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Aggregation and Control of Populations of Thermostatically Controlled Loads by Formal Abstractions

Lookup NU author(s): Dr Sadegh SoudjaniORCiD



This is the authors' accepted manuscript of an article that has been published in its final definitive form by IEEE, 2015.

For re-use rights please refer to the publisher's terms and conditions.


This work discusses a two-step procedure, based on the use of formal abstractions, to generate a finite-space stochastic dynamical model as an aggregation of the continuous temperature dynamics of a homogeneous population of Thermostatically Controlled Loads (TCLs). The temperature of a TCL is described by a stochastic difference equation and the TCL status (ON, OFF) by a deterministic switching mechanism. The procedure is deemed to be formal, as it allows the quantification of the error introduced by the abstraction. As such, it builds and improves on a known, earlier approximation technique used in the literature. Further, the contribution discusses the extension to the instance of heterogeneous populations of TCLs by means of two approaches. It moreover investigates the problem of global (population-level) power reference tracking and load balancing for TCLs that are explicitly dependent on a control input. The procedure is tested on a case study and benchmarked against the mentioned existing approach in the literature.

Publication metadata

Author(s): Esmaeil Zadeh Soudjani S, Abate A

Publication type: Article

Publication status: Published

Journal: IEEE Transactions on Control Systems Technology

Year: 2015

Volume: 23

Pages: 975-990

Print publication date: 14/04/2015

Online publication date: 16/10/2014

Acceptance date: 10/08/2014

Date deposited: 07/11/2019

ISSN (print): 1063-6536

ISSN (electronic): 1558-0865

Publisher: IEEE


DOI: 10.1109/TCST.2014.2358844


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