• Title/Summary/Keyword: Powell's method

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Derivation of Probable Rainfall Intensity Formula Using Genetic Algorithm (유전자 알고리즘을 이용한 확률강우강도식의 산정)

  • La, Chang-Jin;Kim, Joong-Hoon;Lee, Eun-Tai;Ahn, Won-Sik
    • Journal of the Korean Society of Hazard Mitigation
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    • v.1 no.1 s.1
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    • pp.103-115
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    • 2001
  • The current procedure to design hydraulic structures in a small basin area is to estimate the probable rainfall depth using rainfall intensity formula. The estimation of probable rainfall depth has many uncertainties inherent with it. However, it has been inevitable to simplify the nonlinearity if the rainfall in practice. This study attend to address a method which can model the nonlinearity in order to derive better rainfall intensity formula for the estimation of probable rainfall depth. The results show that genetic algorithm is more reliable and accurate than trial-and-error method or nonlinear programming technique(Powell's method) in the derivation of the rainfall intensity formula.

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A Study on the Optimal Design of a R-S-S-R Three Dimensional Mechanism (3次元 R-S-S-R 機構의 最適設計 에 관한 硏究)

  • 김호룡;김경률
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.4
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    • pp.528-538
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    • 1985
  • A R-S-S-R three dimensional mechanism is designed for crank-rocker type through the optimization technique. The nonlinear kinematic equation of the mechanism is formulated by adopting the concept of structural error and precision points. Taking this equation as an objective function, the required mechanism is optimally synthesized by the Fletcher-Davidon-Powell's method of optimization techniques. The structural errors due to the various positions of precision points are compared, and the results from the use of two penalty functions suggested respectively by Fiacco-McCormick and by Powell are also compared on their effectiveness. The mobility of the optimally designed mechanism is checked for the possibility of its motion, and when a mechanism is optimally designed, it is strongly suggested that the mobility must be checked on the designed mechanism.

Automatic Parameter Estimation Considering Runoff Components on Tank Model (유출성분을 고려한 Tank 모형의 매개변수 자동추정)

  • Bae, Deg-Hyo;Jeong, Il-Won;Kang, Tae-Ho;Noh, Joon-Woo
    • Journal of Korea Water Resources Association
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    • v.36 no.3 s.134
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    • pp.423-436
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    • 2003
  • The objective of this study is to propose an automatic parameter estimation scheme considering runoff components of Tank model. It estimates model parameters by Powell's automatic algorithm based on the runoff component separation of the observed hydrograph by using digital filter method. The selected study areas are the 4 main dam sites on the Han River. The simulated flows are compared with the observed flows depending on whether runoff component consideration or not. As a result, the estimated model parameters from classical Powell's method only can relatively well simulate the time variation of total runoff, but gives poor runoff component simulations. Therefore, it can be concluded that the proposed automatic parameter estimation scheme in this study Is more reliable and objective.

Algorithms and Programs for Optimization of Large-Scale Dynamic System (대형동적 시스템의 최적화 앨고리즘 및 프로그램 개발에 관한 연구)

  • 양흥석;박영문;김건중
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.32 no.4
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    • pp.121-127
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    • 1983
  • In this paper an efficient algorithm for Pontriagin's maximum principle is developed. Fletcher-Powell method is adopted as optimization technique which shows fast and stable convergence characteristics. Terminal constraints are alse considered by using Hestens' algorithm and penalty function method together. Control variable inequality constraints are also considered by using Gradient Projection technique combined with Flectcher-Powell method. Test experiment shows good and reliable results.

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Flow of MHD Powell-Eyring nanofluid: Heat absorption and Cattaneo-Christov heat flux model

  • Sharif, Humaira;Khadimallah, Mohamed A.;Naeem, Muhammad Nawaz;Hussain, Muzamal;Hussain, Sajjad;Tounsi, Abdelouahed
    • Advances in nano research
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    • v.10 no.3
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    • pp.221-234
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    • 2021
  • During the previous few years, phenomenon of bioconvection along with the use of nanoparticles showed large number of applications in technological and industrial field. This paper analyzed the bioconvection phenomenon in magnetohydrodynamic boundary layer flow of a Powell-Eyring nanoliquid past a stretchable cylinder with Cattaneo-Christov heat flux. In addition, the impacts of chemical reaction and heat generation/absorption parameter are considered. By the use of appropriate transformation, the governing PDEs (nonlinear) have been transformed and formulated into nonlinear ODEs. The resulting nonlinear ODEs subjected to relevant boundary conditions are solved analytically through homotopy analysis method which is programmed in Mathematica software. Graphical and numerical results versus physical quantities like velocity, temperature, concentration and motile microorganism are investigated under the impact of physical parameters. It is noted that velocity profile enhances as the curvature parameter A and Eyring-Powell fluid parameter M increases but a decline manner for large values of buoyancy ratio parameter Nr and bio-convection Rayleigh number Rb. In the presence of Prandtl number Pr, Eyring-Powell fluid parameter M and heat absorption parameter ��, temperature profile decreases. Nano particle concentration profile increases for increasing values of magnetic parameter Ha and thermophoresis parameter Nt. The motile density profile has revealed a decrement pattern for higher values of bio-convection Lewis number Lb and bio-convection peclet number Pe. This study may find uses in bio-nano coolant systems, advance nanomechanical bio-convection energy conversion equipment's, etc.

