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Active Power Line Conditioners by Jaime Prieto Thomas, Salvador Pérez Litrán, Patricio Salmeron Revuelta

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3.4. Other Approaches: Synchronous Frames

Previous sections have presented two formulations of the instantaneous reactive power developed coordinate axes considered a “fixed”, that is, nonrotating. Specifically, we used the 0, α, β, coordinates or the 1, 2, 3 phase coordinates. In this section other formulations of the instantaneous reactive power in rotating coordinate systems, either in solidarity with the vector of voltage, or at no. This requires performing the appropriate coordinate transformation [2629].
Mathematical transformations to perform coordinate changes are often used in the field of electric power systems. In general, when a coordinate transformation is achieved, all electrical variables refer to a common frame of reference, ...

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