基于 RLC 回路的傅里叶级数分解问题的分析与验证  

Some problems in the experiment of Fourier series decompositionbased on RLC resonance circuit

作　　者：刘维慧 代坤 李洪亮 马瑞祥 苗永平 LIU Wei-hui;DAI Kun;LI Hong-liang;MA Rui-xiang;MIAO Yong-ping(College of Electronic and Information Engineering,Shandong University of Science and Technology,Qingdao,Shandong 266590,China)

机构地区：[1]山东科技大学电子信息工程学院,山东青岛266590

出　　处：《大学物理》2020年第10期38-41,85,共5页College Physics

基　　金：山东科技大学在线开放课程建设项目(0104056691009)资助。

摘　　要：本文分析并通过实验总结了电阻、电容、电感3个关键参数对傅立叶分解所得的基波和谐波振幅比值以及波形质量的影响.结果表明,通过限定电阻的取值范围、动态调整电容值可以获得与理论较为接近的幅度比值和较好的谐波波形质;两组不同电感值的实验结果表明,电感的取值越大则谐波波形质量越好.实验结果为傅里叶级数分解实验的关键参数选取提供了解决思路.The values of resistance,capacitance and inductance are the key factors of the amplitude ratio and waveform quality in the Fourier series decomposition experiment.Several experiments based on the three factors are carried out in this paper.The results have shown that suitable value range of the resistance and strategy of dynamical adjusting of the capacitance is contributed to get good waveform quality and small deviation of amplitude ratio.In addition,the experiment on inductance has verified that the greater its value is,the better the waveform is.In conclusion,the above experiments can supply valuable reference to the experiment of Fourier series decomposition.

关 键 词：傅里叶级数 串联谐振电路 信号幅度 波形质量 

分 类 号：O441.1[理学—电磁学]