• Title/Summary/Keyword: Optimal Method

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A Study on Optimal Power Flow Using Interior Point Method (Interior Point Method를 이용한 최적조류계산 알고리듬 개발에 관한 연구)

  • Kim Balho H.
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.9
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    • pp.457-460
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    • 2005
  • This paper proposes a new Interior Point Method algorithm to improve the computation speed and solution stability, which have been challenging problems for employing the nonlinear Optimal Power Flow. The proposed algorithm is different from the tradition Interior Point Methods in that it adopts the Predictor-Corrector Method. It also accommodates the five minute dispatch, which is highly recommenced in modern electricity market. Finally, the efficiency and applicability of the proposed algorithm is demonstrated with a case study.

DESIGN PROBLEM SOLVED BY OPTIMAL CONTROL THEORY

  • Butt, Rizwan
    • Journal of applied mathematics & informatics
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    • v.4 no.1
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    • pp.167-178
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    • 1997
  • In this paper we present an application to airfoil design of an optimum design method based on optimal control theory. The method used here transforms the design problem by way of a change of variable into an optimal control problem for a distributed system with Neumann boundary control. This results in a set of variational inequalities which is solved by adding a penalty term to the differential equation. This si inturn solved by a finite element method.

AN EFFICIENT ALGORITHM FOR FINDING OPTIMAL CAR-DRIVING STRATEGY

  • Farhadinia, Bahram
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.1-14
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    • 2012
  • In this paper, the problem of determining the optimal car-deriving strategy has been examined. In order to find the optimal driving strategy, we have modified a method based on measure theory. Further, we demonstrate that the modified method is an efficient and practical algorithm for dealing with optimal control problems in a canonical formulation.

SDRE-Based Near Optimal Traffic Controller Design (SDRE 기반 준최적 교통 혼잡 제어기 설계)

  • Choi, Han Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.12
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    • pp.1086-1089
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    • 2012
  • We propose a near optimal controller design method for ramp metering based on SDRE (State Dependent Riccati Equation) approach. We parameterize the optimal nonlinear controller in terms of the solution matrices of an SDRE. We also give a simple algorithm to obtain the controller gain. Finally we give numerical results to show the effectiveness of the proposed near optimal traffic controller design method.

A MULTIGRID METHOD FOR AN OPTIMAL CONTROL PROBLEM OF A DIFFUSION-CONVECTION EQUATION

  • Baek, Hun-Ki;Kim, Sang-Dong;Lee, Hyung-Chun
    • Journal of the Korean Mathematical Society
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    • v.47 no.1
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    • pp.83-100
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    • 2010
  • In this article, an optimal control problem associated with convection-diffusion equation is considered. Using Lagrange multiplier, the optimality system is obtained. The derived optimal system becomes coupled, non-symmetric partial differential equations. For discretizations and implementations, the finite element multigrid V-cycle is employed. The convergence analysis of finite element multigrid methods for the derived optimal system is shown. Some numerical simulations are performed.

Optimal Design Method for an Actively Shielded MRI Superconducting Magnet (능동 차폐 MRI 초전도 자석에 대한 최적 설계 방법)

  • Lee, Kwang-Ho;Cho, Yun-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.6
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    • pp.421-430
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    • 2000
  • This paper describes an optimal design method which is applied a weighted least square (WLS) method for Magnetic Resonance Imaging (MRI) system. An optimal design approach is presented for a homogeneity superconducting magnet with the superconducting active shield especially for a magnetic resonance imaging system. The WLS is used to obtain the optimal configurations using the least amount and minimum volume of conductor, exhibiting the smallest level of field inhomogeneity and resulting in the least level of stray field. The proposed model is used to design a multiple-shield configuration for a 1.5 T MRI magnet. The field homogeneity is required less than 5 gauss stray field contour within 4m axially and 3m radially from origin. The designed magnet with the actively magnetic shielding coil out of main coils is analyzed by FEM and theoretical analysis method, investigated the field homogeneity.

