Testing the Hypothesis about the Dependence of the Mass of Electric Machines on the Power and Speed
Keywords:
machine constant, laws of electromechanics, permanent magnet synchronous machines
Abstract
The hypothesis stating that the mass of any rotating electric machine is proportional to its power capacity taken to a power of 0.75 and is inversely proportional to the square root of its rotation frequency is tested. The testing is carried out on the material of permanent magnet synchronous machines. The infl uence of such factors as voltage, shape of active parts, cooling, effi ciency level, overloads, presence of supporting structures, power supply frequency, and number of poles is studied. The hypothesis is tested by predicting the mass of machines in the widest possible range of power capacities (from 0.03 W to 36 MW) and rotation frequencies (from 2 to 500 000 rpm). The accuracy of the preliminary estimate of the machine mass within about 50% can be considered acceptable, given that the masses of the machines being estimated range from less than a gram to more than 100 t. Based on the study results, the formulation of a new law of electromechanics is proposed, which describes how the machine mass is predetermined in terms of its power capacity and rotation frequency. The ratio of machine power capacity taken to a power of 0.75 to the square root of its rotation frequency is to some extent similar to the “gravity” which the designers try to overcome working on weakening the eff ect of the above-mentioned infl uencing factors.
References
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#
1. Matveev A.V. Elektrichestvo – in Russ. (Electricity), 2019, No. 11, pp. 45–53.
2. Matveev A.V. Elektrichestvo – in Russ. (Electricity), 2020, No. 7, pp. 41–56.
3. Matveev A., Røkke A. Power take-off for tidal turbines providing lowest cost of energy. – 10th European Wave and Tidal Energy Conference EWTEC-2013, Aalborg, Denmark, 2013.
4. ETEL website. Catalog section of electric machines [Electron. resource] URL: www.etel.ch (Date of appeal 02.09.2020).
5. Celeroton website. Catalog section of electric machines [Electron. resource] URL: www.celeroton.com (Date of appeal 03.09.2020).
6. Lim Myung-Seop, Chai Seung-Hee, Yang Jae-Sik, Hong J.P. Design and verification of 150-krpm PMSM based on experiment results of prototype. – IEEE Transactions on Industrial Electronics, 2015, vol. 62, No. 12, DOI:10.1109/TIE.2015.2409804.
7. Novák M., Novák Z. Construction of high-speed permanent magnet synchronous machine. – 17th International Conference on Electrical Drives and Power Electronics, Dubrovnik, Croatia, 2013.
8. Tuysuz A., Meyer F., Steichen M., Zwyssig C., Kolar J.W. Advanced Cooling Methods for High-Speed Electrical Machines. – IEEE Transactions on Industry Applications, 2017, vol. 53, No. 3, pp. 2077–2087, DOI: 10.1109/TIA.2017.2672921.
9. Leonardo DRS website. Catalog section of electric machines [Electron. resource] URL: www.leonardodrs.com (Date of appeal 03.09.2020).
10. Beno J.H., Flynn M.M., Hayes R.J., et all. Design and analysis of a 20 MW propulsion power train. – Proceedings of 7th International Naval Engineering Conference and Exhibition (INEC), Amsterdam, The Netherlands, 2004, pp. 409–414.
11. Faulhaber website. Catalog section of electric machines [Electron. resource] URL: www.faulhaber.com (Date of appeal 03.09.2020).
12. Englebretson S., Ouyang W., Tschida C., Carr J., et all. Advanced direct-drive generator for improved availability of oscillating wave surge converter power generation systems. Final technical report. ABB Inc., Cary, NC, United States, 2017.
13. Saban D., Artinian H. Permanent-magnet motors for subsea applications, 2008, 8 р. [Electron. resource] URL: http://www.directdrivesystems.net/tech-papers (Date of appeal 02.09.2012).
14. TheSwitch website. Catalog section of electric machines [Electron. resource] URL: https://theswitch.com (Date of appeal 03.09.2020).
15. Shade N. Enormous power in a small package: Direct Drive Systems introduces high-speed motor for compression applications, CompressorTech2, Jan-Feb 2006.
16. Halodi Robotics website. Catalog section of electric machines [Electron. resource] URL: www.halodi.com (Date of appeal 03.09.2020).
