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In this paper a methodology for calculation of the optimum size of a PV array for a stand-alone hybrid wind/PV system is developed. Long term data of wind speed and irradiance recorded for every hour of the day for 30 years were used. These data were used to calculate the probability density functions of the wind speed and the irradiance for each hour of a typical day in a month. The wind speed and irradiance probability density functions 2nd manufacturer's specification on a wind turbine and a PV module were used to calculate the average power generated by the wind turbine and the PV module for each hour of a typical day in a month. The least square method is used to determine the best fit of the PV array and wind turbine to a given load. On the basis of the energy concept an algorithm was developed to find the optimum size of the PV array in the system.

A mathematical model of each element of the StandAlone Wind Energy Conversion System is developed. The model variables are expressed in the d-q rotor reference frame. The wind turbine was considered as the only source of power in thisstudy. Using this model the system response to a recorded wind gust is investigated by calculating the generator current, the rectifier current, the load current, the battery charging current, and the battery voltage. The calculated results are then verified by comparing them with the actual values obtained from the data acquisition system. A good agreement was achieved between the experimental and the analytical results.

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