断路器电接触在线补偿的分析及优化设计
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
电力系统中,大容量的输配电设备在短路情况下产生很大的电动力,对电器的性能和结构影响极大。断路器的接触系统,在短路或触头闭合情况下涌浪电流通过时由于电流收缩形成回路而产生的强大电动斥力作用,触头的接触压力显著减小,可能引起触点弹跳,导致接触表面金属挥发,产生电弧,造成触头的熔化或熔焊。从而影响触头正常工作或引起重大事故。电流越大,产生的电动斥力越大。因此,这一问题特别是对结构紧凑的低压真空断路器尤为重要。
     为了避免设备短路或触头闭合情况下涌浪电流通过时引起的触点的弹跳,抑制触头的电动斥力,本文利用电磁力的作用原理,设计了一种与触头柔性连接的特殊装置,根据负载电流对触点的接触压力进行动态补偿。电磁力的产生,是通过具有一定的时空分布特性的电磁场来实现的。因此,对断路器电接触在线补偿装置的电磁场的分析和计算是非常重要的。
     本论文的主要内容是关于断路器电接触在线补偿装置的电磁场分析及优化设计。
     论文分析了断路器电接触系统在短时短路、开关闭合和断开时的电动稳定性。提出了断路器电接触在线补偿方案,并以WP630-1.2型低压真空断路器为研究对象进行在线补偿设计。从电磁场的基本原理出发,通过麦克斯韦方程组推导了用有限元法计算电磁场分布的微分方程并利用有限元软件对WP630-1.2型低压真空断路器的在线补偿系统进行电磁场分析和电磁力的计算。在此基础上,对断路器接触补偿系统电动力的影响因素进行研究,分析了不同结构的补偿系统的磁场分布,给出了在线补偿系统电动力与负载电流、结构形状、几何参数的关系及计算公式。以上研究为补偿系统的的参数优化设计提供了依据。
     论文通过应用电位-温度理论、金属传导理论中的Wiedemann-Franz定律、牛顿公式、热平衡方程对WP630-1.2型低压真空断路器的电接触及其在线补偿系统进行了正常稳态、短路暂态运行情况下的热分析,结果证明了断路器电接触及补偿系统在正常运行时及短时短路浪涌电流通过时的温升没有超过其极限允许温度,具有良好的热稳定性。
     论文的另一部分工作是利用ANSYS的APDL模块,基于VB编程平台,开发了有限元模拟可视化软件。在磁场力、热分析的基础上对补偿系统进行参数优化设计,得到各个参数对磁场力的影响,建立了在一定约束限制下,以电磁力为目标的参数可视优化设计的数学模型。为结构设计与分析提供了新的途径和方法。
     论文通过对真空断路器的电接触在线补偿系统的理论分析、计算及实验研究,证明了在线补偿系统对抑制真空断路器接触系统闭合时触头的弹跳,减小闭合触点间的动态电阻,加快触点断开速度,有效提高其分断可靠性及开断能力,抵抗瞬时浪涌电流有重大意义。
Great capability transmitting and distributing electricity equipments bring powerful electrodynamic force under short circuit conditions during power transmission. The high repulsive force value between contact members due to current path shrink arising mostly at contact closure and/or in transient under short circuit conditions is particularly onerous for power switch applications. It results in the contact force value between contact members dropping obviously and either contact floating or bouncing which are associated with an electric arc and following contact welding, which affect the transporting and distributing electricity equipments normal running. Higher is the current value higher is probability of a contact repulsive. Therefore, this problem is of great importance for any circuit breaker especially for vacuum circuit breakers of a low voltage which are of a compact structure.
     To avoid the contact floating or bouncing at closure and during any inrush current under short circuit conditions, a special compensation system flexibly combined with the contact itself has been developed, which employs an electromagnetic effect of the contact load itself based on electromagnetic force mechanism. However the electromagnetic force is generated by electromegnetic field with a certain form and distributing characteristic. It is necessary to analyse and calculate the electromegnetic field of the electric contact compensation system on line of circuit breaker.
     The content of this thesis is about the electromegnetic force analysis and optimization design of the electric contact compensation system on line of circuit breaker.
