分数阶RL_βC_α带阻滤波电路特性研究

Study on Fractional-order RLβCα Band-stop Filter Circuit

以无源RLC带阻滤波电路为研究对象,建立分数阶新带阻滤波电路模型,研究带阻滤波电路在分数阶域下特性与规律。给出分数阶RLβCα带阻滤波电路阻抗表达式,研究分数阶阶次α、β等系统参数对分数阶滤波电路影响规律,并给出阻抗灵敏度对比分析。此外,分数阶RLβCα带阻滤波电路作为一个重要滤波电路模型,系统分析分数阶阶次α、β等系统参数对截止频率、谐振频率、带宽、品质因数等幅频特性与相频特性影响规律。结果表明,分数阶带阻滤波电路展现出新颖电路特性与优异滤波性能。

A new circuit model of the fractional order band-stop filter circuit is built based on the passive RLC band-stop filter circuit.First,the impedance of the fractional-order RLβCα band-stop filter circuit is presented.Based on this,effects of the fractional orders and other parameters on the impedance are studied,and the relative sensitivity analysis is considered.In addition,RLC circuit is regarded as an important filter circuit model.In this case,the effects of the fractional orders on the amplitude-frequency characteristics including cut-off frequency,resonance frequency,band width,and quality factor and phase-frequency characteristics of the filter circuit are systematically discussed.Finally,the results of the research show that the fractional-order filter circuit enjoys new circuit characteristics and excellent filtering performance,which indicates that the band-stop filter circuit has more flexibility and more impossibility in circuit designs because of the introductions of the fractional orders.