Preventive Voltage Control Scheme Considering Demand Response, Correlated Wind and Load Uncertainties

Abstract

This paper presents a new scenario based method to prevent voltage instability under wind and load uncertainties considering correlation among wind turbines and loads. The correlated load and wind scenarios are generated based on the correlation matrix as well as Normal and Rayleigh probability density functions. Electrical distances are used to generate the correlation matrix among loads. Then, the preventive voltage instability problem is formulated two-stage stochastic programming problem. Control facilities include rescheduled active and reactive power of generation units, load shedding and demand response. The considered control facilities are classified into two different categories based on the stage of decision making. These categories are named here-and-now and wait-and-see. Demand response, load shedding and reactive power output of power plants are wait-and-see facilities, whereas active power of power plants is considered as here-and-now facility. The proposed method is tested on the standard IEEE 118-bus test system. Comprehensive analyses are carried out demonstrating the impact of uncertainties and correlations, as realistic load and wind modeling, on the problem