开关磁阻电动机小样本磁链特性精确建模方法 *

doi:10.11985/2021.01.003

摘要/Abstract

摘要：

采用转矩平衡位置测量方法能够在无锁紧装置的情形下快速获取m相开关磁阻电动机(Switched reluctance motor,SRM) m+1个特殊位置的小样本磁链特性。针对小样本磁链特性数据不充分导致SRM难以精确建模的问题,提出一种基于模糊逻辑系统的SRM精确建模方法。该方法主要分为三步,首先根据SRM极对数与磁链随转子位置变化趋势等电动机固有先验知识,进行模糊空间划分;其次利用模糊逻辑系统从磁链样本数据中自动提取模糊规则,形成模糊规则库;最后采用重心法解模糊,重构SRM全周期磁链特性,完成小样本磁链特性下的SRM精确建模。不同于传统建模方法需要测量整个位置周期磁链特性数据,所提出方法仅需要m+1个特殊位置磁链特性即可实现SRM磁链精确建模,极大地提高了建模效率。仿真和试验结果验证了所提出方法的有效性。

关键词: 开关磁阻电动机, 磁链特性, 转矩平衡位置, 模糊逻辑系统, 规则提取

Abstract:

The small sample flux-linkage characteristics of m+1 special positions of m-phase switched reluctance motor (SRM) can be obtained quickly by using the torque-balanced method without locking device. To solve the problem of accurate modeling of SRM based on small sample flux-linkage characteristics, a novel modeling method for SRM based on fuzzy logic system is proposed. The proposed method mainly consists of three steps. Firstly, according to the inherent prior knowledge of SRM pole pairs and flux-linkage changing trend with rotor position, the fuzzy space is divided. Secondly, the fuzzy rules are automatically extracted from the sample data by using fuzzy logic system to form a fuzzy rule base. Finally, the center of gravity method is used to solve the flux-linkage value, the accurate modeling of SRM with small sample data is realized. Different from the conventional modeling method, which needs to measure the flux-linkage characteristics data of the whole position period, the proposed method only needs the flux-linkage characteristics of m+1 special position to realize the accurate modeling of SRM, which greatly improves the modeling efficiency. The simulation and experimental results verify the effectiveness of the proposed method.

Key words: Switched reluctance motor, flux-linkage characteristics, torque-balanced positions, fuzzy logic system, rule extraction

中图分类号:

TM561

李存贺, 赵博, 刘剑, 鲁炳林. 开关磁阻电动机小样本磁链特性精确建模方法 ^*[J]. 电气工程学报, 2021, 16(1): 16-25.

LI Cunhe, ZHAO Bo, LIU Jian, LU Binglin. Accurate Modeling Method for Switched Reluctance Motors with Small Sample Flux-linkage Characteristics[J]. Journal of Electrical Engineering, 2021, 16(1): 16-25.

