无轴承开关磁阻全周期发电机控制策略的研究
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摘要
开关磁阻电机作为发电机运行的低成本、高可靠性的优点近来引起广泛的关注。无轴承开关磁阻发电机通过在开关磁阻发电机中应用无轴承技术,既保持了开关磁阻电机的优点,又具有无轴承电机的高速适应性。本文研究的无轴承开关磁阻全周期发电机,结合了无轴承技术和开关磁阻发电机的优良特性,是一种在励磁阶段也能发电的新型开关磁阻发电机。以其数学模型、系统平台设计、控制策略作为研究重点,本文主要做了以下几个方面的工作:
首先介绍普通开关磁阻发电机的工作原理,在此基础上分析了无轴承开关磁阻全周期发电机的悬浮原理和全周期发电机理,分析了全周期发电的性能指标和相关的影响因素,推导了数学模型。
介绍了无轴承开关磁阻全周期发电机数字控制系统的组成,在此基础上设计了无轴承开关磁阻全周期发电机系统实验平台,包括功率变换器、数字控制电路、模数转换器及采用TI公司的DSP F2812和Altera公司的CPLD EPM1270为核心的控制系统,并用C语言设计了相应的控制程序,为实现无轴承开关磁阻电机全周期发电运行提供了可靠的实验基础。
综合普通开关磁阻电机的三种运行方式,针对无轴承开关磁阻全周期发电机的强耦合性,提出了协调控制发电电压和悬浮力的平均励磁电流控制策略。利用MATLAB软件对控制策略搭建系统模型并验证其可行性。最后,在实验样机上进行了发电实验,实现了无轴承开关磁阻全周期发电机的发电运行。
As a generator, low cost and high reliability of switched reluctance motor (SRM) attracts worldwide attention in resent years. Bearingless Switched Reluctance Generators (BSRGs), which apply bearingless technology in switched reluctance generaor (SRG), not only maintain characteristic of SRM, but also possess high-speed performance of bearingless motor. The dissertation researches a Bearingless Switched Reluctance Motor (BSRM) in full-period generating mode, which can also be generated in excitation-period has combined the excellent characteristics of SRM and the bearingless technology. The dissertation focuses on mathematical models, designing platform of BSRM and control strategies, and mainly does the following work:
Firstly, On the basis of introducing the theory of SRM, the levitation and full-period generating principles and related indexes of BSRM are analyzed. A mathematical model is built.
Secondly, the composition of digital signal control system of BSRM is presented. Based on this, power converter, A/D converter, and the digital signal under the key chips of DSP F2812 and CPLD EPM1270 are designed. The control program with C language is compiled which offers the stable experiment conditions.
Summarizing three modes of SRM, a control strategy is proposed based on the co-ordination control of power voltage and radical forces. The performance of that strategy is investigated in Matlab/Simulink. At last, experiments are completed on the platform of BSRG, realizing the BSRG in full-period mode.
首先介绍普通开关磁阻发电机的工作原理,在此基础上分析了无轴承开关磁阻全周期发电机的悬浮原理和全周期发电机理,分析了全周期发电的性能指标和相关的影响因素,推导了数学模型。
介绍了无轴承开关磁阻全周期发电机数字控制系统的组成,在此基础上设计了无轴承开关磁阻全周期发电机系统实验平台,包括功率变换器、数字控制电路、模数转换器及采用TI公司的DSP F2812和Altera公司的CPLD EPM1270为核心的控制系统,并用C语言设计了相应的控制程序,为实现无轴承开关磁阻电机全周期发电运行提供了可靠的实验基础。
综合普通开关磁阻电机的三种运行方式,针对无轴承开关磁阻全周期发电机的强耦合性,提出了协调控制发电电压和悬浮力的平均励磁电流控制策略。利用MATLAB软件对控制策略搭建系统模型并验证其可行性。最后,在实验样机上进行了发电实验,实现了无轴承开关磁阻全周期发电机的发电运行。
As a generator, low cost and high reliability of switched reluctance motor (SRM) attracts worldwide attention in resent years. Bearingless Switched Reluctance Generators (BSRGs), which apply bearingless technology in switched reluctance generaor (SRG), not only maintain characteristic of SRM, but also possess high-speed performance of bearingless motor. The dissertation researches a Bearingless Switched Reluctance Motor (BSRM) in full-period generating mode, which can also be generated in excitation-period has combined the excellent characteristics of SRM and the bearingless technology. The dissertation focuses on mathematical models, designing platform of BSRM and control strategies, and mainly does the following work:
Firstly, On the basis of introducing the theory of SRM, the levitation and full-period generating principles and related indexes of BSRM are analyzed. A mathematical model is built.
