Electromagnetic-based derivation of fractional-order circuit theory - Publikacja - MOST Wiedzy

Wyszukiwarka

Electromagnetic-based derivation of fractional-order circuit theory

Abstrakt

In this paper, foundations of the fractional-order circuit theory are revisited. Although many papers have been devoted to fractional-order modelling of electrical circuits, there are relatively few foundations for such an approach. Therefore, we derive fractional-order lumped-element equations for capacitors, inductors and resistors, as well as Kirchhoff’s voltage and current laws using quasi-static approximations of fractional-order Maxwell’s equations. The proposed approach is not limited by the geometry of the considered lumped elements and employs the concepts of voltage and current known from the circuit theory. Finally, the proposed theory of circuit elements is applied to interpretation of Poynting’s theorem in fractional-order electromagnetism.

Cytowania

  • 1

    CrossRef

  • 0

    Web of Science

  • 1

    Scopus

Informacje szczegółowe

Kategoria:
Publikacja w czasopiśmie
Typ:
artykuł w czasopiśmie wyróżnionym w JCR
Opublikowano w:
Communications in Nonlinear Science and Numerical Simulation nr 79, strony 1 - 13,
ISSN: 1007-5704
Język:
angielski
Rok wydania:
2019
Opis bibliograficzny:
Stefański T., Gulgowski J.: Electromagnetic-based derivation of fractional-order circuit theory// Communications in Nonlinear Science and Numerical Simulation. -Vol. 79, (2019), s.1-13
DOI:
Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1016/j.cnsns.2019.104897
Weryfikacja:
Politechnika Gdańska

wyświetlono 14 razy

Publikacje, które mogą cię zainteresować

Meta Tagi