A GENERAL PARAMETRIC OPTIMAL POWER-FLOW

This paper is a generalization and extension of earlier research in pa rametric optimal power flow. Its principal features are: (i) the use o f a full non-linear OPF model, (ii) a more general parameterization of equalities, inequalities and objective function and (iii) an algorith m that exactly tracks the OPF behaviour in terms of the continuation p arameter. The parameterization allows us to distinguish between two ph ases. One serves to find the OPF solution to a static problem for a fi xed load and network starting from an arbitrary initial condition. The second, finds the trajectories corresponding to varying loads. The op timal trajectories, in both phases, offer an excellent visualization o f the complex nature of the OPF solutions, that is, the highly non-lin ear behaviour and the sensitivity of the solutions to parameter variat ions.