谐振电路品质因数的计算方法

Calculation Methods for the Quality Factor of the Resonant Circuit

品质因数是定量衡量谐振电路固有特性的重要参数,由电路的拓扑结构和元件参数决定。采用解析公式法、洛伦兹曲线拟合法和本征值数值计算三种独立的方法,定量对比了简单RLC串联谐振电路和复杂耦合谐振电路的品质因数及相对误差,讨论了这三种计算方法的优缺点和适用条件。拓展了现有教学中复杂谐振电路品质因数的教学内容,能够更好地满足实际的工程应用需求。

The quality factor is the important parameter quantitatively measuring the inherent properties of a resonant circuit,and its magnitude is determined by the circuit's topology and component parameter values.Three independent calculation methods,namely analytical formula method,Lorentz curve fitting method,and eigenvalue numerical calculation method,are used to quantitatively compare the quality factors and relative errors of simple RLC series resonant circuits and complex coupled resonant circuits.The advantages,disadvantages,and applicable conditions of these three quality factor calculation methods are discussed.The calculation results expand the teaching content of complex resonant circuit quality factors in existing education,and better meet the practical engineering application requirements.