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参考文献 27

[1]	BOSTANCI E, MOALLEM M, PARSAPOUR A, et al. Opportunities and challenges of switched reluctance motor drives for electric propulsion:A comparative study[J]. IEEE Transactions on Transportation Electrification, 2017,3(1):58-75.
[2]	韩锐, 唐友义, 徐熊明, 等. 电动汽车用异步电动机电磁噪声分析与仿真[J]. 电气工程学报, 2019,14(3):74-80.
	HAN Rui, TANG Youyi, XU Xiongming, et al. Analysis and simulation of electromagnetic noise of induction motors for electric vehicles[J]. Journal of Electrical Engineering, 2019,14(3):74-80.
[3]	朱曰莹, 赵桂范, 杨娜. 电动汽车用开关磁阻电机驱动系统设计及优化[J]. 电工技术学报, 2014,29(11):88-98.
	ZHU Yueying, ZHAO Guifan, YANG Na. Design and optimization for switched reluctance motor drive system in electric vehicles[J]. Transactions of China Electrotechnical Society, 2014,29(11):88-98.
[4]	SOZER Y, HUSAIN I, TORREY D A. Guidance in selecting advanced control techniques for switched reluctance machine drives in emerging applications[J]. IEEE Transactions on Industry Applications, 2015,51(6):4505-4514.
[5]	吴红星, 孙青杰, 黄玉平, 等. 开关磁阻电机非线性建模方法综述[J]. 微电机, 2014,47(5):83-92.
	WU Hongxing, SUN Qingjie, HUANG Yuping, et al. Review of method for switched reluctance motor nonlinear modeling[J]. Micromotors, 2014,47(5):83-92.
[6]	SPONG M I, MARINO R, PERESADA S, et al. Feedback linearizing control of switched reluctance motors[J]. IEEE Transactions on Automation Control, 1987,32(5):371-379.
[7]	TORREY D A, LANG J H. Modelling a nonlinear variable reluctance motor drive[J]. IEE Proceedings- Electric Power Applications, 1990,137(5):314-326.
[8]	MILLER T J E, MCGILP M. Nonlinear theory of the switched reluctance motor for rapid computer-aided design[J]. IEE Proceedings-Electric Power Applications, 1990,137(6):337-347.
[9]	CHI H P, LIN L, CHEN J F. Simplified flux-linkage model for switched reluctance motors[J]. IEE Proceedings-Electric Power Applications, 2005,152(6):1468-1476.
[10]	SONG S J, ZHANG M, GE L F. A new decoupled analytical modeling method for switched reluctance machine[J]. IEEE Transactions on Magnetics, 2015,51(3):1-4.
[11]	MIHIC D S, TERZIC M V, VUKOSAVIS S N. A new nonlinear analytical model of the SRM with included multiphase coupling[J]. IEEE Transactions on Energy Conversion, 2017,32(4):1322-1334.
[12]	ELMAS C, SAGIROGLU S, COLAK I, et al. Modelling of a nonlinear switched reluctance drive based on artificial neural networks[C]// Fifth International Conference on Power Electronics and Variable-Speed Drives, 1994,October:7-12.
[13]	蔡燕, 许镇琳, 高超. 基于神经网络非线性模型的开关磁阻电机调速系统动态仿真[J]. 电工技术学报, 2006,21(8):25-30.
	CAI Yan, XU Zhenlin, GAO Chao. Simulation of SRD based on neural net nonlinear model[J]. Transactions of China Electrotechnical Society, 2006,21(8):25-30.
[14]	薛梅, 夏长亮, 王慧敏, 等. 基于DSP的开关磁阻电机磁链特性检测与神经网络建模[J]. 电工技术学报, 2011,26(2):68-73.
	XUE Mei, XIA Changliang, WANG Huimin, et al. Flux linkage characteristic measurement based on DSP and artificial neural network modeling for switched reluctance motor[J]. Transactions of China Electrotechnical Society, 2011,26(2):68-73.
[15]	修杰, 夏长亮, 王世宇. 开关磁阻电机的Pi-sigma模糊神经网络建模[J]. 电工技术学报, 2009,42(8):46-51.
	XIU Jie, XIA Changliang, WANG Shiyu. Modeling of switched reluctance motor based on Pi-Sigma fuzzy neural network[J]. Transactions of China Electrotechnical Society, 2009,42(8):46-51.
[16]	梁得亮, 丁文, 鱼振民. 基于自适应网络模糊推理系统的开关磁阻电机建模方法[J]. 中国电机工程学报, 2008,28(9):86-92.
	LIANG Deliang, DING Wen, YU Zhenmin. Modeling for switched reluctance motor based on adaptive network-based fuzzy inference system[J]. Proceedings of the CSEE, 2008,28(9):86-92.
[17]	SONG S J, GE L F, MA S J, et al. Accurate measurement and detailed evaluation of static electromagnetic characteristics of switched reluctance machines[J]. IEEE Transactions on Instrumentation and Measurement, 2015,64(3):704-714.
[18]	CHEOK A D, WANG Z F. DSP-based automated error-reducing flux-linkage measurement method for switched reluctance motors[J]. IEEE Transactions on Instrumentation and Measurement, 2007,56(6):2245-2253.
[19]	SHEN L, WU J H, YANG S Y, et al. Fast flux linkage measurement for switched reluctance motors excluding rotor clamping devices and rotor position sensors[J]. IEEE Transactions on Instrumentation and Measurement, 2013,62(1):185-191.
[20]	曾辉, 陈昊, 徐阳, 等. 基于新型磁链检测方案的开关磁阻电机非线性建模[J]. 电工技术学报, 2013,28(11):124-130.
	ZENG Hui, CHEN Hao, XU Yang, et al. Modeling of switched reluctance motor based on a novel flux linkage characteristic measurement method[J]. Transactions of China Electrotechnical Society, 2013,28(11):24-130.
[21]	SONG S J, ZHANG M, GE L F. A new fast method for obtaining flux-linkage characteristics of SRM[J]. IEEE Transactions on Industrial Electronics, 2015,62(7):4105-4117.
[22]	王宏华. 开关磁阻电动机调速控制技术[M]. 2版. 北京: 机械工业出版社, 2014.
	WANG Honghua. Speed control technology of switched reluctance motor[M]. 2nd ed. Beijing: China Machine Press, 2014.
[23]	CHEN B, LIU X P, GE S S, et al. Adaptive fuzzy control of a class of nonlinear systems by fuzzy approximation approach[J]. IEEE Transactions on Fuzzy Systems, 2012,20(6):1012-1021.
[24]	余同, 刘军, 孙维凡. 基于模糊理论的内置式永磁同步电机弱磁控制仿真研究[J]. 电气工程学报, 2019,14(1):1-8.
	YU Tong, LIU Jun, SUN Weifan. Weak magnetic control of permanent magnet synchronous motor based on fuzzy theory[J]. Journal of Electrical Engineering, 2019,14(1):1-8.
[25]	单亚运, 庞科旺, 刘旭宇. 基于模糊自适应分数阶PI^λ的伺服系统控制策略研究[J]. 电气工程学报, 2018,13(3):27-33.
	SHAN Yayun, PANG Kewang, LIU Xuyu. Research on servo control strategy based on fuzzy adaptive fractional PI ^λ[J]. Journal of Electrical Engineering, 2018,13(3):27-33.
[26]	王永富, 柴天佑. 从数据中挖掘模糊规则及其系统实现[J]. 系统工程学报, 2005,20(5):497-503.
	WANG Yongfu, CHAI Tianyou. Mining fuzzy rules from data and its system implementation[J]. Journal of Systems Engineering, 2005,20(5):497-503.
[27]	WANG L X, MENDEL J M. Generating fuzzy rules by learning from examples[J]. IEEE Transactions on Systems,Man,and Cybernetics, 1992,22(6):1414-1427.

