Stochastic modelled grid outage effect on home Energy Management

Abstract

This paper focuses on improving the notion of resilience in existing controllers based on Model Predictive Control. The controller resulting that we have called resilient open-loop feedback controller takes into consideration a stochastic model of a default. The problem solved by the new controller is a deterministic approximate equivalent of the stochastic initial problem obtained throughout simple transformations. Compared to the state of the art controller, an important reduction of the number of variables needed to solve the problem is also observed. Two stochastic grid outages models are considered in order to test the performances of the controller.