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.