• Title/Summary/Keyword: Group equations

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Modeling of a Variable Speed Wind Turbine in Dynamic Analysis

  • Kim, Seul-Ki;Kim, Eung-Sang;Jeon, Jin-Hong
    • KIEE International Transactions on Power Engineering
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    • v.4A no.2
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    • pp.51-57
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    • 2004
  • This paper describes the dynamic performance of a variable speed wind turbine system responding to a wide variety of wind variations. Modeling of the wind generation using power electronics interface is proposed for dynamic simulation analysis. Component models and equations are addressed and their incorporations into a transient analysis program, PSCAD/EMTDC are provided. A wind model of four components is described, which enables observing dynamic behaviors of the wind turbine resulting from wind variations. Controllable power inverter strategies are intended for capturing the maximum power under variable speed operation and maintaining reactive power generation at a pre-determined level for constant power factor control or voltage regulation control. The components and control schemes are modeled by user-defined functions. Simulation case studies provide variable speed wind generator dynamic performance for changes in wind speed

ON THE HOMOLOGY OF THE MODULI SPACE OF $G_2$ INSTANTONS

  • Park, Young-Gi
    • Communications of the Korean Mathematical Society
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    • v.9 no.4
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    • pp.933-944
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    • 1994
  • Let $\pi : P \to S^4$ be a principal G-bundle over $S^4$ whose the structure group G is a compact, connected, simple Lie group. Since $\pi_3(G) = \pi_4 (BG) = Z$, we can classify the principal bundle $P_k$ over $S^4$ by the map $S^4 \to BG$ of degree k. Atiyah and Jones [2] showed that $C_k = A_k/g^b_k$ is homotopy equivalent to $\Omega^3_k G \simeq \Omega^4_k BG$ where $A_k$ is the space of the all connections in $P_k$ and $g^b_k$ is the based gauge group which consists of all base point preserving automorphisms on $P_k$. Here $\Omega^nX$ is the space of all base-point preserving continuous map from $S^n$ to X. Let $M_k$ be the space of based gauge equivalence classes of all connections in $P_k$ satisfying the Yang-Mills self-duality equations, which we call the moduli space of G instantons.

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Structural Equation Modeling Using R: Mediation/Moderation Effect Analysis and Multiple-Group Analysis (R을 이용한 구조방정식모델링: 매개효과분석/조절효과분석 및 다중집단분석)

  • Kwahk, Kee-Young
    • Knowledge Management Research
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    • v.20 no.2
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    • pp.1-24
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    • 2019
  • This tutorial introduces procedures and methods for performing structural equation modeling using R. To do this, we present advanced analysis methods based on structural equation model such as mediation effect analysis, moderation effect analysis, moderated mediation effect analysis, and multiple-group analysis with R program code using R lavaan package that supports structural equation modeling. R is flexible and scalable, unlike traditional commercial statistical packages. Therefore, new analytical techniques are likely to be implemented ahead of any other statistical package. From this point of view, R will be a very appropriate choice for applying new analytical techniques or advanced techniques that researchers need. Considering that various studies in the social sciences are applying structural equations modeling techniques and increasing interest in open source R, this tutorial is expected to be useful for researchers who are looking for alternatives to existing commercial statistical packages.

Development of Standardized Predictive Models for Traditional Korean Medical Diagnostic Pattern Identification in Stroke Subjects: A Hospital-based Multi-center Trial

  • Jung, Woo-Sang;Cho, Seung-Yeon;Park, Seong-Uk;Moon, Sang-Kwan;Park, Jung-Mi;Ko, Chang-Nam;Cho, Ki-Ho;Kwon, Seungwon
    • The Journal of Korean Medicine
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    • v.40 no.4
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    • pp.49-60
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    • 2019
  • Objectives: To develop a standardized diagnostic pattern identification equation for stroke patients, our group conducted a study to derive the predictive logistic equations. However, the sample size was relatively small. In the current study, we aimed to derive new predictive logistic equations for each diagnostic pattern using an expanded number of subjects. Methods: This study was a hospital-based multi-center trial recruited stroke patients within 30 days of symptom onset. Patients' general information, and the variables related to diagnostic pattern identification were measured. The diagnostic pattern of each patient was identified independently by two Korean Medicine Doctors. To derive a predictive model for pattern identification, binary logistic regression analysis was applied. Results: Among the 1,251 patients, 385 patients (30.8%) had the Fire Heat Pattern, 460 patients (36.8%) the Phlegm Dampness Pattern, 212 patients (16.9%) the Qi Deficiency Pattern, and 194 patients (15.5%) the Yin Deficiency Pattern. After the regression analysis, the predictive logistic equations for each pattern were determined. Conclusion: The predictive equations for Fire Heat, Phlegm Dampness, Qi Deficiency, and Yin Deficiency would be useful to determine individual stroke patients' pattern identification in the clinical setting. However, further studies using objective measurements are necessary to validate these data.

