• Title/Summary/Keyword: Initial Approximation

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Initial Rotor Position Estimation of an IPMSM Based on Least Squares Approximation with a Polarity Identification (극성 판별이 가능한 최소 제곱법 기반의 IPMSM 회전자 초기 위치 추정)

  • Kim, Keon Young;Bak, Yeongsu;Lee, Kyo-Beum
    • The Transactions of the Korean Institute of Power Electronics
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    • v.23 no.1
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    • pp.72-75
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    • 2018
  • An initial rotor position estimation method is proposed in this study for an interior permanent-magnet synchronous motor without a resolver or an absolute encoder. This method uses least squares approximation to estimate the initial rotor position. The magnetic polarity is identified by injection of short pulses. The proposed estimation process is robust because it does not require complex signal processing that depends on the performance of a digital filter. In addition, it can be applied to various servo systems because it does not require additional hardware. Experimental results validate the effectiveness of the proposed method using a standard industrial servomotor with interior-permanent magnets.

Improving the Training Performance of Multilayer Neural Network by Using Stochastic Approximation and Backpropagation Algorithm (확률적 근사법과 후형질과 알고리즘을 이용한 다층 신경망의 학습성능 개선)

  • 조용현;최흥문
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.4
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    • pp.145-154
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    • 1994
  • This paper proposes an efficient method for improving the training performance of the neural network by using a hybrid of a stochastic approximation and a backpropagation algorithm. The proposed method improves the performance of the training by appliying a global optimization method which is a hybrid of a stochastic approximation and a backpropagation algorithm. The approximate initial point for a stochastic approximation and a backpropagation algorihtm. The approximate initial point for fast global optimization is estimated first by applying the stochastic approximation, and then the backpropagation algorithm, which is the fast gradient descent method, is applied for a high speed global optimization. And further speed-up of training is made possible by adjusting the training parameters of each of the output and the hidden layer adaptively to the standard deviation of the neuron output of each layer. The proposed method has been applied to the parity checking and the pattern classification, and the simulation results show that the performance of the proposed method is superior to that of the backpropagation, the Baba's MROM, and the Sun's method with randomized initial point settings. The results of adaptive adjusting of the training parameters show that the proposed method further improves the convergence speed about 20% in training.

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A Comparison of Computing Times of Initial Solution Methods in the Transportation Problems (수송문제 초기해 해법의 계산시간 비교연구)

  • 박순달;박하영
    • Journal of the Korean Operations Research and Management Science Society
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    • v.4 no.2
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    • pp.41-43
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    • 1979
  • In transportation problems, various initial solution methods are known and being used. The purpose of this paper is to compare effectiveness of those methods in terms of time required in computing an initial solution. In this paper, Northwest Corner rule, Least Cost rule, Vogel's Approximation rule, Russel's Approximation rule, are compared, These rules are similar in loxio sized problems. But as the size of the problem become bigger, Russet's and Vogel's methods are found much more effective than others.

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Design of Initial Billet using the Artificial Neural Network for a Hot Forged Product (신경망을 이용한 열간단조품의 초기 소재 설계)

  • Kim, D.J.;Kim, B.M.;Park, J.C.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.11
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    • pp.118-124
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    • 1995
  • In the paper, we have proposed a new technique to determine the initial billet for the forged products using a function approximation in neural network. A three-layer neural network is used and a back propagation algorithm is employed to train the network. An optimal billet which satisfied the forming limitation, minimum of incomplete filling in the die cavity, load and energy as well as more uniform distribution of effective strain, is determined by applying the ability of function approximation of the neural network. The amount of incomplete filling in the die, load and forming energy as well as effective strain are measured by the rigid-plastic finite element method. This new technique is applied to find the optimal billet size for the axisymmetric rib-web product in hot forging. This would reduce the number of finite element simulation for determining the optimal billet of forging products, further it is usefully adopted to physical modeling for the forging design

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Exponentially Fitted Error Correction Methods for Solving Initial Value Problems

  • Kim, Sang-Dong;Kim, Phil-Su
    • Kyungpook Mathematical Journal
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    • v.52 no.2
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    • pp.167-177
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    • 2012
  • In this article, we propose exponentially fitted error correction methods(EECM) which originate from the error correction methods recently developed by the authors (see [10, 11] for examples) for solving nonlinear stiff initial value problems. We reduce the computational cost of the error correction method by making a local approximation of exponential type. This exponential local approximation yields an EECM that is exponentially fitted, A-stable and L-stable, independent of the approximation scheme for the error correction. In particular, the classical explicit Runge-Kutta method for the error correction not only saves the computational cost that the error correction method requires but also gives the same convergence order as the error correction method does. Numerical evidence is provided to support the theoretical results.

