada,2012:3628-3634.
    [16] Subotic I, Levi E, Jones M, et al. An integrated battery chager for EVs basedon an asymmetrical six phase machine[C]//Proceedings of the IEEEIndustrial Electronics Society, IECON, Vienna,2013,7244-7249.
    [17] Chan C C, Bouscayrol A, Chen K. Electric, Hybrid, and Fuel-Cell Vehicles:Architectures and Modeling[J]. IEEE Transactions on Vehicular Technology,2010,59(2):589-598.
    [18] Hegazy O, Van M.J, Lataire P, et al. Integrated power electronics interfacefor plug-in hybrid electric vehicle applications[C]//Proceedings of20127thInternational Integrated Power Electronic systems, Nuremberg, Mar.2012:1-6.
    [19] Levi E. Multiphase Electric Machines for Variable-Speed Applications[J].IEEE Transactions on Industrial Electronics,2008,55(5):1893-1909.
    [20]尹靖元,金新民,吴学智,等.基于带通滤波器的LCL型滤波器有源阻尼控制[J].电网技术,2013,37(8):2376-2382.
    [21] Jalili K, Bernet S. Design of LCL filters of active-front-end Two-levelvoltage source converters[J]. IEEE Transactions on Industrial Electronics,2009,56(5):1674-1689.
    [22]杨淑英.双馈型风力发电变流器及其控制[D].合肥:合肥工业大学博士学位论文,2007:258-260.
    [23] Brisset S,Vizireanu D, Brochet P. Design and optimization of a nine-phaseaxial-flux PM synchronous generator with concentrated winding for directdrive wind turbine[J]. IEEE Transaction on Industry Applications,2008,44(3):707-715.
    [24] Duran M J,Kouro S,Wu B,et al.Six-phase PMSG wind energy conversionsystem based on medium-voltage multilevel converter[C]//Proceedings ofthe2011-14th European Power Electronics and Applications (EPE2011).Birmingham,UK: EPE2011,2011,1:1-10.
    [25] Klingshirn E A.High phase order induction mortors-Part I:Description andtheoretical consideration[J].IEEE Transaction on Power Apparatus andSystems,1983,102(1):47-53.
    [26] Marouani K,Baghli L,Hadiouche D,et al.A New PWM Strategy Basedon a24-Sector Vector Space Decomposition for a Six-Phase VSI-Fed DualStator Induction Motor[J].IEEE Transaction on Industrial Electronics,2008,55(5):1910-1920.
    [27] Wang Tiejun,Fang Fang,Wu Xusheng,et al.Novel filter for stator harmoniccurrents reduction in six-step converter fed multiphase induction motordrives[J]. IEEE Transaction on Power Electronics,2013,28(1):498-506.
    [28]薛山,温旭辉,王又珑.多相永磁同步电机多维控制技术[J].电工技术学报,2008,23(9):65-69.
    [29]王晋.多相永磁电机的理论分析及其控制研究[D].武汉:华中科技大学博士学位论文,2010:29-31.
    [30] Vizireanu D,Brisset S,Brochet P.Design and optimization of a9-phaseaxial-flux PM synchronous generator with concentrated winding fordirect-drive wind turbine[C]//Proceedings of IEEE Industry ApplicationsSociety,2006,(4):1912-1918.
    [31] Jahns T M. Improved reliability in solid-state ac drive by means of multipleindependent phase drive units[J]. IEEE Transactions on IndustrialApplication,1980,16(3):321-331.
    [32] Abbas M A, Christen R,Jahns T M.Six-phase voltage source inverterdriven induction motor[J]. IEEE Transactions on Industrial Application,1984,20(5):1251-1259.
    [33] Rastegar Fatemi S.M.J, Abjadi N.R, Soltani J, et al Speed sensorless controlof a six phase induction motor drive using backstepping control[J]. IETTransaction on Power Electronics,2014,7(1):114-123.
    [34] Che H.S, Levi E, Jones M, et al. Current control methods for anasymmetrical six phase induction motor drive[J]. IEEE Transactions onPower Electronics,2014,29(1):407-417.
    [35] Klingshirn E A.High phase order induction mortors-Part II:Experimentalresults[J].IEEE Transaction on Power Apparatus and Systems,1983,102(1):54-59.
    [36] Lin Faa-Jeng, Hung Ying-Chih, Hwang Jonq-Chin, et al.Fault-tolerantcontrol of a six phase motor drive system using a takagi-sugeno-kang typefuzzy neural network with asymmetric membership function[J]. IEEETransactions on Power Electronics,2013,28(7):3557-3572.
