Jun Zheng, Gabriel Laparra, Guchuan Zhu and Meng Li
Article (2020)
|
Accepted Version Terms of Use: All rights reserved. Download (1MB) |
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 |
---|
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 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/ |
![]() |
|
Journal Title: | IEEE Transactions on Control Systems Technology (vol. 28, no. 5) |
---|---|
Publisher: | IEEE |
Official URL: | https://doi.org/10.1109/tcst.2020.2968873 |
Statistics
Total downloads
Downloads per month in the last year
Origin of downloads
Dimensions