Forming and Analytical Description of the Basic Vectors of a Two-Phase Switched Motor with a Two-Section Phase Winding
Keywords:
two-phase switched motor, three-phase motor, phase winding sections, equivalent circuit, section connection diagrams, section parameter designations, motor phase engagement methods, section vector, phase vector, basic vector, basic vector sets, analytical description of basic vector set
Abstract
The article describes a new approach to the consideration of physical processes in switched motors with two-section phase windings, in which the section is taken as an elementary analysis unit. A system of designations for sections and phases is proposed, which can be extended to an arbitrary number of phases in the motor and sections in the phase. The possible states of the phases and sections that characterize the participation of each of them in producing the electromagnetic torque are determined. For a two-phase switched motor, possible section connection diagrams, phase engagement methods corresponding to these diagrams, and sets of basic armature magnetic induction vectors are determined. An analytical description of the basic vectors in the form of sets, the elements of which contain information about the amplitude and phase shift, is performed. The sets of basic vectors in a two-phase motor with a two-section phase winding are compared with those in a three-phase motor with a single-section phase winding, which is currently most widely used. The obtained description of the basic vector sets can serve as a basis for analytically representing a digital device for controlling a two-phase switched motor, and also as a basis for implementing control methods based on vector pulse width modulation.
References
1. Телевизионная аппаратура документирования ТАД-1М. Сайт ОАО Машиноаппарат [Электрон. ресурс], URL: http://mashap.maverick.ru/MenuVert/TAD.html (дата обращения 02.06.2021).
2. Оптико-локационная станция ОЛС-УЭ. Сайт ОАО Машиноаппарат [Электрон. ресурс], URL: http://mashap.maverick.ru/MenuVert/OLS.html (дата обращения 02.06.2021).
3. Daud A-.K.K. Two Phase Brushless D.C. Motor For Artificial Heart Applications. – International Journal of Biology and Biometrical Engineering, 2009, vol. 3, iss. 2, pp. 11–18.
4. Ефромеев А.Г. Микропроцессорная система управления исполнительным двигателем с вращающимся статором. – Труды МАИ, 2012, № 62, с. 3.
5. Habibabadi R.A., Nekoubin A. Analysis and simulation of single-phase and two-phase axial flux brushless dc motor. – WSEAS Transactions on Power Systems, 2013, vol. 8, iss. 1, pp. 1–11.
6. Young J.S., et al. Characteristic Analysis of Independent 6 phase BLDC Motor. – Journal of the Korean Society of Marine Engineering, 2009, 33, pp. 939–945, DOI:10.5916/jkosme.2009.33.6.939.
7. Laxminarayana G., Pradeep K. Comparative Analysis of 3-, 5- and 7-Level Inverter Using Space Vector PWM. – International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 2013, vol. 2, iss. 7, pp. 3233–3241.
8. George K., Gopinathan S., Shinoy K.S. A Comparison of Three Phase and Five Phase BLDC Motor. – International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 2013, vol. 2, special iss. 1, pp. 479–486.
9. Boztas G., Yildirim M., Aydogmus O. Design and Analysis of Multi-Phase BLDC Motors for Electric Vehicles. – Engineering, Technology & Applied Science Research, 2018, vol. 8, No. 3, pp. 2646–2650, DOI:10.48084/etasr.1781.
10. Priyanka C.P., Sija Gopinathan. Modelling and Position Control of Five Phase Brushless DC Motor. – International Journal of Engineering Research & Technology, 2013, vol. 2, iss. 10, pp. 3749–3753.
11. Morteza Azadi, Ahmad Darabi. Speed Control of an Eleven-Phase Brushless DC Motor International Journal of Information and Electronics Engineering, 2013, vol. 3, No. 4, pp. 374–378, DOI: 10.7763/IJIEE.2013.V3.338.
