• 제목/요약/키워드: SOR Method

검색결과 58건 처리시간 0.026초

Seamless Transfer of Single-Phase Utility Interactive Inverters with a Synchronized Output Regulation Strategy

  • Xiang, Ji;Ji, Feifan;Nian, Heng;Zhang, Junming;Deng, Hongqiao
    • Journal of Power Electronics
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    • 제16권5호
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    • pp.1821-1832
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    • 2016
  • This study presents a strategy using the synchronized output regulation method (SOR) for controlling inverters operating in stand-alone and grid-connected modes. From the view point of networked dynamic systems, SOR involves nodes with outputs that are synchronized but also display a desirable wave shape. Under the SOR strategy, the inverter and grid are treated as two nodes that comprise a simple network. These two nodes work independently under the stand-alone mode. An intermediate mode, here is named the synchronization mode, is emphasized because the transition from the stand-alone mode to the grid-connected mode can be dealt as a standard SOR problem. In the grid-connected mode, the inverter operates in an independent way, in which the voltage reference changes for generalized synchronization where its output current satisfies the required power injection. Such a relatively independent design leads to a seamless transfer between operation modes. The closed-loop system is analyzed in the state space on the basis of the output regulation theory, which improves the robustness of the design. Simulations and experiments are performed to verify the proposed control strategy.

대형비대칭 이산행렬의 CRAY-T3E에서의 해법을 위한 확장가능한 병렬준비행렬 (A Scalable Parallel Preconditioner on the CRAY-T3E for Large Nonsymmetric Spares Linear Systems)

  • 마상백
    • 정보처리학회논문지A
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    • 제8A권3호
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    • pp.227-234
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    • 2001
  • In this paper we propose a block-type parallel preconditioner for solving large sparse nonsymmetric linear systems, which we expect to be scalable. It is Multi-Color Block SOR preconditioner, combined with direct sparse matrix solver. For the Laplacian matrix the SOR method is known to have a nondeteriorating rate of convergence when used with Multi-Color ordering. Since most of the time is spent on the diagonal inversion, which is done on each processor, we expect it to be a good scalable preconditioner. We compared it with four other preconditioners, which are ILU(0)-wavefront ordering, ILU(0)-Multi-Color ordering, SPAI(SParse Approximate Inverse), and SSOR preconditiner. Experiments were conducted for the Finite Difference discretizations of two problems with various meshsizes varying up to $1025{\times}1024$. CRAY-T3E with 128 nodes was used. MPI library was used for interprocess communications, The results show that Multi-Color Block SOR is scalabl and gives the best performances.

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진동하는 원주 주위의 유체 유동에 관한 연구 (A Study on the Fluid Flow Around an Oscillating Circular Cylinder)

  • 서용권;문종춘
    • 한국해양공학회지
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    • 제4권2호
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    • pp.223-223
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    • 1990
  • A circular cylinder is oscillated in th otherwise quiescent viscous fluid. Numerical analysis performed for this problem by using the fourth-order Runge-kutta method for the unsteady Navier-stokes equations. For K(Kelegan-Carpenter''s No.)=5, the flow developed symmetrically, while for K=10, it revealed random patterns. The coefficient of the rms force is overestimated by 20-30% compared with the experimental result.

대형이산 행렬 시스템의 초대형병렬컴퓨터에서의 해법을 위한 병렬준비 행렬의 비교 (Comparison of Parallel Preconditioners for Solving Large Sparse Linear Systems on a Massively Parallel Machine)

  • 마상백
    • 한국정보처리학회논문지
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    • 제2권4호
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    • pp.535-542
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    • 1995
  • 이 논문에서 우리는 CM-5와 같은 초대형병렬컴퓨터에서 대형 이산선형체제를 풀기 위한 준비행렬로써 두 가지를 소개한다. 대다수의 초대형병렬컴퓨터들은 프로세서간의 통신을 메세지패씽(messagepassing)에 의존하는데 현재의 기술수준하에서는 이 통신속 도가 실수계산속도에 비해 매우 느리므로 종래의 메모리공유컴퓨터에서와는 달리 데이 터통신량을 최소화하는 알고리듬이 요구된다. 블록 SOR에 다중색채기법을 가미한 알고 리듬이 그 한 예로써 우리는 이를 CM-5에서 구현한 결과 N=512x512 행렬에서 프로세서 의 수가 16에서 512의 범위 하에서 50%의 효율을 실현하였다. 반면 종래의 효율적인 병렬 준비행렬로 알려진 AKI알고리듬은 방대한 량의 데이터통신 때문에 매우 열등한 결과를 보여준다.