Secondly, the composition of digital signal control system of BSRM is presented. Based on this, power converter, A/D converter, and the digital signal under the key chips of DSP F2812 and CPLD EPM1270 are designed. The control program with C language is compiled which offers the stable experiment conditions.
Summarizing three modes of SRM, a control strategy is proposed based on the co-ordination control of power voltage and radical forces. The performance of that strategy is investigated in Matlab/Simulink. At last, experiments are completed on the platform of BSRG, realizing the BSRG in full-period mode.
引文
[1] Bosch R, Development of a Bearingless Electric Motor, Proc. Int. Conf. Electric Machines (ICEM’88), Pisa, Italy, 1988:373~375.
[2] J. Bichsel, The Bearingless Electrical Machine, Proc. Int. Symp. Magn. Suspension. Technol. NASA Langley Res. Center, Hampton, 1991:561~573.
[3] T. Fukao, The Evolution of Motor Drive Technologies. Development of Bearingless Motors, Proceedings of the Third Power Electronics and Motion Control Conference(IPEMC 2000), Beijing, China, 2000:33~38.
[4] A. O. Salazar, A. Chiba, T. Fukao, A Review of Developments in Bearingless Motors, 7th Int. Symp. Magnetic Bearings, ETH Zurich, Switzerland, 2000:335~340.
[5] W. Amrhein, S. Silber, K. Nenninger, Developments on Bearingless Drive Technology, 8th Int. Symp. Magnetic Bearings, Japan, 2002:229~234.
[6] Bichsel J, The bearingless electrical machine. Proc. Int. Symp. Magn. Suspension Technol. NASA Langley Res. Center, Hampton. 1991:561~573.
[7] Schob.R, Fundamentals of the Bearingless Electric Motor and it’s Applications[OL] , http://www.levitronix.com.
[8]王凤翔,王宝国,徐隆亚.一种新型混合转子结构无轴承电动机磁悬浮力的矢量控制.中国电机工程学报,2005,25(5):98~103.
[9]孙海军,李润霞,郭庆鼎,等.参数在线辨识永磁无轴承电机无传感器控制.系统仿真学报,2009,21(13):4045~4049.
[10]周媛,贺益康,年珩.永磁型无轴承电机的完整系统建模.中国电机工程学报,2006,26(4):134~139.
[11]年珩,贺益康.永磁型无轴承电机无径向位移传感器运行研究.电工电能新技术,2006,25(4):15~18.
[12]黄进,康敏,杨家强.新型单绕组多相无轴承电机.浙江大学学报(工学版),2007,41(11):1850~1856.
[13]朱熀秋,王成波,张伟霞.基于电感矩阵的无轴承电机径向悬浮力模型.江苏大学学报(自然科学版),2009,30(1):51~57.
[14]朱熀秋,成秋良.基于磁链等效虚拟绕组电流分析方法的无轴承电机径向悬浮力控制.中国科学,2009,54(2):262~268.
[15]成秋良,朱熀秋.无轴承同步磁阻电步电机增磁调压转速控制策略.中国电机工程学报,2009,29(3):91~95.