     In this thesis, electromagnetic field differential equation is derived from the basic electromagnetic field principle-Maxwell equation group. The electromegnetic force analysis of the electric contact compensation system on line of circuit breaker is carried out using Finite Element Method (FEM), and comparing with the analytic method results. The different shape and different geometrical parameter compensation system effecting on electromagnetic force value and distributing are analyzed. Curve-fitting and Equations of electromagnetic force as the function of shape, geometrical parameter and load of the compensation system are given according to the calculating results, the optimization designing of compensation unit is based on it.
     Besides, Potential-temperature theory, Wiedemann-Franz law in metal conduction theory, Newton formula and thermal balance Equation are used respectively for thermal calculating of the electric contact and compensation system on line of circuit breaker under steady and transient state. Favourable thermal steady performances of them are proved.
     Another part of this thesis is that the visualized finite element simulation software was developed based on VB programming platform using ANSYS-APDL module. Furthermore, parameter optimization design of the compensation system was carried through based on thermal and electromagnetic force analysis. A visualized parametic model is established under certain constraints, which provide the engineers with new track and method to design and analyze structures in future.
     The circuit breaker performance can be improved significantly by theory analysis, calculation and experiment investigation for on-line contact compensation. The contact rebounds under closure are suppressed and the dynamic resistance of the closed contacts under short circuit conditions is found even to be decreased. Due to the reverse threshold of the compensator under operation the speed of contacts at opening is increased what increases the breaking ability of the switch.
引文
[1]尚振球,郭文元,高压电器[M],西安:西安交通大学出版社,1992。
    [2]贺湘琰主编,电器学(第二版),机械工业出版社,2000。
    [3]王仁祥,常用低压电器原理及其控制技术,机械工业出版社,2004。
    [4]连理枝,我国低压断路器的概况和展望,电气世界,2001.7。
    [5]我国断路器要加强开发自主知识产权的产品,中国机械工业联合会,中国机经网,2006.11。
    [6]Rivetti,Giandomenico(ABB Sace SPA),Teigland,Jan,'Smart' low-voltage circuit-breakers,Source:ABB Review,n 4,1997,p 41-46.
    [7]张冠生,国内外断路器差距分析,电器学,中国工业出版社,1961。
    [8]张裕生,真空断路器的现状与发展,重庆新汇源高压开关有限公司,2008.3.29。
    [9]真空断路器的发展 高压开关网
    [10]张冠生,电器理论基础(修订本),机械工业出版社,1997。
    [11]马镜澄等,低压电器,兵器工业出版社,1993。
    [12]周志敏,真空断路器的应用与发展,电气开关,第4期,2001年4月。
    [13]高压断路器电气与机械联动的可靠性比较 2007.11.25 lunwentianxia
    [14]郭贤珊,李仲夫,陈轩恕,断路器操动机构在线监测参数的选择[J],高压电器,2002,38(1),24-25。
    [15]C R Heising,A L Janssen,W Lanz,et al.Summary of CIGRE 13.06 Working Group World Wide Reliability Data and Maintenance Cost Data on High Voltage Circuit /peakers Above 63 kV[A].Industry Applications Society Annual Meeting[C],Conference Record of IEEE,1994.
    [16]王季梅,真空开关,西安交通大学出版社,1986。
    [17]永磁技术在中压真空断路器中的应用 机电之家
    [18]连理枝,低压断路器及其应用,中国电力出版社,2002。
    [19]魏本纪,双稳态永磁操动机构与真空断路器的特性配合问题探讨,2007.11.25lunwentianxia
    [20]永磁机构及其发展的动态[J],高压电器,2001,37(1):44-47。
    [21]林莘,永磁操动机构与真空断路器,机械工业出版社,2002.6。
    [22]王季梅,吴维忠,真空开关[M],北京:机械工业出版社,1983。
    [23][美]J.M.拉弗蒂,真空电弧理论和应用,机械工业出版社,1985。
    [24]Schellekens,Hans(NV Kema,Arnhem,Neth),"DIFFUSE VACUUM ARC",Acad of Sciences of the GDR,1984,P207-211.
