Space Vectors And Clarke-Park Transformations

Introduction
Extended version of: https://www.geogebra.org/m/j3gc6k8n.[br]This version includes visualisations of Clarke and Park transformations.[br][br]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).[br][br]See also figure below animation.
Important Figure:
[math]\alpha\beta0-axes[/math], [math]dq0-axes[/math] and the angle [math]\varepsilon[/math].
Credits
Animation: Timon De Wispelaere.[br]Inspiration: [br]- C. J. O’Rourke, M. M. Qasim, M. R. Overlin, and J. L. Kirtley, “A Geometric Interpretation [br]of Reference Frames and Transformations: Dq0, Clarke, and Park,” IEEE Trans. Energy [br]Convers., vol. 34, no. 4, pp. 2070–2083, Dec. 2019, doi: 10.1109/TEC.2019.2941175.[br]- R. Teodorescu, M. Liserre, and P. Rodriguez, Grid Converters for Photovoltaic and Wind [br]Power Systems. 2011.[br]- S. Buso and P. Mattavelli, Digital control in power converters, 1st ed. Morgan & [br]Claypool, 2006.
– Timon De Wispelaere

Information: Space Vectors And Clarke-Park Transformations