[16]王晓琳,邓智泉,张宏荃,等.无轴承异步电机研究与实现,航空学报,2003,24(3):259~262.
[17]邓智泉等.无轴承异步电机悬浮子系统独立控制的研究.中国电机工程学报,2003,23(9):107~111.
[18]邓智泉,仇志坚,王晓琳,等.无轴承永磁同步电机的转子磁场定向控制研究.中国电机工程学报,2005,25(1):104~108.
[19]仇志坚,邓智泉,王晓琳,等.计及偏心及洛仑兹力的永磁型无轴承电机建模与控制研究,中国电机工程学报,2007,27(9):64~70.
[20]孟令孔,邓智泉,王晓琳,等.无轴承永磁同步电机悬浮子系统LQG/LTR控制器设计,航空学报,2007,28(2):385~390.
[21]廖启新,邓智泉,王晓琳.无轴承薄片电机磁体形状优化设计及系统实现,中国电机工程学报,2007,27(12):28~32.
[22]詹琼华.开关磁阻电动机.武汉:华中理工大学出版社,1992.
[23]刘迪吉,张焕春,傅丰礼,等.开关磁阻调速电动机.北京:机械工业出版社,1994.
[24]王宏华.开关磁阻电动机调速控制技术.北京:机械工业出版社,1995.
[25]吴建华.开关磁阻电机设计与应用.北京:机械工业出版社,2000.
[26]童怀.磁阻电机动态特性的非线性分析与计算机仿真.北京:科学出版社,2000.
[27] Miller T J E, Switched Reluctance Motors and Their Control, UK: Magna Physics Publishing and Clarendon Press. Oxford, 1993.
[28] Miller T J E, Electronic Control of Switched Reluctance Machines, UK: Reed educational and professional publishing Ltd, 2001.
[29] S. R. MacMinn, W. D. Jones, A Very High Speed Switched Reluctance Starter/Generator for Aircraft Engine Application, Proceedings of the IEEE 1989 National Aerospace and Electronics Conference, 1989:1758~1764.
[30] S. R. MacMinn, J. W. Somber, Control of a Switched Reluctance Aircraft Engine Starter- generator Over a Very Wide Speed Range, Proceedings of IECEC'89, 1989:631~638.
[31] C. A. Ferreira, S. R. Jones, William S. Heglund et al, Detailed Design of A 30-kW Switched Reluctance Starter Generator System for A Gas Turbine Engine Application, IEEE Trans. on Ind. Applicat. , 1995, 31(3):553~561.
[32] A. Radum, Richter, E. , A Detail Power Inverter Design for a 250KW Switched Reluctance Aircraft Engine Starter/Generator, SAE, Aerospace Atlantic Conference and Exposition, Apr.1993:20~23．
[33] D. E. Cameron, J. H. Lang, The Control of High-Speed Variable Reluctance Generator inElectric Power Systems, IEEE Trans. on Ind. Applicat. , 1993, 29(6):1106~1109．
[34] Arthue V.Radum, Caio A. Ferreira, Eike Richter, Two Channel Switched ReluctanceStarter/generator Results, IEEE Trans. on Ind. Applicat, 1998, 34(5):1026~1034．
[35]胡育文.航空电源系统的新发展,第五届电力电子与运动控制学术年会,南京,南京航空航天大学,2004:8~9．
[36]梁得亮,丁文,程竹平.基于Simplorer的三相开关磁阻起动/发电系统建模研究.西安交通大学学报,2007,41(10):1210~1214．
[37]赵德安,郑棐,全力,等．车用开关磁阻电机起动发电助力一体化系统研究.南京航空航天大学学报,2008,40(6):825~830．
