Abstract
In this study, a multi-objective stochastic optimal power flow (SOPF) problem with the presence of uncertain wind power generations is introduced. In particular, this study has two main contributions. First, it proposes a multi-objective SOPF which consists of the operating cost, voltage stability and emission effects as the objective functions. The wind uncertainty is formulated as a scenario-based technique. Demand response program is considered in this study, which is one of the most efficient control ways to reduce the risk of voltage instability after a contingency occurrence or a stressed loading condition. In addition, the proposed approach uses the technique of fuzzification to normalise all objective functions and to find the optimal solution. The second contribution proposes a line voltage stability index (LVSI). The proposed LVSI can detect precisely the voltage collapse in comparison with other LVSIs, especially after the occurrence of a given contingency due to the dynamic elements of the system. The proposed multi-objective SOPF is also carried out with different existing LVSIs as the objective functions. These approaches are tested and validated by the modified WECC test system, the IEEE 39-bus.
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