• Title/Summary/Keyword: 순차적 2 차 계획법

Search Result 11, Processing Time 0.039 seconds

Optimization of MOF-801 Synthesis Using Sequential Design of Experiments (순차적 실험계획법을 이용한 MOF-801 합성공정 최적화)

  • Lee, Min Hyung;Yoo, Kye Sang
    • Applied Chemistry for Engineering
    • /
    • v.32 no.6
    • /
    • pp.621-626
    • /
    • 2021
  • A sequential design of experiments was used to optimize MOF-801 synthesis process. For the initial screening, a general 2k factorial design was selected followed by the central composition design, one of the response surface methods. A 23 factorial design based on the molar ratio of fumaric acid, dimethylformamide (DMF), and formic acid was performed to select the more suitable response variable for the design of experimental method among the crystallinity and BET specific surface area of MOF-801. After performing 8 synthesis experiments designed by MINITAB 19 software, the characteristic analysis was performed using XRD analysis and nitrogen adsorption method. The crystallinity with R2 = 0.999 was found to be more suitable for the experimental method than that of BET specific surface area. Based on analysis of variance (ANOVA), it was confirmed that the molar ratio of fumaric acid and formic acid was a major factor in determining the crystallinity of MOF-801. Through the response optimization and contour plot of two factors, the optimal molar ratio of ZrOCl2·8H2O : fumaric acid : DMF : formic acid was 1 : 1 : 39 : 35. In order to optimize the synthesis process, the central composition design on synthesis time and temperature was performed under the identical molar ratio of precursors. The results derived through the designed 9 synthesis experiments were calculated using the quadratic model equation. Thus, the maximum crystallinity of MOF-801 predicted under the synthesis time and temperature of 7.8 h and 123 ℃, respectively.

Numerical Shape Optimization for Plate-Fin Type Heat Sink (평판-휜형 방열판의 수치적 형상최적화)

  • 김형렬;박경우;최동훈
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.16 no.3
    • /
    • pp.293-302
    • /
    • 2004
  • In this study the optimization of plate-fin type heat sink for the thermal stability is peformed numerically. The optimum design variables are obtained when the temperature rise and the pressure drop are minimized simultaneously. The flow and thermal fields are predicted using the finite volume method and the optimization is carried out by using the sequential quadratic programming (SQP) method which is widely used in the constrained non-linear optimization problem. The results show that when the temperature rise is less than 34.6K, the optimal design variables are as follows; B$_1$=2.468mm, B$_2$=1.365mm, and t=10.962mm. The Pareto optimal solutions are also presented for the pressure drop and the temperature rise.

Design Optimization of Plate-Fin Type Heat Sink for Thermal Stability (열적안정성을 위한 평판-휜형 방열판 최적설계)

  • Park, Kyoung-Woo;Choi, Dong-Hoon;Lee, Kwan-Soo;Kim, Yang-Hyun
    • Proceedings of the KSME Conference
    • /
    • 2003.11a
    • /
    • pp.43-48
    • /
    • 2003
  • In this study the optimization of plate-fin type heat sink for the thermal stability is performed numerically. The optimum design variables are obtained when the temperature rise and the pressure drop are minimized simultaneously. The flow and thermal fields are predicted using the finite volume method and the optimization is carried out by using the sequential quadratic programming (SQP) method which is widely used in the constrained nonlinear optimization problem. The results show that when the temperature rise is less than 34.6 K, the optimal design variables are as follows; $B_{1}$ = 2.468 mm, $B_{2}$ = 1.365 mm, and t = 10.962 mm. The Pareto optimal solutions are also presented for the pressure drop and the temperature rise.

