• Title/Summary/Keyword: 변환 행열

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PCB Board Impedance Analysis Using Similarity Transform for Transmission Matrix (전송선로행열에 대한 유사변환을 이용한 PCB기판 임피던스 해석)

  • Suh, Young-Suk
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.10
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    • pp.2052-2058
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    • 2009
  • As the operating frequency of digital system increases and voltage swing decreases, an accurate and high speed analysis of PCB board becomes very important. Transmission matrix method, which use the multiple products of unit column matrix, is the highest speedy method in PCB board analysis. In this paper a new method to reduce the calculation time of PCB board impedances is proposed. First, in this method the eigenvalue and eigenvectors of the transmission matrix for unit column of PCB are calculated and the transmission matrix for the unit column is transformed using similarity transform to reduce the number of multiplication on the matrix elements. This method using the similarity transform can reduce the calculation time greatly comparing the previous method. The proposed method is applied to the 1.3 inch by 1.9 inch board and shows about 10 times reduction of calculation time. This method can be applied to the PCB design which needs a lots of repetitive calculation of board impedances.

Load flow applied for improved Newton-Raphson method (수정 뉴톤-랍손법을 적용한 조류 계산)

  • Kim, K.J.;Eum, J.S.;Choi, Ch.H.;Jang, K.Ch.;Chung, D.W.
    • Proceedings of the KIEE Conference
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    • 1997.07c
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    • pp.1094-1096
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    • 1997
  • 이제까지 전력계통의 상태를 알기 위한 조류계산은 전력방정식에 대한 직접적인 풀이로써 이루어졌다. 그런데 만일 자코비안 행열이 singular나 유사 singular가 된다면 그 전력 방정식의 해를 구할 수가 없게 된다. singular나 유사 singular가 되는 자코비안 행열을 가지는 전력방정식을 풀기 위하여 보조 방정식을 추가하여 미분불능인 점을 미분가능으로 변환하는 continuous method가 있다. 그런데 continuous method에서 보조 방정식은 원함수의 성질에 따라 달라지므로 어떤 일반적인 형태를 가지지 않는다. 따라서 본 논문에서는 전력방정식을 제약조건으로 가지고 부하 모선의 전력이 수용가의 요구량과 거의 일치되도록 하는 것을 목적 함수로 하는 최적화 문제로 조류계산을 변환하여 풀이하였다. 이러한 최적화 기법을 이용함으로써 continuous method에서 보조방정식이 원함수에 따라 계속적으로 변하는 문제를 개선하였다.

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Mode Conversion in Magneto-Optic Thin-Film Waveguides (광도파관에서 자성박막에 의한 모드 변환)

  • 정상구;임한주
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.20 no.6
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    • pp.52-57
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    • 1983
  • We report a theoretical study on wave propagation in magneto-optic thin-film waveguides. The field distribution and phase velocity of the guided hybrid modes are analyzed in terms of the phase difference of basic system modes and the Faraday rotation of the magneto-optic thin film. Splitting of the phase constant curves due to the F araday rotation is discussed. The present hybridmode analysis leads to a conversion matrix which shows that the distance dependence of the mode conversion in the guide is different from that in the bulk medium.

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A Study on the Reliability Evaluation of Communication Networks by Matrix Transformation (행열변현에 의한 통신망의 신뢰도 계정에 관한 연구)

  • 김영근;오영환
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.13 no.5
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    • pp.379-389
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    • 1988
  • In this paper, an algorithm for obtaining 2-state switching failure function and a terminal pair reliability evaluation method in a communication network are proposed. The communication network is modeled by a graph. By using the sequence of matrix transformations for the graph, minimal cut-set matrix representing all minimal cut-sets which completely interrupt the communication path is determined and 2-state switching failure function is then obtained from the minimal cut-set matrix. The terminal pari reliability of the communication network is evaluated by corresponding the random variables to 2-state switching failure function. Illustrative examples are provided to demonstrate the algorithm. A computer program evaluating the terminal pair reliability in a complex and large network has also been developed.

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A Three-Dimensional Galerkin-FEM Model Using Similarity Transform Technique (유사변환기법을 이용한 Galerkin-FEM모델)

  • 강관수;소재귀;정경태
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.2
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    • pp.174-185
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    • 1994
  • This paper presents a modal solution of linear three-dimensional hydrodynamic equations using similarity transform technique. The solution over the vertical space domain is obtained using the Galerkin method with linear shape funtions (Galerkin-FEM model). Application of similarity transform to resulting tri-diagonal matrix equations gives rise 掠 a set of uncoupled partial differential equations of which the unknowns are coefficients of mode shape vectors. The proposed method.

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Developing a Three-dimensional Spectral Model Using Similarity Transform Technique (유사변환기법을 이용한 3차원 모델의 개발)

  • Kang, Kwan-Soo;So, Jae-Kwi;Jung, Kyung-Tae;Sonu, Jung Ho
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.2
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    • pp.107-120
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    • 1993
  • This paper presents a new modal solution of linear three-dimensional hydrodynamic equations using similarity transform technique. The governing equations are first separated into external and internal mode equations. The solution of the internal mode equation then proceeds as in previous modal models using the Galerkin method but with expansion of arbitrary basis functions. Application of similarity transform to resulting full matrix equations gives rise to a set of uncoupled partial differential equations of which the unknowns are coefficients of mode vector. Using the transform technique a computationally efficient time integration is possible. In present from the model use Chebyshev polynomials for Galerkin solution of internal mode equations. To examine model performance the model is applied to a homogeneous, rectangular basin of constant depth under steady, uniform wind field.

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TE-TM Mode Conversion in Thin- Film Optical Wave-guides with Gyrotropic and Anisotropic Materials (박막형 광도파관에서 이방성 매질에 의한 TE-TM 모드 변환)

  • 정상구;원영희
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.19 no.6
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    • pp.17-32
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    • 1982
  • Wave propagation in gyrotropic or anisotropic medium is analyzed in terms of the eigenmodes of the medium, which are admixture of TE and TM waves. The field composition and the phase velocity of the modes are also determined. The results of the analysis are applied to thin film optical waveguide using such medium as substrate and/or film. Based on the characteristic equations for phase constants of the waveguide, the condition for TE-TM mode convection is derived, and wave propagation in the guide is represented in the form of Jones matrix, which allows a new interpretation in the conversion efficiency of the thin-film optical waveguides.

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An Accelerated Iterative Method for the Dynamic Analysis of Multibody Systems (반복 계산법 및 계산 가속기법에 의한 다물체 동역학 해법)

  • 이기수;임철호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.5
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    • pp.899-909
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    • 1992
  • An iterative solution technique is presented to analyze the dynamic systems of rigid bodies subjected to kinematic constraints. Lagrange multipliers associated with the constraints are iteratively computed by monotonically reducing an appropriately defined constraint error vector, and the resulting equation of motion is solved by a well-established ODE technique. Constraints on the velocity and acceleration as well as the position are made to be satisfied at joints at each time step. Time integration is efficiently performed because decomposition or orthonormalization of the large matrix is not required at all. An acceleration technique is suggested for the faster convergence of the iterative scheme.

A Study on the Axial stiffness of Bellows (벨로즈의 종방향 강성에 관한 연구)

  • 왕지석
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.4
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    • pp.504-513
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    • 1999
  • Usually bellows are designed for the purpose of absorbing axial movement. To find out axial stiffness of bellows the axisymmetric shell theory using the finite element method is adopted in this paper. Bellows can be idealised by series of conical frustum-shaped elements because it is axisymmetric shell structure. The force required to deflect bellows axilly is a function of the dimensions of the bellows and the materials from which they are made. The displancements of nodal points due to small increment of force are calculated by the finite element method and the calculated nodal displacements are added to r-z cylinderical coordinates of nodal points. The new stiffness matrix of the system using the new coordinates of nodal points is adopted to calculate the another increments of nodal dis-placements that is the step by method is used in this paper. spring constant is analyzed according to the changing geometric factors of u-shaped bellows. The FEM results were agreed with experiment. Using developed FORTRAN PROGRAM spring constant can be predicted by input of a few factors.

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A Study on the Deformation Behaviour of Bellows Subjected to Internal Pressure (내압을 받는 벨로즈의 변형 거동에 관한 연구)

  • 왕지석
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.5
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    • pp.702-710
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    • 1999
  • U-shaped bellows are usually used to piping system pressure sensor and controller for refriger-ator. Bellows subjected to internal pressure are designed for the purpose of absorbing deformation. Internal pressure on the convolution sidewall and end collar will be applied to an axial load tend-ing to push the collar away from the convolutions. To find out deformation behavior of bellow sub-jected to internal pressure the axisymmetric shell theory using the finite element method is adopted in this paper. U-shaped bellows can be idealized by series of conical frustum-shaped ele-ments because it is axisymmetric shell structure. The displacements of nodal points due to small increment of force are calculated by the finite element method and the calculated nodal displace-ments are added to r-z cylindrical coordinates of nodal points. The new stiffness matrix of the sys-tem using the new coordinates of nodal points is adopted to calculate the another increments of nodal displacement that is the step by step method is used in this paper. The force required to deflect bellows axially is a function of the dimensions of the bellows and the materials from which they are made. Spring constant is analyzed according to the changing geometric factors of U-shaped bellows. The FEM results were agreed with experiment. Using developed FORTRAN PROGRAM the internal pressure vs. deflection characteristics of a particu-lar bellows can be predicted by input of a few factors.

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