Modeling and control insights into demand-side energy management through setpoint control of thermostatic loads

Saeid Bashash, Hosam K. Fathy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

107 Scopus citations

Abstract

This paper examines the problem of using thermostat offset signals to directly control distributed air conditioning loads attached to the grid. The paper models these loads using a novel partial differential equation framework that builds on existing diffusion-based load modeling ideas in the literature. Both this PDE model and its finite-difference discretizations are bilinear in the state and control variables. This key insight creates a unique opportunity for designing nonlinear direct load control algorithms with theoretically guaranteed Lyapunov stability properties. The paper's main contribution to the literature is the development of the bilinear PDE model and Lyapunov-stable controller for real-time management of thermostatic air conditioning loads.

Original languageEnglish (US)
Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4546-4553
Number of pages8
ISBN (Print)9781457700804
DOIs
StatePublished - 2011

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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    Bashash, S., & Fathy, H. K. (2011). Modeling and control insights into demand-side energy management through setpoint control of thermostatic loads. In Proceedings of the 2011 American Control Conference, ACC 2011 (pp. 4546-4553). [5990939] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2011.5990939