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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 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

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

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

Thermostatically controlled loads (TCLs) have the potential to be a valuable resource for the Balancing Authority (BA) of the future. Examples of TCLs include household appliances such as air conditioners, water heaters, and refrigerators.…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Austin R. Coffman , Ana Bušić , Prabir Barooah

Within the realm of dynamic of \emph{smart buildings} and \emph{smart cities}, dynamic response management is playing an ever-increasing role thus attracting the attention of scientists from different disciplines. Dynamic demand response…

Optimization and Control · Mathematics 2014-10-28 Dario Bauso

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

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 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

Ensembles of thermostatically controlled loads (TCL) provide a significant demand response reserve for the system operator to balance power grids. However, this also results in the parasitic synchronization of individual devices within the…

Systems and Control · Electrical Eng. & Systems 2021-01-05 Ilia Luchnikov , David Métivier , Henni Ouerdane , Michael Chertkov

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

A recently developed state-of-the-art agent-based simulation of power distribution systems is capable of modeling the thermal and demand response behavior of many thousands of thermostatic end-use loads. It computes the total power consumed…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 David P. Chassin , Joel M. Malard

We consider the problem of determining the optimal aggregate power consumption of a population of thermostatically controlled loads. This is motivated by the problem of synthesizing the demand response for a load serving entity (LSE)…

Optimization and Control · Mathematics 2018-06-27 Abhishek Halder , Xinbo Geng , Fernando A. C. C. Fontes , P. R. Kumar , Le Xie

As a typical approach of demand response (DR), direct load control (DLC) enables load service entity (LSE) to adjust electricity usage of home-end customers for peak shaving during DLC event. Households are connected in low voltage…

Optimization and Control · Mathematics 2017-05-11 Weiye Zheng , Wenchuan Wu , Boming Zhang , Wanxing Sheng

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

Recent studies on control of aggregate power of an ensemble of thermostatically-controlled-loads (TCLs) have been concentrated on shifting the temperature set points of each TCL in the population. A sudden shift in the set point, however,…

Adaptation and Self-Organizing Systems · Physics 2012-07-06 Soumya Kundu , Nikolai Sinitsyn

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

This paper introduces the design of a demand response network control strategy aimed at thermostatically controlled electric heating and cooling systems in buildings. The method relies on the use of programmable communicating thermostats,…

Optimization and Control · Mathematics 2011-12-07 Simon Parkinson , Dan Wang , Curran Crawford , Ned Djilali

We explore how Demand Response (DR) can effectively provide electricity system services such as for the management of bi-directional power flows and the control of voltage deviations in active distribution networks, without compromising…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Arsam Aryandoust

Electricity peaks can be harmful to grid stability and result in additional generation costs to balance supply with demand. By developing a network of smart appliances together with a quasi-decentralized control protocol, direct load…

Systems and Control · Computer Science 2013-01-24 Bowen Zhang , John Baillieul