电磁式防振锤原理的分频谐波法分析研究
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摘要
微风振动是架空输电线路主要的风振危害之一,对输电工程的安全造成严重威胁,所以越来越引起广大专业技术工作者的重视。
本文首先介绍了当今国内外对微风振动及防振相关理论研究的大概状况。其次,阐述了输电导线微风振动的基本理论,包括产生微风振动的起因,特点及影响因素,并简要地推导出输电线在微风振动下的振动波形方程。然后,简单介绍了微风振动防振措施和常用的防振装置及其缺陷,进而提出电磁防振思想。
本文的核心内容是建立了电磁式防振锤振动系统的数学模型。其中,特别应用了一般力学原理中的哈密顿原理,建立了电磁式防振锤锤头的真实运动模型。而且,应用了谐波平衡法求得了主要设计参数的近似表达式,讨论并应用了分频谐波法对非线性数学模型的解进行了修正。最后,得出结论并展望一下未来的研究工作。
本文主要对电磁式防振锤的工作原理进行了理论性分析,并对非线性模型的分析方法进行了试探性研究。阐述和推导出了一些重要参数的关系式和主要设计参数的表达式,为以后的参数设计和优化等进一步研究工作做好理论基础。
The breeze vibrations on over-head transmission line was one of the major harmfulness about the vibration on transmission line, which threat the safety of the transmission line seriously, and more and more professional and technical workers began to study on it.
At first, this paper introduced some studies of the current domestic and international situation about the theory of breeze vibration and anti-vibration. Secondly, described the basic theory of breeze vibration on the transmission line, including the reasons, characteristics and impact factors of the breeze vibration. Furthermore, briefly derived the wave equation of vibration. Then, some anti-vibration measures and devices was introduced briefly, and raise a thinking of electromagnetic anti-vibration.
The main content of this paper is to established the mathematical model of the vibration system. Especially, the electromagnetic damper-head's model of the real movement was established, by applying the Hamilton principle in the general theory of mechanics. Moreover, achieved the main design parameters similar expressions by applying the harmonic method, and raised a part-frequency harmonics method on the basis of the frequency harmonics method, and applied the method on the non-linear mathematical model for the quantitative analysis. Finally, draw conclusions and the future prospects of the research work.
In this paper, the main work was based on the working principle of the electromagnetic damper's theoretical study, and made a exploratory research on the non-linear model analysis. Derived on some important parameters' relationship equation and the main expression equation of the design parameters. All of these made the theoretical basis to the further research work, such as the parameters of the design and optimization.
本文首先介绍了当今国内外对微风振动及防振相关理论研究的大概状况。其次,阐述了输电导线微风振动的基本理论,包括产生微风振动的起因,特点及影响因素,并简要地推导出输电线在微风振动下的振动波形方程。然后,简单介绍了微风振动防振措施和常用的防振装置及其缺陷,进而提出电磁防振思想。
本文的核心内容是建立了电磁式防振锤振动系统的数学模型。其中,特别应用了一般力学原理中的哈密顿原理,建立了电磁式防振锤锤头的真实运动模型。而且,应用了谐波平衡法求得了主要设计参数的近似表达式,讨论并应用了分频谐波法对非线性数学模型的解进行了修正。最后,得出结论并展望一下未来的研究工作。
本文主要对电磁式防振锤的工作原理进行了理论性分析,并对非线性模型的分析方法进行了试探性研究。阐述和推导出了一些重要参数的关系式和主要设计参数的表达式,为以后的参数设计和优化等进一步研究工作做好理论基础。
The breeze vibrations on over-head transmission line was one of the major harmfulness about the vibration on transmission line, which threat the safety of the transmission line seriously, and more and more professional and technical workers began to study on it.
At first, this paper introduced some studies of the current domestic and international situation about the theory of breeze vibration and anti-vibration. Secondly, described the basic theory of breeze vibration on the transmission line, including the reasons, characteristics and impact factors of the breeze vibration. Furthermore, briefly derived the wave equation of vibration. Then, some anti-vibration measures and devices was introduced briefly, and raise a thinking of electromagnetic anti-vibration.
