ارزیابی و مقایسه روش‌های تخمین بازده موتورهای سه‌فاز القائی در حین کار

نوع مقاله : مقاله پژوهشی

نویسندگان

1 نویسنده مسئول: استادیار، دانشگاه شهید بهشتی، تهران، ایران

2 دانشجوی دکتری، دانشگاه شهید بهشتی، تهران، ایران

چکیده

روش‌های استاندارد برای اندازه‌گیری بازده موتورهای الکتریکی به دو روش مستقیم و غیر مستقیم تقسیم می‌شود. تامین شرایط و تجهیزات مورد نیاز این روش‌ها برای اندازه‌گیری بازده موتورهای الکتریکی در حین کار، معمولا به سهولت میسر نیست. در این شرایط، برای اندازه‌گیری بازده موتورهای سه فاز القایی، از روش‌های تخمین برخط بازده این موتورها می‌توان استفاده نمود. به این صورت که با استفاده از اندازه‌گیری متغیرهای الکتریکی، شامل جریان، ولتاژ، توان و ضریب توان موتور، توان خروجی موتور تخمین زده می‌شود. روش‌های تخمین برخط بازده موتورهای سه فاز القایی به چهار دسته روش لغزش، روش جریان، روش مدار معادل الکتریکی و روش تخمین گشتاور فاصله هوایی تقسیم می‌شود. در این بین، دو روش مدار معادل الکتریکی و تخمین گشتاور فاصله هوایی، دقت مناسبی برای محاسبه بازده موتورهای سه فاز القایی دارند. در این مقاله، مطالعات قبلی انجام شده برای تخمین بازده موتورهای سه فاز القایی در حین کار، با استفاده از دو روش مدار معادل الکتریکی و تخمین گشتاور فاصله هوایی، مرور می‌شود.

کلیدواژه‌ها


عنوان مقاله [English]

Review on In-service Efficiency Estimation of Three Phase Induction Motors

نویسندگان [English]

  • Ali Mosallanejad 1
  • Alireza Ghaempanah 2
1
2 Department of electrical engineering, Shahid Beheshti University، tehran ، iran
چکیده [English]

The standard methods for determining the efficiency of electric motors have been divided into two distinct categories; direct and indirect methods. Usually, it is difficult to prepare all necessary facilities and requirements for measuring the efficiency of in-service electric motors. Meanwhile, some online efficiency estimation methods have been developed for three-phase induction motors that can be used in necessity. In these methods, the output power of the three-phase induction motor is estimated by measuring electrical signals of the motor including current, voltage, active power, and power factor. Three-phase induction motor's in-service efficiency estimation methods are divided into four categories including slip method, current method, equivalent circuit method, and air gap torque method. The two latter mentioned methods have enough accuracy in comparison with the standard methods. In this article, previous literature on online and in-service efficiency estimation methods of three-phase induction motors, based on the equivalent circuit method and the air gap torque method are reviewed.

کلیدواژه‌ها [English]

  • Three phase induction motor
  • efficiency
  • air gap torque
  • equivalent circuit method
  • friction and windage loss
  • stray loss
[1]    P. Waide and C. U. Brunner, “Energy-efficiency Policy Opportunities for Electric Motor-driven Systems,” IEA report, 2011.
[2]    A. Boglietli, A. Cavagnino, M. Lazzari, and A. Pastorelli, “Induction Motor Efficiency Measurements in Accordance to IEEE 112-B, IEC 34-2 and JEC 37 International Standards,” In IEEE International Electric Machines and Drives Conference, IEMDC'03., vol. 3, pp. 1599-1605, 2003.
[3]    A. Boglietti, A. Cavagnino, M. Lazzari, and M. Pastorelli, “International Standards for the Induction Motor Efficiency Evaluation: A Critical Analysis of the Stray-load Loss Determination,” In 38th IAS Annual Meeting on Conference Record of the Industry Applications Conference, IEEE, vol. 2, pp. 841-848, 2003.
[4]    B. Renier, K. Hameyer, and R. Belmans, “Comparison of Standards for Determining Efficiency of Three Phase Induction Motors,” IEEE Transactions on energy conversion, vol. 14, pp. 512-517, 1999.
[5]    E. B. Agamloh, “A Comparison of Direct and Indirect Measurement of Induction Motor Efficiency,” In  IEEE International Electric Machines and Drives Conference,  pp. 36-42:, 2009.
[6]    E. B. Agamloh, “Induction Motor Efficiency,” IEEE Industry Applications Magazine, vol. 17, no. 6, pp. 20-28, 2011.
[7]    A. Wallace, A. Von Jouanne, E. Wiedenbrug, J. Douglass, C. Wohlgemuth, and G. Wainwright, “A Laboratory Assessment of In-service Motor Efficiency Testing Methods,” In IEEE International Electric Machines and Drives Conference Record, pp. WC1/7.1-WC1/7.3, 1997.
[8]    J. Kueck, “Development of a Method for Estimating Motor Efficiency and Analyzing Motor Condition,” In Conference Record of 1998 Annual Pulp and Paper Industry Technical Conference (Cat. No. 98CH36219), IEEE , pp. 67-72, 1998.
[9]    B. Lu, D. B. Durocher, and P. Stemper, “Online and Nonintrusive Continuous Motor Energy and Condition Monitoring in Process Industries,” In Conference Record of 2008 54th Annual Pulp and Paper Industry Technical Conference, IEEE , pp. 18-26, 2008.
[10]  B. Herndler, P. Barendse, and M. Khan, “Error Analysis of Efficiency Estimation Methods for Induction Motors,” In IEEE International Electric Machines & Drives Conference (IEMDC), pp. 1498-1503, 2011.
[11]  V. Dlamini, R. Naidoo, and M. Manyage, “A Non-intrusive Compensated Slip Method for Motor Efficiency Estimation Using Vibration Signature Analysis,” In IEEE Africon'11, pp. 1-6, 2011.
[12]  T. Doget, E. Etien, L. Rambault, and S. Cauet, “A PLL-Based Online Estimation of Induction Motor Consumption Without Electrical Measurement," Electronics, vol. 8, p. 469, 2019.
[13]  J. César da Silva, T. Leite de Vasconcelos Lima, J.A. de Lucena Júnior, G. Jordão Lyra, F. Vidal Souto, H. de Souza Pimentel, F. Antônio Belo, A. Cavalcante Lima Filho, "Non-Invasive Method for In-Service Induction Motor Efficiency Estimation Based on Sound Acquisition," Applied Sciences, vol. 10, no. 11, p. 3757, 2020.
[14]  H. Akbari Resketi, S. M. Mirimani, and J. Adabi Firouzjaee, “Technical and Economical Assessment of the Efficiency Improvement of Induction Motors after Rewinding,” Scientific Journal of Applied Electromagnetics, vol. 8, pp. 17-26, 2020 (In Persian).
