Instantaneous frequency of the left sideband harmonic during the start-up transient: A new method for diagnosis of broken bars

IEEE Transactions on Industrial Electronics

Volumn 56, Issue 11, 2009, Pages 4557-4570

  Pineda Sanchez, Manuel ^a   Riera Guasp, Martin ^a   Antonino Daviu, Jose Alfonso ^a   Roger Folch, Jose ^a   Perez Cruz, Juan ^a   Puche Panadero, Ruben ^a  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

Fault diagnosis; Frequency estimation; Hilbert transform (HT); Induction motors; Time frequency analysis; Wavelet transform (WT)

Indexed keywords

BROKEN BAR; BROKEN ROTOR BAR; COMMERCIAL MOTORS; CONSTANT FREQUENCY; FAULT DIAGNOSIS; FAULT INDICATORS; HILBERT TRANSFORM; HILBERT TRANSFORM (HT); INDUCTION MACHINES; INSTANTANEOUS FREQUENCY; OPERATING CONDITION; START-UPS; TIME-FREQUENCY ANALYSIS;

ELECTRIC FREQUENCY MEASUREMENT; FAILURE ANALYSIS; INDUCTION MOTORS; MOTORS; TRUCKS; WAVELET TRANSFORMS;

FREQUENCY ESTIMATION;

EID: 70350381826     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2009.2026211     Document Type: Article

References (98)

