On an exact analytical solution in Weibull probability distribution domain

Author

Calasan, Martin P. ; Perovich, Slavica M.

Author_Institution

Dept. of Electr. Enginering, Univ. of Montenegro, Podgorica, Montenegro

fYear

2014

fDate

13-16 May 2014

Firstpage

1218

Lastpage

1222

Abstract

The variation in wind speed are best described by the Weibull probability distribution function. In this paper, the problem of finding an exact analytical closed-form solution of some families of transcendental equations, which describe the Weibull probability distribution, is studied in some detail, by the Special Trans Functions Theory (STFT). A novel STFT mathematical approach by an analytical closed-form solution is presented. Structure of the STFT exact solutions, numerical results and graphical simulations confirm the validity and base principle of the STFT.

Keywords

Weibull distribution; wind power; STFT mathematical approach; Weibull probability distribution domain; analytical closed-form solution; exact analytical solution; graphical simulations; special trans functions theory; transcendental equations; wind speed; Closed-form solutions; Equations; Mathematical model; Probability distribution; Shape; Weibull distribution; Wind speed; STFT; Special Trans Functions Theory; Weibull probability distribution; wind speed;

fLanguage

English

Publisher

ieee

Conference_Titel

Energy Conference (ENERGYCON), 2014 IEEE International

Conference_Location

Cavtat

Type

conf

DOI

10.1109/ENERGYCON.2014.6850578

Filename

6850578