Online Optimization of Heat Pump Systems for Building Heating based on Lyapunov Method

Improving the energy efficiency of heating systems is of great significance in building energy saving. This paper investigates a time-average total cost minimization problem of heat pump systems. Firstly, heat pump systems and thermal dynamic building model are built considering thermal inertia. To solve temporally coupled constraints and uncertainties of the outdoor temperature and real-time electricity price in the formulated problem, the paper proposes an online optimization algorithm for building heating based on Lyapunov method. Extensive simulation results show that this method could achieve user comfort and reduce energy cost effectively.