The Effect of Dynamic Eccentricity on Induction Machine Stator Currents (Part A)
Current spectrums of a high power induction machine was calculated for the cases of full symmetry, static and dynamic eccentricity. The calculations involve integration of 93 electrical plus four mechanical ordinary differential equations. Electrical equations account for variable inductances affected by slotting and eccentricities. The calculations were followed by Fourier analysis of the stator currents in steady state operation. The paper presents the stator current spectrums in full symmetry, static and dynamic eccentricity cases, and demonstrates the harmonics present in each case. The effect of dynamic eccentricity is demonstrating via comparing the current spectrums related to dynamic eccentricity cases with the full symmetry one. The paper includes one case study, refers to dynamic eccentricity, to present the spectrum of the measured current and demonstrate the existence of the harmonics related to dynamic eccentricity. The zooms of current spectrums around the main slot harmonic zone are included to simplify the comparison and prove the existence of the dynamic eccentricity harmonics in both calculated and measured current spectrums.
[1] V. Devanneaux, H. Kabbaj, B. Dagues, and J. Faucher, "A versatile
model of squirrel cage induction machines for design, monitoring and
diagnosis purposes," 9th European Conference on Power Electronics and
Applications, Auguest, 2001.
[2] A. Bellini, F. Filippetti, G. Franceschini, and C. Tassoni, "Towards correct quantification of induction machines broken bars through input electrical signals", International Conference on Electrical Machines,
ICEM-2000, 28-30 August 2000, Espoo, Finland, pp. 781-785.
[3] A. Bellini, F. Filippetti, G. Franceschini, and C. Tassoni, "Quantitative
evaluation of induction motor broken bars by means of electrical
signature analysis", IEEE, Transactions on Industry Applications, vol.
37 No. 5, pp. 1248-55. 2001.
[4] A. Lebaroud, A. Bentousi, A. Kkhezzar, M. Boucherma. "Effects of
broken bar of induction motor with stator asymmetry and distorted
supply ", International Conference on Electrical Machines, ICEM-2004,
5-8 September 2004, Cracow, Poland, pp. 795-796.
[5] Saleh Elawgali. "Effect of combined eccentricities on the spectrum of
induction machine currents", XL International Symposium on Electrical
Machines, SME-2004, 15-18 June 2004, Hajnowka, Poland, pp. 457-
462.
[6] Saleh Elawgali. "Current spectrums of a 3.15 MW induction machine
based on diagnostic oriented calculations ", Elektrotechnika i Elektronika, AGH Uczelniane Wydawnictwa Naukowo-Dydaktyczne,
tom 23. zeszyt 1, pp. 14-26, Krakow 2004.
[7] Saleh Elawgali. "Effect of eccentricities and cage asymmetry on the
induction machine currents, considering deformation of supply
voltages", International Conference on Electrical Machines,
ICEM-2004, 5-8 September 2004, Cracow, Poland, pp. 443-444.
[8] J. Rusek, "Computer implementation of induction machine dynamical
model accounting for broken bars, eccentricities, slotting and parallel
branches", International Conference on Electrical Machines, ICEM-2000, 28-30 August 2000, Espoo, Finland, pp. 868-872.
[9] J. Rusek, "Category, slot harmonics and the torque of induction machines", The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, COMPEL, vol. 22 no. 2, pp.
388-409, 2003.
[10] J. Rusek, “Categorization of induction machines resulting from their
harmonic-balance model”, Electromagnetics, vol. 23, No. 3, April 2003,
Taylor & Francis, pp. 277-292.
[11] V. Devanneaux, H. Kabbaj, B. Dagues, and J. Faucher, “An accurate
model of squirrel cage induction machines under static, dynamic or
mixed eccentricity”, IEEE International Symposium on Diagnostics for
Electric Machines, Power Electronics and Drives, SDEMPED, 1-3
September 2001, Grado, Italy, pp. 121-126.
[12] W. T. Thomson, and A. Barbour, “On-line current monitoring and
application of a finite element method to predict the level of static air
gap eccentricity in three-phase induction motors”, IEEE Transaction on
Energy Conversion, vol. 13, No. 4, December 1998, pp. 347-354.
[1] V. Devanneaux, H. Kabbaj, B. Dagues, and J. Faucher, "A versatile
model of squirrel cage induction machines for design, monitoring and
diagnosis purposes," 9th European Conference on Power Electronics and
Applications, Auguest, 2001.
