A partial inverse design is introduced to derive a mutually coupled two-phase reluctance machine concept. The inverse design part begins with the torque as a function of inductance and current. For given torque characteristics the required inductance characteristics are calculated and including a magnetic circuit yields required reluctance or permeance characteristics for the air gaps. Such inverse design focuses on possibilities of reluctance machines in general, independent of any machine geometry. The derived two-phase motor concept uses self and mutual inductance independently to obtain up to four shifted harmonic torque characteristics. This allows to generate a bidirectional torque at every rotor position. Thus, there is no self-start problem and reduced torque ripple. The theoretical operation is shown with a linear magnetic circuit model and non-linear FEM calculations for a 2D and a 3D machine design.
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