Recently, fossil fuels have caused environmental problems and economic problems. The renewable energy sources with energy storage devices are widly used to solve these problems. To manage the renewable energy generation efficiently, they are installed under the microgrid concept. In this paper, a AC-DC hybrid microgrid, which complements disadvantages of the AC microgrid and the DC microgrid, is used as a model to propose an efficient and stable operation method of the distributed power system. Based on the output of the Photovoltaic and the load power to be supplied, it has been established the operating method of the microgrid. According to the circumstance, it is possible to control the charging/discharging of the energy storage device so as to supply stable power to the load. In addition, a diesel generator is added to enable the emergency power supply. The energy storage device consists of a combination of lithium ion batteries and a supercapacitors. This is because the frequent charging/discharging of batteries is compensated by using supercapacitors, so that the stress of batteries can be reduced and the lifetime of batteries can be improved. And also, it is possible to take the fast response of the energy storage device due to the fast transient characteristics of supercapacitors,. In this paper, a low-pass filter is installed to control the energy storage device to determine the output of batteries and supercapacitors. In addition, an insufficient amount of electric power must be supplied by the energy storage devices until the diesel generator that supplies the power in the event of emergency supplies a normal output. In order to supply the stable power to the load from the output of the energy storage device, the diesel generator is operated so as to operate at a value higher than the SOC value at the output limit of the battery.