Structure Preserving Dynamic Graphs for Power Systems

Large-scale integration of renewable energy resources presents the challenge of coordinating the output of numerous small generators and loads. This coordination problem typically involves solving a large centralized optimization problem. The growing number of decision variables associated with renewable resources increases the computational complexity of this coordination problem. Several approaches address this issue by decomposing the centralized problem into smaller, more computationally tractable subproblems. In this work, we extend the Kron-reduced dynamic graph to a structure-preserving model using the framework of non-uniform Kuramoto oscillators. We demonstrate how slow coherency can be used to identify groups of dynamically coherent nodes on the IEEE 14-bus test system, which can then serve as a basis for decomposing the centralized coordination problem.