[15]  B. Lu, T. G. Habetler, and R. G. Harley, “A Nonintrusive and In-service Motor-efficiency Estimation Method Using Air-gap Torque with Considerations of Condition Monitoring,” IEEE Transactions on Industry Applications, vol. 44, pp. 1666-1674, 2008.
[16]  T. Green, C. Hernandez-Aramburo, and A. Smith, “Losses in Gridand Inverter Supplied Induction Machine Drives,” IEEE Proceedings-Electric Power Applications, vol. 150, pp. 712-724, 2003.
[17]  M. Al-Badri, P. Pillay, and P. Angers, “A Novel in Situ Efficiency Estimation Algorithm for Three-phase Induction Motors Operating with Distorted Unbalanced Voltages,” IEEE Transactions on Industry Applications, vol. 53, pp. 5338-5347, 2017.
[18]  M. H. Aoulkadi and A. Binder, “When Loads Stray: Evaluation of Different Measurement Methods to Determine Stray Load Losses in Induction Machines,” IEEE Industrial Electronics Magazine, vol. 2, pp. 21-30, 2008.
[19]  E. B. Agamloh, “An Evaluation of Induction Machine Stray Load Loss from Collated Test Results,” IEEE Transactions on Industry Applications, vol. 46, pp. 2311-2318, 2010.
[20]  A. Nagornyy, A. K. Wallace, and A. Jouanne, “Stray Load Loss Efficiency Connections,” IEEE Industry Applications Magazine, vol. 10, pp. 62-69, 2004.
[21]  IEEE Standard Test Procedure for Polyphase Induction Motors and Generators, IEEE Std. 112-2017, 2017.
[22]  A. De Almeida, F. J. Ferreira, J. F. Busch, and P. Angers, “Comparative Analysis of IEEE 112-B and IEC 34-2 Efficiency Testing Standards Using Stray Load Losses in Low-voltage Three-phase, Cage Induction Motors,” IEEE Transactions on Industry Applications, vol. 38, pp. 608-614, 2002.
[23]  Rotating Electrical Machines—Part 2-1: Standard Methods for Determining Losses and Efficiency of Rotating Electrical Machinery From Tests (Excluding Machines for Traction Vehicles), Edition 1IEC 60034-2-1, 2014.
[24]  P. Pillay, M. Al-Badri, P. Angers, and C. Desai, “A New Stray-load loss Formula for Small and Medium-sized Induction Motors,” IEEE Transactions on Energy Conversion, vol. 31, pp. 1221-1227, 2016.
[25]  M. Al-Badri, P. Pillay, and P. Angers, “A Novel Algorithm for Estimating Refurbished Three-phase Induction Motors Efficiency Using Only No-load Tests,” IEEE Transactions on Energy Conversion, vol. 30, pp. 615-625, 2014.
[26]  P. Pillay, V. Levin, P. Otaduy, and J. Kueck, “In-situ induction Motor Efficiency Determination Using the Genetic Algorithm,” IEEE Transactions on Energy Conversion, vol. 13, pp. 326-333, 1998.
[27]  A. Boglietti, A. Cavagnino, L. Ferraris, and M. Lazzari, “Induction Motor Equivalent Circuit Including the Stray Load Losses in the Machine Power Balance,” IEEE Transactions on Energy Conversion, vol. 23, pp. 796-803, 2008.
[28]  A. Boglietti, A. Cavagnino, L. Ferraris, and M. Lazzari, “Impact of the Supply Voltage on the Stray-load Losses in Induction Motors,” IEEE Transactions on Industry Applications, vol. 46, pp. 1374-1380, 2010.
[29]  J. S. Hsu, J. D. Kueck, M. Olszewski, D. A. Casada, P. J. Otaduy, and L. M. Tolbert, “Comparison of Induction Motor Field Efficiency Evaluation Methods,” In IAS'96. Conference Record of the 1996 IEEE Industry Applications Conference Thirty-First IAS Annual Meeting, vol. 1, pp. 703-712, 1996.
[30]  [30] B. Lu, T. G. Habetler, and R. G. Harley, “A Survey of Efficiency Estimation Methods of In-service Induction Motors with Considerations of Condition Monitoring Requirements,” In IEEE International Conference on Electric Machines and Drives , pp. 1365-1372, 2005.
