Optimal control of electricity generation from μ-CHPs in a network

We have designed a model that describes the balance of
electricity production and consumption in a multi-producer
multi-consumer Smart Grid. A perfect balance between production
and consumption is taken to be the control goal. One
strategy to achieve balance in the network is to match production
and consumption only inside each house. However,
if neighbors cooperate and share some information with
each other, the balancing could be done more efficiently.
Due to the many constraints on the µ-CHP, which produce
at the same time heat and electricity, we will use Model Predictive
Control (MPC) to solve the optimal control problem.
We solve a central optimal control problem in a completely
distributed way using a distributed MPC approach based on
dual decomposition as described in [1]. Each house has a
unique demand pattern based on realistic patterns generated
by ECN pattern generator.