Nonlinear supersets to droop control

Mohit Sinha; Sairaj Dhople; Brian Johnson; Nathan Ainsworth; Florian Dörfler

doi:10.1109/COMPEL.2015.7236441

Nonlinear supersets to droop control

Mohit Sinha, Sairaj Dhople, Brian Johnson, Nathan Ainsworth, Florian Dörfler

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

26 Scopus citations

Abstract

This paper offers a suite of extensions to Virtual Oscillator Control - a time-domain control method for islanded inverters whereby they are controlled to emulate the dynamics of weakly nonlinear limit-cycle oscillators. First, we develop a coordinate transformation to derive the PWM switching signals from the oscillator dynamic states in a manner that allows the inverter terminal-voltage amplitude and frequency to be traded off against a parametric linear combination of average active and reactive power. Additionally, we compare the time-domain performance of VOC to droop control for parallel connected inverters in two cases: synchronization from a cold start and inverter addition. Finally, with a view towards developing outputfilter-design strategies as well as outlining strategies for grid-connected operations, we derive a sufficient condition for a Virtual-Oscillator-controlled inverter to be entrained to a stiff voltage source.

Original language	English (US)
Title of host publication	2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781467368476
DOIs	https://doi.org/10.1109/COMPEL.2015.7236441
State	Published - Sep 1 2015
Event	16th IEEE Workshop on Control and Modeling for Power Electronics, COMPEL 2015 - Vancouver, Canada Duration: Jul 12 2015 → Jul 15 2015

Publication series

Name	2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015

Other

Other	16th IEEE Workshop on Control and Modeling for Power Electronics, COMPEL 2015
Country/Territory	Canada
City	Vancouver
Period	7/12/15 → 7/15/15

Bibliographical note

Funding Information:
M. Sinha and S. V. Dhople were supported in part by the Institute of Renewable Energy and the Environment, UMN, under grant RL-0010-13; the Office of Naval Research under grant N000141410639; and the National Science Foundation under the CAREER award ECCS-1453921. B. B. Johnson and N. G. Ainsworth were supported by the Laboratory Directed Research and Development Program at NREL and by the U.S. Department of Energy under Contract No. DE-AC36-08- GO28308 with NREL. F. Dörfler was supported in part by the Swiss National Science Foundation AP Energy Grant 160573 and by ETH Zürich Startup Funds.

Publisher Copyright:
© 2015 IEEE.

Access

10.1109/COMPEL.2015.7236441

OpenUrl availability

Full text

Cite this

Sinha, M., Dhople, S., Johnson, B., Ainsworth, N., & Dörfler, F. (2015). Nonlinear supersets to droop control. In 2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015 Article 7236441 (2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/COMPEL.2015.7236441

Nonlinear supersets to droop control. / Sinha, Mohit; Dhople, Sairaj; Johnson, Brian et al.
2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015. Institute of Electrical and Electronics Engineers Inc., 2015. 7236441 (2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Sinha, M, Dhople, S, Johnson, B, Ainsworth, N & Dörfler, F 2015, Nonlinear supersets to droop control. in 2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015., 7236441, 2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015, Institute of Electrical and Electronics Engineers Inc., 16th IEEE Workshop on Control and Modeling for Power Electronics, COMPEL 2015, Vancouver, Canada, 7/12/15. https://doi.org/10.1109/COMPEL.2015.7236441

@inproceedings{81af3a1a3486460bbb34700197c8340c,

title = "Nonlinear supersets to droop control",

abstract = "This paper offers a suite of extensions to Virtual Oscillator Control - a time-domain control method for islanded inverters whereby they are controlled to emulate the dynamics of weakly nonlinear limit-cycle oscillators. First, we develop a coordinate transformation to derive the PWM switching signals from the oscillator dynamic states in a manner that allows the inverter terminal-voltage amplitude and frequency to be traded off against a parametric linear combination of average active and reactive power. Additionally, we compare the time-domain performance of VOC to droop control for parallel connected inverters in two cases: synchronization from a cold start and inverter addition. Finally, with a view towards developing outputfilter-design strategies as well as outlining strategies for grid-connected operations, we derive a sufficient condition for a Virtual-Oscillator-controlled inverter to be entrained to a stiff voltage source.",