The main content of this paper is to established the mathematical model of the vibration system. Especially, the electromagnetic damper-head's model of the real movement was established, by applying the Hamilton principle in the general theory of mechanics. Moreover, achieved the main design parameters similar expressions by applying the harmonic method, and raised a part-frequency harmonics method on the basis of the frequency harmonics method, and applied the method on the non-linear mathematical model for the quantitative analysis. Finally, draw conclusions and the future prospects of the research work.
In this paper, the main work was based on the working principle of the electromagnetic damper's theoretical study, and made a exploratory research on the non-linear model analysis. Derived on some important parameters' relationship equation and the main expression equation of the design parameters. All of these made the theoretical basis to the further research work, such as the parameters of the design and optimization.
引文
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[3]李效韩,李邦宜,徐乃管.防振锤的非线形参数识别[J].中国电机工程学报,1996,(16)2:142-144.
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[8]徐乃管,王景朝.500kV线路大跨越分裂导线防振实验研究[J].电力建设,1994(11):2-5.
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[31]沈建宏.750kV用阻尼间隔棒的研制[C].中国电机工程学会输电电气五届一次学术年会论文集,2006,11:479-490.
[32]王武装,艾玉光,龚志云.带电操作远距离架空地线防振锤复位器的研制[J].华北电力技术,2004,(9):37-40.
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[34]曹柯宇.架空输电线用电磁防振锤初步研究[D].广西大学硕士学位论文,2006.
[35]E.L.Nikiforov.Use of spiral protectors for preventing fatigue damage of transmission line cables[J].Power Technology and Engineering,2002,36(5):157-161.
[36]容国杰,李臣忠.4D系列防振锤的历史与发展[J].电力建设,2005,26(12):62-66.
[37]夏泓轩,夏德森.国内架空输电线路防护金具[J].电力金具,2007,(2)期:18-40.
[38]夏德森,王德峰.防振金具在架空线路上的应用[J].电力建设,2003,24(8):21-23.
[39]罗新.预绞丝式电力金具在输电线路上的应用[N].科技咨询导报,2007,16-025.
[40]张会韬.架空输电线路微风振动危害的实例及现场测振的重要性.电力建设[J],1997(9):38-44.
[41]L.I.Kachanovskaya,M.L.Fel'dman,V.V.Mishchenko.Estimation of the technical condition of overhead transmission line after 30 years of operation[J].Power Technology and Engineering,2004,38(1):54-56.
[42]Federico Cluni,Vittorio Gusella and Filippo Ubertini.A parametric investigation of wind-induced cable fatigue[J].Engineering Structures,2007,2:1-12.
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[2]李效韩,李邦宜,徐乃管.装防振锤的架空输电线系统的微风响应[J].中国电机工程学报,1997,(05):352-355.
[3]李效韩,李邦宜,徐乃管.防振锤的非线形参数识别[J].中国电机工程学报,1996,(16)2:142-144.
[4]架空输电线路的微风振动,日本电气学会技术报告(Ⅱ),1998.
[5]S.Meynen,H.Verma,P.Hagedorn and M.Schafer.On the numerical simulation of vortex-induced vibrations of oscillating conductors[J].Journal of Fluids and Structures,2005,21(1):41-48.
[6]S.Meynen,H.Verma,P.Hagedorn and M.Schafer.On the numerical simulation of vortex-induced vibrations of oscillating conductors[J].Journal of Fluids and Structures,2005,21(1):41-4 8.
[7]G.Corriga,S.Sanna and G.Usal.Parametric optimization of wind-excited vibration dampers for overhead transmission lines[J].Applied Mathematical Modelling,1994,18(10):577-581.
[8]徐乃管,王景朝.500kV线路大跨越分裂导线防振实验研究[J].电力建设,1994(11):2-5.
[9]张会韬.架空送电线路微风振动现场测量新方法[J].中国电力,1999,32(12):60-63.
[10]尚曾温.分裂导线微风振动试验用液压振动台系统研究[J].液压与气动,2003(6):14-16.
[11]张军伟.架空输电线防振优化设计研究[D].华北电力大学硕士学位论文,2002.
[12]徐乃管,尤传永.我国建成国际一流水平的输电线路分裂导线实验室.国际电力,2001,(1):37-41.
[13]张军伟,王藏柱,籍颖.架空输电线微风防振的计算机辅助设计[J].计算机仿真,2003(07):88-89.
