Security Constraint Optimal Reactive Power Dispatch under Uncertainty in a Wind Integrated Power System

Classical Optimal Reactive Power Dispatch (ORPD) is usually formulated as a deterministic optimization problem. This optimization problem is related to system security and economy. However, power systems are stochastic in nature. They include multiple technical uncertainties such as network structure, demand and intermittent sources like wind generators. This paper addresses a Security Constraint Optimal Reactive Power Dispatch (SC-OPRD) problem to incorporate aforementioned uncertain factors and power system security constraints. A Technical-Economical objective function is proposed for the introduced problem. This objective function includes network voltage stability risk reduction as technical and operational cost as economic objectives. Operational cost is formulated as cost of power system loss and reactive power supplied by generators. The NSGA-II optimization algorithm is used to find the nondominated solutions (Pareto front). Monte Carlo Simulation (MCS) is utilized to approximate underlying distributions of uncertain parameters. IEEE 30-bus test systems is used to validate the proposed SC-OPRD. Results analysis demonstrates the proposed method is to solve the SC-OPRD problem considering uncertainties.