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We study nonlinear power systems consisting of generators, generator buses,and non-generator buses. First, looking at a generator and its bus' variablesjointly, we introduce a synchronization concept for a pair of such jointgenerators and buses. We show that this concept is related to graph symmetry.Next, we extend, in two ways, the synchronization from a pair to a partition ofall generators in the networks and show that they are related to either graphsymmetry or equitable partitions. Finally, we show how an exact reduced modelcan be obtained by aggregating the generators and associated buses in thenetwork when the original system is synchronized with respect to a partition,provided that the initial condition respects the partition. Additionally, theaggregation-based reduced model is again a power system.

Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures