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Renewable energy sources such as wind and solar have received much attention in recent years and large amount of renewable generation is being integrated to the electricity networks. A fundamental challenge in power system operation is to…

Optimization and Control · Mathematics 2014-07-11 W. A. Bukhsh , C. Zhang , P. Pinson

The considered optimal control problem of a stochastic power system, is to select the set of power supply vectors which infimizes the probability that the phase-angle differences of any power flow of the network, endangers the transient…

Optimization and Control · Mathematics 2024-01-31 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

Due to recent blackout and system split incidents in power grids worldwide, as well as increased system complexity in view of the energy transition, there has been increasing interest in re-evaluating existing Power System Restoration (PSR)…

Signal Processing · Electrical Eng. & Systems 2026-04-17 Dawn Virginillo , Asja Derviškadić , Mario Paolone

Uncertainty levels in forecasting of renewable generation and demand are known to affect the amount of reserve required to operate the power grid with a given level of reliability. In this paper, we quantify the effects on the system…

Signal Processing · Electrical Eng. & Systems 2018-06-18 Yihui Zuo , Fabrizio Sossan , Mokhtar Bozorg , Mario Paolone

Ensuring the frequency stability of electric grids with increasing renewable resources is a key problem in power system operations. In recent years, a number of advanced controllers have been designed to optimize frequency control. These…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Wenqi Cui , Guanya Shi , Yuanyuan Shi , Baosen Zhang

Low-order frequency response models for power systems have a decades-long history in optimization and control problems such as unit commitment, economic dispatch, and wide-area control. With a few exceptions, these models are built upon the…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Marena Trujillo , Amir Sajadi , Bri-Mathias Hodge

Modern power networks face increasing challenges in controlling their transient frequency behavior at acceptable levels due to low inertia and highly-dynamic units. This paper presents a distributed control strategy regulated on a subset of…

Systems and Control · Computer Science 2018-09-20 Yifu Zhang , Jorge Cortes

Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

Optimization and Control · Mathematics 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

Optimization and Control · Mathematics 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

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

This paper studies the effect of perturbations on the gradient flow of a general nonlinear programming problem, where the perturbation may arise from inaccurate gradient estimation in the setting of data-driven optimization. Under suitable…

Optimization and Control · Mathematics 2024-04-17 Leilei Cui , Zhong-Ping Jiang , Eduardo D. Sontag

The distribution optimal power flow (D-OPF) models have gained attention in recent years to optimally operate acentrally-managed distribution grid. On account of nonconvex formulation that is difficult to solve, several relaxation methods…

Optimization and Control · Mathematics 2019-12-10 Rahul Ranjan Jha , Anamika Dubey

In recent years, several studies conducted by both industry and U.S. Department of Energy (DOE)-funded initiatives have proposed linking North America's Eastern and Western Interconnections (EI and WI) through a multiterminal DC (MTDC)…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Kaustav Chatterjee , Sameer Nekkalapu , Antos Varghese , Marcelo Elizondo , Quan Nguyen , Xiaoyuan Fan

This paper investigates the frequency control of multi-machine power systems subject to uncertain and dynamic net loads. We propose distributed internal model controllers that coordinate synchronous generators and demand response to tackle…

Systems and Control · Computer Science 2020-01-10 Hunmin Kim , Minghui Zhu , Jianming Lian

We consider the problem of voltage stability and reactive power balancing in islanded small-scale electrical networks outfitted with DC/AC inverters ("microgrids"). A droop-like voltage feedback controller is proposed which is quadratic in…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dorfler , Francesco Bullo

In this letter, we analytically investigate the sensitivity of stability index to its dependent variables in general power systems. Firstly, we give a small-signal model, the stability index is defined as the solution to a semidefinite…

Optimization and Control · Mathematics 2023-01-27 Jun Wang , Yue Song , David John Hill , Yunhe Hou

For power grids predominantly featuring large synchronous generators (SGs), there exists a significant body of work bridging optimization and control tasks. A generic workflow in such efforts entails: characterizing the steady state of…

Optimization and Control · Mathematics 2022-10-13 Manish K. Singh , D. Venkatramanan , Sairaj Dhople

High penetration of renewable energy sources intensifies frequency fluctuations in multi-area power systems, challenging both stability and operational safety. This paper proposes a novel distributed frequency control method that ensures…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Xiemin Mo , Tao Liu

The reduced level of system inertia in low-carbon power grids increases the need for alternative frequency services. However, simultaneously optimising the provision of these services in the scheduling process, subject to significant…

Optimization and Control · Mathematics 2021-01-20 Luis Badesa , Fei Teng , Goran Strbac

We study transportation networks controlled by dynamical feedback tolls. We consider a multiscale transportation network model whereby the dynamics of the traffic flows are intertwined with those of the drivers' route choices. The latter…

Optimization and Control · Mathematics 2019-01-30 Rosario Maggistro , Giacomo Como
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