A Lundell motor apparatus controls a field current passed to a rotor field coil and an armature stator coil current 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 d-axis current Id is passed to the stator coil within a phase angle range where the combined torque ΣT becomes larger than the field torque Tf to generate reluctance torque Tr which is equal to (Ld−Lq)Id·Iq in addition to the field torque Tf.