Stochastic Optimal Preventive Voltage Stability Control in Power Systems under Demand Response Program

This chapter provides a new approach to prevent voltage instability, considering load uncertainty and stochastic wind power generation where correlations among loads and wind powers are modeled in stochastic programming. Some scenarimos are generated based on the correlation matrix and considering electrical distances, while the preventive voltage instability problem is formulated as two-stage stochastic programming problem. Demand response, load shedding, and rescheduled active and reactive powers of generation units are control facilities which are classified into two categories, namely, here-and-now and wait-and-see based on the decision making stage. Reactive power of power plants, demand response, and load shedding take part as wait-and-see facilities, whereas power plant active power is the solo player in here-and-now team. The proposed approach is simulated on the standard IEEE 118-bus test system. Comprehensive analyses are carried out and results demonstrate the impact of uncertainties and correlations on the proposed method.