A Large-Pulsating-Current Generation and its Application to Identifying Parameters in Jiles-Atherton Model for Current Transformer
Keywords:Current transformer, Jiles-Atherton model, Parameter identification, Saturation.
The purpose of this paper is to present a method for identifying Jiles-Athertonâ€™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.Â 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.
. SadikKucuksari, and George G.Karady, â€œExperimental Comparison of Conventional and Optical Current Transformersâ€, IEEE Trans. Power Del., vol. 25, no. 4, pp. 2455-2463, 2010.
. Kondrath, Nisha; Kazimierczuk, Marian K., â€œBandwidth of Current Transformersâ€, 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, â€œCompensation of the Current-Transformer Saturation Effects for Digital Relaysâ€, IEEE Trans. Power Del., vol. 26, no. 4, pp. 2531-2540, 2011.
. L. Dalessandro and A. Ferrero, â€œA Method for the Determination of the Parameters of the Hysteresis Model of Magnetic Materialsâ€, 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, â€œDistinguishing Internal Winding Faults From Inrush Currents in Power Transformers Using Jiles-Atherton Model Parameters Based on Correlation Coefficientâ€, IEEE Trans. Power Del., vol. 27, no. 2, pp. 548-553, 2012.
. Shun-Tsai Liu , Sy-Ruen Huang, Hung-Wei Chen, Ting-Yen Hsien, â€œCurrent Transformer Module Basing the Jiles-Atherton Hysteresis Model in EMTP/ATP Simulationâ€, IPEC: International Power Engineering Conference, Vols 1 and 2 Pages: 653-656, Published: 2005.
. Ali Hooshyar and Majid Sanaye-Pasand, â€œCT Saturation Detection Based on Waveform Analysis Using a Variable-Length Windowâ€, IEEE Trans. Power Del., vol. 26, no. 3, pp. 2040-2-50, 2011.
. N. Locci and C. Muscas, â€œA digital compensation method for improving current transformer accuracyâ€, IEEE Trans. Power Del., vol.15, no. 4, pp. 1104â€“1109, Oct. 2000.
. Y. C. Kang, U. J. Lim, S. H. Kang, and P. A. Crossley, â€œCompensation of the distortion in the secondary current caused by saturation and remanence in a CTâ€, IEEE Trans. Power Del., vol. 19, no. 4, pp. 1642â€“1649, Oct. 2004.
. X. Wang, D. W. P. Thomas, M. Sumner, J. Paul, and S. H. L. Cabral, â€œCharacteristics of Jilesâ€“Atherton Model Parameters and Their Application to Transformer Inrush Current Simulationâ€, IEEE Trans. Magn., vol. 44, no. 3, pp. 340-345, 2008.
. D.M Zhang, K.J. Tseng and Y.T. Liu, â€œStudy on Inrush Current Phenomenon in DC-DC Converter with Isolating Transformerâ€, AUPEC New Zealand, 2010.
. D.C. Jiles, â€œFrequency Dependence of Hysteresis Curves in Non-conducting Magnetic Materialsâ€, 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, â€œDouble-Frequency Method Using Differential Evolution for Identifying Parameters in the Dynamic Jiles-Atherton Model of Mn-Zn Ferritesâ€, IEEE Trans. Instrumentation and Measurement, vol. 62, no. 2, pp. 460-466, 2013.
. V. Kenneth,Price , Rainer M. Storn, Jouni A. Lampinen, Differential Revolution â€“ 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.
How to Cite
- Papers must be submitted on the understanding that they have not been published elsewhere (except in the form of an abstract or as part of a published lecture, review, or thesis) and are not currently under consideration by another journal published by any other publisher.
- It is also the authors responsibility to ensure that the articles emanating from a particular source are submitted with the necessary approval.
- The authors warrant that the paper is original and that he/she is the author of the paper, except for material that is clearly identified as to its original source, with permission notices from the copyright owners where required.
- The authors ensure that all the references carefully and they are accurate in the text as well as in the list of references (and vice versa).
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Attribution-NonCommercial 4.0 International that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
- The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author.