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    Wyświetlanie 1-6 z 6
    Tytuł:
    Large-signal averaged models of the non-ideal flyback converter derived by the separation of variables
    Autorzy:
    Janke, W.
    Bączek, M.
    Kraśniewski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/200399.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    switch mode converter
    flyback
    averaged models
    separation of variables
    large-signal simulation
    Opis:
    The main topic of the paper is the large signal averaged model of a switch-mode flyback power converter. The use of the large-signal averaged models of switching converters allows for fast simulation of power systems. The known averaged models of a flyback are based on the state-space averaging or switch-averaging approach. The model presented in the paper is derived with the use of the separation of variables approach and include parasitic resistances of all converter components. The limitations of the model accuracy are discussed. The calculations based on the averaged model are compared with detailed full-wave simulations and measurements results.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 1; 81-88
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analytical Cartesian coordinate solutions of Laplace equations by separation of variable method in mathematical physics
    Autorzy:
    Madububa, B. I.
    Mbagwu, JP. C.
    Jonas, C. I.
    Odionyenma, U. B.
    Powiązania:
    https://bibliotekanauki.pl/articles/1193372.pdf
    Data publikacji:
    2021
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Cartesian coordinates
    Dimensions of space
    Laplace equations
    Partial derivatives
    Potential
    Separation of variables
    Opis:
    This research aimed at solving the Cartesian coordinates of two and three dimensional Laplace equations by separation of variables method. It was painstakingly solved with appropriate boundary conditions of steady states. However, the solution of potential (V) of a partial differential equation (PDE) in three real variables x,y and z are functionally obtained using separation of variable approach by stating the boundary conditions of the Cartesian coordinates.
    Źródło:
    World Scientific News; 2021, 155; 80-97
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analytical Solution to Linear Conformable Fractional Partial Differential Equations
    Autorzy:
    Dixit, Ajay
    Ujlayan, Amit
    Powiązania:
    https://bibliotekanauki.pl/articles/1159232.pdf
    Data publikacji:
    2018
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Conformable fractional derivative
    Fractional partial differential equation
    Katugampola’s derivative
    Method of separation of variables
    Opis:
    An analytical solution is better than an approximate or series solution of a problem. Here we develop an analytical formulation to solve linear fractional order partial differential equations with given boundary conditions. We discuss the method for the simultaneous fractional derivative, in space as well as time and up to order two. Examples reflect the effectiveness and simplicity of the method. First we convert the fractional derivative into integer order derivative and then use method of separation of variables in usual sense to get the complete solution. The fractional derivative has been taken in the sense of Katugampola’s derivative.
    Źródło:
    World Scientific News; 2018, 113; 49-56
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Small-signal transmittances of DC-DC step-down PWM converter in various operation modes
    Autorzy:
    Janke, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/141483.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    step-down converter
    BUCK
    CCM
    DCM
    averaged model
    small-signal
    transmittance
    switch-averaging
    separation of variables
    Opis:
    Small-signal transmittances: input-to-output and control-to-output of BUCK converter power stage working in CCM or DCM mode are discussed. Ideal converter case and converter with parasitic resistances are considered separately. Derivations of small-signal transmittances, based on different approaches to finding the converter averaged models, are presented and the results are compared. Apart from theoretical considerations, some results of numerical calculations are presented.
    Źródło:
    Archives of Electrical Engineering; 2015, 64, 3; 505-529
    1427-4221
    2300-2506
    Pojawia się w:
    Archives of Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Consideration of shear, rotational inertia and compressive force during transverse vibrations of structural beam elements
    Autorzy:
    Orobey, Viktor
    Nemchuk, Oleksii
    Lymarenko, Oleksandr
    Piterska, Varvara
    Sherstiuk, Olha
    Semenov, Pavlo
    Powiązania:
    https://bibliotekanauki.pl/articles/27313804.pdf
    Data publikacji:
    2024
    Wydawca:
    Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
    Tematy:
    allowance forshear
    allowance rotational inertia
    Fourier method
    separation of variables
    determination of refined vibration frequencies
    structural beam elements
    Opis:
    The procedure for taking into account shear and rotational inertia in the case of transverse vibrations of beam elements of material handling vehicles with different conditions of fastening (support) is considered. The dynamic model of the rod element is supplemented with compressive forces with a fixed line of action and monitors the angle of rotation of the rod. The Fourier method of separation of variables in the harmonic vibrations of beams is applied. This made it possible to obtain a differential equation, kinematic and static parameters in the amplitude state. The resulting differential equation is integrated, the fundamental functions are normalized, and the complete solution is presented in matrix form with initial parameters. Four cases of fundamental functions are revealed. For beam elements with different support conditions, the vibration frequency has been refined. With hinged support, the first 5 frequencies of this work coincide with the frequencies obtained by another approach.
    Źródło:
    Diagnostyka; 2024, 25, 1; art. no. 2024101
    1641-6414
    2449-5220
    Pojawia się w:
    Diagnostyka
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Diffusion equation including a local fractional derivative and weighted inner product
    Autorzy:
    Cetinkaya, Suleyman
    Demir, Ali
    Powiązania:
    https://bibliotekanauki.pl/articles/2175506.pdf
    Data publikacji:
    2022
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    local fractional derivative
    Dirichlet boundary conditions
    spectral method
    separation of variables
    weighted inner product
    lokalna pochodna ułamkowa
    warunek brzegowy Dirichleta
    metoda spektralna
    separacja zmiennych
    Opis:
    In this research, we discuss the construction of the analytic solution of the homogenous initial boundary value problem including partial differential equations of fractional order. Since the homogenous initial boundary value problem involves a local fractional order derivative, it has classical initial and boundary conditions. By means of separation of the variables method and the inner product defined on L2 [0, l], the solution is constructed in the form of a Fourier series including the exponential function. The illustrative examples present the applicability and influence of the separation of variables method on time fractional diffusion problems. Moreover, as the fractional order α tends to 1, the solution of the fractional diffusion problem tends to the solution of the diffusion problem which proves the accuracy of the solution.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 1; 19--27
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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