三档分裂导线的静力求解和有限元模态分析
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摘要
输电线路连续档分裂导线静平衡构形和固有频率的准确计算,对于线路设计、导线结构的动特性分析以及舞动分析计算都是很重要的。采用柔索模型,应用Hamilton原理推导了导线作大幅运动的运动微分方程,并得到了导线静态构形的计算公式。结合间隔棒对导线的约束关系,推导建立了基于位移增量有限元模型的单元质量和刚度矩阵;并应用获得的公式体系对实际三档分裂导线进行了静态构形和自由振动计算,计算实例证明了所用方法的可靠性及有效性。
It is important to calculate accurately the static configuration and natural frequency of bundle conductor of multi-span transmission lines for the line design,dynamic behavior determination and galloping prediction.There are no effective static analysis methods for such conductor structures.Based on flexible cable model,the governing differential equation for conductor large amplitude motion and the calculation formula for static configuration were derived by use of Hamilton principle.And on the basis of the incremental displacement finite element model,the mass matrix and stiffness matrix were obtained in consideration of the constraining conditions between conductors and spacers.In the end,the numerical results of static computation and calculation of free vibration for a triple-span power line structure with four bundle conductors model show the efficiency of the method in this paper.The computational results indicate that the method is effective and reliable.
It is important to calculate accurately the static configuration and natural frequency of bundle conductor of multi-span transmission lines for the line design,dynamic behavior determination and galloping prediction.There are no effective static analysis methods for such conductor structures.Based on flexible cable model,the governing differential equation for conductor large amplitude motion and the calculation formula for static configuration were derived by use of Hamilton principle.And on the basis of the incremental displacement finite element model,the mass matrix and stiffness matrix were obtained in consideration of the constraining conditions between conductors and spacers.In the end,the numerical results of static computation and calculation of free vibration for a triple-span power line structure with four bundle conductors model show the efficiency of the method in this paper.The computational results indicate that the method is effective and reliable.
引文
[1]朱宽军,尤传永,赵渊如.输电线路舞动的研究与治理[J].电力建设,2004,25(12):18-21.Zhu Kuanjun,You Chuanyong,Zhao Yuanru.Study andcontrol on galloping of transmission lines[J].ElectricPower Construction,2004,25(12):18-21(in Chinese].
[2]郭应龙,李国兴,尤传永.输电线路舞动[M].北京:中国电力出版社,2002:1-15.Guo Yinglong,Li Guoxing,You Chuanyong.Gallopingof the transmission line[M].Beijing:China Electric PowerPress,2002:1-15(in Chinese).
[3]朱宽军,刘超群,任西春,等.特高压输电线路放舞动研究[J].高电压技术,2007,33(11):61-65.Zhu Kuanjun,Liu Chaoqun,Ren Xichun,et a1.Researchon anti-galloping of UHV transmission line[J].HighVoltage Engineering,2007,33(11):61-65(in Chinese).
[4]丁锡广,陶文秋.减轻送电线路导线舞动灾害的措施[J].高电压技术,2004,30(2):54-55.Ding Xiguang,Tao Wenqiu.Measures for reduction ofdamage caused by fluttered power transmission wires[J].High Voltage Engineering,2004,30(2):54-55(inChinese).
[5]赵作利.输电线路导线舞动及其防治[J].高电压技术,2004,30(2):57-58.Zhao Zuoli.Galloping of conductor of transmission lineand precaution[J].High Voltage Engineering,2004,30(2):57-58(in Chinese).
[6]Simpson A.Determination of the inplane naturalfrequencies of multispan transmission lines by atransfer-matrix method[J].Proceedings of IEE,1966,113(5):870-878.
[7]Desai Y M,Yu P,Shah A H,et al.Perturbation basedfinite element analyses of transmission line galloping[J].Sound and Vibration,1996,191(4):469-489.
[8]刘小会,严波,张宏雁,等.分裂导线舞动非线性有限元分析方法[J].振动与冲击,2010,29(6):129-133.Liu Xiaohui,Yan Bo,Zhang Hongyan,et al.Nonlinearfinite element analysis for galloping of iced bundledconductors[J].Journal of Vibration and Shock,2010,29(6):129-133(in Chinese).
[9]李文蕴,严波,刘小会.覆冰三分裂导线舞动的数值模拟方法[J].应用力学学报,2012,29(1):9-13.Li Wenyun,Yan Bo,Liu Xiaohui.A numerical simulationmethod for galloping of iced triple bundle conductor[J].Chinese Journal of Applied mechanics,2012,29(1):9-13(in Chinese).
