Optimal charging of fractional-order circuits with Cuckoo search,Journal of Advanced Research

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Optimal charging of fractional-order circuits with Cuckoo search
Journal of Advanced Research ( IF 11.4 ) Pub Date : 2020-12-03 , DOI: 10.1016/j.jare.2020.11.014
A M AbdelAty ₁ , Mohammed E Fouda _{2,

3} , Menna T M M Elbarawy ₁ , A G Radwan _{2,

4}

Affiliation

Introduction

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.

Objectives

This study aims to find approximate solutions of the most energy-efficient input charging function in fractional-order RC circuits.

Methods

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.

Results

he efficiency surfaces and input voltage charging curves are discussed for fractional-order in the range $0.5 < α \leq 1$ .

Conclusion

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 $α$ .

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