• Title/Summary/Keyword: 통계적 반응표면

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고온, 고압 가수분해반응에 의한 우지 분해공정: 반응표면분석법을 이용한 반응조건의 최적화

  • Kim, Won-Ho;Kim, Yong-Min;Kim, Ho-Jung;Heo, Byeong-Gi
    • 한국생물공학회:학술대회논문집
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    • 2001.11a
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    • pp.303-307
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    • 2001
  • Operation conditions to maximize the hydrolysis of beef tallow was investigated by using the response surface method. In the response surface analysis, reaction temperature, pressure, and ratio of fat to water was considered as independent variables. The concentrations of triglycerides. diglycerides, monoglycerides and free fatty acids were considered as dependent. variables. The optimum conditions for the hydrolysis was as follows' the reaction temperature was $271^{\circ}C$, pressure 86 bar and ratio of fat to water was 106.08g / 133.93 g. The maximum concentration of free fatty acids was 96.49 % at these optimum conditions.

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An Application of Response Surface Experiments to Control the Quality of Industrial Products : Model Fitting and Prediction of Responses (공업제품의 질을 관리하기 위한 반응표면 실험의 응용 - 통계적 모형 적합과 반응의 예측을 중심으로 -)

  • Park, Seong-Hyeon
    • Journal of Korean Society for Quality Management
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    • v.6 no.1
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    • pp.14-17
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    • 1978
  • In response surface experiments, a polynomial regression model is often used to fit the response surface to explore the functional relationship between a response variable and several independent variables, and to determine the optimum operating conditions, which would be desirable to control the quality of industrial products. The problem considered in this paper is that of selecting subsets of polynomial terms from a given polynomial model so as to achieve "improved" response surfaces in estimation of the response. Such improvement in fitting the response surfaces would be very helpful to determine the optimum operating conditions and to explore the functional relationship with better precision. A criterion is proposed for selection of polynomial terms and illustrated with an industrial example.

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Aerodynamic Design of Helicopter Rotor Airfoil in Forward Flight Using Response Surface Method (반응표면법을 이용한 전진비행하는 헬리콥터 로터 에어포일의 공력설계)

  • Sun, Hyo-Sung;Lee, Soo-Gab
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.7
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    • pp.13-18
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    • 2004
  • This paper describes an efficient and robust optimization method for helicopter rotor airfoil design in forward flight. Navier-Stokes analysis was employed to compute the dynamic response of an airfoil, which simulates the unsteady rotor flow-field in forward flight. The optimization system consists of two categories; Response Surface Method to construct the response surface model based on D-optimal 3-level factorial design, and Genetic Algorithm to obtain the optimum solution of a defined objective function including penalty terms of constraints. The influence of design variables and their interactions on the aerodynamic performance was examined through the optimization process.

Determination of Optimum Reaction Conditions for Pyrolytic Coprocessing of Waste Plastics with Waste Motor oil by Statistical Experimental Design (통계적 실험계획에 의한 폐플라스틱/폐유의 최적 열분해 반응조건 결정)

  • Yoon, Wang-Lai;Park, Jong-Soo;Jung, Heon;Lee, Ho-Tae;Ko, Sung-Hyuk;Kim, Sung-Hyun
    • Journal of Energy Engineering
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    • v.8 no.1
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    • pp.189-201
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    • 1999
  • 범용 열가소성 플라스틱(polyethylene(PE), polypropylene(PP), polystyrene(PS), polyethylene-terephthalate(PET), acrylonitrile-butandiene-styrene(ABS))과 폐윤활유의 동시처리 열분해반응 실험을 수행하였다. 반응실험은 40$m\ell$ 용량의 회분식 미분반응기(microreactor)를 이용한 실험과 1리터 용량의 autoclave를 이용한 실험의 두 가지로 구분하여 행하였다. 전자의 경우는 통계적 실험적계획법(statistical experimental design)의 하나인 회전계획실험(rotatable design experiments)으로서 오각형 실험계획(pentagonal experimental design)에 의거한 반응변수 실험을 수행한 후 반응표면(response surface)을 회기분석법에 의하여 분석함으로써 최대의 오일 수율을 얻을 수 있는 최적 반응조건을 추적, 결정하였다. Autoclave 반응실험의 기본적인 목적은 실제 연속공정에 있어서 열분해 반응기 거동을 모사하기 위한 전초단계로서 충분한 시료의 확보를 통하여 이 때 생성된 연로유의 체계적인 분석(비등점분포특성, 진공증류, 기체분석, 원소분석, 발열량, 비중 등)을 행함으로써 연료유 수율 및 품질을 모사하고자 하였다. 미분반응기 실험에 있어서 주 범용열가소성수지인 PE, PP 그리고 PS는 각각의 최적반응조건하에서 거의 100%에 가깝게 오일로 전환되었지만 응축수지인 PET와 그래프트공중합수지인 ABS의 오일수율은 각기 78% 및 90%로서 상대적으로 낮게 나타났다. Autoclave를 이용한 실험의 경우 혼합플라스틱을 폐유에 대하여 40wt% 혼합하여 열분해하였을 때, 80wt% 오일, 15wt% 코우크, 그리고 나머지 5wt%는 탄화수소기체(C1-C6)로 전환되었다. 진공증류(252$^{\circ}C$,2 torr) 결과, 기/액-분리도는 3으로서 이는 생성오일의 75wt%가 경질연료유(가솔린, 등유, 경유)로 회수 가능하였다.

