• Title/Summary/Keyword: two point method

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Applicability of Two Point Method for Wave Decomposition (파랑의 분석에 관한 2점법의 적용성 검토)

  • Lee, Sung-Jae;Jung, Tae-Hwa;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.241-244
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    • 2008
  • The decomposition of incident and reflected wave on the two-dimensional experimental flume is very important to elucidate the phenomena between waves and coastal structure such as submerged breakwater or rubble-mound breakwater. In generally, two or three point methods are widely used to decompose waves. Even though three point method gives more accurate result, it requires more wave gauge to install than two point method. Sometimes, this causes economic or measurement problems. In this study, therefore, the applicability of two point method was investigated by using Eigenfunction expansion method.

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Two Mode Maximum Power Point Tracking for Photovoltaic System

  • Limsakul, Chamnan;Ukakimaphun, Prapas;Prapanavarat, Cherdchai;Chenvidhya, Dhirayut
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.143-148
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    • 2004
  • This paper presents the two modes for maximum power point tracking of the photovoltaic system. The method combines the merits of the two methods consisting of the open circuit method and the three point weight comparison method. The maximum point found by this method is exactly than by the open circuit method. By the simulation results, the actual maximum point can be found that is better than the Perturb and Observe (P&O) method or the three point weight method only one method, especially, in the case of non regular pattern of Power-Voltage (P-V) curve.

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Function Approximation Using an Enhanced Two-Point Diagonal Quadratic Approximation (개선된 이점 대각 이차 근사화를 이용한 함수 근사화)

  • Kim, Jong-Rip;Kang, Woo-Jin;Choi, Dong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.4
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    • pp.475-480
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    • 2004
  • Function approximation is one of the most important and active research fields in design optimization. Accurate function approximations can reduce the repetitive computational effort fur system analysis. So this study presents an enhanced two-point diagonal quadratic approximation method. The proposed method is based on the Two-point Diagonal Quadratic Approximation method. But unlike TDQA, the suggested method has two quadratic terms, the diagonal term and the correction term. Therefore this method overcomes the disadvantage of TDQA when the derivatives of two design points are same signed values. And in the proposed method, both the approximate function and derivative values at two design points are equal to the exact counterparts whether the signs of derivatives at two design points are the same or not. Several numerical examples are presented to show the merits of the proposed method compared to the other forms used in the literature.

Evaluation Technology of Degradation of Metallic Alloy using Electrical Resistivity (전기비저항을 이용한 금속합금 열화도 평가기술)

  • Nahm, Seung-Hoon;Yu, Kwang-Min;Ryu, Jae-Cheon
    • Journal of the Korean Society for Nondestructive Testing
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    • v.21 no.5
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    • pp.532-541
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    • 2001
  • Developments of nondestructive evaluation techniques for reduction of strength or toughness by aging of material have been carried out, and the method using electrical resistivity is one of them. In this study, to examine the application of electrical resistivity to the evaluation of degradation of metallic alloy, ten different non-magnetic materials were selected as test materials. Electrical resistivities measured by DC two-point probe method and those measured by non-contact type eddy current method were compared with each other. In addition, to examine the application possibility of four-point probe technology in field, the electrical resistivities for 1Cr-lMo-0.25V steel measured by DC two-point probe method and four-point probe method were compared with each other Differences between two measured values for the 1Cr-1Mo-0.25V steel were 0.6%. Therefore, the four-point probe method can be applied to the estimation of the degradation of metallic alloy. ect.

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FUNCTIONAL ITERATIVE METHODS FOR SOLVING TWO-POINT BOUNDARY VALUE PROBLEMS

  • Lim, Hyo Jin;Kim, Kyoum Sun;Yun, Jae Heon
    • Journal of applied mathematics & informatics
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    • v.31 no.5_6
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    • pp.733-745
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    • 2013
  • In this paper, we first propose a new technique of the functional iterative methods VIM (Variational iteration method) and NHPM (New homotopy perturbation method) for solving two-point boundary value problems, and then we compare their numerical results with those of the finite difference method (FDM).

