A Geometrical Interpretation of Frequency

A Geometrical Interpretation of Frequency

The letter provides a geometrical interpretation of frequency in electric circuits. According to this interpretation, the frequency is defined as a multivector with symmetric and antisymmetric components. The conventional definition of frequency is shown to be a special case of the proposed theoreti...

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Veröffentlicht in:IEEE transactions on power systems 2022-01, Vol.37 (1), p.816-819
1. Verfasser: Milano, Federico
Format: Artikel
Sprache:eng
Schlagworte:
Circuits
Curvature
differential geometry
Estimation
frequency
Frequency estimation
geometrical product
inner product
Particle measurements
Phase measurement
Tensors
Time-frequency analysis
Transient analysis
wedge product
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Beschreibung
Zusammenfassung:The letter provides a geometrical interpretation of frequency in electric circuits. According to this interpretation, the frequency is defined as a multivector with symmetric and antisymmetric components. The conventional definition of frequency is shown to be a special case of the proposed theoretical framework. Several examples serve to show the features, generality as well as practical aspects of the proposed approach.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2021.3108915