1. G. B. Kliman, R. A. Koegl, J. Stein, R. D. Endicott, and M. W. Madden, "Noninvasive detection of broken rotor bars in operating induction motors," IEEE Trans. Energy Convers., vol. 3, no. 4, pp. 873-879, Dec. 1988.
2. A. Bellini, F. Filippetti, G. Franceschini, C. Tassoni, and G. B. Kliman, "Quantitative evaluation of induction motor broken bars by means of electrical signature analysis," IEEE Trans. Ind. Appl., vol. 37, no. 5, pp. 1248-1255, Sep./Oct. 2001.
3. F. Filippetti, G. Franceschini, C. Tassoni, and P. Vas, "AI techniques in induction machines diagnosis including the speed ripple effect," IEEE Trans. Ind. Appl., vol. 34, no. 1, pp. 98-108, Jan./Feb. 1998.
4. A. Bellini, F. Filippetti, G. Franceschini, C. Tassoni, R. Passaglia, M. Saottini, G. Tontini, M. Giovannini, and A. Rossi, "On-field experience with online diagnosis of large induction motors cage failures using MCSA," IEEE Trans. Ind. Appl., vol. 38, no. 4, pp. 1045-1053, Jul./Aug. 2002.
5. M. E. H. Benbouzid, M. Vieira, and C. Theys, "Induction motors' faults detection and localization using stator current advanced signal processing techniques," IEEE Trans. Power Electron., vol. 14, no. 1, pp. 14-22, Jan. 1999.
6. G. Didier, E. Ternisien, O. Caspary, and H. Razik, "Fault detection of broken rotor bars in induction motor using a global fault index," IEEE Trans. Ind. Appl., vol. 42, no. 1, pp. 79-88, Jan./Feb. 2006.
7. W. T. Thomson and M. Fenger, "Current signature analysis to detect induction motor faults," IEEE Ind. Appl. Mag., vol. 7, no. 4, pp. 26-34, Jul./Aug. 2001.
8. H. Henao, H. Razik, and G. A. Capolino, "Analytical approach of the stator current frequency harmonics computation for detection of induction machine rotor faults," IEEE Trans. Ind. Appl., vol. 41, no. 3, pp. 801-807, May/Jun. 2005.
9. B. Ayhan, M. Y. Chow, and M. H. Song, "Multiple discriminant analysis and neural-network-based monolith and partition fault-detection schemes for broken rotor bar in induction motors," IEEE Trans. Ind. Electron., vol. 53, no. 4, pp. 1298-1308, Jun. 2006.
10. R. Puche-Panadero, M. Pineda-Sanchez, M. Riera-Guasp, J. Roger-Folch, E. Hurtado-Perez, and J. Perez-Cruz, "Improved resolution of the MCSA method via Hilbert transform, enabling the diagnosis of rotor asymmetries at very low slip," IEEE Trans. Energy Convers., vol. 24, no. 1, pp. 52-59, Mar. 2009.
11. A. Bellini, G. Franceschini, and C. Tassoni, "Monitoring of induction machines by maximum covariance method for frequency tracking," IEEE Trans. Ind. Appl., vol. 42, no. 1, pp. 69-78, Jan./Feb. 2006.
12. J. H. Jung, J. J. Lee, and B. H. Kwon, "Online diagnosis of induction motors using MCSA," IEEE Trans. Ind. Electron., vol. 53, no. 6, pp. 1842-1852, Dec. 2006.
13. S. H. Kia, H. Henao, and G. A. Capolino, "A high-resolution frequency estimation method for three-phase induction machine fault detection," IEEE Trans. Ind. Electron., vol. 54, no. 4, pp. 2305-2314, Aug. 2007.
14. A. Bellini, F. Filippetti, D. Casadei, A. Yazidi, and G. A. Capolino, "Monitoring of induction machines currents by high frequency resolution analysis," in Conf. Rec. 41st IEEE IAS Annu. Meeting, Tampa, FL, Oct. 8-12, 2006, pp. 2320-2325.
15. A. Bellini, A. Yazidi, F. Filippetti, C. Rossi, and G. A. Capolino, "High frequency resolution techniques for rotor fault detection of induction machines," IEEE Trans. Ind. Electron., vol. 55, no. 12, pp. 4200-4209, Dec. 2008.
16. A. Stefani, F. Filippetti, and A. Bellini, "Diagnosis of induction machines in time-varying conditions," in Proc. IEEE Int. Symp. Diagnostics Electr. Mach., Power Electron. Drives, Cracow, Poland, Sep. 6-8, 2007, pp. 126-131.
17. I. M. Culbert and W. Rhodes, "Using current signature analysis technology to reliably detect cage winding defects in squirrel-cage induction motors," IEEE Trans. Ind. Appl., vol. 43, no. 2, pp. 422-428, Mar./Apr. 2007.
18. B. Yazici and G. B. Kliman, "An adaptive statistical time - frequency method for detection of broken bars and bearing faults in motors using stator current," IEEE Trans. Ind. Appl., vol. 35, no. 2, pp. 442-452, Mar./Apr. 1999.
