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Performance Analysis of Fractional Order Filter Using Fractional Order Elements
2021This article focuses on performance analysis of band pass filter in fractional order using generalized impedance converter and fractional order capacitor. The band pass filter is analyzed by considering resistor, a fractional order inductor with order lies between \( 0 < \alpha \le 2 \) and a fractional order capacitor with order lies between \( 0 ...
Tapaswini Sahu +3 more
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Fractional Order Circuit Elements Derived from Electromagnetism
2019 MIXDES - 26th International Conference "Mixed Design of Integrated Circuits and Systems", 2019In this paper, derivations of fractional-order (FO) circuit-element equations from electromagnetism are presented. Whilst many papers are devoted to FO modelling of electrical circuits, there are no strong foundations for such an approach. Therefore, we investigate relations between the FO electromagnetism and the FO circuit theory.
Tomasz P. Stefanski, Jacek Gulgowski
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Design of Fractional Order Elements’ Series
2019 11th International Conference on Electrical and Electronics Engineering (ELECO), 2019Efficient design of fractional-order elements’ (FOEs) series using a very limited set of "seed" FOEs is proposed in this paper. The proposed technique is based on an immittance converter/inverter, here using operational transconductance amplifiers. To show the efficiency of the proposed technique, using up to two "seed" FOEs with properly selected ...
Jaroslav Koton +3 more
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General fractional order mem-elements mutators
Microelectronics Journal, 2019Abstract This paper proposes the realization of grounded and floating fractional order mem-elements (FOMEs) based on two- and three-port mutators, respectively. Three different topologies based on two-port mutators are implemented using the four members of the second-generation current conveyor (CCII) family which is useful to achieve several ...
Nariman A. Khalil +3 more
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Fractional-order circuit elements with memory
Proceedings of the 13th International Carpathian Control Conference (ICCC), 2012This paper deals with the fractional-order memristive, memcapacitative, and meminductive systems and their utilization in design of the new circuits with memory. We provide a mathematical description of such systems by using a technique of the fractional calculus. Some possible applications of “mem” systems are mentioned in article as well.
Ivo Petras, YangQuan Chen
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Variable-, Fractional-Order Oscillation Element
2016The dynamic properties of the variable-, fractional-order oscillation element (VFOOE) are investigated in the paper. The equations and the block diagram are derived. Stability and existence conditions of solutions of proposed systems are considered. For the illustration numerical examples are presented.
Dorota Mozyrska, Piotr Ostalczyk
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Symbolic Analysis of Networks Containing Fractional-Order Elements
2021 Communication and Information Technologies (KIT), 2021This paper introduces a conception of a software tool for symbolic analysis of linear fractional-order circuits and also for other analyses which profit from the symbolic formulae: the semi-symbolic analysis of w-domain transfer function, AC analysis, zero-pole location, stability analysis, and step and impulse response computation.
Dalibor Biolek +4 more
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Variable-, Fractional-Order Inertial Element
2016The paper concerns the dynamic properties of the variable-, fractional-order inertial element (VFOIE). The application of a negative feedback to the variable-, fractional-order integrator (VFOI) leads to the VFOIE. The investigations are supported by numerical examples.
Piotr Ostalczyk, Dorota Mozyrska
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