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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 is an optimization problem used in power systems operational planning to maximize economic efficiency while satisfying demand and maintaining safety margins. Due to uncertainty and variability in renewable energy…

Systems and Control · Computer Science 2019-02-18 Deepjyoti Deka , Sidhant Misra

The rapid growth of large data center loads and inverter-based generation is increasing the stress on transmission networks, while expanding grid capacity at the required pace remains challenging. Power flow controllers (PFCs) that adjust…

Optimization and Control · Mathematics 2025-11-20 Eric Haag , Yuhao Chen , Giri Venkataramanan , Manish K. Singh

There has been a significant growth of variable renewable generation in the power grid today. However, the industry still uses deterministic optimization to model and solve the optimal power flow (OPF) problem for real-time generation…

Optimization and Control · Mathematics 2019-12-02 Xingpeng Li , Qianxue Xia

In order to coordinate the economy and voltage quality of a meshed AC/VSC-MTDC system, a new corrective security-constrained multi-objective optimal power flow (SC-MOPF) method is presented in this paper. A parallel SC-MOPF model with N-1…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Yahui Li , Yang Li

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

Linear approximation commonly used in solving alternating-current optimal power flow (AC-OPF) simplifies the system models but incurs accumulated voltage errors in large power networks. Such errors will make the primal-dual type gradient…

Optimization and Control · Mathematics 2023-06-08 Heng Liang , Xinyang Zhou , Changhong Zhao

Higher levels of renewable electricity generation increase uncertainty in power system operation. To ensure secure system operation, new tools that account for this uncertainty are required. In this paper, we formulate a chance-constrained…

Optimization and Control · Mathematics 2019-05-07 Line Roald , Göran Andersson

Power grid operation is becoming increasingly complex due to the rising integration of renewable energy sources and the need for more adaptive control strategies. Reinforcement Learning (RL) has emerged as a promising approach to power…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Erica van der Sar , Alessandro Zocca , Sandjai Bhulai

This paper considers a probabilistic generalization of the $N$-$k$ failure-identification problem in power transmission networks, where the probability of failure of each component in the network is known a priori and the goal of the…

Systems and Control · Computer Science 2021-05-06 Kaarthik Sundar , Carleton Coffrin , Harsha Nagarajan , Russell Bent

Critical infrastructure systems must be both robust and resilient in order to ensure the functioning of society. To improve the performance of such systems, we often use risk and vulnerability analysis to find and address system weaknesses.…

Physics and Society · Physics 2015-05-08 Sarah LaRocca , Jonas Johansson , Henrik Hassel , Seth Guikema

The increasing share of renewables in the electricity generation mix comes along with an increasing uncertainty in power supply. In the recent years, distributionally robust optimization has gained significant interest due to its ability to…

Optimization and Control · Mathematics 2022-11-11 Adriano Arrigo , Jalal Kazempour , Zacharie De Grève , Jean-François Toubeau , François Vallée

Power flow analysis plays a crucial role in examining the electricity flow within a power system network. By performing power flow calculations, the system's steady-state variables, including voltage magnitude, phase angle at each bus,…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Mingjian Tuo , Xingpeng Li , Tianxia Zhao

This paper presents a model predictive control (MPC)-based online real-time adaptive control scheme for emergency voltage control in power systems. Despite tremendous success in various applications, real-time implementation of MPC for…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Ramij Raja Hossain , Ratnesh Kumar

Power grid infrastructure is an increasingly significant source of wildfire ignitions and poses severe risks to communities in fire-prone regions. Public Safety Power Shutoffs (PSPS) have emerged as a critical operational tool for utilities…

Optimization and Control · Mathematics 2026-04-30 Prasanna Raut , Chaoyue Zhao , Alexandre Moreira

In this paper, we develop an online method that leverages machine learning to obtain feasible solutions to the AC optimal power flow (OPF) problem with negligible optimality gaps on extremely fast timescales (e.g., milliseconds), bypassing…

Machine Learning · Computer Science 2019-10-04 Ahmed Zamzam , Kyri Baker

The paper proposes a new adaptive approach to power system model reduction for fast and accurate time-domain simulation. This new approach is a compromise between linear model reduction for faster simulation and nonlinear model reduction…

Systems and Control · Computer Science 2017-11-13 Denis Osipov , Kai Sun

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

Recent developments in applying machine learning to address Alternating Current Optimal Power Flow (AC OPF) problems have demonstrated significant potential in providing close to optimal solutions for generator dispatch in near real-time.…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Vincenzo Di Vito , Mostafa Mohammadian , Kyri Baker , Ferdinando Fioretto

The integration of large-scale renewable generation has major implications on the operation of power systems, two of which we address in this work. First, system operators have to deal with higher degrees of uncertainty due to forecast…

Systems and Control · Computer Science 2019-06-17 Andreas Venzke , Lejla Halilbasic , Adelie Barre , Line Roald , Spyros Chatzivasileiadis