架空导线脱冰振荡机理及仿真研究
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摘要
架空导线的脱冰振荡是覆冰导线在外界环境影响下产生脱冰时发生的一种振荡,这种振荡可能是一种低频小振幅振荡,也可能是一种低频大振幅振荡。如果振荡振幅达到一定程度,一次持续时间过长,就会容易引起相间闪络、金具损坏,造成线路跳闸、停电或引起烧伤导线、拉倒杆塔、导线折断等严重事故,从而造成重大经济损失。
本文建立架空导线的离散索杆模型,推导出导线振荡方程;编写了MATLAB程序,对实例进行分析与仿真,验证了本文研究方法的正确性;针对典型架空导线,研究脱冰振荡过程,并对脱冰振荡的规律、影响因素进行了分析讨论。
The surge of overhead wires caused by ice- shed is a kind of surge, which happens when the ice sheds from the wires because of the environment’s influence. It may be a low frequency, small or large amplitude kind of surge. If the amplitude have achieved a certain extent, Phase flashover and damage to the fitting and supporting structures will happen easily when lasting too long for one time, which makes circuiting cut, wires burned and broken, towers fell and any other casualties. As a result, they bring a great loss of the economy.
In this dissertation, the surge equation of overhead wires is derivate by building a disperse cable model of the overhead wires. At the same time, a program of MATLAB is compiled to analyze and simulate the examples, which validates the correctness of the research method used in the dissertation. Then, the process of surge is studied for some type overhead wires, and the rule, influence factors are analyzed.
本文建立架空导线的离散索杆模型,推导出导线振荡方程;编写了MATLAB程序,对实例进行分析与仿真,验证了本文研究方法的正确性;针对典型架空导线,研究脱冰振荡过程,并对脱冰振荡的规律、影响因素进行了分析讨论。
The surge of overhead wires caused by ice- shed is a kind of surge, which happens when the ice sheds from the wires because of the environment’s influence. It may be a low frequency, small or large amplitude kind of surge. If the amplitude have achieved a certain extent, Phase flashover and damage to the fitting and supporting structures will happen easily when lasting too long for one time, which makes circuiting cut, wires burned and broken, towers fell and any other casualties. As a result, they bring a great loss of the economy.
In this dissertation, the surge equation of overhead wires is derivate by building a disperse cable model of the overhead wires. At the same time, a program of MATLAB is compiled to analyze and simulate the examples, which validates the correctness of the research method used in the dissertation. Then, the process of surge is studied for some type overhead wires, and the rule, influence factors are analyzed.
引文
[1]郭应龙,李国兴,尤传永.输电线路舞动.北京:中国电力出版社,2003,35～58
[2]周迪,黄素逸. 覆冰导线风动脱冰研究.长沙电力学院学报(自然科学版),2002,17(2)
[3]蒋兴良,易辉.输电线路覆冰及防护.北京:中国电力出版社,2002,25～30
[4]户川隼人.振动分析的有限元法.北京:地震出版社,1985,60～66
[5]刘卫国,陈昭平,张颖.MATLAB 程序设计与应用.北京:高等教育出版社,2002
[6]精英科技,郝红伟.MATLAB 6 实例教程.北京:中国电力出版社,2001
[7]J.P.Den Hartog.Transmission Line Vibration due to sleet.T.AIEE,1932,51:1074～1086
[8]J.P.Denhartog.Mechanical vibration.New York:McGraw-Hill,1956
[9]王少华,蒋兴良,孙才新.输电线路导线舞动的国内外研究现状[J].高电压技术,2005,31(10)
[10]邵天晓.架空送电线路的电线力学计算.北京:中国电力出版社,2003,59～99
[11]黄经亚.我国架空输电线路电线舞动的分析及对策的探讨.武汉:湖北省电力试验研究所,1987
[12]黄经亚.电力线路导线舞动与防护.湖北:湖北省电力工业局,1993
[13]何隆华.高压输电线路导线舞动.贵州电力技术.1993,(1):26～36
[14]廖祥林.导线覆冰性质分类和密度浅析.EPC,15(9):17～25
[15]赵作利.导线舞动因素分析.东北电力技术,1994,(9):12～15
[16]刘连睿.我国高压架空线路舞动情况及分析.华北电力技术,1989,(9):40～43
[17]马建国.湖北省电网导线舞动区域划分.电力建设,1999,20(5):39～40
[18]关根志.500kV 输电线路中的导线舞动.电气时代,1990,(12):2
[19]蔡廷湘.输电线舞动新机理研究.中国电力,1998,31(10):62～66
[20]聂建国,陈必磊,肖建春.悬链线索单元算法的改进.力学与实践,2003,25:29～30
[21]Jayaraman HB,Knudson WC.A curved element for the analysis of cable struccures.Comput Struct,1981,14:325～333.