author = "Mohit Sinha and Sairaj Dhople and Brian Johnson and Nathan Ainsworth and Florian D{\"o}rfler",

note = "Funding Information: M. Sinha and S. V. Dhople were supported in part by the Institute of Renewable Energy and the Environment, UMN, under grant RL-0010-13; the Office of Naval Research under grant N000141410639; and the National Science Foundation under the CAREER award ECCS-1453921. B. B. Johnson and N. G. Ainsworth were supported by the Laboratory Directed Research and Development Program at NREL and by the U.S. Department of Energy under Contract No. DE-AC36-08- GO28308 with NREL. F. D{\"o}rfler was supported in part by the Swiss National Science Foundation AP Energy Grant 160573 and by ETH Z{\"u}rich Startup Funds. Publisher Copyright: {\textcopyright} 2015 IEEE.; 16th IEEE Workshop on Control and Modeling for Power Electronics, COMPEL 2015 ; Conference date: 12-07-2015 Through 15-07-2015",

year = "2015",

month = sep,

day = "1",

doi = "10.1109/COMPEL.2015.7236441",

language = "English (US)",

series = "2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015",

}

TY - GEN

T1 - Nonlinear supersets to droop control

AU - Sinha, Mohit

AU - Dhople, Sairaj

AU - Johnson, Brian

AU - Ainsworth, Nathan

AU - Dörfler, Florian

N1 - Funding Information: M. Sinha and S. V. Dhople were supported in part by the Institute of Renewable Energy and the Environment, UMN, under grant RL-0010-13; the Office of Naval Research under grant N000141410639; and the National Science Foundation under the CAREER award ECCS-1453921. B. B. Johnson and N. G. Ainsworth were supported by the Laboratory Directed Research and Development Program at NREL and by the U.S. Department of Energy under Contract No. DE-AC36-08- GO28308 with NREL. F. Dörfler was supported in part by the Swiss National Science Foundation AP Energy Grant 160573 and by ETH Zürich Startup Funds. Publisher Copyright: © 2015 IEEE.

PY - 2015/9/1

Y1 - 2015/9/1

N2 - This paper offers a suite of extensions to Virtual Oscillator Control - a time-domain control method for islanded inverters whereby they are controlled to emulate the dynamics of weakly nonlinear limit-cycle oscillators. First, we develop a coordinate transformation to derive the PWM switching signals from the oscillator dynamic states in a manner that allows the inverter terminal-voltage amplitude and frequency to be traded off against a parametric linear combination of average active and reactive power. Additionally, we compare the time-domain performance of VOC to droop control for parallel connected inverters in two cases: synchronization from a cold start and inverter addition. Finally, with a view towards developing outputfilter-design strategies as well as outlining strategies for grid-connected operations, we derive a sufficient condition for a Virtual-Oscillator-controlled inverter to be entrained to a stiff voltage source.

AB - This paper offers a suite of extensions to Virtual Oscillator Control - a time-domain control method for islanded inverters whereby they are controlled to emulate the dynamics of weakly nonlinear limit-cycle oscillators. First, we develop a coordinate transformation to derive the PWM switching signals from the oscillator dynamic states in a manner that allows the inverter terminal-voltage amplitude and frequency to be traded off against a parametric linear combination of average active and reactive power. Additionally, we compare the time-domain performance of VOC to droop control for parallel connected inverters in two cases: synchronization from a cold start and inverter addition. Finally, with a view towards developing outputfilter-design strategies as well as outlining strategies for grid-connected operations, we derive a sufficient condition for a Virtual-Oscillator-controlled inverter to be entrained to a stiff voltage source.

UR - http://www.scopus.com/inward/record.url?scp=84957921982&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84957921982&partnerID=8YFLogxK

U2 - 10.1109/COMPEL.2015.7236441

DO - 10.1109/COMPEL.2015.7236441

M3 - Conference contribution

AN - SCOPUS:84957921982

T3 - 2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015

BT - 2015 IEEE 16th Workshop on Control and Modeling for Power Electronics, COMPEL 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 16th IEEE Workshop on Control and Modeling for Power Electronics, COMPEL 2015

Y2 - 12 July 2015 through 15 July 2015

ER -

Nonlinear supersets to droop control

Abstract

Publication series

Other

Bibliographical note

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this