基于机电耦合方程近似解的低频电磁激振器谐波控制  

Harmonic control of low-frequency electromagnetic vibrator based on approximate solution of electromechanical coupling equation

作　　者：张旭飞 王硕 马杰 曹承乾 Zhang Xufei;Wang Shuo;Ma Jie;Cao Chengqian(College of Mechanical and Vehicle Engineering,Taiyuan University of Technology,Taiyuan 030024,China)

机构地区：[1]太原理工大学机械与运载工程学院,太原030024

出　　处：《仪器仪表学报》2024年第5期329-336,共8页Chinese Journal of Scientific Instrument

基　　金：国家自然科学基金(52375544);山西省基础研究计划(202203021211152)项目资助。

摘　　要：针对大行程低频电磁激振器非线性参数导致输出振动信号严重波形失真问题,在建立激振器机电耦合模型及等效传递函数分析基础上,对输出振动信号进行基于传递函数的初步谐波补偿控制。通过计算表征激振器非线性特性机电耦合方程对应的输出振动位移一次及二次近似解,得到在输入信号叠加的准确谐波补偿控制量,进而实现对输出信号波形失真的高精度补偿控制。仿真分析及实验测试结果表明:基于传递函数及近似解的控制方法可在整个频率范围对输出信号谐波进行有效补偿,0.1 Hz对应的加速度失真度由传递函数控制前的22.81%降低为4.5%,一次及二次近似解控制进一步降低为4.42%及1.78%,基于二次近似解的谐波控制方法具有更高的控制精度。Aiming at the severe waveform distortion of output vibration signal caused by nonlinear parameters of the long-stroke low-frequency electromagnetic vibrator,the preliminary harmonic compensation control was carried out based on analysis of electromechanical coupling model and equivalent transfer function.By calculating the first and second-order approximate vibration displacement solutions of the electromechanical coupling equation that characterize the nonlinear characteristics of the vibrator,the accurate harmonic compensation control quantities that need to be superimposed on the input signal was analyzed,and then the high-precision compensation control of the output signal waveform distortion was obtained.The simulation analysis and experimental test results show that the control method based on transfer functions and approximate solutions could effectively compensate the output signal harmonics in the entire frequency range.Typically,the acceleration distortion corresponding to 0.1 Hz was reduced from 22.81% to 4.5% by transfer function control,and further reduced to 4.42% and 1.78% by the first and second-order approximate solution control,respectively.The results show that the second-order approximate solution method exhibits higher harmonic control accuracy.

关 键 词：低频电磁激振器 谐波控制 机电耦合方程 振动位移近似解 

分 类 号：TH71[机械工程—测试计量技术及仪器]