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Optimal Power Flow (OPF) can be modeled as a non-convex Quadratically Constrained Quadratic Program (QCQP). Our purpose is to solve OPF to global optimality. To this end, we specialize the Mixed-Integer Quadratic Convex Reformulation method…

最优化与控制 · 数学 2019-03-14 Hadrien Godard , Sourour Elloumi , Amélie Lambert , Jean Maeght , Manuel Ruiz

The Alternating Current Optimal Power Flow (ACOPF) problem is a core task in power system operations, aimed at determining cost-effective generation dispatch while satisfying physical and operational constraints. However, conventional ACOPF…

最优化与控制 · 数学 2026-05-15 Vincenzo Di Vito , Kaarthik Sundar , Ferdinando Fioretto , Deepjyoti Deka

Unit Commitment (UC) and Optimal Power Flow (OPF) are two fundamental problems in short-term electric power systems planning that are traditionally solved sequentially. The state-of-the-art mostly uses a direct current flow approximation of…

最优化与控制 · 数学 2026-01-22 Deniz Tuncer , Burak Kocuk

We propose a generic multistage stochastic model for the Alternating Current Optimal Power Flow (AC OPF) problem for radial distribution networks, to account for the random electricity production of renewable energy sources and dynamic…

最优化与控制 · 数学 2021-11-19 Maxime Grangereau , Wim van Ackooij , Stéphane Gaubert

We analyze and contrast two ways to train machine learning models for solving AC optimal power flow (OPF) problems, distinguished with the loss functions used. The first trains a mapping from the loads to the optimal dispatch decisions,…

系统与控制 · 电气工程与系统科学 2024-02-02 Ge Chen , Junjie Qin

Direct-current microgrids (DC-MGs) can operate in either grid-connected or stand-alone mode. In particular, stand-alone DC-MG has many distinct applications. However, the optimal power flow problem of a stand-alone DC-MG is inherently…

最优化与控制 · 数学 2017-08-18 Jia Li , Feng Liu , Zhaojian Wang , Steven H Low , Shengwei Mei

The optimal power flow (OPF) is an optimization model dedicated to the development of computational tools used for the planning and operation of electric power systems (EPS). In this work, based on the polar formulation, an extended convex…

DC Optimal Power Flow (DC-OPF) problems optimize the generators' active power setpoints while satisfying constraints based on the DC power flow linearization. The computational tractability advantages of DC-OPF problems come at the expense…

最优化与控制 · 数学 2025-12-23 Babak Taheri , Daniel K. Molzahn

The AC Optimal Power Flow (AC-OPF) problem is a core building block in electrical transmission system. It seeks the most economical active and reactive generation dispatch to meet demands while satisfying transmission operational limits. It…

系统与控制 · 电气工程与系统科学 2023-03-16 Terrence W. K. Mak , Ferdinando Fioretto , Pascal VanHentenryck

This paper is concerned with a recently developed paradigm for population-based optimization, termed particle filter optimization (PFO). This paradigm is attractive in terms of coherence in theory and easiness in mathematical analysis and…

机器学习 · 统计学 2018-11-26 Bin Liu , Yaochu Jin

The Optimal power flow (OPF) problem contains many constraints. However, equality constraints along with a limited set of active inequality constraints encompass sufficient information to determine the feasible space of the problem. In this…

系统与控制 · 电气工程与系统科学 2020-06-09 Fouad Hasan , Amin Kargarian , Javad Mohammadi

One potential future for the next generation of smart grids is the use of decentralized optimization algorithms and secured communications for coordinating renewable generation (e.g., wind/solar), dispatchable devices (e.g.,…

系统与控制 · 电气工程与系统科学 2023-01-24 Terrence W. K. Mak , Minas Chatzos , Mathieu Tanneau , Pascal Van Hentenryck

The solution to an optimal power flow (OPF) problem provides a minimum cost operating point for an electric power system. The performance of OPF solution techniques strongly depends on the problem's feasible space. This paper presents an…

最优化与控制 · 数学 2016-08-03 Daniel K. Molzahn

One of the most common control decisions faced by power system operators is the question of how to dispatch generation to meet demand for power. This is a complex optimization problem that includes many nonlinear, non convex constraints as…

最优化与控制 · 数学 2013-06-14 Russell Bent , Daniel Bienstock , Michael Chertkov

The optimal power flow problem is central to many tasks in the design and operation of electric power grids. This problem seeks the minimum cost operating point for an electric power grid while satisfying both engineering requirements and…

This study investigates the economic dispatch and optimal power flow (OPF) for microgrids, focusing on two configurations: a single-bus islanded microgrid and a three-bus grid-tied microgrid. The methodologies integrate renewable energy…

系统与控制 · 电气工程与系统科学 2024-12-02 Saskia A. Putri , Xiaoyu Ge , Javad Khazaei

Path planning is essential for unmanned aerial vehicles (UAVs) as it determines the path that the UAV needs to follow to complete a task. This work addresses this problem by introducing a new algorithm called navigation variable-based…

机器人学 · 计算机科学 2025-01-08 Thi Thuy Ngan Duong , Duy-Nam Bui , Manh Duong Phung

Due to changes in electric distribution grid operation, new operation regimes have been recommended. Distribution grid optimal power flow (DOPF) has received tremendous attention in the research community, yet it has not been fully adopted…

系统与控制 · 电气工程与系统科学 2022-12-12 Sarmad Hanif , Rabayet Sadnan , Tylor E. Slay , Nawaf Nazir , Shiva Poudel , Bilal Bhatti , Andy Reiman , Jim Follum , Joseph McKinsey , Tarek Elgindy , Rui Yang

Optimal power flow (OPF) problems are non-convex and large-scale optimization problems with important applications in power networks. This paper proposes the scheduled-asynchronous algorithm to solve a distributed semidefinite programming…

最优化与控制 · 数学 2017-10-10 Chin-Yao Chang , Jorge Cortes , Sonia Martinez

In this paper, we develop a distributionally robust chance-constrained formulation of the Optimal Power Flow problem (OPF) whereby the system operator can leverage contextual information. For this purpose, we exploit an ambiguity set based…

最优化与控制 · 数学 2022-10-05 Adrián Esteban-Pérez , Juan M. Morales