变电站设备–支架耦合体系的地震响应建模与参数分析
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摘要
为了研究设备–支架串联体系的动力特性及地震响应规律,针对具有分布参数和柔性节点的电气设备支架串联体系,该文通过应用分布参数梁振动理论和边界条件的引入,推导出其频率方程,并利用数值方法求得频率及振型。根据分布参数体系振型的正交性条件,对分布参数体系的运动方程进行解耦,通过振型叠加法得到了体系的地震响应。利用该方法计算了500k V支架–套管体系的动力特性及地震响应,并与振动台试验结果进行了对比分析,验证了该理论模型的准确性。此外,还分析了不同参数对体系动力特性及地震响应的影响,得到了考虑绕法兰转动刚度的设备–支架体系基频计算公式、支架和绕法兰转动刚度对设备地震响应的影响规律,据此对设备支架的设计优化和抗震加固提出了建议。
In order to investigate the dynamic characteristics and seismic responses of the electrical equipment-support structural system with distributed physical parameters and flexible joints, an analytical model of the multistage cantilever beam was established. In the model,frequency equations were derived from the kinematic differential equation and boundary conditions. Resonant frequencies and vibration modes were obtained by the numerical method. The kinematic equations of the system were decoupled according to the orthogonality condition of the vibration modes, and the seismic responses of the system were calculated by the mode superposition method. To verify the model, a shaking table test was carried out on a 500 kV support-bushing system. Comparing the dynamic characteristics and seismic responses of the analytical calculation and the shaking table test demonstrates the accuracy of the analytical model. At last, the parameter analysis was studied by using the model, indicating the influence on the seismic responses of equipment-support structural system and computational formula for resonant frequencies. On the basis of this, some suggestions on the optimal design of the equipment support are put forward.
In order to investigate the dynamic characteristics and seismic responses of the electrical equipment-support structural system with distributed physical parameters and flexible joints, an analytical model of the multistage cantilever beam was established. In the model,frequency equations were derived from the kinematic differential equation and boundary conditions. Resonant frequencies and vibration modes were obtained by the numerical method. The kinematic equations of the system were decoupled according to the orthogonality condition of the vibration modes, and the seismic responses of the system were calculated by the mode superposition method. To verify the model, a shaking table test was carried out on a 500 kV support-bushing system. Comparing the dynamic characteristics and seismic responses of the analytical calculation and the shaking table test demonstrates the accuracy of the analytical model. At last, the parameter analysis was studied by using the model, indicating the influence on the seismic responses of equipment-support structural system and computational formula for resonant frequencies. On the basis of this, some suggestions on the optimal design of the equipment support are put forward.
引文
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[16]程永锋,卢智成,邱宁,等.特高压支柱类瓷质电气设备支架动力放大系数研究[J].高电压技术,2015,41(11):3651-3658.Cheng Yongfeng,Lu Zhicheng,Qu Ning,et al.Study on support dynamic magnification coefficient about UHVpillar type porcelain electrical equipments[J].High Voltage Engineering,2015,41(11):3651-3658(in Chinese).
[17]于金光,郝际平,解琦,等.美日中高压电气设备地震动力反应放大系数比较研究[J].土木工程学报,2010,43(S):77-80.Yu Jinguang,Hao Jiping,Xie Qi,et al.Comparative study on dynamic response magnification factors forhighvoltage electric equipment between American Japanese and Chinese[J].Journal of Civil Engineering,2010,43(S):77-80(in Chinese).
[18]程永锋,刘振林,卢智成,等.?800k V支柱复合绝缘子抗震试验研究[J].中国电力,2017,50(10):89-96.Cheng Yongfeng,Liu Zhenlin,Lu Zhicheng,et al.Experimental study on seismic performance and structural characteristics of?800k V composite post insulators[J].Electric Power,2017,50(10):89-96(in Chinese).
[19]薛渊.塔式起重机塔身刚度计算分析的高效方法[D].哈尔滨:哈尔滨工业大学,2001.Xue Yuan.An efficient method for calculating and analyzing the Rrgidity of tower body for tower crane[D].Harbin:Harbin Institute of Technology,2001(in Chinese).
[20]中华人民共和国住房和城乡建设部.电力设施抗震设计规范:GB50260-2013[S].北京:中国计划出版社,2013.Ministry of Housing and Urban-Rural Construction of the PRC.Code for design of seismic of electrical installtions:CB50260-2013[S].Beijing:China Planning Press,2013(in Chinese).
[2]于永清,李光范,李鹏,等.四川电网汶川地震电力设施受灾调研分析[J].电网技术,2008,32(11):5-10.Yu Yongqing,,Li Guangfan,Li Peng,et al.Investigation and analysis of electric equipment damage in Sichuan power grid caused by Wenchuan earthquake[J].Power System Technology,2008,32(11):5-10(in Chinese).
[3]Fujisaki E,Takhirov S,Xie Q,et al.Seismic vulnerability of power supply:lessons learned from recent earthquake and future horizons of research[C]//Proceedings of the 9th International Conference on Structural Dynamics.Porto,Portugal:IEEE,2014:345-350.
[4]Kwasinski A,Eidinger J,Tang A,et al.Performance of electric power systems in the 2010-2011 Christchurch,New Zealand,Earthquake Sequence[J].Earthquake Spectra,2014,30(1):205-230.
