Hamiltonian methods of modeling and control of AC microgrids with spinning machines and inverters
Abstract
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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Michigan Technological Univ., Houghton, MI (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
- OSTI Identifier:
- 1421634
- Alternate Identifier(s):
- OSTI ID: 1569782
- Report Number(s):
- SAND2017-13839J
Journal ID: ISSN 0142-0615; PII: S0142061517311079
- Grant/Contract Number:
- NA0003525; 1541148
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal of Electrical Power and Energy Systems
- Additional Journal Information:
- Journal Volume: 98; Journal ID: ISSN 0142-0615
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 24 POWER TRANSMISSION AND DISTRIBUTION; 42 ENGINEERING; Hamiltonian surface shaping and power flow control (HSSPFC); microgrids; nonlinear control
Citation Formats
Matthews, Ronald C., Weaver, Wayne W., Robinett, Rush D., and Wilson, David G. Hamiltonian methods of modeling and control of AC microgrids with spinning machines and inverters. United States: N. p., 2017.
Web. doi:10.1016/j.ijepes.2017.11.041.
Matthews, Ronald C., Weaver, Wayne W., Robinett, Rush D., & Wilson, David G. Hamiltonian methods of modeling and control of AC microgrids with spinning machines and inverters. United States. https://doi.org/10.1016/j.ijepes.2017.11.041
Matthews, Ronald C., Weaver, Wayne W., Robinett, Rush D., and Wilson, David G. Fri .
"Hamiltonian methods of modeling and control of AC microgrids with spinning machines and inverters". United States. https://doi.org/10.1016/j.ijepes.2017.11.041. https://www.osti.gov/servlets/purl/1421634.
@article{osti_1421634,
title = {Hamiltonian methods of modeling and control of AC microgrids with spinning machines and inverters},
author = {Matthews, Ronald C. and Weaver, Wayne W. and Robinett, Rush D. and Wilson, David G.},
abstractNote = {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.},
doi = {10.1016/j.ijepes.2017.11.041},
journal = {International Journal of Electrical Power and Energy Systems},
number = ,
volume = 98,
place = {United States},
year = {2017},
month = {12}
}
Web of Science
Figures / Tables:

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Works referencing / citing this record:
Droop Control in DQ Coordinates for Fixed Frequency Inverter-Based AC Microgrids
journal, October 2019
- Toub, Mohamed; Bijaieh, Mehrzad M.; Weaver, Wayne W.
- Electronics, Vol. 8, Issue 10
Figures / Tables found in this record: