Constrained Least-Squares Parameter Estimation for a Double Layer Capacitor
This paper presents an estimation of the parameters for a Double Layer Super Capacitor (DLC) that is modelled with a two-branch circuit. The estimation is achieved using a constrained minimization technique, which is developed off-line and uses a single constraint to write the matrix equation. The m...
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| Format: | Article |
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MDPI AG
2023-05-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/16/10/4160 |
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| author | Nayzel I. Jannif Rahul R. Kumar Ali Mohammadi Giansalvo Cirrincione Maurizio Cirrincione |
| author_facet | Nayzel I. Jannif Rahul R. Kumar Ali Mohammadi Giansalvo Cirrincione Maurizio Cirrincione |
| author_sort | Nayzel I. Jannif |
| collection | DOAJ |
| description | This paper presents an estimation of the parameters for a Double Layer Super Capacitor (DLC) that is modelled with a two-branch circuit. The estimation is achieved using a constrained minimization technique, which is developed off-line and uses a single constraint to write the matrix equation. The model is algebraically manipulated to obtain a matrix equation, and a signal processing system is developed to prepare the signals for the identification algorithms. The proposed method builds on the results obtained using an unconstrained ordinary least-squares (OLS) technique. The method is tested both in simulation and experimentally, using a specially-designed experimental rig. A current ramp input is used to generate the corresponding output voltage and its derivatives. The results obtained from the constrained off-line minimization algorithm are compared with those obtained using a traditional off-line estimation method. The discussion of the results shows that the proposed method outperforms the traditional estimation technique. In summary, this paper contributes to the field of DLC parameter estimation by introducing a new off-line constrained minimization technique. The results obtained from the simulations and experimental rig demonstrate the effectiveness of the proposed method with two of three parameters showing relative errors less than 5%. |
| first_indexed | 2024-03-11T03:45:22Z |
| format | Article |
| id | doaj.art-0beb036269b34ceca79cd2d08b34bd5b |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-11T03:45:22Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-0beb036269b34ceca79cd2d08b34bd5b2023-11-18T01:13:44ZengMDPI AGEnergies1996-10732023-05-011610416010.3390/en16104160Constrained Least-Squares Parameter Estimation for a Double Layer CapacitorNayzel I. Jannif0Rahul R. Kumar1Ali Mohammadi2Giansalvo Cirrincione3Maurizio Cirrincione4School of Information Technology, Engineering, Mathematics and Physics, University of the South Pacific, Private Mail Bag, Suva, FijiSchool of Information Technology, Engineering, Mathematics and Physics, University of the South Pacific, Private Mail Bag, Suva, FijiSchool of Information Technology, Engineering, Mathematics and Physics, University of the South Pacific, Private Mail Bag, Suva, FijiLaboratory of Novel Technologies, University of Picardie Jules Verne, 80000 Amiens, FranceSchool of Information Technology, Engineering, Mathematics and Physics, University of the South Pacific, Private Mail Bag, Suva, FijiThis paper presents an estimation of the parameters for a Double Layer Super Capacitor (DLC) that is modelled with a two-branch circuit. The estimation is achieved using a constrained minimization technique, which is developed off-line and uses a single constraint to write the matrix equation. The model is algebraically manipulated to obtain a matrix equation, and a signal processing system is developed to prepare the signals for the identification algorithms. The proposed method builds on the results obtained using an unconstrained ordinary least-squares (OLS) technique. The method is tested both in simulation and experimentally, using a specially-designed experimental rig. A current ramp input is used to generate the corresponding output voltage and its derivatives. The results obtained from the constrained off-line minimization algorithm are compared with those obtained using a traditional off-line estimation method. The discussion of the results shows that the proposed method outperforms the traditional estimation technique. In summary, this paper contributes to the field of DLC parameter estimation by introducing a new off-line constrained minimization technique. The results obtained from the simulations and experimental rig demonstrate the effectiveness of the proposed method with two of three parameters showing relative errors less than 5%.https://www.mdpi.com/1996-1073/16/10/4160supercapacitorssignal processingparameter identificationconstrained minimizationleast squaresFaranda method |
| spellingShingle | Nayzel I. Jannif Rahul R. Kumar Ali Mohammadi Giansalvo Cirrincione Maurizio Cirrincione Constrained Least-Squares Parameter Estimation for a Double Layer Capacitor Energies supercapacitors signal processing parameter identification constrained minimization least squares Faranda method |
| title | Constrained Least-Squares Parameter Estimation for a Double Layer Capacitor |
| title_full | Constrained Least-Squares Parameter Estimation for a Double Layer Capacitor |
| title_fullStr | Constrained Least-Squares Parameter Estimation for a Double Layer Capacitor |
| title_full_unstemmed | Constrained Least-Squares Parameter Estimation for a Double Layer Capacitor |
| title_short | Constrained Least-Squares Parameter Estimation for a Double Layer Capacitor |
| title_sort | constrained least squares parameter estimation for a double layer capacitor |
| topic | supercapacitors signal processing parameter identification constrained minimization least squares Faranda method |
| url | https://www.mdpi.com/1996-1073/16/10/4160 |
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