DETERMINATION OF THE CONDITIONS FOR THE EXISTENCE OF HIGHER-ORDER DIFFERENTIAL ELECTROMAGNETIC INVARIANTS

Authors

  • Valentina Zagirnyak Kremenchuk Mykhailo Ostrohradskyi National University, Manufacturing Engineering Department
  • Boris Nevzlin Kremenchuk Mykhailo Ostrohradskyi National University, Electric machines and Apparatus Department
  • Veronika Zahorulko Kremenchuk Mykhailo Ostrohradskyi National University Electric machines and Apparatus Department

DOI:

https://doi.org/10.18690/jet.8.2.11-16.2015

Keywords:

four-element dipole, electromagnetic invariants, differential transformations, conditions for the existence of higher-order invariants

Abstract

A four-element dipole representation by first-order electromagnetic invariants according to differential transformation and increments is well known. The paper deals with a most general description of the conditions of existence of an electromagnetic invariant for a four-element dipole with active-reactive components in a differential form and as increments of any order. It is shown analytically that invariants exist at mutual transformations of increments into differentials and differentials into increments.

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References

B. I. Nevzlin: Identification and application of an electromagnetic invariant of a mathematical model of the controlled environment with active‐reactive components, Herald of East‐Ukrainian State. Univ., Iss. 2, p.p. 155–161, 1997

B. I. Nevzlin: About extension of the scope of existence of an electromagnetic invariant, Herald of East‐Ukrainian State. Univ., Iss. 4., p.p. 12–14, 1997

Mathematical encyclopedia. – M. : Sov. Encyclopedia, Vol. 3, p.p. 563–564, 1982

Mathematical encyclopedia. – M. : Sov. Encyclopedia, Vol. 2, p.p. 1026, 1979

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Published

22.05.2024

How to Cite

Zagirnyak, V. ., Nevzlin, B. ., & Zahorulko, . V. . (2024). DETERMINATION OF THE CONDITIONS FOR THE EXISTENCE OF HIGHER-ORDER DIFFERENTIAL ELECTROMAGNETIC INVARIANTS. Journal of Energy Technology, 8(2), 11-16. https://doi.org/10.18690/jet.8.2.11-16.2015