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    Wyświetlanie 1-3 z 3
    Tytuł:
    Application of novel discrete differential operator of periodic function to study electromechanical interactions
    Autorzy:
    Sobczyk, T. J.
    Radzik, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/201412.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    electromechanical system
    steady state analysis
    periodic solutions
    analysis in time domain
    discrete differential operator
    iterative algorithms
    system elektromechaniczny
    analiza stanu ustalonego
    rozwiązania okresowe
    analiza w dziedzinie czasu
    dyskretny operator różniczkowania
    algorytm iteracyjny
    Opis:
    This paper investigates an algorithm for finding steady-states in electromechanical systems for the cases of their periodic nature. The algorithm enables to specify the steady-state solution identified directly in time domain. The basis for such an algorithm is a discrete differential operator that specifies the values of the first derivative of the periodic function in the selected set of points on the basis of the values of that function in the same set of points. It creates algebraic equations describing the steady-state solution for the nonlinear differential equations describing electromechanical systems. In this paper, the direct time-domain approach is tested for the simple converter considering. The algorithm used in this paper is competitive with respect to the one known in literature an approach based on the harmonic balance method operated in frequency domain.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 5; 645-653
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    1D and 2D finite-difference operators for periodic functions on arbitrary mesh
    Autorzy:
    Sobczyk, Tadeusz Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/2042801.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    arbitrary meshes
    finite-difference operators
    partial finite difference operators
    periodic function
    two-variable periodic functions
    Opis:
    This paper presents novel discrete differential operators for periodic functions of one- and two-variables, which relate the values of the derivatives to the values of the function itself for a set of arbitrarily chosen points over the function’s area. It is very characteristic, that the values of the derivatives at each point depend on the function values at all points in that area. Such operators allow one to easily create finite-difference equations for boundaryvalue problems. The operators are addressed especially to nonlinear differential equations.
    Źródło:
    Archives of Electrical Engineering; 2022, 71, 1; 265-275
    1427-4221
    2300-2506
    Pojawia się w:
    Archives of Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Bayesian Inference for a Deterministic Cycle with Time-Varying Amplitude: The Case of the Growth Cycle in European Countries
    Autorzy:
    Lenart, Łukasz
    Powiązania:
    https://bibliotekanauki.pl/articles/2076240.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    deterministic cycle with time-varying amplitude
    Bayesian inference
    almost periodic function
    growth cycle
    industrial production
    Opis:
    The main goal of this paper is to propose the probabilistic description of cyclical (business) fluctuations. We generalize a fixed deterministic cycle model by incorporating the time-varying amplitude. More specifically, we assume that the mean function of cyclical fluctuations depends on unknown frequencies (related to the lengths of the cyclical fluctuations) in a similar way to the almost periodic mean function in a fixed deterministic cycle, while the assumption concerning constant amplitude is relaxed. We assume that the amplitude associated with a given frequency is time-varying and is a spline function. Finally, using a Bayesian approach and under standard prior assumptions, we obtain the explicit marginal posterior distribution for the vector of frequency parameters. In our empirical analysis, we consider the monthly industrial production in most European countries. Based on the highest marginal data density value, we choose the best model to describe the considered growth cycle. In most cases, data support the model with a time-varying amplitude. In addition, the expectation of the posterior distribution of the deterministic cycle for the considered growth cycles has similar dynamics to cycles extracted by standard bandpass filtration methods.
    Źródło:
    Central European Journal of Economic Modelling and Econometrics; 2018, 3; 233-262
    2080-0886
    2080-119X
    Pojawia się w:
    Central European Journal of Economic Modelling and Econometrics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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