DETERMINATION OF WEIBULL PARAMETERS FOR WIND APPLICATIONS IN TWO DIFFERENT REGIONS

In this work, the main objective is to determine the shape (k) and scale (c) parameters of the Weibull probability density function through four numerical methods, known as graphical method (GM), empirical method of Justus (EMJ), empirical method of Lysen (EML), and moment method (MM) in two distinct cities, Gravatá-PE and Osório-RS, under the influence of two wind regimes. To do that, it will be used the hourly wind data obtained through NASA's Meteonorm database, from 2006 to 2015. Statistical analyzes also will be used to determine the best method used to determine these parameters.

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Comparison Of Three Numerical Methods For Estimating Weibull Parameters Using Weibull Distribution Model In Nigeria

Nigerian Journal of Basic and Applied Sciences ◽

10.4314/njbas.v27i2.2 ◽

2020 ◽

Vol 27 (2) ◽

pp. 8-15

Author(s):

J.A. Oyewole ◽

F.O. Aweda ◽

D. Oni

Keyword(s):

Standard Deviation ◽

Wind Speed ◽

Probability Density Function ◽

Weibull Distribution ◽

Probability Density ◽

Density Function ◽

Accurate Estimation ◽

Weibull Parameters ◽

Factor Method ◽

Deviation Method

There is a crucial need in Nigeria to enhance the development of wind technology in order to boost our energy supply. Adequate knowledge about the wind speed distribution becomes very essential in the establishment of Wind Energy Conversion Systems (WECS). Weibull Probability Density Function (PDF) with two parameters is widely accepted and is commonly used for modelling, characterizing and predicting wind resource and wind power, as well as assessing optimum performance of WECS. Therefore, it is paramount to precisely estimate the scale and shape parameters for all regions or sites of interest. Here, wind data from year 2000 to 2010 for four different locations (Port Harcourt, Ikeja, Kano and Jos) were analysed and the Weibull parameters was determined. The three methods employed are Mean Standard Deviation Method (MSDM), Energy Pattern Factor Method (EPFM) and Method of Moments (MOM) for estimating Weibull parameters. The method that gave the most accurate estimation of the wind speed was MSDM method, while Energy Pattern Factor Method (EPFM) is the most reliable and consistent method for estimating probability density function of wind. Keywords: Weibull Distribution, Method of Moment, Mean Standard Deviation Method, Energy Pattern Method

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The Combined Closed Form-Perturbation Approach to the Analysis of Mistuned Bladed Disks

Journal of Turbomachinery ◽

10.1115/1.2929315 ◽

1993 ◽

Vol 115 (4) ◽

pp. 771-780 ◽

Cited By ~ 13

Author(s):

M. P. Mignolet ◽

C.-C. Lin

Keyword(s):

Probability Density Function ◽

Probability Density ◽

Density Function ◽

Approximate Solutions ◽

Forced Response ◽

Perturbation Approach ◽

Perturbation Techniques ◽

Step Method ◽

Bladed Disk

A two-step method is presented for the determination of reliable approximations of the probability density function of the forced response of a randomly mistuned bladed disk. Under the assumption of linearity, an integral representation of the probability density function of the blade amplitude is first derived. Then, deterministic perturbation techniques are employed to produce simple approximations of this function. The adequacy of the method is demonstrated by comparing several approximate solutions with simulation results.

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