• 제목/요약/키워드: Time Stepping Method

검색결과 163건 처리시간 0.027초

시간차분 유한요소법을 이용한 대용량 삼상 변압기의 정상상태 해석에 관한 연구 (Study on Steady State Analysis of High Power Three-Phase Transformer using Time-Stepping Finite Element Method)

  • 윤희성;서민규;고창섭
    • 전기학회논문지
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    • 제61권8호
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    • pp.1123-1129
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    • 2012
  • This paper presents the fast steady state analysis using time-stepping finite element method for a high power three-phase transformer. The high power transformer spends huge computational cost of the time-stepping finite element method. It is because that the high power transformer requires a lot of time to reach steady state by its large inductance component. In order to reduce computational cost, in this paper, the adaptive time-step control algorithm combined with the embedded 2nd 4th singly diagonally implicit Runge-Kutta method and the analysis strategy using variation of the winding resistance are studied, and their numerical results are compared with those from the typical time-stepping finite element method.

LARGE TIME-STEPPING METHOD BASED ON THE FINITE ELEMENT DISCRETIZATION FOR THE CAHN-HILLIARD EQUATION

  • Yang, Yanfang;Feng, Xinlong;He, Yinnian
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1129-1141
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    • 2011
  • In this paper, a class of large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation with the Neumann boundary conditions is developed. The equation is discretized by finite element method in space and semi-implicit schemes in time. For the first order fully discrete scheme, convergence property is investigated by using finite element analysis. Numerical experiment is presented, which demonstrates the effectiveness of the large time-stepping approaches.

다중 격자 기법을 위한 예조건화된 다단계 시간 전진 기법 (Preconditioned Multistage Time Stepping for the Multigrid Method)

  • 김윤식;권장혁
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2001년도 춘계 학술대회논문집
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    • pp.127-133
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    • 2001
  • In this paper, the preconditioned multistage time stepping methods which are popular multigrid smoothers is studied for the compressible flow calculations. Fourier analysis on the local time stepping and block-Jacobi preconditioned residual operators is performed using the linearized 2-D Navier-Stokes equations. It fumed out that block-Jacobi preconditioner has better performance in eigenvalue clustering. They are implemented in the 2-D compressible Euler and Wavier-Stokes calculations with multigrid methods to verify that the block-Jacobi preconditioned multistage time stepping shows better performance in convergence acceleration.

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이중 시간전진법과 Preconditioning을 이용한 저속의 압축성유동에 대한 비정상 해석기법 (Time accurate method for low speed compressible flows using dual time stepping and preconditioning procedure)

  • 최윤호;강신형
    • 대한기계학회논문집B
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    • 제22권6호
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    • pp.788-802
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    • 1998
  • A numerical method using dual time stepping and preconditioning procedure for efficient computations of unsteady low speed compressible flow problems is developed. The time-derivative preconditioning method which is valid at low speed flow conditions cannot maintain temporal accuracy because of the modification of the time-derivative term in Navier-Stokes equations. The dual time stepping procedure is incorporated to enable the time accurate computations and this procedure introduces a pseudo-time derivative in addition to the physical time derivative. At a given physical time, an inner iteration can be carried out until a steady state in pseudo-time is achieved. This will effectively yield a time accurate solution. Computational capabilities of the above algorithm are demonstrated through computation of a variety of practical fluid flows and it is shown that the algorithms is efficient in the essentially incompressible flows and low Mach number compressible flows with heat source.

A boundary element method based on time-stepping approximation for transient heat conduction in anisotropic solids

  • Tanaka, Masa;Matsumoto, T.;Yang, Q.F.
    • Structural Engineering and Mechanics
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    • 제4권1호
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    • pp.61-72
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    • 1996
  • The time-stepping boundary element method has been so far applied by the authors to transient heat conduction in isotropic solids as well as in orthotropic solids. In this paper, attempt is made to extend the method to 2-D transient heat conduction in arbitrarily anisotropic solids. The resulting boundary integral equation is discretized by means of the boundary element with quadratic interpolation. The final system of equations thus obtained is solved by advancing the time step from the given initial state to the final state. Through numerical compuation of a few examples the potential usefulness of the proposed method is demonstrated.

