• Title/Summary/Keyword: distribution matrix

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On Testing Equality of Matrix Intraclass Covariance Matrices of $K$Multivariate Normal Populations

  • Kim, Hea-Jung
    • Communications for Statistical Applications and Methods
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    • v.7 no.1
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    • pp.55-64
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    • 2000
  • We propose a criterion for testing homogeneity of matrix intraclass covariance matrices of K multivariate normal populations, It is based on a variable transformation intended to propose and develop a likelihood ratio criterion that makes use of properties of eigen structures of the matrix intraclass covariance matrices. The criterion then leads to a simple test that uses an asymptotic distribution obtained from Box's (1949) theorem for the general asymptotic expansion of random variables.

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Design and Characterization of a Reactor for Matrix Type SFCLs Using Electromagnetic Field Analysis (전자장 해석을 통한 매트릭스형 한류기용 리액터 설계 및 특성해석)

  • Chung, Dong-Chul;Yun, Chang-Hun;Choi, Hyo-Sang
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.58 no.2
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    • pp.227-230
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    • 2009
  • In this paper, we performed the optimum design of reactors for matrix-type superconducting-fault current limiters (SFCLs), using electromagnetic analysis tools. We decided a optimun position within a reactor for superconducting elements of current-limiting parts and trigger parts from the calculation of magnetic flux internsity for reactor structures. Also we decided effective distance length between two reactors through the analysis of the distribution of magnetic field, according to distance lengths between them. We designed and characterized matrix-type SFCLs, based on our optimum design of a reactor. We confirmed uniform distribution of a fault current, resulted from the improvement of simultaneous quench characteristics within our matrix-type SFCL.

An Estimation Method of the Covariance Matrix for Mobile Robots' Localization (이동로봇의 위치인식을 위한 공분산 행렬 예측 기법)

  • Doh Nakju Lett;Chung Wan Kyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.5
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    • pp.457-462
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    • 2005
  • An empirical way of a covariance matrix which expresses the odometry uncertainty of mobile robots is proposed. This method utilizes PC-method which removes systematic errors of odometry. Once the systematic errors are removed, the odometry error can be modeled using the Gaussian probability distribution, and the parameters of the distribution can be represented by the covariance matrix. Experimental results show that the method yields $5{\%}$ and $2.3{\%}$ offset for the synchro and differential drive robots.

A Discretization Algorithm for Bi-Matrix Game Approach to Power Market Analysis (전력시장 해석을 위한 Bi-matrix 게임의 이산화 알고리즘)

  • 이광호
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.1
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    • pp.62-67
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    • 2003
  • An important aspect of the study of power system markets involves the assessment of strategic behavior of participants for maximizing their profits. In models of imperfect competition of a deregulated electricity system, the key task is to find the Nash equilibrium. In this paper, the bimatrix approach for finding Nash equilibria in electricity markets is investigated. This approach determines pure and mixed equilibria using the complementarity pivot algorithim. The mixed equilibrium in the matrix approach has the equal number of non-zero property. This property makes it difficult to reproduce a smooth continuous distribution for the mixed equilibrium. This paper proposes an algorithm for adjusting the quantization value of discretization to reconstruct a continuous distribution from a discrete one.

An Algorithm for Searching On-Off Valves to Isolate a Subsystem in a Water Distribution System (상수관망의 부분적 차폐를 위해 필요한 제수밸브 결정 알고리즘)

  • Jun, hwan-don;Park, moo-jong;Lee, jong-seok
    • Proceedings of the Korea Contents Association Conference
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    • 2008.05a
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    • pp.771-775
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    • 2008
  • Concerns related to protecting, identifying, and isolating of subsystems of a water distribution network have led to the realization of the increased importance of valves in the system. The most important purpose of valves in water distribution systems is to isolate subsystems due to breakage, maintenance activities, or contamination. A subsystem called segment is isolated by the closure of adjacent valves and an efficient algorithm should identify the adjacent valves to minimize the pipe failure impact. In this paper, an algorithm to identify adjacent valves to be closed to isolate a subsystem from the remainder of a network in case of a pipe failure is presented. An application to the water distribution system in Ottawa, Canada demonstrates the developed algorithm efficiently locates the adjacent valves for the isolation of a broken pipe.

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Controlling the Intensity Distribution of Light at the Output of a Multimode Optical Fiber Using a Polar-coordinate-based Transmission-matrix Method (극좌표 기반 투과 매트릭스 방법을 이용한 다중모드 광섬유 출력단에서의 빛의 세기 분포 제어)

  • Park, Jaedeok;Jo, Jaepil;Yoon, Jonghee;Yeom, Dong-Il
    • Korean Journal of Optics and Photonics
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    • v.33 no.6
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    • pp.252-259
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    • 2022
  • We have conducted a study to control the light-intensity distribution at the output end of a multimode optical fiber via estimating the transmission matrix. A circularly arranged Hadamard eigenmode phase distribution was implemented using a spatial light modulator, and the transmission matrix of a multimode optical fiber was experimentally obtained using a four-phase method. Based on the derived transmission matrix, the spatial phase distribution of light incident upon the optical fiber was adjusted via the spatial light modulator in advance, to focus the light at a desired position at the optical fiber output. The light could be focused with an intensity up to 359.6 times as high as that of the surrounding background signal at a specific position of the multimode fiber's output end, and the intensity of the focused beam was on average 104.6 times as large as that of the background signal, across the area of the multimode fiber's core.