Determination of Initial Billet Size using The Artificial Neural Networks and The Finite Element Method for a Forged Product (신경망과 유한요소법을 이용한 단조품의 초기 소재 형상 결정)

  • 김동진;고대철;김병민;최재찬
    • Transactions of Materials Processing
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    • v.4 no.3
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    • pp.214-221
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    • 1995
  • In the paper, we have proposed a new method to determine the initial billet for the forged products using a function approximation in the neural network. The architecture of neural network is a three-layer neural network and the back propagation algorithm is employed to train the network. By utilizing the ability of function approximation of a neural network, an optimal billet is determined by applying the nonlinear mathematical relationship between the aspect ratios in the initial billet and the final products. The amount of incomplete filling in the die is measured by the rigid-plastic finite element method. The neural network is trained with the initial billet aspect ratios and those of the unfilled volumes. After learning, the system is able to predict the filling regions which are exactly the same or slightly different to the results of finite element simulation. This new method is applied to find the optimal billet size for the plane strain rib-web product in cold forging. This would reduce the number of finite element simulation for determining the optimal billet size of forging product, further it is usefully adapted to physical modeling for the forging design.

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Comparing Solution Methods for a Basic RBC Model

  • Joo, Semin
    • Management Science and Financial Engineering
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    • v.21 no.2
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    • pp.25-30
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    • 2015
  • This short article compares different solution methods for a basic RBC model (Hansen, 1985). We solve and simulate the model using two main algorithms: the methods of perturbation and projection, respectively. One novelty is that we offer a type of the hybrid method: we compute easily a second-order approximation to decision rules and use that approximation as an initial guess for finding Chebyshev polynomials. We also find that the second-order perturbation method is most competitive in terms of accuracy for standard RBC model.

Polygonal Approximation of Digital Curves to Preserve Original Shapes

  • Lee, Dae-Ho;Lee, Seung-Gwan
    • ETRI Journal
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    • v.32 no.4
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    • pp.630-633
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    • 2010
  • In this letter, we propose a novel polygonal approximation of digital curves that preserve original shapes. The proposed method first detects break points, which have two different consecutive vectors, and sets an initial dominant point set. The approximation is then performed iteratively by deleting a dominant point using a novel distance, which can measure both the distance and the angle acuteness. The experimental results show that the proposed method can preserve original shapes and is appropriate for various shapes, including slab-sided shapes.

AN ASYMPTOTIC INITIAL VALUE METHOD FOR SECOND ORDER SINGULAR PERTURBATION PROBLEMS OF CONVECTION-DIFFUSION TYPE WITH A DISCONTINUOUS SOURCE TERM

  • Valanarasu, T.;Ramanujam, N.
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.141-152
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    • 2007
  • In this paper a numerical method is presented to solve singularly perturbed two points boundary value problems for second order ordinary differential equations consisting a discontinuous source term. First, in this method, an asymptotic expansion approximation of the solution of the boundary value problem is constructed using the basic ideas of a well known perturbation method WKB. Then some initial value problems and terminal value problems are constructed such that their solutions are the terms of this asymptotic expansion. These initial value problems are happened to be singularly perturbed problems and therefore fitted mesh method (Shishkin mesh) are used to solve these problems. Necessary error estimates are derived and examples provided to illustrate the method.

Initial Point Optimization for Square Root Approximation based on Newton-Raphson Method (Newton-Raphson 방식의 제곱근 근사를 위한 초기값의 최적화)

  • Choi Chang-Soon;Lee Jin-Yong;Kim Young-Lok
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.43 no.3 s.345
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    • pp.15-20
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    • 2006
  • A Newton-Raphson Method for table driven algorithm is presented in this paper. We concentrate the approximation of square root by using Newton-Raphson method. We confirm that this method has advantages of accurate and fast processing with optimized initial point. Hence the selection of the fitted initial points used in approximation of Newton-Raphson algorithm is important issue. This paper proposes that log scale based on geometric wean is most profitable initial point. It shows that the proposed method givemore accurate results with faster processing speed.