A Study on Design of Band Pass Filter using Ring Resonators (링 공진기를 사용한 대역통과 필터의 설계에 관한 연구)

  • Kim, Dong-Il;Kim, Bo-Young;Rui, Li
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.6
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    • pp.533-539
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    • 2004
  • In this work, in order to realize a band pass filter with wide-band characteristics for mobile communications, 2 GHz band pass filter was designed using ring resonator with stub. The three stage wide-band BPF was designed and fabricated. For broadband design, the ring circumference was divided by 4 sections with 1/8 wavelength and 2 sections with 1/4 wavelength which have different line impedances. The characteristics of the proposed BPF were highly improved by using three stage ring resonator. The characteristic impedance values of each sections were obtained by Powell's least square algorithm where differentiations are not needed. The measured results showed a good agreement with the theoretical results as well as ADS simulation.

Algorithm for Economic Load Dispatch by the Nonlinear Programming Method (비선형계획법에 의한 자동경제급전 알고리즘의 개발에 관한 연구)

  • 박영문;김건중
    • 전기의세계
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    • v.26 no.1
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    • pp.77-81
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    • 1977
  • This paper aims to develope a new algorithm to overcome the disadvantages of the conventional E.L.D system based on the B-Constants and Penalty-Factors scheme. The main features of this paper are that the Variabiable Decoupled Method usually employed in the Load-Flow studies is introduced to the E.L.D. algorithm developed by Sasson, using the Powell's Nonlinear Programming Scheme. Besides this, other minor refinements are made to reduce memory spaces and computing time. Case studies show that the method suggested here has the remarkable advantages of computing efficiency and memory requirements over Sasson's.

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ON THE CONVERGENCE OF THE UOBYQA METHOD

  • Han, Lixing;Liu, Guanghui
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.125-142
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    • 2004
  • We analyze the convergence properties of Powell's UOBYQA method. A distinguished feature of the method is its use of two trust region radii. We first study the convergence of the method when the objective function is quadratic. We then prove that it is globally convergent for general objective functions when the second trust region radius p converges to zero. This gives a justification for the use of p as a stopping criterion. Finally, we show that a variant of this method is superlinearly convergent when the objective function is strictly convex at the solution.

Research on Variable Girder Types and Tendon Arrangement of PSC Box Girder Bridges by using the Optimum Design (최적설계에 의한 PSC 박스 거더교의 변단면 거더유형과 긴장재 배치에 관한 연구)

  • Kim, Ki-Wook
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.10 no.3
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    • pp.175-185
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    • 2006
  • This study performed the optimum design of balanced and unbalanced span length bridges with many variable Girder types by using the optimum design program to minimize the cost for PSC box girder bridge of the full staging method. The objective of this study is to present tendon's application direction about complicated construction hereafter by studying about optimum tendon arrangement that is worked in each variable Girder type. This program used SUMT procedure and Kavlie's extended penalty function to allow infeasible design points in the process. Powell's direct method was used in searching design points and Gradient Approximate Method was used to reduce design hours.

Research on the Optimum Design for PSC Box Girder Bridges Using the Full Staging Method (FSM 공법 PSC 박스 거더교의 최적설계에 관한 연구)

  • Kim, Ki-Wook;Park, Moon-Ho;Chang, Chun-Ho
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.3
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    • pp.159-167
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    • 2004
  • The objective of this study is development of the optimum design program to minimize the cost for PSC box girder bridge using the full staging method to indicate the necessity for the optimum design applied many types of bridges. It also considered the proper span length to girder depth ratio and the cell number along the width of bridge. This program used SUMT procedure and Kavlie's extended penalty function to allow infeasible design points in the process. Powell's direct method was used in searching design points and Gradient Approximate Method was used to reduce design hours. This study showed the convergence in design parameter and correlation of totally optimized cost according to cell numbers, span lengths, and lane numbers.