A Model Predictive Control based Peak Shaving Application for a Grid Connected Household with Photovoltaic and Battery Storage Topics: Algorithms for Reduced Power, Energy and Heat; Energy Management Systems (EMS); Mechanisms for Motivating Behaviour Change; Smart Energy Storage In Proceedings of the 7th International Conference on Smart Cities and Green ICT Systems SMARTGREENS - Volume 1, 54-63, 2018 , Funchal, Madeira, Portugal