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Analysis of electrical circuits including fractional order elements
2017 6th Mediterranean Conference on Embedded Computing (MECO), 2017This paper deals with the analysis of electrical circuits with classical one-port elements including two novel defined one-port fractional order elements: fractional-order resistive-capacitive RC-α and fractional-order inductive RL-α element. The definitions and analytical relations between current, voltage and power of introduced fractional elements ...
Petar D Mandic +2 more
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Network Theorems for Fractional-Order Circuits
2023 IEEE International Symposium on Circuits and Systems (ISCAS), 2023exaly +2 more sources
2023 10th International Forum on Electrical Engineering and Automation (IFEEA), 2023
Yuan Weng, Ruo-Qiong Li, Xin Li
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Yuan Weng, Ruo-Qiong Li, Xin Li
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Jump resonance in fractional order circuits
2018 IEEE International Symposium on Circuits and Systems (ISCAS), 2018The occurrence of an hysteretic loop in the frequency response of a driven nonlinear system is a phenomenon deeply investigated in nonlinear control theory. Such a phenomenon, which is linked to the multistable behavior of the system, is called jump resonance, since the magnitude of the frequency response is subjected to an abrupt jump up/down with ...
Buscarino, Arturo +3 more
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Theorems of Fractional-Order Circuits
2021In traditional integer-order circuit theory, there are many fundamental theorems, including Superposition theorem, Substitution theorem, Thevenin’s theorem, Norton’s theorem, Tellegen’s theorem, Reciprocity theorem, Duality theorem, Compensation theorem, and Bisection theorem.
Bo Zhang, Xujian Shu
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Realization of fractional order circuits by a Constant Phase Element
European Journal of Control, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buscarino, A. +3 more
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ANALYSIS OF THE FRACTIONAL-ORDER PARALLEL TANK CIRCUIT
Journal of Circuits, Systems and Computers, 2013A parallel LβCα tank circuit with an α-order capacitor and a β-order inductor is proposed in this paper, where α and β are positive real numbers. The impedance of the parallel LβCα 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 α – β plane.
Peng Chen 0017, Songbai He
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Chaos in a Fractional Order Duffing System: a circuit implementation
2019 IEEE International Conference on Systems, Man and Cybernetics (SMC), 2019In this paper, a fractional order representation and the related hardware realization of the Duffing system are presented. The considered system can be defined as the general case of the standard Duffing system, which is a typical example of a non autonomous chaotic system.
Buscarino A. +3 more
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Fractional-Order Components and Their Basic Circuits
2021Fractional-order circuit is a kind of circuit that contains fractional-order components, such as the fractional-order inductor, fractional-order capacitor, and fractional-order mutual inductor. Different from the integer-order component that is described by first-order calculus, the current–voltage relationship of the fractional-order components is ...
Bo Zhang, Xujian Shu
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EFFECTS OF FRACTIONAL DIFFERENTIATION ORDERS ON A COUPLED DUFFING CIRCUIT
International Journal of Bifurcation and Chaos, 2013Classical electrical circuits consist of resistors and capacitors and are governed by integer-order model. Circuits may have so-called fractance which represents an electrical element with fractional order impedance. Therefore, fractional order derivative is important to study the dynamical behaviors of circuits.
Andrew Y. T. Leung, Zhongjin Guo
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