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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Format: | Article |
Language: | English |
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Wiley
2018-01-01
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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. |
format | Article |
id | doaj-art-74181a7b1f324991be092bca7e1819dc |
institution | Kabale University |
issn | 1076-2787 1099-0526 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Complexity |
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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