Galloping Equation and Primary Resonance Investigation of Overhead Transmission Lines
The galloping of overhead transmission lines is one of the main causes for line damages. How to accurately describe the galloping of transmission lines is a worthy topic. Firstly, a partial differential equation of a transmission line is derived with Hamiltonian variational principle. And then the e...
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| Format: | Article |
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State Grid Energy Research Institute
2021-03-01
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| Series: | Zhongguo dianli |
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| Online Access: | https://www.electricpower.com.cn/CN/10.11930/j.issn.1004-9649.202005106 |
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| author | Guangyun MIN Xiaohui LIU Ceshi SUN Mengqi CAI |
| author_facet | Guangyun MIN Xiaohui LIU Ceshi SUN Mengqi CAI |
| author_sort | Guangyun MIN |
| collection | DOAJ |
| description | The galloping of overhead transmission lines is one of the main causes for line damages. How to accurately describe the galloping of transmission lines is a worthy topic. Firstly, a partial differential equation of a transmission line is derived with Hamiltonian variational principle. And then the equation is nondimensionalized, and the modal function and linear frequencies of the transmission line are calculated under in-plane symmetrical mode and anti-symmetric mode. The partial differential equation is transformed into ordinary differential equation with Galerkin method. Finally, the influence of Irvine parameters on amplitude-frequency response is analyzed with the method of multiple scales. From the curves of the amplitude-frequency response, it is found that the larger the Irvine parameters are, the stronger the nonlinear effects are and the more remarkable the jump phenomenon is. When the primary resonance occurs, the amplitude of galloping is mainly determined by the first-order modal function, and the amplitude caused by the higher-order modal function is much smaller than that caused by the first-order modal function. |
| format | Article |
| id | doaj-art-86382aa5adca47a0be2bcc65666438e4 |
| institution | DOAJ |
| issn | 1004-9649 |
| language | zho |
| publishDate | 2021-03-01 |
| publisher | State Grid Energy Research Institute |
| record_format | Article |
| series | Zhongguo dianli |
| spelling | doaj-art-86382aa5adca47a0be2bcc65666438e42025-08-20T02:52:31ZzhoState Grid Energy Research InstituteZhongguo dianli1004-96492021-03-0154312513110.11930/j.issn.1004-9649.202005106zgdl-54-03-minguangyunGalloping Equation and Primary Resonance Investigation of Overhead Transmission LinesGuangyun MIN0Xiaohui LIU1Ceshi SUN2Mengqi CAI3School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, ChinaSchool of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, ChinaState Key Laboratory of Bridge and Tunnel Engineering in Mountain Areas, Chongqing Jiaotong University, Chongqing 400074, ChinaSchool of Architecture and Civil Engineering, Chengdu University, Chengdu 610106, ChinaThe galloping of overhead transmission lines is one of the main causes for line damages. How to accurately describe the galloping of transmission lines is a worthy topic. Firstly, a partial differential equation of a transmission line is derived with Hamiltonian variational principle. And then the equation is nondimensionalized, and the modal function and linear frequencies of the transmission line are calculated under in-plane symmetrical mode and anti-symmetric mode. The partial differential equation is transformed into ordinary differential equation with Galerkin method. Finally, the influence of Irvine parameters on amplitude-frequency response is analyzed with the method of multiple scales. From the curves of the amplitude-frequency response, it is found that the larger the Irvine parameters are, the stronger the nonlinear effects are and the more remarkable the jump phenomenon is. When the primary resonance occurs, the amplitude of galloping is mainly determined by the first-order modal function, and the amplitude caused by the higher-order modal function is much smaller than that caused by the first-order modal function.https://www.electricpower.com.cn/CN/10.11930/j.issn.1004-9649.202005106transmission lineprimary resonancetensile forceamplitude-frequency responsemethod of multiple scales |
| spellingShingle | Guangyun MIN Xiaohui LIU Ceshi SUN Mengqi CAI Galloping Equation and Primary Resonance Investigation of Overhead Transmission Lines Zhongguo dianli transmission line primary resonance tensile force amplitude-frequency response method of multiple scales |
| title | Galloping Equation and Primary Resonance Investigation of Overhead Transmission Lines |
| title_full | Galloping Equation and Primary Resonance Investigation of Overhead Transmission Lines |
| title_fullStr | Galloping Equation and Primary Resonance Investigation of Overhead Transmission Lines |
| title_full_unstemmed | Galloping Equation and Primary Resonance Investigation of Overhead Transmission Lines |
| title_short | Galloping Equation and Primary Resonance Investigation of Overhead Transmission Lines |
| title_sort | galloping equation and primary resonance investigation of overhead transmission lines |
| topic | transmission line primary resonance tensile force amplitude-frequency response method of multiple scales |
| url | https://www.electricpower.com.cn/CN/10.11930/j.issn.1004-9649.202005106 |
| work_keys_str_mv | AT guangyunmin gallopingequationandprimaryresonanceinvestigationofoverheadtransmissionlines AT xiaohuiliu gallopingequationandprimaryresonanceinvestigationofoverheadtransmissionlines AT ceshisun gallopingequationandprimaryresonanceinvestigationofoverheadtransmissionlines AT mengqicai gallopingequationandprimaryresonanceinvestigationofoverheadtransmissionlines |