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arXiv · 2010.10819

A PDE--based Power Tracking Control of Heterogeneous TCL Populations

Jun Zheng·Guchuan Zhu·Meng Li
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Abstract

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 and techniques. By employing a thermostat--based deadband control with forced switching in the operation of individual TCLs, the aggregated dynamics of TCL populations are governed by a pair of Fokker--Planck equations coupled via the actions located both on the boundaries and in the domain. The technique of input-output feedback linearization is used for the design of aggregate power tracking control, which results in a nonlinear system in a closed loop. As the considered setting is a problem with time-varying boundaries, well-posedness assessment and stability analysis are carried out to confirm the validity of the developed control scheme. A simulation study is contacted to evaluate the effectiveness and the performance of the proposed approach.

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Jun Zheng, Guchuan Zhu, Meng Li. 2020-10-21. A PDE--based Power Tracking Control of Heterogeneous TCL Populations. https://arxiv.org/abs/2010.10819

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