    [25]王毅,苑舜,低压真空断路器的发展前景,电工技术杂志,第5期,1995.5。
    [26]陈德桂,低压断路器结构设计的发展动向,电工技术杂志,第6期,1995.6。
    [27]张冠生,电器理论基础[M],北京:机械工业出版社,1989。
    [28]董武钢,断路器跳合闸回路故障保护,2007.11.25 http://www.lunwentianxia.com。
    [29]徐国政,张节容,钱家骊等,高压开关原理和应用[M],北京:清华大学出版社,2000。
    [30]张节容,钱家骊,高压电器原理和应用,清华大学出版社,1989。
    [31]我国低压电器市场分析报告及预测,2006.1,www.laixx.com。
    [32]Lu Jian-Guo,Du Tai-Hang,Luo Yan-Yan,Study on the instantaneous protection reliability of low voltage circuit breakers,Source:Journal of Zhejiang University:Science A,v 8,n 3,March,2007,p 370-377.
    [33]Valdes Marcelo E.,Purkayastha Indrajit,Papallo Tom,Protection control reliability and diagnostic improvements via single-processor control of circuit breakers in low voltage switchgear,Source:IEEE Conference Record of Annual Pulp and Paper Industry Technical Conference,IEEE Conference Record of 2004 Annual Pulp and Paper Industry Technical Conference,2004,p 146-155.
    [34]苏麟,混合式电力电子断路器驱动保护及串并联等关键技术研究[学位论文],东南大学,2005。
    [35]面向21世纪的低压电器新技术(1)lunwentianxia
    [36]罗天雨,新一代塑壳断路器技术发展方向,http://ic.newmaker.com。
    [37]西门子3VL系列断路器,电气应用,24卷,第3期,2005,113-113。
    [38]冯继锋,塑料外壳式断路器的发展,低压电器,第4期,2002。
    [39]Rainin V.E.,Static trips for low-voltage circuit breakers,Source:Russian Electrical Engineering,v 73,n 2,2002,p 45-50.
    [40]Chen Gang,Liu Jiao-Min,Wei Xue-Jie,Liu Jin-Mei,The testing and analysis technology for temperature field of low-voltage circuit breaker,Source:Proceedings of the Sixth International Conference on Machine Learning and Cybernetics,ICMLC 2007,v 3,Proceedings of the Sixth International Conference on Machine Learning and Cybernetics,ICMLC 2007,2007,p 1459-1463.
    [41]ABB公司产品介绍,http://library.abb.com/。
    [42]常熟开关制造有限公司产品介绍,http://www.riyue.com.cn/。
    [43]顾惠民,周积刚,国外新一代塑壳断路器的现状和发展动向,低压电器,第2期,2006年,7-11。
    [44]正泰集团产品介绍,http://www.chint.net/。
    [45]再论我国第四代低压电器,中国电气网,2006.6.7,http://electric.cn/Html/xxnews/20066/200667104131.html。
    [46]郑健超,电力前沿技术的现状及前景,2007.11.25,http://www.lunwentianxia.com。
    [47]Onchi Toshiyuki,Isozaki Masaru,Wada Masayoshi,Current Limiting Simulation for Low Voltage Circuit Breaker Source:IECON Proceedings (Industrial Electronics Conference),v 1,2003,p 631-636.
    [48]Kawase Yoshihiro,Ota Tomohiro,Yoshida Makoto et.al,Dynamic analysis of oil dashpot for electromagnetic release in low voltage circuit breakers using finite element method,Source:COMPEL-The International Journal for Computation and Mathematics in Electrical and Electronic Engineering,v 19,n 2,2000,p 718-723.
    [49]Mutzel Timo,Berger Frank,Anheuser Michael,Numerical analysis of low-voltage circuit-breakers under short-circuit conditions,Source:Electrical Contacts,Proceedings of the Annual Holm Conference on Electrical Contacts, Electrical Contacts 2007:Proceedings of the 53rd IEEE Holm Conference on Electrical Contacts,2007,p 37-42.
