Investigation on the Vibration Isolation and Noise Reduction of Dual- nonlinear Isolation System for Transformer
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摘要: 为降低居民区内变压器的振动和噪声对居民生活舒适性的不利影响,基于新型磁性负刚度和几何非线性阻尼设计了一种应用于变压器减振降噪的双非线性隔振系统。采用分子电流方法建立了磁性负刚度弹簧的理论模型,开展了磁力和磁性负刚度性能仿真分析。基于电磁分支电路阻尼提出一种位移-速度依赖的几何非线性阻尼,结合等效磁荷法研究了几何非线性阻尼的机电耦合特性,开展了相应的参数优化设计。应用谐波平衡法仿真分析了应用于变压器减振降噪的双非线性隔振系统的动力学特性,开展了变压器的低频减振降噪性能分析。结果表明:磁性负刚度降低了系统的共振频率,拓宽了隔振频带,有效隔离了变压器低频振动在固体结构中的传播;同时,几何非线性阻尼抑制共振而不影响非共振区振动的衰减,高效抑制了变压器振动噪声的传播。Abstract: To avoid the adverse effects of transformer vibration and noise on residents′ comfort, a dual-nonlinear vibration isolation system for transformer vibration reduction and noise reduction is designed based on the novel magnetic negative stiffness and geometric nonlinear damping. The theoretical model of magnetic negative stiffness spring is established with the current method, and the analysis on magnetic force and negative stiffness performance is carried out. A displacement-velocity-dependent geometric nonlinear damping is proposed based on electromagnetic shunt damping. The electromechanical coupling characteristic of the geometric nonlinear damping is investigated via the equivalent magnetic charge method. The parameter optimization is carried out as well. The dynamics of the dual-nonlinear isolation system for vibration reduction and noise reduction of transformers are studied by harmonic balance method. Then the low frequency vibration attenuation and noise reduction of the transformer are studied. The results show that the magnetic negative stiffness spring reduces the resonance frequency of the system and broadens the isolation bandwidth. And the low-frequency vibration of the transformer is effectively isolated. Moreover, the geometric nonlinear damping can effectively suppress the resonance without affecting the attenuation in the non-resonant region. Finally, the vibration and noise of the transformer can be significantly controlled.
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表 1 磁环参数
磁环 内半径rin/m 外半径rout/m 厚度h/m 剩磁强度Br/T 磁间距 l/m 上-2 0.006 0.0265 0.03 1.45 0.017
(工况Ⅰ)中-1 0.002 0.0125 0.013 1.45 0.016
(工况Ⅱ)下-2 0.006 0.0265 0.03 1.45 0.015
(工况Ⅲ)表 2 近似刚度系数
工况 k1a/(N·m−1) k3a/106 (N·m−3) Ⅰ −15140 6.408 Ⅱ −15220 7.313 Ⅲ −15245 8.138 表 3 磁瓦参数
r1/m r2/m h/m (θ2-θ1)/(°) Br/T 0.02 0.03 0.02 35 1.45 -
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