Design and Applications of Fractional-Order Electrical Power Circuits and Systems

Dear Colleagues,

Fractional calculus (FC) is a logical progression of regular calculus that contains derivatives and integrals of a non-integral-order. FC has gotten a great deal of attention over the past three decades due to the fact that it is a useful and widely utilized method for better modeling and management of processes in a variety of scientific and engineering fields. An electric power system is defined as a network of electrical components used to supply (generate), transmit, and consume electrical power. Typically, the traditional integer order differential equation is used to describe the most well-known electrical components of the network. However, other studies have lately been conducted to represent these components in a different manner. We are talking here about the usage of fractional order derivatives. The fractional concept has numerous definitions, including the Caputo and Riemann–Liouville ones. Motivated by these and other findings from fractional calculus-based modeling of electrical elements and devices, researchers have begun to delve further into the theory and applications of fractional circuits. This Special Issue's goal is to include new theoretical and practical works on fractional order circuits written by leading researchers in the field. Analog modeling of constant and variable order operators and systems; fractional order filters; analysis, synthesis, and design methods for circuits with fractional order elements; and the modeling of electrical and electronic devices, such as the latest generation of ultracapacitors, batteries, and fuel cells. The primary themes of this Special Issue include, but are not limited to, the following:

• modeling of electrical and electronic devices with fractional order derivatives;
• design methods for circuits with fractional order elements;
• analysis, synthesis of electrical and electronic devices with fractional order derivatives;
• analog modeling of constant and variable order operators and systems;
• control of electrical power systems with fractional order control;
• and state estimation of fractional order power systems.

Dr. Abdellatif Ben Makhlouf
Dr. Hassen Fourati
Dr. Omar Naifar
Guest Editors

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• fractional order systems
• electrical power systems
• electronic devices