Advanced SearchSearch Tips
Estimation of the Separate Primary and Secondary Leakage Inductances of a Y-Δ Transformer Using Least Squares Method
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Estimation of the Separate Primary and Secondary Leakage Inductances of a Y-Δ Transformer Using Least Squares Method
Kang, Yong-Cheol; Lee, Byung-Eun; Hwang, Tae-Keun;
  PDF(new window)
This paper proposes an estimation algorithm for the separate primary and secondary leakage inductances of a three phase transformer using least squares method. The voltage equations from the primary and secondary windings are combined into a differential equation to estimate the separate primary and secondary leakage inductances in order to use the line current of the delta winding. Separate primary and secondary leakage inductances are obtained by applying least squares method to the differential equation. The performance of the proposed algorithm is validated under transient states, such as magnetic inrush and overexcitation, as well as in the steady state with various cut-off frequencies of low-pass filter. The proposed technique can accurately generate separate leakage inductances both in the steady and transient states.
Leakage inductance;Delta winding current;Least squares method;
 Cited by
Multi-field Coupling Simulation and Experimental Study on Transformer Vibration Caused by DC Bias, Journal of Electrical Engineering and Technology, 2015, 10, 1, 176  crossref(new windwow)
C. D. Hayward, “Harmonic-Current-Restrained Relays for Transformer Differential Protection,” AIEE Trans., Vol. 60, pp. 377-382, 1941.

R. L. Sharp and W. E. Glassburn, “A Transformer Differential Relay with Second-Harmonic Restraint”, AIEE Trans. Part III, Vol. 77, pp. 913-918, 1958.

C. H. Einvall and J. R. Linders, “A Three-phase Differential Relay for Transformer Protection”, IEEE Trans. on PAS, Vol. 94, No. 6, pp. 1971-1980, Nov./Dec. 1975. crossref(new window)

K. Inagaki, M, Higaki, Y. Matsui, K. Kurita, “Digital Protection Method for Power Transformer Based on an Equivalent Circuit Composed of Inverse Inductance”, IEEE Trans. on PWRD, Vol.3, No.4, pp. 1501-1510, Oct. 1988

M. S. Sachdev, T. S. Sidhu, and H. C. Wood, “A Digital Relaying Algorithm for Detection Transformer Winding Faults,” IEEE Trans. on PWRD, Vol. 4, No. 3, pp. 1638-1648, Jul. 1989.

Y. C. Kang and B. E. Lee, “A Transformer Protection Relay Based on Induced Voltages,” KIEE Trans on Power Engineering, Vol. 3-A, No. 2, pp. 70-78, Jun. 2003.

A. Keyhani, S.M. Miri, and S. Hao, “Parameter Estimation for Power Transformer Models from Time- Domain Data,” IEEE Trans. PWRD, Vol. 1, No. 3, pp. 140-146, July 1986.

S. A. Soliman, R. A. Alammari, and M. A. Mostafa, “On-line estimation of transformer model parameters”, LESCOPE'04, 2004 Large Engineering Systems Conf. on Power Engineering, Westin Nova Scotian, Canada, 28-30. pp. 170-178, Jul. 2004.