La Chaire éco-conception devient le lab recherche environnement VINCI ParisTech. Cette évolution marque le début d’un nouveau cycle du programme de recherche qui vise à multiplier les applications opérationnelles.
Éco-Conception des ensembles bâtis et des infrastructures
Eco-design of buildings and infrastructure
Optimal control of heating in a two-zone building using price decomposition-coordination method, 31st International Conference on Efficiency, Cost, Optimization, Simulation and Environmental Impact of Energy Systems
Themes: impacts environnement, éco-conception, space heating
To avoid electricity peak loads in winter buildings can be pre-heated during off-peak hours using their
thermal mass. A way to guarantee comfort levels while deferring electricity consumption is to solve an
Optimal Control Problem (OCP) which consists in finding the heating power profile minimising the heating bill
over a time horizon. An OCP continuous-time resolution method was tested at monozone buildings scale .
The originality of this paper is to extend this continuous resolution method to a two-zone scale. This is a first
step toward multi-zone buildings control. At multi-zone scale, three resolution approaches are possible. The
first is the centralised method which consists in solving a unique global OCP. However centralised approach
is not suitable for large scale systems due to high computational time or a lack of modularity. At the opposite,
the decentralised approach which consists in solving local OCPs at each zone scale is the most used
approach nowadays. However, this approach neglects couplings between zones as thermal couplings (type
1) or energy sharing (type 2). The third approach is the decomposition-coordination one which consists in
solving local OCPs at each zone scale (decomposition stage) and reintegrate neglected couplings by an
iterative procedure (coordination stage). This paper deals with couplings of type 1. The decompositioncoordination method which appeared to be more appropriated was price decomposition-coordination
method. It was tested and compared to the optimal reference obtained with the centralised approach in a
two-zone building with residential and tertiary zones. The centralised and the decomposition-coordination
methods results are close. Both methods leaded to more than 20 % of savings on the global energy bill. The
computational time was heavier with the decomposition-coordination method than with the centralised
methods. However, in future work concerning multi-zone building, decomposition-coordination method is
expected to be more beneficial.