Power Electronics and Motor Drive Systems

Depending on the reference frame there are the following vector dynamic electrical equivalent models of an induction motor:

The three-phase stator and rotor equations can be presented in the stationary reference frame a_s-b_s-c_s as follows:

$\vec{v_{s}^{s}} = R_{s} \vec{i_{s}^{s}} + \frac{d {\vec{ψ}}_{s}^{s}}{dt}$

(12.86)

$\vec{v_{r}^{s}} = R_{r} \vec{i_{r}^{s}} + \frac{d {\vec{ψ}}_{r}^{s}}{dt} - j ω_{r} {\vec{ψ}}_{r}^{s}$

(12.87)

where

\vec{v_{s}^{s}} = stator voltage in the stationary reference frame

\vec{v_{r}^{s}} = rotor voltage in the stationary

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Power Electronics and Motor Drive Systems by Stefanos Manias