fwiw
http://forum.allaboutcircuits.com/showthread.php?p=244655#post244655
http://forum.allaboutcircuits.com/showthread.php?p=244655#post244655
In symmetrical 3-phase machines, the direct and quadrature axis stator currents isα and isβ are fictitious
quadrature-phase (2-phase) current components, which are related to the actual 3-phase stator currents as
follows:
isα = k (isa -1/2isb -1/2isc) EQ. 3-4
isβ =k(sqrt(3)/2)(isb -isc) EQ. 3-5
Where:
k = 2/3 is a transformation constant
to get the answer you need to multiply by 3/2 to cancel out the transformation constant
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