Row-wise standardized daily load profiles lie on a mathematical sphere, PCA projects them onto an arc, and a principal curve plus a von Mises-Fisher distribution provides ordering and generative sampling.
A review of electric load classifi- cation in smart grid environment,
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Lower Dimensional Spherical Representation of Medium Voltage Load Profiles for Visualization, Outlier Detection, and Generative Modelling
Row-wise standardized daily load profiles lie on a mathematical sphere, PCA projects them onto an arc, and a principal curve plus a von Mises-Fisher distribution provides ordering and generative sampling.