电网故障诊断的解析化建模与求解
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
电网故障的快速准确诊断对加快事故处理和系统恢复进程、保证电力系统的安全运行具有至关重要的作用。多年来,电网故障诊断问题一直是国内外研究的热点,至今尚未得到很好的解决,其主要困难之一就是考虑保护和断路器拒动、误动以及告警信息错误时故障诊断模型的建立与求解。本文研究电力系统故障诊断的解析化建模与求解问题,通过对保护和断路器动作规则进行总结,提炼出通用的故障诊断规则并对其进行解析化表达,构建了一种电网故障诊断的完全解析模型。完全解析模型由反映故障诊断规则的逻辑方程组来表示,方程组的变量包括可疑故障元件的状态、保护和断路器的动作状态以及其拒动、误动情况的逻辑量,方程组的每个解对应着一个逻辑上可行的故障模式。本文系统地研究了完全解析模型的建模和求解方法,以及基于此模型进行电网故障诊断的实用技术。论文的研究成果主要体现在以下几个方面:
     1、提出了一种用于电网故障诊断的完全解析模型。完全解析模型对诊断规则进行解析化表达,并完整地保留了可疑故障元件、保护动作和断路器跳闸之间固有的逻辑关系,有助于提高电网故障诊断方法的容错能力。
     2、对完全解析模型的化简和求解方法进行了深入研究。完全解析模型是由隐函数组成的逻辑方程组,求解这种方程组目前还没有通用的方法。本文通过对完全解析模型进行等价变换、关系解耦和自变量与因变量分离,从理论上推导出完全解析模型的化简型,然后结合对告警信号的解析,导出完全解析模型的完备解集。
     3、提出一种基于完全解析模型的电网故障诊断方法。电网故障诊断过程中存在许多不确定因素,导致完全解析模型解的多重性。通过对这些不确定因素及其分布规律的深入研究,构造了一个反映故障诊断决策风险的综合评价指标,进而把故障诊断问题转化成一个基于风险决策的整数规划问题,然后采用随机优化算法求解并得出故障诊断结论。
     4、提出一种基于IEC61850的电网故障诊断解析化建模方法。通过解析数字化变电站的系统配置文件,获取电网元件的保护配置信息与保护和断路器之间的关联关系,结合电网的拓扑信息,实现完全解析模型的在线构建。
     5、提出了一种电网故障告警信息的实时获取方法。通过建立与SCADA系统的数据连接,采用一种动态事件窗生成技术,实现对告警信息序列的有效捕获,结合保护与断路器的关联关系,从捕获的信息序列中提取出电网故障诊断信息。
Rapid diagnosis of fault elements plays a crucial role to speed up the process of fault treatment and system recovery when faults occur in a power system, for the secure operation of power systems. Fault diagnosis of power systems has been being an active research area at home and abroad for many years, but the fault diagnosis problem has not yet been resolved completely till now. The main cause is that fault diagnosis of power systems is difficult to be modeled accurately and be solved exactly considering errors of alarms as well as misoperation and failure operation of protective relays and circuit breakers. In this thesis, modeling and solving the fault diagnosis in a complete analytical form are investigated, and a complete analytical model for fault diagnosis is presented. The complete analytical model consists of a set of logical equations representing the diagnostic rules, of which the variables represent the states of faulty elements, actions and malfunctions of protective relays and circuit breakers. Each solution of the model represents a logically possible fault mode interpreting a complete scenario of fault diagnosis. The modeling, as well as simplifying and solving, of the complete analytical model is investigated systematically, and several technologies of fault diagnosis based on the complete analytical model are developed.
     The main work of this thesis is summarized as follows:
     1. A complete analytical model for fault diagnosis of power systems is proposed by complete representation of the diagnostic rules. The intrinsic logical relations between the states of faulty elements and actions of protective relays(&circuit breakers) are reserved, contributing to the improvement of the error-tolerance ability of the analytical model.
     2. Simplifying and solving of the complete analytical model is investigated systematically. The complete analytical model is a set of logical equations consisting of implicit functions, and no effective approaches to solve such logical equations are available by far. With the exploration of the characteristics of the complete analytical model, a simplified version of the model is derived theoretically using equivalent transformations, relation decoupling and separating the independent variables from the dependent ones. The complete solution set of the complete analytical model is obtained by deduction from analysis of the alarms received.
