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The connection of single-phase microgrids (MG) and loads to three-phase MGs creates power quality problems such as unbalanced voltage and voltage rise at the point of common coupling (PCC) of the MGs. In this paper, a modified reverse droop…

Systems and Control · Electrical Eng. & Systems 2021-04-12 Mehmet Emin Akdogan , Sara Ahmed

Increasingly volatile electricity prices make simultaneous scheduling optimization desirable for production processes and their energy systems. Simultaneous scheduling needs to account for both process dynamics and binary on/off-decisions…

Optimization and Control · Mathematics 2022-07-28 Florian Joseph Baader , André Bardow , Manuel Dahmen

This paper develops a branch-flow based optimal power flow (OPF) problem for multi-phase distribution networks that allows for tap selection of wye, closed-delta, and open-delta step-voltage regulators (SVRs). SVRs are assumed ideal and…

Optimization and Control · Mathematics 2019-01-16 Mohammadhafez Bazrafshan , Nikolaos Gatsis , Hao Zhu

The optimal power flow (OPF) problem is an important mathematical program that aims at obtaining the best operating point of an electric power grid. The optimization problem typically minimizes the total generation cost subject to certain…

Optimization and Control · Mathematics 2023-05-02 Shourya Bose , Kejun Chen , Yu Zhang

Although energy system optimisation based on linear optimisation is often used for influential energy outlooks and studies for political decision-makers, the underlying background still needs to be described in the scientific literature in…

Optimization and Control · Mathematics 2023-08-07 Sebastian Miehling , Andreas Hanel , Jerry Lambert , Sebastian Fendt , Hartmut Spliethoff

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

We consider a class of optimal power flow (OPF) applications where some loads offer a modulation service in exchange for an activation fee. These applications can be modeled as multi-period formulations of the OPF with discrete variables…

Optimization and Control · Mathematics 2014-01-07 Quentin Gemine , Damien Ernst , Quentin Louveaux , Bertrand Cornélusse

Determining the maximum demand a water distribution network can satisfy is crucial for ensuring reliable supply and planning network expansion. This problem, typically formulated as a mixed-integer nonlinear program (MINLP), is…

Optimization and Control · Mathematics 2026-01-13 Sai Krishna Kanth Hari , Russell Bent

We formulate an optimal scheduling problem for battery swapping that assigns to each electric vehicle (EV) a best station to swap its depleted battery based on its current location and state of charge. The schedule aims to minimize total…

Optimization and Control · Mathematics 2016-11-24 Pengcheng You , Steven H. Low , Wayes Tushar , Guangchao Geng , Chau Yuen , Zaiyue Yang , Youxian Sun

The integration of renewable energy resources (RES) in the power grid can reduce carbon intensity, but also presents certain challenges. The uncertainty and intermittent nature of RES emphasize the need for flexibility in power systems.…

Systems and Control · Electrical Eng. & Systems 2025-04-18 Shijie Pan , Gerrit Rolofs , Luca Pontecorvi , Charalambos Konstantinou

This paper develops a method to obtain the optimal value for the regularization coefficient in a general mixed-integer problem (MIP). This approach eliminates the cross-validation performed in the existing penalty techniques to obtain a…

Optimization and Control · Mathematics 2020-08-05 Behrad Soleimani , Behzad Khamidehi , Maryam Sabbaghian

To figure out the stability issues brought by renewable energy sources (RES) with non-Gaussian uncertainties in isolated microgrids, this paper proposes a chance constrained stability constrained optimal power flow (CC-SC-OPF) model.…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Jun Wang , Yue Song , David John Hill , Yunhe Hou , Feilong Fan

This paper considers the fundamental power allocation problem in cell-free massive mutiple-input and multiple-output (MIMO) systems which aims at maximizing the total energy efficiency (EE) under a sum power constraint at each access point…

Information Theory · Computer Science 2022-01-21 Trang C. Mai , Hien Quoc Ngo , Le-Nam Tran

This paper presents a hybrid Sequential Convex Programming (SCP) framework for solving the unbalanced three-phase AC Optimal Power Flow (OPF) problem. The method combines a fixed McCormick outer approximation of bilinear voltage-current…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Sary Yehia , Alessandra Parisio

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…

Optimization and Control · Mathematics 2019-03-14 Hadrien Godard , Sourour Elloumi , Amélie Lambert , Jean Maeght , Manuel Ruiz

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

In the present article we propose a mixed-integer approximation of adjustable-robust optimization (ARO) problems, that have both, continuous and discrete variables on the lowest level. As these trilevel problems are notoriously hard to…

Optimization and Control · Mathematics 2023-10-11 Jan Kronqvist , Boda Li , Jan Rolfes

This paper addresses the challenge of efficiently solving the optimal power flow problem in real-time electricity markets. The proposed solution, named Physics-Informed Market-Aware Active Set learning OPF (PIMA-AS-OPF), leverages physical…

Machine Learning · Computer Science 2023-04-04 Robert Ferrando , Laurent Pagnier , Robert Mieth , Zhirui Liang , Yury Dvorkin , Daniel Bienstock , Michael Chertkov

In this paper, we investigate the energy efficiency (EE) problem under reconfigurable intelligent surface (RIS)-aided secure cell-free networks, where multiple legitimate users and eavesdroppers (Eves) exist. We formulate a max-min secure…

Information Theory · Computer Science 2022-11-11 Wanming Hao , Junjie Li , Gangcan Sun , Chongwen Huang , Ming Zeng , Octavia A. Dobre , Chau Yuen

The increasing penetration of renewable energy necessitates improved power system flexibility, driving the deployment of independent energy storage operators (ESOs). Existing research extensively investigates capacity sizing for price-taker…

Theoretical Economics · Economics 2026-05-19 Lizhong Zhang , Junqi Liu , Jianxiao Wang , Lei Zhu
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