12. Кривилёв А.В. Автоматизация формирования характеристик в задачах импульсного управления системой «усилитель мощности – исполнительный двигатель». I. Механические характеристики. – Известия РАН. Теория и системы управления, 2013, № 2, c. 92–104.
13. Кривилёв А.В. Автоматизация формирования характеристик в задачах импульсного управления системой «усилитель мощности – исполнительный двигатель». II. Энергетические характеристики – Известия РАН. Теория и системы управления, 2013, № 3, c. 133–142.
14. Улюшкин А.В., Трехонин И.В. Модернизация бесконтактного электродвигателя. – Труды НГТУ им. Р.Е. Алексеева, 2019, № 2 (125), с. 148–155,
15. Lin H., Kwon B. New PWM technique for two-phase brushless DC motor drives. – J. Electr.Eng. Technol., 2013, 8(5), 1107–1115, DOI:10.5370/JEET.2013.8.5.1107.
16. Lin H., et al. Digital implementation of PWM techniques for two-phase eight-switch inverter fed brushless DC motor drives. – J. Electr. Eng. Technol, 2013, 8 (2), 295–303, DOI:10.5370/JEET.2013.8.2.295.
17. ОСТ 16 0.515.083-86. Электродвигатели бесконтактные моментные серии ДБМ. Технические условия. Двигатели с пазовым статором.
18. Krivilev A.V., et al. Sectional approach to researching of two-phase BLDC motor MIP. – IOP Conference Series Materials Science and Engineering, 2019, 537:062093, DOI:10.1088/1757-899X/537/6/062093.
19. Кривилев А.В. Автоматизированный синтез управляющих булевых функций мехатронного модуля привода с трёхфазным вентильным двигателем. – Известия РАН. Теория и системы управления, 2010, № 2, с. 153–163.
20. Кривилев А.В., Ситникова А.В. Автоматизированный анализ управляющего слова мехатронного модуля привода с трёхфазным вентильным двигателем. – Известия РАН. Теория и системы управления, 2010, № 3, с. 5–13.
#
1. Televizionnaya apparatura dokumentirovaniya TAD-1M (Television equipment for documenting). JSC Mashinoapparat Site [Electron. Resource], URL: http://mashap.maverick.ru/MenuVert/TAD.html (Date of appeal 02.06.2021).
2. Optiko-lokatsionnaya stantsiya OLS-UE (Optic location station). JSC Mashinoapparat Site [Electron. Resource], URL: http://mashap.maverick.ru/MenuVert/OLS.html (Date of appeal 02.06.2021).
3. Daud A-.K.K. Two Phase Brushless D.C. Motor For Artificial Heart Applications. – International Journal of Biology and Biometrical Engineering, 2009, vol. 3, iss. 2, pp. 11–18.
4. Efromeev A.G. Trudy MAI – in Russ. (Proceedings of MAI), 2012, No. 62, pp. 3.
5. Habibabadi R.A., Nekoubin A. Analysis and simulation of single-phase and two-phase axial flux brushless dc motor. – WSEAS Transactions on Power Systems, 2013, vol. 8, iss. 1, pp. 1–11.
6. Young J.S., et al. Characteristic Analysis of Independent 6 phase BLDC Motor. – Journal of the Korean Society of Marine Engineering, 2009, 33, pp. 939–945, DOI:10.5916/jkosme.2009.33.6.939.
7. Laxminarayana G., Pradeep K. Comparative Analysis of 3-, 5- and 7-Level Inverter Using Space Vector PWM. – International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 2013, vol. 2, iss. 7, pp. 3233–3241.
8. George K., Gopinathan S., Shinoy K.S. A Comparison of Three Phase and Five Phase BLDC Motor. – International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 2013, vol. 2, special iss. 1, pp. 479–486.
9. Boztas G., Yildirim M., Aydogmus O. Design and Analysis of Multi-Phase BLDC Motors for Electric Vehicles. – Engineering, Technology & Applied Science Research, 2018, vol. 8, No. 3, pp. 2646–2650, DOI:10.48084/etasr.1781.
