Fractional-Order RLβ -Cα Parallel Resonator and RF Circuit Application
IEEE Journal of Emerging and Selected Topics in Industrial Electronics（2023）
摘要
This article generalizes the classic
RL
-
C
parallel resonate circuit to the fractional-order domain. The proposed
RLβ-Cα
fractional-order circuit has more flexibility and novelty than the conventional case, where
α
and
β
are fractional-order parameters. Numerical analysis and graphical methods are employed to investigate the fractional-order complex impedance and phase response. The conditions for the
RLβ-Cα
fractional-order resonator to work as pure imaginary impedance, pure real impedance even negative impedance, and open circuit are derived in detail, which are unachievable in the integer-order case. Both series and parallel phase responses can be observed in the fractional parallel circuit, which depends on the values of
α
and
β
. Finally, some RF passive and active applications for this generalized circuit are presented. Time domain simulation and S parameter simulated results are provided to validate the above discussion.
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关键词
Fractional-order,negative impedance,parallel resonator,pure imaginary impedance, $RL-C$
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