     3. A fault diagnosis method based on the complete analytical is proposed with various uncertainties in consideration. The complete analytical model has a multiplicity of solutions because of the uncertainties in the process of fault diagnosis. A composite index denoting the decision-making risk of fault diagnosis is built by considering distribution of the uncertainties. The fault diagnosis problem is then transformed into an integer programming problem of risk-based decision making, and the optimal solution of the complete analytical model can be obtained as the result of fault diagnosis by using a stochastic optimization algorithm.
     4. An approach to construct the complete analytical model is proposed according to the IEC61850standard. The configuration of protection and the logical relationships between the behaviors of protective relays and circuit breakers can be acquired by analyzing the SCD (Substation Configuration Description) file, and the complete analytical model is constructed on line by combining the topology of the power network with the configuration and relationships acquired above.
     5. An acquisition method of the real-time information for fault diagnosis is proposed by building an online interface to the SCADA system. A sequence of alarms including information for fault diagnosis is intercepted and captured using a technique so-called "generation of dynamic event window" presented by the thesis. From the captured alarms, the fault diagnosis information is then extracted according to the relevance among faulty elements, protection relay actions and circuit breaker trips.
引文
[1]胡学浩.美加联合电网大面积停电事故的反思与启示[J].电网技术,2003,27(9):2-6
    [2]陈向宜,陈允平,李春艳,等.构建大电网安全防御体系——欧洲大停电事故的分析与思考[J].电力系统自动化,2007,31(1):4-8
    [3]文福拴,邱家驹,韩祯祥.只利用断路器信息诊断电力系统故障的高级遗传算法.电工技术学报,1996,11(2):58-64
    [4]文福拴,钱源平,韩祯祥,等.利用保护和断路器信息的电力系统故障诊断与不可观测的保护的状态识别的模型与Tabu搜索方法[J].电工技术学报,1998,13(5):1-8
    [5]Wen F S, Chang C S.Possibilistic-Diagnosis Theory for Fault-Section Estimation and State Identification of Unobserved Protective Relays Using Tabu-Search Method[J]. IEE Proceedings-Generation and Distribution,1998,145(6):722-730
    [6]Ernesto Vazquez M, Oscar L, chacon M, et al. An On-Line Expert System for Fault Section Diagnosis in Power Systems[J]. IEEE Transactions on Power System,1997, 12(1):357-362
    [7]Young Moon Park, Gwang-Won Kim, Jin-Man Sohn. A Logic Based Expert System(LBES) for Fault Diagnosis of Power System[J]. IEEE Transactions on Power System,1997,12(1):363-369
    [8]Hong-Tzer Yang, Wen-Yeau Chang, Ching-Lien Huang. On-Line Fault Diagnosis of Power Substation Using Connectionist Expert System[J]. IEEE Transactions on Power System,1995,10(1):323-331
    [9]Juhwan Jung, Chen-Ching Liu, Mingguo Hong. Multiple Hypothesis and Their Credibility in On-Line Fault Diagnosis[J]. IEEE Transactions on Power Delivery, 2001,16(2):225-230
    [10]Jung J, Hong M G, LIU C C, et al. Logic and Validation Techniques for Handing of Missing Information in Fault Diagnosis[C]. In:ISAP'99. Rio de Janeiro(Brazil): 1999
    [11]Liu Chenching, Sforna M, Miao Hanjin. On-Line Fault Diagosis Using Sequence-of-Events Recorder Information[C]. In:Procedings of 1996 Internatinal Conference on Intelligent System Applications to Power System (ISAP'96). Orlando(USA):339-344
    [12]C Yang, H Okamoto, et al. Expert System for fault Section Estimation of Power System Using Time Sequence Information[C]. In:Proceedings of 3rd Symposium on Expert System Application to Power Systems.1991, Tokyo-Kobo, Japan: 587-594
    [13]康泰峰,吴文传,张伯明,等.基于时间溯因推理的电网诊断报警方法[J].中国电机工程学报,2010,30(19):84-90
    [14]文福栓,韩桢祥.计及报警信息时间特性的故障诊断模型[J].电力系统自动化,1999,23(17):6-9
    [15]T Minakawa, M Kunugi, K Shimada. Development and Implementation of A Power System Fault Diagnosis Expert System[J]. IEEE Transactions on Power System,1995,10(2):932-939
    [16]骆敬年.华东500kV电网故障录波器联网系统[J].华东电力,2000,1:4-6
    [17]王立新,郭登峰,张小川.微机保护和故障录波器联网系统[J].继电器,2000,28(4):46-49
    [18]孙晓凌,郑群.微机型故障录波器联网系统的设计与实现[J].电力系统通信,1999,4:23-25
    [19]E Cardozo, S N Talukdar. A Distributed Expert System for Fault Diagnosis[J]. IEEE Transactions on Power System,1988,3(2):641-646.
