A pump assembly (1) includes a pump unit (2) capable of providing a desired head (H0) at zero flow rate, a brushless speed-controlled permanent-magnet AC drive motor (205) for driving the pump unit (2), and a control unit for controlling the drive motor (205). The control unit includes a frequency converter configured to receive an input voltage (Uin). The drive motor (205) is operable in a field-weakening mode and non-field-weakening mode. The drive motor (205) is undersized for driving the pump unit (2) at a design input voltage (U0) to provide a lower head (H) than the desired head (H0) at zero flow rate in the non-field-weakening mode and for driving the pump unit (2) to provide the desired head (H0) at zero flow rate in the field-weakening mode.