19. R. Burnett, J. F. Watson, and S. Elder, "The application of modern signal processing techniques for use in rotor fault detection and location within three-phase induction motors," Signal Process., vol. 49, no. 1, pp. 57-70, Feb. 1996.
20. J. Cusido, L. Romeral, J. A. Ortega, J. A. Rosero, and A. Garcia Espinosa, "Fault detection in induction machines using power spectral density in wavelet decomposition," IEEE Trans. Ind. Electron., vol. 55, no. 2, pp. 633-643, Feb. 2008.
21. S. Rajagopalan, J. M. Aller, J. A. Restrepo, T. G. Habetler, and R. G. Harley, "Detection of rotor faults in brushless DC motors operating under nonstationary conditions," IEEE Trans. Ind. Appl., vol. 42, no. 6, pp. 1464-1477, Nov./Dec. 2006.
22. Z. Zhang, Z. Ren, and W. Huang, "A novel detection method of motor broken rotor bars based on wavelet ridge," IEEE Trans. Energy Convers., vol. 18, no. 3, pp. 417-423, Sep. 2003.
23. H. Douglas, P. Pillay, and A. K. Ziarani, "Broken rotor bar detection in induction machines with transient operating speeds," IEEE Trans. Energy Convers., vol. 20, no. 1, pp. 135-141, Mar. 2005.
24. Z. K. Peng and F. L. Chu, "Application of the wavelet transform in machine condition monitoring and fault diagnostics: A review with bibliography," Mech. Syst. Signal Process., vol. 18, no. 2, pp. 199-221, Mar. 2004.
25. R. Supangat, N. Ertugrul, W. L. Soong, D. A. Gray, C. Hansen, and J. Grieger, "Detection of broken rotor bars in induction motor using starting-current analysis and effects of loading," Proc. Inst. Elect. Eng. - Electr. Power Appl., vol. 153, no. 6, pp. 848-855, Nov. 2006.
26. O. A. Mohammed, N. Y. Abed, and S. Ganu, "Modeling and characterization of induction motor internal faults using finite-element and discrete wavelet transforms," IEEE Trans. Magn., vol. 42, no. 10, pp. 3434-3436, Oct. 2006.
27. J. Antonino-Daviu, M. Riera-Guasp, J. Roger-Folch, F. Martínez-Giménez, and A. Peris, "Application and optimization of the discrete wavelet transform for the detection of broken rotor bars in induction machines," Appl. Comput. Harmon. Anal., vol. 21, no. 2, pp. 268-279, Sep. 2006.
28. J. A. Antonino-Daviu, M. Riera-Guasp, J. R. Folch, and M. Pilar Molina Palomares, "Validation of a new method for the diagnosis of rotor bar failures via wavelet transform in industrial induction machines," IEEE Trans. Ind. Appl., vol. 42, no. 4, pp. 990-996, Jul./Aug. 2006.
29. F. Briz, M. W. Degner, P. Garcia, and D. Bragado, "Broken rotor bar detection in line-fed induction machines using complex wavelet analysis of startup transients," IEEE Trans. Ind. Appl., vol. 44, no. 3, pp. 760-768, May/Jun. 2008.
30. J. A. Antonino-Daviu, M. Riera-Guasp, J. Roger-Folch, and R. B. Perez, "An analytical comparison between DWT and Hilbert-Huang-based methods for the diagnosis of rotor asymmetries in induction machines," in Conf. Rec. 42nd IEEE IAS Annu. Meeting, New Orleans, LA, Sep. 23-27, 2007, pp. 1932-1939.
31. M. Riera-Guasp, J. A. Antonino-Daviu, M. Pineda-Sanchez, R. Puche-Panadero, and J. Perez-Cruz, "A general approach for the transient detection of slip-dependent fault components based on the discrete wavelet transform," IEEE Trans. Ind. Electron., vol. 55, no. 12, pp. 4167-4180, Dec. 2008.
32. A. Bellini, C. Concari, G. Franceschini, E. Lorenzani, C. Tassoni, and A. Toscani, "Thorough understanding and experimental validation of current sideband components in induction machines rotor monitoring," in Conf. Rec. 32nd Annu. Conf. IEEE IECON, Paris, France, Nov. 7-10, 2006, pp. 4957-4962.
33. M. Riera-Guasp, J. A. Antonino-Daviu, J. Roger-Folch, and M. P. Molina Palomares, "The use of the wavelet approximation signal as a tool for the diagnosis of rotor bar failures," IEEE Trans. Ind. Appl., vol. 44, no. 3, pp. 716-726, May/Jun. 2008.
