Hamiltonian methods of modeling and control of AC microgrids with spinning machines and inverters

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Department of Electrical and Computer Engineering; Department of Mechanical Engineering-Engineering Mechanics


This paper presents a novel approach to the modeling and control of AC microgrids that contain spinning machines, power electronic inverters and energy storage devices. The inverters in the system can adjust their frequencies and power angles very quickly, so the modeling focuses on establishing a common reference frequency and angle in the microgrid based on the spinning machines. From this dynamic model, nonlinear Hamiltonian surface shaping and power flow control method is applied and shown to stabilize. From this approach the energy flow in the system is used to show the energy storage device requirements and limitations for the system. This paper first describes the model for a single bus AC microgrid with a Hamiltonian control, then extends this model and control to a more general class of multiple bus AC microgrids. Simulation results demonstrate the efficacy of the approach in stabilizing and optimization of the microgrid.

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© 2017 Elsevier Ltd. Publisher’s version of record: https://doi.org/10.1016/j.ijepes.2017.11.041

Publication Title

International Journal of Electrical Power and Energy Systems