• Title/Summary/Keyword: 시간적분

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DEVELOPMENT OF AN HIGH-ORDER IMPLICIT DISCONTINUOUS GALERKIN METHOD ON UNSTRUCTURED MESHES (비정렬 격자계에서 고차 정확도의 내재적 불연속 갤러킨 기법의 개발)

  • Lee, H.D.;Kwon, O.J.
    • Journal of computational fluids engineering
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    • v.12 no.3
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    • pp.29-40
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    • 2007
  • An implicit discontinuous Galerkin method for the two-dimensional Euler equations was developed on unstructured triangular meshes. The method can achieve high-order spatial accuracy by using hierachical basis functions based on Legendre polynomials. Numerical tests were conducted to estimate the convergence order of numerical solutions to the Ringleb flow and the supersonic vortex flow for which analytic solutions are available. Also, the flows around a 2-D circular cylinder and an NACA0012 airfoil were numerically simulated. The numerical results showed that the implicit discontinuous Galerkin methods couples with a high-order representation of curved solid boundaries can be an efficient method to obtain very accurate numerical solutions on unstructured meshes.

DEVELOPMENT OF A HIGH-ORDER IMPLICIT DISCONTINUOUS GALERKIN METHOD FOR SOLVING COMPRESSIBLE NAVIER-STOKES EQUATIONS (압축성 Navier-Stokes 방정식 해를 위한 고차 정확도 내재적 불연속 갤러킨 기법의 개발)

  • Choi, J.H.;Lee, H.D.;Kwon, O.J.
    • Journal of computational fluids engineering
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    • v.16 no.4
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    • pp.72-83
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    • 2011
  • A high-order discontinuous Galerkin method for the two-dimensional compressible Navier-Stokes equations was developed on unstructured triangular meshes. For this purpose, the BR2 methd(the second Bassi and Rebay discretization) was adopted for space discretization and an implicit Euler backward method was used for time integration. Numerical tests were conducted to estimate the convergence order of the numerical solutions of the Poiseuille flow for which analytic solutions are available for comparison. Also, the flows around a flat plate, a 2-D circular cylinder, and an NACA0012 airfoil were numerically simulated. The numerical results showed that the present implicit discontinuous Galerkin method is an efficient method to obtain very accurate numerical solutions of the compressible Navier-Stokes equations on unstructured meshes.

Improved Response of the Plant with an Integrator and Long Dead Time (적분기와 큰 시간지연을 가지는 플랜트에 대한 응답특성 개선)

  • Yang, Seung-Hyun;Park, Yong-Sik;Hur, Myung-Jun;Lee, Suk-Won
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.515-517
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    • 1999
  • This paper considers the design of the effective controllers for the plant with an integrator and a long deadtime. The structure of the new DTC(DeadTime Compensator) that has an additive filter is proposed. Our DTC shows the improved performance in set-point response and disturbance rejection. Especially the bad effect of the long deadtime in the disturbance rejection is fairly reduced by using the additive filter. Illustrative examples are provided to show the availability of the proposed controller.

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Study on the development of Long-Term Voltage Stability Simulation Progrma (장기 전압 안정도 시모의를 위한 프로그램 개발 연구)

  • Kim, Ji-Hun;Lee, Byong-Jun;Song, Hwa-Chang;Kim, Tae-Kyun;Shin, Jeong-Hoon;Nam, Su-Chul
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.193_194
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    • 2009
  • 본 논문은 장기 전압 안정도 분석을 위한 프로그램 개발을 목적으로 한다. 장기 전압 불안정 현상은 전력 계통에 투입되어 있는 무효전력과 관련된 제어기 중에서 그 동작특성이 수 분에서 수십 분에 이르는 제어기에 의해 발생한다. 기존에 장기 전압 안정도 분석에는 상용툴의 Full-time Domain 알고리즘을 이용하였다. 하지만 기존의 Full-time Domain 알고리즘에 의해 장기 전압 안정도 분석을 하게 되면 그 연산 시간이 매우 오래 걸릴 뿐만 아니라, 시적분에 의한 수치 에러로 인하여 정확성을 보장할 수 없다. 본 논문에서는 장기 전압안정도 분석을 하기 위해 준동적 시모의 알고리즘(Quasi-Steady-State Algorithm)을 도입하였다. 준동적 시모의 알고리즘을 적용한 프로그램을 보이고, 이에 따fms 모의를 한구전력계통에 적용하였다.

