• Title/Summary/Keyword: eigenvalue analysis

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Reactor core analysis through the SP3-ACMFD approach Part II: Transient solution

  • Mirzaee, Morteza Khosravi;Zolfaghari, A.;Minuchehr, A.
    • Nuclear Engineering and Technology
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    • v.52 no.2
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    • pp.230-237
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    • 2020
  • In this part, an implicit time dependent solution is presented for the Boltzmann transport equation discretized by the analytic coarse mesh finite difference method (ACMFD) over the spatial domain as well as the simplified P3 (SP3) for the angular variable. In the first part of this work we proposed a SP3-ACMFD approach to solve the static eigenvalue equations which provide the initial conditions for temp dependent equations. Having solved the 3D multi-group SP3-ACMFD static equations, an implicit approach is resorted to ensure stability of time steps. An exponential behavior is assumed in transverse integrated equations to establish a relationship between flux moments and currents. Also, analytic integration is benefited for the time-dependent solution of precursor concentration equations. Finally, a multi-channel one-phase thermal hydraulic model is coupled to the proposed methodology. Transient equations are then solved at each step using the GMRES technique. To show the sufficiency of proposed transient SP3-ACMFD approximation for a full core analysis, a comparison is made using transport peers as the reference. To further demonstrate superiority, results are compared with a 3D multi-group transient diffusion solver developed as a byproduct of this work. Outcomes confirm that the idea can be considered as an economic interim approach which is superior to the diffusion approximation, and comparable with transport in results.

Sensitivity Analysis of Power System Including Series FACTS Device Based on RCF Method (직렬형 FACTS 설비를 포함하는 전력시스템의 RCF 해석법에 기초한 감도해석)

  • Kim, Deok-Young
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.3
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    • pp.624-631
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    • 2011
  • In this paper, the RCF method is used in sensitivity analysis problems of the discrete power systems including both series FACTS equipments such as TCSC in transmission lines and generator controllers such as Exciter and PSS in generator terminal. To apply the RCF method in small signal stability problems of discrete power systems, state transition equations of controllers and TCSC are derived and the sensitivity calculation algorithm using state transition equations in discrete time domain is devised. The results of eigenvalue analysis showed that the variations of eigenvalues after periodic switching operations of TCSC can be calculated exactly by the RCF method and the change of firing angles in TCSC have important effect to determine the stability of power systems.

A time delay estimation method using canonical correlation analysis and log-sum regularization (로그-합 규준화와 정준형 상관 분석을 이용한 시간 지연 추정에 관한 연구)

  • Lim, Jun-Seok;Pyeon, Yong-Gook;Lee, Seokjin;Cheong, MyoungJun
    • The Journal of the Acoustical Society of Korea
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    • v.36 no.4
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    • pp.279-284
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    • 2017
  • The localization of sources has a numerous number of applications. To estimate the position of sources, the relative time delay between two or more received signals for the direct signal must be determined. Although the GCC (Generalized Cross-Correlation) method is the most popular technique, an approach based on CCA (Canonical Correlation Analysis) was also proposed for the TDE (Time Delay Estimation). In this paper, we propose a new adaptive algorithm based on CCA in order to utilized the sparsity in the eigenvector of CCA based time delay estimator. The proposed algorithm uses the eigenvector corresponding to the maximum eigenvalue with log-sum regularization in order to utilize the sparsity in the eigenvector. We have performed simulations for several SNR(signal to noise ratio)s, showing that the new CCA based algorithm can estimate the time delays more accurately than the conventional CCA and GCC based TDE algorithms.

