Air Gap S - MapleSim Help

Air Gap S

Air gap in stator-fixed coordinate system

 Description The Air Gap S component models an air gap in a stator-fixed coordinate system.
 Equations ${i}_{\mathrm{ms}}={i}_{\mathrm{ss}}+{i}_{\mathrm{rs}}$ ${i}_{\mathrm{rr}}={i}_{{\mathrm{SP}}_{r}}$ ${i}_{\mathrm{rs}}=M{i}_{\mathrm{rr}}$ ${i}_{\mathrm{ss}}={i}_{{\mathrm{SP}}_{s}}=M{i}_{\mathrm{sr}}$ ${\mathrm{\psi }}_{\mathrm{mr}}={M}^{T}{\mathrm{\psi }}_{\mathrm{ms}}$ ${\mathrm{\psi }}_{\mathrm{ms}}=L{i}_{\mathrm{ms}}$ ${v}_{{\mathrm{SP}}_{r}}={\stackrel{.}{\mathrm{\psi }}}_{\mathrm{mr}}$ ${v}_{{\mathrm{SP}}_{s}}={\stackrel{.}{\mathrm{\psi }}}_{\mathrm{ms}}$ $M=\left(\begin{array}{cc}\mathrm{cos}\left(\mathrm{\gamma }\right)& -\mathrm{sin}\left(\mathrm{\gamma }\right)\\ \mathrm{sin}\left(\mathrm{\gamma }\right)& \mathrm{cos}\left(\mathrm{\gamma }\right)\end{array}\right)$ $\mathrm{\gamma }=p\left({\mathrm{\phi }}_{\mathrm{flange}}-{\mathrm{\phi }}_{\mathrm{support}}\right)$ ${\mathrm{\tau }}_{\mathrm{elec}}=-{\mathrm{\tau }}_{\mathrm{flange}}={\mathrm{\tau }}_{\mathrm{support}}=\frac{1}{2}mp\left({\mathrm{\psi }}_{{\mathrm{ms}}_{1}}{i}_{{\mathrm{SP}}_{{s}_{2}}}-{\mathrm{\psi }}_{{\mathrm{ms}}_{2}}{i}_{{\mathrm{SP}}_{{s}_{1}}}\right)$

Variables

 Name Units Description Modelica ID $\mathrm{tauElectrical}$ $Nm$ tauElectrical $\mathrm{\gamma }$ $\mathrm{rad}$ Rotor displacement angle gamma ${i}_{\mathrm{ss}}$ $A$ Stator current space phasor with respect to the stator fixed frame i_ss ${i}_{\mathrm{sr}}$ $A$ Stator current space phasor with respect to the rotor fixed frame i_sr ${i}_{\mathrm{rs}}$ $A$ Rotor current space phasor with respect to the stator fixed frame i_rs ${i}_{\mathrm{rr}}$ $A$ Rotor current space phasor with respect to the rotor fixed frame i_rr ${\mathrm{\psi }}_{\mathrm{ms}}$ $\mathrm{Wb}$ Magnetizing flux phasor with respect to the stator fixed frame psi_ms ${\mathrm{\psi }}_{\mathrm{mr}}$ $\mathrm{Wb}$ Magnetizing flux phasor with respect to the rotor fixed frame psi_mr $M$ $1$ Matrix of rotation from rotor to stator RotationMatrix ${i}_{\mathrm{ms}}$ $A$ Magnetizing current space phasor with respect to the stator fixed frame i_ms

Connections

 Name Description Modelica ID $\mathrm{flange}$ Rotational flange flange $\mathrm{support}$ Support at which the reaction torque is acting support ${\mathrm{SP}}_{s}$ Stator space phasor spacePhasor_s ${\mathrm{SP}}_{r}$ Rotor space phasor spacePhasor_r

Parameters

 Name Default Units Description Modelica ID ${L}_{m}$ $H$ Main field inductance Lm $m$ $3$ $1$ Number of phases m $p$ $1$ Number of pole pairs p

 Modelica Standard Library 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.