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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

Existing algorithms to solve alternating-current optimal power flow (AC-OPF) often exploit linear approximations to simplify system models and accelerate computations. In this paper, we improve a recent hierarchical OPF algorithm, which…

Optimization and Control · Mathematics 2023-02-09 Heng Liang , Xinyang Zhou , Changhong Zhao

The stochastic and dynamic nature of renewable energy sources and power electronic devices are creating unique challenges for modern power systems. One such challenge is that the conventional mathematical systems models-based optimal active…

Optimization and Control · Mathematics 2019-09-02 Jiajun Duan , Haifeng Li , Xiaohu Zhang , Ruisheng Diao , Bei Zhang , Di Shi , Xiao Lu , Zhiwei Wang , Siqi Wang

Prompt and effective corrective actions in response to unexpected contingencies are crucial for improving power system resilience and preventing cascading blackouts. The optimal load shedding (OLS) accounting for network limits has the…

Machine Learning · Computer Science 2025-02-12 Yuqi Zhou , Hao Zhu

We propose a generic multistage stochastic model for the Alternating Current Optimal Power Flow (AC OPF) problem for radial distribution networks, to account for the random electricity production of renewable energy sources and dynamic…

Optimization and Control · Mathematics 2021-11-19 Maxime Grangereau , Wim van Ackooij , Stéphane Gaubert

Pronounced variability due to the growth of renewable energy sources, flexible loads, and distributed generation is challenging residential distribution systems. This context, motivates well fast, efficient, and robust reactive power…

Systems and Control · Electrical Eng. & Systems 2019-10-31 Qiuling Yang , Alireza Sadeghi , Gang Wang , Georgios B. Giannakis , Jian Sun

Despite cascading failures being the central cause of blackouts in power transmission systems, existing operational and planning decisions are made largely by ignoring their underlying cascade potential. This paper posits a…

Optimization and Control · Mathematics 2022-01-26 Anirudh Subramanyam , Jacob Roth , Albert Lam , Mihai Anitescu

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

Optimization and Control · Mathematics 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

This work formulates and solves optimization problems to generate input points that yield high errors between a neural network's predicted AC power flow solution and solutions to the AC power flow equations. We demonstrate this capability…

Machine Learning · Computer Science 2026-02-23 Robert Parker

We present a solution of sparse alternating current optimal power flow (ACOPF) analysis on graphical processing unit (GPU). In particular, we discuss the performance bottlenecks and detail our efforts to accelerate the linear solver, a core…

Computational Engineering, Finance, and Science · Computer Science 2023-08-21 Kasia Swirydowicz , Nicholson Koukpaizan , Shrirang Abhyankar , Slaven Peles

The adversarial worst-case load shedding (AWLS) problem is pivotal for identifying critical contingencies under line outages. It is naturally cast as a bilevel program: the upper level simulates an attacker determining worst-case line…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Young-ho Cho , Harsha Nagarajan , Deepjyoti Deka , Hao Zhu

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

AC optimal power flow (AC OPF) is a fundamental problem in power system operation and control. Accurately modeling the network physics via the AC power flow equations makes AC OPF a challenging nonconvex problem that results in significant…

Optimization and Control · Mathematics 2023-07-06 Nafis Sadik , Mohammad Rasoul Narimani

We present a systematic method to design ubiquitous continuous fast-acting distributed load control for primary frequency regulation in power networks, by formulating an optimal load control (OLC) problem where the objective is to minimize…

Systems and Control · Computer Science 2016-11-18 Changhong Zhao , Ufuk Topcu , Na Li , Steven Low

Optimal power flow (OPF) is one of the fundamental tasks for power system operations. While machine learning (ML) approaches such as deep neural networks (DNNs) have been widely studied to enhance OPF solution speed and performance, their…

Machine Learning · Computer Science 2026-01-07 Xinyi Liu , Xuan He , Yize Chen

Real-time optimal power flow (RT-OPF) under wind energy penetration is highly desired but extremely difficult to realize. This is basically due to the conflict between the fast changes in wind power generation and the slow response from the…

Optimization and Control · Mathematics 2018-07-02 Erfan Mohagheghi , Aouss Gabash , Pu Li

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

Alternating current optimal power flow (ACOPF) problems are nonconvex and nonlinear optimization problems. Utilities and independent service operators (ISO) require ACOPF to be solved in almost real time. Interior point methods (IPMs) are…

Optimization and Control · Mathematics 2021-09-07 Sayed Abdullah Sadat , Kibaek Kim

The 2019-20 Australia bushfire incurred numerous economic losses and significantly affected the operations of power systems. A power station or transmission line can be significantly affected due to bushfires, leading to an increase in…

Systems and Control · Electrical Eng. & Systems 2025-02-24 Jianyu Xu , Qiuzhuang Sun , Yang Yang , Huadong Mo , Daoyi Dong

This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (i) we propose a novel parabolic relaxation, which transforms…

Optimization and Control · Mathematics 2018-09-27 Fariba Zohrizadeh , Mohsen Kheirandishfard , Edward Quarm , Ramtin Madani