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This paper develops a computationally efficient algorithm which speeds up the probabilistic power flow (PPF) problem by exploiting the inherently low-rank nature of the voltage profile in electrical power distribution networks. The…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Samuel Chevalier , Luca Schenato , Luca Daniel

In this paper, we discuss our approach and algorithmic framework for solving large-scale security constrained optimal power flow (SCOPF) problems. SCOPF is a mixed integer non-convex optimization problem that aims to obtain the minimum…

Optimization and Control · Mathematics 2020-06-02 Mohammadhafez Bazrafshan , Kyri Baker , Javad Mohammadi

The convergence performance of distributed optimization algorithms is of significant importance to solve optimal power flow (OPF) in a distributed fashion. In this paper, we aim to provide some insights on how to partition a power system to…

Signal Processing · Electrical Eng. & Systems 2019-02-13 Ali Mohammadi , Mahdi Mehrtash , Amin Kargarian , Masoud Barati

Distributed or multi-area optimal power flow appears to be promising in order to cope with computational burdens in large-scale grids and without the regional system operators losing control over their respective areas. However, algorithms…

Systems and Control · Electrical Eng. & Systems 2019-12-10 Nico Hübner , Yannick Rink , Michael Suriyah , Thomas Leibfried

The optimal reactive power dispatch (ORPD) problem is an alternating current optimal power flow (ACOPF) problem where discrete control devices for regulating the reactive power, such as shunt elements and tap changers, are considered. The…

Optimization and Control · Mathematics 2019-12-30 Christian Bingane , Miguel F. Anjos , Sébastien Le Digabel

Solving the nonlinear AC optimal power flow (AC OPF) problem remains a major computational bottleneck for real-time grid operations. In this paper, we propose a residual learning paradigm that uses fast DC optimal power flow (DC OPF)…

Machine Learning · Computer Science 2025-10-21 Muhy Eddin Za'ter , Bri-Mathias Hodge , Kyri Baker

The optimal power flow (OPF) is a multi-valued, non-convex mapping from loads to dispatch setpoints. The variability of system parameters (e.g., admittances, topology) further contributes to the multiplicity of dispatch setpoints for a…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Milad Hoseinpour , Vladimir Dvorkin

With the addition of large numbers of distributed energy resources (DERs) to distribution networks comes the increasing risk that their operation may violate the safety constraints of these networks. The problem considered in this paper is…

Optimization and Control · Mathematics 2026-05-11 Robert Steven , Oleksiy V. Klymenko , Michael Short

This paper focuses on power distribution networks featuring distributed energy resources (DERs), and develops controllers that drive the DER output powers to solutions of time-varying AC optimal power flow (OPF) problems. The design of the…

Optimization and Control · Mathematics 2016-12-23 Emiliano Dall'Anese , Andrea Simonetto , Sairaj Dhople

There is a growing need for new optimization methods to facilitate the reliable and cost-effective operation of power systems with intermittent renewable energy resources. In this paper, we formulate the robust AC optimal power flow…

Optimization and Control · Mathematics 2018-04-03 Raphael Louca , Eilyan Bitar

Power system operators are increasingly looking toward distributed optimization to address various challenges facing electric power systems. To assess their capabilities in environments with nonideal communications, this paper investigates…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Mohannad Alkhraijah , Carlos Menendez , Daniel K. Molzahn

This paper considers an orthogonal frequency division multiplexing (OFDM) point-to-point wireless communication system with simultaneous wireless information and power transfer. We study a receiver which is able to harvest energy from the…

Information Theory · Computer Science 2013-03-12 Derrick Wing Kwan Ng , Robert Schober

This paper presents PowerModelsADA, an open-source framework for solving Optimal Power Flow (OPF) problems using Alternating Distributed Algorithms (ADA). PowerModelsADA provides a framework to test, verify, and benchmark both existing and…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Mohannad Alkhraijah , Rachel Harris , Carleton Coffrin , Daniel K. Molzahn

We formulate the Alternating Current Optimal Power Flow Problem (ACOPF) as a Linear Constrained Quadratic Program (LCQP) with many negative eigenvalues ($r$) and linear constraints, making it NP-hard. We propose two algorithms, Feasible…

Optimization and Control · Mathematics 2024-06-19 Masoud Barati

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

In this paper, a short-term load forecasting approach based network reconfiguration is proposed in a parallel manner. Specifically, a support vector regression (SVR) based short-term load forecasting approach is designed to provide an…

Systems and Control · Computer Science 2017-11-30 Yi Gu , Huaiguang Jiang , Jun Jason Zhang , Yingchen Zhang , Eduard Muljadi , Francisco J. Solis

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

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…

Optimization and Control · Mathematics 2013-06-14 Russell Bent , Daniel Bienstock , Michael Chertkov

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…

Optimization and Control · Mathematics 2017-08-18 Jia Li , Feng Liu , Zhaojian Wang , Steven H Low , Shengwei Mei

Transmission-constrained problems in power systems can be cast as polynomial optimization problems whose coefficients vary over time. We consider the complications therein and suggest several approaches. On the example of the…

Optimization and Control · Mathematics 2023-09-25 Jie Liu , Antonio Bellon , Andrea Simonetto , Martin Takac , Jakub Marecek