  • PDF

Flow/Heat Transfer Analysis and Shape Optimization of a Heat Exchanger with Internally Finned Tube (내부휜이 부착된 원형관 열교환기의 열/유동 해석 및 최적설계)

  • Lee Juhee;Lee Sanghwan;Lim Hyo-Jae;Park Kyoungwoo
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.29 no.4 s.235
    • /
    • pp.460-468
    • /
    • 2005
  • Analyses of flow and heat transfer characteristics and shape optimization of internally finned circular tubes have been performed for three-dimensional periodically fully developed turbulent flow and heat transfer. CFD and mathematical optimization are coupled in order to optimize the shape of heat exchanger. The design variables such as fin widths $(d_{1},\;d_{2})$ and fin height (h) are numerically optimized by minimizing the pressure loss and maximizing the heat transfer rate for limiting conditions of $d_{1}=0.2\~1.5\;mm,\;d_{2}=0.2\~1.5\;mm,$ and $h=0.2\~1.5mm$. Due to the periodic boundary conditions along main flow direction, the three layers of meshes are considered. The flow and thermal fields are predicted using the finite volume method and the optimization is carried out by means of the sequential quadratic programming (SQP) method which is widely used in the constrained nonlinear optimization problem.

Security Constrained Optimal Power Flow by Hybrid Algorithms (하이브리드 알고리즘을 응용하여 안전도제약을 만족시키는 최적전력조류)

  • Kim, Gyu-Ho;Lee, Sang-Bong;Lee, Jae-Gyu;Yu, Seok-Gu
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.49 no.6
    • /
    • pp.305-311
    • /
    • 2000
  • This paper presents a hybrid algorithm for solving optimal power flow(OPF) in order to enhance a systems capability to cope with outages, which is based on combined application of evolutionary computation and local search method. The efficient algorithm combining main advantages of two methods is as follows : Firstly, evolutionary computation is used to perform global exploitation among a population. This gives a good initial point of conventional method. Then, local methods are used to perform local exploitation. The hybrid approach often outperforms either method operating alone and reduces the total computation time. The objective function of the security constrained OPF is the minimization of generation fuel costs and real power losses. The resulting optimal operating point has to be feasible after outages such as any single line outage(respect of voltage magnitude, reactive power generation and power flow limits). In OPF considering security, the outages are selected by contingency ranking method(contingency screening model). The OPF considering security, the outages are selected by contingency ranking method(contingency screening model). The method proposed is applied to IEEE 30 buses system to show its effectiveness.

  • PDF

Shape Optimization of a Heat Exchanger with Internally Finned Tube (내부핀이 부착된 원형관 열교환기의 형상 최적화)

  • Lee, Ju-Hee;Lee, Sang-Hwan;Park, Kyoung-Woo;Choi, Dong-Hoon
    • Proceedings of the KSME Conference
    • /
    • 2004.04a
    • /
    • pp.1418-1423
    • /
    • 2004
  • Optimization of a heat exchanger with internally finned circular tubes has been performed for three-dimensional periodically fully developed turbulent flow and heat transfer. The design variables of fin number N, fin width ($d_1,d_2$) and fin height(H), are numerically optimized for the limiting conditions of $N=22{\sim}37$, $d_1=0.5{\sim}1.5$ mm, $d_2=0.5{\sim}1.5$ mm, $H=0.1{\sim}1.5$. Due to the periodic boundary conditions along main flow direction, the three layers of meshes are considered. The CFD and the mathematical optimization are coupled to optimize the heat exchanger. The flow and thermal fields are predicted using the finite volume method and the optimization is carried out by using the sequential quadratic programming (SQP) method which is widely used in the constrained nonlinear optimization problem.

  • PDF

An Application of Design of Experiments for Optimization of MOF-235 Synthesis for Acetylene Adsorption Process (아세틸렌 흡착공정용 MOF-235 합성 최적화를 위한 실험 계획법 적용)

