摘要

A parallel L beta C alpha tank circuit with an alpha-order capacitor and a beta-order inductor is proposed in this paper, where alpha and beta are positive real numbers. The impedance of the parallel L beta C alpha tank circuit, which could perform as a pure real, pure imaginary or short impedance, is discussed in detail, followed by the phase response analysis in alpha-beta plane. The results show that the parallel L beta C alpha tank circuit could act as a constant phase element. The resonance frequency analysis demonstrates that there exists more than one resonance frequency. And the time domain response expression of the proposed L beta C alpha tank circuit is given by applying the inverse Laplace transform. The dual transformation relationship between the series and parallel L beta C alpha tank circuit is summarized at last.