• Title/Summary/Keyword: 통계적 반응표면

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A Procedure for Statistical Thermal Margin Analysis Using Response Surface Method and Monte Carlo Technique (반응 표면 및 Monte Carlo 방법을 이용한 통계적 열여유도 분석 방법)

  • Hyun Koon Kim;Young Whan Lee;Tae Woon Kim;Soon Heung Chang
    • Nuclear Engineering and Technology
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    • v.18 no.1
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    • pp.38-47
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    • 1986
  • A statistical procedure, which uses response surface method and Monte Carlo simulation technique, is proposed for analyzing the thermal margin of light water reactor core. The statistical thermal margin analysis method performs the best.estimate thermal margin evaluation by the probabilistic treatment of uncertainties of input parameters. This methodology is applied to KNU-1 core thermal margin analysis under the steady state nominal operating condition. Also discussed are the comparisons with conventional deterministic method and Improved Thermal Design Procedure of Westinghouse. It is deduced from this study that the response surface method is useful for performing the statistical thermal margin analysis and that thermal margin improvement is assured through this procedure.

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Shape Optimization of a 10/8 Switched Reluctance Motor Using Response Surface Methodology (반응표면기법을 이용한 5상 10/8 스위치드리럭턴스 모터의 협상최적설계)

  • Kim, Yong-Dae;Lee, Dae-Ok;Park, Kyi-Hwan
    • Proceedings of the KIEE Conference
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    • 2003.10b
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    • pp.21-23
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    • 2003
  • 본 연구에서는 반응표면기법을 이용하여 5상, 10/8 스위치드 리럭턴스 모터의 최적설계를 수행하였다. 반응표면 기법은 여러 개의 독립적인 설계변수가 출력 함수에 복합적인 작용을 하고 있을 때, 설계변수의 변화에 대한 출력함수의 변화를 추정하는 통계적인 분석방법이다. 여기서는, 모터 형상을 결정하는 모든 기하학적인 치수들을 변수로 선택하였고, D-Optimal 기법을 이용하여 실험 점들을 선택하였다. 각각의 실험점들에 대해서 FEM 해석을 수행하였고, 평균토크와 권선면적을 만족하는 최소부피의 모터를 설계하였다. 반응표면 모델을 이용하여 최적설계를 수행하였고, 각도와 전류에 따른 토크 프로파일과 인덕턴스 프로파일을 얻었다. 이를 바탕으로 동적 거동을 예상해 보았다. 반응표면기법을 이용한 최적설계에서는 global optimum을 보장할 수 있으며, 최적설계에 소요되는 시간을 줄일 수 있다.

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Torque Ripple Reduction of Surface-mounted Permenent Magnet Synchronous Generator(SPMSG) using Response Surface Method (반응표면법을 이용한 표면부착형 영구자석 동기발전기의 토크 리플 저감설계)

  • Son, Seung-Wan;Shin, Young-Jin;Yoon, Myung-Hwan;Hong, Jung-Pyo
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.800-801
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    • 2015
  • 본 논문에서는 표면부착형 영구자석 동기발전기(SPMSG)의 소음과 진동의 원인이 되는 토크 리플을 저감하고자 하였다. 최적설계법의 하나인 반응표면법을 이용하여 토크 리플을 최소화하는 발전기 형상을 결정하였다. 반응표면법은 통계적인 근사방법으로써 여러 개의 독립변수 또는 설계변수가 복합적으로 작용하여 해석적 모형을 만드는데 매우 유용한 방법이다. 또한 유한요소해석법을 통하여 기존모델과 최적설계모델의 토크 리플을 비교함으로써 성능 개선을 확인하였다.

