In this paper, we present a method for determining a steady-state operating point by solving an optimal power flow problem (OPF). The optimal power flow problem that we have developed is unique in that it includes constraints which force the system to exhibit small-signal stability at the steady-state operating point corresponding to the solution of the problem. Therefore, our power system will be stable with respect to small disturbances. When solving this OPF problem, it is necessary to evaluate how an oscillatory mode, or eigenvalue, changes when the OPF problem decision variables change. These are the eigenvalue sensitivities with respect to these variables. The Lagrange multipliers corresponding to the stability constraints tell us the cost of increasing the small-signal stability margin.
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