A Geometrical Interpretation of Frequency
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TLDR
In this paper , a geometrical interpretation of frequency in electric circuits is presented, where the frequency is defined as a multivector with symmetric and antisymmetric components.Abstract:
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. read more
Citations
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References
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Fundamentals of power systems modelling in the presence of converter-interfaced generation
Mario Paolone,Trevor Gaunt,Xavier Guillaud,Marco Liserre,Sakis Meliopoulos,Antonello Monti,Thierry Van Cutsem,Vijay Vittal,Costas Vournas +8 more
TL;DR: The concepts of narrow versus broad band signals are first recalled along with the limitation of the meaning of apparent power, power factor and reactive power, and the adequacy of the phasor representation of voltages and currents waveforms are discussed.
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Generalized theory of instantaneous reactive quantity for multiphase power system
TL;DR: In this article, a generalized definition of instantaneous reactive quantity in the multiphase system is proposed, and an attempt is made to seek its unity in value as well as in meaning between in sinusoidal and in nonsinusoidal situations.
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Mathematical foundations of the instantaneous power concepts: A geometrical approach
TL;DR: It is shown that the proposed formalism is well suited to deal with three-phase currents and voltages with zero-sequence components.
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On the meaning of the park power components in three‐phase systems under non‐sinusoidal conditions
TL;DR: In this article, the authors proposed a measurement equipment for the defined power components and showed the results of some experimental work on three-phase systems in terms of the Park transformation, and discussed the physical meaning of the power components defined employing it.
Proceedings ArticleDOI
Instantaneous power quantities in polyphase systems — a geometric algebra approach
TL;DR: A new framework for characterizing instantaneous non-active (reactive) power in general polyphase systems is proposed, based on the concept of multivectors, which are a higher-order generalization of vectors, and on the idea of the geometric product, which blends the inner (scalar) and the outer (wedge) products.