Modeling and control of aggregate air conditioning loads for robust renewable power management

Saeid Bashash, Hosam K. Fathy

Research output: Contribution to journalArticlepeer-review

233 Scopus citations


This paper examines the problem of demand-side energy management in smart power grids through the setpoint control of aggregate thermostatic loads. This paper models these loads using a novel partial differential equation framework that builds on existing diffusion- and transport-based load modeling ideas in the literature. Both this partial differential equation (PDE) model and its finite-difference approximations are bilinear in the state and control variables. This key insight creates a unique opportunity for designing nonlinear load control algorithms with theoretically guaranteed Lyapunov stability properties. This paper's main contribution to the literature is the development of the bilinear PDE model and a sliding mode controller for the real-time management of thermostatic air conditioning loads. The proposed control scheme shows promising performance in adapting aggregate air conditioning loads to intermittent wind power.

Original languageEnglish (US)
Article number6239581
Pages (from-to)1318-1327
Number of pages10
JournalIEEE Transactions on Control Systems Technology
Issue number4
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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