A hybrid-electric vehicle including a matched reactance machine power generation system (MRMPGS). The MRMPGS comprises a permanent magnet rotor type machine having a selected back electromotive force (BEMF) voltage value and a selected machine inductance value. The BEMF voltage value is selected having a line-to-line peak voltage that is equal to a desired terminal voltage of the machine at a first machine speed. The machine inductance value is selected based upon a machine reactance value and a frequency value, which correspond to a proportional increase in the selected BEMF voltage value between the first machine speed and a second machine speed.