Synchronous Reluctance Motor

Schematic

../../../_images/ESBdqSynRM.svg

Electrical ODE

\[\begin{split}\frac{\mathrm{d} i_\mathrm{sd}}{\mathrm{d} t}&=\frac{u_\mathrm{sd} + p \omega_\mathrm{me} L_\mathrm{q} i_\mathrm{sq} - R_\mathrm{s} i_\mathrm{sd}}{L_\mathrm{d}} \\ \frac{\mathrm{d} i_\mathrm{sq}}{\mathrm{d} t}&=\frac{u_\mathrm{sq} - p \omega_\mathrm{me} L_\mathrm{d} i_\mathrm{sd} - R_\mathrm{s} i_\mathrm{sq}}{L_\mathrm{q}} \\ \frac{\mathrm{d} \varepsilon_\mathrm{el}}{\mathrm{d} t}&= p \omega_\mathrm{me}\end{split}\]

Torque Equation

\[T = \frac{3}{2} p (L_\mathrm{d} - L_\mathrm{q}) i_\mathrm{sd} i_\mathrm{sq}\]

Code Documentation