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A State-Space Model for Stability Boundary Analysis of Grid-Following Voltage Source Converters Considering Grid Conditions.

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Title: A State-Space Model for Stability Boundary Analysis of Grid-Following Voltage Source Converters Considering Grid Conditions.
Authors: Liu, Guodong1 (AUTHOR) liug@ornl.gov, Starke, Michael1 (AUTHOR)
Source: Energies (19961073). Mar2026, Vol. 19 Issue 6, p1521. 22p.
Subject Terms: *Eigenanalysis, *Electric power system stability, *Electric power distribution grids, *Dynamic stability, *Stability theory, *State-space methods
Abstract: With the growing significance of renewable energy resources and energy storage systems, the number of grid-connected inverters has been rising at an increasingly rapid pace. Generally, these inverters are directly integrated with the distribution network by synchronizing with the grid voltage at the point of common coupling. However, the low grid strength and varying R/X ratios, as the common characteristics of most distribution networks or weak grids, can lead to dynamic interactions that comprise stability and limit the power transfer capacity of grid-connected inverters. To ensure stable operation of the inverters, researchers must determine the stability boundary, described as the maximum power transfer capacity of grid-connected inverters under the premise of maintaining system small-signal stability. For this purpose, we propose to formulate a state-space model of the system in the synchronously rotating dq-frame of reference and perform eigenvalue analysis to determine the stability boundary. With a detailed model of the control structure and parameters of the grid-connected inverters, the stability boundary is identified as a surface with respect to different grid strengths and R/X ratios. Case study results of proposed eigenvalue analysis are compared with those of admittance model-based stability analysis as well as time-domain simulation using a switching model in Matlab/Simulink, validating the effectiveness and accuracy of the proposed eigenvalue analysis for stability boundary identification. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 192592695
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Label: Title
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  Data: A State-Space Model for Stability Boundary Analysis of Grid-Following Voltage Source Converters Considering Grid Conditions.
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  Data: <searchLink fieldCode="AR" term="%22Liu%2C+Guodong%22">Liu, Guodong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> liug@ornl.gov</i><br /><searchLink fieldCode="AR" term="%22Starke%2C+Michael%22">Starke, Michael</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. Mar2026, Vol. 19 Issue 6, p1521. 22p.
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  Data: *<searchLink fieldCode="DE" term="%22Eigenanalysis%22">Eigenanalysis</searchLink><br />*<searchLink fieldCode="DE" term="%22Electric+power+system+stability%22">Electric power system stability</searchLink><br />*<searchLink fieldCode="DE" term="%22Electric+power+distribution+grids%22">Electric power distribution grids</searchLink><br />*<searchLink fieldCode="DE" term="%22Dynamic+stability%22">Dynamic stability</searchLink><br />*<searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br />*<searchLink fieldCode="DE" term="%22State-space+methods%22">State-space methods</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: With the growing significance of renewable energy resources and energy storage systems, the number of grid-connected inverters has been rising at an increasingly rapid pace. Generally, these inverters are directly integrated with the distribution network by synchronizing with the grid voltage at the point of common coupling. However, the low grid strength and varying R/X ratios, as the common characteristics of most distribution networks or weak grids, can lead to dynamic interactions that comprise stability and limit the power transfer capacity of grid-connected inverters. To ensure stable operation of the inverters, researchers must determine the stability boundary, described as the maximum power transfer capacity of grid-connected inverters under the premise of maintaining system small-signal stability. For this purpose, we propose to formulate a state-space model of the system in the synchronously rotating dq-frame of reference and perform eigenvalue analysis to determine the stability boundary. With a detailed model of the control structure and parameters of the grid-connected inverters, the stability boundary is identified as a surface with respect to different grid strengths and R/X ratios. Case study results of proposed eigenvalue analysis are compared with those of admittance model-based stability analysis as well as time-domain simulation using a switching model in Matlab/Simulink, validating the effectiveness and accuracy of the proposed eigenvalue analysis for stability boundary identification. [ABSTRACT FROM AUTHOR]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=enr&AN=192592695
RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.3390/en19061521
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 22
        StartPage: 1521
    Subjects:
      – SubjectFull: Eigenanalysis
        Type: general
      – SubjectFull: Electric power system stability
        Type: general
      – SubjectFull: Electric power distribution grids
        Type: general
      – SubjectFull: Dynamic stability
        Type: general
      – SubjectFull: Stability theory
        Type: general
      – SubjectFull: State-space methods
        Type: general
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      – TitleFull: A State-Space Model for Stability Boundary Analysis of Grid-Following Voltage Source Converters Considering Grid Conditions.
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              Text: Mar2026
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              Y: 2026
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              Value: 19
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              Value: 6
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            – TitleFull: Energies (19961073)
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