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arXiv · 2607.00419

Sinusoidality Index

J. Gutiérrez Florensa·L. Sigrist·Á. Ortega·F. Milano
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Abstract

Maintaining sinusoidal or near-sinusoidal operating conditions in electrical systems is essential, as is their accurate assessment. This letter proposes a novel metric, namely the sinusoidality index, which quantifies the instantaneous deviation of the trajectory of an ac voltage vector with respect to a circle under any periodic operating conditions. This metric differs from conventional Fourier-based estimations by accounting for the trajectory of the waveform rather than its spectral decomposition. A variety of examples illustrates the properties of the proposed metric and highlights insights that may not be captured by conventional approaches.

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J. Gutiérrez Florensa, L. Sigrist, Á. Ortega, F. Milano. 2026-07-01. Sinusoidality Index. https://doi.org/10.1109/tpwrd.2026.3709621

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