基于遗传算法的电磁分流阻尼参数优化  

Parameter Optimization for Electromagnetic Shunt Dampers Based on Genetic Algorithm

作　　者：李戈[1] 毛崎波[1] 吴彬[2] LI Ge;MAO Qibo;WU Bin(School of Aircraft Enginneering,Nanchang Hang Kong University,Nanchang 330063,China;Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China)

机构地区：[1]南昌航空大学,南昌330063 [2]中国科学院力学研究所,北京100190

出　　处：《噪声与振动控制》2021年第3期9-13,50,共6页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(51975266);江苏省六大人才高峰资助项目(KTHY-036);江西省自然科学基金资助项目(20192BAB206024)。

摘　　要：提出一种基于遗传算法的电磁分流阻尼的最优参数设计,可解决定点理论(H∞优化)不能考虑主系统阻尼进行优化的缺点。首先导出包含主系统阻尼比的位移放大因子无量纲参数的表达式;然后使用PQ定点法推导出主系统阻尼比为0时的最优调谐比、最优阻尼比;再建立考虑主系统阻尼比时基于遗传算法的目标函数以及适应度函数,最后分别求得当主系统阻尼比取不同数值时各自的最优电容以及最优电阻,从而证明基于遗传算法优化的电磁分流阻尼设计对降低主系统振动具有良好效果。An optimal parameter design for electromagnetic shunt dampers based on genetic algorithm was proposed.This method can overcome the difficulty carried by the PQ fixed points theory(H∞Optimization).First of all,the dimensionless expression of the displacement amplification factor which includes the damping ratio of the host structure was deduced.The optimal tuning ratio and damping ratio of the electromagnetic shunt damper were calculated by the PQ fixed points theory.Then,the objective functions and the fitness functions of the genetic algorithm corresponding to different host structure damping ratios were established respectively.Finally,each optimal capacity and resistance were obtained by using the Matlab code.It is proved that the optimal design of the electromagnetic shunt damper based on the genetic algorithm can reduce the host structure’s vibration effectively.

关 键 词：振动与波 电磁分流阻尼 定点理论 最优电容 最优电阻 遗传算法 

分 类 号：TB53[理学—物理]