RLC串联电路暂态过程临界阻尼电阻的傅里叶分析  

Fourier Analysis on Critical Damp Resistance in Transient State Process of RLC Series Circuit

作　　者：王宗篪[1] 刘少伟[1] 

机构地区：[1]三明学院物理与机电工程系,福建三明365004

出　　处：《福建师范大学学报（自然科学版）》2011年第5期43-48,共6页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省教育厅科技项目(JK2010060);三明学院大学物理教学团队建设项目(ZL0703/JT)

摘　　要：分析了RLC串联电路临界阻尼过程临界电阻的实验测量值与理论值偏离的原因.通过傅里叶变换,将临界阻尼电流展开成频率连续的傅里叶积分式.对临界阻尼电流傅里叶积分式进行离散化,抽样成为有限个谐波的傅里叶多项式,近似表示临界阻尼电流.分别以各次谐波电流作用于RLC串联电路,测出电感和电容上的损耗电阻,从而对临界阻尼电阻的测量值进行了修正,使得临界阻尼电阻的实验测量修正值与理论值相一致.The reason of deviation between theoretical critical damp resistance and experimental one is analyzed. The critical damp current is expanded Fourier integral of continuous frequency spectrum by Fourier transform, the Fourier integral of critical damping current are separated the Fourier polynomial of finite harmonics of discrete frequency by sampling. The loss resistance of inductor and capacitor are measured when the first harmonic and the harmonics which replace the critical damp current are applied to the RLC series circuit, the experimental value of critical damp resistance is amended, so as to the agreement between the amended experimental value of critical damp resistance and the theoretical one can be obtained.

关 键 词：暂态过程 临界阻尼电阻 傅里叶分析 损耗电阻 

分 类 号：O441[理学—电磁学]