Analysis of Sensitivity Formulations for Voltage Stability and Reactive Power Control

Steady-state voltage stability analysis has been approached through different tools based on the polar coordinates power flow model, such as eigenvalues, minimum single value, PV and QV curves and linear sensitivities. In this paper, it is presented a discussion about the application of different sensitivity models, in order to analyze the problem about voltage behavior with respect to reactive power load increases in electric power systems. For this purpose, three different models used to obtain voltage linear sensitivities are formulated using the complete Jacobian matrix, reduced Jacobian matrix, and B” matrix from the fast decoupled power flow method. Results obtained with these models to a test system, as well as the advantages and disadvantages of each model are discussed.