A Study on Fabrication of Ti Matrix Composites by Liquid Phase Diffusion Bonding (액상확산접합법을 이용한 Ti 금속기복합재료 제조에 관한 연구)

  • Kim, Gyeong-Mi;U, In-Su;Gang, Jeong-Yun;Lee, Sang-Rae
    • Korean Journal of Materials Research
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    • v.6 no.2
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    • pp.210-220
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    • 1996
  • The purpose of this study is to develop the processing techniques of Fiber Reinforced Metal by Liquid Phase Diffusion Bonding method with SiC fiber as a reinforcing material and CP Ti(Commercial Pure) as a matrix. The microstructure and the distribution of elements in reaction and CP Ti(Commercial Pure) as a matrix. The microstructure and the distribution of elements is reaction zone among CP Ti/Ti-15wt%Cu-20wt%Ni(TCN20)/SiC long fiber were investigated by Optical Microscope, SEM/EDX, EPMA, X-ray and AES. The results obtained in this study are as follows. 1) When Ti matrix composite materials are fabricated under the bonding condition of 1273Kx1200sec, the SiC long fiber was the most suitable reinforcing material for Ti matrix composite materials. 2) With SiC long fiber under same condition, a TiC layer(1.0-1.6$\mu\textrm{m}$) was observed on the surface of SiC long fiber. 3) Liquid Phase Diffusion Bonding has shown the feasibility of production of Ti matrix composite materials.

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Fracture Characteristics of Finite-Width CFRP Plates by Acoustic Emission (AE법에 의한 유한 폭 CFRP 판재의 파괴특성)

  • Park, Sung-Oan;Rhee, Zhang-Kyu
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.16 no.3
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    • pp.125-132
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    • 2007
  • The purpose of present paper is to investigate a fracture characteristics of the finite-width single-edge-notch(SEN) carbon fiber/epoxy reinforced plastics(CFRP) plates by using an acoustic emission(AE). Uni-directionally oriented 10 plies CFRPs specimen which had different notch length were prepared for monotonic tensile test. Matrix cracking appeared over whole testing process and fiber breaking appeared later on mainly Load distribution factor of the matrix confirmed that increased according as increases of plate width ratio. The amplitude distribution of AE signal from a specimens is an aid to the determination of the different fracture mechanism such as matrix cracking, disbonding, interfacial delamination, fiber pull-out, fiber breaking, and etc. In the result of AE amplitude distribution analysis, matrix cracking, fiber disbonding or interfacial delamination, and fiber pull-out or fiber breaking signal correspond to <65dB, <75dB, and <90dB respectively, Also, changes of the slope of cumulative AE energy represented crazing phenomena or degradation of materials.

An Algorithm for Searching On-Off Valves to Isolate a Subsystem in a Water Distribution System (상수관망의 부분적 격리를 위한 제수밸브 탐색 알고리듬)

  • Jun, Hwan Don;Kim, Joong Hoon
    • Journal of Korean Society of Water and Wastewater
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    • v.20 no.1
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    • pp.35-43
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    • 2006
  • Concerns related to protecting, identifying, and isolating of subsystems of a water distribution network have led to the realization of the increased importance of valves in the system. The most important purpose of valves in water distribution systems is to isolate a subsystem due to breakage, maintenance activities, or contamination. A subsystem called segment is isolated by the closure of adjacent valves. Minimizing the pipe failure impact, an efficient algorithm is required to identify adjacent valves quickly. In this paper, an algorithm to identify adjacent valves to be closed to isolate a subsystem from the remainder of a network when a pipe failure is presented. The algorithm is operated on a matrix called the valve location matrix containing the information of valve locations. An application to an existing water distribution system demonstrates the developed algorithm efficiently locates the adjacent valves for the isolation of a broken pipe.

New Fault Location Algorithms by Direct Analysis of Three-Phase Circuit Using Matrix Inverse Lemma for Unbalanced Distribution Power Systems

  • Park, Myeon-Song;Lee, Seung-Jae
    • KIEE International Transactions on Power Engineering
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    • v.3A no.2
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    • pp.79-84
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    • 2003
  • Unbalanced systems, such as distribution systems, have difficulties in fault locations due to single-phase laterals and loads. This paper proposes new fault locations developed by the direct three-phase circuit analysis algorithms using matrix inverse lemma for the line-to-ground fault case and the line-to-line fault case in unbalanced systems. The fault location for balanced systems has been studied using the current distribution factor, by a conventional symmetrical transformation, but that for unbalanced systems has not been investigated due to their high complexity. The proposed algorithms overcome the limit of the conventional algorithm using the conventional symmetrical transformation, which requires the balanced system and are applicable to any power system but are particularly useful for unbalanced distribution systems. Their effectiveness has been proven through many EMTP simulations.