    [20]刘青松,夏道止.基于正反向推理的电力系统故障诊断专家系统[J].电网技术,1999,23(3):66-68
    [21]张学军,刘小冰,阎彩萍,等.基于正反向推理的电力系统故障诊断[J].电力系统自动化,1998,22(5):30-32
    [22]杜一,张沛超,郁惟镛.基于事例和规则混合推理的变电站故障诊断系统[J].电网技术,2004,28(1):34-37
    [23]Cho H J, Park J K. An Expert system for Fault Section Diagnosis of Power Systems Using Fuzzy Relations[J]. IEEE Transactions on Power System,1997, 12(1):342-348
    [24]Monsef H, Ranjbar A M, Jadid S. Fuzzy Rule-Based Expert System for Power System Fault Diagnosis[J]. IEE Proceedings-Generation, Transmission and Distribution,1997,144(2):186-192
    [25]韩祯祥,钱源平,文福拴.基于模糊外展推理和Tabu搜索方法的电力系统故障诊断[J].清华大学学报(自然科学版),1999,39(3):56-60
    [26]周明,任建文,李庚银,等.基于模糊推理的分布式电力系统故障诊断专家系统[J].电力系统自动化,2001,25(24):33-36
    [27]Hong-tzer Yang, Wen-Yeau Chang Ching-Lien Huang. A New Neural Networks Approach to On-Line Fault Section Estimation Using Information of Protective Relays and Circuit Breakers[J]. IEEE Transactions on Power Delivery,1994,9(1): 220-229
    [28]Cardoso G Jr, Rolim J G. Application of Neural-Network Modules to Electric Power System Fault Section Estimation[J]. IEEE Transactions on Power Delivery, 2004,19(3):1034-1041
    [29]丁晓群,孙军,袁宇波,等.基于BP网络的故障诊断方法的改进[J].电网技术,1998,22(11):62-63
    [30]Yan H T, Chang W Y, Huang C L. Power System Distributed On-Line Fault Section Estimation Using Decision Tree Based Neural Nets Approach[J]. IEEE Transactions on Power Delivery,1995,10(1):540-546
    [31]顾雪平,张文勤,高曙,等.基于神经网络和元件关联分析的电网故障诊断[J].华北电力大学学报,1999,26(2):12-17
    [32]廖志伟,叶青华,王钢,等.基于GRNN的多故障自适应电力系统故障诊断[J].华南理工大学学报(自然科学版),2005,33(9):6-9
    [33]毕天姝,倪以信,吴复立,等.基于新型神经网络的电网故障诊断方法[J].中国电机工程学报,2002,22(2):73-78
    [34]Tianshu Bi, Zheng Yan, Fushuan Wen, et al. On-Line Fault Section Estimation in Power System with Radial Basis Function Neural Network[J]. Electrical Power and Energy Systems,2002,24:321-328
    [35]Narendra K Q Sood V K, Khorasani K, et al. Application of A Radial Basis Function (RBF) Neural Network for Fault Diagnosis in A HVDC System[J]. IEEE Transactions on Power Systems,1998,13(1):177-183
    [36]毕天姝,倪以信,吴复立,等.基于径向基函数神经网络和模糊控制系统的电网故障诊断新方法[J].中国电机工程学报,2005,25(14):12-18
    [37]李孝全,庄德慧,张强.基于粗糙径向基神经网络的电网故障诊断新模型[J].电力系统保护与控制,2009,37(18):20-24
    [38]凌维业,贾民平,许飞云,等.粗糙集神经网络故障诊断系统的优化方法研究[J].中国电机工程学报,2003,23(5):98-102
    [39]符保龙,黄雪燕.基于粗糙集-RBF网络的故障诊断策略[J].钦州学院学报,2009,24(3):22-25
    [40]顾雪平,张文勤,高曙,等.人工神经网络和专家系统结合应用的电力系统故障诊断方法[J].华北电力学院学报,1994,2,12-17
