An electric power supplying apparatus comprising: an electric storage device (6, 103); and a control portion configured to control processing: to mix an output from said electric storage device, and an electric power of an external electric power system with each other in accordance with a peak shift command, a total consumed electric power, and a remaining capacity of said electric storage device, wherein an alternating current electric power is formed in the mixing processing; and wherein a first threshold value and a second threshold value which is larger than the first threshold value are set for the remaining capacity of said electric storage device; and when the remaining capacity is larger than the first threshold value, the electric power system is operated in a peak shift mode based on the peak shift command, and in the peak shift mode, a threshold value is set for a total consumed electric power, and when the total consumed electric power is smaller than the threshold value, the alternating current electric power is formed by said external electric power system and said electric storage device is charged by said external electric power system, while when the total consumed electric power is larger than the threshold value, the alternating current electric power is formed by a mixture output of the electric power of said external electric power system, and the output electric power from said electric storage device; and when the remaining capacity is smaller than the first threshold value and the control portion receives the peak shift command, the alternating current electric power is formed by the external electric power system, and when the remaining capacity is smaller than the first threshold value and the control portion does not receive the peak shift command, the alternating current electric power is formed by said external electric power system and said electric storage device is charged by said external electric power system; and when the remaining capacity is larger than the first threshold value and the control portion does not receive the peak shift command, if the control portion receives a discharging command or if the remaining capacity is larger than the second threshold value, the alternating current electric power is formed by a mixture output of the electric power of said external electric power system, and the output electric power from said electric storage device; and when the remaining capacity is larger than the first threshold value and the control portion does not receive the peak shift command, if the control portion does not receive a discharging command and the remaining capacity is smaller than the second threshold value, the alternating current electric power is formed by said external electric power system and said electric storage device is charged by said external electric power system. an electric storage device (6, 103); and a control portion configured to control processing: to mix an output from said electric storage device, and an electric power of an external electric power system with each other in accordance with a peak shift command, a total consumed electric power, and a remaining capacity of said electric storage device, wherein an alternating current electric power is formed in the mixing processing; and wherein a first threshold value and a second threshold value which is larger than the first threshold value are set for the remaining capacity of said electric storage device; and when the remaining capacity is larger than the first threshold value, the electric power system is operated in a peak shift mode based on the peak shift command, and in the peak shift mode, a threshold value is set for a total consumed electric power, and when the total consumed electric power is smaller than the threshold value, the alternating current electric power is formed by said external electric power system and said electric storage device is charged by said external electric power system, while when the total consumed electric power is larger than the threshold value, the alternating current electric power is formed by a mixture output of the electric power of said external electric power system, and the output electric power from said electric storage device; and when the remaining capacity is smaller than the first threshold value and the control portion receives the peak shift command, the alternating current electric power is formed by the external electric power system, and when the remaining capacity is smaller than the first threshold value and the control portion does not receive the peak shift command, the alternating current electric power is formed by said external electric power system and said electric storage device is charged by said external electric power system; and when the remaining capacity is larger than the first threshold value and the control portion does not receive the peak shift command, if the control portion receives a discharging command or if the remaining capacity is larger than the second threshold value, the alternating current electric power is formed by a mixture output of the electric power of said external electric power system, and the output electric power from said electric storage device; and when the remaining capacity is larger than the first threshold value and the control portion does not receive the peak shift command, if the control portion does not receive a discharging command and the remaining capacity is smaller than the second threshold value, the alternating current electric power is formed by said external electric power system and said electric storage device is charged by said external electric power system.