Topology identification for dynamic equivalent models of large power system networks

In this paper we propose two algorithms to identify the equivalent topology of reduced-order models of power systems using measurements of phase angles and frequencies available from Phasor Measurement Units (PMUs). We first show that the topology identification problem can be posed as a parameter estimation problem. Thereafter, we extract the slow oscillatory component of the PMU measurements using subspace identification methods and use them for identifying the topological parameters via conventional ℓ2 minimization approach. Next, we consider the problem of identifying a sparse equivalent network topology using a ℓ1/ℓ2 minimization technique. We illustrate our results using a IEEE 39-bus model.