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Statistical Analysis of The Influence of Inorganic Anions on MTBE Decomposition by Photolysis(UV/H2O2) (광분해반응을 통한 MTBE 분해 시 음이온 영향의 통계적 분석)

  • Chun, Sukyoung;Chang, Soonwoong
    • Journal of the Korean GEO-environmental Society
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    • v.12 no.10
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    • pp.57-62
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    • 2011
  • This study investigated the effects of various inorganic anions($Cl^-$, $NO_3{^-}$, $HCO_3{^-}$) on the Methyl tert Butyl Ether(MTBE) degradation by photocatalysis using statistical method. Generally, this process in general demands the generation of hydroxyl radicals(OH radical) in solution in the presence of UV light. The generation of radicals were affected by inorganic anions in solution that inhibited the photodegradation by their trapping hydroxyl radicals. The effects of inorganic anions were mathematically described as the independent variables such as $Cl^-$, $NO_3{^-}$, and $HCO_3{^-}$, and these were designed by mixture analysis that was one of the response surface methodology(RSM). Regression analysis on ANOVA showed significant p-value(p<0.0001) and high coefficients for determination value($R^2$=99.28%, ${R^2}_{adj}$=98.91%). Contour and response surface plots showed that the effects of inorganic anions for MTBE photodegradation based on $UV/H_2O_2$ process. In the result, $Cl^-$ and $HCO_3{^-}$ inhibited the photodegradation of the MTBE by their trapping hydroxyl radicals, and the interaction by these two factors was observed.

Application of Response Surface Methodology (RSM) on Adsorption of Cs Ion in Aqueous Solution with Zeolite X Synthesized from Coal Fly Ash (석탄비산재로 합성한 제올라이트 X에 의한 수중의 Cs 이온 흡착에 반응표면분석법 적용)

  • Lee, Chang-Han;Lee, Min-Gyu
    • Clean Technology
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    • v.23 no.4
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    • pp.413-420
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    • 2017
  • The batch experiments and response surface methodology (RSM) have been applied to the investigation of the Cs adsorption with zeolite X synthesized using coal fly ash generated from the thermal power plant. Regression equation formulated for Cs adsorption was represented as a function of response variables. The model was highly relevant because the decision coefficient ($r^2$) was 0.9630. It was confirmed from the statistical results that the removal efficiency of Cs was affected by the order of experimental factors as pH > Cs concentration > temperature. The adsorption kinetics were more accurately represented by a pseudo second-order model. The maximum adsorption capacity calculated from the Langmuir isotherm model was $151.52mg\;g^{-1}$ at 293 K. Also, according to the thermodynamic parameters calculated from Vant Hoff equation, it could be confirmed that the adsorption reaction was an endothermic reaction and a spontaneous process.

Statistical Optimization of Culture Conditions for Lactobacillus Strains using Response Surface Methodology (반응표면분석법을 이용한 Lactobacillus 균주 배양조건의 통계적 최적화)

  • Young Min Hwang;Hee-Seok Lee
    • Journal of Food Hygiene and Safety
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    • v.38 no.5
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    • pp.338-346
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    • 2023
  • The demand for probiotic products has been steadily increasing, and Lactobacillus strains are widely used and are currently the most popular probiotics. Optimizing culture conditions for Lactobacillus production for use as probiotics will enhance their profitability by reducing production costs and time. Statistical analysis using response surface methodology revealed the following optimal sets of independent variables: 22.55 h (cultivation time), 25℃ (cultivation temperature), and 3.41% (w/w, prebiotics concentration) for Lactobacillus acidophilus; 24 h, 30.86℃, and 2% (w/w) for Lactiplantibacillus plantarum; 66.67 h, 35℃, and 3.41% (w/w) for Lacticaseibacillus rhamnosus. Actual outcomes using predicted optimal conditions for Lactobacillus strains have been confirmed to closely match predicted results. This study will provide valuable guidelines for high yield Lactobacillus production.

