Identification of Fractional Models of an Induction Motor with Errors in Variables
The skin effect in modeling an induction motor can be described by fractional differential equations. The existing methods for identifying the parameters of an induction motor with a rotor skin effect suggest the presence of errors only in the output. The presence of errors in measuring currents and...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/6/485 |
| _version_ | 1797594751369740288 |
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| author | Dmitriy Ivanov |
| author_facet | Dmitriy Ivanov |
| author_sort | Dmitriy Ivanov |
| collection | DOAJ |
| description | The skin effect in modeling an induction motor can be described by fractional differential equations. The existing methods for identifying the parameters of an induction motor with a rotor skin effect suggest the presence of errors only in the output. The presence of errors in measuring currents and voltages leads to errors in both input and output signals. Applying standard methods, such as the ordinary least squares method, leads to biased estimates in these types of problems. The study proposes a new method for identifying the parameters of an induction motor in the presence of a skin effect. Estimates of parameters were determined based on generalized total least squares. The simulation results obtained showed the high accuracy of the obtained estimates. The results of this research can be applied in the development of predictive diagnostic systems. This study shows that ordinary least squares parameter estimates can lead to incorrect operation of the fault diagnosis system. |
| first_indexed | 2024-03-11T02:26:38Z |
| format | Article |
| id | doaj.art-aeef812b54d74d0782a7fe4e87b47a87 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T02:26:38Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-aeef812b54d74d0782a7fe4e87b47a872023-11-18T10:29:57ZengMDPI AGFractal and Fractional2504-31102023-06-017648510.3390/fractalfract7060485Identification of Fractional Models of an Induction Motor with Errors in VariablesDmitriy Ivanov0Department of Information Systems Security, Samara National Research University, 443086 Samara, RussiaThe skin effect in modeling an induction motor can be described by fractional differential equations. The existing methods for identifying the parameters of an induction motor with a rotor skin effect suggest the presence of errors only in the output. The presence of errors in measuring currents and voltages leads to errors in both input and output signals. Applying standard methods, such as the ordinary least squares method, leads to biased estimates in these types of problems. The study proposes a new method for identifying the parameters of an induction motor in the presence of a skin effect. Estimates of parameters were determined based on generalized total least squares. The simulation results obtained showed the high accuracy of the obtained estimates. The results of this research can be applied in the development of predictive diagnostic systems. This study shows that ordinary least squares parameter estimates can lead to incorrect operation of the fault diagnosis system.https://www.mdpi.com/2504-3110/7/6/485induction motoradditive noiseskin effecttotal least squareserrors-in-variablesfractional derivative |
| spellingShingle | Dmitriy Ivanov Identification of Fractional Models of an Induction Motor with Errors in Variables Fractal and Fractional induction motor additive noise skin effect total least squares errors-in-variables fractional derivative |
| title | Identification of Fractional Models of an Induction Motor with Errors in Variables |
| title_full | Identification of Fractional Models of an Induction Motor with Errors in Variables |
| title_fullStr | Identification of Fractional Models of an Induction Motor with Errors in Variables |
| title_full_unstemmed | Identification of Fractional Models of an Induction Motor with Errors in Variables |
| title_short | Identification of Fractional Models of an Induction Motor with Errors in Variables |
| title_sort | identification of fractional models of an induction motor with errors in variables |
| topic | induction motor additive noise skin effect total least squares errors-in-variables fractional derivative |
| url | https://www.mdpi.com/2504-3110/7/6/485 |
| work_keys_str_mv | AT dmitriyivanov identificationoffractionalmodelsofaninductionmotorwitherrorsinvariables |