级联型逆变器控制方法及其在高压变频领域应用研究
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摘要
高压变频调速技术是电力电子领域的一个制高点技术,涉及大功率交流电动机的各类负载调速和节能。高压变频器不像低压变频器一样具有成熟一致的拓扑结构。H桥级联型多电平逆变器由于具有模块化工程设计、利用低压元器件实现逆变器高压输出、便于逆变器故障冗余设计等特点而成为高压变频器主要的拓扑结构。H桥级联型逆变器由于需要实时控制众多功率开关器件,其调制方法一直是研究的热点与难点,本文重点研究与提出了适合于H桥级联型逆变器不同的调制方法,并寻找它们之间的相互关联性和规律,对不同调制方法进行了理论分析、仿真与实验验证,为提高H桥级联型逆变器在高压变频领域的控制性能提供了一些有效的方法,本文还对可以四象限运行的回馈级联型逆变器进行了研究。
     H桥级联型多电平逆变器由于存在多个H桥与众多的功率开关器件需要同步控制,其所需要的调制脉冲相比低压逆变器成倍增加,为了简化级联型逆变器PWM脉冲的求取,“相移原理”是在求出H桥级联型逆变器第一层H桥PWM脉冲后得到其它各层H桥PWM脉冲最简单与直观的方法。
     本文以H桥级联型逆变器最常用的调制方法—“相移SPWM"为基础,通过改变相移SPWM的“双极性载波”分别为“反向单极性载波”与“同相单极性载波”推出了适合于H桥级联型逆变器的“新型载波反向相移SPWM"与“新型载波同向相移SPWM",该调制方式在一个调制波周期中使功率开关器件有半个周期处于常开或常闭状态,可以有效减小开关损耗。以推出的新型载波相移SPWM为基础,改变其以三角载波与正弦调制波相比较的脉冲产生方式为电流滞环控制脉冲产生方式推出了适合于H桥级联型逆变器的“变环宽恒频电流滞环控制方法”,其可以实现逆变器实际输出电流对给定电流的快速跟踪。
     本文以H桥级联型逆变器相移SPWM为基础,改变其脉冲产生方式为SVPWM,推出了适合于H桥级联型逆变器的“相移SVPWM"。SVPWM其在二电平逆变器高性能的矢量控制中得到了广泛运用。SVPWM实质也是由SPWM演变而来,SVPWM仅适用于只有八个开关状态的二电平逆变器,而不能直接运用于拥有大量开关状态的H桥级联型逆变器。本文从H桥级联型逆变器拓扑结构出发,推出了H桥级联型逆变器电压输出实质为其各H桥左桥臂形成的二电平逆变器组与各H桥右桥臂形成的二电平逆变器组输出电压之差,从而利用相移原理与SVPWM推出了适合于H桥级联型逆变器的“相移SVPWM"。本文还对H桥级联型逆变器基于相移SVPWM对电机实行“按转子磁场定向矢量控制”进行了研究。
     相移原理侧重于H桥级联型逆变器调制脉冲的简易产生与逆变器每相各H桥输出PWM电压的相移叠加,但其很难通过对调制方法的改进来实现级联型逆变器输出性能的优化,为此本文对H桥级联型逆变器45。坐标系下简化空间矢量调制与性能优化进行了研究。H桥级联型逆变器简化空间矢量调制中,需要采样逆变器输出电压在每个采样周期中的电压矢量,此时可以对每个采样周期中单个电压矢量的调制方法进行改变来实现H桥级联型逆变器输出性能的改善。本文对H桥级联型逆变器45。坐标系下“优化开关频率的调制算法”和“抑制逆变器零序电压输出的调制算法”进行了研究,其分别可以有效减小逆变器开关损耗与减小逆变器输出电压在电机中形成的共模电压。本文还对具有回馈功能的H桥级联型逆变器进行了研究,为级联型逆变器在需要四象限运行的场合提供了一定理论基础。
     对以上本文提出的各种调制方法在理论分析的同时,在文中辅以大量的仿真波形,说明了所提方法的正确性与有效性。
     本文最后对H桥级联型逆变器在高压变频领域的应用进行了工程化设计。对H桥级联型逆变器主要控制部分电路进行了软硬件设计,其包括:基于FPGA的多路脉冲触发器设计和基于DSP的主控制部分硬件电路设计与软件设计等。对本文所提的各种调制方法在H桥级联型高压变频器工程装置上进行了实验验证,给出了各种实验波形,验证了本文所提各调制方法的正确性,其对促进H桥级联型逆变器在高压变频领域的应用具有很好的工业应用前景。
The technology to adjust speed with variable frequency and high voltage is a commanding heights technology in the field of power electronic,which involves speed regulation and energy-saving for high power ac motor with all kinds of load.High voltage inverter has not a mature and consistent topological structure as low voltage inverter.H bridge cascaded multilevel inverter(HBCMI) is becoming the main topological structure of high-voltage inverter because of the features of the modular design.the use of low voltage components to realize high voltage output.the facilitating of fault redundancy design for inverter.etc.The modulation method is the hot issue and difficulty in study for HBCMI due to the need of real-time control to many power switch devices. This paper researchs and puts forward different modulation method suitable for HBCMI, and looks for the relationship and discipline between them.It makes the theory analysis, simulation and experimental validation for different modulation method,and provides some effective methods to improve the control performance for HBCMI in the field of high voltage variable frequency.This paper also makes research on feedback cascaded inverter with four quadrant operation.