    [50]张晋,陈德桂,付军,三相短路情况下塑壳断路器开断特性的计算机模拟[J],低压电器,1999,(1):10-14。
    [51]Lu Na,Xu L.J.,Miedzinski B.,Approach for electrodynamic force for compensation in low voltage circuit breaker WP 630-1.2 type,Source:Journal of Zhejiang University:Science A,v 8,n 3,March,2007,p 393-396.
    [52]低压塑壳断路器中电动斥力的三维有限元非线性分析与实验研究,2007.2.24,http://www.66wen.com。
    [53]杜和艳,MB30系列低压塑壳断路器机构特性研究[学位论文],贵州大学,2007。
    [54]Fang Shuhua,Lin Heyun,Yang Chenfeng et.al,Magnetic field analysis and control strategy of permanent magnet actuator for low voltage vacuum circuit breaker Source:Proceedings of the International Conference on Power Electronics and Drive Systems,7th International Conference on Power Electronics and Drive Systems,PEDS 2007,2007,p 540-543.
    [55]Rong Mingzhe,Wu Yi,Yang Qian et.al,Simulation on arc movement under effects of quenching chamber configuration and magnetic field for low-voltage circuit breaker Source:IEICE Transactions on Electronics,v E88,n 8,August,2005,p 1577-1583.
    [56]Wu Yi,Rong Mingzhe,Yang,Fei et.al,Numerical modeling of arc root transfer during contact opening in a low-voltage air circuit breaker Source:IEEE Transactions on Plasma Science,v 36,n 4 PART 1,August,2008,Images in Plasma Science,p 1074-1075.
    [57]Piqueras L.,Henry D.,Jeandel D.et.al,Three-dimensional modelling of electric-arc development in a low-voltage circuit-breaker,Source:International Journal of Heat and Mass Transfer,v 51,n 19-20,September,2008,p 4973-4984.
    [58]Zolfaghari Ali,Modeling and simulation of electric arc plasmas in low voltage circuit breakers,Source:IEEE International Conference on Plasma Science,2000,p 239.
    [59]Fievet Christian,Barrault Michel,Chevrier Pierre et.al,Experimental and numerical studies of arc restrikes in low-voltage circuit breakers Source:IEEE Transactions on Plasma Science,v 25,n 5,Oct,1997,p 954-959.
    [60]Volker F.,Computer-aided calculation of the steady-state thermal performance characteristics of low-voltage circuit breakers,Source:European Transactions on Electrical Power Engineering/ETEP,v 3,n 5,Sep-Oct,1993,p 347-352.
    [61]并联电容器组对高压SF6断路器内部电场分布的影响,2007.11.25http://www.lunwentianxia.com。
    [62]颜威利,张云峰,邱祖述,用有限元诉法计算电磁机构的吸力特性,低压电器技术情报,1978(4):1-12。
    [63]颜威利,张乃宽等,电磁铁温度场的有限元计算方法 上海电器技术,1983(2):13-17。
    [64]ADAMS,User's reference manual[M],Version 11.0,MDI Corpo-ration,1999.
    [65]张越今,宋键,张云清等,多体动力学分析的两大软件--ADAMS和DADS,1997,(3):16-20。
    [66]张晋,陈德桂,付军,低压开关操作机构三维可视化仿真技术的研[J].西安交通大学学报,1999,33(2):6-10。
    [67]杨武,高压断路器机构动力学特性及管脚参数状态在线检测的研究[D],西安:西安交通大学,2002。
    [68]杨武,荣命哲,王小,考虑电动力效应的高压断路器动力学特性仿真分析,2007.11.25,http://www.lunwentianxia.com。
    [69]李岩,王胜辉,林莘,永磁操动机构设计与分析软件,高压电器,第1期,2003。
    [70]Niu C.,Chen,D.,Dynamic simulation of operating mechanism in low-voltage moulded-case circuit breaker,Source:IEE Proceedings:Generation,Transmission and Distribution,v 153,n 4,July,2006,p 451-455.
