A Large-Pulsating-Current Generation and its Application to Identifying Parameters in Jiles-Atherton Model for Current Transformer

Daming Zhang, Toan Phung


The purpose of this paper is to present a method for identifying Jiles-Atherton’s parameters of current transformer (CT) using differential evolution algorithm and a pulsating current source. The pulse currents are produced from a simple inductor circuit under switched transient. As peak of inrush current can be as high as twenty times its steady-state value and lasts just one to two cycles, such approach has the advantage that it is simple yet it can produce very large current with limited investment to characterize commercial magnetic cored CTs and optical CTs with large current ratings. To illustrate the method of identifying parameters in Jiles-Atherton model using pulse current source, a current transformer with relatively low current rating was used in the experiment. Besides parameters in the Jiles-Atherton model, effective mean length, effective mean cross section and leakage inductance of the CT are also parameters to be identified. Two objective functions were used in the parameter identification, one of which uses the difference of the calculated and measured output currents and the other of which uses the difference of the calculated and measured input currents. With the identified parameters, measured input current is used to predict output current, which is found in good agreement with its measured ones; vice versa, the measured output current is used to predict the input current, which is also found in good agreement with its measured ones.  The proposed method is useful in compensation of current transformer, especially under severe fault condition, in which measured current at secondary side is significantly different from its primary side downscaled values. For protection system to operate properly, a proper compensation can be implemented by adapting the proposed method in this paper.





Current transformer, Jiles-Atherton model, Parameter identification, Saturation.

Full Text:



. SadikKucuksari, and George G.Karady, “Experimental Comparison of Conventional and Optical Current Transformers”, IEEE Trans. Power Del., vol. 25, no. 4, pp. 2455-2463, 2010.

. Kondrath, Nisha; Kazimierczuk, Marian K., “Bandwidth of Current Transformers”, IEEE Trans. Instrum. Meas., vol. 58, no. 6, pp. 2008-2016, 2009.

. Firouz Badrkhani Ajaei, Majid Sanaye-Pasand, Mahdi Davarpanah, Afshin Rezaei-Zare, and Reza Iravani, “Compensation of the Current-Transformer Saturation Effects for Digital Relays”, IEEE Trans. Power Del., vol. 26, no. 4, pp. 2531-2540, 2011.

. L. Dalessandro and A. Ferrero, “A Method for the Determination of the Parameters of the Hysteresis Model of Magnetic Materials”, IEEE Trans. Instrum. Meas., vol. 43, no. 4, pp. 599-605, AUG 1994.

. Sy-Ruen Huang, Hong-Tai Chen, Chueh-Cheng Wu, Chau-Yu Guan, and Chiang Cheng, “Distinguishing Internal Winding Faults From Inrush Currents in Power Transformers Using Jiles-Atherton Model Parameters Based on Correlation Coefficient”, IEEE Trans. Power Del., vol. 27, no. 2, pp. 548-553, 2012.

. Shun-Tsai Liu , Sy-Ruen Huang, Hung-Wei Chen, Ting-Yen Hsien, “Current Transformer Module Basing the Jiles-Atherton Hysteresis Model in EMTP/ATP Simulation”, IPEC: International Power Engineering Conference, Vols 1 and 2 Pages: 653-656, Published: 2005.

. Ali Hooshyar and Majid Sanaye-Pasand, “CT Saturation Detection Based on Waveform Analysis Using a Variable-Length Window”, IEEE Trans. Power Del., vol. 26, no. 3, pp. 2040-2-50, 2011.

. N. Locci and C. Muscas, “A digital compensation method for improving current transformer accuracy”, IEEE Trans. Power Del., vol.15, no. 4, pp. 1104–1109, Oct. 2000.

. Y. C. Kang, U. J. Lim, S. H. Kang, and P. A. Crossley, “Compensation of the distortion in the secondary current caused by saturation and remanence in a CT”, IEEE Trans. Power Del., vol. 19, no. 4, pp. 1642–1649, Oct. 2004.

. X. Wang, D. W. P. Thomas, M. Sumner, J. Paul, and S. H. L. Cabral, “Characteristics of Jiles–Atherton Model Parameters and Their Application to Transformer Inrush Current Simulation”, IEEE Trans. Magn., vol. 44, no. 3, pp. 340-345, 2008.

. D.M Zhang, K.J. Tseng and Y.T. Liu, “Study on Inrush Current Phenomenon in DC-DC Converter with Isolating Transformer”, AUPEC New Zealand, 2010.

. D.C. Jiles, “Frequency Dependence of Hysteresis Curves in Non-conducting Magnetic Materials”, IEEE Trans. Magn., vol. 29, pp. 3490-3492, 1993.

. D. C. Jiles, "A self consistent generalized model for the calculation of minor loop excursions in the theory of hysteresis", IEEE Trans. Magn., vol. 28, pp. 2602-2604, 1992.

. D.M.Zhang, and Fletcher John, “Double-Frequency Method Using Differential Evolution for Identifying Parameters in the Dynamic Jiles-Atherton Model of Mn-Zn Ferrites”, IEEE Trans. Instrumentation and Measurement, vol. 62, no. 2, pp. 460-466, 2013.

. V. Kenneth,Price , Rainer M. Storn, Jouni A. Lampinen, Differential Revolution – A Practical Approach to Global Optimization, Natural Computing Series, Springer, 2005.

. Anyong Qing, DIFFERENTIAL EVOLUTION -Fundamentals and Applications in Electrical Engineering, John Wiley & Sons Pte Ltd, 2009.

. S. G. Mallat, "Time Meets Frequency", in A Wavelet Tour of Signal Processing : The Sparse Way, Sparse ed Amsterdam ; Boston: Elsevier /Academic Press, pp. 89-150, 2009.

. S. G. Mallat, "Denoising", in A Wavelet Tour of Signal Processing : The Sparse Way, Sparse ed Amsterdam ; Boston: Elsevier /Academic Press, pp. 535-606, 2009.


  • There are currently no refbacks.

Copyright (c)