The Fundamental Wave Rotor Saliency Air Gap (or Rotor Saliency Air Gap) component can be used for machines with uniform air gaps and for machines with rotor saliencies. The air gap model is not symmetrical between stator and rotor because it is assumed the saliency always refers to the rotor.

The saliency of the air gap is represented by a main field inductance in the d- and q-axis. For the mechanical interaction of the air gap model with the stator and the rotor it is equipped with two rotational connectors. The torques acting on the connectors are equal but opposite. The difference between the stator and the rotor angle, $\mathrm{\gamma }$, is required for the transformation of the magnetic stator quantities to the rotor side.

The air gap model has two magnetic stator ports and two magnetic rotor ports. The magnetic potential difference and the magnetic flux of the stator are transformed to the rotor fixed reference frame. The effective reluctances of the main field with respect to the d- and q-axis are considered in the balance equations.

$\mathrm{\gamma }\=p\left({\mathrm{\phi }}_a-{\mathrm{\phi }}_{\mathrm{supp}}\right)$

$\Gamma \=\exp \left(j\mathrm{\gamma }\right)$

${\stackrel{\^}{R}}_m\={\stackrel{\^}{R}}_{m_d}\+j{\stackrel{\^}{R}}_{m_q}\=\frac{1}{L_{0_d}}\+j\frac{1}{L_{0_q}}$

${\mathrm{\Phi }}_{\mathrm{sr}}\={\mathrm{\Phi }}_{\mathrm{rr}}\={\stackrel{\^}{\mathrm{\Phi }}}_{\mathrm{rp}}\=-{\stackrel{\^}{\mathrm{\Phi }}}_{\mathrm{rn}}\={\mathrm{\Phi }}_{\mathrm{ss}}\stackrel{\&conjugate0;}{\Gamma }$

${\stackrel{\^}{\mathrm{\Phi }}}_{\mathrm{ss}}\={\stackrel{\^}{\mathrm{\Phi }}}_{\mathrm{sp}}\=-{\stackrel{\^}{\mathrm{\Phi }}}_{\mathrm{sn}}$

${\stackrel{\^}{V}}_{m_{\mathrm{rr}}}\={\stackrel{\^}{V}}_{m_{\mathrm{rp}}}-{\stackrel{\^}{V}}_{m_{\mathrm{rn}}}$

${\stackrel{\^}{V}}_{m_{\mathrm{ss}}}\={\stackrel{\^}{V}}_{m_{\mathrm{sp}}}-{\stackrel{\^}{V}}_{m_{\mathrm{sn}}}$

${\stackrel{\^}{V}}_{m_{\mathrm{sr}}}\={\stackrel{\^}{V}}_{m_{\mathrm{ss}}}\stackrel{\&conjugate0;}{\Gamma }$

$\frac{\mathrm{\pi }}{2}\left({\stackrel{\^}{V}}_{m_{\mathrm{rr}}}\+{\stackrel{\^}{V}}_{m_{\mathrm{sr}}}\right)\=\Re \left({\stackrel{\^}{R}}_m\stackrel{\&conjugate0;}{{\stackrel{\^}{\mathrm{\Phi }}}_{\mathrm{rr}}}\right)$

$-{\mathrm{\tau }}_a\={\mathrm{\tau }}_{\mathrm{elec}}\={\mathrm{\tau }}_{\mathrm{supp}}\=\Im \left({\stackrel{\^}{V}}_{m_{\mathrm{ss}}}\stackrel{\&conjugate0;}{{\stackrel{\^}{\mathrm{\Phi }}}_{\mathrm{ss}}}\right)$

The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.