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The uncertainties from distributed energy resources (DERs) bring significant challenges to the real-time operation of microgrids. In addition, due to the nonlinear constraints in the AC power flow equation and the nonlinearity of the…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Hang Shuai , Xiaomeng Ai , Jiakun Fang , Wei Yao , Jinyu Wen

This study introduces a mixed-integer linear programming (MILP) model, effectively co-optimizing patrolling, damage assessment, fault isolation, repair, and load re-energization processes. The model is designed to solve a vital operational…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Jalilian , Babak Taheri , Daniel K. Molzahn

Increasing emphasis on reliability and resiliency call for advanced distribution system restoration (DSR). The integration of grid sensors, remote controls, and distributed generators (DG) brings about exciting opportunities in DSR. In this…

Optimization and Control · Mathematics 2018-11-13 Manish Kumar Singh , Vassilis Kekatos , Chen-Ching Liu

Incorporating energy storage systems (ESS) into power systems has been studied in many recent works, where binary variables are often introduced to model the complementary nature of battery charging and discharging. A conventional approach…

Optimization and Control · Mathematics 2025-01-13 Dahye Han , Nan Jiang , Santanu S. Dey , Weijun Xie

The conventionally independent power, water, and heating networks are becoming more tightly connected, which motivates their joint optimal energy scheduling to improve the overall efficiency of an integrated energy system. However, such a…

Systems and Control · Electrical Eng. & Systems 2021-11-29 Sidun Fang , Chenxu Wang , Yashen Lin , Changhong Zhao

Many power systems operation and planning computations (e.g., transmission and generation switching and placement) solve a mixed-integer nonlinear problem (MINLP) with binary variables representing the decision to connect devices to the…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Aayushya Agarwal , Amritanshu Pandey , Larry Pillegi

The electrical network reconfiguration problem aims to minimize losses in a distribution system by adjusting switches while ensuring radial topology. The growing use of renewable energy and the complexity of managing modern power grids make…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

This note discusses an essentially decentralized interior point method, which is well suited for optimization problems arising in energy networks. Advantages of the proposed method are guaranteed and fast local convergence also for problems…

Optimization and Control · Mathematics 2023-07-07 Alexander Engelmann , Michael Kaupmann , Timm Faulwasser

We propose a novel algorithm to solve optimal power flow (OPF) that aims at dispatching controllable distributed energy resources (DERs) for voltage regulation at minimum cost. The proposed algorithm features unprecedented scalability to…

Optimization and Control · Mathematics 2019-03-07 Xinyang Zhou , Zhiyuan Liu , Wenbo Wang , Changhong Zhao , Fei Ding , Lijun Chen

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

We show that dynamic coordination of distributed energy resources (DERs) can increase the capacity of low- and medium-voltage grids, improve reliability and power quality, and reduce solar curtailment. We develop three approaches to compute…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Vineet Jagadeesan Nair , Morteza Vahid-Ghavidel , Anuradha M. Annaswamy

Almost climate neutral buildings are one of the core goals in terms of sustainability. Beside the support of the necessary design decisions for an integrated, interoperable, ecological and economical operation of building energy systems,…

Systems and Control · Electrical Eng. & Systems 2019-10-17 Armin Wolf

Real-world three-phase microgrids face two interconnected challenges: 1. time-varying uncertainty from renewable generation and demand, and 2. persistent phase imbalances caused by uneven distributed energy resources DERs, load asymmetries,…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Pablo Cortés , Alejandra Tabares , Fredy Franco

Many systems exhibit a mixture of continuous and discrete dynamics. We consider a family of mixed-integer non-convex non-linear optimisation problems obtained in discretisations of optimal control of such systems. For this family, a…

Optimization and Control · Mathematics 2020-01-23 Jorn Baayen , Jakub Marecek

Nonlinear power flow constraints render a variety of power system optimization problems computationally intractable. Emerging research shows, however, that the nonlinear AC power flow equations can be successfully modeled using Neural…

Machine Learning · Computer Science 2021-11-01 Alyssa Kody , Samuel Chevalier , Spyros Chatzivasileiadis , Daniel Molzahn

To mitigate the vulnerability of distribution grids to severe weather events, some electric utilities use preemptive de-energization as the primary line of defense, causing significant power outages. In such instances, networked microgrids…

Optimization and Control · Mathematics 2024-04-05 Hannah Moring , Harsha Nagarajan , Kshitij Girigoudar , David M. Fobes , Johanna L. Mathieu

Despite major advancements in nonlinear programming (NLP) and convex relaxations, most system operators around the world still predominantly use some form of linear programming (LP) approximation of the AC power flow equations. This is…

Optimization and Control · Mathematics 2021-07-19 Sleiman , Mhanna , Pierluigi , Mancarella

Reducing the fuel consumption within a power network is crucial to enhance the overall system efficiency and minimize operating costs. Fuel consumption minimization can be achieved through different optimization techniques where the output…

Optimization and Control · Mathematics 2023-10-30 Md Isfakul Anam , Tuyen Vu

Gas transportation and storage has become one of the most relevant and important optimization problems in energy systems. This problem inherently includes highly nonlinear and nonconvex aspects due to gas physics, and discrete aspects due…

Optimization and Control · Mathematics 2025-04-28 Bahar Cennet Okumusoglu , Burak Kocuk

A major challenge to implementing residential demand response is that of aligning the objectives of many households, each of which aims to minimize its payments and maximize its comfort level, while balancing this with the objectives of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Sleiman Mhanna , Archie Chapman , Gregor Verbic