17. Kollmorgen website. Catalog section of electric machines [Electron. resource] URL: www.kollmorgen.com (Date of appeal 03.09.2020).
18. Leroy Somer website. Catalog section of electric machines [Electron. resource] URL: https://acim.nidec.com/motors/leroy-somer (Date of appeal 03.09.2020).
19. Moog website. Catalog section of electric machines [Electron. resource] URL: www.moog.com (Date of appeal 03.09.2020).
20. Turnigy website. Catalog section of electric machines [Electron. resource] URL: www.turnigy.com (Date of appeal 03.09.2020).
21. Kopylov I.P. Matematicheskoe modelirovanie elektricheskih mashin. Ucheb. dlya vuzov, 3-e izd. (Mathematical modelling of electric machines. 3rd issue). M.: Vysshaya shkola, 2001, 327 p.
2. Матвеев А.В. Анализ типов и серий асинхронных машин с помощью альтернативной машинной постоянной. – Электричество, 2020, №7, с.41–56.
3. Matveev A., Røkke A. Power take-off for tidal turbines providing lowest cost of energy. – 10th European Wave and Tidal Energy Conference EWTEC-2013, Aalborg, Denmark, 2013.
4. Сайт компании ETEL Раздел каталогов электрических машин [Электрон. ресурс] URL: www.etel.ch (дата обращения 02.09.2020).
5. Сайт компании Celeroton. Раздел каталогов электрических машин [Электрон. ресурс] URL: www.celeroton.com (дата обращения 03.09.2020).
6. Lim Myung-Seop, Chai Seung-Hee, Yang Jae-Sik, Hong J.P. Design and verification of 150-krpm PMSM based on experiment results of prototype. – IEEE Transactions on Industrial Electronics, 2015, vol. 62, No. 12, DOI:10.1109/TIE.2015.2409804.
7. Novák M., Novák Z. Construction of high-speed permanent magnet synchronous machine. – 17th International Conference on Electrical Drives and Power Electronics, Dubrovnik, Croatia, 2013.
8. Tuysuz A., Meyer F., Steichen M., Zwyssig C., Kolar J.W. Advanced Cooling Methods for High-Speed Electrical Machines. – IEEE Transactions on Industry Applications, 2017, vol. 53, No. 3, pp. 2077–2087, DOI: 10.1109/TIA.2017.2672921.
9. Сайт компании Leonardo DRS. Раздел каталогов электрических машин [Электрон. ресурс] URL: www.leonardodrs.com (дата обращения 03.09.2020).
10. Beno J.H., Flynn M.M., Hayes R.J., et all. Design and analysis of a 20 MW propulsion power train. – Proceedings of 7th International Naval Engineering Conference and Exhibition (INEC), Amsterdam, The Netherlands, 2004, pp. 409–414.
11. Сайт компании Faulhaber. Раздел каталогов электрических машин [Электрон. ресурс] URL: www.faulhaber.com (дата обращения 03.09.2020).
12. Englebretson S., Ouyang W., Tschida C., Carr J., et all. Advanced direct-drive generator for improved availability of oscillating wave surge converter power generation systems. Final technical report. ABB Inc., Cary, NC, United States, 2017.
13. Saban D., Artinian H. Permanent-magnet motors for subsea applications, 2008, 8 р. [Электрон. ресурс] URL: http://www.directdrivesystems.net/tech-papers (дата обращения 02.09.2012).
14. Сайт компании TheSwitch. Раздел каталогов электрических машин [Электрон. ресурс] URL: https://theswitch.com/ (дата обращения 03.09.2020).
15. Shade N. Enormous power in a small package: Direct Drive Systems introduces high-speed motor for compression applications, CompressorTech2, Jan-Feb 2006.
16. Сайт компании Halodi Robotics. Раздел каталогов электрических двигателей [Электрон. ресурс] URL:www.halodi.com (дата обращения 03.09.2020).
17. Сайт компании Kollmorgen. Раздел каталогов электрических двигателей [Электрон. ресурс] URL: www.kollmorgen.com (дата обращения 03.09.2020).
18. Сайт компании Leroy Somer. Раздел каталогов электрических двигателей [Электрон. ресурс] URL: https://acim.nidec.com/motors/leroy-somer (дата обращения 03.09.2020).