A Study on Body Shape for 3D Virtual Body Shape Transformation - Focusing on the Women with age of forties - (3차원 가상바디 변형을 위한 체형연구 - 40대 여성을 대상으로 -)

  • Shin, Ju-Young Annie;Nam, Yun-Ja
    • Fashion & Textile Research Journal
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    • v.17 no.2
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    • pp.265-277
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    • 2015
  • The aim of this study was to successfully reflect human body changes on the transformation of the virtual body within 3D virtual fitting spaces. For this purpose, existing problems of shape transformation of the virtual body were analyzed and regression equations which provides useful basic data for transformation of the virtual body that can be applied usefully to the 3D virtual fitting system was developed. Necessary data for the analyses were body measurement and 3D scan data of women with average physical form between the ages of 40 through 49. The reason that we used human body changes of the female subjects in their forties was based on the recognition that fundamental female body changes start to occur from age of forty. Body shapes were largely divided into 3 groups according to obesity which was found to be the biggest factor of shape change. Seven factors were extracted based on factor analysis of 47 body measurement categories and regression equations were created to extract specific measurements for each BMI group based on these seven factors. The major contribution of this paper can be summarized as follows. First, the regression equations to extract specific measurements based on the 7 representative variables remediated existing problem of virtual bodies as it increased the number of body shape transformation areas. Second, the regression equations helped to overcome the problem of current failing to reflecting changes in body cross-section shape based on simple girth measurements based on analysis of cross-section distances.

A Study of Gage R&R Analysis Considering the Variations of Between-Within Group and Within Part (군간-군내-부품내 변동을 고려한 Gage R&R 분석에 관한 연구)

  • Lee, Seung-Hoon;Lee, Chang-Woo
    • IE interfaces
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    • v.18 no.4
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    • pp.444-453
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    • 2005
  • The purpose of the Gage R&R study is to determine whether a measurement system is adequate for monitoring a process. If the measurement system variation is small relative to the process variation, then the measurement system is deemed "adequate". The sources of variation associated with the measurement system are compared using an analysis of variance (ANOVA) model, in general. A typical ANOVA model used in a standard Gage R&R study is the two-factor random effect model. Then, the ANOVA partitions the total variation into three categories: repeatability, reproducibility, part variation. However, if the process variation possesses the between group variation, within group variation, and within part variation, these variations can cause the measurement system evaluation to provide misleading results. That is, in the standard Gage R&R study these variations affect the estimate of repeatability, reproducibility, or both. This paper presents a four-factor nested factorial ANOVA model which explicitly considers these variations for the Gage R&R study. The variance component estimators are derived by setting the EMS equations equal to the corresponding mean square from the ANOVA table and solving. And the proposed model is compared with the standard Gage R&R model.

A Practical Case Study of Student-Centered Education Using Small Group Activities: 'Prospect of Nuclear Engineering' Course (소그룹 활동을 활용한 학습자중심 교육 사례: '원자핵공학의 미래' 교과목을 중심으로)

  • Na, Yong-Su;Min, Hyeree
    • Journal of Engineering Education Research
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    • v.22 no.5
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    • pp.29-36
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    • 2019
  • Here we analyze a case of redesigned course named "Prospect of Nuclear Engineering" as an example of student-entered education which came to the fore of university education innovation. This course was reformed from lecture-based to student-centered class by changing the context as follows: Stimulating students by addressing various problems or episodes behind scientific and mathematical concepts in the history; Offering experimental project to perceive the importance of differential equations; Exploring the research status and issues of nuclear engineering and the ways of attacking them by discipline; Discussing the public acceptance of nuclear power plants. Small group activities using 'small group discussion' and 'peer-learning' have been applied in this course to enhance students' critical and creative ability. In the survey, students rated highly in the fact that they could actively interact with the peers and that they could think for themselves through 'small group discussion' and 'peer-learning' which is not just the way of conveying knowledge.

Estimation of Glomerular Filtration Rate from Plasma Creatinine and Height in Children (소아에서 신장과 혈장 Creatinine 농도를 이용한 사구체여관율 측정)

