• Title/Summary/Keyword: Time-discretization

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Digital Control of UPS Inverter with Time Response Specifications

  • Woo, Young-Tae;Kim, Young-Chol
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.14-19
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    • 2004
  • This paper presents two approaches for designing a digital controller of UPS inverter with time response requirements and a fixed sampling time, which are inward and outward approaches based on a double loop feedback structure. In both approaches, the emulation method. is occupied. Thus we first design continuous-time controllers and then obtain digital controllers by using discretization. We apply the characteristic ratio assignment (CRA) in order to achieve the time response specifications. Also, the internal model control has been used for compensating phase delay in outward approach. The performances of the proposed controller are evaluated through several simulations carried out with Simpower system toolbox 3.0 of $Simulink^{(R)}$.

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Simulation of Voltage and Current Distributions in Transmission Lines Using State Variables and Exponential Approximation

  • Dan-Klang, Panuwat;Leelarasmee, Ekachai
    • ETRI Journal
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    • v.31 no.1
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    • pp.42-50
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    • 2009
  • A new method for simulating voltage and current distributions in transmission lines is described. It gives the time domain solution of the terminal voltage and current as well as their line distributions. This is achieved by treating voltage and current distributions as distributed state variables (DSVs) and turning the transmission line equation into an ordinary differential equation. Thus the transmission line is treated like other lumped dynamic components, such as capacitors. Using backward differentiation formulae for time discretization, the DSV transmission line component is converted to a simple time domain companion model, from which its local truncation error can be derived. As the voltage and current distributions get more complicated with time, a new piecewise exponential with controllable accuracy is invented. A segmentation algorithm is also devised so that the line is dynamically bisected to guarantee that the total piecewise exponential error is a small fraction of the local truncation error. Using this approach, the user can see the line voltage and current at any point and time freely without explicitly segmenting the line before starting the simulation.

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Identification of flutter derivatives of bridge decks using CFD-based discrete-time aerodynamic models

  • Zhu, Zhiwen;Gu, Ming
    • Wind and Structures
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    • v.18 no.3
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    • pp.215-233
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    • 2014
  • This paper presents a method to extract flutter derivatives of bridge decks based on a combination of the computational fluid dynamics (CFD), system simulations and system identifications. The incompressible solver adopts an Arbitrary Lagrangian-Eulerian (ALE) formulation with the finite volume discretization in space. The imposed sectional motion in heaving or pitching relies on exponential time series as input, with aerodynamic forces time histories acting on the section evaluated as output. System identifications are carried out to fit coefficients of the inputs and outputs of ARMA models, as to establish discrete-time aerodynamic models. System simulations of the established models are then performed as to obtain the lift and moment exerting on the sections to a sinusoidal displacement. It follows that flutter derivatives are identified. The present approaches are applied to a hexagon thin plate and a real bridge deck. The results are compared to the Theodorsen closed-form solution and those from wind tunnel tests. Satisfactory agreements are observed.

ANALYSIS OF A MESHFREE METHOD FOR THE COMPRESSIBLE EULER EQUATIONS

  • Kim, Yong-Sik;Pahk, Dae-Hyeon
    • Journal of the Korean Mathematical Society
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    • v.43 no.5
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    • pp.1081-1098
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    • 2006
  • Mathematical analysis is made on a mesh free method for the compressible Euler equations. In particular, the Moving Least Square Reproducing Kernel (MLSRK) method is employed for space approximation. With the backward-Euler method used for time discretization, existence of discrete solution and it's $L^2-error$ estimate are obtained under a regularity assumption of the continuous solution. The result of numerical experiment made on the biconvex airfoil is presented.

A NUMERICAL METHOD FOR SOLVING THE FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND

  • Sridharan, V.;Jayashree, P.R.
    • Journal of applied mathematics & informatics
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    • v.5 no.2
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    • pp.293-300
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    • 1998
  • The numerical method is used to solve the Fredholm integral equation of the second kind with weak singular kernels using the Toeplitz matrices. The solution has a computing time requir-ment of O(N2) where 2N+1 is the number of discretization points used. Also the error estimate is computed. Some numerical Exam-ples are computed using the Mathcad package.

SUPERCONVERGENCE OF CRANK-NICOLSON MIXED FINITE ELEMENT SOLUTION OF PARABOLIC PROBLEMS

  • Kwon, Dae Sung;Park, Eun-Jae
    • Korean Journal of Mathematics
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    • v.13 no.2
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    • pp.139-148
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    • 2005
  • In this paper we extend the mixed finite element method and its $L_2$-error estimate for postprocessed solutions by using Crank-Nicolson time-discretization method. Global $O(h^2+({\Delta}t)^2)$-superconvergence for the lowest order Raviart-Thomas element ($Q_0-Q_{1,0}{\times}Q_{0,1}$) are obtained. Numerical examples are presented to confirm superconvergence phenomena.

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Parallelization of 3-dimensional Multigrid DADI Method (3차원 다중격자 DADI 방법의 병렬처리)

  • Seong Chun-Ho;Park Su-Hyeong;Gwon Jang-Hyeok
    • 한국전산유체공학회:학술대회논문집
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    • 1998.05a
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    • pp.49-54
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    • 1998
  • 3-dimensional Euler solver is parallelized. The spatial discretization method is the 2nd order TVD scheme and DADI method with multigrid is used as a time integration. In order to parallelize this solver, the domain decomposition method with overlapped grid and message passing techniques are used. The informations on the each inter-processor bound-aries are communicated with MPI library. Finally, the parallel performance repsented by calculating the ONERA M6 wing at transonic flow condition using CRAY T3E and C90.

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Aerodynamic Characteristics of 2-D, Unsteady Flow Past a Square Cylinder (Revaluation of SOLA Scheme) (2차원각주의 비정상 공력특성(SOLA스킴의 재평가))

  • 이영호
    • Journal of Advanced Marine Engineering and Technology
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    • v.14 no.2
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    • pp.48-65
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    • 1990
  • Numerical solutions of the Navier-Stokes equations, governing 2-dimensional, time-dependent, viscous, incompressible fluid flow past a square cylinde in an infinite region, are presented for Reynolds numbers $10^2$, $10^3$and $10^4$. Finite-difference scheme, based on SOLA-VOF is adopted and a discretization of the convection term for irregular grid is newly suggested by altering the original nonconservation form into conservation one. Distribution of finer grids around the body reveals fairly reasonable consistency with the experimental variables : drag coefficient, lift coefficient, Strouhal number, fluctuating pressure coefficient, etc.

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An efficient method on two-phased guillotine cutting stock (효율적인 2단계 길로틴 평면절단 방법)

  • Kim, Sang-Youl;Park, Soon-Dal
    • IE interfaces
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    • v.8 no.2
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    • pp.151-159
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    • 1995
  • Two-dimensional cutting stock problem is to find a waste-minimizing method of cutting a single rectangular plane into a number of smaller pieces of known dimensions. In practice, besides wastes, setup cost taken during adjusting is of an important concern. We suggest 2-phased guillotine cutting method as a solution to the problem which minimize wastes and setup costs. Also, in order to reduce the computing time we apply techniques of discretization, cutoff, median. Experimental results show good performance of our algorithm.

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