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The penetration of distributed energy resources (DERs) is increasing dramatically. Due to the uncertainty of DERs, the operation of the distribution system is facing higher risks and challenges. To overcome such challenges, a two-stage…

Systems and Control · Electrical Eng. & Systems 2020-05-07 Mingyue He , Zahra Soltani , Mojdeh Khorsand

Load side participation can provide support to the power network by appropriately adapting the demand when required. In addition, it enables an economically improved power allocation. In this study, we consider the problem of providing an…

Optimization and Control · Mathematics 2021-05-10 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

In this paper we introduce a novel approach to distributionally robust optimal control that supports online learning of the ambiguity set, while guaranteeing recursive feasibility. We introduce conic representable risk, which is useful to…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Peter Coppens , Panagiotis Patrinos

The operation of large-scale power systems is usually scheduled ahead via numerical optimization. However, this requires models of grid topology, line parameters, and bus specifications. Classic approaches first identify the network…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Oleksii Molodchyk , Philipp Schmitz , Alexander Engelmann , Karl Worthmann , Timm Faulwasser

The future power grid may rely on distributed optimization to determine the set-points for huge numbers of distributed energy resources. There has been significant work on applying distributed algorithms to optimal power flow (OPF)…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Rachel Harris , Mohannad Alkhraijah , Daniel K. Molzahn

This paper presents a parametric quadratic approximation of the AC optimal power flow (AC-OPF) problem for time-sensitive and market-based applications. The parametric approximation preserves the physics-based but simple representation…

Optimization and Control · Mathematics 2024-10-25 Gonzalo E. Constante-Flores , André H. Quisaguano , Antonio J. Conejo , Can Li

Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

This paper proposes a data-driven approach for optimal power flow (OPF) based on the stacked extreme learning machine (SELM) framework. SELM has a fast training speed and does not require the time-consuming parameter tuning process compared…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Xingyu Lei , Zhifang Yang , Juan Yu , Junbo Zhao , Qian Gao , Hongxin Yu

Probabilistic optimal power flow (POPF) is an important analytical tool to ensure the secure and economic operation of power systems. POPF needs to solve enormous nonlinear and nonconvex optimization problems. The huge computational burden…

Signal Processing · Electrical Eng. & Systems 2019-06-25 Yan Yang , Juan Yu , Zhifang Yang , Mingxu Xiang , Ren Liu

With high penetrations of renewable generation and variable loads, there is significant uncertainty associated with power flows in DC networks such that stability and operational constraint satisfaction are of concern. Most existing DC…

Optimization and Control · Mathematics 2021-06-14 Jianzhe Liu , Bai Cui , Daniel K. Molzahn , Chen Chen , Xiaonan Lu , Feng Qiu

This paper considers the problem of controlling inverter-interfaced distributed energy resources (DERs) in a distribution grid to solve an AC optimal power flow (OPF) problem in real time. The AC OPF includes voltage constraints, and seeks…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Antonin Colot , Yiting Chen , Bertrand Cornelusse , Jorge Cortes , Emiliano Dall'Anese

Due to high power in-feed from photovoltaics, it can be expected that more battery systems will be installed in the distribution grid in near future to mitigate voltage violations and thermal line and transformer overloading. In this paper,…

Systems and Control · Computer Science 2017-03-17 Philipp Fortenbacher , Johanna L. Mathieu , Göran Andersson

The Model Predictive Control (MPC) approach is used in this paper to control the voltage profiles in MV networks with distributed generation. The proposed algorithm lies at the intermediate level of a three-layer hierarchical structure. At…

Systems and Control · Computer Science 2013-11-15 Marcello Farina , Antonio Guagliardi , Federico Mariani , Carlo Sandroni , Riccardo Scattolini

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…

Optimization and Control · Mathematics 2017-10-10 Chin-Yao Chang , Jorge Cortes , Sonia Martinez

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

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

In recent years, several applications have been proposed in the context of distribution networks. Many of these can be formulated as an optimal power flow problem, a mathematical optimization program which includes a model of the…

Optimization and Control · Mathematics 2023-08-23 Sander Claeys , Frederik Geth , Geert Deconinck

Solving the AC optimal power flow problem (AC-OPF) is critical to the efficient and safe planning and operation of power grids. Small efficiency improvements in this domain have the potential to lead to billions of dollars of cost savings,…

How much data is needed to optimally schedule distributed energy resources (DERs)? Does the distribution system operator (DSO) have to know load demands at each bus of the feeder to solve an optimal power flow (OPF)? This work exploits…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Vassilis Kekatos , Ridley Annin , Manish K. Singh , Junjie Qin

Convex relaxations of the AC Optimal Power Flow (OPF) problem are essential not only for identifying the globally optimal solution but also for enabling the use of OPF formulations in Bilevel Programming and Mathematical Programs with…

Optimization and Control · Mathematics 2020-06-23 Lucien Bobo , Andreas Venzke , Spyros Chatzivasileiadis
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