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We explore methods to use thermostatically controlled loads (TCLs), such as water heaters and air conditioners, to provide ancillary services by assisting in balancing generation and load. We show that by adding simple imbedded instructions…

Dynamical Systems · Mathematics 2013-01-15 N. A. Sinitsyn , Soumya Kundu , S. Backhaus

We investigate the structural and topological properties of hydrophobic homopolymer chains in aqueous solutions using molecular dynamics simulations and circuit topology (CT) analysis. By combining geometric observables, such as radius of…

Soft Condensed Matter · Physics 2026-01-01 Junichi Komatsu , Kenichiro Koga , Jonas Berx

This study proposes a computationally efficient method for optimizing multi-zone thermostatically controlled loads (TCLs) by leveraging dimensionality reduction through an auto-encoder. We develop a multi-task learning framework to jointly…

Systems and Control · Electrical Eng. & Systems 2025-05-02 Xueyuan Cui , Yi Wang , Bolun Xu

The statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the Hamiltonian of mean force. In contrast to the reduced density matrix of an open quantum system, or…

Statistical Mechanics · Physics 2020-10-28 Peter Talkner , Peter Hänggi

Steady-state quantum thermal machines are typically characterized by a continuous flow of heat between different reservoirs. However, at the level of discrete stochastic realizations, heat flow is unraveled as a series of abrupt quantum…

Quantum Physics · Physics 2025-06-05 Abhaya S. Hegde , Patrick P. Potts , Gabriel T. Landi

This paper addresses the modeling and control of heterogeneous populations of thermostatically controlled loads (TCLs) operated by model predictive control (MPC) schemes at level of each TCL. It is shown that the dynamics of such TCLs…

Optimization and Control · Mathematics 2019-12-24 Jun Zheng , Gabriel Laparra , Guchuan Zhu , Meng Li

We study the statistics of heat transferred in a given time interval $t_M$, through a finite harmonic chain, called the center $(C)$, which is connected with two heat baths, the left $(L)$ and the right $(R)$, that are maintained at two…

Statistical Mechanics · Physics 2012-05-31 Bijay Kumar Agarwalla , Baowen Li , Jian-Sheng Wang

Energy requirements for heating and cooling of buildings constitute a major fraction of end use energy consumed. Therefore, it is important to provide the occupant comfort requirements in buildings in an energy efficient manner. However,…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Vikas Chandan

This paper focuses on the coordination of a population of thermostatically controlled loads (TCLs) with unknown parameters to achieve group objectives. The problem involves designing the device bidding and market clearing strategies to…

Optimization and Control · Mathematics 2015-06-16 Sen Li , Wei Zhang , Jianming Lian , Karanjit Kalsi

Observations of clusters and groups imply that such halos are roughly in global thermal equilibrium, with heating balancing cooling when averaged over sufficiently long time- and length-scales; the ICM is, however, very likely to be locally…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Prateek Sharma , Michael McCourt , Eliot Quataert , Ian J. Parrish

The temperature profile (TP) of the intracluster medium (ICM) is of primeval importance for deriving the dynamical parameters of the largest equilibrium systems known in the universe, in particular their total mass profile. Analytical…

Astrophysics · Physics 2009-10-31 S. Dos Santos

This review is devoted to the problem of thermalization in a small isolated conglomerate of interacting constituents. A variety of physically important systems of intensive current interest belong to this category: complex atoms, molecules…

Statistical Mechanics · Physics 2016-04-18 F. Borgonovi , F. M. Izrailev , L. F. Santos , V. G. Zelevinsky

Indoor thermal comfort immensely impacts the health and performance of occupants. Therefore, researchers and engineers have proposed numerous computational models to estimate thermal comfort (TC). Given the impetus toward energy efficiency,…

Machine Learning · Computer Science 2022-04-27 Betty Lala , Hamada Rizk , Srikant Manas Kala , Aya Hagishima

A novel centralized model predictive control (MPC) is proposed for comfort and energy management in a residential building. The residential setup used here is equipped with a photovoltaic (PV) solar system and a stationary home battery…

Systems and Control · Electrical Eng. & Systems 2019-12-17 Sayani Seal , Benoit Boulet , Vahid Raissi Dehkordi

This paper presents a mean-field control approach for Piecewise Deterministic Markov Processes (PDMPs), specifically designed for controlling a large number of agents. By modeling the interactions of a large number of agents through an…

Optimization and Control · Mathematics 2025-11-04 Thomas Le Corre , Adrien Séguret , Ana Bušić

This paper presents a new aggregate power tracking control scheme for populations of thermostatically controlled loads (TCLs). The control design is performed in the framework of partial differential equations (PDEs) based on a late-lumping…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Zhenhe Zhang , Jun Zheng , Guchuan Zhu

In tropical countries with high humidity, air conditioning can account for up to 60% of a building's energy use. For commercial buildings with centralized systems, the efficiency of the chiller plant is vital, and model predictive control…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Zhan Wang , Chen Weidong , Huang Zhifeng , Md Raisul Islam , Chua Kian Jon

Strong-coupling statistical thermodynamics is formulated as Hamiltonian dynamics of an observed system interacting with another unobserved system (a bath). It is shown that the entropy production functional of stochastic thermodynamics,…

Statistical Mechanics · Physics 2018-04-18 Erik Aurell

There is a common view in thermodynamics that the behavior of a macroscopic system can be described by only a few state variables. Although this is true for many cases, it is unclear whether it is meaningful to ask how many state variables…

Statistical Mechanics · Physics 2022-01-05 Koun Shirai

Time dynamics of isolated many-body quantum systems has long been an elusive subject. Very recently, however, meaningful experimental studies of the problem have finally become possible, stimulating theoretical interest as well. Progress in…

Statistical Mechanics · Physics 2009-06-11 Marcos Rigol , Vanja Dunjko , Maxim Olshanii