Space Vectors And Clarke-Park Transformations
Introduction
Extended version of: https://www.geogebra.org/m/j3gc6k8n.
This version includes visualisations of Clarke and Park transformations.
The Clarke transformation (is a special case of the Park transformation) can be obtained by setting n_epsilon=0 and theta_epsilon=90° (so that epsilon = 90° all the time).
See also figure below animation.
Important Figure:
Credits
Animation: Timon De Wispelaere.
Inspiration:
- C. J. O’Rourke, M. M. Qasim, M. R. Overlin, and J. L. Kirtley, “A Geometric Interpretation
of Reference Frames and Transformations: Dq0, Clarke, and Park,” IEEE Trans. Energy
Convers., vol. 34, no. 4, pp. 2070–2083, Dec. 2019, doi: 10.1109/TEC.2019.2941175.
- R. Teodorescu, M. Liserre, and P. Rodriguez, Grid Converters for Photovoltaic and Wind
Power Systems. 2011.
- S. Buso and P. Mattavelli, Digital control in power converters, 1st ed. Morgan &
Claypool, 2006.