© The Institution of Engineering and Technology
Modified magnetic-equivalent circuit for a double-cage-induction machine in both healthy and faulty cases is presented in this study while slot skewing, saturation effect and also space harmonics are considered. Moreover, in simulation, pole numbers, rotor bars and slot numbers are chosen arbitrarily and the behaviour of the saturable double-cage-induction machine is studied under various kinds of faults. Broken bar in both inner and outer cages and also inter-turn short circuit of stator windings are modelled and fault detection methods are presented. Differential equations are converted into algebraic equations using trapezoidal technique and are solved together with non-linear magnetic equations simultaneously. To reach this aim, at first, a single set of the system equations including magnetic and electric equations are generated, and then they are solved by the Newton–Raphson method in each time step. As an advantage of this study, the presented model is capable of modelling the healthy and faulty machine under various kinds of faults by a single model which has profound effect on reducing the complexity of equations and the simulation time. Finally, effectiveness of the proposed method is verified using finite-element method via Flux software.
References
-
-
1)
-
12. Wang, R., Pekarek, S., Bash, M.L., et al: ‘Incorporating skew in a magnetic equivalent circuit model of synchronous machines’, IEEE Trans. Energy Convers., 2015, 30, (2), pp. 816–817 (doi: 10.1109/TEC.2014.2373034).
-
2)
-
20. Nadarajan, S., Panda, S.K., Bhangu, B., et al: ‘Hybrid model for wound rotor synchronous generator to detect and diagnose turn-to-turn short circuit fault in stator windings’, IEEE Trans. Ind. Electron., 2015, 62, (3), pp. 1888–1900 (doi: 10.1109/TIE.2014.2370931).
-
3)
-
10. Bash, M.L., Pekarek, S.: ‘A magnetic equivalent circuit for automated design of wound-rotor synchronous machines’. Proc. IEEE Electric Ship Technologies Symp., Alexandria, VA, USA, April 2011, pp. 56–61.
-
4)
-
38. Joksimovic, G.M.: ‘Line current spectrum analysis in saturated three-phase cage induction machines’, Electr. Eng., 2010, 91, (8), pp. 425–437 (doi: 10.1007/s00202-010-0151-9).
-
5)
-
21. Qian, H., Guo, H., Ding, X.: ‘Modeling and analysis of inter-turn short fault in permanent magnet synchronous motors with multi-strands windings’, IEEE Trans. Power Electron., 2016, 31, (3), pp. 2496–2509 (doi: 10.1109/TPEL.2015.2439574).
-
6)
-
30. Guasch-Pesquer, L., Youb, L., Jaramillo-Matta, A.A., et al: ‘Parameters calculation of single and double cage models for induction motors from manufacturer data’. Proc. Int. Symp. on Advanced Electromechanical Motion Systems (ELECTROMOTION), Side, Turkey, September 2015.
-
7)
-
18. Roshanfekr, R., Jalilian, A.: ‘Experimental validation of MEC modeling for stator and rotor winding faults in WRIMs’. Proc. Int. Conf. on Electrical Machines (ICEM), Berlin, Germany, September 2014, pp. 1601–1607.
-
8)
-
13. Wang, R., Bash, M.L., Pekarek, S., et al: ‘A voltage input-based magnetic equivalent circuit model for wound rotor synchronous machines’. Proc. Electric Machines and Drives Conf. (IEMDC), Chicago, USA, May 2013, pp. 586–593.
-
9)
-
27. Faiz, J., Tabatabaei, I.: ‘Extension of winding function theory for nonuniform air gap in electric machinery’, IEEE Trans. Magn., 2002, 38, (6), pp. 3654–3657 (doi: 10.1109/TMAG.2002.804805).
-
10)
-
14. Sudhoff, S.D., Kuhn, B.T., Corzine, K.A., et al: ‘Magnetic equivalent circuit modeling of induction motors’, IEEE Trans. Energy Convers., 2007, 22, (2), pp. 259–270 (doi: 10.1109/TEC.2006.875471).
-
11)
-
27. Gyftakis, K.N., Athanasopoulos, D.K., Kappatou, J.: ‘Evaluation of different broken bar fault diagnostic means in double-cage induction motors with FEM’. Proc. Diagnostics for Electric Machines, Power Electronics and Drives, Valencia, Spain, August 2013, pp. 27–30.