10. Priyanka C.P., Sija Gopinathan. Modelling and Position Control of Five Phase Brushless DC Motor. – International Journal of Engineering Research & Technology, 2013, vol. 2, iss. 10, pp. 3749–3753.
11. Morteza Azadi, Ahmad Darabi. Speed Control of an Eleven-Phase Brushless DC Motor International Journal of Information and Electronics Engineering, 2013, vol. 3, No. 4, pp. 374–378, DOI: 10.7763/IJIEE.2013.V3.338.
12. Krivilev A.V. Izvestiya RAN. Teoriya i sistemy upravleniya – in Russ. (Bulletin of the Russian Academy of Sciences. Control Systems and Theory), 2013, No. 2, pp. 92–104.
13. Krivilev A.V. Izvestiya RAN. Teoriya i sistemy upravleniya – in Russ. (Bulletin of the Russian Academy of Sciences. Control Systems and Theory), 2013, No. 3, pp. 133–142.
14. Ulyushkin A.V., Trekhonin I.V. Trudy NGTU im. R.E. Alek-seeva – in Russ. (Proceeding of Nizhny Novgorod State Technical University n. a. R. E. Alekseev), 2019, No. 2 (125), pp. 148–155,
15. Lin H., Kwon B. New PWM technique for two-phase brushless DC motor drives. – J. Electr.Eng. Technol., 2013, 8(5), 1107–1115, DOI:10.5370/JEET.2013.8.5.1107.
16. Lin H., et al. Digital implementation of PWM techniques for two-phase eight-switch inverter fed brushless DC motor drives. – J. Electr. Eng. Technol, 2013, 8 (2), 295–303, DOI:10.5370/JEET.2013.8.2.295.
17. OST V 16 0.515.083-86. Elektrodvigateli beskontaktnye momentnye serii DBM. Tekhnicheskie usloviya. Dvigateli s pazovym statorom. (Brushless torque electric motors of DBM series. Technical conditions. Cogged stator motors).
18. Krivilev A.V., et al. Sectional approach to researching of two-phase BLDC motor MIP. – IOP Conference Series Materials Science and Engineering, 2019, 537:062093, DOI:10.1088/1757-899X/537/6/062093.
19. Krivilev A.V. Izvestiya RAN. Teoriya i sistemy upravleniya – in Russ. (Bulletin of the Russian Academy of Sciences. Control Systems and Theory), 2010, No. 2, pp. 153–163.
20. Krivilev A.V., Sitnikova A.V. Izvestiya RAN. Teoriya i sistemy upravleniya – in Russ. (Bulletin of the Russian Academy of Sciences. Control Systems and Theory), 2010, No. 3, pp. 5–13.
2. Оптико-локационная станция ОЛС-УЭ. Сайт ОАО Машиноаппарат [Электрон. ресурс], URL: http://mashap.maverick.ru/MenuVert/OLS.html (дата обращения 02.06.2021).
3. Daud A-.K.K. Two Phase Brushless D.C. Motor For Artificial Heart Applications. – International Journal of Biology and Biometrical Engineering, 2009, vol. 3, iss. 2, pp. 11–18.
4. Ефромеев А.Г. Микропроцессорная система управления исполнительным двигателем с вращающимся статором. – Труды МАИ, 2012, № 62, с. 3.
5. Habibabadi R.A., Nekoubin A. Analysis and simulation of single-phase and two-phase axial flux brushless dc motor. – WSEAS Transactions on Power Systems, 2013, vol. 8, iss. 1, pp. 1–11.
6. Young J.S., et al. Characteristic Analysis of Independent 6 phase BLDC Motor. – Journal of the Korean Society of Marine Engineering, 2009, 33, pp. 939–945, DOI:10.5916/jkosme.2009.33.6.939.
7. Laxminarayana G., Pradeep K. Comparative Analysis of 3-, 5- and 7-Level Inverter Using Space Vector PWM. – International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 2013, vol. 2, iss. 7, pp. 3233–3241.
