Application of the Fixed Point Method for Solution in Time Stepping Finite Element Analysis Using the Inverse Vector Jiles-Atherton Model

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.

Section: Fixed Point Methodsmentioning

confidence: 99%

Section: A Algorithm Performancementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Koh

2015

“…Different strategies are presented to determine the fixed-point reluctivity in each iterative step [8], [9]. A smoothing algorithm is proposed to guarantee the stability of solution in iterative procedure when hysteresis model is involved in the numerical computation of magnetic field [10].…”

Section: Introductionmentioning

confidence: 99%

Harmonic Analysis of Nonlinear Magnetic Field Under Sinusoidal and DC-Biased Magnetizations by the Fixed-Point Method

Zhao

Cheng³

et al. 2015

The laminated core is tested under sinusoidal and dc-biased magnetizations. The measured data are manipulated by the proposed modified iterative method to obtain dc-biasing hysteresis loops accurately. The hysteresis model, based on a consuming function, is used to simulate the hysteresis effects of the iron core under different magnetizations. The fixed-point technique is combined with the harmonic-balanced method to compute exciting currents and magnetic fields simultaneously by considering the hysteresis effects. The global convergent strategies are presented to guarantee the convergence of harmonic solutions. The hysteretic characteristics and iron loss of the laminated core are analyzed on the basis of harmonic solutions of the magnetic field.Index Terms-DC bias, fixed-point reluctivity, harmonic-balanced method, hysteresis effect, laminated core.

“…The fixed-point technique has been used for eddy current problems and hysteresis analysis [8]- [11]. Different strategies to determine the fixed-point magnetic reluctivity are discussed in computation of magnetic field [12].…”

Section: Introductionmentioning

confidence: 99%

Fixed-Point Harmonic-Balanced Method for DC-Biasing Hysteresis Analysis Using the Neural Network and Consuming Function

Zhao

et al. 2012

The magnetic flux includes dc component and ac component in the square laminated core (SLC) under dc-biased magnetization. Hysteresis loops are distorted by dc component of magnetic field intensity in ferromagnetic core and exhibit asymmetrical and special nonlinearities. A neural network (NN) is trained on the basis of the experimental data to model hysteresis effects in the limb-yoke of the SLC. Hysteresis effects in the mitered-joint region are modeled by the consuming function combined with the dc-biasing magnetization curve. The global fixed-point magnetic reluctivity is properly determined in harmonic-balanced finite-element method (HBFEM) to ensure globally convergent computation. The magnetic field in the SLC under dc-biased magnetization is computed by the proposed method taking account of the dc-biasing hysteresis effects.Index Terms-Consuming function, dc-biasing hysteresis loops, fixed-point magnetic reluctivity, neural network.