-
12)
-
26. Park, J., Kim, B., Yang, J., et al: ‘Evaluation of the detectability of broken rotor bars for double squirrel cage rotor induction motors’. Proc. Energy Conversion Congress and Exposition (ECCE), Atlanta, GA, USA, September 2010, pp. 2493–2500.
-
13)
-
16. Faiz, J., Ghasemi-Bijan, M., Ebrahimi, B.M.: ‘Modeling and diagnosing eccentricity fault using three-dimensional magnetic equivalent circuit model of three-phase squirrel-cage induction motor’, Electr. Power Compon. Syst., 2015, 43, (11), pp. 1246–1256 (doi: 10.1080/15325008.2015.1029651).
-
14)
-
28. Gritli, Y., Di Tommaso, A.O., Filippetti, F., et al: ‘Investigation of motor current signature and vibration analysis for diagnosing rotor broken bars in double cage induction motors’. Proc. Int. Symp. on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM), Sorrento, Italy, June 2012, pp. 1360–1365.
-
15)
-
31. Pedra, J., Corcoles, F.: ‘Estimation of induction motor double-cage model parameters from manufacturer data’, IEEE Trans. Energy Convers., 2004, 19, (2), pp. 310–317 (doi: 10.1109/TEC.2003.822314).
-
16)
-
17. Zhang, M., Macdonald, A., Tseng, K.-J., et al: ‘Magnetic equivalent circuit modeling for interior permanent magnet synchronous machine under eccentricity fault’. Proc. 48th Int. Universities Power Engineering Conf. (UPEC), Dublin, Ireland, September 2013, pp. 1–6.
-
17)
-
36. Andrews Larry, C.: ‘Special functions of mathematics for engineers’ (SPIE Press Monograph, 1997, 2nd edn.), vol. PM49.
-
18)
-
6. Nazarzadeh, J., Naeeni, V.: ‘Magnetic reluctance method for dynamical modeling of squirrel cage induction machines’, in Chomat, M. (Ed.): ‘Electrical machines and drives’ (Intech Publication, 2012).
-
19)
-
26. Derbas, H.W., Williams, J.M., Koenig, A.C., et al: ‘A comparison of nodal- and mesh-based magnetic equivalent circuit models’, IEEE Trans. Energy Convers., 2009, 24, (2), pp. 388–396 (doi: 10.1109/TEC.2008.2002037).
-
20)
-
8. Pluk, K.J.W., Jansen, J.W., Lomonova, E.A.: ‘3-D hybrid analytical modeling: 3-D Fourier modeling combined with mesh-based 3-D magnetic equivalent circuits’, IEEE Trans. Magn., 2015, 51, (8), pp. 1–14 (doi: 10.1109/TMAG.2015.2419197).
-
21)
-
35. Razik, H., Henao, H., Carlson, R.: ‘The effect of inter-bar currents on the diagnostic of the induction motor’. Proc. IEEE Int. Symp. on Industrial Electronics, Ajaccio, France, May 2004, pp. 797–802.
-
22)
-
25. Gritli, Y., Tommaso, A.O.D., Miceli, R., et al: ‘Vibration signature analysis for rotor broken bar diagnosis in double cage induction motor drives’. Proc. Fourth Int. Conf. on Power Engineering, Energy and Electrical Drives, Istanbul, Turkey, May 2013, pp. 1814–1820.
-
23)
-
20. Severson, E., Nilssen, R., Undeland, T., et al: ‘Magnetic equivalent circuit modeling of the AC homopolar machine for flywheel energy storage’, IEEE Trans. Energy Convers., 2015, 30, (4), pp. 1670–1678 (doi: 10.1109/TEC.2015.2441040).
-
24)
-
12. Faiz, J., Ebrahimi, B.M., Akin, B., et al: ‘Finite-element transient analysis of induction motors under mixed eccentricity fault’, IEEE Trans. Magn., 2008, 44, (1), pp. 66–74 (doi: 10.1109/TMAG.2007.908479).