[31]  B. Lu, T. G. Habetler, and R. G. Harley, “A Survey of Efficiency-estimation Methods for In-service Induction Motors,” IEEE Transactions on Industry Applications, vol. 42, pp. 924-933, 2006.
[32]  J. R. Holmquist, J. A. Rooks, and M. E. Richter, “Practical Approach for Determining Motor Efficiency in the Field Using Calculated and Measured Values,” IEEE Transactions on Industry Applications, vol. 40, pp. 242-248, 2004.
[33]  D. Sebastian, V. Manjusha, and R. Anto, “Energy Management of Induction Motors Using Non-intrusive Methods,” In  International Conference on Power, Energy and Control (ICPEC), IEEE, pp. 767-772, 2013.
[34]  V. Dlamini, R. Bansal, and R. Naidoo, “An Improved Motor Replacement Strategy Using Non-intrusive Motor Efficiency Estimation,” In  International Conference on the Eleventh industrial and Commercial Use of Energy, IEEE, pp. 1-8,2014.
[35]  W. L. Silva, A. M. N. Lima, and A. Oliveira, “A Method for Measuring Torque of Squirrel-cage Induction Motors Without any Mechanical Sensor,” IEEE Transactions on Instrumentation and Measurement, vol. 64, pp. 1223-1231, 2014.
[36]  A. Charette, J. Xu, A. Ba-Razzouk, P. Pillay, and V. Rajagopalan, “The Use of the Genetic Algorithm for In-situ Efficiency Measurement of an induction Motor,” In  IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No. 00CH37077),  vol. 1, pp. 392-397, 2000.
[37]  T. Phumiphak and C. Chat-Uthai, “An Economical Method for Induction Motor Field Efficiency Estimation for Use in On-site Energy Audit and Management,” In  International Conference on Power System Technology,  IEEE, vol. 2, pp. 1250-1254, 2004.
[38]  R. Marino, S. Peresada, and P. Tomei, “On-line Stator and Rotor Resistance Estimation for Induction Motors,” IEEE Transactions on Control Systems Technology, vol. 8, pp. 570-579, 2000.
[39]  M. Raina and H. A. Toliyat, “Parameter Estimation of Induction Motors-A Review and Status Report,” In IECON'01. 27th Annual Conference of the IEEE Industrial Electronics Society (Cat. No. 37243), vol. 2, pp. 1327-1332, 2001.
[40]  E. Ghosh, F. Ahmed, M. M. Sangdehi, and N. C. Kar, “Temperature Influenced Online Stator Resistance Estimation Using an Improved Swarm Intelligence Technique for Induction Machine,” In  IEEE Transportation Electrification Conference and Expo (ITEC), pp. 1-6, 2015.
[41]  C.P. Salomon, W.C. Santana, L.E. da Silva, E.L. Bonaldi, L.E. de Oliveira, J.G. da Silva, G. Lambert-Torres, A.R. Donadon, “An Air-gap Torque Based Method for Efficiency Evaluation Using PSO to Estimate a New Concept of Stator Resistance Including the Losses Effect,” In  IEEE International Instrumentation and Measurement Technology Conference (I2MTC), pp. 212-217, 2013.
[42]  A. Wallace and E. Widenbrug, “Motor efficiency Determination: From Testing Laboratory to Plant Installation,” In Conference Record of 1999 Annual Pulp and Paper Industry Technical Conference (Cat. No. 99CH36338), IEEE , pp. 190-195, 1999.
[43]  A. G. Siraki, C. Gajjar, M. A. Khan, P. Barendse, and P. Pillay, “An Algorithm for Nonintrusive in Situ Efficiency Estimation of Induction Machines Operating with Unbalanced Supply Conditions,” IEEE Transactions on Industry Applications, vol. 48, pp. 1890-1900, 2012.
[44]  H. Zhao, P. Li, G. Chen, Y. Wang, Y. Zhan, G. Xu, X. Liu, “Nonintrusive Efficiency Estimation for Large Power and High Voltage Induction Motors,” In  IEEE Energy Conversion Congress and Exposition (ECCE), pp. 786-793, 2017.