    [37] Jen-Ren Fu,Lipo T A.Disturbance-free operation of a multiphase currentregulated motor drive with an opened phase[J]. IEEE Transactions onIndustry Applications,1994,30(5):1267-1274.
    [38] Zhao Yifan,Lipo T.A.Modeling and control of a multi-phase inductionmachine with structural unbalance:PART1Machine Modeling and Multi--dimensional Current Regulation[J].IEEE Transactions on EnergyConversion,1996,11(3):570-577.
    [39] Zhao Yifan,Lipo T.A.Modeling and control of a multi-phase inductionmachine with structural unbalance:PART2Machine Modeling and Multi--dimensional Current Regulation[J].IEEE Transactions on EnergyConversion,1996,11(3):578-584.
    [40] Levi E,Bojoi R,Profumo F,et al.Multiphase induction motor drive-atechnology status revie[J].IET Electronics and Power Application,2007,1(4):489–516.
    [41] Levi E,Bodo N,Dordevic O.Recent advances in power electronic convertercontrol for multiphase drive systems[C]//Proceedings of2013IEEE Work--shop on Electrical Machines Design,Control and Diagnosis,2013:158-167.
    [42] Toliya H A.Analysis and simulation of five-phase variable-speed inductionmotor drives under asymmetrical connections[J].IEEE Transactions onPower Electronics,1998,13(4):748-756.
    [43] Toliya H A.Transient analysis of cage induction machines under stator,rotor bar and end ring faults[J].IEEE Transactions on Energy Conversion,1995,10(2):241-247.
    [44] Ryu Hyung-Min,Kim Ji-Woong,Sul Seung-Ki.Synchronous-frame currentcontrol of multiphase synchronous motor under asymmetric fault conditiondue to open phases[J].IEEE Transactions on Industry Applications,2006:42(4):1062-1070.
    [45] Ryu Hyung-Min,Kim Ji-Woong,Sul Seung-Ki.Analysis of multiphasespace vector pulse-width modulation based on multiple d-q spaces concept[J].IEEE Transactions on Power Electronics,2005,20(6):1364-1371.
    [46] Duran M J,Barrero F,Toral S,et al.Multi-phase generators viability foroffshore wind farms with HVDC transmission[C]//Proceedings ofInternational Conference on Renewable Energies and Power QualityICREPQ,Valencia,Spain,2009,CD-ROM.
    [47]吴始栋.图解美国海军全电力推进系统及电力战舰[J].现代舰船,2009,(12):26-28.
    [48]王凤良,吴宏,杨东升.英国综合电力推进系统的发展道路和启示[J].机电设备,2007,(4):33-35.
    [49] Damiano A,Gatto G,Marongiu I,et al.A Multi-Phase PM SynchronousGenerator Torque Control for Direct-Drive Wind Turbines[C]//Proceedingsof International Symposium on Power Electronics,Electrical Drives,Automation and Motion,2012:962-968.
    [50]曾翔君,张宏韬,李迎,等.基于多相PMSG和三电平变流器的风电机组低电压穿越[J].电力系统自动化,2012,36(11):23-29.
    [51] Wang Jin,Qu Ronghai,Liu Yingzhen.Comparison study of superconductinggenerators With Multiphase Armature Windings for Large-Scale Direct-Drive Wind Turbines[J].IEEE Transaction on Applied Superconduntivity,2013,23(3):5201005.
    [52] Bjorn A,Jens B.A high power density converter system for the GamesaG10x4,5MW wind turbine[C]//Proceedings of2007European Conferenceon Power Electronics and Applications,Aalborg,Denmark,2007:1-8.
    [53] Singh G K,Kumar A S,Saini R P. Selection of capacitor for self-excited sixphase induction generator for stand-alone renewable energy generation[J].Energy,2010,35:3273-3283.
    [54] Singh G K,Nam K,Lim S K. A simple indirect field-oriented controlscheme for multiphase induction machine[J].IEEE Transation on IndustryElectronics,2005,52(4):1177-1184.
    [55]黄进. n相对称系统变换理论在分析6相双Y无换向器电机中的应用[J].电工技术学报,1995,(2):8-12.
    [56]吴旭升,马伟明,孙俊忠,等.交直流混合供电的多相电机超瞬变电抗的测定[J].中国电机工程学报,2002,22(11):64-69.
    [57]康敏.单绕组多相无轴承电机的研究[D].杭州:浙江大学博士学位论文,2008:19-20.
    [58]王铁军.多相感应电动机的谐波问题研究[D].武汉:华中科技大学博士学位论文,2009:81-85.
