In an example embodiment, this pump system is provided with: a pump (10) for drawing a liquid at a first level up to a second level higher than the first level; a motor (20) for causing the pump to operate; a motor driving device (30) for supplying power to the motor; a measurement circuit (40) for monitoring the power; a storage device (60) having, stored therein, first data defining the relationship of the head, which is defined as the difference between the first level and the second level, with the number of rotations of the motor per unit of time and the power and second data defining the relationship of the pump discharge amount per prescribed period of time with the head and the power; and a control device (70). The control device determines an estimated value for the head from the first data on the basis of a measured or estimated value for the rotation speed and the monitored power value, determines an estimated value for the discharge amount from the second data on the basis of the estimated value for the head and the monitored power value, and outputs the estimated value for the discharge amount.
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