    [71]Ito Shokichi,Kawase Yoshihiro,Mori Hiroyuki,3-D finite element analysis of repulsion forces on contact systems in low voltage circuit breakers,Source:IEEE Transactions on Magnetics,v 32,n 3-1,May,1996,p 1677-1680.
    [72]Wu Yi,Rong Mingzhe,Li,Jian et.al,Calculation of electric and magnetic fields in simplified chambers of low-voltage circuit breakers,Source:IEEE Transactions on Magnetics,v 42,n 4,April,2006,p 1007-1010.
    [73]Stammberger H.,Force calculations for the movable contact of circuit breakers[C],19th international conf.on electrical contactphenome-na.14-17september,1998,Nuremberg,Germany.
    [74]Yoshihiro K,Hiroyuki M,Shokichi I,3-D finite element analysis of electrodynamic repulsion forces instationary electric contacts taking into account asymmetric shape[J],IEEE Trans.on Magnetics,1997,33(2):1994-1999.
    [75]Abri A.,Nordgren R.,Kjellnas S.et.al,Finite element analysis of electromagnets and contact systems in low voltage current limiting circuit breakers,Source:IEEE Transactions on Magnetics,v 26,n 2,Mar,1990,p 960-963.
    [76]颜威利,邱祖述,用有限元诉法计算电磁机构的吸力特性(续),低压电器技术情报,1979(1):4-13。
    [77]吴伟光,马履中,真空断路器用弹簧操动机构的优化设计[J],高压电器(High Voltage Apparatus),2002,36(3):14-16。
    [78]孙建中,白凤仙,孙艳霞,智能化模拟退火算法及其在电磁装置优化设计中的应用,电工电能新技术,第4期,1977。
    [79]崔寒,永磁操动机构真空断路器的优化设计,论文天下,2007.11.25。
    [80]宋述忠,裴海鹰,磁力双稳态操动机构优化设计计算,高压电器,第6期,2001年。
    [81]真空断路器合闸弹跳的危害性及其对策探讨,2008.8.8,www.aqxx.com.cn。
    [82]真空断路器机械特性探讨
    [83]王远程,浅谈真空断路器的机械特性参数及调整[J],江西煤炭科技,1999。
    [84]关于真空断路器电寿命极限开断次数的探讨
    [85] Smith Jack, Low-voltage circuit breaker basics, Source: Plant Engineering (Barrington, Illinois), v 57, n 3, March, 2003, p 53-57.
    [86] O'Donnell P., Braun W.F., Heising C.R. et. al, Survey results of low-voltage circuit breakers as found during maintenance testing: Working Group report, Industry Applications, IEEE Transactions onVolume 33, Issue 5, Sept.-Oct. 1997 Page(s):1367-1369.
    [87] O'Donnell Pat, Braun W.F., Heising C.R. et. al, Closure to discussion of 'survey results of low-voltage circuit breakers as found during maintenance testing: Working group report', Source: IEEE Transactions on Industry Applications, v 33, n 5, Sep-Oct, 1997, p 1372.
    [88] Miedzinski B., Kowalski Z., Jarosz J., Effect of a dynamic force compensation in a low voltage vacuum circuit breaker, Source: IEEE AFRICON Conference, v 2, 2002, p 807-814.
    [89] Miedzinski B., Szymanski A., Kowalski Z. et. al, Applicability of on-line Contact Force Compensation in Switchgear, Proc. 1~(st) Int Conf. On Reliability of Electrical Products and Electrical Contacts, Suzhou, China, 28-31.08.2004, pp. 51-53.
    
    [90] 江国锋,低压真空断路器的电动力补偿设计 ,机电工程技术,No.7, 2002.
    [91] Silvester P P, Chari M V K., Finite Element Solution of Saturable Magnetic Field Problem. IEEE Trans. On PAS, 1970, 89(7).
    [92] R. Wait, A. R. Mitchell, Finite Element Analysis and Applications. New York: Wiley, 1985.
    [93] Chari M V K, Silvester P P, Finite Element for Electrical and Magnetic Field Problems, London, 1980.
    [94] O. C. Zienkiewicz, R.L.Taylor, The Finite Element Method (4~(th) edition), Vol. 1: Basic Formulation and Linear Problems. New York: McGraw-Hill, 1989.
