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

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aSpinningCoin
aSpinningCoin 2022-11-1
评论： Joel Van Sickel 2022-11-10
according to equation: Te= 3/2*p*(λpm*iq+(Ld− Lq)*id*iq)
Im_ref should not equal to 2⋅T ref /3⋅p⋅λ pm for interior PMSM, right? Thanks!
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Rik
Rik 2022-11-1
This is too deep for me. If it is incorrect, you should contact support to have that verified and corrected.
If it is correct but you simply do not understand, I suspect your question is better suited elsewhere.

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Joel Van Sickel
Joel Van Sickel 2022-11-1
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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aSpinningCoin
aSpinningCoin 2022-11-3
Hi Joel Van Sickel,
Thanks for your reply.
So, if Id is Not 0 (say, in MTPA control), then Te doesn't equal 3/2*p*λpm*iq, right?
if above is right, then Im would not equal 2⋅Te /(3⋅p⋅λ pm), right?
Thanks again.
Joel Van Sickel
Joel Van Sickel 2022-11-10
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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