Autor: Mitkowski, W. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Finite-dimensional approximations of distributed RC networks
Autorzy:: Mitkowski, W.
Powiązania:: https://bibliotekanauki.pl/articles/201214.pdf
Data publikacji:: 2014
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: ladder and ring electrical networks
finite-dimensional approximations
eigenvalues of ladder networks
Jacobi matrix
Opis:: Spectral properties of ladder and spatial electrical networks are considered. Dynamic properties of the networks are characterised by eigenvalues of the Jacobi cyclic state matrix. The effective formulas for eigenvalues of appropriate uniform systems are given. Numerical calculations were made using MATLAB.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 2; 263-269
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Fractional-order models of the supercapacitors in the form of RC ladder networks
Autorzy:: Mitkowski, W.
Skruch, P.
Powiązania:: https://bibliotekanauki.pl/articles/202034.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional-order model
electrical ladder network
supercapacitor
identification
Opis:: In the paper, mathematical models of the supercapacitors are investigated. The models are based on electrical circuits in the form of RC ladder networks. The elementary cell of the network may consist of resistances and capacitances that are connected in series or parallel. The dynamic behavior of the circuit is described using fractional-order differential equations and its properties are analyzed. The identification procedure with quadratic performance index is performed in time domain to identify the parameters of the supercapacitor models. The results of numerical simulations are compared with the results measured experimentally in the physical system. In addition, an example from the automotive industry is used for an experimental evaluation of the theoretical analysis and to present a perspective on the applicability of the approach for other industrial projects.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 3; 581-587
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: A new algorithm for a CFE-approximated solution of a discrete-time noninteger-order state equation
Autorzy:: Oprzędkiewicz, K.
Stanisławski, R.
Gawin, E.
Mitkowski, W.
Powiązania:: https://bibliotekanauki.pl/articles/199796.pdf
Data publikacji:: 2017
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional order calculus
discrete-time noninteger-order state equation
continuous fraction expansion
Al-Alaoui operator
równanie dyskretne
aproksymacja Al-Alaoui
CFE
Opis:: In the paper, a new method for solution of linear discrete-time fractional-order state equation is presented. The proposed method is simpler than other methods using directly discrete-time version of the Grünwald-Letnikov operator. The method is dedicated to use with any approximator to the operator expressed by a discrete transfer function, e.g. CFE-based Al-Alaoui approximation. A simulation example confirms the usefulness of the method.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 4; 429-437
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: The Caputo vs. Caputo-Fabrizio operators in modeling of heat transfer process
Autorzy:: Oprzędkiewicz, K.
Mitkowski, W.
Gawin, E.
Dziedzic, K.
Powiązania:: https://bibliotekanauki.pl/articles/200001.pdf
Data publikacji:: 2018
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional order systems
Caputo operator
Caputo-Fabrizio operator
non singular kernel operator
heat transfer
simplex method
transfer ciepła
metoda simplex
system ułamkowy
pochodna Caputo
Opis:: In the paper two non-integer order, state space models of heat transfer process are compared. The first uses a known Caputo operator and the second – a new operator proposed by Caputo and Fabrizio in 2015. Both discussed models are modifications of a known, integer order, state space, semigroup model of heat transfer process. Parameters of both models were identified by means of optimization of MSE cost function with the use of simplex method, available in MATLAB. Both proposed models have been compared in the aspect of accuracy and convergence. Analytical and numerical results show that the Caputo-Fabrizio model is faster convergent and easier to implement than the Caputo model. However, its accuracy in the sense of MSE cost function is worse.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 4; 501-507
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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