  • Kim, Jeong-Lan;Park, Yong-Hoon;Hah, Jeong-Ok
    • Journal of Yeungnam Medical Science
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    • v.5 no.1
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    • pp.93-100
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    • 1988
  • In clinical practice, creatinine clearance(Ccr) remains the most commonly used laboratory assessment of glomerular function despite methodological and technical problems of urine collection. Schwartz et al. in 1976, reported that an accurate estimate of glomerular filtration rate(GFR) could be obtained from the simple determinations of plasma creatinine(Pcr) and body length(L) : GFR($m{\ell}/min/1.73m^2$=k L(cm)/Pcr(mg/$100m{\ell}$), (k=constant). The subject of this study were ill children admitted to our pediatric department from July, 1985 to June, 1987 and they were divided into three groups; group I, from 1 to 5 years old, group II, from 6 to 10 years old, group III. from 11 to 15 years old. The results were as following ; 1) Measured creatinine clearance($Ccr_M$, $m{\ell}/min/1.73m^2$) were $109.73{\pm}9.97$ in group I, $108.26{\pm}9.02$ in group II, $96.20{\pm}4.72$ in group III and $105.48{\pm}5.23$ in all age group. 2) Measured k($k_M$) obtained from $Ccr_M=k$ Ht/Pcr were $0.49{\pm}0.03$ in group I, $0.48{\pm}0.02$ in group II, $0.43{\pm}0.02$ in group III, and $0.47{\pm}0.02$ in all age group.(Ht ; height) 3) Linear equations and correlation coefficients between Ht/Pcr(x) and Ccr(y) were y=0.822x-65.63(r=0.99) in group I, y=0.61x-23.46(r=0.72) in group II, y=0.18x+54.44(r=0.54) in group III and y=0.58x-22.13(r=0.81) in all age group. 4) $Ccr_E$ was again estiamted from linear equations between Ht/Pcr and $Ccr_M$ and $k_E$ was calculated with Ht/Pcr and $Ccr_E$ were $0.48{\pm}0.01$ in group I, $0.49{\pm}0.01$in group II, $0.43{\pm}0.01$ in group III and $0.47{\pm}0.00$ in all age group. 5) Consistant values of $k_E$ and $k_M$ were highly significant as 95~97.5% in group I and II, 90~95% in group III and 97.5~99% in all age group. In summary, we could estimate GFR with height, plasma creatinine and measured k($k_M$) according to the age in easy and rapid way.

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Optimization of Supercritical Water Oxidation(SCWO) Process for Decomposing Nitromethane (Nitromethane 분해를 위한 초임계수 산화(SCWO) 공정 최적화)

  • Han, Joo Hee;Jeong, Chang Mo;Do, Seung Hoe;Han, Kee Do;Sin, Yeong Ho
    • Korean Chemical Engineering Research
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    • v.44 no.6
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    • pp.659-668
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    • 2006
  • The optimization of supercritical water oxidation (SCWO) process for decomposing nitromethane was studied by means of a design of experiments. The optimum operating region for the SCWO process to minimize COD and T-N of treated water was obtained in a lab scale unit. The authors had compared the results from a SCWO pilot plant with those from a lab scale system to explore the problems of scale-up of SCWO process. The COD and T-N in treated waters were selected as key process output variables (KPOV) for optimization, and the reaction temperature (Temp) and the mole ratio of nitromethane to ammonium hydroxide (NAR) were selected as key process input variables (KPIV) through the preliminary tests. The central composite design as a statistical design of experiments was applied to the optimization, and the experimental results were analyzed by means of the response surface method. From the main effects analysis, it was declared that COD of treated water steeply decreased with increasing Temp but slightly decreased with an increase in NAR, and T-N decreased with increasing both Temp and NAR. At lower Temp as $420{\sim}430^{\circ}C$, the T-N steeply decreased with an increase in NAR, however its variation was negligible at higher Temp above $450^{\circ}C$. The regression equations for COD and T-N were obtained as quadratic models with coded Temp and NAR, and they were confirmed with coefficient of determination ($r^2$) and normality of standardized residuals. The optimum operating region was defined as Temp $450-460^{\circ}C$ and NAR 1.03-1.08 by the intersection area of COD < 2 mg/L and T-N < 40 mg/L with regression equations and considering corrosion prevention. To confirm the optimization results and investigate the scale-up problems of SCWO process, the nitromethane was decomposed in a pilot plant. The experimental results from a SCWO pilot plant were compared with regression equations of COD and T-N, respectively. The results of COD and T-N from a pilot plant could be predicted well with regression equations which were derived in a lab scale SCWO system, although the errors of pilot plant data were larger than lab ones. The predictabilities were confirmed by the parity plots and the normality analyses of standardized residuals.

APPROXIMATING RANDOM COMMON FIXED POINT OF RANDOM SET-VALUED STRONGLY PSEUDO-CONTRACTIVE MAPPINGS

  • LI JUN;HUANG NAN JING
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.329-341
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    • 2005
  • In this paper, we introduce new random iterative sequences with errors approximating a unique random common fixed point for three random set-valued strongly pseudo-contractive mappings and show the convergence of the random iterative sequences with errors by using an approximation method in real uniformly smooth separable Banach spaces. As applications, we study the existence of random solutions for some kind of random nonlinear operator equations group in separable Hilbert spaces.