• Title/Summary/Keyword: Everett function

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Analytical Formulation for the Everett Function

  • Hong, Sun-Ki;Kim, Hong-Kyu;Jung, Hyun-Kyo
    • Journal of Magnetics
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    • v.2 no.3
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    • pp.105-109
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    • 1997
  • The Preisach model neds a density function or Everett function for the hysterisis operator to simulate the hysteresis phenomena. To obtain the function, many experimental data for the first order transition curves are required. However, it needs so much efforts to measure the curves, especially for the hard magnetic materials. By the way, it is well known that the density function has the Gaussian distribution for the interaction axis on the Preisach plane. In this paper, we propose a simple technique to determine the distribution function or Everett function analytically. The initial magnetization curve is used for the distribution of the Everett function for the coercivity axis. A major, minor loop and the initial curve are used to get the Everett function for the interaction axis using the Gaussian distribution function and acceptable results were obtained.

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Everett Function Formulation Using Minor Loops and Magnetization-dependent Model and Hysteresis Characteristics Simulation (마이너루프와 자화의존 모델을 이용한 에버? 함수 생성과 히스테리시스 특성 시뮬레이션)

  • Kim, Hyeoung-Seop;Hong, Sun-Ki
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.12
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    • pp.1725-1731
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    • 2017
  • In hysteresis simulation, the Preisach model is most widely used as the reliability. However, since the first-order transition curves used in the conventional Preisach model are very inconvenient for actual measurement, many researches have been made to simplify them. In this study, the minor loops obtained along the initial magnetization curve are used to obtain the Everett function used in the Preisach model. In other words, The Everett table is constructed by using the minor loops, and are applied to the magnetization dependent Preisach model to reconstruct the Everett table. In order to minimize the error, the spline interpolation method is used to complete the final Everett table and the hysteresis loop simulation is performed with the Everett table. Furthermore, it is applied to the inductor analysis to perform not only sinusoidal wave and square wave drive but also PWM wave drive considering hysteresis. The validity of the proposed method is confirmed by comparison with simulation and experiment.

A Improved Method of Determining Everett Function with Logarithm Function and Least Square Method

  • Hong, Sun-Ki
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.22 no.7
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    • pp.16-21
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    • 2008
  • For Preisach model, Everett function from the transient curves is needed to simulate the hysteresis phenomena. However it becomes very difficult to get the function if the it would be made only from experiments. In this paper, a simple and stable procedure using least square method and logarithm function to determine the Everett function which follows the Gauss distribution for interaction field axis is proposed. The characteristics of the parameters used in this procedure are also presented. The proposed method is applied to implement hysteresis loops. The simulation for hysteresis loop is compared with experiments and good agreements could be shown.

A Study for the Formulation of the Everett Function Using First Order Transition Curves (일차 전이곡선을 이용한 에버렡 함수의 정식화에 관한 연구)

  • Kim, Hong-Kyu;Jung, Hyun-Kyo;Hong, Sun-Ki
    • Proceedings of the KIEE Conference
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    • 1996.11a
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    • pp.3-5
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    • 1996
  • The Preisach model needs density function or Everett function for the sample material to calculate the hysteresis characteristics. To obtain these functions, many experimental data obtained from the first order transition curves are required. However, it is not simple task to measure the curves. In this paper, a simple generalized technique to get the Everett function using saturation hysteresis loop and two first order transition curves is proposed. These three data makes three equations for the proposed Everett function model and we can get three variables by those equations. From the simulation, we got acceptable results.

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Simulations for Magnetization - dependent hysteresis model (자화 의존 히스테리시스 모델의 특성 시뮬레이션)

  • Hong, Sun-Ki;Lee, Sang-Hoon;Lee, Jung-Ho;Won, Jong-Soo
    • Proceedings of the KIEE Conference
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    • 1992.07b
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    • pp.580-583
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    • 1992
  • In calculating the hysteresis loops with the Preisach model for ferromagnetism, Everett function is used generally. Because the Everett function is usually given as a table of the lattice-shaped, it is very difficult to directly obtain the Everest table from the data. Therefore this makes some defects in the calculation processes or the accuracy of the results. In this study, using the data sufficiently obtained from the experiment by drawing up the Everett table in the triangle-shaped, and applying the generalized hysteresis model in which the magnetization is depend on the sum of the applied magnetic field and the molecular field, it is shown that our proposal is acceptible in calculating the hysteresis processes.

