• Title/Summary/Keyword: 최적라틴하이퍼큐브

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Design and Analysis of Computer Experiments with An Application to Quality Improvement (품질 향상에 적용되는 전산 실험의 계획과 분석)

  • Jung Wook Sim;Jeong Soo Park;Jong Sung Bae
    • The Korean Journal of Applied Statistics
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    • v.7 no.1
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    • pp.83-102
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    • 1994
  • Some optimal designs and data analysis methods based on a Gaussian spatial linear model for computer simulation experiments are considered. For designs of computer experiments, Latin-hypercube designs and some optimal designs are combined. A two-stage computational (2-points exchange and Newton-type) algorithm for finding the optimal Latin-hypercube design is presented. The spatial prediction model which was discussed by Sacks, Welch, Mitchell and Wynn(1989) for computer experiments, is used for analysis of the simulated data. Moreover, a method of contructing sequential (optimal) Latin-hypercube designs is considered. An application of this approach to the quality improvement and optimization of the integrated circuit design via the main-effects plot and the sequential experimental strategy is presented.

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격자기반(Lattice-based) 라틴 하이퍼큐브(Latin hypercube) 계획의 제안

  • 황현식;박정수
    • Proceedings of the Korean Statistical Society Conference
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    • 2001.11a
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    • pp.115-120
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    • 2001
  • 라틴 하이퍼큐브 실험계획은 전산실험을 위하여 Mckay, Beckman과 Conover(1979)에 의해 고안된 방법으로 실험을 한번 시행하는데 많은 시간과 비용이 들거나 인자가 많은 실험에 효율적으로 사용할 수 있다. 하지만 이 실험계획 역시 실험영역 전체에서 골고루 배치되지 않을 가능성이 있으므로 이를 보완하려는 시도가 이루어져 왔으며, 여기서는 good lattice points(glp)와 계통추출을 응용하여 격자기반(lattice-based) Lhd의 두 가지 방법을 제안하였다. 모의실험 결과 glp 실험계획을 응용한 "방법 1"은 모형을 가정한 엔트로피에 기초한 최적 기준으로 검토한 경우 우수하였다. "방법 2"는 표본조사에 널리 쓰이는 계통추출을 응용하였으며 입력변수가 각기 다른 9개의 실험함수에 관하여 표본 평균의 추정치와 분산, MSE를 비교한 결과, 다른 실험계획들보다 우수하였다. 이 결과는 실험점이 실험영역 전체에서 골고루 퍼져서 나타난 것으로 보이며, 향후 전산실험계획에서의 응용을 기대할 수 있다.

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Optimization of Wind Turbine Pitch Controller by Neural Network Model Based on Latin Hypercube (라틴 하이퍼큐브 기반 신경망모델을 적용한 풍력발전기 피치제어기 최적화)

  • Lee, Kwangk-Ki;Han, Seung-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.9
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    • pp.1065-1071
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    • 2012
  • Wind energy is becoming one of the most preferable alternatives to conventional sources of electric power that rely on fossil fuels. For stable electric power generation, constant rotating speed control of a wind turbine is performed through pitch control and stall control of the turbine blades. Recently, variable pitch control has been implemented in modern wind turbines to harvest more energy at variable wind speeds that are even lower than the rated one. Although wind turbine pitch controllers are currently optimized using a step response via the Ziegler-Nichols auto-tuning process, this approach does not satisfy the requirements of variable pitch control. In this study, the variable pitch controller was optimized by a genetic algorithm using a neural network model that was constructed by the Latin Hypercube sampling method to improve the Ziegler-Nichols auto-tuning process. The optimized solution shows that the root mean square error, rise time, and settle time are respectively improved by more than 7.64%, 15.8%, and 15.3% compared with the corresponding initial solutions obtained by the Ziegler-Nichols auto-tuning process.

Design Optimization of a Centrifugal Compressor Impeller Considering the Meridional Plane (자오면 형상을 고려한 원심압축기 임펠러 최적설계)

  • Kim, Jin-Hyuk;Choi, Jae-Ho;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.12 no.3
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    • pp.7-12
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    • 2009
  • In this paper, shape optimization based on three-dimensional flow analysis has been performed for impeller design of centrifugal compressor. To evaluate the objective function of an isentropic efficiency, Reynolds-averaged Navier-Stokes equations are solved with SST (Shear Stress Transport) turbulence model. The governing equations are discretized by finite volume approximations. The optimization techniques based on the radial basis neural network method are used for the optimization. Latin hypercube sampling as design of experiments is used to generate thirty design points within design space. Sequential quadratic programming is used to search the optimal point based on the radial basis neural network model. Four geometrical variables concerning impeller shape are selected as design variables. The results show that the isentropic efficiency is enhanced effectively from the shape optimization by the radial basis neural network method.

