Permanent Magnet Synchronous Motors (in particular surface-mounted magnet type) can have two basic types of position encoder alignment or in other words back EMF can be sin or cosine functions of rotor position (based on the alignment type adopted by the manufacturer). Does the type of alignment has any impact on the machine model in different frames of coordinate (e.g. alpha-beta or d-q frames)
Also, different assumptions can be made about the relative positions of the the three phase winding axes with respect to alpha-beta axes and d-q axis. Do these assumptions affect the final model ?
Is there a reference which covers some of these possible assumptions?
Dear Osama Arafa
Thank you so much for the message. Please check the following address:
http://www.mathworks.com/help/physmod/sps/powersys/ref/permanentmagnetsynchronousmachine.html
Best,
Vahid
Dear Vahid Ghorbanian,
Thank you for your guidance, in fact I have made some effort in this respect and I have already covered the model derivation from first principles (alpha-beta model and d-q model) for some possibilities (actually 3 possibilities) not all the possibilities. I have reached a conclusion that alpha-beta model will be affected by the assumptions, while we will reach them same d-q model no matter which axes assumptions or encoder alignment we started with. This is presented in details in the attached file. To generalize this conclusion, it is needed to derive the model for all other possibilities (e.g. case 1 but with d-axis leading q-axis)
if you can drive through the other possibilities and cover them in a similar manner to make the conclusion inclusive then we can publish a joint article on that point..have a look on the attached file and let me know your opinion
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