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 = {Fri Dec 22 00:00:00 EST 2017},
month = {Fri Dec 22 00:00:00 EST 2017}
}
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Cited by: 7 works
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Figures / Tables:
Fig. 1.: Two phasor voltages across a reactance.
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Works referenced in this record:
Hierarchical Coordination of a Community Microgrid With AC and DC Microgrids
journal, November 2015
- Che, Liang; Shahidehpour, Mohammad; Alabdulwahab, Ahmed
- IEEE Transactions on Smart Grid, Vol. 6, Issue 6
Impact of Strategic Deployment of CHP-Based DERs on Microgrid Reliability
journal, July 2010
- Basu, Ashoke Kumar; Chowdhury, Sunetra; Chowdhury, S. P.
- IEEE Transactions on Power Delivery, Vol. 25, Issue 3
Energy storage requirements of dc microgrids with high penetration renewables under droop control
journal, June 2015
- Weaver, Wayne W.; Robinett, Rush D.; Parker, Gordon G.
- International Journal of Electrical Power & Energy Systems, Vol. 68
Multiobjective Intelligent Energy Management for a Microgrid
journal, April 2013
- Chaouachi, A.; Kamel, R. M.; Andoulsi, R.
- IEEE Transactions on Industrial Electronics, Vol. 60, Issue 4
Renewable energy microgrid control with energy storage integration
conference, June 2012
- Wilson, David G.; Robinett, Rush D.; Goldsmith, Steven Y.
- 2012 International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM 2012), International Symposium on Power Electronics Power Electronics, Electrical Drives, Automation and Motion
Hamiltonian modeling and control of AC microgrids with spinning machines and inverters
conference, June 2016
- Weaver, Wayne W.; Robinett, Rush D.; Parker, Gordon G.
- 2016 International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM)
A Hierarchical Framework for Generation Scheduling of Microgrids
journal, December 2014
- Wu, Xiong; Wang, Xiuli; Qu, Chong
- IEEE Transactions on Power Delivery, Vol. 29, Issue 6
Closed loop optimal load control with application to microgrid load design
conference, September 2011
- Heath, Matthew; Parker, Gordon; Wilson, David G.
- Control (MSC), 2011 IEEE International Conference on Control Applications (CCA)
Nonlinear power flow control design for combined conventional and variable generation systems: Part I-theory
conference, September 2011
- Robinett, Rush D.; Wilson, David G.
- Control (MSC), 2011 IEEE International Conference on Control Applications (CCA)
Dynamic Phasor Estimates for Power System Oscillations
journal, October 2007
- de la O. Serna, JosÉ Antonio
- IEEE Transactions on Instrumentation and Measurement, Vol. 56, Issue 5
On transient stability and voltage regulation through MIMO feedback linearizing control of generator and energy storage
conference, July 2015
- Baros, Stefanos; Ilic, Marija D.
- 2015 American Control Conference (ACC)
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:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.