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A Nonlinear Strong-Contraction-Criterion-Based Voltage Stability Analysis for Renewable Energy Bases with Coupled Reactive-Power Resources.

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Title: A Nonlinear Strong-Contraction-Criterion-Based Voltage Stability Analysis for Renewable Energy Bases with Coupled Reactive-Power Resources.
Authors: Wu, Pengyu1 (AUTHOR), Xie, Da1,2 (AUTHOR), Zhang, Yanchi1 (AUTHOR) zhangyc@sdju.edu.cn
Source: Energies (19961073). May2026, Vol. 19 Issue 9, p2221. 27p.
Subject Terms: *Voltage control, *Nonlinear systems, *Electric network topology, *Reactive power, *Renewable energy sources
Abstract: Large-scale renewable energy bases increasingly employ automatic voltage control (AVC) to coordinate heterogeneous reactive-power resources. The resulting voltage regulation process inherently involves sampling, communication delay, and nonlinear device characteristics, which may induce nontraditional voltage oscillations and stability degradation that cannot be adequately captured by conventional continuous-time or small-signal analysis. This paper proposes a discrete-time nonlinear voltage stability analysis framework for renewable energy bases with multi-reactive-power-resource coupling under AVC-based coordinated control. The voltage regulation dynamics are formulated as a discrete-time nonlinear closed-loop system by incorporating sampled AVC actions, delayed voltage feedback, and nonlinear voltage–reactive-power coupling. An incremental system representation is constructed, and a strong-contraction-based stability criterion is derived using sector-bounded nonlinearity descriptions and linear matrix inequalities, providing a sufficient condition for global voltage convergence without local linearization. Extensive numerical studies are conducted on a representative renewable energy base with parallel and series coupling topologies. A total of 2916 randomized configurations are evaluated. The proposed criterion achieves consistency rates exceeding 96% for the parallel topology and 99% for the series topology when compared with time-domain simulations, while the probability of dangerous misjudgment remains below 1%. Scenario-based simulations further demonstrate that coupling topology plays a critical role in shaping voltage stability behaviors, and state-space analysis further supports the observed stability behaviors. These results indicate that nonlinear strong contraction offers an effective and practical stability notion for AVC-based voltage regulation in renewable energy bases. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 193716117
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  Label: Title
  Group: Ti
  Data: A Nonlinear Strong-Contraction-Criterion-Based Voltage Stability Analysis for Renewable Energy Bases with Coupled Reactive-Power Resources.
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  Data: <searchLink fieldCode="AR" term="%22Wu%2C+Pengyu%22">Wu, Pengyu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xie%2C+Da%22">Xie, Da</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Yanchi%22">Zhang, Yanchi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zhangyc@sdju.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. May2026, Vol. 19 Issue 9, p2221. 27p.
– Name: Subject
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  Data: *<searchLink fieldCode="DE" term="%22Voltage+control%22">Voltage control</searchLink><br />*<searchLink fieldCode="DE" term="%22Nonlinear+systems%22">Nonlinear systems</searchLink><br />*<searchLink fieldCode="DE" term="%22Electric+network+topology%22">Electric network topology</searchLink><br />*<searchLink fieldCode="DE" term="%22Reactive+power%22">Reactive power</searchLink><br />*<searchLink fieldCode="DE" term="%22Renewable+energy+sources%22">Renewable energy sources</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Large-scale renewable energy bases increasingly employ automatic voltage control (AVC) to coordinate heterogeneous reactive-power resources. The resulting voltage regulation process inherently involves sampling, communication delay, and nonlinear device characteristics, which may induce nontraditional voltage oscillations and stability degradation that cannot be adequately captured by conventional continuous-time or small-signal analysis. This paper proposes a discrete-time nonlinear voltage stability analysis framework for renewable energy bases with multi-reactive-power-resource coupling under AVC-based coordinated control. The voltage regulation dynamics are formulated as a discrete-time nonlinear closed-loop system by incorporating sampled AVC actions, delayed voltage feedback, and nonlinear voltage–reactive-power coupling. An incremental system representation is constructed, and a strong-contraction-based stability criterion is derived using sector-bounded nonlinearity descriptions and linear matrix inequalities, providing a sufficient condition for global voltage convergence without local linearization. Extensive numerical studies are conducted on a representative renewable energy base with parallel and series coupling topologies. A total of 2916 randomized configurations are evaluated. The proposed criterion achieves consistency rates exceeding 96% for the parallel topology and 99% for the series topology when compared with time-domain simulations, while the probability of dangerous misjudgment remains below 1%. Scenario-based simulations further demonstrate that coupling topology plays a critical role in shaping voltage stability behaviors, and state-space analysis further supports the observed stability behaviors. These results indicate that nonlinear strong contraction offers an effective and practical stability notion for AVC-based voltage regulation in renewable energy bases. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.3390/en19092221
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 27
        StartPage: 2221
    Subjects:
      – SubjectFull: Voltage control
        Type: general
      – SubjectFull: Nonlinear systems
        Type: general
      – SubjectFull: Electric network topology
        Type: general
      – SubjectFull: Reactive power
        Type: general
      – SubjectFull: Renewable energy sources
        Type: general
    Titles:
      – TitleFull: A Nonlinear Strong-Contraction-Criterion-Based Voltage Stability Analysis for Renewable Energy Bases with Coupled Reactive-Power Resources.
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            NameFull: Wu, Pengyu
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            NameFull: Xie, Da
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            NameFull: Zhang, Yanchi
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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              Value: 19961073
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              Value: 19
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              Value: 9
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            – TitleFull: Energies (19961073)
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