[22]谭浩强.C 程序设计.北京:清华大学出版社,1999
[23]清源计算机工作室.Visual C++ 6.0 开发宝典.北京:机械工业出版社,1999
[24]Richard C.Leinecher.Visual C++ 5 开发人员参考手册. 北京:机械工业出版社,1998
[25]Peyrot AH,Goulois AM. Analysis of flexible transmission lines. J Struc Div ASCE,1978,104:763～779
[26]沈世钊,徐崇宝,着臣.悬索结构设计.北京:中国建筑工业出版社,1997.
[27]Irvine HM. Cable Structures. Cambrige,MA The MIT Press,1981
[28]张其林,张莉,周岱等.连续长索非线性静动力分析的样条单元.工程力学,1999,16(1):115～122
[30]精英科技,郝红伟.MATLAB 6 实例教程.北京:中国电力出版社,2001
[31]朱春喜,吴佳鲜.DirectX 5/6 高级多媒体程序开发.北京:北京航空航天大学出版社,1999
[32] Jones K F,Coupled Vertical and Horizontal Galloping,J.Eng.Mech,1992,118(1):92～107
[33]Y.M.Desai,P.Yu,N.Popplewell,A.H.shah,Finite element modeling of transmission line galloping. Computers & Structures 1995,57(3):407～420
[34]宋天霞,邹时智,杨文兵.非线性结构有限元计算.武汉:华中理工大学出版社,1996
[35]孙晓光,安利强.架空导线的振动分析及计算机仿真,电瓷避雷器,2007,217(3):17～19
[36]彭芳麟.数学物理方程的 MATLAB 解法与可视化.北京:清华大学出版社.2004
[37]R.K.Mathur,A.H.Shah.P.G.S.Trainor and N. Popplewell,Dynamics of a guyed transmission tower system.Trans.IEEE Power Deliv.1987,2(3):908～916
[38]李万平,杨新祥,张立志,覆冰导线群的静气动力特性,空气动力学学报,1995,13(4):427～434
[39]冀振国.牛顿法在架空导线受力分析中的应用,电力学报,1996,11(3):67～72
[40]A.Jamaledine,G.Mcclure.J.Rousselet,etal.Simulation of ice-shedding onelectrical transmission lines using adind. Computers & Structures,1993,47(4,5):523～536
[41]N.G.&.K.C.S. An Investigation of geometric non-linear formulation for 3D beam element,Int.J,Non-linear Mechaniics.1990,25(6),643～662
[42]A.F.El-Bassiouny,Response of three-degree-of-freedom system with cubic non-lineartites to harmonic excitation , Applied Mathematics and computation,1999,104:65～84
[43]周振山.高压架空送电线路机械计算.北京:水利电力出版社,1984
[44]范钦珊,官飞,赵坤民,吴宏宇.覆冰导线舞动的机理分析及动态模拟.清华大学学报,1995,35(2):34～40
[45]于俊清,郭应龙,金晔.虚拟现实技术及其在导线舞动模拟中的应用.计算机应用,2001,21(2):6～7
[46]Charles Wright.Visual C++程序员实用大全.北京:中国水利水电出版社, 2002
[47]褚亦清,李翠英.非线性振动分析.北京:北京理工大学出版社,1996
[48]汪成为,高文,王行仁.灵境(虚拟现实)技术的理论实现及应用.北京:清华大学出版社,1996
[49]Renaud Keutgen,Jean-Louis Lilien,Teruhiro Yukino .Transmission line toesional stiffness. Confrontation of field-tests line and finite element simulations IEEE Trans on PWD,1999,14(2):567～578
[50]Phillips Mahoney. Designer Simulations. Computer Graphics World,2000(8):45～49
[51]冯允成,杜端甫,梁叔平. 系统仿真及其应用. 北京:机械工业出版社,1992:105～112
[52] W.H.Hengold and J.J.Russell. Equilibrium and natural frequencies of cable structures(a nonlinear finite element approach).Compute Structures 6.267-271(1976).