[10]李黎,陈元坤,夏正春,等.覆冰导线舞动的非线性数值仿真研究[J].振动与冲击,2011,30(8):107-110.Li Li,Chen Yuankun,Xia Zhengchun,et al.Nonlinearnumerical simulation study of iced conductorgalloping[J].Journal of Vibration and Shock,2011,30(8):107-110(in Chinese).
[11]李黎,曹化锦,罗先国,等.输电塔-线体系的舞动及风振控制[J].高压电技术,2011,37(5):1253-1259.Li Li,Chao Huajin,Luo Xianguo,et al.Galloping andwind-induced vibration control on transmission tower-linesystem[J].High Voltage Engeering,2011,37(5):1253-1259(in Chinese).
[12]胡景,严波,张宏雁,等.覆冰导线舞动仿真分析[J].重庆大学学报,2010,33(3):76-81.Hu Jing,Yan Bo,Zhang Hongyan,et al.Numericalsimulation on galloping of iced conductors[J].Journal ofChongqing University,2010,33(3):76-81(in Chinese).
[13]晏致涛,李正良,杨振华.基于结点6自由度的输电线舞动有限元分析[J].振动与冲击,2011,30(8):112-117.Yan Zhitao,Li Zhengliang,Yang Zhenhua.Finite elementmodeling of transmission line galloping based on 6-DOFsnodes[J].Journal of Vibration and Shock,2011,30(8):112-117(in Chinese).
[14]郝淑英,周坤涛,刘君,等.考虑多种因素的覆冰输电线舞动的有限元分析[J].天津理工大学学报,2010,26(6):7-11.Hao Shuying,Zhou Kuntao,Liu Jun,et al.Finit elementanalysis of iced conductor galloping involvingmulti-factors[J].Journal of Tianjin University ofTechnology,2010,26(6):7-11(in Chinese).
[15]王丽新,杨文兵,杨新华.输电线路舞动的有限元分析[J].华中科技大学学报:城市科学版,2004,21(1):76-80.Wang Lixin,Yang Wenbing,Yang Xinhua.Finite elementanalysis for galloping process of transmission lines[J].Journal of Huazhong University of Science andTechnology:Urban Science Edition,2004,21(1):76-80(inChinese).
[16]Max I H.Cable structure[M].Cambridge:The MassaChusetts Institute of Technology Press,1981:1-20.
[17]Luongo A,Rega G,Vestroni F.Planar nonlinear freevibration of an elastic cable[J].Journal of NonlinearMechanics,1984,19(1):39-52.
[18]王珂晟,唐国金.架空电线在悬链状态下的非线性振动响应分析[J].振动与冲击,2003,22(2):6972.Wang Kesheng,Tang Guojin.Response analysis ofnonlinear vibration of overhead power line undersuspension chain state[J].Journal of Vibration and Shock,2003,22(2):69-72(in Chinese).
[19]梁枢果,朱继华,王力争.大跨越输电塔线体系动力特性分析[J].地震工程与工程振动,2003,23(6):6369.Liang Shuguo,Zhu Jihua,Wang Lizheng.Analysis ofdynamic characters of electrical transmission tower-linesystem with a big span[J].Earthquake Engineering andEngineering Vibration,2003,23(6):63-69(in Chinese).
[20]何锃,赵高煜,李上明.大跨越分裂导线的静力求解[J].中国电机工程学报,2001,21(11):34-37.He Zeng,Zhao Gaoyu,Li Shangming.Static analysis andcomputation of long-span multi-conductor transmissionlines[J].Proceedings of the CSEE,2001,21(11):34-37(inChinese).
[2]郭应龙,李国兴,尤传永.输电线路舞动[M].北京:中国电力出版社,2002:1-15.Guo Yinglong,Li Guoxing,You Chuanyong.Gallopingof the transmission line[M].Beijing:China Electric PowerPress,2002:1-15(in Chinese).
[3]朱宽军,刘超群,任西春,等.特高压输电线路放舞动研究[J].高电压技术,2007,33(11):61-65.Zhu Kuanjun,Liu Chaoqun,Ren Xichun,et a1.Researchon anti-galloping of UHV transmission line[J].HighVoltage Engineering,2007,33(11):61-65(in Chinese).
[4]丁锡广,陶文秋.减轻送电线路导线舞动灾害的措施[J].高电压技术,2004,30(2):54-55.Ding Xiguang,Tao Wenqiu.Measures for reduction ofdamage caused by fluttered power transmission wires[J].High Voltage Engineering,2004,30(2):54-55(inChinese).
[5]赵作利.输电线路导线舞动及其防治[J].高电压技术,2004,30(2):57-58.Zhao Zuoli.Galloping of conductor of transmission lineand precaution[J].High Voltage Engineering,2004,30(2):57-58(in Chinese).
