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Aggregate power control of heterogeneous TCL populations governed by Fokker–Planck equations

Jun Zheng, Gabriel Laparra, Guchuan Zhu and Meng Li

Article (2020)

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Cite this document: Zheng, J., Laparra, G., Zhu, G. & Li, M. (2020). Aggregate power control of heterogeneous TCL populations governed by Fokker–Planck equations. IEEE Transactions on Control Systems Technology, 28(5), p. 1915-1927. doi:10.1109/tcst.2020.2968873
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Abstract

This article addresses the modeling and control of heterogeneous populations of thermostatically controlled loads (TCLs) operated by model predictive control (MPC) schemes at the level of each TCL. It is shown that the dynamics of such TCLs populations can be described by a pair of Fokker–Planck equations coupled via the actions in the domain. The technique of input–output feedback linearization is used in the design of aggregate power control, which leads to a nonlinear system in a closed loop. Well-posedness analysis is carried out to validate the developed control scheme. The closed-loop stability of the system is assessed by rigorous analysis. A simulation study is contacted, and the obtained results confirm the validity and effectiveness of the proposed approach.

Uncontrolled Keywords

Aggregate load control, Fokker–Planck equation, stability, thermostatically controlled loads (TCLs), well posedness.

Open Access document in PolyPublie
Subjects: 2500 Génie électrique et électronique > 2500 Génie électrique et électronique
Department: Département de génie électrique
Funders: CRSNG/NSERC
Grant number: RGPIN-2018-04571
Date Deposited: 08 Sep 2020 11:36
Last Modified: 09 Sep 2020 01:20
PolyPublie URL: https://publications.polymtl.ca/5384/
Document issued by the official publisher
Journal Title: IEEE Transactions on Control Systems Technology (vol. 28, no. 5)
Publisher: IEEE
Official URL: https://doi.org/10.1109/tcst.2020.2968873

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