Vol. 114
Latest Volume
All Volumes
PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2011-03-10
Extension of Winding Function Theory for Radial and Axial Nonuniform Air Gap in Salient Pole Synchronous Machines
By
Progress In Electromagnetics Research, Vol. 114, 407-428, 2011
Abstract
In this paper, to calculate the salient pole machine inductances under radial and axial non-uniformity, a new method is developed. The method, an extension of the modified winding function theory to 3D, allows studying salient pole machines with radial and axial non-uniform air gap considering more realistic mean radius of the air gap. By using the developed method and a precise geometrical model, inductances of a salient pole machine with inclined rotor are calculated. Inductances are evaluated and effects of several asymmetries on inductances are shown. Calculated inductances are used in a coupled electromagnetic model, for simulation of a salient pole machine under healthy and different inclined eccentricity conditions. Simulation results show that the 19th stator current harmonic can be detected to alarm for inclined rotors. Experimental results that validate the theoretical and simulation results are presented.
Citation
Hamidreza Akbari, H. Meshgin-Kelk, and Jafar Milimonfared, "Extension of Winding Function Theory for Radial and Axial Nonuniform Air Gap in Salient Pole Synchronous Machines," Progress In Electromagnetics Research, Vol. 114, 407-428, 2011.
doi:10.2528/PIER11011201
References

1. Faiz, J. and B. M. Ebrahimi, "Mixed fault diagnosis in three-phase squirrel-cage induction motor using analysis of air-gap magnetic field," Progress In Electromagnetics Research, Vol. 64, 239-255, 2006.
doi:10.2528/PIER06080201

2. Nandi, S., H. Toliyat, and X. Li, "Condition monitoring and fault diagnosis of electrical motors: A review," IEEE Transactions on Energy Conversion, Vol. 20, No. 4, 719-729, 2005.
doi:10.1109/TEC.2005.847955

3. Torkaman, H. and E. Afjei, "FEM analysis of angular misalignment fault in SRM magnetostatic characteristics," Progress In Electromagnetics Research, Vol. 104, 31-48, 2010.
doi:10.2528/PIER10041406

4. Li, X. and S. Nandi, "Performance analysis of a three phase induction machine with inclined static eccentricity," IEEE Transactions on Industry Application, Vol. 43, No. 2, Mar. 2007.
doi:10.1109/TIA.2006.889806

5. Meshgin-Kelk, H., J. Milimonfared, and H. Toliyat, "Interbar currents and axial fluxes in healthy and faulty induction motors," IEEE Transactions on Industry Applications, Vol. 40, No. 1, 128-134, 2004.
doi:10.1109/TIA.2003.821792

6. Faiz, J. and B. M. Ebrahimi, "Static eccentricity fault diagnosis in an accelerating no-load three-phase saturated squirrel-cage induction motor," Progress In Electromagnetics Research B, Vol. 10, 35-54, 2008.
doi:10.2528/PIERB08081702

7. Vaseghi, B., N. Takorabet, and F. Meibody-Tabar, "Transient ¯nite element analysis of induction machines with stator winding turn fault," Progress In Electromagnetics Research, Vol. 95, 1-18, 2009.
doi:10.2528/PIER09052004

8. Torkaman, H. and E. Afjei, "Hybrid method of obtaining degrees of freedom for radial air gap length in SRM under normal and faulty conditions based on magnetostatic model," Progress In Electromagnetics Research, Vol. 100, 37-54, 2010.
doi:10.2528/PIER09111108

9. Faiz, J., B. M. Ebrahimi, and M. B. B. Shari¯an, "Time stepping ¯nite element analysis of rotor broken bars fault in a three-phase squirrel-cage induction motor," Progress In Electromagnetics Research, Vol. 68, 53-70, 2007.
doi:10.2528/PIER06080903

10. De Bortoli, M. J., S. J. Salon, and C. J. Slavic, "Effect of rotor eccentricity and parallel winding on induction behavior: A study using finite element analysis ," IEEE Transactions on Magnetics, Vol. 29, No. 2, 1676-1682, 1993.
doi:10.1109/20.250728

11. Toliyat, H., T. A. Lipo, and J. C. White, "Analysis of a concentrated winding induction machine for adjustable speed drive applications, part-1 (motor analysis)," IEEE Transactions on Energy Conversion, Vol. 6, 679-692, 1991.
doi:10.1109/60.103641

12. Toliyat, H. and T. A. Lipo, "Transient analysis of cage induction machines under stator, rotor bar and end-ring faults," IEEE Transactions on Energy Conversion, Vol. 10, No. 2, 241-247, Jun. 1995.
doi:10.1109/60.391888

13. Milimonfared, J., H. M. Kelk, A. D. Minassians, S. Nandi, and H. A Toliyat, "A novel approach for broken bar detection in cage induction motors ," IEEE Transactions on Industry Applications, Vol. 35, 1000-1006, 1999.
doi:10.1109/28.793359

14. Luo, X., Y. Liao, H. Toliyat, and T. A. Lipo, "Multiple coupled circuit modeling of induction machines," IEEE Transactions on Industry Applications, Vol. 31, 311-318, 1995.
doi:10.1109/28.370279

15. Joksimovic, M. G. and J. Penman, "The detection of inter turn short circuits in the stator windings of operating motors," IEEE Transactions on Industry Application, Vol. 47, 1078-1084, 2000.

