• 제목/요약/키워드: orthogonal coordinate

검색결과 129건 처리시간 0.022초

Research on a Multi-level Space Vector Modulation Strategy in Non-orthogonal Three-dimensional Coordinate Systems

  • Zhang, Chuan-Jin;Wei, Rui-Peng;Tang, Yi;Wang, Ke
    • Journal of Power Electronics
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    • 제17권5호
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    • pp.1160-1172
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    • 2017
  • A novel space vector modulation strategy in the non-orthogonal three-dimensional coordinate system for multi-level three-phase four-wire inverters is proposed in this paper. This new non-orthogonal three-dimensional space vector modulation converts original trigonometric functions in the orthogonal three-dimensional space coordinate into simple algebraic operations, which greatly reduces the algorithm complexity of three-dimensional space vector modulation and preserves the independent control of the zero-sequence component. Experimental results have verified the correctness and effectiveness of the proposed three-dimensional space vector modulation in the new non-orthogonal three-dimensional coordinate system.

비직교좌표계에 대한 P-1 근사법 및 유한체적법을 이용한 주유동 중의 원형실린더 주위의 복사열전달 해석 (Analysis of Radiative Heat Transfer about a Circular Cylinder in a Crossflow by P-l Approximation and Finite Volume Method in Non-Orthogonal Coordinate System)

  • 이공훈;이준식;최만수
    • 대한기계학회논문집
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    • 제19권3호
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    • pp.806-819
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    • 1995
  • A study of radiative heat heat transfer has been done in the non-orthogonal coordinate system utilizing the finite volume method and the P.1 approximation. Radiation of absorbing, emitting and scattering media in a concentric annulus has been solved using the non-orthogonal coordinate and the calculations were compared with the existing results. The results obtained from the analysis using the finite volume method are in good agreement with the existing calculations for all optical thicknesses. It was also shown that for only optically thick cases, P-1 approximation can be used in a non-orthogonal coordinate. Convective heat transfer analysis has been carried out to obtain the temperature fields in a cross flow around a circular cylinder and the finite volume method was applied in the non-orthogonal coordinate system to analyze radiative heat transfer. Effects of the optical thickness, the ratio of the surface temperature of the cylinder tot he free stream temperature, and the scattering albedo on radiation have been presented.

Analysis of 2-Dimensional Shallow Water Equations Using Multigrid Method and Coordinate Transformation

  • Lee, Jong-Seol;Cho, Won-Cheol
    • International Union of Geodesy and Geophysics Korean Journal of Geophysical Research
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    • 제26권1호
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    • pp.1-14
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    • 1998
  • Various numerical methods for the two dimensional shallow water equations have been applied to the problems of flood routing, tidal circulation, storm surges, and atmospheric circulation. These methods are often based on the Alternating Direction Implicity(ADI) method. However, the ADI method results in inaccuracies for large time steps when dealing with a complex geometry or bathymetry. Since this method reduces the performance considerably, a fully implicit method developed by Wilders et al. (1998) is used to improve the accuracy for a large time step. Finite Difference Methods are defined on a rectangular grid. Two drawbacks of this type of grid are that grid refinement is not possibile locally and that the physical boundary is sometimes poorly represented by the numerical model boundary. Because of the second deficiency several purely numerical boundary effects can be involved. A boundary fitted curvilinear coordinate transformation is used to reduce these difficulties. It the curvilinear coordinate transformation is used to reduce these difficulties. If the coordinate transformation is orthogonal then the transformed shallow water equations are similar to the original equations. Therefore, an orthogonal coorinate transformation is used for defining coordinate system. A multigrid (MG) method is widely used to accelerate the convergence in the numerical methods. In this study, a technique using a MG method is proposed to reduce the computing time and to improve the accuracy for the orthogonal to reduce the computing time and to improve the accuracy for the orthogonal grid generation and the solutions of the shallow water equations.

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역압력 구배가 있는 난류유동에 대한 수치적 연구 (A numerical study of turbulent flows with adverse pressure gradient)

  • 김형수;정태선;최영기
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.668-676
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    • 1991
  • Turbulent flows around tube banks and in the diffuser were studied using a non-orthogonal boundary fitted coordinate system and the modified K-.epsilon. turbulence model. In these cases, many problems emerge which stem from the geometrical complexity of the flow domain and the physical complexity of turbulent flow itself. To treat the complex geometry, governing equations were reformulated in a non-orthogonal coordinate system with Cartesian velocity components and discretised by the finite volume method with a non-staggered variable arrangement. The modified K-.epsilon. model of Hanjalic and Launer was applied to solve above two cases under the condition of strong and mild pressure gradient. The results using the modified K-.epsilon. model results in both test cases.

구속된 다물체 시스템에 대한 운동 방정식의 미분 방정식화 및 동역학 해석 (A Formulation of the Differential Equation on the Equations of Motion and Dynamic Analysis for the Constrained Multibody Systems)

  • 이동찬;이상호;한창수
    • 한국자동차공학회논문집
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    • 제5권1호
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    • pp.154-161
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    • 1997
  • This paper presents the method to eliminate the constraint reaction in the Lagrange multiplier form equation of motion by using a generalized coordinate driveder from the velocity constraint equation. This method introduces a matrix method by considering the m dimensional space spanned by the rows of the constraint jacobian matrix. The orthogonal vectors defining the constraint manifold are projected to null vectors by the tangential vectors defined on the constraint manifold. Therefore the orthogonal projection matrix is defined by the tangential vectors. For correcting the generalized position coordinate, the optimization problem is formulated. And this correction process is analyzed by the quasi Newton method. Finally this method is verified through 3 dimensional vehicle model.

