• 제목/요약/키워드: Hysteresis function

검색결과 159건 처리시간 0.028초

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

  • Hong, Sun-Ki
    • 조명전기설비학회논문지
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    • 제22권7호
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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.

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

  • 김형섭;홍선기
    • 전기학회논문지
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    • 제66권12호
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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.

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

  • 홍선기;이상훈;이중호;원종수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 B
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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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Study of nonlinear hysteretic modelling and performance evaluation for piezoelectric actuators based on activation functions

  • Xingyang Xie;Yuguo Cui;Yang Yu
    • Smart Structures and Systems
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    • 제33권2호
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    • pp.133-143
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    • 2024
  • Piezoelectric (PZT) actuators have been widely used in precision positioning fields for their excellent displacement resolution. However, due to the inherent characteristics of piezoelectric actuators, hysteresis has been proven to greatly reduce positioning performance. In this paper, five mathematical hysteretic models based on activation function are proposed to characterize the nonlinear hysteresis characteristics of piezoelectric actuators. Then the performance of the proposed models is verified by particle swarm optimization (PSO) algorithm and the experiment data. Thirdly, the fitting performance of the proposed models is compared with the classical Bouc-Wen model. Finally, the performance of the five proposed models in modelling hysteresis nonlinearity of piezoelectric drivers is compared, in terms of RMSE, MAPE, SAPE and operation efficiency, and relevant suggestions are given.

다공성 매질에서 이력현상에 대한 실험적 연구 (Experimental Study on Hysteresis Phenomena in Porous Media)

  • 강우영;박재현
    • 물과 미래
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    • 제28권4호
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    • pp.215-222
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    • 1995
  • 비포화 흐름의 지배방정식인 Richards식을 수치해석하기 위해 필요한 물보유함수는 이력현상을 가지고 있으며 이러한 이력현상은 비포화 흐름특성에 중요한 영향을 미친다. 본 연구에서는 토양시료의 물보유함수 실측치를 이용하여 기존의 이력현상 모형들의 정확성을 검토하였다. 이를 위해 물보유함수 이력현상을 실측할 수 있는 실험장치를 개발하여 국내 토양시료를 대상으로한 주젖음과정과 주마름과정의 실측치를 구하였고, 이 자료로부터 물보유함수 추정식인 van Genuchten식의 매개변수를 추정하였다. 추정된 주젖음곡선을 이력현상 모형인 Model I-1(Mualem), Model II-1(Mualem) 과 Model III-2(박과 선우)에 적용하여 주마름곡선을 모의한 결과, Model I-1의 모의곡선은 주마름곡선의 실측치를 과대 모의하고 Model II-1은 과소 모의하지만 Model III-2는 실측치에 근접하게 모의하였다.

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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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    • 제2B권4호
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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.

Hysteresis Compensating of PZT Actuator in Micro Tensile Tester Using Inverse Compensation Method

  • Lee, Hye-Jin;Kim, Seung-Soo;Lee, Nak-Kyu;Lee, Hyoung-Wook;Hwang, Jai-Hyuk;Han, Chang-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.502-505
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    • 2005
  • Researches about micro technology travel lively in these days. Such many researches are concentrated in the field of materials and a process field. But properties of micro materials should be known to give results of research developed into still more. In these various material properties, mechanical property such as tensile strength, elastic modulus, etc is the basic property. To measure mechanical properties in micro or nano scale, actuating must be very precise. PZT is a famous actuator which becomes a lot of use to measure very precise mechanical properties in micro research field. But PZT has a nonlinearity which is called as hysteresis. Not precision result is caused because of this hysteresis property in PZT actuator. Therefore feedback control method is used in many researches to prevent this hysteresis of PZT actuator. Feedback control method produce a good result in processing view, but cause a loss in a resolution view. In this paper, hysteresis is compensated by open loop control method. Hysteresis property is modeled in Mathematical function and compensated control input is constructed using inverse function of original data. Reliability of this control method can be confirmed by testing nickel thin film that is used in MEMS material broadly.

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히스테리시스 주 루프의 비례관계를 이용한 형상기억합금 엑츄에이터의 Preisach 모델 (Preisach Model of Shape Memory Alloy Actuators Using Proportional Relationship of The Major Loop of Hysteresis)

  • 최병준;이연정;최봉열
    • 제어로봇시스템학회논문지
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    • 제8권9호
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    • pp.736-746
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    • 2002
  • There has been a great demand for smart actuators in the field of micro-machines. However, the control accuracy of smart actuators, e.g., a shape memory alloy(SMA) and a piezoceramic actuator, is limited due to the inherent hysteresis nonlinearity. The Preisach hysteresis model has emerged as an appropriate model f3r the behavior of those smart actuators. Yet it is still not easy to construct a practical model of hysteresis using the classical Preisach model. Accordingly, in this paper, we propose a new simple method for modeling of the hysteresis nonlinearity of SMA. Using only the proportional relation of the major loop of hysteresis, the proposed method makes the computation of the Preisach model easy. We prove the efficacy of the proposed model through the comparative the experimentation with the classical Preisach model.

디지털 오디오 앰프의 안정성과 히스테리시스에 의한 영향 해석 (Stability of Digital Audio Amplifier and Analysis on the Effect of Hysteresis)

  • 도태용;장병탁;류태하;류지열;박환욱
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.605-607
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    • 2004
  • A class D digital audio amplifier with small size, low cost, and high quality is positively necessary in the multimedia era made of home theater system and the digital audio broadcasting (DAB). It is impossible to analyze the stability of the digital audio amplifier, which is based on the PWM signal processing. To solve this problem, the digital audio amplifier is analyzed using variable structure control theory which is one of nonlinear system theories. Moreover, the magnitude and the frequency of ripple signal, which generated by hysteresis in the comparator, is obtained using describing function which is useful to represent the input-output relation of nonlinear system.

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

  • 김홍규;정현교;홍선기
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 추계학술대회 논문집 학회본부
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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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