Open AccessFractional-order multiple RLαCβ circuit
Author(s) -
Lijie Diao,
Xiaofei Zhang,
Diyi Chen
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.038401
Subject(s) - rlc circuit , admittance , electrical impedance , computer science , rl circuit , generalization , electronic circuit , network analysis , equivalent circuit , electrical element , topology (electrical circuits) , physics , mathematics , mathematical analysis , voltage , capacitor , quantum mechanics , power factor , combinatorics , constant power circuit
Since the RLC circuit is a basic circuit, attention is directed to the generalization of the fundamentals of fractional multiple RLαCβ circuit. Compared with the conventional multiple RLC circuit, the effects of fractional orders, α and β, is the key factor for extra freedom, more flexibility and novelty. First, we study the basic features including the admittance and phase. Then, the conditions for fractional-order multiple RLαCβ circuit to act as pure imaginary impedances are derived, which are unrealizable in the conventional case. As a peculiar phenomenon–resonance, the relationships among resonance frequency, fractional order and LC are studied in detail. In addition, sensitivity analysis including some interesting rules is illustrated. Finally, numerical simulations are carried out to validate the above studies.