     Because HBCMI has many H bridges and power switch devices which need synchronization control, it needs multiplied modulation pulse compared to low voltage inverter.In order to simplify the calculating of PWM pulse for HBCMI, the phase shift principle is the most simple and intuitive method which is in for the PWM pulses of other each layer H bridge after getting the first layer H bridge' PWM pulse.
     The most commonly used modulation method-"phase shift SPWM" for HBCMI is taken as the foundation of this paper.The " new carrier reverse phase shift SPWM "and" new carrier same phase shift SPWM "are taken out by changing the double polarity carrier of phase shift SPWM to" reverse single polarity carrier "and" same phase polarity carrier " respectively.The modulation mode can effectively reduce switch loss because the power switching device remains on or off state for half a cycle in each cycle of modulation wave.With the launch of the new carrier phase shift SPWM,"variable ring width constant frequency current hysteresis control method" is taken out by changing its pulses producing way by the comparing of triangle carrier and sine wave to current hysteresis control which can realize the fast track of inverter actual output current to given current.
     In this paper, based on the phase shift SPWM of HBCMI,"phase shift SVPWM" is launched by the changing of implementing pulse to SVPWM.SVPWM is widely applied in high performance vector control for two level inverter.SVPWM actually is evolved by SPWM.SVPWM is only applied to two level inverter with eight switch states and can not be directly applied to HBCMI with a large switch states.The output voltage of HBCMI is the difference value between two level inverter group'output voltage formed by left bridge arms of all H bridges and two level inverter group' output voltage formed by right bridge arms of all H bridges from the topology of HBCMI.So a suitable modulation of "phase shift SVPWM" is introduced for HBCMI by the use of phase shift principle and SVPWM.This paper also makes research on "rotor field-oriented vector control"to motor by the implementing of HBCMI's phase shift SVPWM.
     Phase shift principle is focus on the simple and easy generation of modulation pulse for HBCMI which is hard to achieve inverter output performance optimization by improving modulation method.So this paper makes research on simplified space vector modulation and its performance optimization in450coordinate system for HBCMI.Because it needs to sample the inverter output voltage in every sampling period for HBCMI in simplified space vector modulation, the single voltage vector modulation method can be changed to improve the inverter's output performance in each sampling period."optimization switch frequency modulation algorithm " and "inhibit inverter zero sequence voltage output modulation algorithn" in450coordinate system for HBCMI are researched,which can effectively reduce the inverter switch loss and reduce the common mode voltage forming by inverter output voltage in the motor respectively. This paper also makes research on HBCMI with the feedback function and provides some theoretical basis in the occasion which need four quadrant operation for HBCMI.
     The paper not only makes theoretical analysis to the above proposed all sorts of modulation methods,but also gives a large number of simulation waveform to prove the modulation methods correct and effective at the same time.
     This paper finally makes engineering design for the application of HBCMI in the field of high voltage variable frequency.The paper gives out the main circuit's hardware and software design to HBCMI,which includes multi-channel pulse trigger design based on FPGA, the main control circuit's hardware design and part software design based on DSP, etc.The proposed all kinds of modulation method for HBCMI are validated in the engineering device of high voltage inverter and it gives out all the waveforms which verifys the correctness of the proposed modulation methods.The paper can promote the very good industrial application prospect for HBCMI in high voltage variable frequency areas.
