Clarke Transformation
Clarke Transformation
(OP)
Hi
I am reading into the Clarke transformation that is used to convert the 3 phase stator currents into a two dimensional orthogonal system for field oriented control of ac motors. The equations are shown below.
isα = ia
isβ = (1/√3)*ia + (2/√3)*ib
I cannot find any literature that shows how this transformation was derived.
Where
isβ isβ, = New transformed current vectors
ia = Stator current phase a
ib = Stator current phase b
Can anyone point me in the right direction (no pun intended)?
Thanks
I am reading into the Clarke transformation that is used to convert the 3 phase stator currents into a two dimensional orthogonal system for field oriented control of ac motors. The equations are shown below.
isα = ia
isβ = (1/√3)*ia + (2/√3)*ib
I cannot find any literature that shows how this transformation was derived.
Where
isβ isβ, = New transformed current vectors
ia = Stator current phase a
ib = Stator current phase b
Can anyone point me in the right direction (no pun intended)?
Thanks





RE: Clarke Transformation
xnuke
"Live and act within the limit of your knowledge and keep expanding it to the limit of your life." Ayn Rand, Atlas Shrugged.
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RE: Clarke Transformation
xnuke
"Live and act within the limit of your knowledge and keep expanding it to the limit of your life." Ayn Rand, Atlas Shrugged.
Please see FAQ731-376: Eng-Tips.com Forum Policies for tips on how to make the best use of Eng-Tips.
RE: Clarke Transformation
Krause's textbook has a good writeup on transformations in general - presenting a general transformation where Park, Clark and the rest are just special cases.
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(2B)+(2B)' ?
RE: Clarke Transformation