Effective Method to Measure and Inspect the Hysteresis Loss of a Transformer

Arunava Chatterjee, Sankar Das, Debashis Chatterjee


This paper presents a study on the significance of source side harmonics and their effects on transformers.  Source side harmonics are typically present in power electronic sources which are commonly used in renewable applications. The continued outcome of source side harmonics is observed on the hysteresis curve of a transformer. Single-phase transformers are used in the proposed study to determine the effect of harmonics on magnetization and demagnetization cycles using an electronic operational amplifier-based integrator circuit. A technique is also presented for effectively storing and plotting the hysteresis curve from the measured data. After the hysteresis curve is obtained, it is compared with standard data and a conclusion is obtained from the results about the presence of harmonics in the source. The hysteresis curve is thus found without removing the transformer from operation. The study also proposes a modified hysteresis model for the transformer considering the effect of source harmonics. The proposed study is an effective tool for easy measurement and detection of harmonics. The MATLAB/Simulink based simulations with suitable experiments validate the proposed study.

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T.Dao, and B. T. Phung, “Effects of voltage harmonic on losses and temperature rise in distribution transformers,” IET Generation Transmission and Distribution, vol. 12, no.2, pp. 347–354, Jan. 2018.

V. Ioniţă, E. Cazacu and L. Petrescu, “Effect of voltage harmonics on iron losses in magnetic cores with hysteresis,” 2018 18th International Conference on Harmonics and Quality of Power (ICHQP), Ljubljana, 2018, pp. 1-5.

T. Dao, H. A. Halim, Z. Liu and B. T. Phung, “Voltage harmonic effect on losses in distribution transformers,” 2016 International Conference on Smart Green Technology in Electrical and Information Systems (ICSGTEIS), Bali, 2016, pp. 27-32.

E. So, R. Arseneau, and E. Hanique, “No-load loss measurements of power transformers under distorted supply voltage waveform conditions,” IEEE Transactions on Instrumentation and Measurement, vol. 52, no. 2, pp. 429-432, Apr. 2003.

J. Lavers, P. Biringer and H. Hollitscher, “Estimation of core losses when the flux waveform contains the fundamental plus a single odd harmonic component,” IEEE Transactions on Magnetics, vol. 13, no. 5, pp. 1128-1130, September 1977.

Y. Zhang, P. Pillay, M. Ibrahim and M. Cheng, “Magnetic characteristics and core losses in machine laminations: high-frequency loss prediction from low-frequency measurements,” IEEE Transactions on Industry Applications, vol. 48, no. 2, pp. 623-629, March-April 2012.

E. Arslan, S. Sakar and M. E. Balci, “On the no-load loss of power transformers under voltages with sub-harmonics,” 2014 IEEE International Energy Conference (ENERGYCON), Cavtat, 2014, pp. 228-233.

M. Amar and R. Kaczmarek, “A general formula for prediction of iron losses under nonsinusoidal voltage waveform,” IEEE Transactions on Magnetics, vol. 31, no. 5, pp. 2504-2509, Sept. 1995.

T. Nag, S. B. Santra, A. Chatterjee, D. Chatterjee and A. K. Ganguli, “Fuzzy logic-based loss minimisation scheme for brushless DC motor drive system,” IET Power Electronics, vol. 9, no. 8, pp. 1581-1589, 2016.

J. Faiz, M. Ghazizadeh and H. Oraee, “Derating of transformers under non-linear load current and non-sinusoidal voltage – an overview,” IET Electric Power Applications, vol. 9, no. 7, pp. 486-495, 2015.

D.G. Ece and H. Ackay, “An analysis of transformer excitation current under nonsinusoidal supply voltage,” IEEE Transactions on Instrumentation and Measurement, vol. 51, no. 5, pp. 1085-1089, 2002.

R. Arseneau, E. So and E. Hanique, “Measurements and correction of no-load losses of power transformers,” IEEE Transactions on Instrumentation and Measurement, vol. 54, no. 2, pp. 503-506, 2005.

T.D. Kefalas and A.G. Kladas, “Harmonic impact on distribution transformer no-load loss,” IEEE Transactions on Industrial Electronics, vol. 57, no. 1, pp. 193-200, Jan. 2010.

X. Liu, C. Yao, S. Liang, J. Wang and T. Liu, “Measurement of the no-load characteristics of single-phase transformer using an improved low-frequency method,” IEEE Transactions on Industrial Electronics, vol. 65, no. 5, pp. 4347-4356, May 2018.

D. Chatterjee, “A novel magnetizing-curve identification and computer storage technique for induction machines suitable for online application,” IEEE Transactions on Industrial Electronics, vol. 58, no. 12, pp. 5336-5343, Dec. 2011.


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