A motorized window treatment may be configured to adjust a position of a covering material to control the amount of daylight entering a space. The motorized window treatment may include a DC power source for charging an energy storage element, such as a supercapacitor and/or rechargeable battery. The energy storage element may be configured to provide power for the operation of a motor used to adjust the position of the covering material. The energy storage element may discharge when providing power to the motor and may charge such that the current it draws from a battery is at a desired average current level that extends the lifetime of the battery.