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Steady-state modelling method for matrix-reactance frequency converter with boost topology

Igor Ye. Korotyeyev Beata Zięba
Archives of Electrical Engineering | 2011 | vol. 60 | No 2 June | 137-148 | DOI: 10.2478/v10171-011-0013-8
Keywords AC/AC converters matrix-reactance frequency converter Galerkin's method extension of differential equations
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Abstract

This paper presents a method intended for calculation of steady-state processes in AC/AC three-phase converters that are described by nonstationary periodical differential equations. The method is based on the extension of nonstationary differential equations and the use of Galerkin's method. The results of calculations are presented in the form of a double Fourier series. As an example, a three-phase matrix-reactance frequency converter (MRFC) with boost topology is considered and the results of computation are compared with a numerical method.
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Authors and Affiliations

Igor Ye. Korotyeyev
Beata Zięba

Analysis of three-phases matrix reactance frequency converter with two pulsations of control signal

Igor Ye. Korotyeyev Beata Zięba
Archives of Electrical Engineering | 2012 | vol. 61 | No 3 September | 359-371 | DOI: 10.2478/v10171-012-0029-8
Keywords matrix-reactance frequency converter non-stationary periodic differential Galerkin's method extension of differential equations
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Abstract

This paper presents a method of calculation of steady-state processes in threephases matrix-reactance frequency converters (MRFC's), in which voltages and currents are transformed by control signals with two pulsations. A solution of nonstationary differentia equations with periodic coefficients that describe this system is obtained by using Galerkin's method and an extension of equations of one variable of time to equations of two variables of time. The results of calculations are presented in an example of three-phases MRFC with buck-boost topology and compared with a numerical metod embedded in the program Mathematica.

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Authors and Affiliations

Igor Ye. Korotyeyev
Beata Zięba

Review of Lattice Boltzmann Method Applied to Computational Aeroacoustics

Weidong Shao Jun Li
Archives of Acoustics | 2019 | vol. 44 | No 2 | 215-238 | DOI: 10.24425/aoa.2019.128486
Keywords lattice Boltzmann method computational aeroacoustics dispersion and dissipation perfectly matched layers discontinuous Galerkin method
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Abstract

This paper presents the research studies carried out on the application of lattice Boltzmann method (LBM) to computational aeroacoustics (CAA). The Navier-Stokes equation-based solver faces the difficulty of computational efficiency when it has to satisfy the high-order of accuracy and spectral resolution. LBM shows its capabilities in direct and indirect noise computations with superior space-time resolution. The combination of LBM with turbulence models also work very well for practical engineering machinery noise. The hybrid LBM decouples the discretization of physical space from the discretization of moment space, resulting in flexible mesh and adjustable time-marching. Moreover, new solving strategies and acoustic models are developed to further promote the application of LBM to CAA.

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Authors and Affiliations

Weidong Shao
Jun Li

Meshless local Petrov-Galerkin method for rotating Rayleigh beam using Chebyshev and Legendre polynomials

Vijay Panchore
Archive of Mechanical Engineering | 2022 | vol. 69 | No 2 | 301-318 | DOI: 10.24425/ame.2022.140416
Keywords meshless local Petrov-Galerkin method mechanical vibrations orthogonal polynomials Finite Element Method (FEM) rotating beams
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Abstract

The numerical solutions are obtained for rotating beams; the inclusion of centrifugal force term makes it difficult to get the analytical solutions. In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre polynomials where weak form of meshless local Petrov-Galerkin method is used. The equations which are derived for rotating beams result in stiffness matrices and the mass matrix. The orthogonal polynomials are used and results obtained with Chebyshev polynomials and Legendre polynomials are exactly the same. The results are compared with the literature and the conventional finite element method where only first seven terms of both the polynomials are considered. The first five natural frequencies and respective mode shapes are calculated. The results are accurate when compared to literature.
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Bibliography

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Authors and Affiliations

Vijay Panchore
1
  1. Department of Mechanical Engineering, Maulana Azad National Institute of Technology, Bhopal, India

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