Modelling of the processes in electrical systems by two-point problem for nonhomogeneous telegraph equation

Modelowanie procesów w systemach elektrycznych za pomocą problemu dwupunktowego dla niejednorodnego równania
Wojcik W. Nytrebych Z. Malanchuk O. Vistak M. Kravchenko L. Pinaev B. Rakhmetullina S. Toigozhinova A.
2021 Wydawnictwo SIGMA-NOT

Przeglad Elektrotechniczny
2021 #2021 Issue 9 54 - 57 pp.

The two-point problem for the nonhomogeneous telegraph equation is a mathematical model to describe propagation of electromagnetic wavesunder the action of external force at given behavior of the process at two time moments. The differential-symbol method of constructing an exact analytical solution of the problem is proposed. The class of quasipolynomials as a class of existence and uniqueness of the solution of the problem is indicated. The examples to research propagation of waves with two given states are proposed. The presented results can be effectively used in the design and studying of parameters of the electrical engineering systems.

Differential-symbol method , Electrical system , Electromagnetic waves , Two-point problem

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Lublin University of Technology, Lublin, Poland
Lviv Polytechnic National University, Lviv, Ukraine
Danylo Halytsky Lviv National Medical University, Lviv, Ukraine
Poltava V.G. Korolenko National Pedagogical University, Ukraine
Vinnytsia National Technical Univerty, Ukraine
East Kazakhstan State Technical University named after D.Serikbayev, Ust-Kamenogorsk, Kazakhstan
Academy of Logistics and Transport, Kazakhstan

Lublin University of Technology
Lviv Polytechnic National University
Danylo Halytsky Lviv National Medical University
Poltava V.G. Korolenko National Pedagogical University
Vinnytsia National Technical Univerty
East Kazakhstan State Technical University named after D.Serikbayev
Academy of Logistics and Transport

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