Analysis of the DC Bias Phenomenon by the Harmonic Balance Finite-Element Method

Zhao, Xiaojun; Lu, Junwei; Li, Lin; Cheng, Zhiguang; Lu, Tiebing

doi:10.1109/tpwrd.2010.2056709

Cited by 43 publications

(22 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where MS N represents the matrix size of Q 1 in equation (22) while MS T represents the system matrix size in traditional HBFEM (Yamada et al, 1990;Zhao et al, 2011).…”

Section: Comparison Between the Previous And The New Methodsmentioning

confidence: 99%

Analysis of the saturated electromagnetic devices under DC bias condition by the decomposed harmonic balance finite element method

Zhao

et al. 2012

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

Self Cite

View full text Add to dashboard Cite

Purpose -This paper aims to introduce the decomposed harmonic balance finite element method (HBFEM) to decrease the memory requirement in large-scale computation of the DC-biasing magnetic field. Harmonic analysis of the flux density and flux distribution was carried out to investigate the DC biased problem in a laminated core model (LCM). Design/methodology/approach -Based on the DC bias test on a LCM, the decomposed HBFEM is applied to accurately calculate the DC-biasing magnetic field. External electric circuits are coupled with the magnetic field in the harmonic domain. The reluctivity matrix is decomposed and the block Gauss-Seidel algorithm solves each harmonic solution of magnetic field and exciting current sequentially. Findings -The calculated exciting currents and flux density are compared with that obtained from measurement and time domain finite element analysis, respectively, which demonstrates consistency. The DC bias leads to the significant saturation of the magnetic core and serious distortion of the exciting current. The flux density varies nonlinearly with DC bias excitation.Research limitations/implications -The harmonic balance method is only applicable in solving the steady state magnetic field. Future improvements in the method are necessary in order to manage the hysteresis effects in magnetic material. Originality/value -The proposed method to solve the DC biased problem significantly reduces the memory requirement compared to the conventional HBFEM. The decomposed harmonic balance equations are solved efficiently by the block Gauss-Seidel algorithm combined with the relaxation iterative scheme. An investigation on DC bias phenomena is carried out through the harmonic solution of the magnetic field. The decomposed HBFEM can also be applied to solve 3-D DC-biasing magnetic field and eddy current nonlinear problems in a practical power transformer.

show abstract

“…where MS N represents the matrix size of Q 1 in equation (22) while MS T represents the system matrix size in traditional HBFEM (Yamada et al, 1990;Zhao et al, 2011).…”

Section: Comparison Between the Previous And The New Methodsmentioning

confidence: 99%

Analysis of the saturated electromagnetic devices under DC bias condition by the decomposed harmonic balance finite element method

Zhao

et al. 2012

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…The nonlinear and hysteretic characteristics of the ferromagnetic core can be represented by the following relationship between magnetic flux density and magnetic field intensity (1) where the fixed-point magnetic reluctivity is constant in globally convergent strategy and the magnetization-like quantity is related to nonlinearly. The two-dimensional nonlinear magnetic field is formulated by means of the magnetic vector potential (2) All variables such as the current density under dc-biased excitations can be approximated by the triangular series, where e represents the finite element number in numerical computational region, therefore and can be expressed with a similar expression with (4) in harmonic domain.…”

Section: Globally Convergent Fixed-point Technique In Harmonic-bamentioning

confidence: 99%

“…The dc current exists in the exciting coil in some cases e.g., dc bias phenomenon [1]. Hence, the generated dc component of magnetic field intensity and the dc component of magnetic flux density lead to distorted and asymmetrical hysteresis loops.…”

Section: Introductionmentioning

confidence: 99%

“…Different strategies to determine the fixed-point magnetic reluctivity are discussed in computation of magnetic field [12]. Discontinuity of the magnetic reluctivity in the conventional harmonic-balanced FEM [1] can be conquered by introducing the fixed-point magnetic reluctivity. Therefore, the dc-biasing magnetic field can be computed by the fixed-point harmonic-balanced method taking account of hysteresis effects.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Zhao

et al. 2012

IEEE Trans. Magn.

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…Lately, there has been considerable focus on the modeling and prediction of the magnetic loss in electromagnetic devices, predominantly for the very high capacity and voltage level power equipment, operating under extreme excitations involving DC-biasing and/or multi-harmonic or PWM(Pulse Width Modulation) supplies [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Magnetic Loss Inside Solid and Laminated Components under Extreme Excitations

Cheng¹

2016

IJEPE

Self Cite

View full text Add to dashboard Cite

Abstract:The modeling and numerical analysis of the magnetic loss inside components under multi-harmonic and/or DC-biasing excitations are increasingly of concern in large and special electromagnetic devices. This paper aims to investigate efficient and reliable approaches to determine the magnetic losses inside both the solid and laminated components under such extreme excitations. All the proposed approaches presented in the paper are experimentally validated.

show abstract

Analysis of the DC Bias Phenomenon by the Harmonic Balance Finite-Element Method

Cited by 43 publications

References 20 publications

Analysis of the saturated electromagnetic devices under DC bias condition by the decomposed harmonic balance finite element method

Analysis of the saturated electromagnetic devices under DC bias condition by the decomposed harmonic balance finite element method

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

Magnetic Loss Inside Solid and Laminated Components under Extreme Excitations

Contact Info

Product

Resources

About