• Title/Summary/Keyword: simplex method

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Application of Optimal PID Controller for the Frequency Control of Power Systems (전력계통 주파수 제어를 위한 최적 PID 제어기 적용)

  • Kim, H.J.;Wang, Y.P.;Cho, K.S.;Chung, D.I.;Chung, H.H.
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.113-117
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    • 1992
  • This paper is discribed to the application of PID controller for the frequency control of power systems. The proposed optimal PID controller is designed to obtain gain Parameters of P,I,D's coefficients according to optimization technique using the relatively ingeneous simplex method. The PID controller which is applied to one area, tie-line two area with(or without) exciter is showed good performance rather than that of optimal Pl controllor.

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Optimal Design of a Squeeze Film Damper Using an Enhanced Genetic Algorithm

  • Ahn, Young-Kong;Kim, Young-Chan;Yang, Bo-Suk
    • Journal of Mechanical Science and Technology
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    • v.17 no.12
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    • pp.1938-1948
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    • 2003
  • This paper represents that an enhanced genetic algorithm (EGA) is applied to optimal design of a squeeze film damper (SFD) to minimize the maximum transmitted load between the bearing and foundation in the operational speed range. A general genetic algorithm (GA) is well known as a useful global optimization technique for complex and nonlinear optimization problems. The EGA consists of the GA to optimize multi-modal functions and the simplex method to search intensively the candidate solutions by the GA for optimal solutions. The performance of the EGA with a benchmark function is compared to them by the IGA (Immune-Genetic Algorithm) and SQP (Sequential Quadratic Programming). The radius, length and radial clearance of the SFD are defined as the design parameters. The objective function is the minimization of a maximum transmitted load of a flexible rotor system with the nonlinear SFDs in the operating speed range. The effectiveness of the EGA for the optimal design of the SFD is discussed from a numerical example.

A GENETIC ALGORITHM BASED ON OPTIMALITY CONDITIONS FOR NONLINEAR BILEVEL PROGRAMMING PROBLEMS

  • Li, Hecheng;Wang, Yuping
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.597-610
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    • 2010
  • For a class of nonlinear bilevel programming problems in which the follower's problem is linear, the paper develops a genetic algorithm based on the optimality conditions of linear programming. At first, we denote an individual by selecting a base of the follower's linear programming, and use the optimality conditions given in the simplex method to denote the follower's solution functions. Then, the follower's problem and variables are replaced by these optimality conditions and the solution functions, which makes the original bilevel programming become a single-level one only including the leader's variables. At last, the single-level problem is solved by using some classical optimization techniques, and its objective value is regarded as the fitness of the individual. The numerical results illustrate that the proposed algorithm is efficient and stable.

Optimal Design of Aircraft Gas Turbine System supported by Squeeze Film Damper Using Combined Genetic Algorithm (조합 유전 알고리듬을 이용한 항공기 엔진 시스템의 최적설계)

  • 김영찬;안영공;양보석;길병래
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.514-519
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    • 2003
  • The aircraft engine is usually supported by rolling element bearings and has a small damping rate, which is vol y sensitive to external force. The high-performance requirement of the rotors leads to complex assembly designs and are more flexible. Squeeze film dampers (SFDs) are introduced to provide damping while crossing the critical speeds and stability to the rotor s :stem. Hence, the focus of the present investigation is on the decision of an optimal size of the flexible rotor system supported by the squeeze film dampers to minimize the maximum transmitted load and unbalance response over a range operating speeds. The enhanced genetic algorithm (EGA), which was developed by authors, is used in the optimization process. This algorithm is based on the synthesis of a modified genetic algorithm and simplex method. The results show significant benefits in using EGA when compared with nonlinear programming (NLP).

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Simulation of the Coagulation Process of Poly(acrylonitrile) Wet-Spinning (폴리아크릴로니트릴 습식 방사의 응고공정에 대한 모사연구)

  • 오세천;여영구
    • Proceedings of the Korea Society for Simulation Conference
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    • 1999.10a
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    • pp.186-191
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    • 1999
  • The coagulation process of PAN (poly(acrylonitrile)) wet-spinning was modeled and simulated based on the numerical analysis of the coagulation of a viscous polymer solution by diffusional interchange with a bath. Experiments were performed with gelled solutions of PAN in nitric acid to determine the diffusion rate of solvent and nonsolvent (water) during the coagulation. The experimental data were analyzed by using equations of diffusion coefficient which are the function of the solvent concentrations of the coagulation bath and the filament. The concentration profile of solvent in moving filament was predicted by solving the diffusion model equation numerically. A simplex method was used in the computation of the parameters of the diffusion equations to minimize the difference between the numerical results and experimental data.

