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

• Autorzy: Wójcik, Waldemar , Nytrebych, Zinovii , Malanchuk, Oksana , Vistak, Maria , Kravchenko, Liubov М , Pinaev, Bogdan , Rakhmetullina, Saule , Toigozhinova, Ainur

Warianty tytułu

PL

Modelowanie procesów w systemach elektrycznych za pomocą problemu dwupunktowego dla niejednorodnego równania

• Języki publikacji: EN

Abstrakty

EN

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.

PL

Problem dwupunktowy dla niejednorodnego równania telegraficznego jest matematycznym modelem opisu propagacji fal elektromagnetycznych pod działaniem siły zewnętrznej przy danym zachowaniu się procesu w dwóch momentach czasowych. Zaproponowano metodę różniczkowo-symboliczną konstruowania dokładnego analitycznego rozwiązania tego problemu. Wskazano klasę quasi-wielomianów jako klasę istnienia i jednoznaczności rozwiązania problemu. Zaproponowano przykłady do badania propagacji fal o dwóch zadanych stanach. Przedstawione wyniki mogą być efektywnie wykorzystane w projektowaniu i badaniu parametrów systemów elektrotechnicznych.

Słowa kluczowe

PL

fala elektromagnetyczna; metoda różniczkowo-symboliczna; problem dwupunktowy; system elektryczny

EN

electromagnetic wave; differential-symbol method; two-point problem; electrical system

• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2021
• Tom: R. 97, nr 9
• Strony: 54--57
• Opis fizyczny: Bibliogr. 36 poz., rys.

Twórcy

autor

Wójcik, Waldemar

• Lublin University of Technology, Lublin, Poland,

autor

Nytrebych, Zinovii

• Lviv Polytechnic National University, Lviv, Ukraine,

autor

Malanchuk, Oksana

• Danylo Halytsky Lviv National Medical University, Lviv, Ukraine,

autor

Vistak, Maria

• Danylo Halytsky Lviv National Medical University, Lviv, Ukraine,

autor

Kravchenko, Liubov М

• Poltava V.G. Korolenko National Pedagogical University,

autor

Pinaev, Bogdan

• Vinnytsia National Technical Univerty, Ukraine,

autor

Rakhmetullina, Saule

• East Kazakhstan State Technical University named after D.Serikbayev, Ust-Kamenogorsk, Kazakhstan,

autor

Toigozhinova, Ainur

• Academy of Logistics and Transport, Kazakhstan,

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).

Identyfikatory

DOI

10.15199/48.2021.09.12