[6]Simpson A.Determination of the inplane naturalfrequencies of multispan transmission lines by atransfer-matrix method[J].Proceedings of IEE,1966,113(5):870-878.
[7]Desai Y M,Yu P,Shah A H,et al.Perturbation basedfinite element analyses of transmission line galloping[J].Sound and Vibration,1996,191(4):469-489.
[8]刘小会,严波,张宏雁,等.分裂导线舞动非线性有限元分析方法[J].振动与冲击,2010,29(6):129-133.Liu Xiaohui,Yan Bo,Zhang Hongyan,et al.Nonlinearfinite element analysis for galloping of iced bundledconductors[J].Journal of Vibration and Shock,2010,29(6):129-133(in Chinese).
[9]李文蕴,严波,刘小会.覆冰三分裂导线舞动的数值模拟方法[J].应用力学学报,2012,29(1):9-13.Li Wenyun,Yan Bo,Liu Xiaohui.A numerical simulationmethod for galloping of iced triple bundle conductor[J].Chinese Journal of Applied mechanics,2012,29(1):9-13(in Chinese).
[10]李黎,陈元坤,夏正春,等.覆冰导线舞动的非线性数值仿真研究[J].振动与冲击,2011,30(8):107-110.Li Li,Chen Yuankun,Xia Zhengchun,et al.Nonlinearnumerical simulation study of iced conductorgalloping[J].Journal of Vibration and Shock,2011,30(8):107-110(in Chinese).
[11]李黎,曹化锦,罗先国,等.输电塔-线体系的舞动及风振控制[J].高压电技术,2011,37(5):1253-1259.Li Li,Chao Huajin,Luo Xianguo,et al.Galloping andwind-induced vibration control on transmission tower-linesystem[J].High Voltage Engeering,2011,37(5):1253-1259(in Chinese).
[12]胡景,严波,张宏雁,等.覆冰导线舞动仿真分析[J].重庆大学学报,2010,33(3):76-81.Hu Jing,Yan Bo,Zhang Hongyan,et al.Numericalsimulation on galloping of iced conductors[J].Journal ofChongqing University,2010,33(3):76-81(in Chinese).
[13]晏致涛,李正良,杨振华.基于结点6自由度的输电线舞动有限元分析[J].振动与冲击,2011,30(8):112-117.Yan Zhitao,Li Zhengliang,Yang Zhenhua.Finite elementmodeling of transmission line galloping based on 6-DOFsnodes[J].Journal of Vibration and Shock,2011,30(8):112-117(in Chinese).
[14]郝淑英,周坤涛,刘君,等.考虑多种因素的覆冰输电线舞动的有限元分析[J].天津理工大学学报,2010,26(6):7-11.Hao Shuying,Zhou Kuntao,Liu Jun,et al.Finit elementanalysis of iced conductor galloping involvingmulti-factors[J].Journal of Tianjin University ofTechnology,2010,26(6):7-11(in Chinese).
[15]王丽新,杨文兵,杨新华.输电线路舞动的有限元分析[J].华中科技大学学报:城市科学版,2004,21(1):76-80.Wang Lixin,Yang Wenbing,Yang Xinhua.Finite elementanalysis for galloping process of transmission lines[J].Journal of Huazhong University of Science andTechnology:Urban Science Edition,2004,21(1):76-80(inChinese).
[16]Max I H.Cable structure[M].Cambridge:The MassaChusetts Institute of Technology Press,1981:1-20.
[17]Luongo A,Rega G,Vestroni F.Planar nonlinear freevibration of an elastic cable[J].Journal of NonlinearMechanics,1984,19(1):39-52.
[18]王珂晟,唐国金.架空电线在悬链状态下的非线性振动响应分析[J].振动与冲击,2003,22(2):6972.Wang Kesheng,Tang Guojin.Response analysis ofnonlinear vibration of overhead power line undersuspension chain state[J].Journal of Vibration and Shock,2003,22(2):69-72(in Chinese).
[19]梁枢果,朱继华,王力争.大跨越输电塔线体系动力特性分析[J].地震工程与工程振动,2003,23(6):6369.Liang Shuguo,Zhu Jihua,Wang Lizheng.Analysis ofdynamic characters of electrical transmission tower-linesystem with a big span[J].Earthquake Engineering andEngineering Vibration,2003,23(6):63-69(in Chinese).
[20]何锃,赵高煜,李上明.大跨越分裂导线的静力求解[J].中国电机工程学报,2001,21(11):34-37.He Zeng,Zhao Gaoyu,Li Shangming.Static analysis andcomputation of long-span multi-conductor transmissionlines[J].Proceedings of the CSEE,2001,21(11):34-37(inChinese).
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