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Construction of an expression vector with SV40 DNA in a mammalian cell (SV 40 DNA를 이용한 포유동물의 유전자 운반체 개발)

  • 정민혜;김상해;전희숙;노현모
    • Korean Journal of Microbiology
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    • v.25 no.3
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    • pp.165-172
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    • 1987
  • An expression vector in a mammalian cell was constructed using the origin of replication (OR) and the promoters of SV40. The plasmid pSVOE was constructed by inserting SV40 DNA fragment (1, 118bp) containing SV40 OR and promoters into pBR322-1, and then a multiple cloning sequence was inserted at the immediate downstream of the late promoter of SV40 in the pSVOE vector. The plasmid was named pSVML. As a selection marker, thymidine kinase gene of herpes simplex virus with its promoter was inserted into EcoRI site of pSVML and the recombinant was named pSVML-TKp. To test the expression capacity of foreigen gene inserted at the multiple cloning site of pSVML, the thymidine kinase gene without its own promoter was inserted at the BamHI site of pSVML. The recombinant was named pSVML-TK. These plasmids, pSVML-TKp and pSVML-TK, were transfected into COS cells with calcium phosphate precipitation method. The thymidine kinase activity was significantly increased in both transfected cells.

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A modeling for an ionospheric channel using recursive digital filter (Recursive 디지털 필터에 의한 전리층 채널 모델링)

  • 김성진
    • Journal of the Institute of Convergence Signal Processing
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    • v.5 no.2
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    • pp.143-150
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    • 2004
  • In this paper, a recursive digital filter realization for an ionospheric channel model is proposed. This realization is in the form of a cascade of identical second-order all-pass filters, and is determined by only three parameters; two coefficients of an all-pass section, and the number of sections. The values of these parameters are optimized by a nonlinear optimization algorithm called the "downhill simplex method", so that the resulting time delay function closely approximates that of the ionospheric channel model. Comparing with the nonrecursive digital filter realization, it can be shown that the proposed recursive-digital-filter-realization is advantageous in points of view for the numbers of filter coefficients and the realization.

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Problem Solution of Linear Programming based Neural Network

  • Son, Jun-Hyug;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
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    • 2004.05a
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    • pp.98-101
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    • 2004
  • Linear Programming(LP) is the term used for defining a wide range of optimization problems in which the objective function to be minimized or maximized is linear in the unknown variables and the constraints are a combination of linear equalities and inequalities. LP problems occur in many real-life economic situations where profits are to be maximized or costs minimized with constraint limits on resources. While the simplex method introduced in a later reference can be used for hand solution of LP problems, computer use becomes necessary even for a small number of variables. Problems involving diet decisions, transportation, production and manufacturing, product mix, engineering limit analysis in design, airline scheduling, and so on are solved using computers. This technique is called Sequential Linear Programming (SLP). This paper describes LP's problems and solves a LP's problems using the neural networks.

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Excess Molar Volumes and Enthalpies for 1,2-dichloropropane + 2-methoxyethanol at the Temperature 298.15K. (1,2-dichloropropane(l) - 2-methoxyethanoI(2)계의 과잉 몰 부피 및 과잉 몰 엔탈피의 측정)

  • Kim, Moon-Gab;Lee, Young-Sei
    • Journal of the Korean Society of Industry Convergence
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    • v.4 no.2
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    • pp.193-198
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    • 2001
  • 2성분계 혼합물(1,2-dichloropropane + 2-methoxyethanol)에 대해 과잉몰 부피(excess molar volumes) $V^E$ 및 과잉 몰엔탈피(excess molar enthalpies) $H^E$를 298.15K에서 측정하였다. 혼합물의 밀도측정은 digital vibrating tube densimeter를 이용하였고, 과잉 몰엔탈피는 isothermal flow microcalorimeter를 이용하였다. 측정한 과잉 몰부피는 전 조성 영역에서 양의 편차를 나타내었으며, 과잉 몰엔탈피는 S 자형용 보였다. 또한 얻어진 data는 Nelder- Mead의 simplex method를 이용하여 Redlich-Kister 다항식에 접합 (fitting)하였다.

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Real-time Upstream Inflow Forecasting for Flood Management of Estuary Dam (담수호 홍수관리를 위한 상류 유입량 실시간 예측)

  • Kang, Min-Goo;Park, Seung-Woo;Kang, Moon-Seong
    • Journal of Korea Water Resources Association
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    • v.38 no.12 s.161
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    • pp.1061-1072
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    • 2005
  • A hydrological grey model is developed to forecast short-term river runoff from the Naju watershed located at upstream of the Youngsan estuary dam in Korea. The runoff of the Naju watershed is measured in real time at the Naju streamflow gauge station, which is a key station for forecasting the upstream inflow and operating the gates of the estuary dam in flood period. The model's governing equation is formulated on the basis of the grey system theory. The model parameters are reparameterized in combination with the grey system parameters and estimated with the annealing-simplex method In conjunction with an objective function, HMLE. To forecast accurately runoff, the fifth order differential equation was adopted as the governing equation of the model in consideration of the statistic values between the observed and forecast runoff. In calibration, RMSE values between the observed and simulated runoff of two and six Hours ahead using the model range from 3.1 to 290.5 $m^{3}/s,\;R^2$ values range from 0.909 to 0.999. In verification, RMSE values range from 26.4 to 147.4 $m^{3}/s,\;R^2$ values range from 0.940 to 0.998, compared to the observed data. In forecasting runoff in real time, the relative error values with lead-time and river stage range from -23.4 to $14.3\%$ and increase as the lead time increases. The results in this study demonstrate that the proposed model can reasonably and efficiently forecast runoff for one to six Hours ahead.