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

Jun Zheng, Gabriel Laparra, Guchuan Zhu, Meng Li

Article (2020)

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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.

Subjects: 2500 Electrical and electronic engineering > 2500 Electrical and electronic engineering
Department: Department of Electrical Engineering
Funders: CRSNG/NSERC
Grant number: RGPIN-2018-04571
PolyPublie URL: https://publications.polymtl.ca/5384/
Journal Title: IEEE Transactions on Control Systems Technology (vol. 28, no. 5)
Publisher: IEEE
DOI: 10.1109/tcst.2020.2968873
Official URL: https://doi.org/10.1109/tcst.2020.2968873
Date Deposited: 08 Sep 2020 11:36
Last Modified: 18 Nov 2022 19:03
Cite in APA 7: 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), 1915-1927. https://doi.org/10.1109/tcst.2020.2968873

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