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Reference.org
Alpha–beta transformation
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<p>In <a href="/facts/Electrical_engineering/YYXW1KLW">electrical engineering</a>, the alpha-beta ( α β γ {\displaystyle \alpha \beta \gamma } ) transformation (also known as the Clarke transformation) is a mathematical <a href="/facts/Transform_(mathematics)/Yr2J3o8H">transformation</a> employed to simplify the analysis of <a href="/facts/Three-phase_electric_power/YXY3bQCx">three-phase circuits</a>. Conceptually it is similar to the <a href="/facts/Dq0_transformation/Ny65AxwY">dq0 transformation</a>. One very useful application of the α β γ {\displaystyle \alpha \beta \gamma } transformation is the generation of the reference signal used for space vector modulation control of three-phase <a href="/facts/Inverter_(electrical)/L8cJc3Hu">inverters</a>. </p>