The stochastic nature of the wind and the highly non linear transform from wind speed to electrical energy makes it more difficult to determine how to dispatch the power in order to guarantee both operational cost reduction and power system security. From a network constraint perspective for the economic dispatch problem one of the factors to be accounted for is voltage security, which impacts both active and/or reactive power dispatch. In this paper, an Optimal Reactive Power Dispatch based on Particle Swarm Optimization (PSO) using Graph Theory has been proposed to overcome the above-mentioned problem. Graph Theory has been used since it becomes very useful in cases of fault detection and isolation or to shed unbalanced nodes in case of excessive or insufficient supply. Simulation studies on the modified IEEE-14 Bus System have been conducted to show the effectiveness of the proposed method.