A Robust Optimization Approach for Optimal Power Flow Solutions Using Rao Algorithms

This paper offers three easy-to-use metaphor-less optimization algorithms proposed by Rao to solve the optimal power flow (OPF) problem. Rao algorithms are parameter-less optimization algorithms. As a result, algorithm-specific parameter tuning is not required at all. This quality makes these algori...

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Main Authors: Saket Gupta, Narendra Kumar, Laxmi Srivastava, Hasmat Malik, Amjad Anvari-Moghaddam, Fausto Pedro García Márquez
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/17/5449
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spelling doaj-a0c402f66d1e4cc89f266b44a3de51142021-09-09T13:43:31ZengMDPI AGEnergies1996-10732021-09-01145449544910.3390/en14175449A Robust Optimization Approach for Optimal Power Flow Solutions Using Rao AlgorithmsSaket Gupta0Narendra Kumar1Laxmi Srivastava2Hasmat Malik3Amjad Anvari-Moghaddam4Fausto Pedro García Márquez5Electrical Engineering Department, Delhi Technological University, Delhi 110042, IndiaElectrical Engineering Department, Delhi Technological University, Delhi 110042, IndiaElectrical Engineering Department, Madhav Institute of Technology & Science, Gwalior 474005, IndiaBerkeley Education Alliance for Research in Singapore (BEARS), University Town, NUS Campus, Singapore 138602, SingaporeDepartment of Energy (AAU Energy), Aalborg University, 9220 Aalborg, DenmarkIngenium Research Group, Universidad Castilla-La Mancha, 13071 Ciudad Real, SpainThis paper offers three easy-to-use metaphor-less optimization algorithms proposed by Rao to solve the optimal power flow (OPF) problem. Rao algorithms are parameter-less optimization algorithms. As a result, algorithm-specific parameter tuning is not required at all. This quality makes these algorithms simple to use and able to solve various kinds of complex constrained optimization and engineering problems. In this paper, the main aim to solve the OPF problem is to find the optimal values of the control variables in a given electrical network for fuel cost minimization, real power losses minimization, emission cost minimization, voltage profile improvement, and voltage stability enhancement, while all the operating constraints are satisfied. To demonstrate the efficacy of Rao algorithms, these algorithms have been employed in three standard IEEE test systems (30-bus, 57-bus, and 118-bus) to solve the OPF problem. The OPF results of Rao algorithms and the results provided by other swarm intelligence (SI)/evolutionary computing (EC)-based algorithms published in recent literature have been compared. Based on the outcomes, Rao algorithms are found to be robust and superior to their competitors.https://www.mdpi.com/1996-1073/14/17/5449fuel costoptimal power flowpower lossesvoltage stabilityvoltage profileemission
collection DOAJ
language English
format Article
sources DOAJ
author Saket Gupta
Narendra Kumar
Laxmi Srivastava
Hasmat Malik
Amjad Anvari-Moghaddam
Fausto Pedro García Márquez
spellingShingle Saket Gupta
Narendra Kumar
Laxmi Srivastava
Hasmat Malik
Amjad Anvari-Moghaddam
Fausto Pedro García Márquez
A Robust Optimization Approach for Optimal Power Flow Solutions Using Rao Algorithms
Energies
fuel cost
optimal power flow
power losses
voltage stability
voltage profile
emission
author_facet Saket Gupta
Narendra Kumar
Laxmi Srivastava
Hasmat Malik
Amjad Anvari-Moghaddam
Fausto Pedro García Márquez
author_sort Saket Gupta
title A Robust Optimization Approach for Optimal Power Flow Solutions Using Rao Algorithms
title_short A Robust Optimization Approach for Optimal Power Flow Solutions Using Rao Algorithms
title_full A Robust Optimization Approach for Optimal Power Flow Solutions Using Rao Algorithms
title_fullStr A Robust Optimization Approach for Optimal Power Flow Solutions Using Rao Algorithms
title_full_unstemmed A Robust Optimization Approach for Optimal Power Flow Solutions Using Rao Algorithms
title_sort robust optimization approach for optimal power flow solutions using rao algorithms
publisher MDPI AG
series Energies
issn 1996-1073
publishDate 2021-09-01
description This paper offers three easy-to-use metaphor-less optimization algorithms proposed by Rao to solve the optimal power flow (OPF) problem. Rao algorithms are parameter-less optimization algorithms. As a result, algorithm-specific parameter tuning is not required at all. This quality makes these algorithms simple to use and able to solve various kinds of complex constrained optimization and engineering problems. In this paper, the main aim to solve the OPF problem is to find the optimal values of the control variables in a given electrical network for fuel cost minimization, real power losses minimization, emission cost minimization, voltage profile improvement, and voltage stability enhancement, while all the operating constraints are satisfied. To demonstrate the efficacy of Rao algorithms, these algorithms have been employed in three standard IEEE test systems (30-bus, 57-bus, and 118-bus) to solve the OPF problem. The OPF results of Rao algorithms and the results provided by other swarm intelligence (SI)/evolutionary computing (EC)-based algorithms published in recent literature have been compared. Based on the outcomes, Rao algorithms are found to be robust and superior to their competitors.
topic fuel cost
optimal power flow
power losses
voltage stability
voltage profile
emission
url https://www.mdpi.com/1996-1073/14/17/5449
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