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Optimal Angle Error Reduction of Magnetic Position Sensor by 3D Finite Element Method

  • Kim, Ki-Chan
    • Journal of Magnetics
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    • v.18 no.4
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    • pp.454-459
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    • 2013
  • This paper deals with an optimal angle error reduction method of magnetic position sensor using hall effect elements. The angle detection simulation for the magnetic position sensor is performed by 3 dimensional finite element method and Taguchi method, one of the design of experiments. The magnetic position sensor is required to generate ideal sine and cosine waveforms from its hall effect elements according to rotation angle for precise angle information. However, the output signals are easy to include harmonics due to uneven magnetic field distribution from permanent magnet in the air-gap in the vicinity of hall effect elements. For the Taguchi method, three design parameters related to position of hall effect elements and shape of back yoke are selected. The characteristics of optimal magnetic position sensor are compared with those of original one in terms of simulation as well as experiment. Finally, the performances of the motor adopting original model and optimal model are represented for the purpose of verification of motor performance due to signals from magnetic position sensor.

The Optimal Utilization Determined By The Response Time (응답시간으로 결정되는 최적 이용률)

  • Lim, Jong-Seul;Kim, Seong-Ho
    • Journal of the Korea Computer Industry Society
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    • v.2 no.9
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    • pp.1155-1162
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    • 2001
  • This paper proposes a method to determine the optimal utilizations of the UNIX systems. This method is developed using the definition-the optimal utilization is the maximum allowable utilization In other words, the optimal utilization is the maximum utilization that can be allowed by users while providing tolerable response time. As the tolerable response time increases, the optimal utilization increases. Therefore, the optimal utilization is obtained at the maximal value of tolerable response time. Our analysis shows tolerable response time is achieved when the average of the trivial response time is less than 0.24 seconds for a given service objective. It also shows the optimal utilization consists of three components-%wio, %sys, and %usr. By way of example, the optimal utilizations of a machine running under the UNIX operating system are computed using proposed method.

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Determination of The Optimal Utilization of The UNIX Systems (UNIX 시스템의 최적 이용율 결정)

  • Im, Jong-Seol
    • The Transactions of the Korea Information Processing Society
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    • v.2 no.5
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    • pp.807-813
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    • 1995
  • This paper proposes a method to determine the optimal utilizations of the UNIX systems. This method is developed using the definition-the optimal utilization is the maximum allowable utilization. In other words, the optimal utilization is the maximum utilization that can be allowed by users while providing tolerable response time. As the tolerable response time increases, the optimal utilization increases. Therefore, the optimal utilization is obtained at the maximal value of tolerable response time. Our analysis shows tolerable response time is achieved when the average of the trivial response time is less than 0.24 seconds for a given service objective. It also shows the optimal utilization consists of three components-%wio, and %usr. By way of example, the optimal utilizations of a machine (IBM 3081) running under the UNIX operating system are computed are computed using the proposed method.

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A Study on Time-Dependent Optimal Heater Control for Thermoforming Using Response Surface Method (열성형 과정에서 반응면 기법을 이용한 히터의 비정상 최적제어에 관한 연구)

  • Li, Zhen-Zhe;Heo, Kwang-Su;Seol, Seoung-Yun
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2528-2533
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    • 2007
  • Thermoforming is one of the most versatile and economical processes available for the manufacturing polymer products. The drawback of thermoforming is difficult to get uniform thickness of final products. For the distribution of thickness strongly depends on the temperature distribution of sheet, the adjustment of heater power is very important In this paper, an optimization study for getting uniform temperature distribution was carried out using dual optimization steps. At first, the steady state optimal distribution of heater power is searched by numerical optimization to get uniform temperature of sheet surface. In the second step, time-dependent optimal heater inputs have been found out to decrease the temperature difference through the direction of thickness using Rseponse Surface Method and D-optimal method. The optimization results show that the time-dependent optimal heater power distribution gives acceptable uniform sheet temperature in the field of forming temperature..

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