Hysteresis Modeling for Electrical Steel Sheets Using Improved Vector Jiles-Atherton Hysteresis Model

Li, Wei; Kim, In Hyun; Jang, Seok–Myeong; Koh, Chang Seop

doi:10.1109/tmag.2011.2158296

Cited by 44 publications

(28 citation statements)

References 14 publications

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“…Equation (3) can be written in the form of the fixed point iteration as (4) which is an implicit form of (1). For illustration purpose, (4) is rewritten in integral form, and simplified to 1-D case [11], as follows:…”

Section: Fixed Point Methodsmentioning

confidence: 99%

“…The performance of the vector J-A model with multisets of parameters has been investigated in [4]. From the quasi-static Maxwell's equations when accounting for (7), the governing equation becomes…”

Section: Finite Element Procedures a Field Equationsmentioning

confidence: 99%

“…T HE magnetic hysteresis of electrical steel sheets can be described by the vector Jiles-Atherton (J-A) model [1]- [4]. The hysteresis along arbitrary direction is simulated by the composition of hysteresis in rolling direction (RD) and hysteresis in transverse direction (TD).…”

Section: Introductionmentioning

confidence: 99%

“…Hence, only J-A model parameters of RD and TD are required. To match the measured data for all hysteresis loops precisely, from the minor loop to the major loop, multisets of J-A model parameters of RD and TD are adopted, respectively, according to the flux density magnitude [4]. Therefore, when incorporating the vector J-A model into finite element analysis for time-periodic magnetic problems, the information of the flux density magnitude should be known in advance.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Investigation of the Vector Jiles–Atherton Model and the Fixed Point Method Combined Technique for Time-Periodic Magnetic Problems

Koh

2015

IEEE Trans. Magn.

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This paper presents a finite element analysis procedure for solving time-periodic magnetic field problems, employing the fixed point method and the vector Jiles-Atherton (J-A) model. To increase the modeling accuracy, multiple sets of the J-A model parameters are used. The convergence performance of the fixed point iteration is improved by calculating the fixed point coefficients of rolling and transverse directions independently, according to the differential reluctivities of the hysteresis loops. The finite element analysis algorithm incorporating the fixed point method and the vector J-A model with multisets of parameters is derived, and applied to analyze a single-phase transformer core laminated of electrical steel sheets. The convergence of the computation can be guaranteed if the fixed point coefficients are properly bounded. By comparing the numerical analysis results with the experimentally measured ones, the effectiveness of the proposed analysis method is investigated. Index Terms-Finite-element method, fixed point method, nonlinear hysteresis, time stepping, vector Jiles-Atherton (J-A) model.

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Section: Fixed Point Methodsmentioning

confidence: 99%

Section: Finite Element Procedures a Field Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigation of the Vector Jiles–Atherton Model and the Fixed Point Method Combined Technique for Time-Periodic Magnetic Problems

Koh

2015

IEEE Trans. Magn.

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“…Bouc-Wen model [15,16] is very similar to Duhem model and also relies on the derivative of the input. Jiles-Atherton hysteresis model is usually used to describe the total magnetization of a ferromagnetic material can be represented as the sum of contributions of irreversible and reversible magnetization components [17,18]. In this model, the derivative of magnetization with respect to effective field should be considered.…”

Section: Introductionmentioning

confidence: 99%

A simple model of hysteresis for smart actuators

Tan

Dong

2014

Proceedings of the 33rd Chinese Control Conference

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A novel phenomenal model for hysteresis in smart actuators is proposed in this paper. One of the features of this model is that it does not include any basis functions. Hence, it has much simpler structure than the well known Preisach model, KP model and PI model. Another feature of this model is that it does not rely on any differential variables. Thus, it does not need to solve differential equations. The properties of the model are discussed. Then, the methods to determine the coefficients of the model are presented. In this paper, the proposed model is applied to modeling of hysteresis in a piezoceramic actuator. The experiments of modeling procedure are implemented to validate the performance of the model.

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Micrometer Level Control Design of Piezoelectric Actuators: Fuzzy Approach

Chen

Gieng

Liao

et al. 2021

Int. J. Fuzzy Syst.

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In this investigation, a fuzzy-based micrometer level control design with a guaranteed trajectory tracking performance for piezoelectric actuators which naturally have hysteresis effects is proposed. Nominal dynamics of the controlled piezoelectric actuators are described by adopting Takagi and Sugeno fuzzy models initially. Via interpolating Takagi and Sugeno local fuzzy model, a robust fuzzy-based controller is developed to eliminate hysteresis, modeling uncertainties and external disturbances. Meanwhile, the tracking error is expected to be reduced as small as possible with respect to all bounded desired trajectories. This proposed fuzzy-based controller has an easy to implement control structure. The trajectory tracking design problem of piezoelectric actuators of this study is transferred to a linear matrix inequality problem, and based on the convex optimization technique, the solution of the trajectory tracking design problem of piezoelectric actuators can be solved efficiently. From the simulation results, it is obvious that this proposed fuzzy-based control design possesses robustness property and can converge tracking errors to zero in micrometer level.

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Hysteresis Modeling for Electrical Steel Sheets Using Improved Vector Jiles-Atherton Hysteresis Model

Cited by 44 publications

References 14 publications

Investigation of the Vector Jiles–Atherton Model and the Fixed Point Method Combined Technique for Time-Periodic Magnetic Problems

Investigation of the Vector Jiles–Atherton Model and the Fixed Point Method Combined Technique for Time-Periodic Magnetic Problems

A simple model of hysteresis for smart actuators

Micrometer Level Control Design of Piezoelectric Actuators: Fuzzy Approach

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