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DC power flow approximations are ubiquitous in the electricity industry. However, these linear approximations fail to capture important physical aspects of power flow, such as the reactive power and voltage magnitude, which are crucial in…

Optimization and Control · Mathematics 2016-03-16 Sleiman Mhanna , Gregor Verbic , Archie Chapman

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

Optimization and Control · Mathematics 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

This paper considers the low-observability state estimation problem in power distribution networks and develops a decentralized state estimation algorithm leveraging the matrix completion methodology. Matrix completion has been shown to be…

Optimization and Control · Mathematics 2019-10-14 April Sagan , Yajing Liu , Andrey Bernstein

An Equivalent Circuit Programming (ECP) approach that expresses the optimality conditions of an optimization problem in terms of an equivalent circuit model and uses circuit simulation techniques to solve for an optimal solution, is applied…

Signal Processing · Electrical Eng. & Systems 2019-04-11 Marko Jereminov , Aleksandar Jovicic , Martin R. Wagner , Gabriela Hug , Larry Pileggi

Flow matching (FM) is a family of training algorithms for fitting continuous normalizing flows (CNFs). Conditional flow matching (CFM) exploits the fact that the marginal vector field of a CNF can be learned by fitting least-squares…

Machine Learning · Statistics 2025-02-04 Ganchao Wei , Li Ma

Given a flow network with variable suppliers and fixed consumers, the minimax flow problem consists in minimizing the maximum flow between nodes, subject to flow conservation and capacity constraints. We solve this problem over acyclic…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Marco Coraggio , Saber Jafarpour , Francesco Bullo , Mario di Bernardo

The design of new strategies that exploit methods from Machine Learning to facilitate the resolution of challenging and large-scale mathematical optimization problems has recently become an avenue of prolific and promising research. In this…

Optimization and Control · Mathematics 2024-04-08 Salvador Pineda , Juan Miguel Morales , Asunción Jiménez-Cordero

The feeder reconfiguration problem chooses the on/off status of the switches in a distribution network in order to minimize a certain cost such as power loss. It is a mixed integer nonlinear program and hence hard to solve. A popular…

Optimization and Control · Mathematics 2015-12-22 Qiuyu Peng , Steven H. Low

Power flow calculation in EMS is required to accommodate a large and complex power system. To achieve a faster than real-time calculation, a graph based power flow calculation is proposed in this paper. Graph database and graph computing…

Signal Processing · Electrical Eng. & Systems 2018-11-07 Junjie Shi , Guangyi Liu , Renchang Dai , Jingjin Wu , Chen Yuan , Zhiwei Wang

Accurate estimates of network parameters are essential for modeling, monitoring, and control in power distribution systems. In this paper, we develop a physics-informed graphical learning algorithm to estimate network parameters of…

Machine Learning · Computer Science 2021-02-19 Wenyu Wang , Nanpeng Yu

The operating point of a power system may change due to slow enough variations of the power injections. Rotating machines in the bulk system can absorb smooth changes in the dynamic states of the system. In this context, we present a novel…

Optimization and Control · Mathematics 2024-01-22 Gabriel Intriago , Holger Cevallos , Yu Zhang

This paper explores solutions to linearized powerflow equations with bus-voltage phasors represented in rectangular coordinates. The key idea is to solve for complex-valued perturbations around a nominal voltage profile from a set of linear…

Systems and Control · Computer Science 2015-12-23 Sairaj V. Dhople , Swaroop S. Guggilam , Yu Christine Chen

In this paper a novel distributed control algorithm for current sharing and voltage regulation in Direct Current (DC) microgrids is proposed. The DC microgrid is composed of several Distributed Generation units (DGUs), including Buck…

Optimization and Control · Mathematics 2018-05-01 Michele Cucuzzella , Sebastian Trip , Claudio De Persis , Xiaodong Cheng , Antonella Ferrara , Arjan van der Schaft

Linearization of power flow is an important topic in power system analysis. The computational burden can be greatly reduced under the linear power flow model while the model error is the main concern. Therefore, various linear power flow…

Systems and Control · Electrical Eng. & Systems 2021-11-09 hentong Shao , Qiaozhu Zhai , Jiang Wu , Xiaohong Guan

This article develops a strengthened convex quadratic convex (QC) relaxation of the AC Optimal Power Flow (AC-OPF) problem and presents an optimization-based bound-tightening (OBBT) algorithm to compute tight, feasible bounds on the voltage…

Optimization and Control · Mathematics 2019-01-30 Kaarthik Sundar , Harsha Nagarajan , Sidhant Misra , Mowen Lu , Carleton Coffrin , Russell Bent

This paper considers a distributed adaptive optimization problem, where all agents only have access to their local cost functions with a common unknown parameter, whereas they mean to collaboratively estimate the true parameter and find the…

Optimization and Control · Mathematics 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

This paper presents a scalable method for improving the solutions of AC Optimal Power Flow (AC OPF) with respect to deviations in predicted power injections from wind and other uncertain generation resources. The focus of the paper is on…

Systems and Control · Computer Science 2019-01-10 Miles Lubin , Yury Dvorkin , Line Roald

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

The rise of advanced data technologies in electric power distribution systems enables operators to optimize operations but raises concerns about data security and consumer privacy. Resulting data protection mechanisms that alter or…

Optimization and Control · Mathematics 2024-10-17 Mehrnoush Ghazanfariharandi , Robert Mieth

Addressing the uncertainty introduced by increasing renewable integration is crucial for secure power system operation, yet capturing it while preserving the full nonlinear physics of the grid remains a significant challenge. This paper…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Ghulam Mohy-ud-din , Yunqi Wang , Rahmat Heidari , Frederik Geth