[53]龙小乐,鲍务均,郭应龙,吴庆鸣.输电导线覆冰研究.武汉水利电力大学学报,1996 ,29(10) :102～107
[54]马建国等.高压架空线路导线微风振动的监测,湖北电力,2000,24(12):17～19
[55]蒋兴良,孙才新,顾乐观,陆宠惠.三峡地区导线覆冰的特性及雾淞覆冰模型.重庆大学学报,1998,21(3) :16～19
[56]黄进,段宝岩.一种柔性悬索的建模与控制.西安电子科技大学学报(自然科学版),2006 ,33(1) :37～38
[2]周迪,黄素逸. 覆冰导线风动脱冰研究.长沙电力学院学报(自然科学版),2002,17(2)
[3]蒋兴良,易辉.输电线路覆冰及防护.北京:中国电力出版社,2002,25～30
[4]户川隼人.振动分析的有限元法.北京:地震出版社,1985,60～66
[5]刘卫国,陈昭平,张颖.MATLAB 程序设计与应用.北京:高等教育出版社,2002
[6]精英科技,郝红伟.MATLAB 6 实例教程.北京:中国电力出版社,2001
[7]J.P.Den Hartog.Transmission Line Vibration due to sleet.T.AIEE,1932,51:1074～1086
[8]J.P.Denhartog.Mechanical vibration.New York:McGraw-Hill,1956
[9]王少华,蒋兴良,孙才新.输电线路导线舞动的国内外研究现状[J].高电压技术,2005,31(10)
[10]邵天晓.架空送电线路的电线力学计算.北京:中国电力出版社,2003,59～99
[11]黄经亚.我国架空输电线路电线舞动的分析及对策的探讨.武汉:湖北省电力试验研究所,1987
[12]黄经亚.电力线路导线舞动与防护.湖北:湖北省电力工业局,1993
[13]何隆华.高压输电线路导线舞动.贵州电力技术.1993,(1):26～36
[14]廖祥林.导线覆冰性质分类和密度浅析.EPC,15(9):17～25
[15]赵作利.导线舞动因素分析.东北电力技术,1994,(9):12～15
[16]刘连睿.我国高压架空线路舞动情况及分析.华北电力技术,1989,(9):40～43
[17]马建国.湖北省电网导线舞动区域划分.电力建设,1999,20(5):39～40
[18]关根志.500kV 输电线路中的导线舞动.电气时代,1990,(12):2
[19]蔡廷湘.输电线舞动新机理研究.中国电力,1998,31(10):62～66
[20]聂建国,陈必磊,肖建春.悬链线索单元算法的改进.力学与实践,2003,25:29～30
[21]Jayaraman HB,Knudson WC.A curved element for the analysis of cable struccures.Comput Struct,1981,14:325～333.
[22]谭浩强.C 程序设计.北京:清华大学出版社,1999
[23]清源计算机工作室.Visual C++ 6.0 开发宝典.北京:机械工业出版社,1999
[24]Richard C.Leinecher.Visual C++ 5 开发人员参考手册. 北京:机械工业出版社,1998
[25]Peyrot AH,Goulois AM. Analysis of flexible transmission lines. J Struc Div ASCE,1978,104:763～779
[26]沈世钊,徐崇宝,着臣.悬索结构设计.北京:中国建筑工业出版社,1997.
