ArticleName |
Models and Methods of Designing Linear Electric Motors for Non-Ferrous Metals Industry Applications |
ArticleAuthorData |
Smolensk Branch of Moscow Power Engineering Institute, Smolensk, Russia: S. P. Kurilin, Professor at the Department of Electromechanical Systems, Doctor of Technical Sciences, Professor, e-mail: sergkurilin@gmail.com
M. I. Dli, Deputy Director Responsible for Research, Doctor of Technical Sciences, Professor, e-mail: dlimi@mpei.ru V. N. Denisov, Professor at the Department of Higher Mathematics, Doctor of Technical Sciences, Associate Professor, e-mail: dvalnik@mail.ru
Moscow University for Industry and Finance Synergy, Moscow, Russia:
Yu. B. Rubin, Head of the Department of Theoretical and Practical Competition, Doctor of Economic Sciences, Professor, e-mail: Yrubin@synergy.ru |
Abstract |
Through substitution of rotating induction motor drives with linear ones, one can enhance the reliability and decrease the materials capacity of electrical equipment utilized by the non-ferrous metals industry. At the same time, each particular case requires a feasibility study to justify the application of the linear induction motor. Such feasibility study is based on the key technical data of the unit obtained through mathematical modelling. The authors carried out an analysis of the existing linear induction motor models. The aim of this research is to develop a number of analytical design models. This paper looks at flat double-sided linear induction motors with a short and long secondary element. Possible applications are described for such linear induction motors in the non-ferrous metals industry. A design approach and a mathematical model were developed to calculate the magnetic vector potential and the pull force of the linear induction motor with a long secondary element. An accurate solution for the magnetic vector potential was found through Fourier transformation, which, together with the expression for the pull force, provides a design model of the motor. The model parameters were chosen based on the desired mechanical performance of the motor. A linear induction motor with a long secondary element was designed for the force of 1,000 N and the speed of 2–3 m/sec. The paper describes the modelling results, as well as the technical data of the motor. Alternative design models of the motor were compared. The authors describe a design approach and a mathematical model for calculating the magnetic vector potential and the pull force of the linear induction motor with a short secondary element. The Bubnov-Galerkin method was used to find an approximate solution for the magnetic vector potential. On the basis of that solution, a linear induction motor with a short secondary element was designed for the force of 528 N and the speed of 2–3 m/sec. This paper describes some economic aspects related to the adoption of linear induction motors. It is pointed out that the low probability of failure characteristic of linear induction motors helps lower the losses related to the emergency shutdowns and unscheduled maintenance. It is also associated with lower redundancy costs. This research was funded by the Russian Foundation for Basic Research in the framework of the Research Project No. 20-01-00283. |
References |
1. Kurilin S. P., Dli M. I., Sokolov A. M. Linear induction motors for non-ferrous metallurgy. Non-ferrous Metals. 2021. No. 1. pp. 67–73. DOI: 10.17580/nfm.2021.01.09. 2. Kurilin S. P., Dli M. I., Rubin Y. B., Chernovalova M. V. Methods and means of increasing operation efficiency of the fleet of electric motors in nonferrous metallurgy. Non-ferrous Metals. 2020. No. 2. pp. 73–78. DOI: 10.17580/nfm.2020.02.09. 3. Voldek A. I. Induction liquid-metal magnetohydrodynamic machines. Leningrad : Energiya, 1970. 270 p. 4. Yamamura S. Theory of linear induction motors: Translated from English. Leningrad : Energoatomizdat, 1983. 180 p. 5. Sarapulov F. N., Frizen V. E., Shvydkiy E. L., Smolyanov I. A. Mathematical modeling of a linear-induction motor based on detailed equivalent circuits. Russian Electrical Engineering. 2018. Vol. 89, No. 4. pp. 270–274. 6. Yu S. O., Sarapulov F. N., Tomashevsky D. N. Mathematical modeling of electromechanical characteristics of linear electromagnetic and inductiondynamic motors. IOP Conference Series: Materials Science and Engineering. 2020. Vol. 950, Iss. 1. 012020. 7. Smolyanov I., Sarapulov F., Tarasov F. Calculation of linear induction motor features by detailed equivalent circuit method taking into account nonlinear electromagnetic and thermal properties. Computers and Mathematics with Applications. 2019. Vol. 78, Iss. 9. pp. 3187–3199. 8. Sarapulov F. N., Goman V., Trekin G. E. Temperature calculation for linear induction motor in transport application with multiphysics approach. IOP Conference Series: Materials Science and Engineering. 2020. Vol. 966, Iss. 1. 012105. 9. Sarapulov F. N., Smolyanov I. A. Research of the traction linear induction motors designed for conveyor transport. Russian Electromechanics. 2019. Vol. 62, No. 1. pp. 39–43. 10. Smolyanov I., Shmakov E., Gasheva D. Research of linear induction motor as part of driver by detailed equivalent circuit. Proceedings of the International Russian Automation Conference, RusAutoCon 2019. Institute of Electrical and Electronics Engineers Inc. 2019. 8867757. 11. Chapaev V. S., Volkov S. V., Martyashin A. A. Basic mathematics for understanding the magnetic field distribution in a control-layer linear induction motor. Reliability and quality: Proceedings of the International Conference: In 2 volumes. Ed. by N. K. Yurkov. Penza : Izdatelstvo PGU, 2016. Vol. 1. pp. 153–155. 12. Kazraji S. M., Sharifyan M. B. B. A predictive control model for an induction motor linear drive. IECON 2017 — 43^{rd} IEEE Industrial Electronics Society Annual Conference. 2017. pp. 3736–3739. DOI: 10.1109/IECON.2017.8216635. 13. Makarov L. N., Denisov V. N., Kurilin S. P. Designing and modeling a linear electric motor for vibration-technology machines. Russian Electrical Engineering. 2017. Vol. 88, No. 3. pp. 166–169. 14. Creppe R. C., Ulson J. A. C., Rodrigues J. F. Influence of design parameters on linear induction motor end effect. IEEE Transactions on Energy Conversion. June 2008. Vol. 23, No. 2. pp. 358–362. DOI: 10.1109/TEC.2008.918594. 15. Merlin Mary N. J., Ganguly C., Kowsalya M. Mathematical modelling of linear induction motor with and without considering end effects using different reference frames. 2016 IEEE 1^{st} International Conference on Power Electronics, Intelligent Control and Energy Systems (ICPEICES). 2016. pp. 1–5. DOI: 10.1109/ICPEICES.2016.7853160. 16. Cho H., Liu Y., Kim K. A. Short-primary linear induction motor modeling with end effects for electric transportation systems. 2018 International Symposium on Computer, Consumer and Control (IS3C). 2018. pp. 338–341. DOI: 10.1109/IS3C.2018.00092. 17. Demidovich B. P., Maron I. A., Shuvalova E. Z. Numeric analysis methods. Approximation of functions, differential and integral equations: Learner’s guide. 5th edition [Online resource]. Saint Petersburg : Lan, 2010. 400 p. |