• Title/Summary/Keyword: optimal point

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Design of Optimal Locating Point of the Hydraulic Cylinder Actuating a Roller-Link Type Rotating Floodgate (콤플렉스법에 의한 롤러-링크 부착형 전도수문 구동용 유압실린더의 최적 설치점 설계)

  • Lee, S.R.
    • Journal of Drive and Control
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    • v.9 no.3
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    • pp.29-36
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    • 2012
  • The hydraulic cylinder is used for actuating the roller-link type rotating floodgate which controls the volume of water in the reservoir. The locating points of hydraulic cylinder are restricted to the limited space and determined to minimize the cylinder force necessary for actuating the floodgate. Generally, the head end point of cylinder is fixed at underground and the rod end point of cylinder is connected to the support link. Therefore there exist three design variables to be determined to minimize the cylinder force within the rotating range of floodgate. First, the mathematical model of the roller-link type rotating floodgate is derived to find the cylinder force corresponding to the floodgate angle. Then, the optimal locating point of hydraulic cylinder is searched using the complex method that is one kind of constrained direct search method.

Coefficient change of objective function not change to the basic vector make a optimum solution (최적해를 이루는 기저벡터가 변화를 초래하지 않는 목적함수계수의 변화)

  • 송필준;김정숙
    • Journal of Korea Society of Industrial Information Systems
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    • v.7 no.1
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    • pp.58-65
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    • 2002
  • When we estimate the optimal solution satisfy the objective function and subjective equation in the integer programming, The optimal solution of the objective function Z is decided by the positive integer at extreme point or revised extreme point in the convex set. The convex set is made up the linear subjective equation. The purpose of the paper is thus to establish a stepwise optimization in the integer programming model by estimating the variation △C/sub j/ of the constant term C/sub j/ in the linear objective function, after an application of the modified Branch & Bound method.

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Non-Interior Point Optimal Power Flow Algorithm for Sectional Distribution System Operation (영역별 배전계통 운용을 위한 Non-Interior Point OPF 알고리즘)

  • Lee, S.S.;Kim, D.H.;Kim, M.K.;Lee, H.C.;Lee, S.K.;Park, J.K.;Moon, S.I.;Yoon, Y.T.
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.567-568
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    • 2007
  • 본 논문에서는 구역별 배전계통운영을 위하여 Non-interior point 배전용 최적조류계산(Distribution non-interior point optimal power flow: NIPDOPF) 알고리즘을 소개한다. NIPDOPF 알고리즘은 향후 지역이나 구역으로 분산전원이 도입될 경우 이를 대비한 영역별 최적조류계산 알고리즘으로 이용할 수 있다.

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Static Optimal Shapes of Tapered Beams with Constant Volume (일정체적 변단면 보의 정적 최적 단면)

  • Lee Tae-Eun;Kang Hee-Jong;Kim Kwon-Sik;Lee Byoung-Koo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.79-86
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    • 2005
  • This paper deals with the static optimal shapes of simple beams which are subjected to a vertical point load. The area and second moment of inertia of the regular polygon cross-section of the tapered beams are determined, which have always same volume and same length for the parabolic taper. The differential equation governing the elastic curve is derived using the small deflection theory and solved numerically. By using the numerical results of deflections, rotations and bending stresses of such beams, the optimal shapes, namely, optimal section ratios, of the beams subjected to a single point load according to variation of load position parameters are determined and presented in the figures. Examples of the static optimal shapes for beams with a single load and multiple loads are reported. The design process of this study can be used directly for the minimum weight design of simple beams.

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A METHOD USING PARAMETRIC APPROACH WITH QUASINEWTON METHOD FOR CONSTRAINED OPTIMIZATION

  • Ryang, Yong-Joon;Kim, Won-Serk
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.127-134
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    • 1989
  • This paper proposes a deformation method for solving practical nonlinear programming problems. Utilizing the nonlinear parametric programming technique with Quasi-Newton method [6,7], the method solves the problem by imbedding it into a suitable one-parameter family of problems. The approach discussed in this paper was originally developed with the aim of solving a system of structural optimization problems with frequently appears in various kind of engineering design. It is assumed that we have to solve more than one structural problem of the same type. It an optimal solution of one of these problems is available, then the optimal solutions of thel other problems can be easily obtained by using this known problem and its optimal solution as the initial problem of our parametric method. The method of nonlinear programming does not generally converge to the optimal solution from an arbitrary starting point if the initial estimate is not sufficiently close to the solution. On the other hand, the deformation method described in this paper is advantageous in that it is likely to obtain the optimal solution every if the initial point is not necessarily in a small neighborhood of the solution. the Jacobian matrix of the iteration formula has the special structural features [2, 3]. Sectioon 2 describes nonlinear parametric programming problem imbeded into a one-parameter family of problems. In Section 3 the iteration formulas for one-parameter are developed. Section 4 discusses parametric approach for Quasi-Newton method and gives algorithm for finding the optimal solution.

