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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-87e5fb85-704d-4e95-a31d-3e3f7224829a

Czasopismo

Archives of Electrical Engineering

Tytuł artykułu

RC-ladder networks with supercapacitors

Autorzy Mitkowski, W.  Bauer, W.  Zagórowska, M. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
Abstrakty
EN Nowadays, non-integer systems are a widely researched problem. One of the questions that is of great importance, is the use of mathematical theory of a non-integer order system to the description of supercapacitors (capacitors with very high capacitance). In the description of electronic systems built on a microscale, there are models with distributed parameters of fractional derivatives, which can be successfully approximated by finite-dimensional structures, e.g, in the form of various types of ladder systems (chain). In this paper, we will analyze a ladder system of an RC type consisting of supercapacitors.
Słowa kluczowe
EN supercapacitors   RC ladder network   non-integer order system  
Wydawca Polish Academy of Sciences, Electrical Engineering Committee
Czasopismo Archives of Electrical Engineering
Rocznik 2018
Tom Vol. 67, nr 2
Strony 377–--389
Opis fizyczny Bibliogr. 11 poz., rys., wz.
Twórcy
autor Mitkowski, W.
  • Department of Automatics and Robotic AGH University of Science and Technology al. Mickiewicza 30, 30-059 Kraków, mitkowsk@agh.edu.pl
autor Bauer, W.
  • Department of Automatics and Robotic AGH University of Science and Technology al. Mickiewicza 30, 30-059 Kraków, bauer@agh.edu.pl
autor Zagórowska, M.
  • Department of Automatics and Robotic AGH University of Science and Technology al. Mickiewicza 30, 30-059 Kraków
Bibliografia
1] Kaczorek T., Positive fractional linear systems, Pomiary Automatyka Robotyka, 2/2011, pp. 91–112 (2011).
[2] Kaczorek T., Selected Problems in Fractional Systems Theory, Springer-Verlag, Berlin (2011).
[3] Mitkowski W., Finite-dimensional approximations of distributed RC networks, Bulletin of The Polish Academy of Sciences Technical Sciences, vol. 62, no. 2, pp. 263–269 (2014).
[4] Mitkowski W., Skruch P., Fractional-order models of the supercapacitors in the form of RC ladder networks, Bulletin of The Polish Academy of Sciences Technical Sciences, vol. 61, no. 3, pp. 581–587 (2013).
[5] Weilbeer M., Efficient Numerical Methods for Fractional Differential Equations and their Analytical, Technischen Universität Braunschweig, Doktors Dissertation, pp. 1–224 (2005).
[6] Ilin W.P., Kuznyetsow Y.I., Tridiagonal matrices and their applications, Nauka, Moskwa (1985).
[7] MitkowskiW., Remarks on stability of positive linear systems, Control and Cybernetics, vol. 29, no. 1, pp. 295–304 (2000).
[8] Roszkiewicz J., Distributed RC systems, Wydawnictwa Komunikacji i Łączności, Warszawa (1972).
[9] Podlubny I., Fractional Differential Equations. An Introduction to Fractional Derivatives, Fractional Differential Equations, Some Methods of Their Solution and Some of Their Applications, Academic Press, San Diego-Boston-New York-London-Tokyo-Toronto, pp. 1–368 (1999).
[10] Caputo M., Linear model of dissipation whose Q is almost frequency independent-II, Geophys. J.R. Astron. Soc., vol. 13, no. 5, pp. 529–539 (1967).
[11] Dziwinski T., BauerW., Baranowski J., et al., Robust non-integer order controller for air heater, IEEE, Conference: 19th International Conference on Methods and Models in Automation and Robotics (MMAR), Miedzyzdroje, Poland, pp. 434–438 (2014)
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-87e5fb85-704d-4e95-a31d-3e3f7224829a
Identyfikatory
DOI 10.24425/119647