SHAPE OPTIMIZATION OF INTERNAL COOLING CHANNEL WITH STEPPED CIRCULAR PIN-FINS (단을 가진 원형 핀휜이 부착된 냉각유로의 형상 최적 설계)

  • Moon, M.A.;Kim, K.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.229-232
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    • 2008
  • This study presents a numerical procedure to optimize the shape of stepped circular pin-fins to enhance turbulent heat transfer. The KRG method is used as an optimization technique with Reynolds-averaged Navier-Stokes analysis of fluid flow and heat transfer with shear stress transport turbulent model. The objective function is defined as a linear combination of heat transfer and friction loss related terms with a weighting factor. Ten training points are obtained by Latin Hypercube Sampling for two design variables. Optimum shape has been successfully obtained with the increased objective function.

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SHAPE OPTIMIZATION OF INTERNAL COOLING CHANNEL WITH STEPPED CIRCULAR PIN-FINS (단을 가진 원형 핀휜이 부착된 냉각유로의 형상 최적 설계)

  • Moon, M.A.;Kim, K.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.229-232
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    • 2008
  • This study presents a numerical procedure to optimize the shape of stepped circular pin-fins to enhance turbulent heat transfer. The KRG method is used as an optimization technique with Reynolds-averaged Navier-Stokes analysis of fluid flow and heat transfer with shear stress transport turbulent model. The objective function is defined as a linear combination of heat transfer and friction loss related terms with a weighting factor. Ten training points are obtained by Latin Hypercube Sampling for two design variables. Optimum shape has been successfully obtained with the increased objective function.

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Design Optimization of a Channel Roughened by Dimples Using Weighted Average Surrogate Model (가중평균 대리모델을 사용한 딤플 유로의 최적설계)

  • Lee, Ki-Don;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.11 no.1
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    • pp.52-60
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    • 2008
  • Staggered dimples printed on opposite walls of an internal cooling channel are formulated numerically and optimized to enhance heat transfer performance. Nusselt number and friction factor based objectives are considered and a weighted average surrogate model is used to approximate the data generated by numerical simulation. The dimpled channel shape is defined by three geometric design variables, and the design point within design space are selected using Latin hypercube sampling. A weighted-sum method for multi-objective optimization is applied to integrate multiple objectives into a single objective. By the optimization, the objective function value is improved largely and heat transfer rate is increase much higher than pressure loss increase due to shape deformation. Channel with vertically non-symmetric optimum dimples is tested and found that the best appears if dimples on opposite wall are displaced by one quarter of dimple spacing.

Design Optimization of a Staggered Dimpled Channel Using Neural Network Techniques (신경회로망기법을 사용한 엇갈린 딤플 유로의 최적설계)

  • Shin, Dong-Yoon;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.10 no.3 s.42
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    • pp.39-46
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    • 2007
  • This study presents a numerical procedure to optimize the shape of staggered dimple surface to enhance turbulent heat transfer in a rectangular channel. The RBNN method is used as an optimization technique with Reynolds-averaged Navier-Stokes analysis of fluid flow and heat transfer with shear stress transport (SST) turbulence model. The dimple depth-to-dimple print diameter (d/D), channel height-to-dimple print diameter ratio (H/D), and dimple print diameter-to-pitch ratio (D/S) are chosen as design variables. The objective function is defined as a linear combination of heat transfer related term and friction loss related term with a weighting factor. Latin Hypercube Sampling (LHS) is used to determine the training points as a mean of the design of experiment. The optimum shape shows remarkable performance in comparison with a reference shape.

Optimization of Boss Shape for Damage Reduction of the Press-fitted Shaft End (압입축 끝단의 손상저감을 위한 보스부 형상 최적설계)

  • Byon, Sung-Kwang
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.14 no.3
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    • pp.85-91
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    • 2015
  • The press-fit shaft is an important part used in automobiles, vessels, and trains. This study proposes an optimized design method to reduce damage that may occur in the press-fitted shaft by modifying the shape of the boss step of the press-fitted shaft. To reduce the time and cost of running the optimized design method, an approximate design optimization is applied and an optimized algorithm is generated using a genetic algorithm that is widely used in engineering fields and an approximate model using a response surface method. The planned experiments for the data that are needed to generate the approximate model use a central composite design (CCD) and Latin hypercube sampling (LHS), and the results of the approximate optimization using the above two design of experiments are to be compared.

High-Efficiency Design of Axial Flow Fan through Shape Optimization of Airfoil (익형의 형상최적화를 통한 고효율 축류송풍기 설계)

  • Lee, Ki-Sang;Kim, Kwang-Yong;Choi, Jae-Ho
    • The KSFM Journal of Fluid Machinery
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    • v.11 no.2
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    • pp.46-54
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    • 2008
  • This study presents a numerical optimization to optimize an axial flow fan blade to increase the efficiency. The radial basis neural network is used as an optimization method with the numerical analysis by Reynolds-averaged Navier-Stokes equations using SST model as turbulence closure. Four design variables related to airfoil maximum camber, maximum camber location, leading edge radius and trailing edge radius, respectively, are selected, and efficiency is considered as objective function which is to be maximized. Thirty designs are evaluated to get the objective function values of each design used to train the neural network. Optimum shape shows the efficiency increased by 1.0%.