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실험계획법에 의한 화인세라믹스 원통래핑의 최적화에 관한 연구

  • 최민식;김정두
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1992.10a
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    • pp.145-150
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    • 1992
  • 화인세라믹의 우수한 공학적 특성으로 인한 최근의 이용가치 증대와 더불어 세라믹의 고정도 가공에 대한 관심이 높아지고 있다. 다이아몬드휠을 이용한 연삭이나 다이아몬드 공구를 이용한 선삭에 의해 세라믹의 고정도 표면생성을 실현시키고자 하는 연구가 활발히 진행되고는 있으나 아직 미흡한 상태에 있다. 따라서 전통적으로 고정도 표면생성에 널리 용되어 온 래핑에 의한 표면다듬질이 현재 행하여지고 있는 일반적인 방법이다. 본 연구에서는 화인세라믹의 고정도 표면생성을 위한 원통래핑 공정의 최적화 방법으로 실험계획법의 한 응용분야인 반응표면분석법을 이용하였으며 그 결과, 적은 재료와 시간으로 능률적이고 체계적인 실험 및 통계적인 분석을 통해서 원통세라믹의 고정도 표면생성을 위한 최적래핑조건을 찾아내었다.

Development of a Statistical Methodology for Nuclear Fuel Rod Internal Pressure Calculation (통계적인 핵연료봉 내압 설계방법론 개발)

  • Kim, Kyu-Tae;Yoo, Jong-Sung;Kim, Ki-Hang;Kim, Young-Jin
    • Nuclear Engineering and Technology
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    • v.26 no.1
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    • pp.100-107
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    • 1994
  • A statistical methodology is developed for calculating the nuclear fuel pod internal pressure of Korean PWR fuel in order to reduce over-conservatism of the current KAERI deterministic methodology. The developed statistical methodology employs the response surface method and Monte Carlo calculation. The simple regression equation for the rod internal pressure is derived by taking into account the various fuel fabrication-related and fuel performance model-related parameters. The validity of the regression equation is examined by the F-test, $R^2$-method and Cp-test The internal pressure predicted by the regression equation is in good agreement with that calculated by he computer code using the KAERI deterministic methodology. The distribution of the internal pressure from the Monte Carlo calculation is found to be normal. Comparison of the 95/95 rod internal pressure predicted by the developed statistical methodology with the maximum rod internal pressure by the deterministic methodology shows that the developed statistical methodology reduces significantly over-conservatism of the deterministic methodology.

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A Generalized Regression Neural Network Plasma Model for Semiconductor Process Optimization (반도체 공정 최적화를 위한 일반화된 회귀 신경망 플라즈마 모델)

  • Park, Sung-Jin;Kim, Byung-Whan
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2744-2746
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    • 2000
  • 일반화된 회귀 신경망을 이용하여 반도체 공정 최적화를 위한 플라즈마를 모델링한다. 플라즈마는 Box-W린son 실험계획표에 의해 특성화되었으며, 여기에서 변화시킨 인자로는 소스전력, 압력, 척지지대의 위치, 그리고 염소의 유량이다. 총 24회의 실험이 수행이 되었으며, 플라즈마 변수는 Langmuir Probe를 이용하여 측정하였다. 측정된 주요 플라즈마 변수로는 전자밀도, 전자온도, 그리고 플라즈마 전위이다. 폭변수를 점진적으로 증가시켜 회귀신경망을 최적화하였으며. 최적화된 모델은 통계적인 반응표면모델과 비교하였다. 비교 결과, 회귀신경망은 반응표면모델에 상응하는 예측능력을 보이고 있음을 알 수 있었다.

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Statistical Space-Time Metamodels Based on Multiple Responses Approach for Time-Variant Dynamic Response of Structures (구조물의 시간-변화 동적응답에 대한 다중응답접근법 기반 통계적 공간-시간 메타모델)

  • Lee, Jin-Min;Lee, Tae-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.8
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    • pp.989-996
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    • 2010
  • Statistical regression and/or interpolation models have been used for data analysis and response prediction using the results of the physical experiments and/or computer simulations in structural engineering fields. These models have been employed during the last decade to develop a variety of design methodologies. However, these models only handled responses with respect to space variables such as size and shape of structures and cannot handle time-variant dynamic responses, i.e. response varying with time. In this research, statistical space-time metamodels based on multiple response approach that can handle responses with respect to both space variables and a time variable are proposed. Regression and interpolation models such as the response surface model (RSM) and kriging model were developed for handling time-variant dynamic responses of structural engineering. We evaluate the accuracies of the responses predicted by the two statistical space-time metamodels by comparing them with the responses obtained by the physical experiments and/or computer simulations.