引文
[1]吴忠智,吴加林.变频器应用手册.北京:机械工业出版社,2003,1-4.
    [2]韩安荣.通用变频器及其应用.北京:机械工业出版社,2000,10-15.
    [3]王兆安,黄俊.电力电子技术.北京:机械工业出版社,2004,150-154.
    [4]许大中,贺益康.电机控制.杭州:浙江大学出版社,2002,65-71.
    [5]吴忠智,吴加林.中(高)压大功率变频器应用手册.北京:机械工业出版社,2003,1-4.
    [6]Jose Rodriguez,Jih-Sheng Lai,Fang Zheng Peng.Multilevel inverters:a survey of topologies,controls,andapplications.IEEE Trans.on Industrial Electronics,2002,4 9 (4):724-738.
    [7]R.Teodorescu et al.Multilevel Converters-A Survey.Proc.of EPE'99,7-10.
    [8]A Nabae, I Takahashi, H Akagi. A New Neutral-Point-Clamped PWM Inverter. IAS'80:761-766.
    [9]Pradeep M.Bhagwat et al.Generalized Structure of a Multilevel PWM Inv ert er. IEEE Trans.Industry Applications,1993, Vol.IA-19,No.6,1057-1069.
    [10]Lai J S, Peng F Z. Multilevel Converters-A New Breed of Power Converters. IEEE Trans on Industry Applications,1996,32(3):509-517.
    [11]Nabae A, Takahashi I,Akagi H. A new neutral-point clamped PWM inverter. IEEE Trans.Ind. on Applicat,1981,17:518-523.
    [12]Meynard T A, Foch H. Multi-level choppers for high voltage applications. Journal of European Power Electronics and Drives Journal,1992,2(1):41.
    [13]Hochgraf C, Lasseter R, Divan D, et al. Comparison of Multilevel Inverters for Static Var Compensation. Conference Recorder of IEEE/IAS Annual Meetings, 1994:921-928.
    [14]Hammond P. A New Approach to Enhance Power Quality for Medium Voltage AC Drives. IEEE Trans on Industry Applications,1997,33(1):202-208.
    [15]Cengelci E, Sulistijo S U, Woom B O, et al. A New Medium Voltage PWM Inverter Topology for Adjustable Speed Drives. Conference Recorder of the IEEE IAS Annual Meeting,1998:1416-1423.
    [16]F. Z. Peng and J. S. Lai.Multilevel cascade voltage-source inverter with separate DC sources. U.S. Patent 5 642 275, June 24,1997.
    [17]L. Tolbert and T. G. Habetler.Novel multilevel inverter carrier-based PWM method. IEEE Trans. Ind. Applicat,1999,vol.35,1098-1107.
    [18]M-D.Manjrekar,P.K.Steimer,and T.A,Lipo.Hybrid multilevelpower conversion system:a competitive solution for high-power applications.IEEE Trans lnd Applicat,2000,36 (01),834-841.
    [19]R.Lund,M.Manjrekar,P.Steimer,and T.Lipo,Control strategy for a hybrid seven-level inverter.inProc.European Power Electronics Conf.(EPE'99),Lausa nne,S witzerland,1999,CD-ROM.
    [20]陈阿莲,何湘宁,吴洪洋,赵荣祥.基于基本单元串-并(并-串)思想生成多电平变换器拓扑的方法.电工技术学报,2004,19(2),41-45.
    [21]Corzine keith,Familiant Yakov.A new cascade multilevel H-bridge drive IEEE Trans.On Power Electronics,2002,17(1),125-131.
    [22]F.Z.Peng. A generalized multilevel inverter topology with self voltage balanci ng. IEEE Trans lnd.Applicat,2001,1(37),611-618.
    [23]陈阿莲,邓焰,何湘宁.一种具有冗余功能的多电平变换器拓扑.中国电机工程学报,2003,23(9),34-38.
    [24]Manyuan Ye, Pinggang Song, and Chaowei Zhang.Study of Harmonic Elim inati on Technology for Multi-level Inverters. in Conf. Rec. IEEE IAS Annu. Meeting, Oct.2008, vol.6, pp.242-245.
    [25]费万民,吕征宇,姚文熙.多电平逆变器特定谐波消除脉宽调制方法的仿真研究.中国电机工程学报,2004,24(1):102-106.