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CFD에로의 Fuzzy 추론 응용에 관한 연구 - 반복계산을 위한 퍼지제어의 유효성 - (Fuzzy Reasoning on Computational Fluid Dynamics - Feasibility of Fuzzy Control for Iterative Method -)

  • 이연원;정용옥;박외철;이도형;배대석
    • 동력기계공학회지
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    • 제2권3호
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    • pp.21-26
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    • 1998
  • Numerical simulations for various fluid flows require enormous computing time during iterations. In order to solve this problem, several techniques have been proposed. A SOR method is one of the effective methods for solving elliptic equations. However, it is very difficult to find the optimum relaxation factor, the value of this factor for practical problems used to be estimated on the basis of expertise. In this paper, the implication of the relaxation factor are translated into fuzzy control rules on the basis of the expertise of numerical analysers, and fuzzy controller incorporated into a numerical algorithm. From two cases of study, Poisson equation and cavity flow problem, we confirmed the possibility of computational acceleration with fuzzy logic and qualitative reasoning in numerical simulations. Numerical experiments with the fuzzy controller resulted in generating a good performance.

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사출성형의 3차원 충전공정 해석 (Analysis of Three Dimensional Mold-Filling Process in Injection Molding)

  • 최권일;구본흥;차백순;박형필;이병옥
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2005년도 추계학술대회 논문집
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    • pp.269-272
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    • 2005
  • For the three decades, the mold-filling of injection molding process was modeled as Hele-Shaw model. However, this model can not consider the 3D effect. In this paper, numerical simulations of three dimensional mold-filling during the filling phase were performed. The governing equations were discretized by segregated finite element method, which used equal order interpolation for pressure and velocity fields. The iterative linear equation solver (JCG, SOR) was employed for the solution of the momentum and pressure equations. Volume of Fluid (VOF) was employed for the melt front advancement. To check the validity of the numerical results, the results were compared with the experimental ones. The agreements between the experiment and the numerical results were found to be satisfactory.

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수치해석 방법에 의한 2차원적인 MOS Transistor의 시뮬레이션에 관한 연구 (Two-Dimensional Simulation of MOS Transistors Using Numerical Method)

  • 정태성;경종민
    • 대한전자공학회논문지
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    • 제22권5호
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    • pp.93-101
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    • 1985
  • 다양한 채널 길이와 임의의 인가전압하의 MOS 트랜지스터를 2차원적으로 시뮬레이션 하기 위한 프로그램(SOMOS)을 제작하였다. Poisson의 방정식에 대하여는 Newton방법을, 연속방정식에 대하여는 발산정리를 이용하여 기본 수식들에 대한 유한차등법(FDM)에 따른 수식을 전개하였으며, 선형화된 수식의 해는 SOR 방법과 Cummel의 알고리즘을 이용하여 구했다. 하난의 동작상태의 소자를 시뮬레이션 하기 위한 시간은 VAX 11/780 컴퓨터를 사용했을때 인가전압 상태에 따라 30초 내지 4분 정도가 소요되었다. 인가전압과 전위분포에 따라 자동적으로 생성되는 그리드는 비균일한 간격을 가지며 필요에 따라 자동적으로 개선된다.

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SSOR-LIKE METHOD FOR AUGMENTED SYSTEMy

  • Liang, Mao-Lin;Dai, Li-Fang;Wang, San-Fu
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1463-1475
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    • 2011
  • This paper proposes a new generalized iterative method (SSOR-like method) for solving augmented system. A functional equation relating two involved parameters is obtained, and some convergence conditions for this method are derived. This paper generalizes some foregone results. Numerical examples show that, this method is efficient by suitable choices of the involved parameters.

A MIXED-TYPE SPLITTING ITERATIVE METHOD

  • Jiang, Li;Wang, Ting
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1067-1074
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    • 2011
  • In this paper, a preconditioned mixed-type splitting iterative method for solving the linear systems Ax = b is presented, where A is a Z-matrix. Then we also obtain some results to show that the rate of convergence of our method is faster than that of the preconditioned AOR (PAOR) iterative method and preconditioned SOR (PSOR) iterative method. Finally, we give one numerical example to illustrate our results.

FAST ONE-PARAMETER RELAXATION METHOD WITH A SCALED PRECONDITIONER FOR SADDLE POINT PROBLEMS

  • OH, SEYOUNG;YUN, JAE HEON
    • Journal of applied mathematics & informatics
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    • 제34권1_2호
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    • pp.85-94
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    • 2016
  • In this paper, we first propose a fast one-parameter relaxation (FOPR) method with a scaled preconditioner for solving the saddle point problems, and then we present a formula for finding its optimal parameter. To evaluate the effectiveness of the proposed FOPR method with a scaled preconditioner, numerical experiments are provided by comparing its performance with the existing one or two parameter relaxation methods with optimal parameters such as the SOR-like, the GSOR and the GSSOR methods.