Vectorized mathematical model of a slip-ring induction motor
Authors:
- Miroslaw Wcislik,
- Karol Suchenia,
- Andrzej Cyganik
Abstract
The paper deals with the modeling of a slip-ring induction motor. Induction motors are very often used in industry and their suitable model is needed to reduce control and operating costs. The identification process of self and mutual inductances of the stator and rotor, and mutual inductances between them in the function of the rotor rotation angle is presented. The dependence of each inductance on the rotor rotation angle is determined experimentally. The inductance matrix is then formulated. Taking the magnetic energy of the inductances and kinetic energy of the rotor into account, the Lagrange function is defined. Next, the motor motion equations are obtained. After making some algebraic transformations and using the dimensionless variables, the motion equations of electric circuits and of the mechanical equation are written separately in the forms facilitating their solution. The solution was obtained using the Simulink model for the stator and rotor currents in the form of vectors. The simulation was controlled by MATLAB script. The results of the simulation are presented in the form of basic variables time courses and compared with some values calculated with the use Steinmetz model of induction motor. The work is followed by two appendices, which contain procedures for determining the inverted inductance matrix.
- Record ID
- CUT6c07f88c7d2d479db9e8f1ba80ee0fe5
- Publication categories
- ;
- Author
- Journal series
- Energies, ISSN , e-ISSN 1996-1073, Biweekly
- Issue year
- 2020
- Vol
- 13
- No
- 15
- Pages
- [1-20]
- Article number
- 4015
- Other elements of collation
- rys.; schem.; tab.; wykr.; Bibliografia (na s.) - 20; Bibliografia (liczba pozycji) - 17; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 13, Iss. 15
- Substantive notes
- Section: Electric Vehicles
- Keywords in English
- slip-ring induction motors, modeling, inductance matrix, motion equation, simulation
- DOI
- DOI:10.3390/en13154015 Opening in a new tab
- URL
- https://www.mdpi.com/1996-1073/13/15/4015/htm Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 140
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT6c07f88c7d2d479db9e8f1ba80ee0fe5/
- URN
urn:pkr-prod:CUT6c07f88c7d2d479db9e8f1ba80ee0fe5
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.