    [26]N.Celanovic,D.Boroyevich.A fast space vector modulation algorithm for mult ile vel three-phase converters.Proc.of IEEE IAS 1999,Vol.2:1173-1177.
    [27]Y H.Lee,R V Kim,and D.S.Hyun.A novel SVPWM strategy considering DC-link balancing for a multilevel voltage source inverter.Proc.of IEEE APEC'99,1999,V 01.1:509-514.
    [28]B. P. McGrath,D.G Holmes,and T. A.Lipo.Optimized space vector switching sequences for multilevel inverters,Proc.Of IEEE APEC,Anaheim,CA,Mar.4-8,2001,1123-1129.
    [29]卫三民,孙旭东,刘丛伟,李发海.串联H桥多电平变频器电压空间矢量控制算法.清华大学学报(自然科学版),2003,43(3):366-368.
    [30]王长永.组合变流器CPS-SPWM技术及其在有源电力滤波器中的应用研究究.浙江大学,博士学位论文,2000年12月.
    [31]李建林.载波相移级联H桥型多电平变流器及其在有源电力滤波器中的应用研究.浙江大学,博士学位论文,2005年4月.
    [32]Leon M Tolbert,Thomas G Habetler.Novel Multilevel Inverter Carrier-based PWM Method[J].IEEE Trans On Industry Application,1999,35(5):1098-1107.
    [33]江友华,曹以龙,龚幼民.基于载波相移角度的级联型多电平变频器输出性能的研究.中国电机工程学报,2007,27(1):63-66.
    [34]刘风君.逆变器用整流电源北京:机械工业出版社,2004.
    [35]李建林,林平,王长永,等.基于载波相移SPWM技术的电流型有源电力滤波器的研究.中国电机工程学报,2003,23(10):99-103.
    [36]Tolbert L M,Habetler T G.Novel multilevel inverter carrier-based PWM meth od. IEEE Trans.on Industry Applicadons,1999,35(5):1098-1106.
    [37]王毅,李和明,石新春,等.多电平PWM逆变电路谐波分析与输出滤波器设计.中国电机工程学报,2003,23(10):78-82.
    [38]Holmes D G,McGrath B P.Opportunities for harmonic cancellation with carrier-based PWM for a two-level and multilevel cascaded inverters.IEEE Trans.on Industry Applicadons,2001,37:564-582.
    [39]Keith C,Yakov F.A new cascaded multilevel H-bridge drive.IEEE Trans.on Power Electronics,2002,17(1):125-131.
    [40]吴保芳,孟庆云.错位采样SPWM逆变器多重化技术的研究.空军雷达学院学报,2005,19(2):40-43.
    [41]费万民,吕征宇,姚文熙.多电平逆变器特定谐波消除脉宽调制方法的仿真研究.中国电机工程学报,2004,24(1):102-106.
    [42]何卫东,王长永.相移正弦脉宽调制技术在电网有源滤波和无功补偿中的应用.电网技术,1999,23(6):6-8.
    [43]王鸿雁,陈阿莲.基于控制自由度组合的多电平逆变器载波PWM控制方法.中国电机工程学报,2004,24(1):131-135.
    [44]Lai Jih-sheng.Multilever Inverter:A Surver of Topologies,Controls,and Applica ti ons.IEEE Trans.on Ind.Elect.2002,49(4):724-738.
    [45]王立乔.正弦波逆变器PWM技术的调制模型分析.电力系统自动化,2008,32(17):45-49.
    [46]王立乔,王长永,黄玉水,等.基于相移SPWM技术的级联型多电平变流器.高电压技术,2002,28(7):17-18.
    [47]洪峰,刘军,严仰光.滞环电流控制型双buck逆变器.电工技术学报,2004,19(8):73-77.
    [48]陆海峰,谭瑞民,瞿文龙.减小死区影响的准单极性PWM调制方法.清华大学学报,2005,45(10):1297-1300.
    [49]朱思国,欧阳红林,朱英浩.级联型多电平逆变器准单极性控制策略.电气传动,2009,39(12):40-43.
    [50]王立乔,齐飞.级联型多电平变流器新型载波相移SPWM研究.中国电机工程学报,2010,30(3):28-33.
    [51]B.J.Kang,C.M.Liaw. Robust hysteresis current-controlled PWM scheme with fixed switching frequency.IEEE Transactions on Consumer Electronics,2001,148(6):503-511.
