Weibull Distribution for Estimating the Parameters and Application of Hilbert Transform in case of a Low Wind Speed at Kolaghat

P Bhattacharya, S Mukhopadhyay


The wind resource varies with of the day and the season of the year and even some extent from year to year. Wind energy has inherent variances and hence it has been expressed by distribution functions. In this paper, we present some methods for estimating Weibull parameters in case of a low wind speed characterization, namely, shape parameter (k), scale parameter (c) and characterize the discrete wind data sample by the discrete Hilbert transform. We know that the Weibull distribution is an important distribution especially for reliability and maintainability analysis. The suitable values for both shape parameter and scale parameters of Weibull distribution are important for selecting locations of installing wind turbine generators. The scale parameter of Weibull distribution also important to determine whether a wind farm is good or not. Thereafter the use of discrete Hilbert transform (DHT) for wind speed characterization provides a new era of using DHT besides its application in digital signal processing. Basically in this paper, discrete Hilbert transform has been applied to characterize the wind sample data measured on College of Engineering and Management, Kolaghat, East Midnapore, India in January 2011.

Full Text:



P. Bhattacharya, R Bhattacharjee "A Study on Weibull Distribution for Estimating the Parameters", Wind Engineering 33 (5) (2009).

Feynman, Leignton, Sands-The Feynman Lectures on Physics. Volume2

Y.F. Lun, J.C. Lam, A study of Weibull parameters using long-term wind observations, Renewable Energy 20 (2) (2000) 145. CrossRef

D.M. Deaves, I.G. Lines, On the fitting of low mean wind speed data to the Weibull distribution, J. Wind Eng. Ind. Aerodyn. 66 (1997) 169. CrossRef

S.L. Hahn, Hilbert Transforms in Signal Processing, Artech House, Inc., Boston, London, 1996.

M.C. Alexiadis, P.S. Dokopoulos, H.S. Sahsamanoglou, I.M. Manousaridis, Short-term forecasting of wind speed and related electrical power, Sol. Energy 63 (1) (1998) 61. CrossRef

D. Gabor, Theory of communications, J. Inst. Electr. Eng. Part III 93 (1946) 429.

S. Mukhopadhyay, P. Bhattacharya-Characterization of Wind speed at Kolaghat, FOSET National Conference 2011, India, Proceeding.

Stone, G. C. and G. Van Heeswijk, "Parameter estimation for the Weibull distribution, IEEE Trans. On Elect Insul. Vol EI-12, No-4, August, 1977.

P. Gray and L. Johnson, Wind Energy System. Upper Saddle River, NJ: Prentice-Hall, 1985.

DOI: http://dx.doi.org/10.1260/1750-9548.5.3.203

Copyright (c) 2016 The International Journal of Multiphysics