[38]刘卫国,宋受俊,Uwe Schafer．无位置传感器开关磁阻电机初始位置检测方法．中国电机工程学报, 2009,29(24):91~97．
[39]周强,严加根,刘闯,等.航空开关磁阻发电机双通道容错性能研究.航空学报,2007,28(5):1146~1152．
[40]唐小洁,邓智泉,曹鑫,等.开关磁阻起动/发电机数字控制系统设计.防爆电机,2009,2(44):11~14．
[41] A. Chiba , K. Chida , T. Fukao,Principles and Characteristics of a Reluctance Motor withWindings of Magnetic Bearing, Proc. PECTokyo, 1990: 919~926．
[42] M. Takemoto, A. Chiba, T. Fukao, A Feed-forward Compensator for Vibration ReductionConsidering Magnetic Attraction Force in Bearingless Switched Reluctance Motors, SeventhInternational Symposium on Magnetic Bearings, ETH Zurich, 2000: 395~400．
[43] M. Takemoto, K. Shimada, A. Chiba, et al. , A Design and Characteristics of SwitchedReluctance Type Bearingless Motors, 4th International Symposium on Magnetic SuspensionTechnology, NASA/CP-1998-207654, May 1998:49~63．
[44] M. Takemoto, A.Chiba, T. Fukao, A New Control Method of Bearingless Switched ReluctanceMotors Using Square-wave Currents, Proceedings of the 2000 IEEE Power Engineering SocietyWinter Meeting, Singapore, CD-ROM , Jan. 2000:375~380．
[45] M. Takemoto, A. Chiba, T. Fukao, A Method of Determining Advanced Angle of Square-waveCurrents in a Bearingless Switched Motor, IEEE Trans. Ind. Applicat. , Nov./Dec. 2001, 37(6):1702~1709．
[46] M. Takemoto, H. Suzuki, A. Chiba, et al. , Improved Analysis of a Bearingless SwitchedReluctance Motor, IEEE Trans. Ind. Applicat. , Jan./Feb. 2001,37(1):26~34．
[47] M. Takemoto, A.Chiba, H.Suzuki, t al. , Radial Force and Torque of a Bearingless SwitchedReluctance Motor Operating in a Region of Magnetic Saturation. IEEE Trans. on IndustryApplication, Jan./Feb. 2004, 40(1):103~112．
[48] Akria Chiba, Tadashi Fukao, Chikara Michioka, Switched Reluctance Rotator, PatentUSA,US005880549A , Mar.9 , 1999．
[49]孙玉坤,吴建兵,项倩雯.基于有限元法的磁悬浮开关磁阻电机数学模型.中国电机工程学报,2007,27(12):33~40．
[50]孙玉坤,刘羡飞,王德明,等.基于有限元分析的磁悬浮开关磁阻电机数学模型的全角度拓展.电工技术学报,2007,22(9):34~39．
[51]李雪林,孙玉坤.磁悬浮开关磁阻电机模糊补偿逆系统解耦控制.电机与控制应用,2009:36(5):16~20．
[52]刘国海,孙玉坤,张浩,等.基于神经网络逆系统的磁悬浮开关磁阻电动机的解耦控制.电工技术学报,2005,20(9):39~43．
[53]王喜莲,葛宝明.磁浮开关磁阻电机径向悬浮逆系统方法控制.电机与控制学报,2009,13(3):356~360．
[54]王喜莲,葛宝明,赵楠.磁浮开关磁阻电机悬浮力的反馈线性化PID控制.中国电机工程学报,2009,29(15):114~118．