34. J. Antonino-Daviu, P. Jover, M. Riera, A. Arkkio, and J. Roger-Folch, "DWT analysis of numerical and experimental data for the diagnosis of dynamic eccentricities in induction motors," Mech. Syst. Signal Process., vol. 21, no. 6, pp. 2575-2589, Aug. 2007.
35. S. Wu and T. W. S. Chow, "Induction machine fault detection using SOM-based RBF neural networks," IEEE Trans. Ind. Electron., vol. 51, no. 1, pp. 183-194, Feb. 2004.
36. B. Boashash, "Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals," Proc. IEEE, vol. 80, no. 4, pp. 520-538, Apr. 1992.
37. P. J. Loughlin and B. Tacer, "Comments on the interpretation of instantaneous frequency," IEEE Signal Process. Lett., vol. 4, no. 5, pp. 123-125, May 1997.
38. W. Nho and P. J. Loughlin, "When is instantaneous frequency the average frequency at each time?" IEEE Signal Process. Lett., vol. 6, no. 4, pp. 78-80, Apr. 1999.
39. T. Kijewski-Correa and A. Kareem, "Nonlinear signal analysis: Time - frequency perspectives," J. Eng. Mech., vol. 133, no. 2, pp. 238-245, Feb. 2007.
40. H. Teager, "Some observations on oral air flow during phonation," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-28, no. 5, pp. 599-601, Oct. 1980.
41. J. F. Kaiser, "On a simple algorithm to calculate the 'energy' of a signal," in Conf. Rec. ICASSP, Albuquerque, NM, Apr. 1990, vol. 1, pp. 381-384.
42. F. Hlawatsch and G. F. Boudreaux-Bartels, "Linear and quadratic time - frequency signal representations," IEEE Signal Process. Mag., vol. 9, no. 2, pp. 21-67, Apr. 1992.
43. M. Blodt, M. Chabert, J. Regnier, and J. Faucher, "Mechanical load fault detection in induction motors by stator current time-frequency analysis," IEEE Trans. Ind. Appl., vol. 42, no. 6, pp. 1454-1463, Nov./Dec. 2006.
44. Z. Leonowicz, T. Lobos, and T. Sikorski, "Time-frequency analysis of complex space phasor in power electronics," IEEE Trans. Instrum. Meas., vol. 56, no. 6, pp. 2395-2403, Dec. 2007.
45. S. Rajagopalan, J. A. Restrepo, J. M. Aller, T. G. Habetler, and R. G. Harley, "Nonstationary motor fault detection using recent quadratic time - frequency representations," IEEE Trans. Ind. Appl., vol. 44, no. 3, pp. 735-744, May/Jun. 2008.
46. M. Blodt, D. Bonacci, J. Regnier, M. Chabert, and J. Faucher, "On-line monitoring of mechanical faults in variable-speed induction motor drives using the Wigner distribution," IEEE Trans. Ind. Electron., vol. 55, no. 2, pp. 522-533, Feb. 2008.
47. N. Delprat, B. Escudie, P. Guillemain, R. Kronland-Martinet, P. Tchamitchian, and B. Torresani, "Asymptotic wavelet and Gabor analysis: Extraction of instantaneous frequencies," IEEE Trans. Inf. Theory vol. 38, no. 2, pp. 644-664, Mar. 1992.
48. R. A. Carmona, W. L. Hwang, and B. Torresani, "Characterization of signals by the ridges of their wavelet transforms," IEEE Trans. Signal Process., vol. 45, no. 10, pp. 2586-2590, Oct. 1997.
49. R. A. Carmona, W. L. Hwang, and B. Torresani, "Multiridge detection and time - frequency reconstruction," IEEE Trans. Signal Process., vol. 47, no. 2, pp. 480-492, Feb. 1999.
50. C. L. Tu, W. L. Hwang, and J. Ho, "Analysis of singularities from modulus maxima of complex wavelets," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 1049-1062, Mar. 2005.
51. B. Boashash, "Estimating and interpreting the instantaneous frequency of a signal. II. Algorithms and application," Proc. IEEE, vol. 80, no. 4, pp. 540-568, Apr. 1992.
52. D. Gabor, "Theory of communication," J. IEE, vol. 93, no. 26, pp. 429-457, Nov. 1946.
53. V. Cizek, "Discrete Hilbert transform," IEEE Trans. Audio Electroacoust., vol. AU-18, no. 4, pp. 340-343, Dec. 1970.
54. J. Ville, "Theorie et applications de la notion de signal analytique," Cables Transm., vol. 2, no. 1, pp. 61-74, 1948.
55. E. Bedrosian, "A product theorem for Hilbert transforms," Proc. IEEE, vol. 51, no. 5, pp. 868-869, May 1963.
56. A. H. Nuttall and E. Bedrosian, "On the quadrature approximation to the Hilbert transform of modulated signals," Proc. IEEE, vol. 54, no. 10, pp. 1458-1459, Oct. 1966.
57. A. W. Rihaczek and E. Bedrosian, "Hilbert transforms and the complex representation of real signals," Proc. IEEE, vol. 54, no. 3, pp. 434-435, Mar. 1966.