    [41]顾雪平,盛四清,张文勤,等.电力系统故障诊断神经网络专家系统的一种实现方式[J].电力系统自动化,1995,19(9):26-29
    [42]张东英,钟华兵,杨以涵,等.基于BP神经网络和专家系统的变电站报警信息处理系统[J].电力系统自动化,2001,25(9):45-47
    [43]邓武,杨鑫华,赵慧敏,等.粗糙集、神经网络和专家系统模型用于电力系统故障诊断[J].高电压技术,2009,35(7):1624-1628
    [44]赵冬梅.基于多信息源的电网故障诊断方法的研究[D].北京:华北电力大学,2005
    [45]文福拴,韩祯祥.基于遗传算法和模拟退火算法的电力系统故障诊断[J].中国电机工程学报,1994,14(3):29-35
    [46]Fushuan Wen, Zhenxiang Han. Fault Section Estimation in Power Systems Using A Genetic Algorithm[J]. Electric Power Systems Reserch,1995,34:165-172
    [47]文福栓,韩桢祥,田磊,等.基于遗传算法的电力系统故障诊断的解析模型与方法(一)[J].电力系统及其自动化学报,1998,10(9):1-7
    [48]文福栓,韩桢祥,田磊,等.基于遗传算法的电力系统故障诊断的解析模型与方法(二)[J].电力系统及其自动化学报,1998,10(9):8-13
    [49]文福栓,韩桢祥,田磊,等.基于遗传算法的电力系统故障诊断的解析模型与方法(三)[J].电力系统及其自动化学报,1999,11(3):8-13
    [50]刘青山.电力系统故障诊断及故障恢复[M].北京:中国电力出版社,2007:89-100
    [51]郭文鑫,文福拴,廖志伟,等.计及保护和断路器误动与拒动的电力系统故障诊断解析模型[J].电力系统自动化,2009,33(24):6-10
    [52]Wenxin Guo, Fushuan Wen, Gerard Ledwich, Liao Zhiwei, et al. An Analytic Model for Fault Diagnosis in Power system Considering Malfunctions of Protective relays and Circuit Breakers Taken into Account[J]. IEEE Transactions on Power Delivery,2010,25(3):1393-1401
    [53]Wenxin Guo, Fushuan Wen, Liao Zhiwei, et al. An Analytic Model-Based Approach for Power System Alarm Processing Employing Temporal Constraint Network[J]. IEEE Transactions on Power Delivery,2010,25(4):2435-2447
    [54]李文清,刘前进,姜伟.改进Tabu优化算法在地区电网故障诊断中的应用[J].继电器,2008,36(1):67-72
    [55]文福拴,韩桢祥.基于覆盖集理论和Tabu搜索方法的电力系统警报处 理.电力系统自动化,1997,21(2):18-23
    [56]段振国,高曙,杨以涵.一种电网故障智能诊断求解模型的研究[J].中国电机工程学报,1997,17(6):399-402
    [57]袁文杰,曲朝阳,李月玲,等.基于Tabu—Roughset的电网故障诊断系统研究[J].电力系统保护与控制,2008,36(23):32-35
    [58]Xiangning Lin, Shuohao Ke, Zhengtian Li,et al. A Fault Diagnosis Method of Power Systems Based on Improved Objective Function and Genetic Algorithm-Tabu Search[J]. IEEE Transactions on Power Delivery,2000,25(3): 1268-1274
    [59]S Kirkpatrick, C D Gelatt, M P Vechi. Optimization by Simulated Annealing[J]. Journal of Statistical Physics,1984,34(5-6):975-986
    [60]H Szu, R Hartley. Fast Simulated Annealing[J]. Physics Letters,1987, 122(3-4):157-162
    [61]Kennedy J, Eberhart R C. Particle swarm Optimization[C].1995 Proceedings of IEEE Conference on Neural Networks. Piscataway, New Jersey, USA:IEEE Service Center,1995:1942-1948
