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Queuing models provide insight into the temporal inhomogeneity of human dynamics, characterized by the broad distribution of waiting times of individuals performing tasks. We study the queuing model of an agent trying to execute a task of…

Physics and Society · Physics 2012-06-05 Hang-Hyun Jo , Raj Kumar Pan , Kimmo Kaski

The operation of the power grid is becoming more stressed, due to the addition of new large loads represented by Electric Vehicles (EVs) and a more intermittent supply due to the incorporation of renewable sources. As a consequence, the…

Optimization and Control · Mathematics 2016-11-15 Islam Safak Bayram , George Michailidis , Michael Devetsikiotis

This paper presents an energy management framework for building climate comfort (BCC) systems interconnected in a grid via aquifer thermal energy storage (ATES) systems in the presence of two types of uncertainty (private and common). ATES…

Optimization and Control · Mathematics 2018-05-16 V. Rostampour , T. Keviczky

Transient stability analysis (TSA) plays an important role in power system analysis to investigate the stability of power system. Traditionally, transient stability analysis methods have been developed using time domain simulation by means…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Xiang Zhang , Renchang Dai , Peng Wei , Yijing Liu , Guangyi Liu , Zhiwei Wang

The thermodynamic uncertainty relation expresses a universal trade-off between precision and entropy production, which applies in its original formulation to current observables in steady-state systems. We generalize this relation to…

Statistical Mechanics · Physics 2018-12-06 Timur Koyuk , Udo Seifert , Patrick Pietzonka

The growing deployment of electric mobility calls for power system analyses to investigate to what extent the simultaneous charging of electric vehicles leads to degraded network operation and to validate the efficiency of countermeasures.…

Systems and Control · Electrical Eng. & Systems 2023-02-09 Davide del Giudice , Angelo Maurizio Brambilla , Federico Bizzarri , Daniele Linaro , Samuele Grillo

As energy markets begin clearing at sub-hourly rates, their interaction with load control systems becomes a potentially important consideration. A simple model for the control of thermal systems using market-based power distribution…

Chaotic Dynamics · Physics 2008-12-02 Nicolas Ho , David P. Chassin

This work suggests several methods of uncertainty treatment in multiscale modelling and describes their application to a system of coupled turbulent transport simulations of a tokamak plasma. We propose a method to quantify the usually…

Plasma Physics · Physics 2023-07-10 Yehor Yudin , David Coster , Udo von Toussaint , Frank Jenko

Queueing systems are widely applicable stochastic models with use cases in communication networks, healthcare, service systems, etc. Although their optimal control has been extensively studied, most existing approaches assume perfect…

Machine Learning · Computer Science 2025-04-08 Daniel Freund , Thodoris Lykouris , Wentao Weng

The models studied in the steady state involve two queues which are served either by a single server whose speed depends on the number of jobs present, or by several parallel servers whose number may be controlled dynamically. Job service…

Performance · Computer Science 2021-12-03 Andrea Marin , Isi Mitrani

We consider the problem of planning the aggregate energy consumption for a set of thermostatically controlled loads for demand response, accounting price forecast trajectory and thermal comfort constraints. We address this as a…

Optimization and Control · Mathematics 2019-05-09 Fernando A. C. C. Fontes , Abhishek Halder , Jorge Becerril , P. R. Kumar

The thermodynamic uncertainty relation is a prominent result in stochastic thermodynamics that provides a bound on the fluctuations of any thermodynamic flux, also known as current, in terms of the average rate of entropy production. Such…

Statistical Mechanics · Physics 2021-12-22 Taylor Wampler , Andre C Barato

The tandem fluid queueing model is a useful tool for performance analysis and control design for a variety of transportation systems. In this article, we study the joint impact of stochastic capacity and spillback on the long-time…

Optimization and Control · Mathematics 2019-05-07 Li Jin , Saurabh Amin

Distribution systems of the future smart grid require enhancements to the reliability of distribution system state estimation (DSSE) in the face of low measurement redundancy, unsynchronized measurements, and dynamic load profiles. Micro…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Austin Cooper , Arturo Bretas , Sean Meyn , Newton G. Bretas

Optimal control of thermostatically controlled loads connected to a district heating network is considered a sequential decision- making problem under uncertainty. The practicality of a direct model-based approach is compromised by two…

Systems and Control · Computer Science 2017-02-27 Bert J. Claessens , Dirk Vanhoudt , Johan Desmedt , Frederik Ruelens

The ever increasing complexity of real-time control systems results in significant deviations in the timing of sensing and actuation, which may lead to degraded performance or even instability. In this paper we present a method to analyze…

Systems and Control · Electrical Eng. & Systems 2020-04-27 Maximilian Gaukler , Günter Roppenecker , Peter Ulbrich

The emergence of distributed energy resources has led to new challenges in the operation and planning of power networks. Of particular significance is the introduction of a new layer of complexity that manifests in the form of new…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Aaqib Peerzada , Miroslav Begovic , Wesam Rohouma , Robert S. Balog

Due to the penetration of renewable energy resources and load deviation, uncertainty handling is one of the main challenges for power system; therefore the need for accurate decision-making in a power system under the penetration of…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Mohammad Hemmati , Behnam Mohammadi-Ivatloo , Alireza Soroudi

We propose a thermodynamically consistent minimal model to study synchronization which is made of driven and interacting three-state units. This system exhibits at the mean-field level two bifurcations separating three dynamical phases: a…

Statistical Mechanics · Physics 2018-09-12 Tim Herpich , Juzar Thingna , Massimiliano Esposito

Flexibility of energy consumption can be harnessed for the purposes of ancillary services in a large power grid. In prior work by the authors a randomized control architecture is introduced for individual loads for this purpose. In examples…

Optimization and Control · Mathematics 2016-08-10 Yue Chen , Ana Bušić , Sean Meyn
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