College Physics ›› 2017, Vol. 36 ›› Issue (8): 21-24.doi: 10.16854 /j.cnki.1000-0712.2017.08.007

Previous Articles     Next Articles

The quality factor Q of fractional order RLα-Cβparallel resonance

WANG Ting-jiang   

  1. Department of Basic Science,Rongchang Campus,Southwest University,Chongqing 402460,China
  • Received:2016-07-25 Revised:2016-12-25 Online:2017-08-20 Published:2017-08-20
  • Supported by:
     

Abstract: According to the theory of circuit,the admittance of the fractional order RLα-Cβparallel circuit is obtained.Under the condition of α=β and CR2 /L<<1,a simple expression for the resonant frequency of the circuit is obtained.On this basis,a simple expression of the quality factor of the parallel resonant circuit is deduced and discussed.It is shown that the theoretical result is in well agreement with numerical simulation of MATLAB software. Then the law of quality factor with the change of element parameters and fractional order is found.

Key words: fractional-order, parallel resonance, quality factor