    [62]Kennedy J, Eberhart R C A Discrete Binary Version of the Particle Swarm Algorithm[C].1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation. New York, USA:IEEE, 1997:4104-4108
    [63]束洪春,孙向飞,司大军.基于粗糙集理论的配电网故障诊断研究[J].中国电机工程学报,2001,21(10):73-77
    [64]黄文涛, 赵学增,,王伟杰,等.基于粗糙集理论的故障诊断决策规则提取方法[J].中国电机工程学报,2003,23(11):105-154
    [65]Qing-hui Wang,Jing-rong Li. A Rough Set Based Fault Ranking Prototype System for Fault Diagnosis[J]. Engineering Applications of Artificial Intelligence,2004,17: 909-917
    [66]张志毅,袁荣湘,杨同忠,等.基于粗糙集和小生境遗传算法的电网故障诊断规则提取[J].电工技术学报,2009,24(1):1 58-163
    [67]王林先,李乃永.基于粗糙集理论和故障信息网的电网故障诊断方法[J].继电器,2008,36(8):59-63
    [68]刘箐,解大.基于粗糙集理论和信息融合的变电站故障诊断方法[J].继电器,2007,35(6):5-9
    [69]费胜巍,孙宇.融合粗糙集与灰色理论的电力变压器故障预测[J].中国电 机工程学报,2008,28(16):154-160
    [70]王永强,律方成,李和明.基于粗糙集理论和贝叶斯网络的电力变压器故障诊断方法[J].中国电机工程学报,2006,26(8):137-141
    [71]侯利娟,颜宏文.基于粗糙集和信息熵的变压器故障诊断方法[J].计算机工程与设计,2008,29(2):418-420
    [72]孙才新,李俭,郑海平,杨霁,方雄.基于灰色面积关联度分析的电力变压器绝缘故障诊断方法[J].电网技术,2002,26(7):24-29
    [73]杨春发.基于Petri网的电网故障诊断方法的研究[D].北京:华北电力大学,2005
    [74]Lo K L, Ng H S, Trecat J. Power Systems Fault Diagnosis Using Petri Nets[J]. IEE Proceedings-Generation and Distribution,1997,144(3):231-236
    [75]Lo K L, Ng H S, Grand D M, et al. Extended Petri Net Models for Fault Diagnosis for Substation Automation[J]. IEE Proceedings-Generation, Transmissions and Distribution,1999,146(3):229-234
    [76]倪承波.基于扩展时间Petri网和故障信息网的保护动作分析方法[J].电力系统保护与控制,2008,36(14):33-36
    [77]赵洪山,米增强,杨奇逊.基于冗余嵌入Petri网技术的变电站故障诊断[J].电力系统自动化,2002,26(4):32-35
    [78]任惠,米增强,赵洪山.基于编码PETRI网的电力系统故障诊断模型研究[J].中国电机工程学报,2005,25(20):44-49
    [79]任惠,赵洪山,米增强,等.基于编码PETRI网的电网故障诊断[J].电网技术,2004,28(5):63-68
    [80]王建元,潘超,王娴,等.基于粗糙集的适应型Petri网故障诊断模型研究[J].继电器,2007,35(23):14-18
    [81]王建元,纪延超.模糊Petri网络知识表示方法及其在变压器故障诊断中的应用[J].中国电机工程学报,2003,23(1):121-125
    [82]孙静,秦世引,宋永华.模糊PETRI网在电力系统故障诊断中的应用[J].中国电机工程学报,2004,24(9):74-79
    [83]Jing Sun, Shi-Yin Qin, Yong-Hua Song. Fault Diagnosis of Electric Power Systems Based on Fuzzy Petri Nets[J]. IEEE Transactions on Power Systems,2004,19(4): 2053-2059
    [84]Xu Luo, Mladen Kezunovic. Implementing Fuzzy Reasoning Petri-Nets for Fault Section Estimation[J]. IEEE Transactions on Power Delivery,2008,23(2):676-685
    [85]霍利民,朱永利,贾兰英,等.基于贝叶斯网络的电网故障诊断方法[J].华 北电力大学学报,2004,31(3):30-34
    [86]Zhu Yongli, Huo Limin, Lu Jinling. Bayesian Networks-Based Approach for Power Systems Fault Diagnosis[J]. IEEE Transactions on Power Delivery,2006,21(2): 634-639