Optimal Two Degrees-of-Freedom Based Neutral Point Potential Control for Three-Level Neutral Point Clamped Converters

  • Guan, Bo;Doki, Shinji
    • Journal of Power Electronics
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    • v.19 no.1
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    • pp.119-133
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    • 2019
  • Although the dual modulation wave method can solve the low-frequency neutral point potential (NPP) fluctuation problem for three-level neutral point clamped converters, it also increases the switching frequency and limits the zero-sequence voltage. That makes it harmful when dealing with the NPP drift problem if the converter suffers from a long dead time or asymmetric loads. By introducing two degrees of freedom (2-DOF), an NPP control based on a search optimization method can demonstrate its ability to cope with the above mentioned two types of NPP problems. However, the amount of calculations for obtaining an optimal 2-DOF is so large that the method cannot be applied to certain industrial applications with an inexpensive digital signal processor. In this paper, a novel optimal 2-DOF-based NPP control is proposed. The relationships between the NPP and the 2-DOF are analyzed and a method for directly determining the optimal 2-DOF is also discussed. Using a direct calculation method, the amount of calculations is significantly reduced. In addition, the proposed method is able to maintain the strongest control ability for the two types of NPP problems. Finally, some experimental results are given to confirm the validity and feasibility of the proposed method.

A FIFTH ORDER NUMERICAL METHOD FOR SINGULAR PERTURBATION PROBLEMS

  • Chakravarthy, P. Pramod;Phaneendra, K.;Reddy, Y.N.
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.689-706
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    • 2008
  • In this paper, a fifth order numerical method is presented for solving singularly perturbed two point boundary value problems with a boundary layer at one end point. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system. An asymptotically equivalent first order equation of the original singularly perturbed two point boundary value problem is obtained from the theory of singular perturbations. It is used in the fifth order compact difference scheme to get a two term recurrence relation and is solved. Several linear and non-linear singular perturbation problems have been solved and the numerical results are presented to support the theory. It is observed that the present method approximates the exact solution very well.

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Design Optimization Using the Two-Point Convex Approximation (이점 볼록 근사화 기법을 적용한 최적설계)

  • Kim, Jong-Rip;Choi, Dong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.6
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    • pp.1041-1049
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    • 2003
  • In this paper, a new local two-point approximation method which is based on the exponential intervening variable is proposed. This new algorithm, called the Two-Point Convex Approximation(TPCA), use the function and design sensitivity information from the current and previous design points of the sequential approximate optimization to generate a sequence of convex, separable subproblems. This paper describes the derivation of the parameters associated with the approximation and the numerical solution procedure. In order to show the numerical performance of the proposed method, a sequential approximate optimizer is developed and applied to solve several typical design problems. These optimization results are compared with those of other optimizers. Numerical results obtained from the test examples demonstrate the effectiveness of the proposed method.

Vibration analysis of a multi-span beam subjected to a moving point force using spectral element method

  • Jeong, Boseop;Kim, Taehyun;Lee, Usik
    • Structural Engineering and Mechanics
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    • v.65 no.3
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    • pp.263-274
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    • 2018
  • In this study, we propose a frequency domain spectral element method (SEM) for the vibration analysis of a multi-span beam subjected to a moving point force. This study is an extension of the authors' previous study for a single-span beam subjected to a moving point force, where the two-element model-based SEM was applied. In this study, each span of a multi-span beam is represented by the Timoshenko beam model and the moving point force is transformed into the frequency domain as a series of each stationary point force distributed on the multi-span beam. The span at which a stationary point force is located is represented by two-element model, but all other spans are represented by one-element models. The vibration responses to a moving point force are obtained by superposing all individual vibration responses generated by each stationary point force. The high accuracy and computational efficiency of the proposed SEM are verified by comparing the solutions by SEM with exact analytical solutions by the integral transform method (ITM) as well as the solutions by the finite element method (FEM).

The integration and implementation of interior point methods for linear programming (내부점 선형계획법의 통합과 구현)

  • Jin, Heui-Chae;Park, Soon-Dal
    • Journal of Korean Institute of Industrial Engineers
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    • v.21 no.3
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    • pp.429-439
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    • 1995
  • The Interior point method in linear programming is classified into two categories the affine-scaling method and the logarithmic barrier method. In this paper, we integrate those methods and implement them in one shared module. First, we analyze the procedures of two interior point methods and then find a unified formula in finding directions to improve the current solution and conditions to terminate the procedure. Second, we build the shared modules which can be used in each interior point method. Then these modules are experimented in NETLIB problems.

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