8. George K., Gopinathan S., Shinoy K.S. A Comparison of Three Phase and Five Phase BLDC Motor. – International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 2013, vol. 2, special iss. 1, pp. 479–486.
9. Boztas G., Yildirim M., Aydogmus O. Design and Analysis of Multi-Phase BLDC Motors for Electric Vehicles. – Engineering, Technology & Applied Science Research, 2018, vol. 8, No. 3, pp. 2646–2650, DOI:10.48084/etasr.1781.
10. Priyanka C.P., Sija Gopinathan. Modelling and Position Control of Five Phase Brushless DC Motor. – International Journal of Engineering Research & Technology, 2013, vol. 2, iss. 10, pp. 3749–3753.
11. Morteza Azadi, Ahmad Darabi. Speed Control of an Eleven-Phase Brushless DC Motor International Journal of Information and Electronics Engineering, 2013, vol. 3, No. 4, pp. 374–378, DOI: 10.7763/IJIEE.2013.V3.338.
12. Кривилёв А.В. Автоматизация формирования характеристик в задачах импульсного управления системой «усилитель мощности – исполнительный двигатель». I. Механические характеристики. – Известия РАН. Теория и системы управления, 2013, № 2, c. 92–104.
13. Кривилёв А.В. Автоматизация формирования характеристик в задачах импульсного управления системой «усилитель мощности – исполнительный двигатель». II. Энергетические характеристики – Известия РАН. Теория и системы управления, 2013, № 3, c. 133–142.
14. Улюшкин А.В., Трехонин И.В. Модернизация бесконтактного электродвигателя. – Труды НГТУ им. Р.Е. Алексеева, 2019, № 2 (125), с. 148–155,
15. Lin H., Kwon B. New PWM technique for two-phase brushless DC motor drives. – J. Electr.Eng. Technol., 2013, 8(5), 1107–1115, DOI:10.5370/JEET.2013.8.5.1107.
16. Lin H., et al. Digital implementation of PWM techniques for two-phase eight-switch inverter fed brushless DC motor drives. – J. Electr. Eng. Technol, 2013, 8 (2), 295–303, DOI:10.5370/JEET.2013.8.2.295.
17. ОСТ 16 0.515.083-86. Электродвигатели бесконтактные моментные серии ДБМ. Технические условия. Двигатели с пазовым статором.
18. Krivilev A.V., et al. Sectional approach to researching of two-phase BLDC motor MIP. – IOP Conference Series Materials Science and Engineering, 2019, 537:062093, DOI:10.1088/1757-899X/537/6/062093.
19. Кривилев А.В. Автоматизированный синтез управляющих булевых функций мехатронного модуля привода с трёхфазным вентильным двигателем. – Известия РАН. Теория и системы управления, 2010, № 2, с. 153–163.
20. Кривилев А.В., Ситникова А.В. Автоматизированный анализ управляющего слова мехатронного модуля привода с трёхфазным вентильным двигателем. – Известия РАН. Теория и системы управления, 2010, № 3, с. 5–13.
#
1. Televizionnaya apparatura dokumentirovaniya TAD-1M (Television equipment for documenting). JSC Mashinoapparat Site [Electron. Resource], URL: http://mashap.maverick.ru/MenuVert/TAD.html (Date of appeal 02.06.2021).
2. Optiko-lokatsionnaya stantsiya OLS-UE (Optic location station). JSC Mashinoapparat Site [Electron. Resource], URL: http://mashap.maverick.ru/MenuVert/OLS.html (Date of appeal 02.06.2021).
3. Daud A-.K.K. Two Phase Brushless D.C. Motor For Artificial Heart Applications. – International Journal of Biology and Biometrical Engineering, 2009, vol. 3, iss. 2, pp. 11–18.