Free vibration analysis of large sag catenary with application to catenary jumper

  • Klaycham, Karun;Nguantud, Panisara;Athisakul, Chainarong;Chucheepsakul, Somchai
    • Ocean Systems Engineering
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    • v.10 no.1
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    • pp.67-86
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    • 2020
  • The main goal of this study is to investigate the free vibration analysis of a large sag catenary with application to the jumper in hybrid riser system. The equation of motion is derived by using the variational method based on the virtual work principle. The finite element method is applied to evaluate the numerical solutions. The large sag catenary is utilized as an initial configuration for vibration analysis. The nonlinearity due to the large sag curvature of static configuration is taken into account in the element stiffness matrix. The natural frequencies of large sag catenary and their corresponding mode shapes are determined by solving the eigenvalue problem. The numerical examples of a large sag catenary jumpers are presented. The influences of bending rigidity and large sag shape on the free vibration behaviors of the catenary jumper are provided. The results indicate that the increase in sag reduces the jumper natural frequencies. The corresponding mode shapes of the jumper with large sag catenary shape are comprised of normal and tangential displacements. The large sag curvature including in the element stiffness matrix increases the natural frequency especially for a case of very large sag shape. Mostly, the mode shapes of jumper are dominated by the normal displacement, however, the tangential displacement significantly occurs around the lowest point of sag. The increase in degree of inclination of the catenary tends to increase the natural frequencies.

Estimation of Weights in Water Management Resilience Index Using Principal Component Analysis(PCA) (주성분 분석(PCA)을 이용한 물관리 탄력성 지수의 가중치 산정)

  • Park, Jung Eun;Lim, Kwang Suop;Lee, Eul Rae
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.583-583
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    • 2016
  • 다양한 평가지표가 반영된 복합 지수(Composite Index)는 물관리 정책의 우선순위 결정 및 정책성과의 모니터링에 유용한 도구로 사용되고 있다. 각 지표별 중요도를 나타내는 가중치는 최종 지수의 산정에 영향을 미칠 수 있으며, 그 결정방법도 Data Envelopment Analysis(DEA), Benefit of doubt Approach(BOD), Unobserved Component Model(UCM), Budget Allocation Process(BAP), Analytic Hierarchy Process(AHP), Conjoint Analysis(CA) 등 다양하다. 본 연구에서는 여러 가지 가중치 결정방법 중 통계적 방법인 주성분 분석(Principal Component Analysis, PCA)을 사용하여 Park et al.(2016)이 제시한 물관리 탄력성 지수(Water Management Resilience Index, WMRI)에 대한 가중치를 산정하여 동일 가중치를 적용한 기존 결과와 비교하였다. 물관리 탄력성 지수는 자연조건상 물관리 취약성(Vulnerability), 기존 수자원 인프라의 견고성(Robustness), 물위기 적응전략의 다양성(Redundancy)의 3가지 부지수(sub-index)는 각각 13개, 11개, 7개의 지표(Indicator)로 구성되어 있으며, 117개 중권역을 다목적댐 하류 본류유역(범주 1), 용수공급 및 유량조절이 불가능한 지류(범주 2)와 가능한 지류(범주 3)로 분류하여 적용되었다. 각 부지수별로 추출된 3개, 5개, 3개의 주성분이 전체 자료의 76.4%, 71.2%, 63.2%를 설명하는 것으로 분석되었으며 부지수별 주성분의 고유벡터(Eigenvector)와 고유값(Eigenvalue)를 계산하고 각 지표의 가중치를 산정하였다. 주성분 분석에 의한 가중치와 동일 가중치를 적용하였을 경우와 비교해보면 취약성 부지수 1.9%, 견고성 부지수 1.9%, 다양성 부지수 2.1%의 차이가 나타나며 물관리 탄력성 지수는 0.4%의 차이를 보임에 따라 Park et al.이 제시한 연구결과의 적정성을 확인할 수 있었다. 주성분 분석은 객관적인 가중치 설정을 위한 통계적 접근방법의 하나로써 다양한 물관리 정책지수 산정시 활용될 수 있을 것이며, 향후 다른 가중치 산정방법을 적용함으로써 각 방법에 따른 지수 결과의 민감도 및 장단점을 분석할 수 있을 것으로 판단된다.

