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| Analysis of primary resonance and harmonic resonance of current-carrying iced conductors with considering aerodynamic forces |
| Received:December 01, 2021 Revised:April 01, 2022 |
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| DOI：10.7511/jslx20211201002 |
| KeyWord:current-carrying iced conductors sub-harmonic resonance stability multi-scale method aerodynamic forces |
| Author | Institution |
| 梁浩博 |
重庆交通大学 土木工程学院, 重庆 |
| 闵光云 |
重庆交通大学 土木工程学院, 重庆 ;重庆交通大学 省部共建山区桥梁及隧道工程国家重点实验室, 重庆 |
| 刘小会 |
重庆交通大学 土木工程学院, 重庆 ;重庆交通大学 省部共建山区桥梁及隧道工程国家重点实验室, 重庆 |
| 杨曙光 |
重庆交通大学 土木工程学院, 重庆 |
| 伍川 |
国网河南省电力公司电力科学研究院, 郑州 |
| 蔡萌琦 |
成都大学 建筑与土木工程学院, 成都 |
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| Abstract: |
| Aiming at the problem of nonlinear vibration of current-carrying conductors,the aerodynamic forces were introduced into the previous vibration equation of current-carrying conductors that only considered Ampere' s forces.On this basis,in order to study the influence of dynamic wind on the nonlinear vibration characteristics of current-carrying iced conductors,an excitation load was further introduced,and a new nonlinear vibration system of current-carrying iced conductors under the combined action of ampere's forces,excitation forces and aerodynamic forces was established.The nonlinear vibration equation was derived,and the vibration equation was transformed into a finite dimensional ordinary differential equation by using the Galerkin method.The amplitude-frequency response functions of the primary resonance,super and sub-harmonic resonance were obtained by using the multi-scale method.Through numerical calculation,the influences of parameters on the forced resonance of the system and the stability of the steady-state solutions of the primary resonance were analyzed.The results show that the response amplitudes under the action of aerodynamic forces are smaller and the nonlinear system is also weaker than without considering the action of aerodynamic forces;the change of line parameters has a certain influence on the response amplitudes and the nonlinearity of system;as the excitation amplitudes increase,the response amplitudes of the primary resonance and sub-harmonic resonance will increase,and the tuning parameter corresponding to the resonance peak will offset towards the negative axis,showing the characteristics of soft spring and the response amplitudes display multi-values and jump.The nonlinearity of the system is also enhanced with the increase of wind velocity.In the primary resonance,with the changes of tuning parameter,synchronization and loss of step appear in the response amplitudes. |
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