Improved Characteristic Analysis of a 5-phase Hybrid Stepping Motor Using the Neural Network and Numerical Method

  • Lim, Ki-Chae;Hong, Jung-Pyo;Kim, Gyu-Tak;Im, Tae-Bin
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • 제11B권2호
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    • pp.15-21
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    • 2001
  • This paper presents an improved characteristic analysis methodology for a 5-phase hybrid stepping motor. The basic approach is based on the use of equivalent magnetic circuit taking into account the localized saturation throughout the hybrid stepping motor. The finite element method(FEM) is used to generate the magnetic circuit parameters for the complex stator and rotor teeth and airgap considering the saturation effects in tooth and poles. In addition, the neural network is used to map a change of parameters and predicts their approximation. Therefore, the proposed method efficiently improves the accuracy of analysis by using the parameter characterizing localized saturation effects and reduces the computational time by using the neural network. An improved circuit model of 5-phase hybrid stepping motor is presented and its application is provided to demonstrate the effectiveness of the proposed method.

구조동역학 문제에서 전단계 오차추정치를 이용한 자동시간간격 조정 알고리듬 (An Automatic Time Stepping Algorithm Using a Prior Error Estimator in Structural Dynamics)

  • 조은형;정진태
    • 소음진동
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    • 제9권6호
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    • pp.1240-1246
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    • 1999
  • A prior error estimator which is solving structural dynamic problems and which is based on the generalized-method, is developed. Since the proposed error estimator is computed with only previous information, the time step size can be adaptively selected without the feedback mechanism. This paper shows that the automatic time stepping algorithm using the error estimator performs an efficient time integration. To verify its efficiency, several examples are numerically investigated.

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FE Analysis of Hybrid Stepping Motor (HSM)

  • Jang Ki-Bong;Lee Ju
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • 제5B권1호
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    • pp.39-42
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    • 2005
  • Though full 3D analysis is the proper method to analyze the hybrid stepping motor (HSM), it has weak points in the areas of computation time and complexity. This paper introduces 2D FEA using a virtual magnetic barrier for the axial cross section to save computation time. For the purpose of 2D FEA, the virtual magnetic barrier and equivalent permanent magnet model of HSM are proposed. This result is compared with that of experimental and 3D analysis, considered as a reference result.

패널법을 이용한 임의의 3차원 BWB 형상 항공기에 대한 공력해석 (Aerodynamic Analysis of an Arbitrary Three-Dimensional Blended Wing Body Aircraft using Panel Method)

  • 이세욱;양진열;조진수
    • 한국항공우주학회지
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    • 제37권11호
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    • pp.1066-1072
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    • 2009
  • 패널법(panel method)을 이용하여 포텐셜 유동조건에 있는 임의의 3차원 융합익기(Blended-Wing Body) 형상에 대해 정상/비정상 공력해석을 수행하였다. 본 연구 방법은 구간일정강도(piecewise constant strength) 용출(source) 및 중첩(doublet) 특이점(singularity)을 사용하고 Dirichlet 경계조건에 기초한 포텐셜 기저(potential based) 패널법과 물체고정좌표계의 각 방향에 대해 시간전진법(time-stepping method)을 결합한 방법이다. 본 프로그램은 임의의 3차원 BWB 형상 항공기의 공력해석을 빠르고 정확하게 수행할 수 있으며 BWB 항공기의 안정성을 위한 다양한 공력계수를 제공할 수 있다. 본 프로그램으로 3차원 정상/비정상 임의의 3차원 형상에 대하여 공력특성을 예측할 수 있어 BWB 항공기 설계단계, 비행 시뮬레이션과 같이 반복적 빠른 계산을 요구하는 실질적 응용에 크게 기여할 것이다.