输电线路脱冰跳跃动态模型研究
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摘要
通过在单元节点上添加集中质量来模拟覆冰;用有限元模拟方法,通过施加初应变来寻找其初始构型。经过与相关文献进行比较,验证了这种方法的可行性,进而分析工程实例中的输电塔-线体系的脱冰响应。为了探究各种因素对脱冰跳跃幅值的影响,对三组模型在不同影响因素下,包括覆冰厚度、脱冰位置、输电线路长度、输电线档数等进行研究,并总结了其规律特点。相关研究能够为塔-线体系设计以及线路除冰等工程问题提供参考。
As the lifeline of the state grid power network, overhead transmission line is under the threat of ice-shedding and other natural disasters. Ice-shedding of transmission line brings some accidents like flashover, armour clamp failure, line rupture even tower collapse. This paper adopts Finite Element Method to study the ice-shedding response of transmission lines. The static equilibrium state of the conductor is achieved by applying the initial strain to the cable, then concentrated mass is added on elements to model ice on lines instead of uniform load. The method is firstly validated by comparison with existing literatures, and then used to investigate some engineering projects. Various factors including ice thickness, ice-shedding position, span length and span number are considered to summarize some general relations about the jump height of ice-shedding. The obtained results are helpful to design power transmission lines in engineering practices.
As the lifeline of the state grid power network, overhead transmission line is under the threat of ice-shedding and other natural disasters. Ice-shedding of transmission line brings some accidents like flashover, armour clamp failure, line rupture even tower collapse. This paper adopts Finite Element Method to study the ice-shedding response of transmission lines. The static equilibrium state of the conductor is achieved by applying the initial strain to the cable, then concentrated mass is added on elements to model ice on lines instead of uniform load. The method is firstly validated by comparison with existing literatures, and then used to investigate some engineering projects. Various factors including ice thickness, ice-shedding position, span length and span number are considered to summarize some general relations about the jump height of ice-shedding. The obtained results are helpful to design power transmission lines in engineering practices.
引文
[1]IRVINE H M,CAUGHEY T K.The linear theory of free vibrations of a suspended cable[J].Proceedings of the royal society A,1974,341(1626):299-315.
[2]LUONGO A,REGA G,VESTRONT F.Planar non-linear free vibrations of an elastic cable[J].International journal of non-linear mechanics,1984,19(1):39-52.
[3]BARBIERI N,MANNALA MJ,BARBIERI R,et al.Dynamical analysis of transmission line cables.Part 1—linear theory[J].Mechanical systems and signal processing,2004,18(3):659-669.
[4]JAMALEDDINE A,MCCLURE G.Simulation of ice-shedding on electrical transmission lines using adina[J].Computers and structures,1993,47(4/5):523-536.
[5]KáLMáN T,FARZANEH M,MCCLUREG.Numerical analysis of the dynamic effects of shock-load-induced ice shedding on overhead ground wires[J].Computers&structures,2007,85(7/8):375-384.
[6]MORGAN V T,SWIFT D A.Jump height of overhead-line conductors after the sudden release of ice loads[J].Proceedings of the institution of electrical engineers,1964,111(10):1736-1746.
[7]FEKR M R,MCCLURE G.Numerical modelling of the dynamic response of ice-shedding on electrical transmission lines[J].Atmospheric research,1998,46(1):1-110.
[8]MCCLURE G,LAPOINTE M.Modeling the structural dynamic response of overhead transmission lines[J].Computers&structures,2003,81(8/9/10/11):825-834.
[9]MIRSHAFIEI F,MCCLURE G,FARZANEH M.Modelling the dynamic response of iced transmission lines subjected to cable rupture and ice shedding[J].Power delivery IEEE transactions on,2013,28(2):948-954.
[10]谢增,刘吉轩,刘超群,等.覆冰输电线路分裂导线舞动的建模与数值模拟[J].西安交通大学学报,2012,46(7):69-74.(XIE Zeng,LIU Jixuan,LIU Chaoqun,et al.Modelling and simulation for icedbundle conductor galloping[J].Journal of Xi’an jiaotong university,2012,46(7):69-74(in Chinese)).
