根据电路理论求得分数阶RL_α-C_β并联电路的导纳，以α= β、CR² /L<<1 为条件，求得电路谐振频率的简易表达式.在 此基础上推导出了RL_α-C_β并联谐振电路品质因数的简易表达式，并对其进行了分析讨论.用MATLAB 软件进行了仿真分析， 理论分析和仿真分析基本吻合，从而找到了品质因数Q 随元件参数及分数阶次数变化的规律.

According to the theory of circuit，the admittance of the fractional order RL_α-C_βparallel 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.