[5]東京電力株式会社.東北地方太平洋冲地震に伴ぅ電気設備の停電復旧紀録[R].東京:東京電力株式会社,2013.Tokyo Electric Power Company.Report on the restoration of electrical power facilities in the electric facilities of the taiheiyo Chubu earthquake in the Tohoku District[R].Tokoyo:Tokyo Electric Power Company,2013(in Japanese).
[6]尤红兵,赵凤新.芦山7.0级地震及电力设施破坏原因分析[J].电力建设,2013,34(8),100-104.You Hongbing,Zhao Fengxin.M7.0 earthquake in Lushan and damage cause analysis of power facilities[J].Electric Power Construction,2013,34(8):100-104(in Chinese).
[7]程永峰,朱全军,卢智成.变电站电力设施抗震措施研究现状与发展趋势[J].电网技术,2008,32(22):84-89.Cheng Yongfeng,Zhu Quanjun,Lu Zhicheng.Progress and development trend on seismic measures of electric power equipment in transformer substation[J].Power System Technology,2008,32(22):84-89(in Chinese).
[8]谢强,王亚非.软母线连接电气设备地震模拟振动台试验研究[J].中国电机工程学报,2011,31(4):112-118.Xie Qiang,Wang Yafei.Shake-table test on earthquake simulation of substation equipment interconnected by flexible bus[J].Proceedings of the CSEE,2011,31(4):112-118(in Chinese).
[9]谢强,马国梁,何畅,等.1100k V气体绝缘开关设备瓷套管抗震性能振动台试验研究[J].高电压技术,2016,42(8):2596-2604.Xie Qiang,Ma Guoliang,He Chang,et al.Shaking table test study on seismic performance of 1100k V gas insulated switchgear porcelain bushing[J].High Voltage Engineering,2016,42(8):2596-2604(in Chinese).
[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,1988,5(3):83-90.Yang Yadi,Zhang Qihao.The FEM with flexible nodel point and its application[J].Engineering Mechanics,1988,5(3):83-90.
[11]刘振林,代泽兵,卢智成.基于Weibull分布的电瓷型电气设备地震易损性分析[J].电网技术,2014,38(4):1076-1081.Liu Zhenlin,Dai Zebing,Lu Zhicheng.Weibull distribution based seismic vulnerability analysis of porcelain power equipment[J].Power System Technology,2014,38(4):1076-1081(in Chinese).
[12]Jean-Bernard Dastous,Andre Filiatrault,Jean-Robert Pierre.Estimation of displacement at interconnection points of substation equipment subjected to earthquakes[J].IEEE Transactions on Power Delivery,2004,19(2):618-628.
[13]Whittaker Andrew S,Fenves Gregory L,Gilani Amir S J.Seismic evaluation and analysis of high-voltage substation disconnect switches[J].Engineering Structures,2007,29(12):3538-3549.
[14]Mohammadi R K,Akrami V,Nikfar F.Dynamic properties of substation support structures[J].Journal of Constructional Steel Research,2012,78:173-182.
[15]杜永峰,刘彦辉,李慧.高压电气设备支架串联体系地震响应半解析法[J].计算力学学报,2010,27(2):225-231.Du Yongfeng,Liu Yanhui,Li Hui.Response of serial system of equipment and supporter under earthquake based on semi-analytical method[J].Chinese Journal of Computational Mechanics,2010,27(2):225-231(in Chinese).
[16]程永锋,卢智成,邱宁,等.特高压支柱类瓷质电气设备支架动力放大系数研究[J].高电压技术,2015,41(11):3651-3658.Cheng Yongfeng,Lu Zhicheng,Qu Ning,et al.Study on support dynamic magnification coefficient about UHVpillar type porcelain electrical equipments[J].High Voltage Engineering,2015,41(11):3651-3658(in Chinese).
[17]于金光,郝际平,解琦,等.美日中高压电气设备地震动力反应放大系数比较研究[J].土木工程学报,2010,43(S):77-80.Yu Jinguang,Hao Jiping,Xie Qi,et al.Comparative study on dynamic response magnification factors forhighvoltage electric equipment between American Japanese and Chinese[J].Journal of Civil Engineering,2010,43(S):77-80(in Chinese).
[18]程永锋,刘振林,卢智成,等.?800k V支柱复合绝缘子抗震试验研究[J].中国电力,2017,50(10):89-96.Cheng Yongfeng,Liu Zhenlin,Lu Zhicheng,et al.Experimental study on seismic performance and structural characteristics of?800k V composite post insulators[J].Electric Power,2017,50(10):89-96(in Chinese).
[19]薛渊.塔式起重机塔身刚度计算分析的高效方法[D].哈尔滨:哈尔滨工业大学,2001.Xue Yuan.An efficient method for calculating and analyzing the Rrgidity of tower body for tower crane[D].Harbin:Harbin Institute of Technology,2001(in Chinese).
[20]中华人民共和国住房和城乡建设部.电力设施抗震设计规范:GB50260-2013[S].北京:中国计划出版社,2013.Ministry of Housing and Urban-Rural Construction of the PRC.Code for design of seismic of electrical installtions:CB50260-2013[S].Beijing:China Planning Press,2013(in Chinese).