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

Title: 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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

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

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

Grant/Contract Number:: NA0003525; 1541148

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, Vol. 98; ISSN 0142-0615

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 7 works

Citation information provided by
Web of Science

References (11)

Hierarchical Coordination of a Community Microgrid With AC and DC Microgrids Che, Liang; Shahidehpour, Mohammad; Alabdulwahab, Ahmed IEEE Transactions on Smart Grid, Vol. 6, Issue 6 https://doi.org/10.1109/TSG.2015.2398853	journal	November 2015
Impact of Strategic Deployment of CHP-Based DERs on Microgrid Reliability Basu, Ashoke Kumar; Chowdhury, Sunetra; Chowdhury, S. P. IEEE Transactions on Power Delivery, Vol. 25, Issue 3 https://doi.org/10.1109/TPWRD.2010.2047121	journal	July 2010
Energy storage requirements of dc microgrids with high penetration renewables under droop control Weaver, Wayne W.; Robinett, Rush D.; Parker, Gordon G. International Journal of Electrical Power & Energy Systems, Vol. 68 https://doi.org/10.1016/j.ijepes.2014.12.070	journal	June 2015
Multiobjective Intelligent Energy Management for a Microgrid Chaouachi, A.; Kamel, R. M.; Andoulsi, R. IEEE Transactions on Industrial Electronics, Vol. 60, Issue 4 https://doi.org/10.1109/TIE.2012.2188873	journal	April 2013
Renewable energy microgrid control with energy storage integration 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 https://doi.org/10.1109/SPEEDAM.2012.6264634	conference	June 2012
Hamiltonian modeling and control of AC microgrids with spinning machines and inverters Weaver, Wayne W.; Robinett, Rush D.; Parker, Gordon G. 2016 International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM) https://doi.org/10.1109/SPEEDAM.2016.7526027	conference	June 2016
A Hierarchical Framework for Generation Scheduling of Microgrids Wu, Xiong; Wang, Xiuli; Qu, Chong IEEE Transactions on Power Delivery, Vol. 29, Issue 6 https://doi.org/10.1109/TPWRD.2014.2360064	journal	December 2014
Closed loop optimal load control with application to microgrid load design Heath, Matthew; Parker, Gordon; Wilson, David G. Control (MSC), 2011 IEEE International Conference on Control Applications (CCA) https://doi.org/10.1109/CCA.2011.6044408	conference	September 2011
Nonlinear power flow control design for combined conventional and variable generation systems: Part I-theory Robinett, Rush D.; Wilson, David G. Control (MSC), 2011 IEEE International Conference on Control Applications (CCA) https://doi.org/10.1109/CCA.2011.6044377	conference	September 2011
Dynamic Phasor Estimates for Power System Oscillations de la O. Serna, JosÉ Antonio IEEE Transactions on Instrumentation and Measurement, Vol. 56, Issue 5 https://doi.org/10.1109/TIM.2007.904546	journal	October 2007
On transient stability and voltage regulation through MIMO feedback linearizing control of generator and energy storage Baros, Stefanos; Ilic, Marija D. 2015 American Control Conference (ACC) https://doi.org/10.1109/ACC.2015.7172008	conference	July 2015

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