A Cauchy-Gaussian Quantum-Behaved Bat Algorithm Applied to Solve the Economic Load Dispatch Problem

Francois Xavier Rugema,Gangui Yan,Shanfeng Zhang,Sylvere Mugemanyi,Christophe Bananeza,Qi Jia

doi:10.1109/access.2020.3034730

Francois Xavier Rugema, Gangui Yan + Show 4 more

Open Access

https://doi.org/10.1109/access.2020.3034730

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Journal: IEEE Access	Publication Date: Nov 3, 2020
Citations: 91	License type: CC BY 4.0

Affiliation: Northeast Electric Power University

Abstract

In this paper, a novel Cauchy-Gaussian quantum-behaved bat algorithm (CGQBA) is applied to solve the economic load dispatch (ELD) problem. The bat algorithm (BA) is an acknowledged metaheuristic optimization algorithm owing to its performance. However, the classical BA presents some weaknesses, such as premature convergence. To withstand the drawbacks of the BA, quantum mechanics theories and Gaussian and Cauchy operators are integrated into the standard BA to enhance its effectiveness. Since the economic load dispatch is a nonlinear, complex and constrained optimization problem, its main objective is to reduce the total generation cost while matching the equality and inequality constraints of the system. The validity of the CGQBA is tested on six standard benchmark functions with different characteristics. The numerical results indicate that the CGQBA is effective and superior to many other algorithms. Moreover, the CGQBA is applied to solve the ELD problems on various test systems including 3,6,20, 40,110 and 160 implemented generating units. The simulation results illustrate the strength of the CGQBA compared with other algorithms recently reported in the literature.

Highlights

Economic load dispatch (ELD) is one of the hot topics in the field of power system optimization [1]
In this paper, a proposed Cauchy-Gaussian quantum-behaved bat algorithm is successfully applied for solving the ELD problem
Quantum mechanics theories and the Gaussian and Cauchy operators are integrated into the classical bat algorithm to improve its performance

Summary

INTRODUCTION

Economic load dispatch (ELD) is one of the hot topics in the field of power system optimization [1]. A hybrid optimization method that integrates PSO and termite colony optimization (TCO), known as HPSTCO, has been developed and applied for solving the dynamic economic dispatch (DED) problem [58] In this HPSTCO algorithm, PSO iterations are tasked with global searching, while TCO iterations are assigned to explore the vicinity of the global solution. The proposed approach transforms the Cartesian search space into polar coordinates as a means for providing strong search capacity In this method, three modifications are introduced into the BA: 1) Lévy flight and a genetic mutation operator are employed to increase the population diversity, and 2) the loudness parameters are tuned to accelerate the convergence rate.

ED PROBLEM FORMULATION

QUANTUM-BEHAVED BAT ALGORITHM

IMPLEMENTATION OF CGQBA TO SOLVE ED PROBLEM Step 1

RESULTS AND DISCUSSION

CONCLUSION