教学讨论

关于分数阶RLα-Cβ 并联电路相频特性的讨论

  • 王廷江
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  • 西南大学荣昌校区基础部,重庆 402460
王廷江(1969—),男,四川阆中人,西南大学荣昌校区基础部副教授,硕士,主要从事大学物理教学及电工

收稿日期: 2017-02-06

  修回日期: 2017-04-17

  网络出版日期: 2017-12-20

基金资助

西南大学实验技术研究项目(No.SYJ2016058)资助

On the phase-frequency characteristic of fractional order RLα-Cβ parallel

  • WANG Ting-jiang
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  • Department of Basic Science,Rongchang Campus,Southwest University,Rongchang,Chongqing 402460,China

Received date: 2017-02-06

  Revised date: 2017-04-17

  Online published: 2017-12-20

摘要

根据电路理论求得分数阶RLα-Cβ 并联电路的导纳,以α=β、CR2/L<<1为条件,求得RLα-Cβ 并联电路相频特性的简易表达式,并对相频特性进行了理论分析和数值仿真分析,二者分析结果基本吻合,从而找到了相频特性随分数阶次数及元件参数变化的规律.

本文引用格式

王廷江 . 关于分数阶RLα-Cβ 并联电路相频特性的讨论[J]. 大学物理, 2017 , 36(12) : 22 -25 . DOI: 10.16854/j.cnki.1000-0712.2017.12.006

Abstract

According to the theory of circuit,the admittance of the fractional order RLα-Cβ parallel circuit is obtained in the condition α=β and CR2/L<<1,a simple expression of the phase-frequency characteristic of the parallel resonant circuit is deduced,and the analysis and discussion are carried out.The theoretical analysis is in agreement with simulation result,and thus the law of phase-frequency characteristic with the change of element parameters and fractional order is found.
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