A study of issues in extreme cases in a numerical solver for nonlinear fractional circuits

• Autorzy: Sowa Marcin

Identyfikatory

DOI

10.15199/48.2023.08.38

Warianty tytułu

PL

Badanie problemów w skrajnych przypadkach solwera numerycznego dla nieliniowych obwodów ułamkowych

• Języki publikacji: EN

Abstrakty

EN

The study deals with the computations of nonlinear fractional circuit analyses in transient states. A numerical solver for FDAE (Fractional Differential-Algebraic Equations) is recalled, which bases on SubIval (acronym for “the subinterval-based method”). In the study, a nonlinear fractional problem was deliberately selected and tuned so as to cause issues occuring only in extreme cases, but motivating the further development of the numerical method. A development idea arises after observations of the error estimation, the influence of the time step adaptivity and the polynomial order.

PL

Praca dotyczy obliczen w analizach nieliniowych obwodów ułamkowych w stanach nieustalonych. Przywołano solwer numeryczny dla ułamkowych równan różniczkowo-algebraicznych, który opiera się na metodzie numerycznej SubIval (akronim od anglojęzycznej nazwy “the subinterval-based method”, czyli “metody podprzedziałów”). W badaniu celowo wybrano i dostrojono nieliniowe zagadnienie ułamkowe tak, aby wywołac komplikacje występujące jedynie w skrajnych przypadkach, ale motywujące do dalszego rozwoju wspomnianej metody numerycznej. Pomysł rozwoju metody pojawia sie po obserwacjach oszacowania błędu, wpływu automatycznego dostosowania kroku czasowego i rzędu wielomianów aproksymujących.

Słowa kluczowe

EN

numerical solver; fractional calculus; nonlinear problem; circuit analysis; polynomial order; time step adaptivity

PL

solwer numeryczny; rachunek różniczkowy ułamkowego rzędu; zagadnienie nieliniowe; analiza obwodu; rząd wielomianu; automatyczny dobór kroku czasowego

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2023
• Tom: R. 99, nr 8
• Strony: 212--218
• Opis fizyczny: Bibliogr. 31 poz., rys., tab.

Twórcy

autor

Sowa Marcin

• Department of Electrical Engineering and Computer Science, Faculty of Electrical Engineering, Silesian University of Technology, ul. Akademicka 2A, 44-100 Gliwice, Poland

Bibliografia

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