Solar photovoltaic driven air conditioning (PVAC) system with electricity storage is proposed as a good solution to help shifting peak load and consuming solar energy. In this paper, a grid-connected PVAC system using the TRNSYS simulation model consisting of PV panels, traditional air conditioners (TAC), power conditioning units, inverters, and grid connection equipment is proposed to investigate the economic feasibility compared with the traditional air conditioner. In the PVAC system, the electricity, firstly generated by PV panels and then stored in battery, is consumed by a DC inverter air conditioner to maintain the temperature of the room and the surplus electricity is sold to the grid. A life cycle cost comparison between PVAC system, traditional air conditioning system, and decomposed PV and air conditioning systems of three typical application cases is conducted, in which the operation conditions are based on the present circumstances of China. The results show that, in comparison with conventional air conditioners, better economic benefits can be achieved when the peak load of the air conditioning system is over a certain value. Sensitivity analysis is conducted to evaluate the effects caused by variation of economic assumptions. At last, a new operation model is proposed to achieve more benefits for the system.