谐振电路品质因数的计算

A Method of Computing Quality Factor of Resonant Circuits

品质因数是谐振电路中一个非常重要的参数,本文讨论了一般RLC电路谐振时品质因数的计算问题,给出了一般RLC电路谐振时品质因数的简单计算方法,即先计算端口的阻抗或导纳,得到等效的串联或并联电路的R、L、C参数,然后套用串、并联谐振电路的品质因数计算公式即可。作者从品质因数的原始定义入手,说明了根据原始定义计算的品质因数与按照本文给出的方法计算的品质因数计算公式是一致的,从而证明了该方法的正确性。

Quality factor is one of the important parameter of resonant circuits. How to calculate the quality factor of a general RLC resonant circuit is discussed in this paper. A simple method for calculating the quality factor of a general RLC resonant circuit is achieved. The method is as follows： first, calculating the impedance or admittance of the circuit and determining the parameters R, L and C of the equivalent RLC series circuit or parallel circuit; then catcutating the quality factor by putting the equivalent parameters of R, L and C into the formula of calculating quality factor of the serials resonant circuits or parallel resonant circuits. It is shown that the formula of calculating quality factor provided in this paper is the same as using the original definition of quality factor. So the validity of this method is proved.