Abstract : Optimizing the operation of heating systems in buildings has become of high interest. The control objective of such systems is to minimize the heating energy bills while maintaining a certain indoor thermal comfort. Dealing with electric convectors, the heating price is proportional to the amount of heat delivered. Hence, using a linear model of the process in an MPC environment, the optimization problem can be stated in an LP form. In this paper we treat the case of multi-zone building temperature regulation, where the available electrical power is lower than the sum of the maximum powers of local heaters. This acts as a coupling constraint in our optimization problem. A distributed MPC (DMPC) algorithm based on Dantzig-Wolfe decomposition is proposed, considering also the thermal coupling between adjacent zones. Numerical results are presented in order to illustrate the effectiveness of the proposed control strategy.
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Submitted on : Thursday, September 22, 2011 - 11:16:35 AM Last modification on : Friday, January 8, 2021 - 3:42:55 AM
Daniel-Petru Morosan, Romain Bourdais, Didier Dumur, Jean Buisson. Distributed MPC for Multi-zone Temperature Regulation with Coupled Constraints. 18th IFAC World Congress, Aug 2011, Milan, Italy. CD-ROM - pp.1552-1557. ⟨hal-00625662⟩