    [59]王晋.多相永磁电机的理论分析及其控制研究[D].武汉:华中科技大学博士学位论文,2010:30-31.
    [60]张经纬,祝后权,黄振华,等.多相集中整距绕组感应电机的建模与仿真[J].电机与控制学报,2010,14(9):75-80.
    [61]张敬南,丛望,代科.多相Y绕组同步电动机数学模型研究[J].哈尔滨工程大学学报,2007,28(7):758-761.
    [62] Li Shan,Xiao Huihui,Chen Hongyan. The research of SVPWM controltechnique of double three-phase induction machine[C]////Proceedings ofICEMS. New York:IEEE,2005:109-114.
    [63] Zhu Jianguang,Zhang Hongyang, Tang Renyuan.The study and modeling ofmulti-phase PMSM variety speed system with high fault-tolerantd[C]//Proeeedings of the ICEMS,2008:3102-3107.
    [64]孟超,欧阳红林,刘伟侯,等.双Y移30°永磁同步电机的空间矢量调制[J].中国电机工程学报,2010,30(3):90-98.
    [65]薛山.多相永磁同步电机驱动技术研究[D].北京:中国科学院研究生院,2005:64-66.
    [66]李建春.多相化无刷直流电动机系统模型、运行控制与容错的研究[D].哈尔滨:哈尔滨工业大学博士学位论文.1997:17-18.
    [67]杨金波,李铁才,杨贵杰.一相开路双三相永磁同步电机建模与控制[J].电工技术学报,2011,26(10):167-173.
    [68] Barcaro M,Bianchi N,Magnussen F. Faulty Operations of a PM FractionalSlot Machine With a Dual Three-Phase Winding[J]. IEEE Transactions onIndustrial Electronics,2011,58(9):3825-3832.
    [69] Renukadevi G, Rajambal K. Generalized model of multi-phase inductionmotor drive using matlab/simulink[C]//Proceedings of Innovative SmartGrid Technologies-India, Kollam, Kerala, India, Dec.2011:114-119.
    [70] Parsa L, Toliyat H A. Five-Phase Permanent-Magnet Motor Drives[J]. IEEETransactions on Industry Applications,2005,41(1):30-37.
    [71]赵品志,杨贵杰,李勇.三次谐波注入式五相永磁同步电机转矩密度优化[J].中国电机工程学报,2010,30(33):71-77.
    [72] Toliyat H A. Analysis and Simulation of Five-Phase Variable-SpeedInduction Motor Drives Under Asymmetrical Connections[J]. IEEETransactions on Power Electronics,1998,13(4):748-756.
    [73] Hadiouche D, BAGHLI L, REZZOUG A. Space vector PWM techniques fordual three-phase AC machine: analysis, performance evaluation, and DSPimplementation[J]. IEEE Transactions on Industry Applications,2006,42(4):1112-1122.
    [74] Mengoni M, Tani A, Zarri L, et al. Position control of a multi-motor drivebased on series-connected five phase tubular PM actuator[J]. IEEETransactions on Industry Applications,2012,48(6):2048-2058.
    [75]姜海博,黄进,康敏.单绕组五相永磁无轴承电机的SVPWM控制[J].电工技术学报,2011,26(1):34-39.
    [76]杨金波.双三相永磁同步电机驱动技术研究[D].哈尔滨:哈尔滨工业大学博士学位论文,2011:37-39,49-50.
    [77] Gritter D,Kalsi S S,Henderson N. Variable speed electric drive options forelectric ships[C]//Proceedings of2005IEEE Electric Ship TechnologiesSymposium,Philadelphia,USA,2005:347-354.
    [78] Marwa B S,Larbi K M, Mouldi B F, et al. Modeling and analysis of doublestator induction machine supplied by a multi level inverter[C]//Proceedingsof the Mediterranean Electrotechnical Conference–MELECON, YasmineHammamet, Tunisia,2012:269-272.
    [79] Neugebauer T C,Perreault D J,Lang J H,et al. A six-phase multilevelinverter for MEMS electrostatic induction micromotors[J]. IEEETransactions on Circuits and Systems—II:Express Briefs,2004,51(2):49-56.
    [80] Li Shan,Xiao Huihui,Chen Hongyan. The Research of SVPWM ControlTechnique of Double Three-Phase Induction Machine[C]//Proceedings of8thInternational Conference on Electrical Machine and Systems, New York,USA.2005:109-114.
    [81] Fu J R,Lipo T A.Disturbance-free operation of a multiphase currentregulated motor drive with an open phase[J].IEEE Trans on IndustryApplication,1994,30(5):1267-1274.
