Why Im_ref = 2⋅T ref /3⋅p⋅λ pm for Interior PMSM? in MTPA Control Reference

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according to equation: Te= 3/2*p*(λpm*iq+(LdLq)*id*iq)
Im_ref should not equal to 2⋅T ref /3⋅p⋅λ pm for interior PMSM, right? Thanks!
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Answers (1)

Joel Van Sickel
Joel Van Sickel on 1 Nov 2022
The first equation your have underlined is the maximum current reference limit used for a specific type of control ( MTPA) while the other equation is the mathematical model of of a motor (albeit a simplified equation as this is for a lumped parameter motor model). These equations are not the same nor should they be, although the controller algorithm is derived from the mathematical model equation (elimnate the (Ld-Lq)*id*iq by setting id to zero and they are identical. Further work is required in the controller after calculating maximum current to calculate reference id and iq current values.
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Joel Van Sickel
Joel Van Sickel on 10 Nov 2022
you are correct, it would be slightly different, which is why the equation for the model is more specific to account for this case.

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