Optimal Power Flow: A Review of State-of-the-Art Techniques and Future Perspectives

The Optimal Power Flow (OPF) problem has become increasingly pivotal in the planning and operation of modern power systems. With the expansion of the grid scale, the advent of smart grid technologies, and the unpredictable nature of renewable energy sources (RESs), interest in OPF has surged. These...

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Main Authors: Ahmed Babiker, Sulaiman S. Ahmad, Ijaz Ahmed, Muhammad Khalid, Mohammad A. Abido, Fahad Saleh Al-Ismail
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/10945774/
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author Ahmed Babiker
Sulaiman S. Ahmad
Ijaz Ahmed
Muhammad Khalid
Mohammad A. Abido
Fahad Saleh Al-Ismail
author_facet Ahmed Babiker
Sulaiman S. Ahmad
Ijaz Ahmed
Muhammad Khalid
Mohammad A. Abido
Fahad Saleh Al-Ismail
author_sort Ahmed Babiker
collection DOAJ
description The Optimal Power Flow (OPF) problem has become increasingly pivotal in the planning and operation of modern power systems. With the expansion of the grid scale, the advent of smart grid technologies, and the unpredictable nature of renewable energy sources (RESs), interest in OPF has surged. These challenges with new energy storage have introduced a heightened level of uncertainty into the power system’s operation as well as planning. Because of this, OPF is seen as an important tool for achieving different goals, such as optimizing the distribution of resources, making electrical networks more efficient, and so on. However, the OPF problem is inherently difficult to solve because of its non-linear characteristics. Different constraints and limitations intrinsic to real power system grids further accentuate this complexity. Moreover, modern power systems have incorporated new constraints, which make the OPF problem more complex in terms of mathematical formulation and solution. This paper offers a comprehensive and foundational review of OPF, covering the main concept, mathematical formulation, OPF types, comprehensive OPF optimization problem concepts, and the various methods developed to solve it. Additionally, it explores the evolution of these methods from conventional approaches to advanced and recent techniques, including mathematical methods and artificial intelligence methods, which include metaheuristic (search-based) and machine learning algorithms (data-driven). The paper also discusses various types of convex relaxation methods in depth. Ultimately, the paper highlights key gaps, challenges, and opportunities for future research.
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issn 2169-3536
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spelling doaj-art-7901a91d75d04d24aa3ea67e295d074f2025-08-20T03:18:26ZengIEEEIEEE Access2169-35362025-01-0113600126003910.1109/ACCESS.2025.355616810945774Optimal Power Flow: A Review of State-of-the-Art Techniques and Future PerspectivesAhmed Babiker0https://orcid.org/0009-0009-4648-2897Sulaiman S. Ahmad1https://orcid.org/0000-0001-6611-1051Ijaz Ahmed2Muhammad Khalid3https://orcid.org/0000-0001-7779-5348Mohammad A. Abido4https://orcid.org/0000-0001-5292-6938Fahad Saleh Al-Ismail5https://orcid.org/0000-0002-8743-5706Electrical Engineering Department, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi ArabiaElectrical Engineering Department, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi ArabiaInterdisciplinary Research Center for Sustainable Energy Systems (IRC-SES), King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi ArabiaElectrical Engineering Department, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi ArabiaElectrical Engineering Department, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi ArabiaElectrical Engineering Department, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi ArabiaThe Optimal Power Flow (OPF) problem has become increasingly pivotal in the planning and operation of modern power systems. With the expansion of the grid scale, the advent of smart grid technologies, and the unpredictable nature of renewable energy sources (RESs), interest in OPF has surged. These challenges with new energy storage have introduced a heightened level of uncertainty into the power system’s operation as well as planning. Because of this, OPF is seen as an important tool for achieving different goals, such as optimizing the distribution of resources, making electrical networks more efficient, and so on. However, the OPF problem is inherently difficult to solve because of its non-linear characteristics. Different constraints and limitations intrinsic to real power system grids further accentuate this complexity. Moreover, modern power systems have incorporated new constraints, which make the OPF problem more complex in terms of mathematical formulation and solution. This paper offers a comprehensive and foundational review of OPF, covering the main concept, mathematical formulation, OPF types, comprehensive OPF optimization problem concepts, and the various methods developed to solve it. Additionally, it explores the evolution of these methods from conventional approaches to advanced and recent techniques, including mathematical methods and artificial intelligence methods, which include metaheuristic (search-based) and machine learning algorithms (data-driven). The paper also discusses various types of convex relaxation methods in depth. Ultimately, the paper highlights key gaps, challenges, and opportunities for future research.https://ieeexplore.ieee.org/document/10945774/Optimal power flow (OPF)machine learningmetaheuristic optimization algorithmsOPF convex relaxationartificial intelligence methodsrenewable energy systems
spellingShingle Ahmed Babiker
Sulaiman S. Ahmad
Ijaz Ahmed
Muhammad Khalid
Mohammad A. Abido
Fahad Saleh Al-Ismail
Optimal Power Flow: A Review of State-of-the-Art Techniques and Future Perspectives
IEEE Access
Optimal power flow (OPF)
machine learning
metaheuristic optimization algorithms
OPF convex relaxation
artificial intelligence methods
renewable energy systems
title Optimal Power Flow: A Review of State-of-the-Art Techniques and Future Perspectives
title_full Optimal Power Flow: A Review of State-of-the-Art Techniques and Future Perspectives
title_fullStr Optimal Power Flow: A Review of State-of-the-Art Techniques and Future Perspectives
title_full_unstemmed Optimal Power Flow: A Review of State-of-the-Art Techniques and Future Perspectives
title_short Optimal Power Flow: A Review of State-of-the-Art Techniques and Future Perspectives
title_sort optimal power flow a review of state of the art techniques and future perspectives
topic Optimal power flow (OPF)
machine learning
metaheuristic optimization algorithms
OPF convex relaxation
artificial intelligence methods
renewable energy systems
url https://ieeexplore.ieee.org/document/10945774/
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