    
    [95] S. S. Rao, The Finite Element Method in Engineering. Oxford: Pergamon Press, 1982.
    [96] R. K. Livesley, Finite Elements: An Introdution for Engineers, Cambridge: Cambridge University Press, 1983.
    [97]D.S.Burnett,Finite Element Analysis,From Concepts to Applications.Reading,MA:Addison Wesley,1987.
    [98]Richert K,Freund H,Vogt W.,The Calculation of Forces and Torques with in Numerical Magnetic Field Calculation Methods,Proceedings of the Conferece on Computation of Magnetic Field,Oxford,1976.
    [99]颜威力,杨庆新,汪友华,电气工程电磁场数值分析,机械工业出版社,2005.8。
    [100]倪光正,钱秀英,电磁场数值计算,北京:高等教育出版社,1996。
    [101]金建铭著,王建国,电磁场有限元方法,西安电子科技大学出版社,1998。
    [102]河野照哉,宅间董,电场数值计算法,北京:高等教育出版社,1985。
    [103]左全璋,胡双,左才科,双稳态永磁操动机构结构设计和性能计算,华通技术,第2期,2002。
    [104]颜威利,磁场作用力的数值计算,河北工学院学报,1981(1):46-55。
    [105]Kabashima T,Kawahara A,Goto T,Force Calculation Using Magnetizing Currents.IEEE Trans.On Magnetics,1988,24(1).
    [106]Yan Weili,Li Lin,Yang Qingxin.Numerical Calculation of the Nonlinear Dynamic Process in Electromagnetic Devices.IEEE Trans.On Magnetics,1992,28(2):1253-1254.
    [107]Yan Weili,Rao Liyun,Yang Qingxin.Finite Element Dynamic Analysis for the Electromagnetic of A.C.Contactor,IEEE Trans.On Magnetics,1991,27(5):4133-4135.
    [108]Yang Qingxin,Yan Weili,Finite Element Analysis for Eddy Current in D.C.Electromagnet During its Closing Process.IEEE Trans.On Magnetics,1990,26(2):579-581.
    [109]颜威利,三维恒定非线性磁场有限元的变分原理,哈尔滨电工学院学报,1983(1):11-21。
    [110]Yan Weili,Yang Qingxin,Li Zhigang,Finite Element Analysis for Static and Dynamic Characteristics of Electromagnets,IEEE Trans.On Magnetics,1988,24(1):282-285.
    [111]颜威利,三维稳态温度场的有限元法,河北工学院学报,1984(2):28-37。
    [1]贺湘琰,电器学(第二版)机械工业出版社,2000。
    [2]颜威力,杨庆新,汪友华,电气工程电磁场数值分析,机械工业出版社,2005.8。
    [3]Zhang Ji-Gao,Ping Yu,Electric contact performance:effect of contact surface morphology and the size of dust particles[J],Proceedings of the Thirty-Sixth IEEE Holm Conference on,1990,p402 -409.
    [4]张节容,钱家骊,高压电器原理和应用,清华大学出版社,1989,20-21。
    [5]McBride J.W.,An Experimental Investigation of Contact Bounce in Medium Duty Contacts,IEEE Trans.CPTMT - Part A,vol 14,No 2,1991,P 319-326.
    [6]于改苗,真空断路器合闸弹跳的研究,陕西省真空电器有限公司,118-123。
    [7]徐黎明,浅析真空开关的合闸弹跳和分闸弹跳,高压电器,第3期,2000,52-53。
    [8]Miedzi(?)ski B.,Szk(?)lka S.,Borczy(?)ski J.et.A;,Properties of current Transducers with Rogowski Coils in Measuring Systems for Protections,Mechanizacja i Automatyzacja G(?)rnictwa,No 7/402,2004,p77-84.
    [9]张冠生,电器学,中国工业出版社,1961年,166-172。
    [10]王季梅,真空开关,西安交通大学出版社,1986年。
    [11]张冠生,低压电器,中国工业出版社,1961年,46-50。
    [12]江国锋,低压真空断路器的电动力补偿设计,机电工程技术,第七期,2002年。
    [13]Miedzinski B.,Kowalski Z.,Jarosz J.,Effect of a Dynamic Force Compensation in a Low Voltage Circuit Breaker.Proc.IEEE African,George,SA2002,p807-810.