    [52]洪峰,单任仲,王慧贞,等.一种变环宽准恒频电流滞环控制方法.电工技术学报,2009,24(1):115-119.
    [53]Soren Poulsen,Andersen Michael A E.Hysteresis controller with constant switching frequency.IEEE Transactions on Consumer Electronics,2005,51(2):688-693.
    [54]Malesani L,Mattavelli P,Tomasin P.Improved Constant-frequency hysteresis curren t control of VSI inverters with simple feed-forward bandwidth predictio n IAS,1995,3(3):2633-2640.
    [55]MALESANI, L.TENTI, P.A novel hysteresis control method for current controlled voltage-source PWM inverters with constant modulation frequency.IEEE Trans.Ind Appl,1990,26(1):88-92.
    [56]李建林,王立乔,刘兆粲,等.一种新型的组合变流器错时采样空间矢量调制技术分析.中国电机工程学报,2004,24(1):142-146.
    [57]D. W. Kang et al.Improved carrier wave-based SVPWM method using phase voltage redundancies for generalized cascaded multilevel inverter topology, in Proc. IEEE APEC, New Orleans, LA, Feb.2000,542-548.
    [58]史吉吉,石新春.级联型逆变器的一种新型SVPWM方法.电工技术学报,2005,20(10):30-34.
    [59]H.W.Van Der Broeck,et.al.Analysis and Realization of a Pulsewidth Modulator Based on Voltage Space Vectors.IEEE Trans on IA,vol24,No.1,PP.142-150,1988.
    [60]A.M.Trzynadlowski,R.L.Kirlin,S.Legowski.Space vector PWM technique with minimum switching losses and a variable pulse rate.IEEE Trans.on Industrial Electronics,1997,44(20):173-181.
    [61]B. M. Song and J. S. Lai.A multilevel soft-switching inverter with inductor coupling. IEEE Trans. Ind. Applicat,2001,vol.37,628-636.
    [62]陈国呈.PWM变频调速及软开关电力变换技.北京:机械工业出版社,2001:57-80.
    [63]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.中国电机工程学报,2006,26(2):133-137.
    [64]安群涛,孙醒涛,赵克,等.容错三相四开关逆变器控制策略.中国电机工程学报,2010,30(3):14-20.
    [65]王立乔.错时采用空间矢量调制技术研究.浙江大学,博士论文,2002年11月.
    [66]王立乔.基于载波相移PWM技术的级联型变流器及其在有源电力滤波器中的应用.浙江大学,博士后论文,2005年3月.
    [67]Blasko V.A hybrid PWM strategy combining modified space vector and triangle comparison methods.IEEE PESC'96,Baveno,Italy,1996.
    [68]H. w. van der Broeck, H. Ch. Skudelny and G.Stanke.Analysis and Realization of a Pulse Width Modulator Based on Voltage Space Vectors.IEEE IAS Annual Meeting, Denver, USA,1986, pp.244-251.
    [69]J. S. Kim and S. K. SUI.A Novel Voltage Modulation Technique of the Space Vector PWM.IPEC-Yokohama'95,742-747.
    [70]H. W. van der Broeck.Analysis of The Harmonics in Voltage Fed Inverter Drives Caused by PWM Schemes with Discontinuous Switching Operation.EPE Annual Meeting, Firenze, Italy,1991,3261-3266.
    [71]王毅,石新春,李和明,等.级联型多电平逆变器的新型直接转矩控制方法.中国电机工程学报,2005,25(22):83-88.
    [72]L. Li, D. Czarkowski, Y. Liu, and P. Pillay.Multilevel space vector PWM tech ni que based on phase-shift harmonic suppression. in Proc.IEEE APEC, New Orl eans, LA, Feb.2000,535-541.
    [73]杨贵杰,孙力,崔乃政等.空间矢量脉宽调制方法的研究.中国电机工程学报,2001,21(5):79-83.
    [74]Farid Khoucha, Soumia Mouna Lagoun, Khoudir Marouani, etc.Hybrid Cascaded H-Bridge Multilevel-Inverter Induction-Motor-Drive Direct Torque Control for Automotive Applications. IEEE Transactions on Industry applications,2010, 57(3):892-898.
    [75]Rajesh Gupta, Arindam Ghosh, Avinash Joshi. Switching Characterization of Cascaded Multilevel-Inverter-Controlled Systems. IEEE Transactions on Industry applications,2008,55(3):1047-1057.
