Analysis of Electromechanical Swings of a Turbogenerator Based on a Fractional-Order Circuit Model.
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| Title: | Analysis of Electromechanical Swings of a Turbogenerator Based on a Fractional-Order Circuit Model. |
|---|---|
| Authors: | Staszak, Jan1 (AUTHOR) |
| Source: | Energies (19961073). Oct2025, Vol. 18 Issue 19, p5170. 24p. |
| Subjects: | Turbogenerators, Synchronous generators, Lumped parameter systems, Mechanical oscillations, Fractional calculus, Energy dissipation, Frequency response |
| Abstract: | This paper addresses the issue of rotor swings in a high-power synchronous generator during stable operation with a stiff power grid. The analysis of electromechanical swings was conducted using a circuit model incorporating fractional-order derivatives. Assuming that variations in the load angle under small disturbances from a stable equilibrium are minor, a linearized differential equation describing the electrodynamic state of the synchronous machine was derived. Based on this linearized equation of motion and the identified parameters of the equivalent circuit, calculations were performed for a 200 MW turbogenerator. The results indicate that the electromechanical swings are characterized by a constant pulsation and a low damping factor. Calculations were also carried out using a lumped-parameter equivalent circuit model. Based on the obtained results, it can be stated that the fractional-order model provides a more accurate fit of the frequency characteristics compared with the classical model with the same number of rotor equivalent circuits. The relative approximation errors for the fractional-order model are, for the d-axis (one rotor equivalent circuit), relative magnitude error δm = 1.53% and relative phase error δφ = 6.32%, and for the q-axis (two rotor equivalent circuits), δm = 3.2% and δφ = 8.3%. To achieve comparable approximation accuracy for the classical model, the rotor electrical circuit must be replaced with two equivalent circuits in the d-axis and four equivalent circuits in the q-axis, yielding relative errors of δm = 2.85% and δφ = 6.51% for the d-axis, and δm = 1.86% and δφ = 5.49% for the q-axis. [ABSTRACT FROM AUTHOR] |
| Copyright of Energies (19961073) is the property of MDPI 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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| Header | DbId: egs DbLabel: Engineering Source An: 188680785 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Analysis of Electromechanical Swings of a Turbogenerator Based on a Fractional-Order Circuit Model. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Staszak%2C+Jan%22">Staszak, Jan</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. Oct2025, Vol. 18 Issue 19, p5170. 24p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Turbogenerators%22">Turbogenerators</searchLink><br /><searchLink fieldCode="DE" term="%22Synchronous+generators%22">Synchronous generators</searchLink><br /><searchLink fieldCode="DE" term="%22Lumped+parameter+systems%22">Lumped parameter systems</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+oscillations%22">Mechanical oscillations</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+dissipation%22">Energy dissipation</searchLink><br /><searchLink fieldCode="DE" term="%22Frequency+response%22">Frequency response</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper addresses the issue of rotor swings in a high-power synchronous generator during stable operation with a stiff power grid. The analysis of electromechanical swings was conducted using a circuit model incorporating fractional-order derivatives. Assuming that variations in the load angle under small disturbances from a stable equilibrium are minor, a linearized differential equation describing the electrodynamic state of the synchronous machine was derived. Based on this linearized equation of motion and the identified parameters of the equivalent circuit, calculations were performed for a 200 MW turbogenerator. The results indicate that the electromechanical swings are characterized by a constant pulsation and a low damping factor. Calculations were also carried out using a lumped-parameter equivalent circuit model. Based on the obtained results, it can be stated that the fractional-order model provides a more accurate fit of the frequency characteristics compared with the classical model with the same number of rotor equivalent circuits. The relative approximation errors for the fractional-order model are, for the d-axis (one rotor equivalent circuit), relative magnitude error δm = 1.53% and relative phase error δφ = 6.32%, and for the q-axis (two rotor equivalent circuits), δm = 3.2% and δφ = 8.3%. To achieve comparable approximation accuracy for the classical model, the rotor electrical circuit must be replaced with two equivalent circuits in the d-axis and four equivalent circuits in the q-axis, yielding relative errors of δm = 2.85% and δφ = 6.51% for the d-axis, and δm = 1.86% and δφ = 5.49% for the q-axis. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Energies (19961073) is the property of MDPI 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: BibEntity: Identifiers: – Type: doi Value: 10.3390/en18195170 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 24 StartPage: 5170 Subjects: – SubjectFull: Turbogenerators Type: general – SubjectFull: Synchronous generators Type: general – SubjectFull: Lumped parameter systems Type: general – SubjectFull: Mechanical oscillations Type: general – SubjectFull: Fractional calculus Type: general – SubjectFull: Energy dissipation Type: general – SubjectFull: Frequency response Type: general Titles: – TitleFull: Analysis of Electromechanical Swings of a Turbogenerator Based on a Fractional-Order Circuit Model. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Staszak, Jan IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19961073 Numbering: – Type: volume Value: 18 – Type: issue Value: 19 Titles: – TitleFull: Energies (19961073) Type: main |
| ResultId | 1 |
