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Measuring and quantifying non-equilibrium dynamics in active biological systems is a major challenge, because of their intrinsic stochastic nature and the limited number of variables accessible in any real experiment. We investigate what…

Biological Physics · Physics 2018-07-25 Federica Mura , Grzegorz Gradziuk , Chase P. Broedersz

The frequency constitutes a key state variable of electrical power grids. However, as the frequency is subject to several sources of fluctuations, ranging from renewable volatility to demand fluctuations and dispatch, it is strongly…

Adaptation and Self-Organizing Systems · Physics 2020-03-25 Mehrnaz Anvari , Leonardo Rydin Gorjão , Marc Timme , Dirk Witthaut , Benjamin Schäfer , Holger Kantz

Voltage instability is a major threat in power system operation. The growing presence of constant power loads significantly aggravates this issue, hence motivating the development of new analysis methods for both existence and stability of…

Systems and Control · Computer Science 2018-09-24 Alexey S. Matveev , Juan E. Machado , Romeo Ortega , Johannes Schiffer , Anton Pyrkin

Large electricity customers (e.g., large data centers) can exhibit huge and variable electricity demands, which poses significant challenges for the electricity suppliers to plan for sufficient capacity. Thus, it is desirable to design…

Computer Science and Game Theory · Computer Science 2020-09-15 Pan Lai , Lingjie Duan , Xiaojun Lin

This paper proposes online algorithms for dynamic matching markets in power distribution systems, which at any real-time operation instance decides about matching -- or delaying the supply of -- flexible loads with available renewable…

Systems and Control · Electrical Eng. & Systems 2020-07-17 Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

Renewable energy productions and electrification of mobility are promising solutions to reduce greenhouse gas emissions. Their effective integration in a power grid encounters several challenges. The uncertain nature of renewable energy…

Systems and Control · Electrical Eng. & Systems 2023-01-11 Manijeh Alipour , Omid Alizadeh-Mousavi

Recent studies have demonstrated the potential of flexible loads in providing frequency response services. However, uncertainty and variability in various weather-related and end-use behavioral factors often affect the demand-side control…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Sai Pushpak Nandanoori , Soumya Kundu , Jianming Lian , Umesh Vaidya , Draguna Vrabie , Karanjit Kalsi

We consider the use of pricing as a regulatory mechanism when an unknown number of autonomous agents compete for access to a shared resource (possibly limited in volume or capacity). In standard dynamic pricing control systems, an…

Optimization and Control · Mathematics 2025-11-24 Christopher King , Homayoun Hamedmoghadam , Christos G. Cassandras , Fabian R. Wirth , Robert N. Shorten

The increasing integration of renewable energy sources into power systems is intensifying the demand for greater flexibility among industrial electricity consumers. However, operational constraints, production requirements, and market…

Systems and Control · Electrical Eng. & Systems 2025-09-22 Sebastián Rojas-Innocenti , Enrique Baeyens , Alejandro Martín-Crespo , Sergio Saludes-Rodil , Fernando Frechoso

Demand response (DR) is a cost-effective and environmentally friendly approach for mitigating the uncertainties in renewable energy integration by taking advantage of the flexibility of customers' demands. However, existing DR programs…

Optimization and Control · Mathematics 2017-05-11 Joshua Comden , Zhenhua Liu , Yue Zhao

The synchronization stability has been analyzed as one of the important dynamical characteristics of power grids. In this study, we bring the operational perspective to the synchronization stability analysis by counting not only full but…

Physics and Society · Physics 2021-07-07 Heetae Kim

The energy system is rapidly changing to accommodate the increasing number of renewable generators and the general transition towards a more sustainable future. Simultaneously, business models and market designs evolve, affecting power-grid…

Adaptation and Self-Organizing Systems · Physics 2020-03-24 Leonardo Rydin Gorjão , Mehrnaz Anvari , Holger Kantz , Christian Beck , Dirk Witthaut , Marc Timme , Benjamin Schäfer

The accurate prediction of short-term electricity prices is vital for effective trading strategies, power plant scheduling, profit maximisation and efficient system operation. However, uncertainties in supply and demand make such…

Econometrics · Economics 2023-04-20 Mira Watermeyer , Thomas Möbius , Oliver Grothe , Felix Müsgens

A market consisting of a generator with thermal and renewable generation capability, a set of non-preemptive loads (i.e., loads which cannot be interrupted once started), and an independent system operator (ISO) is considered. Loads are…

Systems and Control · Electrical Eng. & Systems 2021-12-14 Nathan Dahlin , Rahul Jain

This paper formulates dynamic density functions, based upon skewed-t and similar representations, to model and forecast electricity price spreads between different hours of the day. This supports an optimal day ahead storage and discharge…

Applications · Statistics 2019-03-18 Ekaterina Abramova , Derek Bunn

The ongoing energy transition challenges the stability of the electrical power system. Stable operation of the electrical power grid requires both the voltage (amplitude) and the frequency to stay within operational bounds. While much…

Systems and Control · Electrical Eng. & Systems 2021-12-07 Eder Batista Tchawou Tchuisseu , Eric-Donald Ndogmo , Pavel Procházka , Paul Woafo , Pere Colet , Benjamin Schäfer

Community electricity storage systems for multiple applications promise benefits over household electricity storage systems. More economical flexibility options such as demand response and sector coupling might reduce the market size for…

Systems and Control · Electrical Eng. & Systems 2020-11-12 Fabian Scheller , Robert Burkhardt , Robert Schwarzeit , Russell McKenna , Thomas Bruckner

Optimizing the stability and control performance of complex networks often hinges on effectively identifying critical nodes for targeted intervention. Due to their inherent complexity and high dimensionality, large-scale energy flow…

Physics and Society · Physics 2025-08-26 Yi Li , Xin Li

The increasing penetration of renewable energy sources introduces significant challenges to power grid stability, primarily due to their inherent variability. A new opportunity for grid operation is the smart integration of electricity…

Optimization and Control · Mathematics 2025-10-30 Janik Pinter , Frederik Zahn , Maximilian Beichter , Ralf Mikut , Veit Hagenmeyer

In this article, we consider a dynamic model of a three-phase power system including nonlinear generator dynamics, transmission line dynamics, and static nonlinear loads. We define a synchronous steady-state behavior which corresponds to…

Optimization and Control · Mathematics 2018-11-29 Dominic Groß , Catalin Arghir , Florian Dörfler