Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm

Nature-inspired optimization techniques are useful tools in electrical engineering problems to minimize or maximize an objective function. In this paper, we use the firefly algorithm to improve the optimal solution for the problem of directional overcurrent relays (DOCRs). It is a complex and highly...

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Main Authors: Muhammad Sulaiman, Waseem, Shakoor Muhammad, Asfandyar Khan
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/7039790
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author Muhammad Sulaiman
Waseem
Shakoor Muhammad
Asfandyar Khan
author_facet Muhammad Sulaiman
Waseem
Shakoor Muhammad
Asfandyar Khan
author_sort Muhammad Sulaiman
collection DOAJ
description Nature-inspired optimization techniques are useful tools in electrical engineering problems to minimize or maximize an objective function. In this paper, we use the firefly algorithm to improve the optimal solution for the problem of directional overcurrent relays (DOCRs). It is a complex and highly nonlinear constrained optimization problem. In this problem, we have two types of design variables, which are variables for plug settings (PSs) and the time dial settings (TDSs) for each relay in the circuit. The objective function is to minimize the total operating time of all the basic relays to avoid unnecessary delays. We have considered four models in this paper which are IEEE (3-bus, 4-bus, 6-bus, and 8-bus) models. From the numerical results, it is obvious that the firefly algorithm with certain parameter settings performs better than the other state-of-the-art algorithms.
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institution Kabale University
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
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spelling doaj-art-74181a7b1f324991be092bca7e1819dc2025-02-03T01:06:41ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/70397907039790Improved Solutions for the Optimal Coordination of DOCRs Using Firefly AlgorithmMuhammad Sulaiman0Waseem1Shakoor Muhammad2Asfandyar Khan3Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan, PakistanNature-inspired optimization techniques are useful tools in electrical engineering problems to minimize or maximize an objective function. In this paper, we use the firefly algorithm to improve the optimal solution for the problem of directional overcurrent relays (DOCRs). It is a complex and highly nonlinear constrained optimization problem. In this problem, we have two types of design variables, which are variables for plug settings (PSs) and the time dial settings (TDSs) for each relay in the circuit. The objective function is to minimize the total operating time of all the basic relays to avoid unnecessary delays. We have considered four models in this paper which are IEEE (3-bus, 4-bus, 6-bus, and 8-bus) models. From the numerical results, it is obvious that the firefly algorithm with certain parameter settings performs better than the other state-of-the-art algorithms.http://dx.doi.org/10.1155/2018/7039790
spellingShingle Muhammad Sulaiman
Waseem
Shakoor Muhammad
Asfandyar Khan
Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm
Complexity
title Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm
title_full Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm
title_fullStr Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm
title_full_unstemmed Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm
title_short Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm
title_sort improved solutions for the optimal coordination of docrs using firefly algorithm
url http://dx.doi.org/10.1155/2018/7039790
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