[45]  L.E. da Silva, A.D. Cortez, C.P. Salomon, W.C. Santana, G. Lambert-Torres, E.L. Bonaldi, L.E. de Oliveira, J.G. da Silva, “Differential Evolution Based Air-Gap Torque Method Approach for Induction Motor Efficiency Estimation,” In  18th International Conference on Intelligent System Application to Power Systems (ISAP), IEEE, pp. 1-6, 2015.
[46]  A. Singhal, A. Garg, S. Murthy, and V. Sandeep, “Online Parameter Determination and Performance Analysis of Three Phase Induction Motor Using Virtual Instrumentation,” In  IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES), pp. 1-6, 2012.
[47]  A. N. Lima, C. B. Jacobina, and E. B. de Souza Filho, “Nonlinear Parameter Estimation of Steady-state Induction Machine Models,” IEEE Transactions on Industrial Electronics, vol. 44, pp. 390-397, 1997.
[48]  P. Pillay, R. Nolan, and T. Haque, “Application of Genetic Algorithms to Motor Parameter Determination for Transient Torque Calculations,” IEEE Transactions on Industry Applications, vol. 33, pp. 1273-1282, 1997.
[49]  H. A. Toliyat, E. Levi, and M. Raina, “A Review of RFO Induction Motor Parameter Estimation Techniques,” IEEE Transactions on Energy conversion, vol. 18, pp. 271-283, 2003.
[50]  M. G. Bijan, M. Al-Badri, P. Pillay, and P. Angers, “Induction Machine Parameter Range Constraints in Genetic Algorithm Based Efficiency Estimation Techniques,” IEEE Transactions on Industry Applications, vol. 54, pp. 4186-4197, 2018.
[51]  B. Lu, W. Cao, I. French, K. J. Bradley, and T. G. Habetler, “Non-intrusive Efficiency Determination of In-service Induction Motors Using Genetic Algorithm and Air-gap Torque Methods,” in  IEEE Industry Applications Annual Meeting, pp. 1186-1192, 2007.
[52]  R. R. Bishop and G. G. Richards, “Identifying Induction Machine Parameters Using a Genetic Optimization Algorithm,” In IEEE Proceedings on Southeastcon, pp. 476-479, 1990.
[53]  M. Çunkaş and T. Sağ, “Efficiency Determination of Induction Motors Using Multi-objective Evolutionary Algorithms,” Advances in Engineering Software, vol. 41, pp. 255-261, 2010.
[54]  M. Al-Badri, P. Pillay, and P. Angers, “A Novel in Situ Efficiency Estimation Algorithm for Three-phase IM Using GA, IEEE Method F1 Calculations, and Pretested Motor Data,” IEEE Transactions on Energy Conversion, vol. 30, pp. 1092-1102, 2015.
[55]  V. Sakthivel, R. Bhuvaneswari, and S. Subramanian, “Non-intrusive Efficiency Estimation Method for Energy Auditing and Management of In-service Induction Motor Using Bacterial Foraging Algorithm,” IET Electric Power Applications, vol. 4, pp. 579-590, 2010.
[56]  V. S. Santos, P. V. Felipe, and J. G. Sarduy, “Bacterial Foraging Algorithm Application for Induction Motor Field Efficiency Estimation under Unbalanced Voltages,” Measurement, vol. 46, pp. 2232-2237, 2013.
[57]  V. S. Santos, P. R. V. Felipe, J. R. G. Sarduy, N. A. Lemozy, A. Jurado, and E. C. Quispe, “Procedure for Determining Induction Motor Efficiency Working under Distorted Grid Voltages,” IEEE Transactions on Energy Conversion, vol. 30, pp. 331-339, 2014.
[58]  D. Bhowmick, M. Manna, and S. K. Chowdhury, “Online Estimation and Analysis of Equivalent Circuit Parameters of Three Phase Induction Motor Using Particle Swarm Optimization,” In  IEEE 7th Power India International Conference (PIICON), pp. 1-5, 2016.
[59]  M. Al-Badri, P. Pillay, and P. Angers, “A Novel Full-load Efficiency Estimation Technique for induction Motors Operating with Unbalanced Voltages,” In  IEEE International Electric Machines & Drives Conference (IEMDC), pp. 35-40 , 2015.
