Feasible eigenvalue sensitivity for large power systems

Traditional eigenvalue sensitivity studies of power systems require the formulation of the system matrix, which lacks sparsity. A new sensitivity analysis approach, derived for a sparse formulation, is presented. Variables that are computed as intermediate results in established eigenvalue programs for power systems, but not used further, are given a new interpretation. The effect of virtually any control action can be assessed on the basis of a single eigenvalue-eigenvector calculation. In particular, the effect of active and reactive power modulation can be found as a multiplication of two or three complex numbers. The method is illustrated by an application to control design for an HVDC link in a large power system.>