A Study on the Properties of Foamed Concrete with Plaster Using the Experimental Design (실험계획법을 이용한 석고 혼입 기포콘크리트의 특성에 관한 연구)

  • Lee, Sang-An;Kim, Wha-Jung;Yoon, Sang-Chun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.17 no.6
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    • pp.130-137
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    • 2013
  • This research was performed through the experimental design to get the statistical analysis on foamed concrete mixed plaster with hydrogen peroxide. In this experiment, we set the ratio of each material, which part of lightweight concrete, as experimental factors and evaluated on the mechanical properties by statistical analysis for response variables obtained from experiments. Experimental factors are plaster replacement, water binder ratio, and hydrogen peroxide ratio. Response variables are dry density, compressive strength, and flexural strength. Mixing design of the foamed concrete set up a total of 15 experimental points by Box-Behnken (BB) method of the response surface analysis. Thus, the results of a study were summarized as follows. Values of the probability in experimental factors (plaster replacement, water binder ratio and hydrogen peroxide ratio) on the response variables were estimated to be significant at the 95% of confidence limit. On response surface analysis for dry density of foamed concrete, water binder ratio and hydrogen peroxide ratio were estimated to be significant (${\alpha}$ = 0.05), and the relationship between the amount of void and the water content for dry density is inverse proportional. On response surface analysis for the compressive strength of foamed concrete, water binder ratio, hydrogen peroxide ratio and (hydrogen peroxide ratio)$^2$ was estimated to be significant (${\alpha}$ = 0.05). On response surface analysis for the flexural strength of foamed concrete, water binder ratio, hydrogen peroxide ratio was estimated to be significant (${\alpha}$ = 0.05). Through multi response surface analysis, we found the optimal area that meets performance goals.

RS-based method for estimating statistical moments and its application to reliability analysis (반응표면을 활용한 통계적 모멘트 추정 방법과 신뢰도해석에 적용)

  • Huh, Jae-Sung;Kwak, Byung-Man
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.852-857
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    • 2004
  • A new and efficient method for estimating the statistical moments of a system performance function has been developed. The method consists of two steps: (1) An approximate response surface is generated by a quadratic regression model, and (2) the statistical moments of the regression model are then calculated by experimental design techniques proposed by Seo and $Kwak^{(4)}$. In this approach, the size of experimental region affects the accuracy of the statistical moments. Therefore, the region size should be selected suitably. The D-optimal design and the central composite design are adopted over the selected experimental region for the regression model. Finally, the Pearson system is adopted to decide the distribution type of the system performance function and to analyze structural reliability.

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Optimization of Synthesis Process for Zeolite 4A Using Statistical Experimental Design (통계적 실험계획법을 이용한 제올라이트 4A 합성 최적화)

  • Yun, Mi Hee;Yoo, Kye Sang
    • Applied Chemistry for Engineering
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    • v.28 no.3
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    • pp.286-289
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    • 2017
  • Synthesis of zeolite 4A was carried out to optimize the nanoparticle synthesis process using statistical experimental design method. The zeolite 4A was synthesized by controlling the concentration of the silicon precursor, sodium metasilicate (SMS), and characterized by XRD, SEM and nitrogen adsorption. In particular, the property of zeolite 4A can be determined by XRD analysis. Using the general factor analysis in the design of experiments, we analyzed main effects and interactions according to the reactor, reaction temperature and reaction time. The optimum reaction condition for the synthesis of zeolite 4A crystallinity was using an autoclave for 3 hours at $110^{\circ}C$. Furthermore, the optimal synthesis conditions of zeolite 4A with various crystallinity using Ludox as a silicon precursor were presented of what using both the surface and contour plot.