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Real-time optimal power flow (RT-OPF) under wind energy penetration is highly desired but extremely difficult to realize. This is basically due to the conflict between the fast changes in wind power generation and the slow response from the…

Optimization and Control · Mathematics 2018-07-02 Erfan Mohagheghi , Aouss Gabash , Pu Li

The utility of domain-specific knowledge for modeling, simulation, and optimization has been demonstrated for various research problem domains, including power systems. The concept of Equivalent Circuit Programming was previously developed…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Marko Jereminov , Larry Pileggi

This review explores the application of intelligent optimization algorithms to Multi-Objective Optimal Power Flow (MOPF) in enhancing modern power systems. It delves into the challenges posed by the integration of renewables, smart grids,…

Neural and Evolutionary Computing · Computer Science 2024-08-06 Yuyan Li

Optimal power flow (OPF) problem is a class of large-scale and non-convex optimization problem. Various algorithms are proposed to solve the challenging OPF problem. Recent studies show that semidefinite programming (SDP) can either provide…

Optimization and Control · Mathematics 2018-02-09 Chin-Yao Chang , Wei Zhang

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…

Optimization and Control · Mathematics 2022-10-05 Adrián Esteban-Pérez , Juan M. Morales

Higher levels of renewable electricity generation increase uncertainty in power system operation. To ensure secure system operation, new tools that account for this uncertainty are required. In this paper, we formulate a chance-constrained…

Optimization and Control · Mathematics 2019-05-07 Line Roald , Göran Andersson

Using machine learning to obtain solutions to AC optimal power flow has recently been a very active area of research due to the astounding speedups that result from bypassing traditional optimization techniques. However, generally ensuring…

Optimization and Control · Mathematics 2022-02-18 Kyri Baker

Transmission system operators need to adapt their decision-making tools to the technological evolutions of the twenty first century. A computation inherent to most tools seeks to find alternating-current power flows that minimize power loss…

Optimization and Control · Mathematics 2016-08-15 Cédric Josz

The coordinated alternating current optimal power flow (ACOPF) for coupled transmission-distribution grids has become crucial to handle problems related to high penetration of renewable energy sources (RESs). However, obtaining all system…

Optimization and Control · Mathematics 2022-08-04 Wentian Lu , Kaijun Xie , Mingbo Liu , Xiaogang Wang , Lefeng Cheng

Alternating-Current Optimal Power Flow (AC-OPF) is an optimization problem critical for planning and operating the power grid. The problem is traditionally formulated using only continuous variables. Typically, control devices with…

Optimization and Control · Mathematics 2021-10-15 Timothy McNamara , Amritanshu Pandey , Aayushya Agarwal , Larry Pileggi

This paper introduces a framework to capture previously intractable optimization constraints and transform them to a mixed-integer linear program, through the use of neural networks. We encode the feasible space of optimization problems…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Ilgiz Murzakhanov , Andreas Venzke , George S. Misyris , Spyros Chatzivasileiadis

The growing scale of power systems and the increasing uncertainty introduced by renewable energy sources necessitates novel optimization techniques that are significantly faster and more accurate than existing methods. The AC Optimal Power…

Optimization and Control · Mathematics 2025-12-02 Andrew Rosemberg , Michael Klamkin , Pascal Van Hentenryck

The AC Optimal Power Flow (AC-OPF) problem is central to power system operation but challenging to solve efficiently due to its nonconvex and nonlinear nature. Neural networks (NNs) offer fast surrogates, yet their black-box behavior raises…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Bastien Giraud , Rahul Nellikath , Johanna Vorwerk , Maad Alowaifeer , Spyros Chatzivasileiadis

The increasing penetration of renewable energy resources, paired with the fact that load can vary significantly, introduce a high degree of uncertainty in the behavior of modern power grids. Given that classical dispatch solutions are…

Optimization and Control · Mathematics 2019-05-31 Mohammadreza Chamanbaz , Fabrizio Dabbene , Constantino Lagoa

The constraints induced by prohibited zones (PZs) were traditionally formulated as multiple disjoint regions. It was difficult to solve the optimal power flow (OPF) problems subject to the disjoint constraints. This paper proposes a new…

Signal Processing · Electrical Eng. & Systems 2019-01-09 Xian Liu , Hamzeh Davarikia

A fast and scalable iterative methodology for solving the security-constrained optimal power flow (SCOPF) problem is proposed using problem decomposition and the inverse matrix modification lemma. The SCOPF formulation tackles system…

Optimization and Control · Mathematics 2024-07-22 Matias Vistnes , Vijay Venu Vadlamudi , Oddbjørn Gjerde

Optimal power flow (OPF) is a fundamental tool for analyzing the characteristics of bipolar DC distribution network (DCDN). However, existing OPF models face challenges in reflecting the power distribution and exchange of bipolar DCDN…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Yiyao Zhou , Qianggang Wang , Yuan Chi , Jianquan Liao , Tao Huang , Niancheng Zhou , Xiaolong Xu , Xuefei Zhang

In the Equal Maximum Flow Problem (EMFP), we aim for a maximum flow where we require the same flow value on all edges in some given subsets of the edge set. In this paper, we study the closely related Almost Equal Maximum Flow Problems…

Data Structures and Algorithms · Computer Science 2021-04-13 Rebekka Haese , Till Heller , Sven O. Krumke

Despite cascading failures being the central cause of blackouts in power transmission systems, existing operational and planning decisions are made largely by ignoring their underlying cascade potential. This paper posits a…

Optimization and Control · Mathematics 2022-01-26 Anirudh Subramanyam , Jacob Roth , Albert Lam , Mihai Anitescu

This paper proposes a quasi-optimal power flow (OPF) algorithm for flexible DC traction power systems (TPSs). Near-optimal solutions can be solved with high computational efficiency by the proposed quasi-OPF. Unlike conventional OPF…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Zhanhe Li , Xiaoqian Li , Yingdong Wei , Chao Lu , Xuelian Bai