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There is a growing need for new optimization methods to facilitate the reliable and cost-effective operation of power systems with intermittent renewable energy resources. In this paper, we formulate the robust AC optimal power flow…

Optimization and Control · Mathematics 2018-04-03 Raphael Louca , Eilyan Bitar

We propose a data-based method to solve a multi-stage stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The framework explicitly combines multi-stage feedback policies with any…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

The optimal power flow (OPF) problem is funda- mental in power distribution networks control and operation that underlies many important applications such as volt/var control and demand response, etc.. Large-scale highly volatile renewable…

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

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

Efficiently solving large-scale optimal power flow (OPF) problems is challenging due to the high dimensionality and interconnectivity of modern power systems. Decomposition methods offer a promising solution via partitioning large problems…

Optimization and Control · Mathematics 2025-12-30 Mohannad Alkhraijah , Devon Sigler , Daniel K. Molzahn

The branch flow based optimal power flow(OPF) problem in radianlly operated distribution networks can be exactly relazed to a second order cone programming (SOCP) model without considering transformers. However, the introdution of nonlinear…

Systems and Control · Computer Science 2017-05-09 Wenchuan Wu , Zhuang Tian , Boming Zhang

This paper proposes a hard-constrained unsupervised learning framework for rapidly solving the non-linear and non-convex AC optimal power flow (AC-OPF) problem in real-time operation. Without requiring ground-truth AC-OPF solutions,…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Kejun Chen , Bernard Knueven , Wesley Jones

This paper proposes a convex optimization based distributed algorithm to solve multi-period optimal gas-power flow (OGPF) in coupled energy distribution systems. At the gas distribution system side, the non-convex Weymouth gas flow…

Optimization and Control · Mathematics 2016-10-18 Cheng Wang , Wei Wei , Jianhui Wang , Linquan Bai , Yile Liang

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

The growing scale of power systems and the increasing uncertainty introduced by renewable energy sources necessitates novel optimization techniques that are significantly faster and more accurate than existing methods. The AC Optimal Power…

Optimization and Control · Mathematics 2025-12-02 Andrew Rosemberg , Michael Klamkin , Pascal Van Hentenryck

There is an emerging need for efficient solutions to stochastic AC Optimal Power Flow ({AC-}OPF) to ensure optimal and reliable grid operations in the presence of increasing demand and generation uncertainty. This paper presents a highly…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Ilyes Mezghani , Sidhant Misra , Deepjyoti Deka

Optimal power flow (OPF) is an important tool for Independent System Operators (ISOs) to deal with the power generation management. With the increasing penetration of renewable energy into power grids, challenges arise in tackling the OPF…

Optimization and Control · Mathematics 2023-06-27 Jia Yang , Jun Song , Chaoyue Zhao

This paper introduces a framework to capture previously intractable optimization constraints and transform them to a mixed-integer linear program, through the use of neural networks. We encode the feasible space of optimization problems…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Ilgiz Murzakhanov , Andreas Venzke , George S. Misyris , Spyros Chatzivasileiadis

The Alternating Current Optimal Power Flow (ACOPF) problem remains one of the most fundamental yet computationally challenging tasks in power systems operation and planning due to its nonconvex, nonlinear, and multimodal nature. This paper…

The power flow equations are fundamental to power system planning, analysis, and control. However, the inherent non-linearity and non-convexity of these equations present formidable obstacles in problem-solving processes. To mitigate these…

Optimization and Control · Mathematics 2024-11-15 Paprapee Buason , Sidhant Misra , Jean-Paul Watson , Daniel K. Molzahn

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) in distribution systems by solving the so-called optimal power flow (OPF) problem. The OPF problem is concerned…

Systems and Control · Computer Science 2020-05-07 Madi Zholbaryssov , Alejandro D. Dominguez-Garcia

We consider a robust optimization problem in an electric power system under uncertain demand and availability of renewable energy resources. Solving the deterministic alternating current optimal power flow (ACOPF) problem has been…

Optimization and Control · Mathematics 2021-02-16 Chaithanya Bandi , Krishnamurthy Dvijotham , David Morton , Haoxiang Yang

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

Probabilistic power flow (PPF) is essential for quantifying operational uncertainty in modern distribution systems with high penetration of renewable generation and flexible loads. Conventional PPF methods primarily rely on Monte Carlo (MC)…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Weijie Xia , James Ciyu Qin , Edgar Mauricio Salazar Duque , Hongjin Du , Peter Palensky , Giovanni Sansavini , Pedro P. Vergara
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