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

Identyfikatory

DOI

10.15199/48.2021.09.12

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

EN

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

PL

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

• Wydawca: Wydawnictwo SIGMA-NOT
• 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

• https://orcid.org/0000-0002-0843-8053

autor

Nytrebych Zinovii

• Lviv Polytechnic National University, Lviv, Ukraine

• https://orcid.org/0000-0002-9599-8517

autor

Malanchuk Oksana

• Danylo Halytsky Lviv National Medical University, Lviv, Ukraine

• https://orcid.org/0000-0001-7518-7824

autor

Vistak Maria

• Danylo Halytsky Lviv National Medical University, Lviv, Ukraine

• https://orcid.org/0000-0001-5192-4017

autor

Kravchenko Liubov М

• Poltava V.G. Korolenko National Pedagogical University

• https://orcid.org/0000-0001-9065-8524

autor

Pinaev Bogdan

• Vinnytsia National Technical Univerty, Ukraine

• https://orcid.org/0000-0001-9592-0640

autor

Rakhmetullina Saule

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

• https://orcid.org/0000-0002-3142-0249

autor

Toigozhinova Ainur

• Academy of Logistics and Transport, Kazakhstan

• https://orcid.org/0000-0002-0305-2776

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).