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Connection between Fourier of Signal Processing and Shannon of 5G SmartPhone (5G 스마트폰의 샤논과 신호처리의 푸리에의 표본화에서 만남)

  • Kim, Jeong-Su;Lee, Moon-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.6
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    • pp.69-78
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    • 2017
  • Shannon of the 5G smartphone and Fourier of the signal processing meet in the sampling theorem (2 times the highest frequency 1). In this paper, the initial Shannon Theorem finds the Shannon capacity at the point-to-point, but the 5G shows on the Relay channel that the technology has evolved into Multi Point MIMO. Fourier transforms are signal processing with fixed parameters. We analyzed the performance by proposing a 2N-1 multivariate Fourier-Jacket transform in the multimedia age. In this study, the authors tackle this signal processing complexity issue by proposing a Jacket-based fast method for reducing the precoding/decoding complexity in terms of time computation. Jacket transforms have shown to find applications in signal processing and coding theory. Jacket transforms are defined to be $n{\times}n$ matrices $A=(a_{jk})$ over a field F with the property $AA^{\dot{+}}=nl_n$, where $A^{\dot{+}}$ is the transpose matrix of the element-wise inverse of A, that is, $A^{\dot{+}}=(a^{-1}_{kj})$, which generalise Hadamard transforms and centre weighted Hadamard transforms. In particular, exploiting the Jacket transform properties, the authors propose a new eigenvalue decomposition (EVD) method with application in precoding and decoding of distributive multi-input multi-output channels in relay-based DF cooperative wireless networks in which the transmission is based on using single-symbol decodable space-time block codes. The authors show that the proposed Jacket-based method of EVD has significant reduction in its computational time as compared to the conventional-based EVD method. Performance in terms of computational time reduction is evaluated quantitatively through mathematical analysis and numerical results.

The Development of Satisfaction Tool to Health Care Services - focused on Patients and their families - (의료 서비스에 대한 만족도 측정 도구의 개발)

  • Kang, So-Young;Lee, Sun-Mi
    • Quality Improvement in Health Care
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    • v.3 no.1
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    • pp.104-124
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    • 1996
  • Background : In these days, the health care organizations have concerned about customer-centered care in order to empower the competitiveness on the health care markets. The departments working for quality management of the hospitals have used health care quality indicators in terms of medical areas as well as service areas of the hospitals. However, there were insufficient efforts to develop the credible measurement to seek the customers' needs, their expectations and their satisfaction levels related to health care services because various kinds of challenges were in the process of scale development to measure customers' satisfaction in health care. The purpose of this study was to develop the satisfaction scale to health care services in a Korea health care organization and to test its tool with validity and reliability. Method : The concept of this tool was acceptability that one of the components of health care quality defined by Donabedian. Acceptability has the five dimensions of concept: Accessibility; Patient-Practitioner Relations; Amenities; Patient Preferences as to the effects of care; and Patient Preferences as to the costs of care. The Satisfaction Tool to Health Care Services was reviewed by expert panel with five researchers, including hospital managers and a professor related to quality management of the hospitals. As a result, the content validity index was .84 in the outpatient satisfaction tool. The inpatient satisfaction tool had .87 of the content validity index. The Satisfaction Tools to Health Care Services finally consisted of 44 items for outpatients/their families and of 60 items for inpatients/their families. Study subjects of the construct validity test were 479 outpatients/their families and 561 inpatients/their families who visited or admitted at a University hospital from July 1, 1996 through August 10, 1996. The data were examined by Factor Analysis with SPSS. Result : The items of Satisfaction tools for outpatients/their families were categorized by eleven factors with eigenvalue greater than 1.0 accounting for 64.2 percent of the variation in item scores. Also, the items of inpatient tool had eleven factors with eigenvalue greater than 1.0 accounting for 60.3 percent of the variation in item scores. The reliability of overall scale were .95 and .96 for the outpatients/their families satisfaction scores and inpatient/their families satisfaction scores. The internal consistency reliability with eleven factors was ranged from .30 to .94 for inpatients/their families. The Satisfaction Tool with eleven factors for inpatients/their families had internal consistency reliability ranged from .53 to .89. Conclusion : The Satisfaction Tools to Health Care Services focused on outpatients/their families and inpatients/their families developed in this study had a high reliability and the strong evidence of content validity and construct validity based on quality concept. Therefore, this tool would be utilized as a credible quality indicator of health care services to assess the quality problems and to monitor the quality improvement activities in Korean Health Care Organizations.

