特高压架空输电线微风振动影响因素分析
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摘要
为预防微风振动对输电线路的破坏、有别于传统的能量平衡法,研究了微风振动的半解析解。通过拉格朗日方程导出输电线的振动方程,利用风能输入函数构造了一种新的微风激励力模型,使用模态叠加法推导了输电线微风振动的半解析解,并根据振幅和曲率的关系得到了输电线动弯应变幅值沿输电线的分布规律。以1 000 kV交流特高压输电线路工程为例,通过对比计算,半解析解与传统的能量平衡法结果基本吻合。利用半解析解分析了微风振动的影响因素,为微风振动防护分析奠定基础。
Differing from the traditional energy balance method(EBM),the aeolian vibration has been researched by the semi-analytical solution.First,the vibration equation of the conductor was obtained by Lagrangian's equations.Second,a new aero-vibration force induced by shed vortex had been educed by wind power equivalent principle,and this force has the capability to account for the aero-vibration distribution and the wind power input which had been obtained in laboratory.Third,the displacement amplitude of conductor could be obtained based on the orthogonal property of the principal modes mathematically,and then semi-analytical solution could be computed by iterative methods.In addition,the distribution of dynamic bending strain along the conductor has been obtained.Taking 1000kV UHV transmission conductors as an example,the conductor was computed by the semi-analytical solution.Compared with the results which were computed by EBM,the semi-analytical solution is effective for aero-vibration analyses.In addition,influences of different factors,for instance,the tensile force,the suspension height,the physiognomy of pass through,span and the numbers of the sub conductors,had been analyzed by this method.
Differing from the traditional energy balance method(EBM),the aeolian vibration has been researched by the semi-analytical solution.First,the vibration equation of the conductor was obtained by Lagrangian's equations.Second,a new aero-vibration force induced by shed vortex had been educed by wind power equivalent principle,and this force has the capability to account for the aero-vibration distribution and the wind power input which had been obtained in laboratory.Third,the displacement amplitude of conductor could be obtained based on the orthogonal property of the principal modes mathematically,and then semi-analytical solution could be computed by iterative methods.In addition,the distribution of dynamic bending strain along the conductor has been obtained.Taking 1000kV UHV transmission conductors as an example,the conductor was computed by the semi-analytical solution.Compared with the results which were computed by EBM,the semi-analytical solution is effective for aero-vibration analyses.In addition,influences of different factors,for instance,the tensile force,the suspension height,the physiognomy of pass through,span and the numbers of the sub conductors,had been analyzed by this method.
引文
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[14]Diana G,Falco M.On The forces Transmitted to aVibrating Cylinder by a Blowing Fluid[J].Meccani-ca,1971,6(1):9-22
[15]铁摩辛柯S.工程中的振动问题[M].胡人礼译.北京:人民铁道出版社,1978.
[2]张兴旺.架空线路的振动分析及防振措施综述[J].南昌水专学报,1994,13(1):51-55
[3]朱文法,朱根宝.微风振动和防振对策[J].电力金具,1993(1):6-10,26
[4]冯薇.全介质自承式光缆(ADSS)微风振动防振计算与仿真[D].保定:华北电力大学,2004.
[5]郑玉琪.架空输电线微风振动[M].北京:中国水利水电出版社,1987.
[6]Biggs John M.结构动力学[M].姚玲森,程翔云译.北京:人民交通出版社,1982.
[7]Claren R,Diana G.Mathematical Analysis of Trans-mission Line Vibration[J].IEEE Transactions onPower Apparatus and Systems,1969,PAS-88(12):1 741-1 771
[8]王松平,陈笃.均匀和风作用下输电线振动分析[J].武汉汽车工业大学学报,1997,19(3):70-74
[9]孔德怡,李黎,龙晓鸿,等.特高压架空输电线微风振动有限元分析[J].振动与冲击,2007,26(8):64-67
[10]Dhotarad M S,Ganesan N,Rao B V.TransmissionLine Vibrations[J].Journal of Sound and Vibration,1978,60(2):217-237
[11]谢昌举,张正均,李敏.浔江大跨越输电线微风振动消振设计试验研究及现场测量[J].世界地震工程,2003,19(2):82-86
[12]Ervik M,Berg A,Boelle A,et al.Report on AeolianVibration[J].Electra,1989(124):40-77
[13]邵天晓.架空送电线路的电线力学计算[M].北京:中国电力出版社,2003.
[14]Diana G,Falco M.On The forces Transmitted to aVibrating Cylinder by a Blowing Fluid[J].Meccani-ca,1971,6(1):9-22
[15]铁摩辛柯S.工程中的振动问题[M].胡人礼译.北京:人民铁道出版社,1978.
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