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공간적으로 좌표 재배열된 직교 설계 기반의 대역 효율적인 상호협력 통신 기법 (Bandwidth-Efficient Mutually Cooperative Relaying with Spatially Coordinate-Interleaved Orthogonal Design)

  • 류현석;강충구
    • 한국통신학회논문지
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    • 제34권11A호
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    • pp.815-821
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    • 2009
  • 본 논문에서는 두 명의 상호협력 사용자가 추가적인 대역을 사용하지 않고도 서로의 데이터를 공간적으로 다중화 할 수 있는, 공간적으로 좌표 재배열된 직교 설계 기반의 새로운 상호협력 통신 기법을 제안한다. 제안하는 기법은 기존의 상호협력 통신기법에 비해 다이버시티 이득 (다이버시티 이득 2) 뿐만 아니라 추가적인 코딩 이득을 얻을 수 있음을 보인다. 상호협력 통신에 참여하는 특정 사용자 노드가 자신과 짝을 이루어 동일한 목적지 노드(즉, 셀룰러 네트워크에서의 기지국)와 통신할 수 있는 또 다른 사용자 노드를 찾을 수만 있다면, 제안하는 기법을 통해 셀룰러 네트워크에서 상향링크의 비트 오류율 성능을 향상시킬 수 있음을 시뮬레이션 결과를 통해 확인한다.

근사직교 경계고정 곡선좌표계를 사용한 수치적 격자생성 (The numerical grid generation using the nearly orthogonal boundary-fitted curvilinear coordinate systems)

  • 맹주성;신종균
    • 대한기계학회논문집
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    • 제12권3호
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    • pp.561-565
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    • 1988
  • 본 연구에서는 제어함수를 수식으로부터 유도하여 자동적인 격자간격제어가 가능한 "근사직교 경계고정곡선좌표계"를 생성하는 새로운 방법을 제시하여 2차원영역 에 대한 그 적용을 논의하고자 한다. 논의하고자 한다.

회전 변환 정사각 신호 성좌에 적용한 낮은 PAPR의 CIOD 전송방식 (Low PAPR CIOD for the Rotated Square QAM Constellation)

  • 김창중;이호경
    • 대한전자공학회논문지TC
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    • 제49권8호
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    • pp.65-69
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    • 2012
  • 회전 변환된 정사각 QAM 신호 성좌를 클리핑하여 좌표 축 인터리브 된 직교 설계(Coordinate Interleaved Orthogonal Design; CIOD)에 적용되는 낮은 최대 전력 대비 평균 전력 비(Peak-to-Average-Power Ratio; PAPR)을 가지는 신호 성좌를 설계한다. 본 논문에서 제안하는 신호 성좌는 기존의 회전 변환된 정사각 QAM 신호 성좌에 비해 매우 낮은 PAPR을 가질 뿐 아니라, 기존의 신호 성좌와 거의 동일한 비트 오율(Bit Error Rate; BER) 성능을 가진다.

유한체적법에 의한 복잡한 형상을 갖는 3차원 가스터빈 연속기내의 복사열 전달 해석 (Prediction of Radiative Heat Transfer in a Three-Dimensional Gas Turbine Combustor with the Finite-Volume Method)

  • 김만영;백승욱
    • 대한기계학회논문집B
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    • 제20권8호
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    • pp.2681-2692
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    • 1996
  • The finite-volume method for radiation in a three-dimensional non-orthogonal gas turbine combustion chamber with absorbing, emitting and anisotropically scattering medium is presented. The governing radiative transfer equation and its discretization equation using the step scheme are examined, while geometric relations which transform the Cartesian coordinate to a general body-fitted coordinate are provided to close the finite-volume formulation. The scattering phase function is modeled by a Legendre polynomial series. After a benchmark solution for three-dimensional rectangular combustor is obtained to validate the present formulation, a problem in three-dimensional non-orthogonal gas turbine combustor is investigated by changing such parameters as scattering albedo, scattering phase function and optical thickness. Heat flux in case of isotropic scattering is the same as that of non-scattering with specified heat generation in the medium. Forward scattering is found to produce higher radiative heat flux at hot and cold wall than backward scattering and optical thickness is also shown to play an important role in the problem. Results show that finite-volume method for radiation works well in orthogonal and non-orthogonal systems.

Nakagami-m 페이딩 채널에서 GCIODs로 얻은 STBCs의 에르고딕 용량에 대한 연구 (On the Ergodic Capacity of STBCs from GCIODs over Nakagami-m Fading Channels)

  • 이후진;정영모
    • 한국통신학회논문지
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    • 제35권5C호
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    • pp.415-422
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    • 2010
  • 본 논문에서는 주파수 비선택성이고 준정적인 동일 분포 독립 Nakagami-m 페이딩 채널에서 GLCODs(Generalized Linear Complex Orthogonal Designs)와 GCIODs(Generalized Coordinate Interleaved Orthogonal Designs)로 얻은 STBCs(Space-Time Block Codes)의 에르고딕 용량을 Meijer의 G함수로 표현되는 닫힌꼴로 유도한다. 유도된 해석적 결과는 Monte-Carlo 모의실험 결과와 매우 잘 일치함을 보였다. 그러므로 대규모 Monte-Carlo 모의실험 없이 다양한 안테나 구성과 상이한 채널환경에서 GLCODs와 GCIODs로 얻은 STBCs의 에르고딕 용량 성능을 분석하고 예측하는 유용한 기법이 제안되었다고 할 수 있다. 마지막에는 유도된 식의 정확도를 입증하는 수치적인 결과들을 제시한다.