An apparatus and method for managing reduced pressure at a tissue site are disclosed. The apparatus comprises a pump for supplying reduced pressure to the tissue site, a motor coupled to the pump to propel the pump, and a drive system electrically coupled to the motor that includes a power source that provides a source of direct current power to the motor during an operational period at a substantially constant current and of sufficient magnitude to supply a targeted reduced pressure during the operational period. The drive system also includes a controller that monitors the pump's loading on the motor by measuring the voltage across the motor to determine whether the motor voltage remains within a predetermined operational range of voltages necessary for maintaining the reduced pressure supplied by the pump proximate to the targeted reduced pressure without directly measuring the reduced pressure using a pressure sensor.