• Title/Summary/Keyword: vector-matrix method

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Modified Multivariate $T^2$-Chart based on Robust Estimation (로버스트 추정에 근거한 수정된 다변량 $T^2$- 관리도)

  • 성웅현;박동련
    • Journal of Korean Society for Quality Management
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    • v.29 no.1
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    • pp.1-10
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    • 2001
  • We consider the problem of detecting special variations in multivariate $T^2$-control chart when two or more multivariate outliers are present. Since a multivariate outlier may reflect slippage in mean, variance, or correlation, it can distort the sample mean vector and sample covariance matrix. Damaged sample mean vector and sample covariance matrix have difficulty in examining special variations clearly, An alternative to detection outliers or special variations is to use robust estimators of mean vector and covariance matrix that are less sensitive to extreme observations than are the standard estimators $\bar{x}$ and $\textbf{S}$. We applied popular minimum volume ellipsoid(MVE) and minimum covariance determinant(MCD) method to estimate mean vector and covariance matrix and compared its results with standard $T^2$-control chart using simulated multivariate data with outliers. We found that the modified $T^2$-control chart based on the above robust methods were more effective in detecting special variations clearly than the standard $T^2$-control chart.

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Two dimensional variable-length vector storage format for efficient storage of sparse matrix in the finite element method (유한요소법에서 희소행렬의 효율적인 저장을 위한 2차원 가변길이 벡터 저장구조)

  • Boo, Hee-Hyung;Kim, Sung-Ho
    • Journal of the Korea Society of Computer and Information
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    • v.17 no.9
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    • pp.9-16
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    • 2012
  • In this paper, we propose the two dimensional variable-length vector storage format which can be used for efficient storage of sparse matrix in the FEM (finite element method). The proposed storage format is the method storing only actual needed non-zero values of each row on upper triangular matrix with the total rows N, by using two dimensional variable-length vector instead of $N{\times}N$ large sparse matrix of entire equation of finite elements. This method only needs storage spaces of the number of minimum 1 to maximum 5 in 2D grid structure and the number of minimum 1 to maximum 14 in 3D grid structure of analysis target. The number doesn't excess two times although involving index number. From the experimental result, we can find out that the proposed storage format can reduce the memory space more effectively, as the total number of nodes increases, than the existing skyline storage format storing maximum column height.

An Improved Predictive Control of an Induction Machine fed by a Matrix Converter for Torque Ripple Reduction (토크 리플 저감을 위한 매트릭스 컨버터 구동 유도 전동기의 향상된 예측 제어 기법)

  • Lee, Eunsil;Choi, Woo Jin;Lee, Kyo-Beum
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.7
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    • pp.662-668
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    • 2015
  • This paper presents an improved predictive control of an induction machine fed by a matrix converter using N-switching vectors as the control action during a complete sampling period of the controller. The conventional model predictive control scheme based matrix converter uses a single switching vector over the same period which introduces high torque ripple. The proposed switching scheme for a matrix converter based model predictive control of an induction machine drive selects the appropriate switching vectors for control of electromagnetic torque with small variations of the stator flux. The proposed method can reduce the ripple of the electrical variables by selecting the switching state as well as the method used in the space vector modulation techniques. Simulation results are presented to verify the effectiveness of the improved predictive control strategy for induction machine fed by a matrix converter.

Validation on Residual Variation and Covariance Matrix of USSTRATCOM Two Line Element

  • Yim, Hyeon-Jeong;Chung, Dae-Won
    • Journal of Astronomy and Space Sciences
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    • v.29 no.3
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    • pp.287-293
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    • 2012
  • Satellite operating agencies are constantly monitoring conjunctions between satellites and space objects. Two line element (TLE) data, published by the Joint Space Operations Center of the United States Strategic Command, are available as raw data for a preliminary analysis of initial conjunction with a space object without any orbital information. However, there exist several sorts of uncertainties in the TLE data. In this paper, we suggest and analyze a method for estimating the uncertainties in the TLE data through mean, standard deviation of state vector residuals and covariance matrix. Also the estimation results are compared with actual results of orbit determination to validate the estimation method. Characteristics of the state vector residuals depending on the orbital elements are examined by applying the analysis to several satellites in various orbits. Main source of difference between the covariance matrices are also analyzed by comparing the matrices. Particularly, for the Korea Multi-Purpose Satellite-2, we examine the characteristics of the residual variation of state vector and covariance matrix depending on the orbital elements. It is confirmed that a realistic consideration on the space situation of space objects is possible using information from the analysis of mean, standard deviation of the state vector residuals of TLE and covariance matrix.

