In electrical engineering, the alpha-beta ($${\displaystyle \alpha \beta \gamma }$$) transformation (also known as the Clarke transformation) is a mathematical transformation employed to simplify the analysis of three-phase circuits. Conceptually it is similar to the dq0 transformation. One very useful application. .
In 1937 and 1938, published papers with modified methods of calculations on unbalanced three-phase problems, that turned out to be particularly useful. .
The $${\displaystyle \alpha \beta \gamma }$$ transformation can be thought of as the projection of the three phase quantities (voltages or currents). .
The $${\displaystyle \alpha \beta \gamma }$$ transform applied to three-phase currents, as used by Edith Clarke, iswhere $${\displaystyle i_{abc}(t)}$$ is a generic three-phase. In electrical engineering, the alpha-beta ( ) transformation (also known as the Clarke transformation) is a mathematical transformation employed to simplify the analysis of three-phase circuits. Conceptually it is similar to the dq0 transformation. [pdf]
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