Aggregated Modeling of Synchronous Generators Using Transfer Matrices

In power system analysis, sometimes the combined influence of a part of the network is desirable/investigated instead of the dynamics of the individual components therein. For such studies, aggregated models of system components would become beneficial when obtaining the equivalent circuits for the subject part of the network. This paper presents an aggregation method for modeling a cluster of synchronous generators (SGs) connected to a common bus in a power grid. First, it is shown how the so-called transfer matrices can be used for equivalent dynamic modeling of the system components, e.g., SGs with field and damper windings. Then, the transfer matrix-based models of SGs are aggregated to obtain an equivalent dynamic model for the cluster of SGs. The proposed aggregated model of SGs is then validated compared to their full-order qd models using computer simulations. It is verified that the proposed aggregation technique can preserve the dynamic behavior of parallel SGs very accurately for low- and high-frequency electromagnetic oscillations while being computationally more efficient than their classical full-order qd model counterparts.