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Hi,

I have attached two circuits of an induction motor, one for steady state(1st circuit) and a dynamic model(2nd circuit).

My question is: Why don't we include the induced emf in the steady state circuit? Looking at the dynamic circuit we include it, but not in the steady state circuit. Is the induced emf somehow included in the following term [itex] R_{r}^{'} \cdot \frac{\omega_{syn}}{\omega_{slip}}[/itex] or is this somehow equal to [itex] R_{r} + j \omega_{r} \Psi_{r}^{s} [/itex] in steady state?

If any additional information is required please let me know, and I will supply it as soon as possible.

One more question came to mind, in this term: [itex]j \omega_{r} \Psi_{r}^{s} [/itex] why do we use [itex]\omega_{rotor}[/itex] instead of [itex]\omega_{slip} [/itex]?

Since the induced emf and flux have the following relation [itex]\varepsilon = -\frac{d \lambda}{dt}[/itex] To my understanding I believe we should use the [itex]\omega_{slip} [/itex], because that is the relative motion of the rotor seen from the stator which magnetic flux [itex]\Phi[/itex] is rotating at frequency [itex]\omega_{syn} [/itex].

Best Regards

I have attached two circuits of an induction motor, one for steady state(1st circuit) and a dynamic model(2nd circuit).

My question is: Why don't we include the induced emf in the steady state circuit? Looking at the dynamic circuit we include it, but not in the steady state circuit. Is the induced emf somehow included in the following term [itex] R_{r}^{'} \cdot \frac{\omega_{syn}}{\omega_{slip}}[/itex] or is this somehow equal to [itex] R_{r} + j \omega_{r} \Psi_{r}^{s} [/itex] in steady state?

*Please note that the superscripts [itex]'[/itex] and [itex]^s[/itex] means refereed to stator side.*If any additional information is required please let me know, and I will supply it as soon as possible.

**EDIT1:**One more question came to mind, in this term: [itex]j \omega_{r} \Psi_{r}^{s} [/itex] why do we use [itex]\omega_{rotor}[/itex] instead of [itex]\omega_{slip} [/itex]?

Since the induced emf and flux have the following relation [itex]\varepsilon = -\frac{d \lambda}{dt}[/itex] To my understanding I believe we should use the [itex]\omega_{slip} [/itex], because that is the relative motion of the rotor seen from the stator which magnetic flux [itex]\Phi[/itex] is rotating at frequency [itex]\omega_{syn} [/itex].

**Steady State Circuit:****Dynamic Circuit:**

Best Regards

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