    [82] Apsley J M. Open-circuit fault mitigation for multiphase induction motorswith a unified control structure[C]//Proceedings of5th IET InternationalConference on Power Electronics, Machines and Drives,2010:1-6.
    [83]赵品志,杨贵杰,李勇.五相永磁同步电动机单相开路故障的容错控制策略[J].中国电机工程学报,2011,31(24):68-76.
    [84] Jacobina C B,Miranda R S,Correa M B D R,et al. Disturbance-freeoperation of a six-phase ac motor drive system[C]//Proceedings of2004IEEE35th Annual Power Electronics Specialists Conference,2004(2):925-931.
    [85]杨金波,杨贵杰,李铁才.一相开路双三相永磁同步电机的建模与控制[J].电工技术学报,2011,26(10):167-173.
    [86] Shamsi-Nejad M A,Nahid-Mobarakeh B,Pierfederici S,et al.Fault tolerantand minimum loss control of double-star synchronous machines under openphase conditions[J].IEEE Trans on Industrial Electronics,2011,55(5):1956-1965.
    [87] Kianinezhad R,Nahid-Mobarakeh B,Baghli L,et al. Modeling and Controlof Six-Phase Symmetrical Induction Machine Under Fault Condition Due toOpen Phases[J]. IEEE Transactions on Industrial Electronics,2008,55(5):1966-1977.
    [88] Dwari S, Parsa L. An Optimal Control Technique for Multiphase PMMachines Under Open-Circuit Faults[J]. IEEE Transactions on IndustrialElectronics,2008,55(5):1988-1995.
    [89] Hyung-min R,Ji-woong K,Seungki S.Synchronous frame current controlof multiphase synchronous motor under asymmetric fault condition due toopen phases[J].IEEE Transactions on Industrial Applications,2006,42(4):1062-1070.
    [90]郝振洋,胡育文,黄文新,等.永磁容错电机最优电流直接控制策略[J].中国电机工程学报,2011,31(6):46-51.
    [91] Levi E, Jones M, Vukosavic S N, et al. Modeling, Control, andExperimental Investigation of a Five-Phase Series-Connected Two-MotorDrive with Single Inverter Supply[J]. IEEE Transactions on IndustrialElectronics,2007,54(3):1504-1516.
    [92] Levi E, Jones M, Vukosavic S N, et al. Steady-State Modeling ofSeries-Connected Five-Phase and Six-Phase Two-Motor Drives[J]. IEEETransactions on Industry Applications,2008,44(5):1559-1568.
    [93]席裕庚,李德伟.模型预测控制—现状与挑战[J].自动化学报,2012,38(9):1-15.
    [94]孔小兵,刘向杰.双馈风力发电机非线性模型预测控制[J].自动化学报,2013,39(5):636-643.
    [95] Aguilera R P,Lezana P,Quevedo D E. Finite-control-set model predictivecontrol with improved steady-state performance[J]. IEEE Transactions onIndustrial Informatics,2013,9(2):658-667.
    [96] Cortes P, Kazmierkowski M P, Kennel R M, et al. Predictive Control inPower Electronics and Drives[J]. IEEE Transactions on IndustrialElectronics,2008,55(12):4312-4324.
    [97]牛里,杨明,王庚,等.基于无差拍控制的永磁同步电机鲁棒电流控制算法研究[J].中国电机工程学报,2013,33(15):78-85.
    [98]于蓉蓉,魏学业,吴小进,等.一种改进预测电流控制算法[J].电工技术学报,2010,25(7):100-107.
    [99]李玉玲,王克柔,林辉品,等.三相Boost并网逆变器的离散时间预测控制[J].中国电机工程学报,2011,31(15):22-26.
    [100] Moreno J C,Huerta J M E,Gil R G,et al. A Robust Predictive CurrentControl for Three-Phase Grid-Connected Inverters[J]. IEEE Transactionson Industrial Electronics,2009,56(6):1993-2004.
    [101] Sharifian M B B,Herizchi T,Firouzjah, K G. Field oriented control ofpermanent magnet synchronous motor using predictive space vectormodulation[C]//Proceedings of IEEE Symposium on Industrial Electronics&Applications, Kuala Lumpur, Malaysia,2009(2):574-579.
    [102] Rodriguez J,Kazmierkowski M P,Espinoza J R,et al. State of the Art ofFinite Control Set Model Predictive Control in Power Electronics[J]. IEEETransactions on Industrial Informatics,2013,9(2):1003-1016.
    [103] Alireza D S,Khaburi D A,Kennel, R. An Improved FCS-MPC Algorithmfor an Induction Motor With an Imposed Optimized Weighting Factor[J].IEEE Transactions on Power Electronics,2012,27(3):1540-1551.
