Construction of Mathematical-Statistical Model of Wind Energy in Iraq Using Different Weibull Distribution Functions

In the past few years, the world has witnessed a rush towards the use of clean renewable energy sources in order to reduce environmental pollution, energy cost, fuel consuming. Therefore, this work focused toward an important sector in renewable energy, which is wind energy, where the work was divided into four objectives namely;- Wind statistics: This  item  presents  a  statistical  analysis  of  the  wind resources at five selected sites (Ali Al-karbee, Baghdad, Basrah, Nasiriya, Kerbala) conducted on annual and monthly basis. The statistical of wind data sets were analyzed using Weibull distribution functions, thus, nine analytical methods were considered to estimate Weibull parameters. The results show that the new presented method equivalent energy method (EEM) gives the best power density estimation. The SUZLON S64-950  is our virtual chosen wind turbine whose capacity factor is the criterion used for pairing between each site and wind turbine, where it is equal to 0.12,0.03, 0.05, 0.08, 0.09 for Ali Al-karbee, Baghdad, Basrah, Nasiriya, and Kerbala sites respectively.- Turbulence intensity (TI): It is very important factor in determining the performance and productivity of the wind turbines. This means, an appropriate turbine class must be known before setting a turbine in a wind farm. In this work we calculate mean TI (50 th quantile) and representative TI (90th quantile) at the provinces of Nasiriya and Kerbala, in addition to determine the wind turbine category after comparison with the normal turbulence model which belongs to IEC standards. The results confirm that category C is suitable for wind turbine installation at the selected sites.- Wake effect: The effects of upstream wind turbines on the performance of the downstream (reference) wind turbine are calculated through effective turbulence ) factor at Nasiriya site. Frandsen model for SUZLON S64-950 wind turbine with 71m rotor diameter is used. These effects include the number of upstream wind turbines and the distance of separation between them. In addition, I intensity (Ieff also is estimated for 8 sectors at the selected site. The study shows how the I  could be increased by increasing the number turbines surrounding the reference one, or decreased by installing an upstream turbine at far distance from the reference one. - Financial analysis: Three methods have been used for economics, namely  Cost of energy which depends on kWh of electricity generated. The ratio of the total returns from electricity to the total costs of the turbine. The payback period.