电感频率特性及在RLC串联谐振电路中的应用

Inductor frequency characteristic and its application in RLC series resonant circuit

分析了电感频率特性对RLC串联谐振的影响,介绍了一种快速估测谐振频率的方法;导出了R和LC谐振曲线半高宽的数学式,讨论了其适用条件.自制了高Q电感,实验与理论相符.结果表明,电感的Q_L越大、r_L越小,则谐振曲线半高宽越小,测量越准;在负载R>0.64 r_L条件下,LC谐振曲线比R谐振曲线窄.

The influence of inductor frequency characteristic on a RLC series resonant circuit is analyzed,and a method of roughly measuring the resonant frequency is introduced. The equations of the resonant curve half-peak bandwidths for the load resistor and LC component are derived,and the applying conditions of the equations are also discussed. Then,an inductor with high quantity factor is fabricated,and the experimental results are in agreement with the theoretical analysis. The results show that the higher the inductor＇s Q is and the smaller the r_L is,the narrower the resonant curve half-peak bandwidth is and the more accuracy the measurement is. In addition,the resonant curve of the load resistance is narrower than that of LC component when R is greater than 0.64 r_L.