The Lundell motor apparatus includes a controller for controlling a field current passed to a field coil of a Lundell-type rotor of a motor and an armature current passed to a stator coil of the motor in order to generate a required torque. When the field current is If, the armature current is Ia, a d-axis inductance is Ld, a q-axis inductance is Lq, a q-axis current as a q-axis component of the armature current is Iq, a d-axis current as a d-axis component of the armature current is Id, a field torque is Tf, a field flux is Φf, a reluctance torque is Tr, and a combined torque of the field torque and the reluctance torque is ΣT, the controller passes the d-axis current Id to the stator coil within a phase angle range in which the combined torque ΣT become larger than the field torque Tf in order to generate the reluctance torque Tr which is equal to (Ld−Lq)Id·Iq in addition to the field torque Tf.