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Optimal power flow (OPF) is considered for microgrids, with the objective of minimizing either the power distribution losses, or, the cost of power drawn from the substation and supplied by distributed generation (DG) units, while effecting…

Optimization and Control · Mathematics 2016-11-17 Emiliano Dall'Anese , Hao Zhu , Georgios B. Giannakis

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

This paper focuses on an AC optimal power flow (OPF) problem for distribution feeders equipped with controllable distributed energy resources (DERs). We consider a solution method that is based on a continuous approximation of the projected…

Optimization and Control · Mathematics 2026-02-26 Damola Ajeyemi , Yiting Chen , Antonin Colot , Jorge Cortes , Emiliano Dall'Anese

The growing penetration of distributed energy resources (DERs), electric vehicles (EVs), and heat pumps (HPs) in distribution networks underscores the need for secure, computationally efficient optimal power flow (OPF) solutions.…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Savvas Panagi , Chrysovalantis Spanias , Petros Aristidou

Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly NP-hard in general, and weakly NP-hard over tree networks. In…

Systems and Control · Computer Science 2016-06-22 Krishnamurthy Dvijotham , Pascal Van Hentenryck , Michael Chertkov , Sidhant Misra , Marc Vuffray

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

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

Optimization and Control · Mathematics 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

Optimal power flow (OPF) is an important technique for power systems to achieve optimal operation while satisfying multiple constraints. The traditional OPF are mostly centralized methods which are executed in the centralized control…

Systems and Control · Computer Science 2019-03-05 Qiao Li , David Wenzhong Gao , Lin Cheng , Fang Zhang , Weihang Yan

We propose a combined global-local control approach to regulate voltage and minimize power losses in distribution networks with high integration of distributed energy resources (DERs). Local controllers embed the fast acting proportional…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Wilhiam de Carvalho , Ahmad Attarha , Hemanshu R. Pota

With the explosion of distributed energy resources (DERs), voltage regulation in distribution networks has been facing a great challenge. This paper derives an asynchronous distributed voltage control strategy based on the partial…

Systems and Control · Electrical Eng. & Systems 2019-08-20 Zhaojian Wang , Feng Liu , Yifan Su , Boyu Qin

As power systems become more complex and uncertain, low-voltage distribution networks face numerous challenges, including three-phase imbalances caused by asymmetrical loads and distributed energy resources. We propose a robust stochastic…

Systems and Control · Electrical Eng. & Systems 2024-04-25 Rui Wang , Xiaoqing Bai , Shengquan Huang , Shoupu Wei

The objective of this paper is to improve the accuracy and robustness of optimal power flow (OPF) formulations for distribution systems modeled down to the low-voltage point of connection of individual buildings. An approach for addressing…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Dakota Hamilton , Loraine Navarro , Dionysios Aliprantis

We propose a data-driven method to solve a stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The objective is to determine power schedules for controllable devices in a power…

Optimization and Control · Mathematics 2018-01-22 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler Summers

Optimal Power Flow (OPF) is a core optimization problem in power system operation and planning, aiming to minimize generation costs while satisfying physical constraints such as power flow equations, generator limits, and voltage limits.…

Machine Learning · Computer Science 2025-12-02 Xuezhi Liu

The limitations of centralized optimization methods for power systems operation have led to the distributed computing paradigm, particularly in power distribution systems. The existing techniques reported in recent literature for solving…

Systems and Control · Electrical Eng. & Systems 2020-12-07 Rabayet Sadnan , Anamika Dubey

This paper proposes an input convex neural network (ICNN)-Assisted optimal power flow (OPF) in distribution networks. Instead of relying purely on optimization or machine learning, the ICNN-Assisted OPF is a combination of optimization and…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Rui Cheng , Yuze Yang , Wenxia Liu , Nian Liu , Zhaoyu Wang

The increasing penetration of distributed energy resources (DERs) adds variability as well as fast control capabilities to power networks. Dispatching the DERs based on local information to provide real-time optimal network operation is the…

Optimization and Control · Mathematics 2025-02-24 Heng Liang , Yujin Huang , Changhong Zhao

The trend in the electric power system is to move towards increased amounts of distributed resources which suggests a transition from the current highly centralized to a more distributed control structure. In this paper, we propose a method…

Optimization and Control · Mathematics 2014-10-17 Javad Mohammadi , Soummya Kar , Gabriela Hug

In this paper, we propose an optimal control-estimation architecture for distribution networks, which jointly solves the optimal power flow (OPF) problem and static state estimation (SE) problem through an online gradient-based feedback…

Optimization and Control · Mathematics 2022-08-31 Yi Guo , Xinyang Zhou , Changhong Zhao , Lijun Chen , Gabriela Hug , Tyler H. Summers

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