Optimized Mixing Design of Lightweight Aerated Concrete by Response Surface Analysis (반응표면분석법에 따른 경량기포콘크리트 최적배합 도출에 관한 연구)

  • Lee, Sang-An;Jung, Chan-Woo;Kim, Wha-Jung;Ahn, Jung-Hyun
    • Journal of the Korea Concrete Institute
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    • v.21 no.6
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    • pp.745-752
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    • 2009
  • This paper presents the optimized mixing design of lightweight aerated concrete using hydrogen peroxide. Design of experiments in order to the optimized mixing design was applied and commercial program (MINITAB) was used. Statistical analysis was used to Box-Behnken (B-B) method in response surface analysis. The influencing factors of experimental are unit cement content, water ratio and hydrogen peroxide ratio. According to the analysis of variance, at the hardened state, water ratio and hydrogen peroxide ratio affects on dried density, compressive strength and bending strength of lightweight aerated concrete, but unit cement content affects on only dried density. In the results of response surface analysis, to obtain goal performance, the optimized mixing design for lightweight aerated concrete using hydrogen peroxide were unit cement content of 800 kg/$m^3$, water ratio of 44.33% and hydrogen peroxide ratio of 10%.

Morphology Evolution of GaAs(100) Surfaces during Inductively Coupled Plasma Etching at Biased Potential (유도결합 플라즈마 식각시 bias에 의한 GaAs(100) 표면의 형태 변화)

  • Lee, Sang-Ho
    • Journal of the Korean Vacuum Society
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    • v.16 no.4
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    • pp.250-261
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    • 2007
  • We present the morphological evolution at different source powers in the ion-enhanced etching of GaAs(100) in $BCl_3-Cl_2$ plasma. With little ion bombardment at floating potential, the surface develops <110> ridges and {111} facets, as it does in purely chemical etching. Higher source power (900 W) produces well developed crystallographic surfaces while lower source power (100 W) produces poorly developed crystallographic surfaces. This is attributed to the availability of excited reactive species (chlorine atoms) depending on source powers. With more concentration of the reactive species at higher source powers, the surface of GaAs(100) would be a surface that is expected from thermodynamics while the surface morphology would be determined by sputtering in the lack of reactive species. Statistical analysis of the surfaces, based on scaling theory, revealed two spatial exponents: one (smaller than one) is formed by atomic scale mechanisms, the other (larger than one) is formed by larger scale mechanisms which is believed to develop facets. When samples are biased, the surfaces experienced bombardment resulting in suppression of ridge formation at high source power and islands formation at low source power.

3-Level Response Surface Design by Using Expanded Spherical Experimental Region (확장된 구형설계를 이용한 반응표면설계)

  • Kim, Ha-Yan;Lee, Woo-Sun
    • The Korean Journal of Applied Statistics
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    • v.25 no.1
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    • pp.215-223
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    • 2012
  • Response surface methodology(RSM) is a very useful statistical techniques for improving and optimizing the product process. By this reason, RSM has been utilized extensively in the industrial world, particularly in the circumstances where several product variables potentially influence some quality characteristic of the product. In order to estimate the optimal condition of product variables, an experiment is being conducted defining appropriate experimental region. However, this experimental region can vary with the experimental circumstances and choice of a researcher. Response surface designs can be classified, according to the shape of the experimental region, into spherical and cuboidal. In the spherical case, the design is either rotatable or very near-rotatable. The central composite design(CCD)s widely used in RSM is an example of 5-level and spherical design. The cuboidal CCDs(CCDs with ${\alpha}=1$) is appropriate when an experimental region is cuboidal but this design dose not satisfy the rotatability as it is not spherical. Practically, a 3-level spherical design is often required in the industrial world where various level of experiments are not available. Box-Behnken design(BBD)s are a most popular 3-level spherical designs for fitting second-order response surfaces and satisfy the rotatability but the experimental region does not vary with the number of variables. The new experimental design with expanded experimental region can be considered if the predicting response at the extremes are interested. This paper proposes a new 3-level spherical RSM which are constructed to expand the experimental region together with number of product variables.