Wideband adaptive beamforming method using subarrays in acoustic vector sensor linear array (부배열을 이용한 음향벡터센서 선배열의 광대역 적응빔형성기법)

  • Kim, Jeong-Soo;Kim, Chang-Jin;Lee, Young-Ju
    • The Journal of the Acoustical Society of Korea
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    • v.35 no.5
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    • pp.395-402
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    • 2016
  • In this paper, a wideband adaptive beamforming approach for an acoustic vector sensor linear array is presented. It is a very important issue to estimate the stable covariance matrix for adaptive beamforming. In the conventional wideband adaptive beamforming based on coherent signal-subspace (CSS) processing, the error of bearing estimates is resulted from the focusing matrix estimation and the large number of data snapshot is necessary. To alleviate the estimation error and snapshot deficiency in estimating covariance matrix, the steered covariance matrix method in the pressure sensor is extended to the vector sensor array, and the subarray technique is incorporated. By this technique, more accurate azimuth estimates and a stable covariance matrix can be obtained with a small number of data snapshot. Through simulation, the azimuth estimation performance of the proposed beamforming method and a wideband adaptive beamforming based on CSS processing are assessed.

Analysis of 3-phase Induction Motor considering Current Regulator using DQ Transformation with Matrix Vector

  • Hong, Sun-Ki;Na, Yoo-Chung
    • Journal of international Conference on Electrical Machines and Systems
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    • v.3 no.2
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    • pp.116-120
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    • 2014
  • 3-phase Induction machines are being used in industry and dq transformation from 3 phase of a, b, c is commonly used to analyze these machines. The equivalent circuits of d and q axis are however generally cross coupled and not simple to analyze. In this study, an analysis method of 3ph induction motor considering current regulator using dq transformation and matrix vector is proposed and it can explain the 3ph induction motor physically. This model does not need the separating process of d and q components. With this technique, the model becomes simple, is easy to understand in physical, and can get the same results with those from the other dq models. These simulation results of the proposed model are compared with those of other models for the conformation of the proposed method.

The Improvements of Vehicle Vibration Characteristics Using Modal Contribution (모우드 기여도 분석을 이용한 차량의 진동특성 개선)

  • 안지훈;지상현;고병식
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.51-56
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    • 1998
  • This paper presents modal contribution method to reduce vehicle vibration. Normal mode analysis is performed to obtain modal vector matrix. The proposed method uses this modal vector matrix to evaluate forced response of an active mode to the applied engine forces and the rotating force due to wheel unbalance mass. Comparing the responses, of the specific active mode with one another, it can be easily done to determine most contributed mode in the interesting frequency band. Then we can find dominant bushes by the strain energy distribution of the mode. Vibration response is decrease with modification of those bushes.

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Vector and Scalar Modes in Coherent Mode Representation of Electromagnetic Beams

  • Kim, Ki-Sik
    • Journal of the Optical Society of Korea
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    • v.12 no.2
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    • pp.103-106
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    • 2008
  • It is shown that the two mode representations, one with vector modes and the other with scalar modes, for the cross spectral density matrices of electromagnetic beams are equivalent to each other. In particular, we suggest a method to find the vector modes from the scalar modes and formulate the cross spectral density matrix as a correlation matrix.

A Study on Space Vector Modulation Method to Improve Input Power Factor of Matrix Converter (매트릭스 컨버터의 입력 역률 향상을 위한 공간벡터변조기법에 관한 연구)

  • Nguyen, Hoang M.;Lee, Hong-Hee;Chun, Tae-Won
    • The Transactions of the Korean Institute of Power Electronics
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    • v.13 no.6
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    • pp.476-486
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    • 2008
  • It is very important to design the input filter optimally in matrix converters. But, the input power factor is deteriorated in spite of the optimal filter design due to the existence of inductor and capacitor included in the filter, and it is hard to keep high power factor in the whole operating range which is one of the major advantages of the matrix converters because the power factor is changed according to the output frequency and the load current. In this paper, we introduce the new space vector modulation method which can preserve the input power factor almost unity even though the output load or the output frequency is varied. It is also presented how to implement the proposed method effectively.

A Carrier-Based Pulse Width Modulation Method for Indirect Matrix Converters

  • Nguyen, Dinh-Tuyen;Lee, Hong-Hee;Chun, Tae-Won
    • Journal of Power Electronics
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    • v.12 no.3
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    • pp.448-457
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    • 2012
  • This paper proposes a carrier-based pulse width modulation (PWM) method to control an indirect matrix converter (IMC) by analyzing the relationship between the space vector PWM (SVPWM) and the carrier-based PWM. The complexity of the SVPWM method for an IMC can be reduced by using an equivalent carrier-based PWM method. The advantage of the proposed algorithm is its ability use only one symmetrical triangular carrier signal to generate the gate signals for all of the power switches in both the rectifier and inverter stages as compared to the conventional method where the carrier signal used in the rectifier stage is different from that of the inverter stage. In addition, by using a suitable offset voltage component in the modulation signals, the output voltage magnitude reaches 0.866 of the input voltage magnitude. Simulation and experimental results are provided in order to validate the proposed method.