This paper describes the development of a general probabilistic model of an
autonomous wind energy conversion system (WECS) composed of several wind t
urbines (wind farm) connected to a load and a battery storage. The proposed
technique allows the simulation of wind farms containing identical or diff
erent wind turbines types and considers a bi-directional flow of power in a
nd out of the battery. The model is based upon a simple procedure to estima
te the joint probability distribution function of the total available wind
power and that of the turbines operating modes due to hardware failure. A m
ethodology is also developed to use the proposed model to determine an uppe
r limit on the size of the battery storage required for a given number of t
urbines to satisfy the load with a certain expected energy not supplied (EE
NS). The model can also be used to evaluate the energy purchased from or in
jected to the grid in the case of grid-connected systems.