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TO ESTIMATE THE FAULT IN TRANSMISSION LINE USING HAAR FUNCTION

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Author(s): Dr. Upendra Prasad | Rakesh Kumar Singh | Dr. Arvind Kumar Singh

Journal: International Journal of Engineering Science and Technology
ISSN 0975-5462

Volume: 3;
Issue: 8;
Start page: 6564;
Date: 2011;
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Keywords: Haar function | Haar co-efficient | fourier series | fundamental | second and fifth harmonics etc.

ABSTRACT
In order to estimate the fault occurrence quickly and fast identification of the type of fault, the algorithm based on Haar function is proposed herewith. In this paper, the sine and cosine Fourier co-efficient are expressed in terms of Haar co-efficient. The Haar co-efficient and the data samples in post fault period give the Fourier coefficients by using simple mathematical operations. Thus the amplitude of different harmonics is determined in terms of Haar functions. Haar functions have amplitude characteristics which is very suitable for fast computation. It has constant amplitude (plus or minus) over the entire period. In case of transmission line, the relative value of the combined amplitude of the second and fifth harmonics compared to the amplitude of the fundamental waveform forms the basis of the fault detection. Also by identifying the dominance of a particular harmonics, the type of fault can be confirmed.
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