An Optimization Model Solution Method for Transient Voltage Stability Emergency Control in High-Voltage DC Receiving End.

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Title: An Optimization Model Solution Method for Transient Voltage Stability Emergency Control in High-Voltage DC Receiving End.
Authors: Jin, Weigang1 (AUTHOR), Lin, Tao2,3 (AUTHOR) tlin@whu.edu.cn, Zhang, Jiawei2,3 (AUTHOR), Wang, Jiayi1,2,3 (AUTHOR), Li, Jun2,3 (AUTHOR), Li, Chen2,3 (AUTHOR)
Source: Energies (19961073). Jun2026, Vol. 19 Issue 12, p2926. 18p.
Subject Terms: *Mathematical optimization, *Nonlinear programming, *Emergency management, *Electric power systems, *Electric power system stability, *Transient stability of electric power systems, *High voltages
Abstract: In the context of the "dual-carbon" target, the large-scale integration of renewable energy sources leads to an increased risk of transient voltage instability at the high voltage direct current (HVDC) transmission receiving end. The HVDC transmission system possesses fast and accurate power regulation capability. After a fault occurs near the inverter station, reducing the DC current enables the reactive power from the compensation devices to be released and injected into the receiving-end power grid, thereby providing emergency voltage support for the receiving-end grid. To reduce control costs, an optimization model constrained by transient voltage violation is established, and the DC current modulation is acquired via an online solution. To maintain system stability and meet the requirements of online applications, it is crucial to rapidly solve the optimization model based on the grid operating mode and contingency information to update the emergency control strategy table in the special protection system (SPS). Conventional global orthogonal collocation (GOC) and adaptive orthogonal collocation (AOC)-based solution methods transform the optimization model in the continuous time domain into a nonlinear programming (NLP) problem for solution, which addresses the low efficiency of traditional rolling optimization. However, the GOC- and AOC-based solution methods improve the discretization accuracy of the model by pursuing global uniform densification of collocation points, making it difficult to balance solution accuracy and solution efficiency. To this end, this paper proposes an efficient interval partition dynamic adaptive orthogonal collocation (IP-DAOC)-based solution method. Firstly, the overall optimization time window is interval-partitioned into multiple initial intervals, and an interval-partitioned transient voltage stability emergency control optimization model is established. Furthermore, the interval length and the number of collocation points are dynamically adjusted according to the curvature of interpolation polynomials at collocation points in different intervals. Finally, after interval adjustment, the dynamic equations discretized in adjacent intervals are made continuous by reconstructing the differential matrix. This solution method reduces the total number of collocation points, thereby decreasing the scale of the NLP problem and narrowing the search space, significantly improving solution efficiency while ensuring solution accuracy. To verify the effectiveness of the proposed solution method, simulations are carried out on a modified IEEE 14-bus system. The results are compared with those of the traditional GOC- and AOC-based solution methods, which further demonstrate the superiority of the proposed solution method. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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  Label: Title
  Group: Ti
  Data: An Optimization Model Solution Method for Transient Voltage Stability Emergency Control in High-Voltage DC Receiving End.
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  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Jin%2C+Weigang%22">Jin, Weigang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lin%2C+Tao%22">Lin, Tao</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> tlin@whu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Jiawei%22">Zhang, Jiawei</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Jiayi%22">Wang, Jiayi</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Jun%22">Li, Jun</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Chen%22">Li, Chen</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. Jun2026, Vol. 19 Issue 12, p2926. 18p.
– Name: Subject
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  Data: *<searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br />*<searchLink fieldCode="DE" term="%22Nonlinear+programming%22">Nonlinear programming</searchLink><br />*<searchLink fieldCode="DE" term="%22Emergency+management%22">Emergency management</searchLink><br />*<searchLink fieldCode="DE" term="%22Electric+power+systems%22">Electric power systems</searchLink><br />*<searchLink fieldCode="DE" term="%22Electric+power+system+stability%22">Electric power system stability</searchLink><br />*<searchLink fieldCode="DE" term="%22Transient+stability+of+electric+power+systems%22">Transient stability of electric power systems</searchLink><br />*<searchLink fieldCode="DE" term="%22High+voltages%22">High voltages</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In the context of the "dual-carbon" target, the large-scale integration of renewable energy sources leads to an increased risk of transient voltage instability at the high voltage direct current (HVDC) transmission receiving end. The HVDC transmission system possesses fast and accurate power regulation capability. After a fault occurs near the inverter station, reducing the DC current enables the reactive power from the compensation devices to be released and injected into the receiving-end power grid, thereby providing emergency voltage support for the receiving-end grid. To reduce control costs, an optimization model constrained by transient voltage violation is established, and the DC current modulation is acquired via an online solution. To maintain system stability and meet the requirements of online applications, it is crucial to rapidly solve the optimization model based on the grid operating mode and contingency information to update the emergency control strategy table in the special protection system (SPS). Conventional global orthogonal collocation (GOC) and adaptive orthogonal collocation (AOC)-based solution methods transform the optimization model in the continuous time domain into a nonlinear programming (NLP) problem for solution, which addresses the low efficiency of traditional rolling optimization. However, the GOC- and AOC-based solution methods improve the discretization accuracy of the model by pursuing global uniform densification of collocation points, making it difficult to balance solution accuracy and solution efficiency. To this end, this paper proposes an efficient interval partition dynamic adaptive orthogonal collocation (IP-DAOC)-based solution method. Firstly, the overall optimization time window is interval-partitioned into multiple initial intervals, and an interval-partitioned transient voltage stability emergency control optimization model is established. Furthermore, the interval length and the number of collocation points are dynamically adjusted according to the curvature of interpolation polynomials at collocation points in different intervals. Finally, after interval adjustment, the dynamic equations discretized in adjacent intervals are made continuous by reconstructing the differential matrix. This solution method reduces the total number of collocation points, thereby decreasing the scale of the NLP problem and narrowing the search space, significantly improving solution efficiency while ensuring solution accuracy. To verify the effectiveness of the proposed solution method, simulations are carried out on a modified IEEE 14-bus system. The results are compared with those of the traditional GOC- and AOC-based solution methods, which further demonstrate the superiority of the proposed solution method. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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        Value: 10.3390/en19122926
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      – Code: eng
        Text: English
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        PageCount: 18
        StartPage: 2926
    Subjects:
      – SubjectFull: Mathematical optimization
        Type: general
      – SubjectFull: Nonlinear programming
        Type: general
      – SubjectFull: Emergency management
        Type: general
      – SubjectFull: Electric power systems
        Type: general
      – SubjectFull: Electric power system stability
        Type: general
      – SubjectFull: Transient stability of electric power systems
        Type: general
      – SubjectFull: High voltages
        Type: general
    Titles:
      – TitleFull: An Optimization Model Solution Method for Transient Voltage Stability Emergency Control in High-Voltage DC Receiving End.
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            NameFull: Jin, Weigang
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            NameFull: Zhang, Jiawei
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            – D: 15
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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              Value: 19
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