[14]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[J].计算机应用,2001,(2):6-8.
[15]李晓峰,周大华.500kV架空送电线路地线防振锤的改进[J].中国质量,2003,(06):60-61.
[16]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.
[17]S.V.Krylov,D.S.Savvaitov,V.A.Shkaptsov.Modern means for protecting conductors,earth wires,and optical-fiber cables from vibration[J].Power Technology and Engineering,2004,38(6):350-355.
[18]孙林.架空输电线防振器性能研究及安装位置的精确计算[D].合肥工业大学硕士学位论文,2003.
[19]冯薇.全介质自承式光缆_ADSS_微风振动防振计算与仿真[D].华北电力大学硕士学位论文,2004.
[20]A.Cigada,G Diana,M.Falco,F.Fossati et al.Vortex shedding and wake-induced vibrations in single and bundle cables.Journal of Wind Engineering and Industrial Aerodynamics,1997,72:253-263.
[21]郑玉祺.架空输电线微风振动[M].北京:水利电力出版社,1987.
[22]程志军.架空输电线路静动力特性及风振研究[D].浙江大学博士学位论文,2000.
[23]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孔[J].振动与冲击,2007,26(8):64-67.
[24]P.Hagedorn,N.Mitra and T.Hadulla.Vortex-excited vibrations in bundled conductors:a mathematical model[J].Journal of Fluidsand Structures,2002,16(7):843-854.
[25]Nandan Kumar Sinha and Peter Hagedom.Wind-excited overhead transmission lines:Estimation of connection stresses at junctions[J].Journal of Sound and Vibration,2007,301(1-2):400-409.
[26]张旗,张玲.架空线防振锤设计中的几个问题[J].电力学报,2005,20(2):169-171.
[27]杨日胜,黄俊华.高压架空线缆的防振锤设计理论(上)[N].网络电信,2003,9:59-61
[28]Albert S.Richardson.Performance requirements for vibration dampers[J].Electric Power Systems Research,1996,36(1):21-28.
[29]李瑞,余虹云,刘新等.防振锤的优化设计[J].中国电力,1997,30(5):60-61.
[30]K.M.Shum,Y.L.Xu,W.H.Guo.Wind-induced vibration control of long span cable-stayed bridges using multiple pressurized tuned liquid column dampers[J].Journal of Wind Engineering and Industrial Aerodynamics,2008,96(02):166-192.
[31]沈建宏.750kV用阻尼间隔棒的研制[C].中国电机工程学会输电电气五届一次学术年会论文集,2006,11:479-490.
[32]王武装,艾玉光,龚志云.带电操作远距离架空地线防振锤复位器的研制[J].华北电力技术,2004,(9):37-40.
[33]张晓萌.一种线杆防振装置[J].变压器,2006,2,43-2.
[34]曹柯宇.架空输电线用电磁防振锤初步研究[D].广西大学硕士学位论文,2006.
[35]E.L.Nikiforov.Use of spiral protectors for preventing fatigue damage of transmission line cables[J].Power Technology and Engineering,2002,36(5):157-161.
[36]容国杰,李臣忠.4D系列防振锤的历史与发展[J].电力建设,2005,26(12):62-66.
[37]夏泓轩,夏德森.国内架空输电线路防护金具[J].电力金具,2007,(2)期:18-40.
[38]夏德森,王德峰.防振金具在架空线路上的应用[J].电力建设,2003,24(8):21-23.
[39]罗新.预绞丝式电力金具在输电线路上的应用[N].科技咨询导报,2007,16-025.
[40]张会韬.架空输电线路微风振动危害的实例及现场测振的重要性.电力建设[J],1997(9):38-44.
[41]L.I.Kachanovskaya,M.L.Fel'dman,V.V.Mishchenko.Estimation of the technical condition of overhead transmission line after 30 years of operation[J].Power Technology and Engineering,2004,38(1):54-56.
[42]Federico Cluni,Vittorio Gusella and Filippo Ubertini.A parametric investigation of wind-induced cable fatigue[J].Engineering Structures,2007,2:1-12.
[43]梁绍荣,刘昌年,盛正华.普通物理学,第三分册(电磁学)[M].北京:高等教育出版社,2005.
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