4. Efromeev A.G. Trudy MAI – in Russ. (Proceedings of MAI), 2012, No. 62, pp. 3.
5. Habibabadi R.A., Nekoubin A. Analysis and simulation of single-phase and two-phase axial flux brushless dc motor. – WSEAS Transactions on Power Systems, 2013, vol. 8, iss. 1, pp. 1–11.
6. Young J.S., et al. Characteristic Analysis of Independent 6 phase BLDC Motor. – Journal of the Korean Society of Marine Engineering, 2009, 33, pp. 939–945, DOI:10.5916/jkosme.2009.33.6.939.
7. Laxminarayana G., Pradeep K. Comparative Analysis of 3-, 5- and 7-Level Inverter Using Space Vector PWM. – International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 2013, vol. 2, iss. 7, pp. 3233–3241.
8. George K., Gopinathan S., Shinoy K.S. A Comparison of Three Phase and Five Phase BLDC Motor. – International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 2013, vol. 2, special iss. 1, pp. 479–486.
9. Boztas G., Yildirim M., Aydogmus O. Design and Analysis of Multi-Phase BLDC Motors for Electric Vehicles. – Engineering, Technology & Applied Science Research, 2018, vol. 8, No. 3, pp. 2646–2650, DOI:10.48084/etasr.1781.
10. Priyanka C.P., Sija Gopinathan. Modelling and Position Control of Five Phase Brushless DC Motor. – International Journal of Engineering Research & Technology, 2013, vol. 2, iss. 10, pp. 3749–3753.
11. Morteza Azadi, Ahmad Darabi. Speed Control of an Eleven-Phase Brushless DC Motor International Journal of Information and Electronics Engineering, 2013, vol. 3, No. 4, pp. 374–378, DOI: 10.7763/IJIEE.2013.V3.338.
12. Krivilev A.V. Izvestiya RAN. Teoriya i sistemy upravleniya – in Russ. (Bulletin of the Russian Academy of Sciences. Control Systems and Theory), 2013, No. 2, pp. 92–104.
13. Krivilev A.V. Izvestiya RAN. Teoriya i sistemy upravleniya – in Russ. (Bulletin of the Russian Academy of Sciences. Control Systems and Theory), 2013, No. 3, pp. 133–142.
14. Ulyushkin A.V., Trekhonin I.V. Trudy NGTU im. R.E. Alek-seeva – in Russ. (Proceeding of Nizhny Novgorod State Technical University n. a. R. E. Alekseev), 2019, No. 2 (125), pp. 148–155,
15. Lin H., Kwon B. New PWM technique for two-phase brushless DC motor drives. – J. Electr.Eng. Technol., 2013, 8(5), 1107–1115, DOI:10.5370/JEET.2013.8.5.1107.
16. Lin H., et al. Digital implementation of PWM techniques for two-phase eight-switch inverter fed brushless DC motor drives. – J. Electr. Eng. Technol, 2013, 8 (2), 295–303, DOI:10.5370/JEET.2013.8.2.295.
17. OST V 16 0.515.083-86. Elektrodvigateli beskontaktnye momentnye serii DBM. Tekhnicheskie usloviya. Dvigateli s pazovym statorom. (Brushless torque electric motors of DBM series. Technical conditions. Cogged stator motors).
18. Krivilev A.V., et al. Sectional approach to researching of two-phase BLDC motor MIP. – IOP Conference Series Materials Science and Engineering, 2019, 537:062093, DOI:10.1088/1757-899X/537/6/062093.
19. Krivilev A.V. Izvestiya RAN. Teoriya i sistemy upravleniya – in Russ. (Bulletin of the Russian Academy of Sciences. Control Systems and Theory), 2010, No. 2, pp. 153–163.
20. Krivilev A.V., Sitnikova A.V. Izvestiya RAN. Teoriya i sistemy upravleniya – in Russ. (Bulletin of the Russian Academy of Sciences. Control Systems and Theory), 2010, No. 3, pp. 5–13.
Published
2021-05-31
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