    [104] Kouro S,Cortes P,Vargas R,et al. Model Predictive Control--A Simpleand Powerful Method to Control Power Converters[J]. IEEE Transactionson Industrial Electronics,2009,56(6):1826-1838.
    [105]张聚,万森林.显式模型预测控制综述[C]//Proceedings of the31stChineseControl Conference, Hefei,2012:4233-4238.
    [106] Aguilera R P,Lezana P,Quevedo D E. Finite-Control-Set Model PredictiveControl With Improved Steady-State Performance[J]. IEEE Transactions onIndustrial Informatics,2013,9(2):658-667.
    [107] Toliyat H A,Lipo T A,White J C. Analysis of concentrated windinginduction machine for adjustable speed drive application. I. motoranalysis[J]. IEEE Transaction on Energy Conversion,1991,6(4):679-683.
    [108]康敏,黄进,刘东,等.多相异步电机参数的计算与测量[J].中国电机工程学报,2010,(24):81-87.
    [109]汪令祥.永磁同步直驱型全功率风机变流器及其控制[J].合肥:合肥工业大学博士学位论文,2010:40-41.
    [110]熊健,康勇,张凯,等.电压空间矢量调制与常规SPWM的比较研究[J].电力电子技术,1999(1):25-28.
    [111]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.
    [112] Marouani K,Baghli L,Hadiouche D, et al. Discontinuous SVPWMTechniques for Double Star Induction Motor Drive Control[C]//IEEEIndustrial Electronics32nd Annual Conference, IECON2006. Paris,France,2006:902-907.
    [113] Che H S,Duran M J,Hew W P,et al. Dc-link Voltage Balancing ofSix-phase Wind Energy Systems with Series-connected Machine-sindConverters and NPC Grid-side Converter[C]//IEEE IECON,2012, pp.3541–3546.
    [114] Preindl M, Schaltz E. Load Torque Compensator for Model PredictiveDirect Current Control in High Power PMSM Drive[C]//Proceedings ofISIE, Bari, IEEE,2010:1347-1352.
    [115] Bolognani, S, Bolognani, S, Peretti, L, et al. Design and Implementation ofModel Predictive Control for Electrical Motor Drives[J]. IEEETransactions on Industrial Electronics,2009,56(6):1925-1936.
    [116]符晓,戴鹏,伍小杰,等.电励磁同步电动机模型预测控制[J].浙江大学学报(工学版),2011,45(5):816-818.
    [117] Mariethoz S, Domahidi A, Morari, M. High-Bandwidth Explicit ModelPredictive Control of Electrical Drives[J]. IEEE Transactions on IndustrialApplications,2012,48(6):1980-1992.
    [118]李玉玲,鲍建宇,张仲超.基于模型预测控制的单位功率因数电流型PWM整流器[J].中国电机工程学报,2006,26(19):60-64.
    [119]刘富春.多变量有约束模型预测控制算法及软件实现研究与应用[D].杭州:浙江大学博士学位论文,2003:3-4.
    [120] Yaramasu V, Rivera M, Bin Wu, et al. Model Predictive Current Control ofTwo-Level Four-Leg Inverters——Part I: Concept, Algorithm, andSimulation Analysis[J]. IEEE Transactions on Power Electronics,2013,28(7):3459-3468.
    [121] Vyncke T J, Thielemans S, Melkebeek J A. Finite-Set Model-BasedPredictive Control for Flying-Capacitor Converters: Cost Function Designand Efficient FPGA Implementation[J]. IEEE Transactions on Industrialinformatics,2013,9(2):1113-1121.
    [122] Barrero F, Prieto J, Levi E, et al. An Enhanced Predictive Current ControlMethod for Asymmetrical Six-Phase Motor Drives[J]. IEEE Transactions onIndustrial Electronics,2011,58(8):3242-3252.
    [123] Kouro S, Cortes P, Vargas R, et al. Model Predictive Control—A Simple andPowerful Method to Control Power Converter[J]. IEEE Transactions onIndustrial Electronics,2009,56(6):1826-1828.
    [124] Davari S A, Khaburi D A, Kennel R. An Imposed FCS-MPC Algorithm foran Induction Motor With an Imposed Optimized Weighting Factor[J]. IEEETransation on Power Electronics,2012,27(3):1540-1551.
    [125]王晓琳,任新宇,邓智泉,等.短路容错控制在多相无轴承永磁同步电机中的可行性分析[J].电工技术学报,2012,27(3):105-118.