19. Сайт компании Moog. Раздел каталогов электрических двигателей [Электрон. ресурс] URL: www.moog.com (дата обращения 03.09.2020).
20. Сайт компании Turnigy. Раздел каталогов электрических двигателей [Электрон. ресурс] URL: www.turnigy.com (дата обращения 03.09.2020).
21. Копылов И.П. Математическое моделирование электрических машин. Учебник для вузов. 3-е изд., М.: Высшая школа, 2001, 327 с.
#
1. Matveev A.V. Elektrichestvo – in Russ. (Electricity), 2019, No. 11, pp. 45–53.
2. Matveev A.V. Elektrichestvo – in Russ. (Electricity), 2020, No. 7, pp. 41–56.
3. Matveev A., Røkke A. Power take-off for tidal turbines providing lowest cost of energy. – 10th European Wave and Tidal Energy Conference EWTEC-2013, Aalborg, Denmark, 2013.
4. ETEL website. Catalog section of electric machines [Electron. resource] URL: www.etel.ch (Date of appeal 02.09.2020).
5. Celeroton website. Catalog section of electric machines [Electron. resource] URL: www.celeroton.com (Date of appeal 03.09.2020).
6. Lim Myung-Seop, Chai Seung-Hee, Yang Jae-Sik, Hong J.P. Design and verification of 150-krpm PMSM based on experiment results of prototype. – IEEE Transactions on Industrial Electronics, 2015, vol. 62, No. 12, DOI:10.1109/TIE.2015.2409804.
7. Novák M., Novák Z. Construction of high-speed permanent magnet synchronous machine. – 17th International Conference on Electrical Drives and Power Electronics, Dubrovnik, Croatia, 2013.
8. Tuysuz A., Meyer F., Steichen M., Zwyssig C., Kolar J.W. Advanced Cooling Methods for High-Speed Electrical Machines. – IEEE Transactions on Industry Applications, 2017, vol. 53, No. 3, pp. 2077–2087, DOI: 10.1109/TIA.2017.2672921.
9. Leonardo DRS website. Catalog section of electric machines [Electron. resource] URL: www.leonardodrs.com (Date of appeal 03.09.2020).
10. Beno J.H., Flynn M.M., Hayes R.J., et all. Design and analysis of a 20 MW propulsion power train. – Proceedings of 7th International Naval Engineering Conference and Exhibition (INEC), Amsterdam, The Netherlands, 2004, pp. 409–414.
11. Faulhaber website. Catalog section of electric machines [Electron. resource] URL: www.faulhaber.com (Date of appeal 03.09.2020).
12. Englebretson S., Ouyang W., Tschida C., Carr J., et all. Advanced direct-drive generator for improved availability of oscillating wave surge converter power generation systems. Final technical report. ABB Inc., Cary, NC, United States, 2017.
13. Saban D., Artinian H. Permanent-magnet motors for subsea applications, 2008, 8 р. [Electron. resource] URL: http://www.directdrivesystems.net/tech-papers (Date of appeal 02.09.2012).
14. TheSwitch website. Catalog section of electric machines [Electron. resource] URL: https://theswitch.com (Date of appeal 03.09.2020).
15. Shade N. Enormous power in a small package: Direct Drive Systems introduces high-speed motor for compression applications, CompressorTech2, Jan-Feb 2006.
16. Halodi Robotics website. Catalog section of electric machines [Electron. resource] URL: www.halodi.com (Date of appeal 03.09.2020).
17. Kollmorgen website. Catalog section of electric machines [Electron. resource] URL: www.kollmorgen.com (Date of appeal 03.09.2020).
18. Leroy Somer website. Catalog section of electric machines [Electron. resource] URL: https://acim.nidec.com/motors/leroy-somer (Date of appeal 03.09.2020).
19. Moog website. Catalog section of electric machines [Electron. resource] URL: www.moog.com (Date of appeal 03.09.2020).
20. Turnigy website. Catalog section of electric machines [Electron. resource] URL: www.turnigy.com (Date of appeal 03.09.2020).
21. Kopylov I.P. Matematicheskoe modelirovanie elektricheskih mashin. Ucheb. dlya vuzov, 3-e izd. (Mathematical modelling of electric machines. 3rd issue). M.: Vysshaya shkola, 2001, 327 p.
