Modeling and Control of Aggregate Air Conditioning Loads for Robust Renewable Power Management

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...

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Bibliographic Details
Published in:IEEE transactions on control systems technology 2013-07, Vol.21 (4), p.1318-1327
Main Authors: Bashash, S., Fathy, H. K.
Format: Article
Language:English
Subjects:
Aggregates
Air conditioning
Atmospheric modeling
Construction
Demand response
Energy management
Equations
Finite difference method
Load modeling
Management
Mathematical model
Mathematical models
Monte Carlo methods
Partial differential equations
Power management
sliding mode control (SMC)
smart grid
Studies
thermostatically controlled loads (TCLs)
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Summary: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.
ISSN:1063-6536
1558-0865
DOI:10.1109/TCST.2012.2204261