    [76]Sung-Jun Park, Feel-Soon Kang, Su Eog Cho, etc. A novel switching strategy for improving modularity and manufacturability of cascaded-transformer-based multilevel inverters J.Electric Power Systems Research,2005,74(2005):409-416.
    [77]Rajesh Gupta, Arindam Ghosh, Avinash Joshi. Multiband Hysteresis Modulation and Switching Characterization for Sliding-Mode-Controlled Cascaded Multileve 1 Inverter. IEEE Transactions on Industry applications,2010,57(7):2344-2352.
    [78]Chih-Chiang Hua, Chun-Wei Wu, Chih-Wei Chuang. A Digital Predictive Current Control With Improved Sampled Inductor Current for Cascaded Inverters. IEEE Transactions on Industry applications,2009,56(5):1718-1725.
    [79]孙建军,张振环,刘会金,陈允平.基于级联型逆变器的中压有源电力滤波器滞环电流矢量控制.中国电机工程学报,2005,25(23):86-90.
    [80]王竹溪.特殊函数概论.北京:北京大学出版社,2000:20-46.
    [81]杨叔子.现代数学手册:经典数学卷,华中科技大学出版社,2000:70-110.
    [82]T Boys,P.G.Handley.Harmonic analysis of space vector modulated PWM wave forms.Proc.IEE,Electric Power Applications,1990,37(4),197-203.
    [83]王立乔,胡长生,张仲超.错时采样空间矢量调制技术的频域数学分析.电力系统自动化,2004,28(2),26-31.
    [84]陈佰时.电力拖动自动控制系统.北京:机械工业出版社,2004:159-217.
    [85]冯垛生,曾岳南.无速度传感器矢量控制原理与实践.北京:机械工业出版社,2004:29-97.
    [86]Farid Khoucha, Soumia Mouna Lagoun, Khoudir Marouani, etc.Hybrid Cascaded H-Bridge Multilevel-Inverter Induction-Motor-Drive Direct Torque Control for Automotive Applications. IEEE Transactions on Industry applications,2010, 57(3):892-898.
    [87]Rodriguez, P. Correa, and L. Moran.A vector control technique for medium voltage multilevel inverters.2001,in Proc. IEEE APEC, Anaheim,CA,173-178.
    [88]奚国华,沈红平,喻寿益,桂正华.异步电机无速度传感器直接转矩控制系统.中国电机工程学报,2007,27(21):76-81.
    [89]宋平岗,官二勇.级联H桥逆变器空间矢量算法的简化实现.电工技术学报,2007,22(11):85-90.
    [90]Celanovic N,Boroyevich D.A fast space-vector modulation algorithmfor multilevel three-phase converters. IEEE Transactions on Industry Applications,2001,37(2):637-641.
    [91]姜旭,肖湘宁,赵洋等.改进的多电平SVPWM及其广义算法研究.中国电机工程学报,2009,29(12):90-95.
    [92]姜卫东,王群京,史晓峰等.基于矩阵变换的Ⅳ电平逆变器通用SVPWM算法.电工技术学报,2009,24(5):86-91.
    [93]唐雄民,龚理专,彭永进.一种快速的多电平空间矢量调制算法研究.高电压技术,2006,32(2):75-77.
    [94]Rajesh Gupta, Arindam Ghosh, Avinash Joshi. Switching characterization of cas caded multilevel-inverter-controlled systems. IEEE Transactions on Industry applications,2008,55(3):1047-1058.
    [95]薄保中,苏彦民,马学亮.多电平最优空间矢量PWM控制方法的研究.中国电机工程学报,2002,22(2):89-92.
    [96]马丰民,吴正国,张志强.基于小开关损耗的随机脉宽调制技术.电机与控制应用,2006,33(11):18-21.
    [97]王鸿雁,邓焰,赵荣祥等.飞跨电容多电平逆变器开关损耗最小PWM方法.中国电机工程学报,2004,24(8):51-55.
    [98]王群京,陈权,姜卫东等.一种降低三电平逆变器开关损耗的PWM方法
    [99]电气传动,2007,37(3):26-29.
    [100]杨振宇,赵剑锋,倪喜军等.应用相差错时采样空间矢量调制的级联型高压变频器共模电压抑制.中国电机工程学报,2008,28(15):32-38.