  • Cho, Hyungmin;Yoo, Kye Sang
    • Applied Chemistry for Engineering
    • /
    • v.31 no.4
    • /
    • pp.377-382
    • /
    • 2020
  • A sequential design of experiments was employed to optimize MOF-235 synthesis for acetylene adsorption process. Two experimental designs were applied: a two-level factorial design for screening and a central composite design, one of response surface methodologies (RSM). In this study, 23 factorial design of experiment was used to evaluate the effect of parameters of synthesis temperature and time, and also mixing speed on crystallinity of MOF-235. Experiments were conducted 16 times follwing MINITAB 19 design software for MOF-235 synthesis. Half-normal, pareto, residual, main and interaction effects were drawn based on the XRD results. The analysis of variance (ANOVA) of test results depicts that the synthesis temperature and time have significant effects on the crystallinity of MOF-235 (response variable). After screening, a central composite design was performed to optimize the acetylene adsorption capacity of MOF-235 based on synthesis conditions. From nine runs designed by MINITAB 19, the result was calculated using the second order model equation. It was estimated that the maximum adsorption capacity (18.7 mmol/g) was observed for MOF-235 synthesized at optimum conditions of 86.3 ℃ and 28.7 h.

A Practical Procedure for the Design Optimization of Pile-type Substructure in a Mooring Dolphin (계류돌핀의 말뚝형 하부구조에 대한 실용적 설계 최적화 과정)

  • Ryu, Yeon-Sun;Lee, Nary;Kim, Jeong-Tae;Cho, Hyun-Ma
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.13 no.3
    • /
    • pp.285-294
    • /
    • 2000
  • In this paper, a practical procedure for the design optimization of tubular-steel-pile-type substructure in a mooring dolphin is investigated and numerically evaluated. In the finite-dimensional optimum design formulation, geometry and cross-sectional shapes of classified group of piles are identified as design variables. The design objective is the total weight of piles, and the design constraints on stresses, penetration depth, and size limits are imposed. Several classes of practical design alternatives are sought through the linking and fixing of design variables. Among the available numerical optimization codes, both PLBA program and DNCONF subroutine in IMSL library are used. They are based on SQP algorithm and relatively easy to get. A dolphin of numerical example has 20 tubular steel piles, 4 vertical and 16 inclined. Optimum designs for different cases are successfully obtained for the practical purpose.

  • PDF

Design Optimization of Brake System Using Multi-Rate Spring (Multi-Rate 스프링을 이용한 제동장치의 최적설계)

  • Jung, Eui-Man;Won, Jun-Ho;Choi, Joo-Ho;Shim, In-Seob
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2011.04a
    • /
    • pp.407-410
    • /
    • 2011
  • 본 연구에서는 탑승객의 안전과 국내 환경에 적합한 제동거리 확보를 위해 새로운 개념의 스프링을 사용한 제동장치를 설계하고자 한다. 새로운 제동장치에 사용되는 스프링은 변위에 따라 감쇠 성능 특성을변화시키는 Multi-Rate 변위 감응형 스프링을 최적화하여 적용하였다. 이를 위한 최적화 기법으로는 비선형 최적화 기법인 순차적 2차계획법(Sequential Quadratic Programming, SQP)을 사용하였으며 먼저 Ziprider의 운동을 제동거리와 제동시 발생하는 회전각의 관계로 표현 가능한 수치모델을 개발하였다. 또한 개발된 수치모델은 Matlab을 이용하여 코드화하고 그 결과를 RecurDyn과 비교 분석하였다.

  • PDF

A Study on Updating of Analytic Model of Dynamics for Aircraft Structures Using Optimization Technique (최적화 기법을 이용한 비행체 구조물 동특성 해석 모델의 최신화 연구)

  • Lee, Ki-Du;Lee, Young-Shin;Kim, Dong-Soo
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.37 no.2
    • /
    • pp.131-138
    • /
    • 2009
  • Analytical modal verification is considered as the process to provide an acceptable description of the subject structure's behaviour. In general, results of original analytical model are different with actual structure results to uncertainty like non-linearity of material, boundary and modified shape, etc. In this paper, the dynamic model of glider's wing is correlated with static deformation and vibration test results by goal-attainment method, multi-objects optimization technique. The structural responses are predicted by using finite element method and optimization is carried out by using the SQP(sequential quadratic programming) method which is widely used in the constrained nonlinear optimization problem. The MAC(Modal Assurance Criterion) is used to modify the mode shapes and quantify the similarity.