-
25)
-
41. Joksimovic, G.M., Riger, J., Wolbank, T.M., et al: ‘Stator-current spectrum signature of healthy cage rotor induction machines’, IEEE Trans. Ind. Electron., 2013, 60, (9), pp. 4025–4033 (doi: 10.1109/TIE.2012.2236995).
-
26)
-
36. Gyftakis, K.N., Kappatou, J.C.: ‘The zero-sequence current as a generalized diagnostic mean in Δ-connected three-phase induction motors’, IEEE Trans. Energy Convers., 2014, 29, (1), pp. 138–148 (doi: 10.1109/TEC.2013.2292505).
-
27)
-
22. Roshanfekr, R., Jalilian, A.: ‘Analysis of rotor and stator winding inter-turn faults in WRIM using simulated MEC model and experimental results’, Electr. Power Syst. Res., 2015, 119, pp. 418–424 (doi: 10.1016/j.epsr.2014.10.018).
-
28)
-
37. Greene, W.H.: ‘Econometric analysis’ (Prentice-Hall, 1993, 5th edn.).
-
29)
-
31. Gorginpour, H., Oraee, H., McMahon, R.A.: ‘A novel modeling approach for design studies of brushless doubly fed induction generator based on magnetic equivalent circuit’, IEEE Trans. Energy Convers., 2013, 28, (4), pp. 902–912 (doi: 10.1109/TEC.2013.2278486).
-
30)
-
29. Boughrara, K., Ibtiouen, R.: ‘Analytical modeling of double cage rotor induction motors in healthy and broken bars conditions’. Proc. Int. Conf. on Electrical Sciences and Technologies in Maghreb (CISTEM), Maghreb, November 2014.
-
31)
-
23. Daviu, J.A., Guasp, M.R., Llins, J.P., et al: ‘Detection of broken outer-cage bars for double-cage induction motors under the startup transient’, IEEE Trans. Ind. Appl., 2012, 48, (5), pp. 1539–1548 (doi: 10.1109/TIA.2012.2210173).
-
32)
-
24. Gritli, Y., Lee, S.B., Filippetti, F., et al: ‘Advanced diagnosis of outer cage damage in double-squirrel-cage induction motors under time-varying conditions based on wavelet analysis’, IEEE Trans. Ind. Appl., 2014, 50, (3), pp. 1791–1800 (doi: 10.1109/TIA.2013.2285958).
-
33)
-
5. Ostvic, V.: ‘Dynamic of saturated electric machines’ (Springer-Verlag, New York, NY, 1989).
-
34)
-
22. Naderi, P.: ‘Inter-turn short-circuit fault detection in saturable squirrel-cage induction motor using magnetic equivalent circuit model’, Int. J. Comput. Math. Electr. Electron. Eng., 2016, 35, (1), pp. 245–269 (doi: 10.1108/COMPEL-08-2015-0297).
-
35)
-
21. Wang, R., Pekarek, S., Bash, M.L., et al: ‘Incorporating dynamics in a mesh-based magnetic equivalent circuit model of synchronous machines’, IEEE Trans. Energy Convers., 2015, 30, (3), pp. 821–832 (doi: 10.1109/TEC.2015.2403773).
-
36)
-
1. Smith, A.C., Williamson, S., Smith, J.R.: ‘Transient currents and torques in wound-rotor induction motors using the finite-element method’, IEE Proc. B, Electr. Power Appl., 1990, 137, (3), pp. 160–173 (doi: 10.1049/ip-b.1990.0017).
-
37)
-
12. Lubin, T., Hamiti, T., Razik, H., et al: ‘Comparison between finite-element analysis and winding function theory for inductances and torque calculation of a synchronous reluctance machine’, IEEE Trans. Magn., 2007, 43, (8), pp. 3406–3410 (doi: 10.1109/TMAG.2007.900404).
-
38)
-
32. Gomez-Gonzalez1, M., Jurado1, F., Perez, I.: ‘Shuffled frog-leaping algorithm for parameter estimation of a double-cage asynchronous machine’, IET Electr. Power Appl., 2012, 6, (8), pp. 484–490 (doi: 10.1049/iet-epa.2011.0262).
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-epa.2016.0782
Related content
content/journals/10.1049/iet-epa.2016.0782
pub_keyword,iet_inspecKeyword,pub_concept
6
6