    [101]D. G. Holmes and B. P. McGrath.Opportunities for harmonic cancellation with ca rrier-based PWM for two-level and multilevel cascaded inverters. IEEE Trans. In d. Applicat,2001,vol.37,574-582.
    [102]Brendan Peter McGrath, Donald Grahame Holmes, Thierry Meynard. Reduced PWM harmonic distortion for multilevel inverters operating over a wide modu lation range. IEEE Transactions on Industry applications,2006,21(4):941-949.
    [103]姜艳姝,徐殿国,陈希有等.一种新颖的用于消除PWM逆变器输出共模电压的有源滤波器.中国电机工程学报.2002,22(10):125-129.
    [104]姜艳姝,刘宇,徐殿国等.PWM变频器输出共模电压及其抑制技术的研究.中国电机工程学报.2005,25(9):47-53.
    [105]姜艳姝,徐殿国,陈希有等.一种新颖的用于消除PWM逆变器输出共模电压的有源滤波器.中国电机工程学报.2002,22(10):125-129.
    [106]D.Rendusara et al.Analysis of Common Mode Voltage,Neutral Shitt in Medium Volatge PWM Adjustable Speed Drive(MV-ASD)System.IEEE Proceeding of PE SC'99,935-940.
    [107]Mariusz Malinowski, K. Gopakumar, Jose Rodriguez, etc. A Survey on Cascaded Multilevel Inverters. IEEE Transactions on Industry applications,2010,57(7):21 97-2204.
    [108]Marcelo A. Perez, Jose R. Espinoza, Jose R. Rodriguez,etc. Regenerative Medi u m-Voltage AC Drive Based on a Multicell Arrangement With Reduced Energy Storage Requirements. IEEE Transactions on Industry applications,2005,52 (1):171-180.
    [109]Pablo Lezana, Jose Rodriguez, Diego A. Oyarzun. Cascaded Multilevel Inverter With Regeneration Capability and Reduced Number of Switches. IEEE Transac tions on Industry applications,2008,55(3):1059-1066.
    [110]王久和,李华德,王立明.电压型PWM整流器直接功率控制系统.中国电机工程学报,2006,26(18):54-60.
    [111]王久和,李华德.一种新的电压型PWM整流器直接功率控制策略.中国电机工程学报,2005,25(16):47-52.
    [112]Toshihiko Noguchi,Himaki Tomiki,seiji Kondo,et al.Direct power control of PW M converter without power source voltage sensors.IEEE Trans on Industry Appli cations.1998,34(6):473-479.
    [113]Malinowski M,Blaabjerg F.Virtual.flux-based direct power control of three-phase PWM rectifiers//EEE Trans on Industry Applications,2001,4(37):1019-1027.
    [114]Silva Fernando.Sliding-mode control of boost-type unity-power-factor PWM rectify ers.IEEE Transactions on Industrial Electronics(S0278-0046),1999,46(3):594-603.
    [115]ROBICON.完美无谐波系列交流马达变频器用户手册.美国罗宾康公司上海办事处,1999.
    [116]ABB.Technical Catalog of ACS 1000 Medium Voltage AC Drives.ABB Industrie AG,2000.
    [117]GE.Innovation Series Medium Voltage-GP Type G Drives,Installation and Startu. p General Electric Company,1999.
    [118]韩安荣.通用变频器及其应用.北京:机械工业出版社,2000.
    [119]林渭勋.现代电力电子电路.杭州:浙江大学出版社,2002.
    [120]潘松,王国栋VHDL实用教程.成都:电子科技大学出版社,2000.
    [121]李建林,王立乔,李彩霞,等.基于现场可编程门阵列的多路PWM波形发生器.中国电机工程学报,2005,25(10):55-59.
    [122]李明峰,叶剑利,林平,等.基于FPGA无速度传感器直接转矩控制系统.电力电子技术,2003,37(2):32-34.
    [123]许强,贾正春.基于FPGA的三相PWM发生器.集成电路应用(1),2001:73-74.
    [124]刘和平,等TMS320LF240XDSP结构、原理及应用.北京:北京航空航天大学出版社,2002.
    [125]孙丽明TMS320F2812原理及其C语言程序开发.北京:清华大学出版社,2008.
    [126]谢青红,张筱荔TMS320F2812 DSP原理及其在运动控制系统中的应用.北京:电子工业出版社,2010.