16. Al-Nuim, N. A. and H. Toliyat, "A novel method for modeling dynamic air-gap eccentricity in synchronous machines based on modi¯ed winding function theory," IEEE Transactions on Energy Conversion, Vol. 13, 156-162, 1998.
doi:10.1109/60.678979

17. Faiz, J. and I. Tabatbaei, "Extension of winding function theory for non-uniform air gap in electric machinery," IEEE Transactions on Magnetics, Vol. 38, No. 6, Nov. 2002.
doi:10.1109/TMAG.2002.804805

18. Bossio, G., C. D. Angelo, J. Solsona, G. Garcia, and M. I. Valla, "A 2-D model of the induction machine: An extension of the modi¯ed winding function approach," IEEE Transactions on Energy Conversion, Vol. 19, No. 1, Mar. 2004.
doi:10.1109/TEC.2003.822294

19. Tabatabaei, I., J. Faiz, H. Lesani, and M. T. Nabavi-Razavi, "Modeling and simulation of a salient pole synchronous generator with dynamic eccentricity using modified winding function approach," IEEE Transactions on Magnetics, Vol. 40, No. 3, May 2004.
doi:10.1109/TMAG.2004.826611

20. Joksimovic, G. M., "Dynamic simulation of cage induction machine with air gap eccentricity," IEE Proc. Electr. Power Appl., Vol. 152, No. 4, 803-811, Jul. 2005.
doi:10.1049/ip-epa:20041229

21. Faiz, J., B. M. Ebrahimi, and M. Valavi, "Mixed eccentricity fault diagnosis in salient pole synchronous generator using modified winding function method," Progress In Electromagnetics Research B, Vol. 11, 155-172, 2009.
doi:10.2528/PIERB08110903

22. Akbari, H., J. Milimonfared, and H. Meshgin-Kelk, "Axial static eccentricity detection in induction machines by wavelet technique," International Review of Electrical Engineering, Vol. 5, No. 3, 2010.

23. Joksimovic, G. M., M. Durovic, J. Penman, and N. Arthur, "Dynamic simulation of dynamic eccentricity in induction machines-winding function approach," IEEE Transactions on Energy Conversion, Vol. 15, No. 2, 143-148, 2000.
doi:10.1109/60.866991

24. Nandi, S., "Modeling of induction machines including stator and rotor slot effects," IEEE Transactions on Industry Applications, Vol. 40, No. 4, 2004.
doi:10.1109/TIA.2004.830764

25. Ojaghi, M. and J. Faiz, "Extension to multiple coupled circuit modeling of induction machines to include variable degrees of saturation effects," IEEE Transactions on Magnetics, Vol. 44, No. 11, 2008.
doi:10.1109/TMAG.2008.2002405

26. Akbari, H., H. Meshgin-Kelk, and J. Milimonfared, "Induction machine modeling including the interbar currents using winding," International Review of Electrical Engineering, Vol. 4, No. 2, 2009.

27. Ostovic, V., Computer Aided Analysis of Electrical Machines, A Mathematical Approach, Prentice Hall, 1994.

28. Rahimian, M. and K. Butler-Purry, "Modeling of synchronous machines with damper windings for condition monitoring," International Electric Machines and Drives Conference, 2009.

29. Perers, R., U. Lunin, and M. Leijon, "Saturation effects on unbalanced magnetic pull in a hydroelectric generator with an eccentric rotor," IEEE Transactions on Magnetics, Vol. 43, No. 10, 2007.
doi:10.1109/TMAG.2007.903275

30. Nandi, S., "A detailed model of induction machine with saturation extendable for fault analysis," IEEE Transactions on Industry Application, Vol. 40, No. 5, 1302-1309, 2004.
doi:10.1109/TIA.2004.834101

31. Babaei, M., J. Faiz, B. M. Ebrahimi, S. Amini, and J. Nazarzadeh, "A detailed analytical model of a salient-pole synchronous generator under dynamic eccentricity fault," IEEE Transactions on Magnetics, Vol. 99, 2011.