ON A FRACTAL RLC-PARALLEL RESONANT CIRCUIT MODELED WITHIN THE LOCAL FRACTIONAL DERIVATIVE.
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| Title: | ON A FRACTAL RLC-PARALLEL RESONANT CIRCUIT MODELED WITHIN THE LOCAL FRACTIONAL DERIVATIVE. |
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| Authors: | Yu TIAN1, Wen-Bo GENG2, Shao-Hui WANG1, Kang-Jia WANG3 kangjiaw@hpu.edu.cn |
| Source: | Thermal Science. 2024, Vol. 28 Issue 4B, p3505-3510. 6p. |
| Subjects: | Lumped elements |
| Abstract: | In recent years, the theory of local fractional calculus has been widely used in the description of the fractional circuits. This paper presents a fractal RLC-parallel resonant circuit (FRLC-PRC) using the local fractional derivative (LFD). The FRLC-PRC is modeled by studying the non-differentiable (ND) lumped elements, then the ND conductance is obtained with the help of the local fractional Laplace transform (LFLT) and the ND parallel-resonant angular frequency (ND PRAF) is analyzed. It is found that the FRLC-PRC becomes the ordinary one when the fractional order S = 1. The obtained results show that the LFD is a powerful tool in the description of fractal circuit systems. [ABSTRACT FROM AUTHOR] |
| Copyright of Thermal Science is the property of Society of Thermal Engineers of Serbia 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.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 180089849 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: ON A FRACTAL RLC-PARALLEL RESONANT CIRCUIT MODELED WITHIN THE LOCAL FRACTIONAL DERIVATIVE. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yu+TIAN%22">Yu TIAN</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Wen-Bo+GENG%22">Wen-Bo GENG</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Shao-Hui+WANG%22">Shao-Hui WANG</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Kang-Jia+WANG%22">Kang-Jia WANG</searchLink><relatesTo>3</relatesTo><i> kangjiaw@hpu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Thermal+Science%22">Thermal Science</searchLink>. 2024, Vol. 28 Issue 4B, p3505-3510. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Lumped+elements%22">Lumped elements</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In recent years, the theory of local fractional calculus has been widely used in the description of the fractional circuits. This paper presents a fractal RLC-parallel resonant circuit (FRLC-PRC) using the local fractional derivative (LFD). The FRLC-PRC is modeled by studying the non-differentiable (ND) lumped elements, then the ND conductance is obtained with the help of the local fractional Laplace transform (LFLT) and the ND parallel-resonant angular frequency (ND PRAF) is analyzed. It is found that the FRLC-PRC becomes the ordinary one when the fractional order S = 1. The obtained results show that the LFD is a powerful tool in the description of fractal circuit systems. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Thermal Science is the property of Society of Thermal Engineers of Serbia 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=180089849 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.2298/TSCI2404505T Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 3505 Subjects: – SubjectFull: Lumped elements Type: general Titles: – TitleFull: ON A FRACTAL RLC-PARALLEL RESONANT CIRCUIT MODELED WITHIN THE LOCAL FRACTIONAL DERIVATIVE. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yu TIAN – PersonEntity: Name: NameFull: Wen-Bo GENG – PersonEntity: Name: NameFull: Shao-Hui WANG – PersonEntity: Name: NameFull: Kang-Jia WANG IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: 2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 03549836 Numbering: – Type: volume Value: 28 – Type: issue Value: 4B Titles: – TitleFull: Thermal Science Type: main |
| ResultId | 1 |