58. K. Kodera, R. Gendrin, and C. Villedary, "Analysis of time-varying signals with small BT values," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-26, no. 1, pp. 64-76, Feb. 1978.
59. D. Vakman, "Computer measuring of frequency stability and the analytic signal," IEEE Trans. Instrum. Meas., vol. 43, no. 4, pp. 668-671, Aug. 1994.
60. A. Reilly, G. Frazer, and B. Boashash, "Analytic signal generation - Tips and traps," IEEE Trans. Signal Process., vol. 42, no. 11, pp. 3241-3245, Nov. 1994.
61. B. Picinbono, "On instantaneous amplitude and phase of signals," IEEE Trans. Signal Process., vol. 45, no. 3, pp. 552-560, Mar. 1997.
62. N. E. Huang, Z. Shen, S. R. Long, M. C. Wu, H. H. Shih, and Q. Zheng, "The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis," Proc. R. Soc. Lond. A, Math. Phys. Sci., vol. 454, no. 1971, pp. 903-995, Mar. 1998.
63. G. Girolami and D. Vakman, "Instantaneous frequency estimation and measurement: A quasi-local method," Meas. Sci. Technol., vol. 13, no. 6, pp. 909-917, Jun. 2002.
64. S. Olhede and A. T. Walden, "The Hilbert spectrum via wavelet projections," Proc. R. Soc. Lond. A, Math. Phys. Sci., vol. 460, no. 2044, pp. 955-975, Apr. 2004.
65. M. Elfataoui and G. Mirchandani, "A frequency-domain method for generation of discrete-time analytic signals," IEEE Trans. Signal Process., vol. 54, no. 9, pp. 3343-3352, Sep. 2006.
66. G. Didier, E. Ternisien, O. Caspary, and H. Razik, "A new approach to detect broken rotor bars in induction machines by current spectrum analysis," Mech. Syst. Signal Process., vol. 21, no. 2, pp. 1127-1142, Feb. 2007.
67. G. Rilling and P. Flandrin, "One or two frequencies? The empirical mode decomposition answers," IEEE Trans. Signal Process., vol. 56, no. 1, pp. 85-95, Jan. 2008.
68. A. K. Ziarani and A. Konrad, "A method of extraction of nonstationary sinusoids," Signal Process., vol. 84, no. 8, pp. 1323-1346, Aug. 2004.
69. D. R. McGaughey, M. Tarbouchi, K. Nutt, and A. Chikhani, "Speed sensorless estimation of AC induction motors using the fast orthogonal search algorithm," IEEE Trans. Energy Convers., vol. 21, no. 1, pp. 112-120, Mar. 2006.
70. J. M. Aller, T. G. Habetler, R. G. Harley, R. M. Tallam, and S. B. Lee, "Sensorless speed measurement of AC machines using analytic wavelet transform," IEEE Trans. Ind. Appl., vol. 38, no. 5, pp. 1344-1350, Sep./Oct. 2002.
71. J. F. Watson and N. C. Paterson, "Improved techniques for rotor fault detection in three-phase induction motors," in Conf. Rec. 33rd IEEE IAS Annu. Meeting, St. Louis, MO, Oct. 12-15, 1998, vol. 1, pp. 271-277.
72. P. P. Vaidyanathan, "Multirate digital filters, filter banks, polyphase networks, and applications: A tutorial," Proc. IEEE, vol. 78, no. 1, pp. 56-93, Jan. 1990.
73. C. Pan, "Gibbs phenomenon removal and digital filtering directly through the fast Fourier transform," IEEE Trans. Signal Process., vol. 49, no. 2, pp. 444-448, Feb. 2001.
74. P.-L. Shui, Z. Bao, and Y. Y. Tang, "Three-band biorthogonal interpolating complex wavelets with stopband suppression via lifting scheme," IEEE Trans. Signal Process., vol. 51, no. 5, pp. 1293-1305, May 2003.
75. J.-Z. Yang, C.-S. Yu, and C.-W. Liu, "A new method for power signal harmonic analysis," IEEE Trans. Power Del., vol. 20, no. 2, pp. 1235-1239, Apr. 2005.
76. K. Selvajyothi and P. A. Janakiraman, "Extraction of harmonics using composite observers," IEEE Trans. Power Del., vol. 23, no. 1, pp. 31-40, Jan. 2008.
77. Z. K. Peng, P. W. Tse, and F. L. Chu, "A comparison study of improved Hilbert - Huang transform and wavelet transform: Application to fault diagnosis for rolling bearing," Mech. Syst. Signal Process., vol. 19, no. 5, pp. 974-988, Sep. 2005.
78. T. Kijewski-Correa and A. Kareem, "Performance of wavelet transform and empirical mode decomposition in extracting signals embedded in noise," J. Eng. Mech., vol. 133, no. 7, pp. 849-852, Jul. 2007.