[27]Irvine HM. Cable Structures. Cambrige,MA The MIT Press,1981
[28]张其林,张莉,周岱等.连续长索非线性静动力分析的样条单元.工程力学,1999,16(1):115～122
[30]精英科技,郝红伟.MATLAB 6 实例教程.北京:中国电力出版社,2001
[31]朱春喜,吴佳鲜.DirectX 5/6 高级多媒体程序开发.北京:北京航空航天大学出版社,1999
[32] Jones K F,Coupled Vertical and Horizontal Galloping,J.Eng.Mech,1992,118(1):92～107
[33]Y.M.Desai,P.Yu,N.Popplewell,A.H.shah,Finite element modeling of transmission line galloping. Computers & Structures 1995,57(3):407～420
[34]宋天霞,邹时智,杨文兵.非线性结构有限元计算.武汉:华中理工大学出版社,1996
[35]孙晓光,安利强.架空导线的振动分析及计算机仿真,电瓷避雷器,2007,217(3):17～19
[36]彭芳麟.数学物理方程的 MATLAB 解法与可视化.北京:清华大学出版社.2004
[37]R.K.Mathur,A.H.Shah.P.G.S.Trainor and N. Popplewell,Dynamics of a guyed transmission tower system.Trans.IEEE Power Deliv.1987,2(3):908～916
[38]李万平,杨新祥,张立志,覆冰导线群的静气动力特性,空气动力学学报,1995,13(4):427～434
[39]冀振国.牛顿法在架空导线受力分析中的应用,电力学报,1996,11(3):67～72
[40]A.Jamaledine,G.Mcclure.J.Rousselet,etal.Simulation of ice-shedding onelectrical transmission lines using adind. Computers & Structures,1993,47(4,5):523～536
[41]N.G.&.K.C.S. An Investigation of geometric non-linear formulation for 3D beam element,Int.J,Non-linear Mechaniics.1990,25(6),643～662
[42]A.F.El-Bassiouny,Response of three-degree-of-freedom system with cubic non-lineartites to harmonic excitation , Applied Mathematics and computation,1999,104:65～84
[43]周振山.高压架空送电线路机械计算.北京:水利电力出版社,1984
[44]范钦珊,官飞,赵坤民,吴宏宇.覆冰导线舞动的机理分析及动态模拟.清华大学学报,1995,35(2):34～40
[45]于俊清,郭应龙,金晔.虚拟现实技术及其在导线舞动模拟中的应用.计算机应用,2001,21(2):6～7
[46]Charles Wright.Visual C++程序员实用大全.北京:中国水利水电出版社, 2002
[47]褚亦清,李翠英.非线性振动分析.北京:北京理工大学出版社,1996
[48]汪成为,高文,王行仁.灵境(虚拟现实)技术的理论实现及应用.北京:清华大学出版社,1996
[49]Renaud Keutgen,Jean-Louis Lilien,Teruhiro Yukino .Transmission line toesional stiffness. Confrontation of field-tests line and finite element simulations IEEE Trans on PWD,1999,14(2):567～578
[50]Phillips Mahoney. Designer Simulations. Computer Graphics World,2000(8):45～49
[51]冯允成,杜端甫,梁叔平. 系统仿真及其应用. 北京:机械工业出版社,1992:105～112
[52] W.H.Hengold and J.J.Russell. Equilibrium and natural frequencies of cable structures(a nonlinear finite element approach).Compute Structures 6.267-271(1976).
[53]龙小乐,鲍务均,郭应龙,吴庆鸣.输电导线覆冰研究.武汉水利电力大学学报,1996 ,29(10) :102～107
[54]马建国等.高压架空线路导线微风振动的监测,湖北电力,2000,24(12):17～19
[55]蒋兴良,孙才新,顾乐观,陆宠惠.三峡地区导线覆冰的特性及雾淞覆冰模型.重庆大学学报,1998,21(3) :16～19
[56]黄进,段宝岩.一种柔性悬索的建模与控制.西安电子科技大学学报(自然科学版),2006 ,33(1) :37～38