[60]  A. Mamizadeh and I. Iskender, “Designing of Induction Motor Efficiency Monitoring System without Using Torque Meter and Speed Sensor,” In  International Conference on Optimization of Electrical and Electronic Equipment (OPTIM) & 2017 Intl Aegean Conference on Electrical Machines and Power Electronics (ACEMP),  IEEE, pp. 330-335 2017.
[61]  M. Torrent, “Estimation of Equivalent Circuits for Induction Motors in Steady State Including Mechanical and Stray Load Losses,” European Transactions on Electrical Power, vol. 22, pp. 989-1015, 2012.
[62]  J. Rengifo, E. Albanez, J. Benzaquen, A. Bueno, and J. Aller, “Full-load Range In-situ Efficiency Estimation Method for Induction Motors Using Only a direct Start-up,” In  XIII International Conference on Electrical Machines (ICEM), IEEE , pp. 1213-1219 2018.
[63]  Y. El-Ibiary, “An Accurate Low-cost Method for Determining Electric Motors' Efficiency for the Purpose of Plant Energy Management,” IEEE Transactions on Industry Applications, vol. 39, pp. 1205-1210, 2003.
[64]  C. S. Gajjar, J. M. Kinyua, M. A. Khan, and P. S. Barendse, “Analysis of a Nonintrusive Efficiency Estimation Technique for Induction Machines Compared to the IEEE 112B and IEC 34-2-1 Standards,” IEEE Transactions on Industry Applications, vol. 51, pp. 4541-4553, 2015.
[65]  A. G. Siraki and P. Pillay, “An in Situ Efficiency Estimation Technique for Induction Machines Working with Unbalanced Supplies,” IEEE Transactions on Energy Conversion, vol. 27, pp. 85-95, 2011.
[66]  J. R. Gomez, E. C. Quispe, M. A. de Armas, and P. R. Viego, “Estimation of Induction Motor Efficiency In-situ under Unbalanced Voltages Using Genetic Algorithms,” In 18th International Conference on Electrical Machines, IEEE , pp. 1-4, 2008.
[67]  M. Aminu, P. Barendse, and A. Khan, “A Simplified Equivalent Circuit Method for Induction Machine Nonintrusive Field Efficiency Estimation,” IEEE Transactions on Industrial Electronics, vol. 67, pp. 7301-7311, 2019.
[68]  A. G. Siraki and P. Pillay, “Comparison of Two Methods for Full-load in Situ Induction Motor Efficiency Estimation from Field Testing in the Presence of Over/Undervoltages and Unbalanced Supplies,” IEEE Transactions on Industry Applications, vol. 48, pp. 1911-1921, 2012.
[69]  M. Chirindo, M. A. Khan, and P. S. Barendse, “Considerations for Nonintrusive Efficiency Estimation of Inverter-fed Induction Motors,” IEEE Transactions on Industrial Electronics, vol. 63, pp. 741-749, 2015.
[70]  P. G. Cummings, “Estimating Effect of System Harmonics on Losses and Temperature Rise of Squirrel-cage Motors,” IEEE Transactions on industry applications,vol. 63 , pp. 1121-1126, 1986.
[71]  M. Al-Badri, P. Pillay, and P. Angers, “Induction Machine Rapid Performance Test,” IEEE Transactions on Industry Applications, vol. 55, pp. 4685-4691, 2019.
[72]  M. G. Bijan and P. Pillay, “Efficiency Estimation of the Induction Machine by Particle Swarm Optimization Using Rapid Test Data with Range Constraints,” IEEE Transactions on Industrial Electronics, vol. 66, pp. 5883-5894, 2019.
[73]  A. G. Siraki, P. Pillay, and P. Angers, "Full load Efficiency Estimation of Refurbished Induction Machines from No-load Testing,” IEEE Transactions on Energy Conversion, vol. 28, pp. 317-326, 2013.
