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A probabilistic approach based on the convolution technique is presented to assess the performance of utility-interactive wind electric conversion systems supplying tools. The wind regime is modeled using a Weibull distribution. Expressions are developed to obtain the duration curve for the power injected into the utility grid. The energy injected into the grid and drawn from it to supply the load during the study period can be calculated from this duration curve. The load model employed enables the study period to range from one year to one particular hour-of-day, thus allowing the inclusion of the time-value of energy as appropriate in economic assessments.>
Abouzahr et al. (1991) studied this question.