[55]刘羡飞,孙玉坤,王德明,等.磁悬浮开关磁阻电机径向位置解耦及仿真研究.系统仿真学,2007,19(7):1527~1530．
[56]王秋蓉,葛宝明.无轴承开关磁阻电机磁场及力特性的分析.电机与控制学报,2007,11(3):217~220．
[57]杨钢,邓智泉,曹鑫,等.适用于无轴承开关磁阻电机的功率变换器设计.航空学报,2008,29(1):110~116．
[58]杨钢,邓智泉,曹鑫,等.基于三相半桥功率变换器的无轴承开关磁阻电机绕组结构分析.中国电机工程学报,2008,28(27):95~103．
[59]范冬,邓智泉,杨钢,等.基于CPLD的无轴承开关磁阻电机控制逻辑设计.电力电子技术,2007,41(3):36~38．
[60]邓智泉,杨钢,张媛,等.一种新型的无轴承开关磁阻电机数学模型.中国电机工程学报,2005,25(9):139~146．
[61]曹鑫,邓智泉,杨钢,等.新型无轴承开关磁阻电机双相导通.电工技术学报,2006,21(4):50~56．
[62]曹鑫,邓智泉,杨钢,等.无轴承开关磁阻电机麦克斯韦应力法数学模型.中国电机工程学报,2009,29(3):78~83．
[63]杨艳,邓智泉,曹鑫,等.无轴承开关磁阻电机径向电磁力模型.电机与控制学报,2009,13(3):377~383．
[64]刘泽远,王世山,邓智泉.稳定悬浮状态下无轴承开关磁阻电机电感特性.南京航空航天大学学报,2009,41(2):165~170．
[65]刘泽远,王世山,邓智泉.三维有限元法求解无轴承开关磁阻电机电感.电机与控制学报,2009,13(5):708~714．
[66]杨钢,邓智泉,曹鑫.无轴承开关磁阻电机平均悬浮力控制策略.航空学报,2009,30(3):505~511．
[67]曹鑫,邓智泉,杨钢,等.一种无轴承开关磁阻电机独立控制策略.中国电机工程学报,2008,28(24):94~100．
[68]曹鑫.无轴承开关磁阻发电系统的基础研究,硕士学位论文,南京:南京航空航天大学,2006．
[69]徐彦,徐建国,赵嵩.开关磁阻发电机的原理与控制策略研究.电机与控制应用,2006,33(11):10~13．
[70]丁道宏.电力电子技术.北京:航空工业出版社,1999:227~239．
[71]陈坚.电力电子变换和控制技术.北京:高等教育出版社,2003:259~270．
[72]林渭勋.现代电力电子电路.杭州:浙江大学出版社,2002:316~385．
[73]李宏,张翌.高性能大功率MOSFET和IGBT驱动IC：IR2110及应用,集成电路应用,1991,(6):1~6．
[74]朱学忠等.开关磁阻电机发电运行的角度位置控制.南京航空航天大学学报,2001,33(1):23~27．
[75]刘和平,严利平,张学锋,等．TMS320LF240X-DSP结构、原理及应用.北京:北京航空航天大学出版社,2002．
[76]张卫宁编译,TMS320C28x系列DSP的CPU与外设.北京:清华大学出版社,2005．
[2] J. Bichsel, The Bearingless Electrical Machine, Proc. Int. Symp. Magn. Suspension. Technol. NASA Langley Res. Center, Hampton, 1991:561~573.
[3] T. Fukao, The Evolution of Motor Drive Technologies. Development of Bearingless Motors, Proceedings of the Third Power Electronics and Motion Control Conference(IPEMC 2000), Beijing, China, 2000:33~38.
[4] A. O. Salazar, A. Chiba, T. Fukao, A Review of Developments in Bearingless Motors, 7th Int. Symp. Magnetic Bearings, ETH Zurich, Switzerland, 2000:335~340.
[5] W. Amrhein, S. Silber, K. Nenninger, Developments on Bearingless Drive Technology, 8th Int. Symp. Magnetic Bearings, Japan, 2002:229~234.
[6] Bichsel J, The bearingless electrical machine. Proc. Int. Symp. Magn. Suspension Technol. NASA Langley Res. Center, Hampton. 1991:561~573.
[7] Schob.R, Fundamentals of the Bearingless Electric Motor and it’s Applications[OL] , http://www.levitronix.com.
