Please wait a minute...
      设为首页      加入收藏
           About Journal | Current Issue | Contacts Us | Chinese
Proceeding of the CSEE  2011, Vol. 31 Issue (9): 126-132    DOI:
Research Articles Current Issue | Archive | Adv Search |
Fixed-point Harmonic-balanced Finite Element Method and DC-biasing Magnetizing Characteristics of Laminated Core
ZHAO Xiaojun1, LI Lin1, CHENG Zhiguang2, LU Junwei3, LU Tiebing1
1. School of Electric and Electronic Engineering, North China Electric Power University
2. Baoding Tianwei Group Co. Ltd.
3. Griffith University
Download:  PDF(424KB) 
Export:  BibTeX | EndNote (RIS)      

The asymmetry of DC-biasing magnetizing curves leads to the discontinuity of magnetic reluctivity in traditional harmonic-balanced finite element method (HBFEM). Based on the B-H-M magnetic constitutive relation, the fixed-point technique divides the magnetic intensity into linear and nonlinear parts and overcomes the computational problem of discontinued magnetic reluctivity. The HBFEM combined with fixed-point technique was applied to calculate the magnetic field on the basis of DC-biasing magnetizing curve, considering the electromagnetic coupling. The value of fixed-point reluctivity was selected properly in the iterative computation aiming at fast convergence of the harmonic solutions. Finite element analysis of the laminated core model (LCM) was performed based on the DC-biasing magnetizing curve and the counterpart without DC bias respectively. The calculated results demonstrate that the variation of magnetizing characteristic of ferromagnetic material due to DC bias may affect the magnetizing current and magnetic field.

Key words:  DC bias      fixed-point technique      harmonic- balanced      laminated core model (LCM)      magnetizing curve     
Received:  26 August 2010      Published:  01 April 2011
ZTFLH:  TM 14  

Project Supported by National Natural Science Foundation of China (50677016); Project Supported by Natural Science Foundation of Hebei Province (E2006000772).

Corresponding Authors:  ZHAO Xiaojun     E-mail:

Cite this article: 

ZHAO Xiaojun LI Lin CHENG Zhiguang LU Junwei LU Tiebing. Fixed-point Harmonic-balanced Finite Element Method and DC-biasing Magnetizing Characteristics of Laminated Core. Proceeding of the CSEE, 2011, 31(9): 126-132.

URL:     OR

[1] DING Suyang, LIN Xiangning, WENG Hanli, ZHANG Zheyuan, LU Junsheng, LI Zhengtian, LI Zhen, LIU Yongxin. Mal-operation Risk Analysis on Zero-sequence Differential Protection of Converter Substation During Existence of Recovery Inrush Due to Fault Removal[J]. 中国电机工程学报, 2017, 37(s): 12-20.
[2] XIE Zhicheng, LIN Xiangning, LI Zhengtian, ZHENG Ying, GUO Qianwen, XIONG Weihong, BO Zhiqian. Flexible Suppression Scheme for DC Bias Based on Adjustable Parallel Resistance[J]. 中国电机工程学报, 2017, 37(20): 5862-5872.
[3] ZHANG Shuqi, LI Peng, XU Zhengyu, TANG Hao, LI Jinzhong, QIU Yuzhou, LIU Xueli. Assessment on Applied Magnetic Properties of Silicon Steel Sheet in UHV Transformer[J]. 中国电机工程学报, 2017, 37(18): 5511-5518.
[4] WANG Shuaibing, LI Lin, ZHAO Xiaojun, XIE Yuqing, CAI Linhai. Fixed-Point Time-Periodic Finite Element Method and Its Application for DC Bias Characteristics of Transformer[J]. 中国电机工程学报, 2017, 37(17): 5198-5205.
[5] WANG Yang, LIU Zhizhen. The Forecasting Method of Core Loss Under DC Bias Based on the Jiles Atherton Hysteresis Theory[J]. 中国电机工程学报, 2017, 37(1): 313-322.
[6] QIN Xing, LIN Yong, XU Zheng, XIAO Liang. Analysis of Coupling Effect on LCC-MMC Hybrid HVDC From Parallel AC Lines in Close Proximity[J]. 中国电机工程学报, 2016, 36(13): 3511-3520.
[7] GENG Chao, WANG Fenghua, SU Lei, ZHANG Jun. Parameter Identification of Jiles-Atherton Model for Transformer Based on Hybrid Artificial Fish Swarm and Shuffled Frog Leaping Algorithm[J]. 中国电机工程学报, 2015, 35(18): 4799-4807.
[8] HAN Yibo, LIU Yi, LIU Siwei, LIN Fuchang. Study on the Measurement of Pulse Magnetization Characteristics of Toroidal Magnetic Cores[J]. 中国电机工程学报, 2015, 35(16): 4239-4246.
[9] YE Jianying,CHEN Wei,WANG Jinghui. Research on the Core Loss Model Under PWM Wave and DC Bias Excitations[J]. 中国电机工程学报, 2015, 35(10): 2601-2606.
[10] WANG Daqing,BEN Hongqi,MENG Tao. A Flux DC Bias Suppression Scheme of Single-stage Full-bridge PFC Converters Based on Dead Zone Adjustment[J]. 中国电机工程学报, 2012, 32(30): 46-53.
[11] ZHAO Xiao-jun LI Lin CHENG Zhi-guang LU Jun-wei JIAO Cui-ping. Analysis of the DC Bias Phenomenon in Transformers Based on Harmonic-balanced Finite Element Method[J]. 中国电机工程学报, 2010, 30(21): 103-108.
[12] LI Chang-yun LI Qing-min LI Zhen SUN Qiu-qin. Transfer Characteristics of Current Transformers With DC Bias[J]. 中国电机工程学报, 2010, 30(19): 127-132.
[13] LI Xiao-ping WEN Xi-shan. DC Bias Computation Study on Three-phase Five Limbs Transformer[J]. 中国电机工程学报, 2010, 30(1): 127-131.
[14] . Flux DC Bias and Digital Suppression Scheme for Isolated Power Factor Correction Converter[J]. 中国电机工程学报, 2009, 29(3): 14-22.
[15] LI Hong-zhi CUI Xiang LU Tie-bing CHENG Zhi-guang LIU Dong-sheng JIAO Cui-ping. Electric Circuit and Magnetic Circuit Combined Model of DC Biased Power Transformer[J]. 中国电机工程学报, 2009, 29(27): 119-125.
No Suggested Reading articles found!
Support by Beijing Magtech