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A Study on the Dyadic Sorting method for the Regularization in DT-MRI (Dyadic Sorting 방법을 이용한 DT-MRI Regularization에 관한 연구)

  • Kim, Tae-Hwan;Woo, Jong-Hyung;Lee, Hoon;Kim, Dong-Youn
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.4
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    • pp.30-39
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    • 2010
  • Since Diffusion tensor from Diffusion Tensor Magnetic Resonance Imaging(DT-MRI) is so sensitive to noise, the principle eigenvector(PEV) calculated from Diffusion tensor could be erroneous. Tractography obtained from PEV could be deviated from the real fiber tract. Therefore regularization process is needed to eliminate noise. In this paper, to reduce noise in DT-MRI measurements, the Dyadic Sorting(DS) method as regularization of the eigenvalue and the eigenvector is applied in the tractography. To resort the eigenvalues and the eignevectors, the DS method uses the intervoxel overlap function which can measure the overlap between eigenvalue-eigenvector pairs in the $3\times3$ pixel. In this paper, we applied the DS method to the three-dimensional volume. We discuss the error analysis and numerical study to the synthetic and the experimental data. As a result, we have shown that the DS method is more efficient than the median filtering methods as much as 79.97%~83.64%, 85.62%~87.76% in AAE, AFA respectively for the corticospinal tract of the experimental data.

Free Vibration of Marine Riser System with the Inclusion of Internal Flow (내부 유체흐름을 포함한 Riser System의 자유진동)

  • Namseeg Hong
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.8 no.4
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    • pp.287-296
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    • 1996
  • A mathematical model for the dynamic analysis of the riser system is developed to investigate the effect of internal flow on the free vibration of marine riser system which includes a steady flow inside the pipe. A semi-analytical method using series expansion is employed to derive Eigenvalue problem to facilitate the evaluation of the system frequencies, and its validity is given through the comparison of the solutions with the conventional method using system matrices. The algorithm is implemented to develop computer programs for the estimation of the system frequency. The investigations of the effect of internal flow on system frequency are performed according to the change of parameters such as top tension, internal flow velocity, and so on. It is found that the effect of internal flow can be controlled by the increase of top tension. However, careful consideration has to be given in the design point, particularly for the long riser.

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Vibration Analysis of a Flexible Spinning Disk Considering the effect of Misalignment (회전축 정렬불량을 고려한 유연회전디스크의 진동해석)

  • Jeong, Jin-Tae;Heo, Jin-Uk;Choe, Gi-Yeong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.5
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    • pp.952-959
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    • 2002
  • The natural frequencies of a flexible spinning disk misaligned with the axis of rotation are studied in an analytic manner. The effects of misalignment on the natural frequency need to be investigated, because the misalignment between the axis of symmetry and the axis of relation cannot be avoided in the removable disks such as CD-R, CD-RW or DVD disks. Assuming that the in -plane displacements are in steady state and the out-of-plane displacement is in dynamic state, the equations of motion are derived for the misaligned spinning disk. After the exact solutions are obtained fur the steady -state in-plane displacements, they are plugged into the equation for the dynamic-state out-of-plane motion. The resultant equation is a linear equation for the out -of-plane displacement, which is discretized by the Galerkin method. Based on the discretized dquations, the effects of the misalignment are analyzed on the vibration characteristics of the spinning disk, i.e., the natural frequencies and the critical speed.