    [14]Miedzinski B.,Szymanski A.,Kowalski Z.et.al,Applicability of on-line Contact Force Compensation in Switchgear,Proc.1st Int Conf.On Reliability of Electrical Products and Electrical Contacts,Suzhou,China,28-31.08.2004,p51-53.
    [15]程礼春,电接触理论及应用,机械工业出版社,1987年。
    [16]谢处方,饶克谨,电磁场与电磁波,第三版,1999年,高等教育出版社。
    [17]张冠生,电器理论基础,机械工业出版社,1997年。
    [1]Silvester P P,Chari M V K.,Finite Element Solution of Saturable Magnetic Field Problem.IEEE Trans.on PAS,1970,89(7).
    [2]颜威力,杨庆新,汪友华,电气工程电磁场数值分析,机械工业出版社,2005.8。
    [3]颜威力,三维恒定非线性磁场有限元法的变分原理,哈尔滨电工学报,1983(1):11-21。
    [4]张榴晨,徐松,有限元法在电磁计算中的应用,北京:中国铁道出版社,1996。
    [5]谢德馨,三维涡流场的有限元分析,北京:机械工业出版社,2001。
    [6]金建铭,电磁场有限元方法,西安电子科技大学出版社,2001。
    [7]谢处方,饶克谨,电磁场与电磁波,第三版,高等教育出版社,1999.6。
    [8]ANSYS Theory Manual,Rev.5.0,Swanson Analysis System Inc.,Houston,1993.
    [9]徐健学,麦克斯韦电磁应力张量和电磁固体耦合动力学,上海交通大学学报,1990年,24(5):16-22。
    [10]唐兴伦,ANSYS工程应用教程-热与电磁学篇,中国铁道出版社,2003年。
    [11]李皓月,周田朋,刘相新,ANSYS工程计算应用教程,中国铁道出版社,2003年。
    [12]叶先磊,史亚杰,ANSYS工程分析软件应用实例,清华大学出版社,2003年。
    [13]谭建国,使用Ansys 6.0进行有限元分析,北京:北京大学出版社,2002年。
    [14]陈晓霞,ANSYS7.0高级分析,机械工业出版社,2004年。
    [15]ANSYS 8.0,on line help.
    [1] Miedzinski B., Kowalski Z., Jarosz J., Effect of a Dynamic Force Compensation in a Low Voltage Circuit Breaker. Proc. IEEE African, George, SA2002, p807-810.
    [2] Miedzinski B., Szymanski A., Kowalski Z. et. al, Applicability of on-line Contact Force Compensation in Switchgear, Proc. 1st Int Conf. On Reliability of Electrical Products and Electrical Contacts, Suzhou, China, 28-31.08.2004, p 51-53.
    [1]程礼春编,电接触理论及应用,机械工业出版社,1987年。
    [2]贺湘琰主编,电器学,第二版,机械工业出版社,2000年。
    [3]李景涌编,有限元法,北京邮电大学出版社,1999年。
    [4]杨世铭编,传热学,第二版,北京:高等教育出版社,1987年。
    [5]杨世铭,陶文铨编,传热学,第三版,北京:高等教育出版社,1998年。
    [6]陶文铨编著,数值传热学,西安交通大学出版社,1988年。
    [7]赵镇南,传热学,北京:高等教育出版社,2002年。
    [1]龚曙光,谢桂兰,ANSYS操作命令与参数化编程,第1版,机械工业出版社,2004年:3-4。
    [2]博弈创作室,ANSYS9.0经典产品高级分析技术与实例详解,第1版,中国水利水电出版社,2005:1-2。
    [3]邵军,文先琪,李迎涛.,基于VISUAL BASIC的ANSYS参数化设计分析,重庆科技学院学报(自然科学版),第8卷,第3期,2006年,9月9:,98页-99页。.

© 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