This article introduces a novel heuristic algorithm based on Non-Linear Threshold Accepting Function to solve the challenging non-convex economic dispatch problem. Economic dispatch is a power system management tool; it is used to allocate the total power generation to the generating units to meet the active load demand. The power systems are highly nonlinear due to the physical and operational constraints. The complexity of the resulting non-convex objective cost function led to inabilities to solve the problem by using analytical approaches, especially in the case of large-scale problems. Optimization techniques based on heuristics are used to overcome these difficulties. The Non-Linear Threshold Accepting Algorithm has demonstrated efficiency in solving various instances of static and dynamic allocation and scheduling problems but has never been applied to solve the economic dispatch problem. Existing benchmark systems are used to evaluate the performance of the proposed heuristic. Additional random instances with different sizes are generated to compare the adopted heuristic to the Harmony Search and the Whale Optimization Algorithms. The obtained results showed the superiority of the proposed algorithm in finding, for all considered instances, a high-quality solution in minimum computational time.
Accepté le :
Première publication :
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DOI : 10.1051/ro/2019043
Mots-clés : Economic dispatch, non-convex optimization, constraints optimization, meta-heuristics
@article{RO_2020__54_5_1269_0,
author = {Nahas, Nabil and Darghouth, Mohamed Noomane and Abouheaf, Mohammed},
title = {A {Non-Linear-Threshold-Accepting} {Function} {Based} {Algorithm} for the {Solution} of {Economic} {Dispatch} {Problem}},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {1269--1289},
publisher = {EDP-Sciences},
volume = {54},
number = {5},
year = {2020},
doi = {10.1051/ro/2019043},
mrnumber = {4109812},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2019043/}
}
TY - JOUR AU - Nahas, Nabil AU - Darghouth, Mohamed Noomane AU - Abouheaf, Mohammed TI - A Non-Linear-Threshold-Accepting Function Based Algorithm for the Solution of Economic Dispatch Problem JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 1269 EP - 1289 VL - 54 IS - 5 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2019043/ DO - 10.1051/ro/2019043 LA - en ID - RO_2020__54_5_1269_0 ER -
%0 Journal Article %A Nahas, Nabil %A Darghouth, Mohamed Noomane %A Abouheaf, Mohammed %T A Non-Linear-Threshold-Accepting Function Based Algorithm for the Solution of Economic Dispatch Problem %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 1269-1289 %V 54 %N 5 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2019043/ %R 10.1051/ro/2019043 %G en %F RO_2020__54_5_1269_0
Nahas, Nabil; Darghouth, Mohamed Noomane; Abouheaf, Mohammed. A Non-Linear-Threshold-Accepting Function Based Algorithm for the Solution of Economic Dispatch Problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 5, pp. 1269-1289. doi : 10.1051/ro/2019043. http://archive.numdam.org/articles/10.1051/ro/2019043/
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