[74]  W.-M. Lin, T.-J. Su, and R.-C. Wu, “Parameter Identification of Induction Machine with a Starting No-load Low-voltage Test,” IEEE Transactions on Industrial Electronics, vol. 59, pp. 352-360, 2012.
[75]  M. Aminu, P. Barendse, and A. Khan, “Efficiency Estimation of Induction Machines Using Nonintrusive No-load Low Voltage Test,” in  IEEE Energy Conversion Congress and Exposition (ECCE), pp. 3171-3178, 2017.
[76]  J. S. Hsu and B. P. Scoggins, “Field Test of Motor Efficiency and load Changes Through Air-gap Torque,” IEEE Transactions on Energy Conversion, vol. 10, pp. 477-483, 1995.
[77]  B. L. Herndler, “Non-intrusive Efficiency Estimation of Induction Machines,” University of Cape Town, 2010.
[78]  B. Herndler, P. Barendse, and M. Khan, “Considerations for Improving the Non-intrusive Efficiency Estimation of Induction Machines Using the Air Gap Torque Method,” In  IEEE International Electric Machines & Drives Conference (IEMDC), pp. 1516-1521, 2011.
[79]  J. S. Hsu and P. L. Sorenson, “Field Assessment of Induction Motor Efficiency Through Air-gap Torque,” IEEE Transactions on Energy Conversion, vol. 11, pp. 489-494, 1996.
[80]  Y. Li and H. Yu, “Energy Management for Induction Motors Based on Nonintrusive Efficiency Estimation,” In International Conference on Electrical Machines and Systems (ICEMS),  IEEE, pp. 1763-1766, 2007.
[81]  J. Hsu, H. Woodson, and W. Weldon, “Possible Errors in Measurement of Air-gap Torque Pulsations of Induction Motors,” IEEE Transactions on Energy Conversion, vol. 7, pp. 202-208, 1992.
[82]  M. M. Stopa, M. A. Saldanha, A.-S. A. Luiz, L. M. R. Baccarini, and G. A. Lacerda, “A Simple Torque Estimator for In-service Efficiency Determination of Induction Motors,” IEEE Transactions on Industry Applications, vol. 54, pp. 4967-4976, 2018.
[83]  F. V. de Carvalho, J. Pinto, L. B. da Silva, B. K. Bose, and G. L. Torres, “A DSP Based Torque Meter for Induction Motors,” in IECON'03. 29th Annual Conference of the IEEE Industrial Electronics Society, 2003. 
[84]  C.P. Salomon, W.C. Santana, L.E. da Silva, E.L. Bonaldi, L.E. de Oliveira, J.G. da Silva, G. Lambert-Torres, A.R. Donadon, “A Stator Flux Synthesis Approach for Torque Estimation of Induction Motors Using a Modified Stator Resistance Considering the Losses Effect,” In  International Electric Machines & Drives Conference,  IEEE, pp. 1369-1375, 2013.
[85]  C.P. Salomon, W.C. Sant’Ana, L.E. da Silva, G. Lambert-Torres, E.L. Bonaldi, L.E. de Oliveira, J.G. da Silva, “Induction Motor Efficiency Evaluation Using a New Concept of Stator Resistance,” IEEE Transactions on Instrumentation and Measurement, vol. 64, pp. 2908-2917, 2015.
[86]  M. M. Stopa, M. R. Resende, A.-S. A. Luiz, J. C. G. Justino, G. G. Rodrigues, and B. J. Cardoso Filho, “A Simple Torque Estimator for In-service Efficiency Determination of Inverter-fed Induction Motors,” IEEE Transactions on Industry Applications, vol. 56, pp. 2087-2096, 2020.
[87]  C. P. Salomon, W. C. Sant’Ana, G. Lambert-Torres, L. E. Borges da Silva, E. L. Bonaldi, and L. E. d. L. De Oliveira, “Comparison among Methods for Induction Motor Low-intrusive Efficiency Evaluation Including a New AGT Approach with a Modified Stator Resistance,” Energies, vol. 11, pp. 691, 2018.
دوره 10، شماره 2 - شماره پیاپی 25
شماره پیاپی 25، دوفصلنامه پاییز و زمستان
آبان 1401
صفحه 35-53
  • تاریخ دریافت: 26 تیر 1400
  • تاریخ بازنگری: 15 فروردین 1401
  • تاریخ پذیرش: 15 تیر 1401
  • تاریخ انتشار: 01 آبان 1401