79. S. Mallat, A Wavelet Tour of Signal Processing. San Diego, CA: Academic, 1999.
80. Z. Ye, B. Wu, and A. Sadeghian, "Current signature analysis of induction motor mechanical faults by wavelet packet decomposition," IEEE Trans. Ind. Electron., vol. 50, no. 6, pp. 1217-1228, Dec. 2003.
81. T. W. S. Chow and S. Hai, "Induction machine fault diagnostic analysis with wavelet technique," IEEE Trans. Ind. Electron., vol. 51, no. 3, pp. 558-565, Jun. 2004.
82. I. W. Selesnick, R. G. Baraniuk, and N. C. Kingsbury, "The dual-tree complex wavelet transform," IEEE Signal Process. Mag., vol. 22, no. 6, pp. 123-151, Nov. 2005.
83. M. A. Awadallah and M. M. Morcos, "Automatic diagnosis and location of open-switch fault in brushless DC motor drives using wavelets and neuro-fuzzy systems," IEEE Trans. Energy Convers., vol. 21, no. 1, pp. 104-111, Mar. 2006.
84. S. H. Kia, A. M. Mabwe, H. Henao, and G. A. Capolino, "Wavelet based instantaneous power analysis for induction machine fault diagnosis," in Proc. 32nd Annu. Conf. IEEE IECON, Paris, France, Nov. 7-10, 2006, pp. 1229-1234.
85. T. Kijewski-Correa and A. Kareem, "Efficacy of Hilbert and wavelet transforms for time - frequency analysis," J. Eng. Mech., vol. 132, no. 10, pp. 1037-1049, Oct. 2006.
86. A. R. Mohanty and C. Kar, "Fault detection in a multistage gearbox by demodulation of motor current waveform," IEEE Trans. Ind. Electron. vol. 53, no. 4, pp. 1285-1297, Jun. 2006.
87. C. Koley, P. Purkait, and S. Chakravorti, "Wavelet-aided SVM tool for impulse fault identification in transformers," IEEE Trans. Power Del., vol. 21, no. 3, pp. 1283-1290, Jul. 2006.
88. M. A. S. K. Khan, T. S. Radwan, and M. A. Rahman, "Real-time implementation of wavelet packet transform-based diagnosis and protection of three-phase induction motors," IEEE Trans. Energy Convers., vol. 22, no. 3, pp. 647-655, Sep. 2007.
89. W. G. Morsi and M. E. El-Hawary, "Reformulating three-phase power components definitions contained in the IEEE standard 1459-2000 using discrete wavelet transform," IEEE Trans. Power Del., vol. 22, no. 3, pp. 1917-1925, Jul. 2007.
90. F. Ponci, A. Monti, L. Cristaldi, and M. Lazzaroni, "Diagnostic of a faulty induction motor drive via wavelet decomposition," IEEE Trans. Instrum. Meas., vol. 56, no. 6, pp. 2606-2615, Dec. 2007.
91. W. G. Zanardelli, E. G. Strangas, and S. Aviyente, "Identification of intermittent electrical and mechanical faults in permanent-magnet AC drives based on time - frequency analysis," IEEE Trans. Ind. Appl. vol. 43, no. 4, pp. 971-980, Jul./Aug. 2007.
92. T. Lin and A. Domijan, Jr., "Recursive algorithm for real-time measurement of electrical variables in power systems," IEEE Trans. Power Del., vol. 21, no. 1, pp. 15-22, Jan. 2006.
93. D. Giaouris, J. W. Finch, O. C. Ferreira, R. M. Kennel, and G. M. El-Murr, "Wavelet denoising for electric drives," IEEE Trans. Ind. Electron., vol. 55, no. 2, pp. 543-550, Feb. 2008.
94. A. Ordaz-Moreno, R. de Jesus Romero-Troncoso, J. A. Vite-Frias, J. R. Rivera-Gillen, and A. Garcia-Perez, "Automatic online diagnosis algorithm for broken-bar detection on induction motors based on discrete wavelet transform for FPGA implementation," IEEE Trans. Ind. Electron., vol. 55, no. 5, pp. 2193-2202, May 2008.
95. S. H. Kia, H. Henao, and G. A. Capolino, "Diagnosis of broken bar fault in induction machines using discrete wavelet transform without slip estimation," in Conf. Rec. 42nd IEEE IAS Annu. Meeting, New Orleans, LA, Sep. 23-27, 2007, pp. 1917-1922.
96. R. Supangat, J. Grieger, N. Ertugrul,W. L. Soong, D. Gray, and C. Hansen, "Detection of broken rotor bar faults and effects of loading in induction motors during rundown," in Proc. IEEE IEMDC, Antalya, Turkey, May 3-5, 2007, pp. 196-201.
97. C. S. Burrus, R. A. Gopinath, and H. Guo, Introduction to Wavelets and Wavelet Transforms. Englewood Cliffs, NJ: Prentice-Hall, 1998.
98. J. Holtz, "Sensorless control of induction machines - With or without signal injection?" IEEE Trans. Ind. Electron., vol. 53, no. 1, pp. 7-30, Feb. 2006.