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Symmetrical T-network with fractional order elements
2016 IEEE 16th International Conference on Environment and Electrical Engineering (EEEIC), 2016The paper presents a symmetrical T-network utilizing fractional order elements. Fractional calculus was used for its modeling. A comparative analysis of a classic T-network and fractional order T-network step responses was carried out for both no-load condition and short-circuit condition.
Maciej Wlodarczyk, Jaroslaw Szczepaniak
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On the Energy Stored in Fractional-Order Electrical Elements
Volume 4: 18th Design for Manufacturing and the Life Cycle Conference; 2013 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, 2013In this paper, fractional-order electrical elements are considered as energy storage devices. They are studied by comparing the energy available from the element to do future external work, relative to the energy input into the element in the past. A standard circuit realization is used to represent the fractional-order element connected to an inductor
Tom T. Hartley +3 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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Energy Considerations for Mechanical Fractional-Order Elements
Journal of Computational and Nonlinear Dynamics, 2014This paper considers the energy aspects of fractional-order elements defined by the equation: force is proportional to the fractional-order derivative of displacement, with order varying from zero to two. In contrast to the typically conservative assumption of classical physics that leads to the potential and kinetic energy expressions, a number of ...
Carl F. Lorenzo, Tom T. Hartley
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The modeling of multibody systems with fractional-order elements
Proceedings of the 14th International Carpathian Control Conference (ICCC), 2013The fractional-order models, that is models described by differential equations of arbitrary real order, are gaining popularity in advanced control theory. In this study, an implementation of fractional-order elements in multibody dynamics systems is shown.
Janusz Kowal, Wojciech Lepiarz
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Influence of Fractional-Order Element Properties on Frequency Filter Characteristics
2019 11th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2019This paper analyses the influence of fractional-order (FO) impedance element properties on characteristics of frequency filter where the element is employed. Tow-Thomas topology with one capacitor replaced by FO impedance is examined. This impedance is emulated by fifth-order Foster I network which has limited validity of FO impedance properties ...
David Kubánek +2 more
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Realizing fractional-order elements using CCII based mutators
2016 28th International Conference on Microelectronics (ICM), 2016Nowadays, impedance converter and inverter circuits are very vital for the fractional order circuit design. Mutators are one of the common circuits used for that purpose. So, two fractional order mutators are discussed in this work; the first one converts a resistance into a fractional order element.
Ahmed Soltan +2 more
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Analog Implementation of Fractional-Order Elements and Their Applications.
2019With advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received considerable attention. This is due to the fact that this powerful mathematical tool allows us to describe and model a real-world ...
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Approximating the Fractional-Order Element for the Robust Control Framework
2022 American Control Conference (ACC), 2022Vlad Mihaly +3 more
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Adjustable Filter With Fractional-Order Element
2018This paper deals with fractal-order frequency filter, its design methods and practical use. The proposed filter consists of operational transconductance amplifiers (OTAs), adjustable current amplifier (ACA), dual-output current follower (DO-CF) and fractional-order capacitor (FOE).
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