基于麦克斯韦力-振动耦合的高压油浸式并联电抗器铁心多倍频振动机理研究  

Study on Multi-Harmonic Vibration Mechanism of High-Voltage Shunt Reactor Core Based On Coupling between Maxwell Force and Vibration

作　　者：党永亮 张玉焜 祝令瑜[1] 高树国 孟令明 刘宏亮 Dang Yongliang;Zhang Yukun;Zhu Lingyu;Gao Shuguo;Meng Lingming;Liu Hongliang(State Key Laboratory of Electrical Insulation and Power Equipment Xi’an Jiaotong University,Xi’an 710049 China;State Grid Hebei Electric Power Research Institute,Shijiazhuang 050021 China)

机构地区：[1]电工材料和电气绝缘全国重点实验室(西安交通大学),西安710049 [2]国网河北省电力公司电力科学研究院,石家庄050021

出　　处：《电工技术学报》2024年第S1期117-126,共10页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(51877168);国家电网有限公司总部科技项目(5200-201913054A-0-0-00)资助。

摘　　要：铁心振动模型是故障诊断和减振降噪的基础。传统研究认为铁心振动过程中麦克斯韦力仅是时间的正弦函数,对实际可能出现的多谐波频谱解释不全面。该文提出,麦克斯韦力与振动之间存在的耦合作用是导致铁心振动中包含多谐波分量的原因之一。借助拉格朗日力学基本原理,建立了电抗器铁心振动基本单元模型。利用摄动法分析了模型远离共振区的解的频域特征,并用林滋泰德-庞加莱摄动法分析了模型发生超谐共振和亚谐共振时解的频域特征。研究结果表明:根据模型计算结果,麦克斯韦力-振动耦合效应会使油浸式并联电抗器铁心振动包含2h(h=1,2,3,…)次谐波,且谐波幅值随频率升高而快速减小;若铁心柱发生超谐共振,产生2h(h=1,2,3,…)次谐波,且200 Hz振动分量显著增大;若铁心柱发生亚谐共振,产生h(h=1,2,3,…)次谐波,且50 Hz振动分量显著增大。铁心松动和环氧树脂垫块老化等因素可导致其固有频率发生偏移,此时发生超谐共振和亚谐共振的可能性增加。1000 kV和500 kV变电站现场实测结果符合该文提出的理论预测,说明了所建立机理模型的合理性。研究结果为现场人员根据电抗器油箱表面的振动信号判断电抗器铁心柱的轴向松紧程度提供了新的视角和认识。The vibration model of high-voltage shunt reactor core is the basis for its fault detection and noise reduction.Traditionally,it is believed that the Maxwell force on the core is only a sinusoidal function of time,which can not explain the multi-harmonic components of vibration signal on the tank measured in practice fully.This paper presents a theory that the coupling effect between Maxwell force and vibration is one of the reasons for the multi-harmonic phenomenon.The basic element vibration model of shunt reactor core was established using Lagrange mechanics.The frequency domain characteristics of the model's solution far away from the resonance region were analyzed using normal perturbation method,and the frequency domain characteristics were analyzed respectively at super-harmonic resonance and sub-harmonic resonance,using L-P method.The results show that the coupling between Maxwell force and vibration is one of the causes of 2hω(h=1,2,3,…,ω=50 Hz)harmonics and explain the phenomenon that the amplitude decreases rapidly with the increasing frequency.When super-harmonic resonance occurs in the core,2hω(h=1,2,3,…,ω=50 Hz)harmonics appear,and the 200 Hz vibration component increases significantly.When subharmonic resonance occurs in the core,hω(h=1,2,3,…,ω=50 Hz)harmonics appear,and the 50 Hz vibration component increases significantly.The reactor tank vibration tests results of 1000 kV and 500 kV shunt reactor are consistent with the theoretical prediction proposed in this paper,indicating the rationality of the model.The results provide a new perspective and understanding to judge the axial tightness of shunt reactor core based on the vibration of reactor tank.

关 键 词：高压油浸式并联电抗器 振动 麦克斯韦力 耦合 频谱特征 

分 类 号：TM472[电气工程—电器]