Wind and Structures

Volume 22, Number 4, 2016, pages 393-408

DOI: 10.12989/was.2016.22.4.393

A Mathematical model to estimate the wind power using three parameter Weibull distribution

C.V. Seshaiah and K. Sukkiramathi

Abstract

Weibull distribution is a suitable distribution to use in modeling the life time data. It has been found to be a exact fit for the empirical distribution of the wind speed measurement samples. In brief this paper consist of important properties and characters of Weibull distribution. Also we discuss the application of Weibull distribution to wind speed measurements and derive an expression for the probability distribution of the power produced by a wind turbine at a fixed location, so that the modeling problem reduces to collecting data to estimate the three parameters of the Weibull distribution using Maximum likelihood Method.

Key Words

three-parameter Weibull distribution; mean; variance; maximum likelihood method; wind power

Address

C.V. Seshaiah and K. Sukkiramathi: Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, 641022, India