	B₁	B₂	B₃	B₄
A₁	C₁	C₂	C₁	C₁
A₂	C₃	C₄	C₈	C₁₉
A₃	C₅	C₈	C₂₃	C₃₇
A₄	C₈	C₁₂	C₃₅	C₅₅
A₅	C₁₀	C₁₅	C₄₅	C₇₁
A₆	C₁₂	C₁₉	C₆₁	C₉₂
A₇	C₁₅	C₂₃	C₇₃	C₁₀₉
A₈	C₁₇	C₂₆	C₈₀	C₁₂₃
A₉	C₂₀	C₃₀	C₉₄	C₁₃₇
A₁₀	C₂₂	C₃₄	C₁₀₅	C₁₄₈
A₁₁	C₂₄	C₃₈	C₁₁₁	C₁₅₇
A₁₂	C₂₇	C₄₁	C₁₂₀	C₁₆₆
A₁₃	C₃₀	C₄₅	C₁₂₆	C₁₇₂
A₁₄	C₃₂	C₄₈	C₁₃₂	C₁₇₆
A₁₅	C₃₅	C₅₂	C₁₃₆	C₁₈₁
A₁₆	C₃₇	C₅₅	C₁₄₁	C₁₈₅
A₁₇	C₄₀	C₅₈	C₁₄₅	C₁₈₈
A₁₈	C₄₃	C₆₂	C₁₄₉	C₁₉₂
A₁₉	C₄₅	C₆₅	C₁₅₃	C₁₉₅
A₂₀	C₄₈	C₆₉	C₁₅₇	C₁₉₈
A₂₁	C₅₁	C₇₂	C₁₆₁	C₂₀₀

参数	数值
定/转子极对数	12/8
功率/kW	1.5
额定转矩/(N·m)	9.55
恒转矩调速范围/(r·min^-1)	100~1 500
定子电阻R/Ω	0.9
转动惯量/(kg·m²)	0.01
摩擦因数/[N·m/(rad/s)]	0.005