Discrete and Continuous Model of Three-Phase Linear Induction Motors “LIMs” Considering Attraction Force
A fifth-order dynamic continuous model of a linear induction motor (LIM), without considering “end effects„ and considering attraction force, was developed. The attraction force is necessary in considering the dynamic analysis of the mechanically loaded linear induction motor. To...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-02-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/12/4/655 |
| _version_ | 1811278049765752832 |
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| author | Nicolás Toro-García Yeison A. Garcés-Gómez Fredy E. Hoyos |
| author_facet | Nicolás Toro-García Yeison A. Garcés-Gómez Fredy E. Hoyos |
| author_sort | Nicolás Toro-García |
| collection | DOAJ |
| description | A fifth-order dynamic continuous model of a linear induction motor (LIM), without considering “end effects„ and considering attraction force, was developed. The attraction force is necessary in considering the dynamic analysis of the mechanically loaded linear induction motor. To obtain the circuit parameters of the LIM, a physical system was implemented in the laboratory with a Rapid Prototype System. The model was created by modifying the traditional three-phase model of a <i>Y</i>-connected rotary induction motor in a <i>d</i>⁻<i>q</i> stationary reference frame. The discrete-time LIM model was obtained through the continuous time model solution for its application in simulations or computational solutions in order to analyze nonlinear behaviors and for use in discrete time control systems. To obtain the solution, the continuous time model was divided into a current-fed linear induction motor third-order model, where the current inputs were considered as pseudo-inputs, and a second-order subsystem that only models the currents of the primary with voltages as inputs. For the discrete time model, the current-fed model is discretized by solving a set of differential equations, and the subsystem is discretized by a first-order Taylor series. Finally, a comparison of the continuous and discrete time model behaviors was shown graphically in order to validate the discrete time model. |
| first_indexed | 2024-04-13T00:27:43Z |
| format | Article |
| id | doaj.art-56ed333688014088ac8ca9061c08f11d |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-13T00:27:43Z |
| publishDate | 2019-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-56ed333688014088ac8ca9061c08f11d2022-12-22T03:10:33ZengMDPI AGEnergies1996-10732019-02-0112465510.3390/en12040655en12040655Discrete and Continuous Model of Three-Phase Linear Induction Motors “LIMs” Considering Attraction ForceNicolás Toro-García0Yeison A. Garcés-Gómez1Fredy E. Hoyos2Department of Electrical and Electronics Engineering & Computer Sciences, Universidad Nacional de Colombia—Sede Manizales, Cra 27 No. 64 – 60, Manizales, ColombiaUnidad Académica de Formación en Ciencias Naturales y Matemáticas, Universidad Católica de Manizales, Cra 23 No. 60 – 63, Manizales, ColombiaFacultad de Ciencias—Escuela de Física, Universidad Nacional de Colombia—Sede Medellín, Carrera 65 No. 59A-110, 050034, Medellín, ColombiaA fifth-order dynamic continuous model of a linear induction motor (LIM), without considering “end effects„ and considering attraction force, was developed. The attraction force is necessary in considering the dynamic analysis of the mechanically loaded linear induction motor. To obtain the circuit parameters of the LIM, a physical system was implemented in the laboratory with a Rapid Prototype System. The model was created by modifying the traditional three-phase model of a <i>Y</i>-connected rotary induction motor in a <i>d</i>⁻<i>q</i> stationary reference frame. The discrete-time LIM model was obtained through the continuous time model solution for its application in simulations or computational solutions in order to analyze nonlinear behaviors and for use in discrete time control systems. To obtain the solution, the continuous time model was divided into a current-fed linear induction motor third-order model, where the current inputs were considered as pseudo-inputs, and a second-order subsystem that only models the currents of the primary with voltages as inputs. For the discrete time model, the current-fed model is discretized by solving a set of differential equations, and the subsystem is discretized by a first-order Taylor series. Finally, a comparison of the continuous and discrete time model behaviors was shown graphically in order to validate the discrete time model.https://www.mdpi.com/1996-1073/12/4/655linear induction motorsattraction forceend effectdiscrete time modelcontinuous time model |
| spellingShingle | Nicolás Toro-García Yeison A. Garcés-Gómez Fredy E. Hoyos Discrete and Continuous Model of Three-Phase Linear Induction Motors “LIMs” Considering Attraction Force Energies linear induction motors attraction force end effect discrete time model continuous time model |
| title | Discrete and Continuous Model of Three-Phase Linear Induction Motors “LIMs” Considering Attraction Force |
| title_full | Discrete and Continuous Model of Three-Phase Linear Induction Motors “LIMs” Considering Attraction Force |
| title_fullStr | Discrete and Continuous Model of Three-Phase Linear Induction Motors “LIMs” Considering Attraction Force |
| title_full_unstemmed | Discrete and Continuous Model of Three-Phase Linear Induction Motors “LIMs” Considering Attraction Force |
| title_short | Discrete and Continuous Model of Three-Phase Linear Induction Motors “LIMs” Considering Attraction Force |
| title_sort | discrete and continuous model of three phase linear induction motors lims considering attraction force |
| topic | linear induction motors attraction force end effect discrete time model continuous time model |
| url | https://www.mdpi.com/1996-1073/12/4/655 |
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