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Economic-based approach for predicting optimal water pipe renewal period based on risk and failure rate

  • Kim, Kibum;Seo, Jeewon;Hyung, Jinseok;Kim, Taehyeon;Kim, Jaehag;Koo, Jayong
    • Environmental Engineering Research
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    • v.24 no.1
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    • pp.63-73
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    • 2019
  • This study suggests a method for calculating the benefits of water pipe renewal based on an estimate of the water supply suspension risk. The proposed method based on five benefit items is more direct and specific than other benefit estimation methods. In addition, a methodology evaluating the economics of pipe renewal based on pipe failure rate is proposed for estimating the optimal renewal point from an economic perspective. By estimating the optimal renewal period based on a yearly benefit cost ratio per pipe in a case study area, it was possible to draft an optimal renewal plan for the subject region from an economic perspective. Compared with other methodologies, a reasonable optimal renewal period was derived from an economic point of view. The result of this study may be used to develop future water pipe renewal plans. Moreover, the proposed methodologies and results derived from this study can be applied to asset management plans.

The Numerical Solution of Time-Optimal Control Problems by Davidenoko's Method (Davidenko법에 의한 시간최적 제어문제의 수치해석해)

  • Yoon, Joong-sun
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.5
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    • pp.57-68
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    • 1995
  • A general procedure for the numerical solution of coupled, nonlinear, differential two-point boundary-value problems, solutions of which are crucial to the controller design, has been developed and demonstrated. A fixed-end-points, free-terminal-time, optimal-control problem, which is derived from Pontryagin's Maximum Principle, is solved by an extension of Davidenko's method, a differential form of Newton's method, for algebraic root finding. By a discretization process like finite differences, the differential equations are converted to a nonlinear algebraic system. Davidenko's method reconverts this into a pseudo-time-dependent set of implicitly coupled ODEs suitable for solution by modern, high-performance solvers. Another important advantage of Davidenko's method related to the time-optimal problem is that the terminal time can be computed by treating this unkown as an additional variable and sup- plying the Hamiltonian at the terminal time as an additional equation. Davidenko's method uas used to produce optimal trajectories of a single-degree-of-freedom problem. This numerical method provides switching times for open-loop control, minimized terminal time and optimal input torque sequences. This numerical technique could easily be adapted to the multi-point boundary-value problems.

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Micro Electrochemical Machining using Anodic Polarization Curve (양극분극곡선을 미용한 미세 전해가공)

  • 최영수;강성일;전종업;박규열
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.999-1002
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    • 2002
  • In this research, the mechanism of micro-ECM was investigated with potentiodynamic method and the optimal condition for micro-ECM was selected by voltage-current-time curve with potentiostatic method. From the experimental result. it was confirmed that anodic voltage curve could be used very effectively for determining the optimal condition of micro-ECM, and the micro part which has extremely fine surface could be fabricated by use of micro-ECM with point electrode method.

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Standalone GPS 기준점을 사용한 DGPS 성능 평가

  • 고광섭;홍성래;정세모
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 1998.11a
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    • pp.248-251
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    • 1998
  • 본 연구에서는, GPS 기준점(Optimal reference point)을 기준으로 한 DGPS(Differential Global Positioning System)와, 준 기준점(Sut-optimal reference point)을 기준으로 한 DGPS 시스템을 구현하였다. 이러한 2가지 DGPS 시스템으로부터 얻은 위치를 분석 평가하고, 그 결과를 나타냈다. 실험 결과, 준기준점을 기준으로 하는 DGPS 시스템은, 기존의 DGPS 기준국을 사용하지 않더라도 정밀 위치 측정이 가능함을 나타내었다.

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Windowed Quaternion Estimator For Gyroless Spacecraft Attitude Determination

  • Kim, Injung
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.167.5-167
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    • 2001
  • Single point attitude determination method provides an optimal attitude minimizing the Wahba loss function. However, for the insufficient number of measurement vectors, the conventional single point methods has no unique solution. Thus, we introduce the sequential method to and an optimal attitude minimizing the windowed loss function. In this paper, this function is de ned as the sum of square errors for all measurement vectors within the axed sliding window. For simple implementation, the proposed algorithm is rewritten as a recursive form. Moreover, the covariance matrix is derived and expressed as a recursive form. Finally, we apply this algorithm to the attitude determination system with three LOS measurement sensors.

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