On Stability Analysis of Power Grids with Synchronous Generators and Grid-Forming Converters under DC-side Current Limitation

Sayan Samanta; Nilanjan Ray Chaudhuri

doi:10.23919/ACC50511.2021.9483299

On Stability Analysis of Power Grids with Synchronous Generators and Grid-Forming Converters under DC-side Current Limitation

Sayan Samanta
, Nilanjan Ray Chaudhuri

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

12 Scopus citations

Abstract

Stability of power grids with synchronous generators (SGs) and renewable generation interfaced with grid-forming converters (GFCs) under dc-side current limitation is studied. To that end, we first consider a simple 2-bus test system and reduced-order models to highlight the fundamental difference between two classes of GFC controls - (A) droop, dispatchable virtual oscillator control (dVOC) and virtual synchronous machine (VSM), and (B) matching control. Next, we study Lyapunov stability and input-output stability of the dc voltage dynamics of class-A GFCs for the simple system and extend it to a generic system. Next, we provide a sufficiency condition for input-to-state stability of the 2-bus system with a class-B GFC and extend it for a generic system. Finally, time-domain simulations from a reduced-order averaged model of the simple test system and a detailed switched model of the GFC validate the proposed conditions.

Original language	English (US)
Title of host publication	2021 American Control Conference, ACC 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1817-1823
Number of pages	7
ISBN (Electronic)	9781665441971
DOIs	https://doi.org/10.23919/ACC50511.2021.9483299
State	Published - May 25 2021
Event	2021 American Control Conference, ACC 2021 - Virtual, New Orleans, United States Duration: May 25 2021 → May 28 2021

Publication series

Name	Proceedings of the American Control Conference
Volume	2021-May
ISSN (Print)	0743-1619

Conference

Conference	2021 American Control Conference, ACC 2021
Country/Territory	United States
City	Virtual, New Orleans
Period	5/25/21 → 5/28/21

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.23919/ACC50511.2021.9483299

Cite this

Samanta, S., & Chaudhuri, N. R. (2021). On Stability Analysis of Power Grids with Synchronous Generators and Grid-Forming Converters under DC-side Current Limitation. In 2021 American Control Conference, ACC 2021 (pp. 1817-1823). Article 9483299 (Proceedings of the American Control Conference; Vol. 2021-May). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC50511.2021.9483299

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title = "On Stability Analysis of Power Grids with Synchronous Generators and Grid-Forming Converters under DC-side Current Limitation",

abstract = "Stability of power grids with synchronous generators (SGs) and renewable generation interfaced with grid-forming converters (GFCs) under dc-side current limitation is studied. To that end, we first consider a simple 2-bus test system and reduced-order models to highlight the fundamental difference between two classes of GFC controls - (A) droop, dispatchable virtual oscillator control (dVOC) and virtual synchronous machine (VSM), and (B) matching control. Next, we study Lyapunov stability and input-output stability of the dc voltage dynamics of class-A GFCs for the simple system and extend it to a generic system. Next, we provide a sufficiency condition for input-to-state stability of the 2-bus system with a class-B GFC and extend it for a generic system. Finally, time-domain simulations from a reduced-order averaged model of the simple test system and a detailed switched model of the GFC validate the proposed conditions.",

author = "Sayan Samanta and Chaudhuri, \{Nilanjan Ray\}",

note = "Publisher Copyright: {\textcopyright} 2021 American Automatic Control Council.; 2021 American Control Conference, ACC 2021 ; Conference date: 25-05-2021 Through 28-05-2021",

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Samanta, S & Chaudhuri, NR 2021, On Stability Analysis of Power Grids with Synchronous Generators and Grid-Forming Converters under DC-side Current Limitation. in 2021 American Control Conference, ACC 2021., 9483299, Proceedings of the American Control Conference, vol. 2021-May, Institute of Electrical and Electronics Engineers Inc., pp. 1817-1823, 2021 American Control Conference, ACC 2021, Virtual, New Orleans, United States, 5/25/21. https://doi.org/10.23919/ACC50511.2021.9483299

On Stability Analysis of Power Grids with Synchronous Generators and Grid-Forming Converters under DC-side Current Limitation. / Samanta, Sayan; Chaudhuri, Nilanjan Ray.
2021 American Control Conference, ACC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. p. 1817-1823 9483299 (Proceedings of the American Control Conference; Vol. 2021-May).

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

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PY - 2021/5/25

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N2 - Stability of power grids with synchronous generators (SGs) and renewable generation interfaced with grid-forming converters (GFCs) under dc-side current limitation is studied. To that end, we first consider a simple 2-bus test system and reduced-order models to highlight the fundamental difference between two classes of GFC controls - (A) droop, dispatchable virtual oscillator control (dVOC) and virtual synchronous machine (VSM), and (B) matching control. Next, we study Lyapunov stability and input-output stability of the dc voltage dynamics of class-A GFCs for the simple system and extend it to a generic system. Next, we provide a sufficiency condition for input-to-state stability of the 2-bus system with a class-B GFC and extend it for a generic system. Finally, time-domain simulations from a reduced-order averaged model of the simple test system and a detailed switched model of the GFC validate the proposed conditions.

AB - Stability of power grids with synchronous generators (SGs) and renewable generation interfaced with grid-forming converters (GFCs) under dc-side current limitation is studied. To that end, we first consider a simple 2-bus test system and reduced-order models to highlight the fundamental difference between two classes of GFC controls - (A) droop, dispatchable virtual oscillator control (dVOC) and virtual synchronous machine (VSM), and (B) matching control. Next, we study Lyapunov stability and input-output stability of the dc voltage dynamics of class-A GFCs for the simple system and extend it to a generic system. Next, we provide a sufficiency condition for input-to-state stability of the 2-bus system with a class-B GFC and extend it for a generic system. Finally, time-domain simulations from a reduced-order averaged model of the simple test system and a detailed switched model of the GFC validate the proposed conditions.

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M3 - Conference contribution

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On Stability Analysis of Power Grids with Synchronous Generators and Grid-Forming Converters under DC-side Current Limitation

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