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

Matthews, Ronald C.; Weaver, Wayne W.; Robinett, Rush D.; Wilson, David G.

doi:10.1016/j.ijepes.2017.11.041

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

Journal Article · Fri Dec 22 00:00:00 EST 2017 · International Journal of Electrical Power and Energy Systems

DOI:https://doi.org/10.1016/j.ijepes.2017.11.041· OSTI ID:1421634

Matthews, Ronald C. ^[1]; Weaver, Wayne W. ^[1]; Robinett, Rush D. ^[2]; Wilson, David G. ^[3]

Michigan Technological Univ., Houghton, MI (United States). Dept. of Electrical and Computer Engineering
Michigan Technological Univ., Houghton, MI (United States). Dept. of Mechanical Engineering-Engineering Mechanics
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

This study 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. Finally, simulation results demonstrate the efficacy of the approach in stabilizing and optimization of the microgrid.

Research Organization:: Michigan Technological Univ., Houghton, MI (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: National Science Foundation (NSF) (United States); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1421634

Alternate ID(s):: OSTI ID: 1569782

Report Number(s):: SAND2017--13839J; PII: S0142061517311079

Journal Information:: International Journal of Electrical Power and Energy Systems, Journal Name: International Journal of Electrical Power and Energy Systems Vol. 98; ISSN 0142-0615

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (1)

Droop Control in DQ Coordinates for Fixed Frequency Inverter-Based AC Microgrids Toub, Mohamed; Bijaieh, Mehrzad M.; Weaver, Wayne W. Electronics, Vol. 8, Issue 10 https://doi.org/10.3390/electronics8101168	journal	October 2019