Affinely adjustable robust energy management system for smart homes.

As plentiful roof‐top photovoltaic (PV) panels and battery energy storage systems (BESSs) have been installed in residential houses, smart homes which provide reliable and cost‐efficient energy for customers have been increasingly developing. This study proposes a smart home coordinated operation framework consisting of day‐ahead scheduling of a BESS and deferrable appliances as well as real‐time BESS affinely adjustable control. The scheduling aims to minimise daily energy usage bills and the affinely adjustable control aims to eliminate fluctuations of intermittent PV output and at‐will uncertain appliances. This study proposes an affinely adjustable robust energy management system (AAREMS) which can optimise the day‐ahead scheduling with full consideration of the real‐time BESS control under uncertainties. Moreover, affinely adjustable robust counterpart formulation is developed to solve the AAREMS under the worst case of real‐time uncertainty realisation. The simulation results verify the high efficiency of the proposed AAREMS in minimising the energy usage bills for the customers and providing certain and invariable power injection for the utility grid. [ABSTRACT FROM AUTHOR]