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This paper presents a convex reformulation of a nonlinear constrained optimization problem for Markov decision processes, and applies the technical findings to optimal control problems for an ensemble of thermostatically controlled loads…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Emilio Benenati , Marcello Colombino , Emiliano Dall'Anese

Flexible loads, e.g. thermostatically controlled loads (TCLs), are technically feasible to participate in demand response (DR) programs. On the other hand, there is a number of challenges that need to be resolved before it can be…

Systems and Control · Computer Science 2018-03-15 Michael Chertkov , Deepjyoti Deka , Yury Dvorkin

Thermostatically Controlled Loads (TCL), e.g. air-conditioners and heaters, are by far the most wide-spread consumers of electricity. Normally the devices are calibrated to provide the so-called bang-bang control of temperature -- changing…

Systems and Control · Computer Science 2017-01-19 Michael Chertkov , Vladimir Chernyak

Coordinated aggregation of a large population of thermostatically controlled loads (TCLs) presents a great potential to provide various ancillary services to the grid. One of the key challenges of integrating TCLs into system level…

Optimization and Control · Mathematics 2017-04-04 Lin Zhao , Wei Zhang , He Hao , Karan Kalsi

Transactive or market-based coordination strategies have recently been proposed for controlling the aggregate demand of a large number of electric loads. Such schemes offer operational benefits such as enforcing distribution feeder capacity…

Systems and Control · Computer Science 2017-02-17 Md Salman Nazir , Ian A. Hiskens

This work discusses a two-step procedure, based on formal abstractions, to generate a finite-space stochastic dynamical model as an aggregation of the continuous temperature dynamics of a homogeneous population of Thermostatically…

Systems and Control · Computer Science 2013-07-31 Sadegh Esmaeil Zadeh Soudjani , Alessandro Abate

Residential Thermostatically Controlled Loads (TCLs) such as Air Conditioners (ACs), heat pumps, water heaters, and refrigerators have an enormous thermal storage potential for providing regulation reserve to the grid. In this paper, we…

Systems and Control · Computer Science 2014-12-09 He Hao , Borhan M. Sanandaji , Kameshwar Poolla , Tyrone L. Vincent

We study the collective phenomena and constraints associated with the aggregation of individual cooling units from a statistical mechanics perspective. These units are modelled as Thermostatically Controlled Loads (TCLs) and represent zones…

Physics and Society · Physics 2022-08-30 Lucas Fuentes Valenzuela , Lindell Williams , Michael Chertkov

This paper presents a multi-agent control architecture and an online optimization method based on dynamic average consensus to coordinate the power consumption of a large population of Thermostatically Controlled Loads (TCLs). Our objective…

Systems and Control · Electrical Eng. & Systems 2019-08-30 Mauro Franceschelli , Alessandro Pilloni , Andrea Gasparri

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

Optimization and Control · Mathematics 2023-10-11 Zhenhe Zhang , Jun Zheng , Guchuan Zhu

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

Controlling large populations of thermostatically controlled loads (TCLs), such as water heaters, poses significant challenges due to the need to balance global constraints (e.g., grid stability) with individual requirements (e.g., physical…

Optimization and Control · Mathematics 2025-10-02 Thomas Le Corre , Julien Cardinal , Ana Bušić

Non-generating resources such as thermostatically controlled loads (TCLs) can arbitrage energy prices and provide balancing reserves when aggregated due to their thermal energy storage capacity. Based on a performed survey of Swedish…

Systems and Control · Electrical Eng. & Systems 2021-03-12 Lars Herre , Behrouz Nourozi , Mohammad Reza Hesamzadeh , Qian Wang , Lennart Söder

Under transactive (market-based) coordination, a population of distributed energy resources (DERs), such as thermostatically controlled loads (TCLs) and storage devices, bid into an energy market. Consequently, a certain level of demand…

Systems and Control · Computer Science 2018-10-04 Md Salman Nazir , Ian A. Hiskens

Demand response (DR) programs aim to engage distributed small-scale flexible loads, such as thermostatically controllable loads (TCLs), to provide various grid support services. Linearly Solvable Markov Decision Process (LS-MDP), a variant…

Systems and Control · Electrical Eng. & Systems 2020-04-22 Ali Hassan , Deepjyoti Deka , Michael Chertkov , Yury Dvorkin

This chapter presents the development and the analysis of a scheme for aggregate power tracking control of heterogeneous populations of thermostatically controlled loads (TCLs) based on partial differential equations (PDEs) control theory…

Optimization and Control · Mathematics 2020-10-22 Jun Zheng , Guchuan Zhu , Meng Li

This paper presents a distributed control strategy for air conditioning loads (ACLs) to participate in the scheme of mitigating microgrid tie-line power fluctuations. The concept of baseline load is emphasized for ACL control in this paper.…

Optimization and Control · Mathematics 2017-01-12 Yao Yao , Peichao Zhang

This paper considers demand side management in smart power grid systems containing significant numbers of thermostatically controlled loads such as air conditioning systems, heat pumps, etc. Recent studies have shown that the overall power…

Optimization and Control · Mathematics 2013-02-14 Jan Bendtsen , Srinivas Sridharan

The aim of the project is to investigate and assess opportunities for applying reinforcement learning (RL) for power system control. As a proof of concept (PoC), voltage control of thermostatically controlled loads (TCLs) for power…

Machine Learning · Computer Science 2020-05-12 Oleh Lukianykhin , Tetiana Bogodorova

To study the impacts of price responsive demand on the electric power system requires better load models. This paper discusses the modeling of uncertainties in aggregated thermostatically controlled loads using a state queueing (SQ) model.…

Chaotic Dynamics · Physics 2016-11-17 Ning Lu , David P. Chassin , Steve E. Widergren