Mathematics Applications in Engineering: obtaining the efficiency equation for electric motors using the least squares method
DOI:
https://doi.org/10.22481/intermaths.v4i1.12102Keywords:
Least squares method, Polynomial regression, Linear regression, Efficiency equation for electric motorsAbstract
Vehicle electrification has been growing on a large scale, one of the stages of the electrification project is the verification of the vehicle's autonomy for differents urban and highways drive cycles. For this, it is necessary to determine the equation of the electric motor efficiency, as a function of the torque and speed values of the motor. This work has as objective to present a mathematical equation that describes the efficiency of an electric motor. The least squares method is used to determine the regression coefficients. The step by step of linear and polynomial regression is explained using the least squares method in applications that are part of the electrical engineer daily life.
Downloads
Metrics
References
R. Lairenlakpam, G. D. Thakre, P. Gupta, Y. Singh, P. Kumar, Electric conversion of a polluting gasoline vehicle into an electric vehicle and its performance and drive cycle analysis in 2018 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES). pp. 1–6 (2018).
B. C. Keoun. Designing an electric vehicle conversion. In Proceedings of Southcon ’95, pages 303–308, 1995.
C. Duangtongsuk, T. Thianthamthita, R. Pupadubsin, N. Chayopitak, W. Kongprawechnon, Ev
conversion performance analysis and sizing of traction motor and battery from driving cycles in 2022 19th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON). pp. 1–6 (2022).
A. Karki, et al., Parameters matching for electric vehicle conversion in 2019 IEEE Transportation Electrification Conference (ITEC-India). pp. 1–5 (2019).
L. James, J. Lowry, Electric vehicle technology explained. (John Wiley and Sons, Ltd., The
Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom), (2012).
K. Godfrey, Simple linear regression in medical research. New Engl. J. Medicine 313, 1629–1636 (1985) PMID: 3840866.
N. Pandis, Linear regression. Am. J. Orthod. Dentofac. Orthop. 149, 431–434 (2016).
X. Su, X. Yan, CL. Tsai, Linear regression. WIREs Comput. Stat. 4, 275–294 (2012).
Hpm 3000 (48 v) test report. https://www.miromax.lt/userfiles/6/files/HPM3000_48V_Test_Results.pdf. Accessed: 2021-11-25.
Hpm 3000 (72 v) test report. https://www.miromax.lt/userfiles/6/files/HPM3000_72V_Test_Results.pdf. Accessed: 2021-11-25.
Hpm 5000 (48 v) test report. https://www.miromax.lt/userfiles/6/files/HPM5000_48V_Test_Results.pdf. Accessed: 2021-11-25.
Hpm 5000 (72 v) test report. https://www.miromax.lt/userfiles/6/files/HPM5000_72V_Test_Results.pdf. Accessed: 2021-11-25.
Hpm 10000 (48 v) test report. https://www.miromax.lt/userfiles/6/files/HPM10000_48V_Test_Results.pdf. Accessed: 2021-11-25.
Hpm 10000 (72 v) test report. https://www.miromax.lt/userfiles/6/files/HPM10000_72V_Test_Results.pdf. Accessed: 2021-11-25.
Hpm 10000 (96 v) test report. https://www.goldenmotor.com/eCar/HPM96-10000.pdf. Accessed: 2021-11-25.
Hpm 20000 (72 v) test report. https://www.miromax.lt/userfiles/6/files/HPM20000_72V_Test_Results.pdf. Accessed: 2021-11-25.
Hpm 20000 (96 v) test report. https://www.miromax.lt/userfiles/6/files/HPM20000_96V_Test_Results.pdf. Accessed: 2021-11-25.
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 INTERMATHS
![Creative Commons License](http://i.creativecommons.org/l/by/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution 4.0 International License.
- Responsibility: The scientific content and the opinions expressed in the manuscript are the sole responsibility of the author(s).
- Copyrights: INTERMATHS.
- All content of Revista INTERMATHS/INTERMATHS journal is licensed under a Creative Commons - Atribuição 4.0 Internacional