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Determination of the Distribution of the Preisach Density Function With Optimization Algorithm

  • Hong Sun-Ki;Koh Chang Seop
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.5B no.3
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    • pp.258-261
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    • 2005
  • The Preisach model needs a distribution function or Everett function to simulate the hysteresis phenomena. To obtain these functions, many experimental data obtained from the first order transition curves are usually required. In this paper, a simple procedure to determine the Preisach density function using the Gaussian distribution function and genetic algorithm is proposed. The Preisach density function for the interaction field axis is known to have Gaussian distribution. To determine the density and distribution, genetic algorithm is adopted to decide the Gaussian parameters. With this method, just basic data like the initial magnetization curve or saturation curves are enough to get the agreeable density function. The results are compared with experimental data and we got good agreements comparing the simulation results with the experiment ones.

A Study for the Formulation of the Preisach Distribution Function (프라이자흐 분포함수의 정식화에 관한 연구)

  • Kim, Hong-Kyu;Lee, Chang-Hwan;Jung, Hyun-Kyo;Hong, Sun-Ki
    • Proceedings of the KIEE Conference
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    • 1996.07a
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    • pp.56-58
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    • 1996
  • The Preisach model needs a density function to simulate the hysteresis phenomena. To obtain this function, many experimental data obtained from the first order transition curves are required to get accurate density function. However, it is difficult to perform this procedure, especially for the hard magnetic materials. In this paper, we compare the density function obtained from the experimental data with that computed from the mathematical function like the Gaussian function, and propose a simple technique to get mathematical equation of the density function or Everett function which is obtained from the initial curve, major and minor loop.

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Identification of the Distribution Function of the Preisach Model using Inverse Algorithm

  • Koh, Chang-Seop;Ryu, Jae-Seop
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.2B no.4
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    • pp.168-173
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    • 2002
  • A new identification algorithm for the Preisach model is presented. The algorithm treats the identification procedure of the Preisach model as an inverse problem where the independent variables are parameters of the distribution function and the objective function is constructed using only the initial magnetization curve or only tile major loop of the hysteresis curve as well as the whole reversal curves. To parameterize the distribution function, the Bezier spline and Gaussian function are used for the coercive and interaction fields axes, respectively. The presented algorithm is applied to the ferrite permanent magnets, and the distribution functions are correctly found from the major loop of the hysteresis curve or the initial magnetization curve.

Characteristics of Everett Function Formulated with Gaussian Distribution (가우스 분포에 의해 정식화된 에버렐 함수의 특성)

  • Hong, Sun-Ki;Kim, Hong-Kyu;Lee, Chang-Hwan;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.15-17
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    • 1997
  • 에버�� 함수는 상호자계 축을 따라 가우스 분포를 가지므로 정식화될 수 있다. 본 연구에서는 에버렐 함수의 정식화 원리를 설명하고, 오차를 최소화하기 위해 최소 자승법을 도입한다. 이로부터 얻은 에버렐 함수로부터 히스테리시스 루프를 시뮬레이션하고, 이를 통해 제안된 방법의 타당성을 확인한다.

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Magnetizing Analysis of a Convergence Purity Magnet using Preisach model and Finite Element Method (프라이자흐 모델과 유한요소법을 이용한 C.P.M의 착자 특성 해석)

  • Yoon, Tae-Ho;Kwon, Byung-Il;Park, Seung-Chan;Woo, Kyung-Il
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.11
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    • pp.729-736
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    • 2000
  • This paper deals with the characteristic analysis of magnetizer for convergence purity magnet by the finite element method. The analysis utilizes combined method of the time-stepped finite element analysis and the Preisach model with hysteresis phenomena. In the finite element analysis, the non-linearity and the eddy current of the magnetizing fixure and permanent-magnet are taken account. The magnetization distribution in the permanent magnet is determined by using Preisach model which are composed of Everett function table and the first order transition curves is obtained by the Vibrating Sample Magnetometer. The calculated flux density values on the surface of the permanent magnet are led to the approximated gauss density values measured by the gauss meter. As a result, winding current, copper loss, eddy current loss of the magnetizing yoke, flux plot, surface gauss plot, temperature rise of the coil and resistor variation, vector diagram of magnetization distribution are shown.

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