    [87]吴欣,郭创新.基于贝叶斯网络的电力系统故障诊断方法[J].电力系统及其自动化学报,2005,17(4):11-15
    [88]李强,徐建政.基于主观贝叶斯的电力系统故障诊断[J].电力系统自动化,2007,31(15):46-50
    [89]吴欣,郭创新,曹一家.基于贝叶斯网络及信息时序属性的电力系统故障诊断方法[J].中国电机工程学报,2005,25(13):14-18
    [90]孟祥忠,隋媛媛,王立刚,等.基于BPN方法的电网故障诊断[J].电力系统保护与控制,2009,37(17):8-12
    [91]钟义信.信息科学原理[M].北京:北京邮电大学出版社,1996
    [92]孙宏斌,张伯明,汤磊,等.电力系统中基于信息量损失最小的决策原理[J].电力系统自动化,2002,26(12):9-13
    [93]汤磊,孙宏斌,张伯明,等.基于信息理论的电力系统在线故障诊断[J].中国电机工程学报,2003,23(7):5-11
    [94]Jong Hyun Kin, Seung Jun Lee, Poong Hyun Seong. Investigation on Applicability of Information Theory to Prediction of Operator Performance in Diagnosis Tasks at Nuclear Power Plants[J]. IEEE Transcaction on Nuclear Science,2003,50(4) 1238-1252
    [95]Heung-Jae Lee, Bok-shin Ahn, Young-Moon Park. A Fault Diagnosis Expert System for Distribution Substations[J]. IEEE Transactions on Power Delivery, 2000,15(1):92-97
    [96]毕天姝,焦连伟,严正,倪以信,杨奇逊,C. M. Shen,吴复立.用于分布式故障诊断系统的新型网络分割法[J].电力系统自动化,2001,25(16):16-21
    [97]赵伟,白晓民,丁剑.基于协同式专家系统及多智能体技术的电网故障诊断方法[J],中国电机工程学报,2006,26(20):1-8
    [98]朱永利,卢锦玲,卢敏,等.基于Multi-agent的电网故障诊断系统的研究[J].继电器,2006,34(5):1-4
    [99]朱传柏,郭创新,曹一家.基于数据调度综合数据平台的大规模电网分层故障诊断[J].电力系统自动化,33(1):51-55
    [100]张炳达,马忠坤,陈伟乐,曾启明.基于故障群组合优化的变电站故障诊 断[J].中国电机工程学报,2004,24(3):135-139
    [101]丁剑,白晓民,赵伟,等.基于复杂事件处理技术的电网故障信息分析及诊断方法[J].中国电机工程学报,2007,27(28):40-45
    [102]邓国新,赵冬梅,张旭.对地区电网故障诊断系统中信息纠错的研究[J].电力系统保护与控制,2009,37(1):50-54
    [103]梅念,石东源,李银红,等.计及信息畸变影响的电网故障诊断分级优化方法[J].电工技术学报,2009,24(9):178-185
    [104]Hanjin Miao, Marino Sforna, Chen-ching Liu. A New Logic-Based Alarm Analyzer for On-Line Operational Environment[J]. IEEE transactions on Power Systems, 1996,11(3)):1600-1606
    [105]周宇阳,陈汉平,王炜哲,等.故障诊断灰色数学模型[J].中国电机工程学报,2002,22(6):146-151
    [106]赵洪山,米增强,任惠.电力系统事件建模与分析[J].中国电机工程学报,2006,26(22):11-16
    [107]聂倩雯,高玮.基于关联规则数据挖掘技术的电网故障诊断[J].电力系统保护与控制,2009,37(9):8-14
    [108]王道林.线形逻辑方程组的解[J].计算机工程与设计,2008,29(5):1195-1198
    [109]周玉兰,王玉玲,赵曼勇.2000年全国电网继电保护与安全自动装置运行情况[J].电网技术,2005,29(16):42-48
    [110]IEC. IEC61850 Communication Networks and Systems in Sub-stations:Part 6, Part7-1-4.[S.1.]:IEC,2004
    [111]刘道兵,顾雪平,李海鹏.电网故障诊断的一种完全解析模型[J].中国电机工程学报,2011,31(34):85-92
    [112]丁艳军,王培红,吕震中,等.一种基于特征空间矢量的故障诊断方法[J].中国电机工程学报,1999,19(9):53-56

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700