[11]YAN B,CHEN K,GUO Y,et al.Numerical simulation study on jump height of iced transmission lines after ice shedding[J].IEEE transactions on power,2013,28(1):216-225.
[12]LIU X H,YAN B,ZHANG H Y.Nonlinear numerical simulation method for galloping of iced conductor[J].Applied mathematics and mechanics,2009,30(4):489-501.
[13]MENG X,HOU L,WANG L,et al.Oscillation of conductors following ice-shedding on UHV transmission lines[J].Mechanical systems and signal processing,2012,30(7):393-406.
[14]MENG X,WANG L,HOU L,et al.Dynamic characteristic of ice-shedding on UHV overhead transmission lines[J].Cold regions science and technology,2011,66(1):44-52.
[15]李新民,朱宽军,刘彬.典型覆冰导线空气动力学特性数值和试验模拟[J].高电压技术,2014,40(2):427-433.(LI Xinmin,ZHU Kuanjun,LIU Bin.Numerical and experimental simulation of aerodynamic characteristics of typical iced[J].High voltage engineering,2014,40(2):427-433(in Chinese)).
[2]LUONGO A,REGA G,VESTRONT F.Planar non-linear free vibrations of an elastic cable[J].International journal of non-linear mechanics,1984,19(1):39-52.
[3]BARBIERI N,MANNALA MJ,BARBIERI R,et al.Dynamical analysis of transmission line cables.Part 1—linear theory[J].Mechanical systems and signal processing,2004,18(3):659-669.
[4]JAMALEDDINE A,MCCLURE G.Simulation of ice-shedding on electrical transmission lines using adina[J].Computers and structures,1993,47(4/5):523-536.
[5]KáLMáN T,FARZANEH M,MCCLUREG.Numerical analysis of the dynamic effects of shock-load-induced ice shedding on overhead ground wires[J].Computers&structures,2007,85(7/8):375-384.
[6]MORGAN V T,SWIFT D A.Jump height of overhead-line conductors after the sudden release of ice loads[J].Proceedings of the institution of electrical engineers,1964,111(10):1736-1746.
[7]FEKR M R,MCCLURE G.Numerical modelling of the dynamic response of ice-shedding on electrical transmission lines[J].Atmospheric research,1998,46(1):1-110.
[8]MCCLURE G,LAPOINTE M.Modeling the structural dynamic response of overhead transmission lines[J].Computers&structures,2003,81(8/9/10/11):825-834.
[9]MIRSHAFIEI F,MCCLURE G,FARZANEH M.Modelling the dynamic response of iced transmission lines subjected to cable rupture and ice shedding[J].Power delivery IEEE transactions on,2013,28(2):948-954.
[10]谢增,刘吉轩,刘超群,等.覆冰输电线路分裂导线舞动的建模与数值模拟[J].西安交通大学学报,2012,46(7):69-74.(XIE Zeng,LIU Jixuan,LIU Chaoqun,et al.Modelling and simulation for icedbundle conductor galloping[J].Journal of Xi’an jiaotong university,2012,46(7):69-74(in Chinese)).
[11]YAN B,CHEN K,GUO Y,et al.Numerical simulation study on jump height of iced transmission lines after ice shedding[J].IEEE transactions on power,2013,28(1):216-225.
[12]LIU X H,YAN B,ZHANG H Y.Nonlinear numerical simulation method for galloping of iced conductor[J].Applied mathematics and mechanics,2009,30(4):489-501.
[13]MENG X,HOU L,WANG L,et al.Oscillation of conductors following ice-shedding on UHV transmission lines[J].Mechanical systems and signal processing,2012,30(7):393-406.
[14]MENG X,WANG L,HOU L,et al.Dynamic characteristic of ice-shedding on UHV overhead transmission lines[J].Cold regions science and technology,2011,66(1):44-52.
[15]李新民,朱宽军,刘彬.典型覆冰导线空气动力学特性数值和试验模拟[J].高电压技术,2014,40(2):427-433.(LI Xinmin,ZHU Kuanjun,LIU Bin.Numerical and experimental simulation of aerodynamic characteristics of typical iced[J].High voltage engineering,2014,40(2):427-433(in Chinese)).