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

Valentina  Zagirnyak; Boris  Nevzlin; Veronika  Zahorulko

doi:10.18690/jet.8.2.11-16.2015

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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