[2] A. Bellini, F. Filippetti, G. Franceschini, and C. Tassoni, "Towards correct quantification of induction machines broken bars through input electrical signals", International Conference on Electrical Machines,
ICEM-2000, 28-30 August 2000, Espoo, Finland, pp. 781-785.
[3] A. Bellini, F. Filippetti, G. Franceschini, and C. Tassoni, "Quantitative
evaluation of induction motor broken bars by means of electrical
signature analysis", IEEE, Transactions on Industry Applications, vol.
37 No. 5, pp. 1248-55. 2001.
[4] A. Lebaroud, A. Bentousi, A. Kkhezzar, M. Boucherma. "Effects of
broken bar of induction motor with stator asymmetry and distorted
supply ", International Conference on Electrical Machines, ICEM-2004,
5-8 September 2004, Cracow, Poland, pp. 795-796.
[5] Saleh Elawgali. "Effect of combined eccentricities on the spectrum of
induction machine currents", XL International Symposium on Electrical
Machines, SME-2004, 15-18 June 2004, Hajnowka, Poland, pp. 457-
462.
[6] Saleh Elawgali. "Current spectrums of a 3.15 MW induction machine
based on diagnostic oriented calculations ", Elektrotechnika i Elektronika, AGH Uczelniane Wydawnictwa Naukowo-Dydaktyczne,
tom 23. zeszyt 1, pp. 14-26, Krakow 2004.
[7] Saleh Elawgali. "Effect of eccentricities and cage asymmetry on the
induction machine currents, considering deformation of supply
voltages", International Conference on Electrical Machines,
ICEM-2004, 5-8 September 2004, Cracow, Poland, pp. 443-444.
[8] J. Rusek, "Computer implementation of induction machine dynamical
model accounting for broken bars, eccentricities, slotting and parallel
branches", International Conference on Electrical Machines, ICEM-2000, 28-30 August 2000, Espoo, Finland, pp. 868-872.
[9] J. Rusek, "Category, slot harmonics and the torque of induction machines", The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, COMPEL, vol. 22 no. 2, pp.
388-409, 2003.
[10] J. Rusek, “Categorization of induction machines resulting from their
harmonic-balance model”, Electromagnetics, vol. 23, No. 3, April 2003,
Taylor & Francis, pp. 277-292.
[11] V. Devanneaux, H. Kabbaj, B. Dagues, and J. Faucher, “An accurate
model of squirrel cage induction machines under static, dynamic or
mixed eccentricity”, IEEE International Symposium on Diagnostics for
Electric Machines, Power Electronics and Drives, SDEMPED, 1-3
September 2001, Grado, Italy, pp. 121-126.
[12] W. T. Thomson, and A. Barbour, “On-line current monitoring and
application of a finite element method to predict the level of static air
gap eccentricity in three-phase induction motors”, IEEE Transaction on
Energy Conversion, vol. 13, No. 4, December 1998, pp. 347-354.
@article{"International Journal of Electrical, Electronic and Communication Sciences:52925", author = "Saleh S. Hamad Elawgali", title = "The Effect of Dynamic Eccentricity on Induction Machine Stator Currents (Part A)", abstract = "Current spectrums of a high power induction machine was calculated for the cases of full symmetry, static and dynamic eccentricity. The calculations involve integration of 93 electrical plus four mechanical ordinary differential equations. Electrical equations account for variable inductances affected by slotting and eccentricities. The calculations were followed by Fourier analysis of the stator currents in steady state operation. The paper presents the stator current spectrums in full symmetry, static and dynamic eccentricity cases, and demonstrates the harmonics present in each case. The effect of dynamic eccentricity is demonstrating via comparing the current spectrums related to dynamic eccentricity cases with the full symmetry one. The paper includes one case study, refers to dynamic eccentricity, to present the spectrum of the measured current and demonstrate the existence of the harmonics related to dynamic eccentricity. The zooms of current spectrums around the main slot harmonic zone are included to simplify the comparison and prove the existence of the dynamic eccentricity harmonics in both calculated and measured current spectrums.
", keywords = "Current spectrum, diagnostics, harmonics, Induction machine", volume = "6", number = "10", pages = "1132-5", }
