Optimal charging of fractional-order circuits with Cuckoo search

• Published in: Journal of advanced research Vol. 32; pp. 119 - 131
• Main Authors: AbdelAty, A.M., Fouda, Mohammed E., Elbarawy, Menna T.M.M., Radwan, A.G.
• Format: Journal Article
• Language: English
• Published: Egypt Elsevier B.V 01-09-2021; Elsevier
• Subjects: Cuckoo search optimizer; Fractional capacitor charging; Fractional-order circuits; Optimal charging; Optimal charging; Fractional capacitor charging; Cuckoo search optimizer; Fractional-order circuits
• ISSN: 2090-1232; 2090-1224
• DOI: 10.1016/j.jare.2020.11.014

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•The differences between two main charging methodologies in FO circuits are depicted.•The delivered charge, energy loss, and efficiency for FO circuits are studied.•Optimal charging of three FO RC networks is obtained using compositional functional.•Approximate solutions are reached using a prototype CPE voltage function and CS.
Optimal charging of RC circuits is a well-studied problem in the integer-order domain due to its importance from economic and system temperature hazards perspectives. However, the fractional-order counterpart of this problem requires investigation.
This study aims to find approximate solutions of the most energy-efficient input charging function in fractional-order RC circuits.
This paper uses a meta-heuristic optimization technique called Cuckoo search optimizer to attain the maximum charging efficiency of three common fractional-order RC circuits. An analytical expression of the fractional capacitor voltage is suggested such that it satisfies the boundary conditions of the optimal charging problem. The problem is formulated as a fractional-order calculus of variations problem with compositional functional. The numerical solutions are obtained with the meta-heuristic optimization algorithm’s help to avoid the complexities of the analytical approach.
he efficiency surfaces and input voltage charging curves are discussed for fractional-order in the range 0.5<α≤1.
The optimized charging function can approximate the optimal charging curve using at most 4 terms. The charging time and the resistive parameters have the most dominant effect on charging efficiency at constant fractional-order α.