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Title: 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:
 [1];  [1];  [2];  [3]
  1. Michigan Technological Univ., Houghton, MI (United States). Dept. of Electrical and Computer Engineering
  2. Michigan Technological Univ., Houghton, MI (United States). Dept. of Mechanical Engineering-Engineering Mechanics
  3. 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. https://doi.org/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}
}

Journal Article:

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Cited by: 1 work
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Figures / Tables:

Fig. 1. Fig. 1.: Two phasor voltages across a reactance.

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    Works referencing / citing this record:

    Droop Control in DQ Coordinates for Fixed Frequency Inverter-Based AC Microgrids
    journal, October 2019


      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.