Analytical Solutions of Air - conditioning Load Flexibility

This letter presents analytical solutions for fast quantification of load flexibility of building air-conditioning systems, considering the second-order building dynamics. Two equations are derived to quantify the load reduction and subsequent load rebound of individual buildings, respectively, as functions of regulation durations and indoor air temperature offset. An equation is derived to explicitly represent the coupling between the aggregated load reduction and rebound of buildings, facilitating the incorporation of load flexibility into power system scheduling. Numerical simulations verify the superior accuracy and computational efficiency of the analytical solutions.