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

Document Type

Conference Proceeding

Publication Date



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 references frequency and angle in the microgrid based on the spinning machines. From this dynamic model, nonlinear Hamiltonians surface shaping 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. The modeling and control approach presented in this paper enables a unified, stable response to system disturbances, thus increasing resiliency. This paper first describes the dynamic model for a AC microgrid used for the controls development. Then a Hamiltonian energy based control is developed and shown to be stable and robust. A simulation example demonstrate the efficacy of the approach in stabilizing and optimization of the AC microgrid.

Publisher's Statement

© 2016 IEEE. Publisher’s version of record: https://doi.org/10.1109/SPEEDAM.2016.7526027

Publication Title

2016 International Symposium on Power Electronics, Electrical Drives, Automation and Motion, SPEEDAM 2016