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Is the abc_to_dq0 Transformation correctly defined in SimPowerSystems?

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Donal Murray
Donal Murray on 2 Oct 2012
Commented: Joel Van Sickel on 11 Dec 2020
In the abc_to_dq0 Transformation block, the direct axis value is obtained from a scaled combination of the sin values of the phase variable. And q from a scaled combination of cos values.
In other definitions (Wikipedia, Mohan), the d axis is obtained from a scaled combination of cosines and the q from a scaled combination of -sines. Also Park's definition uses this.
Is this Matlab definition a mistake, which references itself as the Park transformation, but it's not? Could someone please confirm this or show me where I could find more information on this if it is correct.
Thanks in advance.

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Answers (1)

Joel Van Sickel
Joel Van Sickel on 11 Dec 2020
It is correct, howerver, there are mutliple standards for reference frames which can cause confusion. (such as a 90 degree offset for some)

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Donal Murray
Donal Murray on 11 Dec 2020
Thank you, I discovered this myself too.
I haven't used Matlab in a few years now, I presume the used abc to dq0 transforms and back hasn't changed since 2012?
Joel Van Sickel
Joel Van Sickel on 11 Dec 2020
Actually, we've started giving options to change the assumptions to support different standards.
The current block allows it to be poewr invariant and choose the axis alignment: https://www.mathworks.com/help/physmod/sps/ref/parktransform.html
Previously, this has caused issues for a number of people since the assumptions were not clear or consistent in our products, so we are working to address that.

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