Voltage reference varying-based adaptive IDA-PBC design and stability analysis for DC microgrids.

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Title: Voltage reference varying-based adaptive IDA-PBC design and stability analysis for DC microgrids.
Authors: Yuan, Cong1 (AUTHOR) cong.yuan@ieee.org, Martin, Jean-Philippe1 (AUTHOR), Pierfederici, Serge1 (AUTHOR) serge.pierfederici@univ-lorraine.fr, Phattanasak, Matheepot2 (AUTHOR), Meibody-Tabar, Farid1 (AUTHOR), Pang, Shengzhao3 (AUTHOR)
Source: Mathematics & Computers in Simulation. Nov2025, Vol. 237, p355-372. 18p.
Subjects: Passivity-based control, Jacobian matrices, Voltage references, Lyapunov stability, Microgrids
Abstract: Constant Power Loads (CPLs), which are widely present in DC microgrids, exhibit negative impedance characteristics, reducing the system's stability margin and posing significant challenges to grid control and stability. To address this issue, we propose an Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) strategy. By reshaping system energy and injecting damping, the proposed controller ensures the attainment of the desired equilibrium point and dynamic performance, thereby enhancing the microgrid's stability margin. Unlike conventional IDA-PBC methods, which typically modify the interconnection matrix by introducing a parameter K to obtain a unique control law solution, our approach achieves a unique solution by redefining the reference voltage. This strategy effectively eliminates singularity issues at the equilibrium point. Furthermore, we conduct a comprehensive stability analysis of the proposed IDA-PBC, derive the system's stability margin, and design a trajectory-tracking controller to validate its advantages in improving stability. Finally, numerical simulations and experiments are performed to verify both the effectiveness of the proposed controller and the accuracy of the stability analysis. • Proposed IDA-PBC redefines reference, attains full-rank PCH and avoids singularities. • Lyapunov and Jacobian analyses verify proposed IDA-PBC stability and quantify margin. • Tests show IDA-PBC yields higher stability margins and robustness in DC microgrids. [ABSTRACT FROM AUTHOR]
Copyright of Mathematics & Computers in Simulation is the property of Elsevier B.V. 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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  Label: Title
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  Data: Voltage reference varying-based adaptive IDA-PBC design and stability analysis for DC microgrids.
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  Data: <searchLink fieldCode="AR" term="%22Yuan%2C+Cong%22">Yuan, Cong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> cong.yuan@ieee.org</i><br /><searchLink fieldCode="AR" term="%22Martin%2C+Jean-Philippe%22">Martin, Jean-Philippe</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Pierfederici%2C+Serge%22">Pierfederici, Serge</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> serge.pierfederici@univ-lorraine.fr</i><br /><searchLink fieldCode="AR" term="%22Phattanasak%2C+Matheepot%22">Phattanasak, Matheepot</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Meibody-Tabar%2C+Farid%22">Meibody-Tabar, Farid</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Pang%2C+Shengzhao%22">Pang, Shengzhao</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Mathematics+%26+Computers+in+Simulation%22">Mathematics & Computers in Simulation</searchLink>. Nov2025, Vol. 237, p355-372. 18p.
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  Data: <searchLink fieldCode="DE" term="%22Passivity-based+control%22">Passivity-based control</searchLink><br /><searchLink fieldCode="DE" term="%22Jacobian+matrices%22">Jacobian matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Voltage+references%22">Voltage references</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+stability%22">Lyapunov stability</searchLink><br /><searchLink fieldCode="DE" term="%22Microgrids%22">Microgrids</searchLink>
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  Data: Constant Power Loads (CPLs), which are widely present in DC microgrids, exhibit negative impedance characteristics, reducing the system's stability margin and posing significant challenges to grid control and stability. To address this issue, we propose an Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) strategy. By reshaping system energy and injecting damping, the proposed controller ensures the attainment of the desired equilibrium point and dynamic performance, thereby enhancing the microgrid's stability margin. Unlike conventional IDA-PBC methods, which typically modify the interconnection matrix by introducing a parameter K to obtain a unique control law solution, our approach achieves a unique solution by redefining the reference voltage. This strategy effectively eliminates singularity issues at the equilibrium point. Furthermore, we conduct a comprehensive stability analysis of the proposed IDA-PBC, derive the system's stability margin, and design a trajectory-tracking controller to validate its advantages in improving stability. Finally, numerical simulations and experiments are performed to verify both the effectiveness of the proposed controller and the accuracy of the stability analysis. • Proposed IDA-PBC redefines reference, attains full-rank PCH and avoids singularities. • Lyapunov and Jacobian analyses verify proposed IDA-PBC stability and quantify margin. • Tests show IDA-PBC yields higher stability margins and robustness in DC microgrids. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mathematics & Computers in Simulation is the property of Elsevier B.V. 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: 10.1016/j.matcom.2025.04.028
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 18
        StartPage: 355
    Subjects:
      – SubjectFull: Passivity-based control
        Type: general
      – SubjectFull: Jacobian matrices
        Type: general
      – SubjectFull: Voltage references
        Type: general
      – SubjectFull: Lyapunov stability
        Type: general
      – SubjectFull: Microgrids
        Type: general
    Titles:
      – TitleFull: Voltage reference varying-based adaptive IDA-PBC design and stability analysis for DC microgrids.
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            NameFull: Yuan, Cong
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            NameFull: Martin, Jean-Philippe
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            NameFull: Pierfederici, Serge
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            NameFull: Phattanasak, Matheepot
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            NameFull: Meibody-Tabar, Farid
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            NameFull: Pang, Shengzhao
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          Dates:
            – D: 01
              M: 11
              Text: Nov2025
              Type: published
              Y: 2025
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              Value: 237
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