Multiobjective Optimization of Insulation Structure for Converter Transformer Valve-Side Bushings.

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Title: Multiobjective Optimization of Insulation Structure for Converter Transformer Valve-Side Bushings.
Authors: Xie, Da1, Wang, Wei1, Li, Yongchao2 1747402356@qq.com, Wei, Siyi1, Xu, Gang1, Ma, Long2
Source: Progress in Electromagnetics Research C. 2026, Vol. 168, p139-151. 13p.
Subjects: Multi-objective optimization, Grey Wolf Optimizer algorithm, Electrostatic fields, AC DC transformers, Mathematical models, Bushings, High-voltage direct current transmission, Insulating materials
Abstract: Valve-side bushings in HVDC converter transformers operate under composite AC-DC electric stresses, where temperature-dependent conductivity induces significant redistribution of electric field. In this study, a unified electro-thermal coupled model is developed for a 226 kV capacitive grading structure. Two insulation margin indices corresponding to DC lifetime stress and AC partial discharge stress are defined, and a multiobjective optimization model is formulated to minimize the normalized variances of both margins. An improved multiobjective grey wolf optimizer with a nonlinear convergence factor and a crowding-solution screening mechanism is proposed to enhance convergence and Pareto-solution quality. Results show that the improved algorithm yields better Pareto-solution diversity and uniformity than the standard method, while the optimized structure reduces the maximum DC and AC electric fields by about 6.2% and 10.4%, respectively. The proposed method provides an effective design approach for improving insulation coordination and reliability of valve-side bushings under composite AC-DC stresses. [ABSTRACT FROM AUTHOR]
Copyright of Progress in Electromagnetics Research C is the property of Electromagnetics Academy and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Multiobjective Optimization of Insulation Structure for Converter Transformer Valve-Side Bushings.
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  Data: <searchLink fieldCode="JN" term="%22Progress+in+Electromagnetics+Research+C%22">Progress in Electromagnetics Research C</searchLink>. 2026, Vol. 168, p139-151. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Multi-objective+optimization%22">Multi-objective optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Grey+Wolf+Optimizer+algorithm%22">Grey Wolf Optimizer algorithm</searchLink><br /><searchLink fieldCode="DE" term="%22Electrostatic+fields%22">Electrostatic fields</searchLink><br /><searchLink fieldCode="DE" term="%22AC+DC+transformers%22">AC DC transformers</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Bushings%22">Bushings</searchLink><br /><searchLink fieldCode="DE" term="%22High-voltage+direct+current+transmission%22">High-voltage direct current transmission</searchLink><br /><searchLink fieldCode="DE" term="%22Insulating+materials%22">Insulating materials</searchLink>
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  Label: Abstract
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  Data: Valve-side bushings in HVDC converter transformers operate under composite AC-DC electric stresses, where temperature-dependent conductivity induces significant redistribution of electric field. In this study, a unified electro-thermal coupled model is developed for a 226 kV capacitive grading structure. Two insulation margin indices corresponding to DC lifetime stress and AC partial discharge stress are defined, and a multiobjective optimization model is formulated to minimize the normalized variances of both margins. An improved multiobjective grey wolf optimizer with a nonlinear convergence factor and a crowding-solution screening mechanism is proposed to enhance convergence and Pareto-solution quality. Results show that the improved algorithm yields better Pareto-solution diversity and uniformity than the standard method, while the optimized structure reduces the maximum DC and AC electric fields by about 6.2% and 10.4%, respectively. The proposed method provides an effective design approach for improving insulation coordination and reliability of valve-side bushings under composite AC-DC stresses. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Progress in Electromagnetics Research C is the property of Electromagnetics Academy and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.2528/PIERC26020912
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 13
        StartPage: 139
    Subjects:
      – SubjectFull: Multi-objective optimization
        Type: general
      – SubjectFull: Grey Wolf Optimizer algorithm
        Type: general
      – SubjectFull: Electrostatic fields
        Type: general
      – SubjectFull: AC DC transformers
        Type: general
      – SubjectFull: Mathematical models
        Type: general
      – SubjectFull: Bushings
        Type: general
      – SubjectFull: High-voltage direct current transmission
        Type: general
      – SubjectFull: Insulating materials
        Type: general
    Titles:
      – TitleFull: Multiobjective Optimization of Insulation Structure for Converter Transformer Valve-Side Bushings.
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            NameFull: Xie, Da
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            NameFull: Wang, Wei
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            NameFull: Li, Yongchao
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            NameFull: Wei, Siyi
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            NameFull: Xu, Gang
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            NameFull: Ma, Long
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            – D: 01
              M: 06
              Text: 2026
              Type: published
              Y: 2026
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              Value: 168
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            – TitleFull: Progress in Electromagnetics Research C
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