[8]王凤翔,王宝国,徐隆亚.一种新型混合转子结构无轴承电动机磁悬浮力的矢量控制.中国电机工程学报,2005,25(5):98~103.
[9]孙海军,李润霞,郭庆鼎,等.参数在线辨识永磁无轴承电机无传感器控制.系统仿真学报,2009,21(13):4045~4049.
[10]周媛,贺益康,年珩.永磁型无轴承电机的完整系统建模.中国电机工程学报,2006,26(4):134~139.
[11]年珩,贺益康.永磁型无轴承电机无径向位移传感器运行研究.电工电能新技术,2006,25(4):15~18.
[12]黄进,康敏,杨家强.新型单绕组多相无轴承电机.浙江大学学报(工学版),2007,41(11):1850~1856.
[13]朱熀秋,王成波,张伟霞.基于电感矩阵的无轴承电机径向悬浮力模型.江苏大学学报(自然科学版),2009,30(1):51~57.
[14]朱熀秋,成秋良.基于磁链等效虚拟绕组电流分析方法的无轴承电机径向悬浮力控制.中国科学,2009,54(2):262~268.
[15]成秋良,朱熀秋.无轴承同步磁阻电步电机增磁调压转速控制策略.中国电机工程学报,2009,29(3):91~95.
[16]王晓琳,邓智泉,张宏荃,等.无轴承异步电机研究与实现,航空学报,2003,24(3):259~262.
[17]邓智泉等.无轴承异步电机悬浮子系统独立控制的研究.中国电机工程学报,2003,23(9):107~111.
[18]邓智泉,仇志坚,王晓琳,等.无轴承永磁同步电机的转子磁场定向控制研究.中国电机工程学报,2005,25(1):104~108.
[19]仇志坚,邓智泉,王晓琳,等.计及偏心及洛仑兹力的永磁型无轴承电机建模与控制研究,中国电机工程学报,2007,27(9):64~70.
[20]孟令孔,邓智泉,王晓琳,等.无轴承永磁同步电机悬浮子系统LQG/LTR控制器设计,航空学报,2007,28(2):385~390.
[21]廖启新,邓智泉,王晓琳.无轴承薄片电机磁体形状优化设计及系统实现,中国电机工程学报,2007,27(12):28~32.
[22]詹琼华.开关磁阻电动机.武汉:华中理工大学出版社,1992.
[23]刘迪吉,张焕春,傅丰礼,等.开关磁阻调速电动机.北京:机械工业出版社,1994.
[24]王宏华.开关磁阻电动机调速控制技术.北京:机械工业出版社,1995.
[25]吴建华.开关磁阻电机设计与应用.北京:机械工业出版社,2000.
[26]童怀.磁阻电机动态特性的非线性分析与计算机仿真.北京:科学出版社,2000.
[27] Miller T J E, Switched Reluctance Motors and Their Control, UK: Magna Physics Publishing and Clarendon Press. Oxford, 1993.
[28] Miller T J E, Electronic Control of Switched Reluctance Machines, UK: Reed educational and professional publishing Ltd, 2001.
[29] S. R. MacMinn, W. D. Jones, A Very High Speed Switched Reluctance Starter/Generator for Aircraft Engine Application, Proceedings of the IEEE 1989 National Aerospace and Electronics Conference, 1989:1758~1764.
[30] S. R. MacMinn, J. W. Somber, Control of a Switched Reluctance Aircraft Engine Starter- generator Over a Very Wide Speed Range, Proceedings of IECEC'89, 1989:631~638.
[31] C. A. Ferreira, S. R. Jones, William S. Heglund et al, Detailed Design of A 30-kW Switched Reluctance Starter Generator System for A Gas Turbine Engine Application, IEEE Trans. on Ind. Applicat. , 1995, 31(3):553~561.
