Topology Identification for Dynamic Equivalent Models of Large Power Systems using `1/`2 Optimization

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 a `2 minimization approach. Next, we consider the problem of identifying a sparse equivalent network topology using a `1/`2 minimization technique. We illustrate our results using IEEE 39-bus model and an Australian 59-bus model.