高压电气设备支架串联体系地震响应半解析法
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摘要
针对具有集中分布参数柔性节点的多节电瓷型高压电气设备支架串联体系,通过应用分布参数梁振动理论与集中参数通过边界条件的引入,推导出其频率方程,然后通过数值方法求得频率及振型。通过应用Betti定律,推导出具有集中分布参数柔性节点的多节电瓷型高压电气设备支架串联体系振型的正交条件,应用此正交条件对集中参数与分布参数的振动方程解耦,从而得到广义质量及广义荷载,然后通过振型叠加法求解结构的地震响应。最后应用该半解析法与有限元法数值积分法对一330 KV电压互感器支架串联体系地震响应进行分析,分析结果表明,该半解析法求解的地震响应与有限元直接积分法求解的地震响应相一致,从而为具有集中分布参数柔性节点的多节电瓷型高压电气设备支架串联体系的地震响应分析和抗震设计提供了一种新的途径。
Aiming at to serial system of the supporter and over head electrical equipment with the flexible nodes and electric porcelains,the dynamic analysis model of this serial system is proposed.The frequency equation of this serial isolated system is derived by the vibration theory of beam with distributed parameters and introducing the boundary conditions of concentrated parameters,then frequencies and mode shapes can be obtained by the numerical method.According to the Betti law,the orthogonal conditions of modes of this serial system are derived.Then using these orthogonal conditions vibration equation of this serial system is decoupled and obtain the generalized mass and stiffness.Therefore the responses of this serial system with the concentrated,distributed parameters and flexible nodes under earthquake can be solved by the mode superposition method.In order to validate the correctness of this semi-analytical method,the responses of the 330KV voltage transformer under earthquake are solved by the semi-analytical method and numerical integration method of FEM,the responses of serial system obtained by two methods are basically consistent,which indicates the correctness of this semi-analytical method to solve the response of serial isolated system under earthquake.
Aiming at to serial system of the supporter and over head electrical equipment with the flexible nodes and electric porcelains,the dynamic analysis model of this serial system is proposed.The frequency equation of this serial isolated system is derived by the vibration theory of beam with distributed parameters and introducing the boundary conditions of concentrated parameters,then frequencies and mode shapes can be obtained by the numerical method.According to the Betti law,the orthogonal conditions of modes of this serial system are derived.Then using these orthogonal conditions vibration equation of this serial system is decoupled and obtain the generalized mass and stiffness.Therefore the responses of this serial system with the concentrated,distributed parameters and flexible nodes under earthquake can be solved by the mode superposition method.In order to validate the correctness of this semi-analytical method,the responses of the 330KV voltage transformer under earthquake are solved by the semi-analytical method and numerical integration method of FEM,the responses of serial system obtained by two methods are basically consistent,which indicates the correctness of this semi-analytical method to solve the response of serial isolated system under earthquake.
引文
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[14]李晓玉,陈淮,吴勘.高压电气设备地震时程响应分析[J].郑州工业大学学报,2002,23(4):72-75.(LIXiao-yu,CHEN Huai,WU Kan.Study on earth-quake responses of high-voltage electrical equipment[J].Journal of Zhengzhou University of Technolo-gy,2002,23(4):72-75.(in Chinese))
[15]R.W.克拉夫,J.彭津.结构动力学[M].王光远,等译,北京:科学出版社,1981.(CLOUGH R W,PE-NZIEN J.Dynamics of Structure[M].Wang Guang-yuan,et al,Translation.Beijing:Science Press,1981.(in Chinese))
[2]Jean-Robert Pierre.First experience concerning theseismic behavior of an electric power system in east-ern north America[A].Lifeline Earthquake Engineer-ing,Proceedings of the 3rdUS Conference[C],1991:266-274.
[3]Anshel J Schiff,Ron Tognazini,Dennis Ostrom,Power system after the Northridge earthquake:E-mergency operations and changes in seismic equip-ment specifications,practice,and system configura-tion[A].Lifeline Earthquake Engineering.Proceed-ings of the 4thUS Conference[C],1995,54:9-556.
[4]李亚琦,李小军,刘锡荟.电力系统抗震研究概况[J].世界地震工程,2002,18(4):79-84.(LI Ya-qi,LI Xiao-jun,LIU Xi-hui.A summary on the seismicanalysis in the electrical system[J].World Earth-quake Engineering,2002,18(4):79-84.(in Chinese))
[5]GB50260-96.电力抗震设计规范[S].北京:中国计划出版社,1996.GB50260-96.Code for Design of Seis-mic of Electrical Installations[S].Beijing:ChinaPlanning Press,1996.(in Chinese))
[6]非明伦,周光全.盐津5.1级地震现场调查与烈度分布[J].地震研究,2006,29(4):412-417.(FEI Ming-lun,ZHOU Guang-quan,et al.Yanjin,Yunnan,MS5.1 Earthquake Damage Survey in Field and IntensityDistribution[J].Journal of Seismological Research,2006,29(4):412-417.(in Chinese))
[7]Shinozuk M,Rose A,Eguchi R T.Engineering andSocioeconomic Impacts of Earthquakes[A].An Anal-ysis of Electricity Lifeline Disruptions in the NewMadrid Area,MCEER[C],1998.
[8]Andrew S W,Gregory L F,Amir S J.Gilani.Seis-mic evaluation and analysis of high-voltage substationdisconnect switches[J].Engineering Structures,2007,7.
[9]Carlo C,Luca B,Stefano C,et al.Seismic risk eval-uation for high voltage air insulated substations[J].Reliability Engineering&System Safety,1997,55(2):179-191.
[10]杨亚弟,张其浩.具有柔性结点的有限元法及其应用[J].工程力学,1988,(3).(YANG Ya-di,ZHANGhang-qihao.The fem with flexble nodel point andits application[J].Engineering Mechanics,1988(3).(in Chinese))
[11]张伯艳,方诗圣,范知好.高压电气设备的抗震计算[J].中国电力,2001,34(1):44-47.(ZHANG Bo-yan,FANG Shi-sheng,FAN Zhi-hao.The aseismaticcalculation of the high voltage electricity equipment[J].Electric Power,2001,34(1):44-47.(in Chi-nese))
[12]江建华,廖松涛,李杰.高压电气设备的抗震可靠度分析[J].工程抗震,2004,25(4):37-42.(JIANG Jian-hua,LIAO Song-tao,LI Jie.Seismic reliability anal-ysis for high voltage electrical installations[J].Earth-quake Resistant Engineering,2004,25(4):37-42.(inChinese))
[13]李晓玉,陈淮,李天.高压电气设备动态特性分析[J].郑州工业大学学报,1999,20(2):61-63.(LI Xi-ao-yu,CHEN Huai,LI Tian.Study on natural fre-quencies of high-voltage electrical equipment[J].Journal of Zhengzhou University of Technology,1999,20(2):61-63.(in Chinese))
[14]李晓玉,陈淮,吴勘.高压电气设备地震时程响应分析[J].郑州工业大学学报,2002,23(4):72-75.(LIXiao-yu,CHEN Huai,WU Kan.Study on earth-quake responses of high-voltage electrical equipment[J].Journal of Zhengzhou University of Technolo-gy,2002,23(4):72-75.(in Chinese))
[15]R.W.克拉夫,J.彭津.结构动力学[M].王光远,等译,北京:科学出版社,1981.(CLOUGH R W,PE-NZIEN J.Dynamics of Structure[M].Wang Guang-yuan,et al,Translation.Beijing:Science Press,1981.(in Chinese))
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