[32] A. Radum, Richter, E. , A Detail Power Inverter Design for a 250KW Switched Reluctance Aircraft Engine Starter/Generator, SAE, Aerospace Atlantic Conference and Exposition, Apr.1993:20~23．
[33] D. E. Cameron, J. H. Lang, The Control of High-Speed Variable Reluctance Generator inElectric Power Systems, IEEE Trans. on Ind. Applicat. , 1993, 29(6):1106~1109．
[34] Arthue V.Radum, Caio A. Ferreira, Eike Richter, Two Channel Switched ReluctanceStarter/generator Results, IEEE Trans. on Ind. Applicat, 1998, 34(5):1026~1034．
[35]胡育文.航空电源系统的新发展,第五届电力电子与运动控制学术年会,南京,南京航空航天大学,2004:8~9．
[36]梁得亮,丁文,程竹平.基于Simplorer的三相开关磁阻起动/发电系统建模研究.西安交通大学学报,2007,41(10):1210~1214．
[37]赵德安,郑棐,全力,等．车用开关磁阻电机起动发电助力一体化系统研究.南京航空航天大学学报,2008,40(6):825~830．
[38]刘卫国,宋受俊,Uwe Schafer．无位置传感器开关磁阻电机初始位置检测方法．中国电机工程学报, 2009,29(24):91~97．
[39]周强,严加根,刘闯,等.航空开关磁阻发电机双通道容错性能研究.航空学报,2007,28(5):1146~1152．
[40]唐小洁,邓智泉,曹鑫,等.开关磁阻起动/发电机数字控制系统设计.防爆电机,2009,2(44):11~14．
[41] A. Chiba , K. Chida , T. Fukao,Principles and Characteristics of a Reluctance Motor withWindings of Magnetic Bearing, Proc. PECTokyo, 1990: 919~926．
[42] M. Takemoto, A. Chiba, T. Fukao, A Feed-forward Compensator for Vibration ReductionConsidering Magnetic Attraction Force in Bearingless Switched Reluctance Motors, SeventhInternational Symposium on Magnetic Bearings, ETH Zurich, 2000: 395~400．
[43] M. Takemoto, K. Shimada, A. Chiba, et al. , A Design and Characteristics of SwitchedReluctance Type Bearingless Motors, 4th International Symposium on Magnetic SuspensionTechnology, NASA/CP-1998-207654, May 1998:49~63．
[44] M. Takemoto, A.Chiba, T. Fukao, A New Control Method of Bearingless Switched ReluctanceMotors Using Square-wave Currents, Proceedings of the 2000 IEEE Power Engineering SocietyWinter Meeting, Singapore, CD-ROM , Jan. 2000:375~380．
[45] M. Takemoto, A. Chiba, T. Fukao, A Method of Determining Advanced Angle of Square-waveCurrents in a Bearingless Switched Motor, IEEE Trans. Ind. Applicat. , Nov./Dec. 2001, 37(6):1702~1709．
[46] M. Takemoto, H. Suzuki, A. Chiba, et al. , Improved Analysis of a Bearingless SwitchedReluctance Motor, IEEE Trans. Ind. Applicat. , Jan./Feb. 2001,37(1):26~34．
