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The increasing amount of controllable generation and consumption in distribution grids poses a severe challenge in keeping voltage values within admissible ranges. Existing approaches have considered different optimal power flow…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Miguel Picallo , Adolfo Anta , Bart De Schutter

Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

The growing amount of fluctuating renewable infeeds and market liberalization increases uncertainty in power system operation. To capture the influence of fluctuations in operational planning, we model the forecast errors of the uncertain…

Optimization and Control · Mathematics 2015-08-26 Line Roald , Frauke Oldewurtel , Bart Van Parys , Göran Andersson

In power system operation, characterizing the stochastic nature of wind power is an important albeit challenging issue. It is well known that distributions of wind power forecast errors often exhibit significant variability with respect to…

Data Analysis, Statistics and Probability · Physics 2017-12-05 Zhiwen Wang , Chen Shen , Feng Liu

We consider an optimal switching problem with random lag and possibility of component failure. The random lag is modeled by letting the operation mode follow a regime switching Markov-model with transition intensities that depend on the…

Optimization and Control · Mathematics 2019-08-22 Magnus Perninge

In this manuscript we continue the thread of [M. Chertkov, F. Pan, M. Stepanov, Predicting Failures in Power Grids: The Case of Static Overloads, IEEE Smart Grid 2011] and suggest a new algorithm discovering most probable extreme stochastic…

Systems and Control · Computer Science 2011-09-08 Michael Chertkov , Mikhail Stepanov , Feng Pan , Ross Baldick

The power domination problem seeks to determine the minimum number of phasor measurement units (PMUs) needed to monitor an electric power network. We introduce random sensor failure before the power domination process occurs and call this…

Combinatorics · Mathematics 2023-12-20 Beth Bjorkman , Zachary Brennan , Mary Flagg , Johnathan Koch

As the penetration of wind generation increases, the uncertainty it brings has imposed great challenges to power system operation. To cope with the challenges, tremendous research work has been conducted, among which two aspects are of most…

Optimization and Control · Mathematics 2018-10-29 Bin Liu , Bingxu Zhai , Mengchen Liu , Feng Liu , Haibo Lan

The stability of synchronization state in networks of oscillators are studied under the assumption that oscillators and their couplings have slightly mismatched parameters. A generalized master stability function is provided that takes the…

Dynamical Systems · Mathematics 2014-07-29 Saeed Manaffam , Alireza Seyedi

The collective strength of a system of fibers, each having a failure threshold drawn randomly from a distribution, indicates the maximum load carrying capacity of different disordered systems ranging from disordered solids, power-grid…

Statistical Mechanics · Physics 2015-11-03 Soumyajyoti Biswas , Parongama Sen

Power systems are very large and complex, it can be influenced by many unexpected events this makes power system optimization problems difficult to solve, hence methods for solving these problems ought to be an active research topic. This…

Neural and Evolutionary Computing · Computer Science 2024-05-03 Soufiane Bouabbadi

Buildings are essential components of power grids, and their energy performance directly affects overall power system operation. This paper presents a novel stochastic optimization framework for building energy management systems, aiming to…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Hossein Nourollahi Hokmabad , Tala Hemmati Shahsavar , Pedro P. Vergara , Oleksandr Husev , Juri Belikov

In many power grids, a large portion of the energy costs for commercial and industrial consumers are set with reference to the coincident peak load, the demand during the maximum system-wide peak, and their own maximum peak load, the…

Optimization and Control · Mathematics 2024-09-09 Rene Carmona , Xinshuo Yang , Siddharth Bhela , Claire Zeng

Power grid expansion planning requires making large investment decisions in the present that will impact the future cost and reliability of a system exposed to wide-ranging uncertainties. Extreme temperatures can pose significant challenges…

Optimization and Control · Mathematics 2024-05-30 Ramsey Rossmann , Mihai Anitescu , Julie Bessac , Michael Ferris , Mitchell Krock , James Luedtke , Line Roald

Simulating potential cascading failures can be useful for avoiding or mitigating such events. Currently, existing steady-state analysis tools are ill-suited for simulating cascading outages as they do not model frequency dependencies, they…

Signal Processing · Electrical Eng. & Systems 2019-11-25 Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Larry Pileggi

Optimization models have been broadly used within side the energy industry as useful decision-making systems for scheduling and dispatching electric powered energy resources; this is applied in a system called unit commitment (UC). Unit…

Optimization and Control · Mathematics 2022-04-01 Angel Zambrano

We consider the problem of synchronizing two electric power generators, one of which (the leader) is serving a time-varying electrical load, so that they can ultimately be connected to form a single power system. Each generator is described…

Systems and Control · Electrical Eng. & Systems 2019-09-11 Olaoluwapo Ajala , Alejandro Dominguez-Garcia , Daniel Liberzon

For optimal power flow problems with chance constraints, a particularly effective method is based on a fixed point iteration applied to a sequence of deterministic power flow problems. However, a priori, the convergence of such an approach…

Optimization and Control · Mathematics 2023-12-13 Johannes J. Brust , Mihai Anitescu

The increasing frequency of extreme weather events poses significant risks to power distribution systems, leading to widespread outages and severe economic and social consequences. This paper presents a novel simulation framework for…

Systems and Control · Electrical Eng. & Systems 2025-02-13 Xuesong Wang , Shuo Yuan , Sharaf K. Magableh , Oraib Dawaghreh , Caisheng Wang , Le Yi Wang

We propose two scenario-based optimization models for power grid resilience decision making that integrate output from a hydrology model with a power flow model. The models are used to identify an optimal substation hardening strategy…

Optimization and Control · Mathematics 2023-02-22 Ashutosh Shukla , Erhan Kutanoglu , John J. Hasenbein