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Power grids normally operate at some stable operating condition where power supply and demand are balanced. In response to emergency situations, load shedding is a prevailing approach where local protective devices are activated to cut a…

Systems and Control · Computer Science 2017-10-31 Thanh Long Vu , Spyros Chatzivasileiadis , Hsiao-Dong Chiang , Konstantin Turitsyn

Dynamic contingency screening is a challenging task in dynamic security assessment, when traditional numerical approaches are computationally intensive and often not able to repeatedly solve full AC power flow for all possible contingencies…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Quan Tran , Suresh S. Muknahallipatna , Dongliang Duan , Nga Nguyen

The problem of maintaining power system stability and performance after the failure of any single line in a power system (an "N-1 contingency") is investigated. Due to the large number of possible N-1 contingencies for a power network, it…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Neelay Junnarkar , Emily Jensen , Xiaofan Wu , Suat Gumussoy , Murat Arcak

Optimizing operational set points for modular multilevel converters (MMCs) in Multi-Terminal Direct Current (MTDC) transmission systems is crucial for ensuring efficient power distribution and control. This paper presents an enhanced…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Hongjin Du , Rashmi Prasad , Aleksandra Lekic , Pedro P. Vergara , Peter Palensky

The utility of domain-specific knowledge for modeling, simulation, and optimization has been demonstrated for various research problem domains, including power systems. The concept of Equivalent Circuit Programming was previously developed…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Marko Jereminov , Larry Pileggi

AC optimal power flow (AC-OPF) problems need to be solved more frequently in the future to maintain stable and economic power system operation. To tackle this challenge, a deep neural network-based voltage-constrained approach (DeepOPF-V)…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Wanjun Huang , Xiang Pan , Minghua Chen , Steven H. Low

The power flow (PF) problem is a fundamental problem in power system engineering. Many popular solvers face challenges, such as convergence issues. One can try to rewrite the PF problem into a fixed point equation, which can be solved…

Optimization and Control · Mathematics 2019-09-17 Kishan Prudhvi Guddanti , Yang Weng , Baosen Zhang

Optimal power flow (OPF) is one of the most important optimization problems in the energy industry. In its simplest form, OPF attempts to find the optimal power that the generators within the grid have to produce to satisfy a given demand.…

Systems and Control · Electrical Eng. & Systems 2019-10-23 Damian Owerko , Fernando Gama , Alejandro Ribeiro

This paper presents an adaptive stochastic spectral embedding (ASSE) method to solve the probabilistic AC optimal power flow (AC-OPF), a critical aspect of power system operation. The proposed method can efficiently and accurately estimate…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Xiaoting Wang , Jingyu Liu , Xiaozhe Wang

Security-Constrained DC Optimal Power Flow (SC DCOPF) is an important tool for transmission system operators, enabling economically efficient and physically secure dispatch decisions. Although CPU-based commercial solvers (e.g., Gurobi) can…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Eren Tekeler , Xiangru Zhong , Huan Zhang , Samuel Chevalier

This paper studies the problem of frequency regulation in power grids under unknown and possible time-varying load changes, while minimizing the generation costs. We formulate this problem as an output agreement problem for distribution…

Systems and Control · Computer Science 2015-10-01 Sebastian Trip , Mathias Bürger , Claudio De Persis

When uncontrollable resources fluctuate, Optimum Power Flow (OPF), routinely used by the electric power industry to re-dispatch hourly controllable generation (coal, gas and hydro plants) over control areas of transmission networks, can…

Optimization and Control · Mathematics 2013-02-06 Daniel Bienstock , Michael Chertkov , Sean Harnett

Fast approximations of power flow results are beneficial in power system planning and live operation. In planning, millions of power flow calculations are necessary if multiple years, different control strategies or contingency policies are…

Machine Learning · Computer Science 2020-08-24 Florian Schaefer , Jan-Hendrik Menke , Martin Braun

We introduce a quadratically-constrained approximation (QCAC) of the AC optimal power flow (AC-OPF) problem. Unlike existing approximations like the DC-OPF, our model does not rely on typical assumptions such as high reactance-to-resistance…

Optimization and Control · Mathematics 2026-01-21 Gonzalo E. Constante-Flores , Can Li

Transmission line failures in power systems propagate and cascade non-locally. In this work, we propose an adaptive control strategy that offers strong guarantees in both the mitigation and localization of line failures. Specifically, we…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Chen Liang , Linqi Guo , Alessandro Zocca , Steven H. Low , Adam Wierman

The increase in renewable energy sources (RESs), like wind or solar power, results in growinguncertainty also in transmission grids. This affects grid stability through fluctuating energy supplyand an increased probability of overloaded…

Systems and Control · Electrical Eng. & Systems 2022-12-07 Rebecca Bauer , Tillmann Mühlpfordt , Nicole Ludwig , Veit Hagenmeyer

Load shedding is usually the last resort to balance generation and demand to maintain stable operation of the electric grid after major disturbances. Current load-shedding optimization practices focus mainly on the physical optimality of…

Systems and Control · Electrical Eng. & Systems 2024-06-27 Xin Fang , Wenbo Wang , Fei Ding

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 the electric system, extreme weather events can cause trips or physical damage to transmission lines, leading to large-scale load shedding. To mitigate power shedding, we propose a framework that pre-positions the commitment of…

Optimization and Control · Mathematics 2026-04-07 Yongzheng Dai , Antonio J. Conejo , Feng Qiu

Chance constrained optimal power flow (CC-OPF) formulations have been proposed to minimize operational costs while controlling the risk arising from uncertainties like renewable generation and load consumption. To solve CC-OPF, we often…

Optimization and Control · Mathematics 2018-09-20 Bowen Li , Ruiwei Jiang , Johanna L. Mathieu