[47] M. Takemoto, A.Chiba, H.Suzuki, t al. , Radial Force and Torque of a Bearingless SwitchedReluctance Motor Operating in a Region of Magnetic Saturation. IEEE Trans. on IndustryApplication, Jan./Feb. 2004, 40(1):103~112．
[48] Akria Chiba, Tadashi Fukao, Chikara Michioka, Switched Reluctance Rotator, PatentUSA,US005880549A , Mar.9 , 1999．
[49]孙玉坤,吴建兵,项倩雯.基于有限元法的磁悬浮开关磁阻电机数学模型.中国电机工程学报,2007,27(12):33~40．
[50]孙玉坤,刘羡飞,王德明,等.基于有限元分析的磁悬浮开关磁阻电机数学模型的全角度拓展.电工技术学报,2007,22(9):34~39．
[51]李雪林,孙玉坤.磁悬浮开关磁阻电机模糊补偿逆系统解耦控制.电机与控制应用,2009:36(5):16~20．
[52]刘国海,孙玉坤,张浩,等.基于神经网络逆系统的磁悬浮开关磁阻电动机的解耦控制.电工技术学报,2005,20(9):39~43．
[53]王喜莲,葛宝明.磁浮开关磁阻电机径向悬浮逆系统方法控制.电机与控制学报,2009,13(3):356~360．
[54]王喜莲,葛宝明,赵楠.磁浮开关磁阻电机悬浮力的反馈线性化PID控制.中国电机工程学报,2009,29(15):114~118．
[55]刘羡飞,孙玉坤,王德明,等.磁悬浮开关磁阻电机径向位置解耦及仿真研究.系统仿真学,2007,19(7):1527~1530．
[56]王秋蓉,葛宝明.无轴承开关磁阻电机磁场及力特性的分析.电机与控制学报,2007,11(3):217~220．
[57]杨钢,邓智泉,曹鑫,等.适用于无轴承开关磁阻电机的功率变换器设计.航空学报,2008,29(1):110~116．
[58]杨钢,邓智泉,曹鑫,等.基于三相半桥功率变换器的无轴承开关磁阻电机绕组结构分析.中国电机工程学报,2008,28(27):95~103．
[59]范冬,邓智泉,杨钢,等.基于CPLD的无轴承开关磁阻电机控制逻辑设计.电力电子技术,2007,41(3):36~38．
[60]邓智泉,杨钢,张媛,等.一种新型的无轴承开关磁阻电机数学模型.中国电机工程学报,2005,25(9):139~146．
[61]曹鑫,邓智泉,杨钢,等.新型无轴承开关磁阻电机双相导通.电工技术学报,2006,21(4):50~56．
[62]曹鑫,邓智泉,杨钢,等.无轴承开关磁阻电机麦克斯韦应力法数学模型.中国电机工程学报,2009,29(3):78~83．
[63]杨艳,邓智泉,曹鑫,等.无轴承开关磁阻电机径向电磁力模型.电机与控制学报,2009,13(3):377~383．
[64]刘泽远,王世山,邓智泉.稳定悬浮状态下无轴承开关磁阻电机电感特性.南京航空航天大学学报,2009,41(2):165~170．
[65]刘泽远,王世山,邓智泉.三维有限元法求解无轴承开关磁阻电机电感.电机与控制学报,2009,13(5):708~714．
[66]杨钢,邓智泉,曹鑫.无轴承开关磁阻电机平均悬浮力控制策略.航空学报,2009,30(3):505~511．
[67]曹鑫,邓智泉,杨钢,等.一种无轴承开关磁阻电机独立控制策略.中国电机工程学报,2008,28(24):94~100．
[68]曹鑫.无轴承开关磁阻发电系统的基础研究,硕士学位论文,南京:南京航空航天大学,2006．
[69]徐彦,徐建国,赵嵩.开关磁阻发电机的原理与控制策略研究.电机与控制应用,2006,33(11):10~13．
[70]丁道宏.电力电子技术.北京:航空工业出版社,1999:227~239．
[71]陈坚.电力电子变换和控制技术.北京:高等教育出版社,2003:259~270．
[72]林渭勋.现代电力电子电路.杭州:浙江大学出版社,2002:316~385．
[73]李宏,张翌.高性能大功率MOSFET和IGBT驱动IC：IR2110及应用,集成电路应用,1991,(6):1~6．
[74]朱学忠等.开关磁阻电机发电运行的角度位置控制.南京航空航天大学学报,2001,33(1):23~27．
[75]刘和平,严利平,张学锋,等．TMS320LF240X-DSP结构、原理及应用.北京:北京航空航天大学出版社,2002．
[76]张卫宁编译,TMS320C28x系列DSP的CPU与外设.北京:清华大学出版社,2005．