Moment method is based on the numerical iteration of the following two equations while the mean ( ) and standard deviation ( ) of wind speeds are available:
You firstly group the wind speed data like,,, wind bin such as 0-1; 1-2; 2-3; 3-4....like way and with the frequencies of their occurrences in a particular periods and solve it for the LSM,, you will get the predicted values of frequencies which help in knowing the shape and scale factor of wind data of that topography.
Dear Vivek, I know about LSM, I am asking about Moment Method. You can see the equation given in the attachment and then please help how to calculate weibull parameter using Moment method?
When you divide sample mean by sample standard deviation, you will se that the ratio will be only a function of Weibull shape parameter, m. Use Excel Solver to find the value of m that gives the same ratio as you got from the sample. Note: Excel has a "gammaln" function so to find the outcome of the gamma function type "exp(gammaln(....)". Let me know if you need more help. By the way, the mean over stand deviation ratio is almost a perfectly linear function of m. See my paper:
https://www.researchgate.net/publication/235911047_On_estimating_Weibull_modulus_by_moments_and_maximum_likelihood_methods?ev=srch_pub
Article On estimating Weibull modulus by moments and maximum likelih...
I think the best method for solving weibull parameters is using MATLAB,
You can use this code for calculating parameters and plotting figures,
First put your wind data in same folder with "wind_speed.xls" file name,
Thank you very much Omid Alavi,
I will contact you if find any problem
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