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Development of a New Discontinuous Time Integration Method for Transient Analysis of Impact Phenomena (충격해석을 위한 새로운 불연속 시간적분법의 개발)

  • 조진연;김승조
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.407-412
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    • 1998
  • In this work, a new time integration method is proposed using the generalized derivative concept to simulate the dynamic phenomena having sudden constraint occurring in dynamic contact/impact problems. By the adoption of the generalized derivative concept and jump assumption, discontinuity can be incorporated in time integration and as a result, the algorithm does not need any other special consideration of jumps in dynamic field variables due to sudden constraint like dynamic contact-release conditions. To observe the characteristics of the proposed time integration method, the stability and convergence analyses are carried out. In numerical tests, several dynamic contact/impact problems are analyzed by straightforward application of the proposed time integration method with the exterior penalty method.

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Stability of Time-delayed Linear Systems using an Improved Integral Inequality (개선된 적분부등식을 이용한 시간지연 선형 시스템의 안정성)

  • Kim, Jin-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.5
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    • pp.806-811
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    • 2017
  • This paper considers the delay-dependent stability of linear systems with a time-varying delay in the frame work of Lyapunov-Krasovskii functional(LKF) approach. In this approach, an integral inequality is essential to estimate the upper bound of time-derivative of LKF, and a less conservative one is needed to get a less conservative stability result. In this paper, based on free weighting matrices, an improved integral inequality encompassing well-known results is proposed and then a stability result in the form of linear matrix inequality is derived based on an augmented LKF. Finally, two well-known numerical examples are given to demonstrate the usefulness of the proposed result.

Time Mean Drifting Forces on a Cylinder in Water of Finite Depths -Direct Pressure Integration Method- (유한(有限)깊이의 물에 떠있는 주상체(柱狀體)에 작용(作用)하는 시간평균표류력(時間平均漂流力) -직접압력(直接壓力) 적분법(積分法)-)

  • K.P.,Rhee;K.K.,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.22 no.2
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    • pp.27-34
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    • 1985
  • In this paper, the second order time mean forces acting on the circular cylinder floating on the free surface of a finite water depth are calculated. Under the assumption that fluid is idea and the wave the linear gravity wave, the velocity potential is calculated by the source distribution method, and the second order time mean lateral and vertical drifting forces are calculated by the direct integration of fluid pressures over the immersed body surface. The comparison of the lateral drifting forces with Rhee's results by momentum theorem shows good agreements. And it is shown that the second order time sinkage forces of a floating circular cylinder cross zero for all water depths.

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A Study on Improvement of PWR Steam Generator Water Level Control at Low Power Operation (저출력시 원전 증기발생기 수위제어 개선 연구)

  • Yun, Jae-Hee;Han, Jai-Bok;Joon Lyou
    • Nuclear Engineering and Technology
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    • v.26 no.3
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    • pp.420-424
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    • 1994
  • This paper presents an improved water level control scheme for Pressurized Water Reactor(PWR) Steam Generator(S/G) at the low power operation and transient states. To reduce fluctuations of the water level by the swell and shrink phenomena, the scheme adds feedforward terms considering S/G pressure and the feedwater temperature into the conventional proportional-integral feedback controller. The simulation results using the Compact Nuclear Simulator show that smaller level errors and much faster settling time than those of the conventional scheme can be obtained. The proposed algorithm is easily implementable and has a potential for the real applications.

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Transient Analysis of Electromagnetic Scattering From Dielectric Objects Using Time-Domain Magnetic Field Integral Equation (시간영역 자장 적분방정식을 이용한 유전체의 전자파 산란 과도해석)

  • 서정훈;정백호;한상호;안현수
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.52 no.9
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    • pp.412-417
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    • 2003
  • In this Paper, we propose a time-domain magnetic field integral equation (TD-MFIE) formulation for analyzing the transient electromagnetic response from three-dimensional (3-D) dielectric bodies. The solution method in this paper is based on the Galerkin's method that involves separate spatial and temporal testing procedures. Triangular patch basis functions are used for spatial expansion and testing functions for arbitrarily shaped 3-D dielectric structures. The time-domain unknown coefficients of the equivalent electric and magnetic currents are approximated tv a set of orthonormal basis function that is derived from the Laguerre polynomials. These basis functions are also used for the temporal testing. Numerical results computed by the proposed method are presented and compared.

Improved Response of Time-Delay System with Integrator (적분기를 갖는 시간지연 시스템의 응답특성 개선)

  • Lee, Suk-Won;Yang, Seung-Hyun;Lee, Kyu-Yong
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.930-932
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    • 1999
  • Recently a new modified Smith predictor is proposed for a time-delay system with an integrator. It is shown that the approximate model yields the zero-steady state error and the disturbance compensator improved the transient response. But in case of mismatch between the plant's time-delay and model's time-delay, the overall response is not satisfactory. In this paper, it is proposed that the proper pole is added to the new modified smith predictor to improve the overall response.

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