Vol. 43
Latest Volume
All Volumes
PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2012-09-07
Description of Multiply Connected Regions with Induced Currents Using T-T0 Method
By
Progress In Electromagnetics Research B, Vol. 43, 279-294, 2012
Abstract
The paper presents the description of multiply connected conducting regions (MCCR) in the finite elements space. In order to define induced currents distribution in multiply connected regions, an innovative method of combined vector potentials T and T0 has been suggested. The equations of T-T0 method have been presented. Moreover, the relations describing sources for the field of induced currents in the discussed regions have been given. The proposed method has been applied to solve Problem No. 7 of the International TEAM Workshops. The selected results of calculation have been compared with the measurement results.
Citation
Rafal M. Wojciechowski, Cezary Jedryczka, Wojciech Szelag, and Andrzej Demenko, "Description of Multiply Connected Regions with Induced Currents Using T-T0 Method," Progress In Electromagnetics Research B, Vol. 43, 279-294, 2012.
doi:10.2528/PIERB12061202
References

1. Biro, O., K. Preis, W. Renhart, K. R. Richter, and G. Vrisk, "Performance of different vector potential formulations in solving multiply connected 3-D eddy current problems," IEEE Trans. Magn., Vol. 26, No. 2, 438-441, 1990.
doi:10.1109/20.106347

2. Biro, O. and K. Richter, "CAD in electromagnetism," Advances in Electronics and Electron Physics, Vol. 82, 1-96, 1991.
doi:10.1016/S0065-2539(08)60911-7

3. Demenko, A., L. Nowak, and W. Szelag, "Reluctance network formed by means of edge element method," IEEE Trans. Magn., Vol. 34, No. 5, 2485-2488, 1998.
doi:10.1109/20.717572

4. Demenko, A., J. K. Sykulski, and R. M. Wojciechowski, "Network representation of conducting regions in 3D finite element description of electrical machines," IEEE Trans. Magn., Vol. 43, No. 6, 714-717, 2008.
doi:10.1109/TMAG.2007.916391

5. Demenko, A., J. K. Sykulski, and R. M. Wojciechowski, "Calculation of induced currents using edge elements and T-T0 formulation," IET Sci., Meas. Tech., Vol. 2, No. 6, 434-439, 2008.
doi:10.1049/iet-smt:20080068

6. Meunier, G., H. T. Luong, and Y. Marechal, "Computation of coupled problem 3D eddy current and electrical circuit by Ω-T-T0 formulation," IEEE Trans. Magn., Vol. 34, No. 5, 3074-3077, 1998.
doi:10.1109/20.717719

7. Nakata, T., N. Takahashi, K. Fujiwara, and Y. Okada, "Improvements of the T-Ω­ method for 3D eddy current analysis," IEEE Trans. Magn., Vol. 24, No. 1, 94-97, 1988.
doi:10.1109/20.43864

8. Nakata, T. and K. Fujiwara, "Results for benchmark problem 7," Compel, Vol. 9, No. 3, 137-154, 1990.
doi:10.1108/eb010074

9. Nowak, L. and A. Demenko, "The 3D coupled field-circuit simulation of transients in converters with conducting solid parts," IEEE Trans. Magn., Vol. 36, No. 4, 1412-1416, 2000.
doi:10.1109/20.877770

10. Stockreiter, C., G. Matzenauer, B. Biro, P. Caldera, G. Paoli, K. Hollaus, K. Preis, and B. Weiß, "Transfinite element method using the A, v-potential formulation with edge elements in the frequency domain," IEEE Trans. Magn., Vol. 43, No. 4, 1349-1352, 2007.
doi:10.1109/TMAG.2006.891008

11. Ren, Z., "Influence of R.H.S. on the convergence behaviour of the curl-curl equation," IEEE Trans. Magn., Vol. 32, No. 3, 655-658, 1996.
doi:10.1109/20.497323

12. Turner, L., et al., "Workshops and problems benchmarking eddy current codes. TEAM Workshops: Test problem 7,", Argonne, Illinois, 1988.

13. Weiß, B. and O. Biro, "On the convergence of transient eddy-current problems," IEEE Trans. Magn., Vol. 40, No. 2, 957-960, 2004.
doi:10.1109/TMAG.2004.825460

14. Wojciechowski, R. M., A. Demenko, and J. K. Sykulski, "Induced currents analysis in multiply connected conductors using reluctance --- Resistance networks," Compel, Vol. 29, No. 4, 908-918, 2010.
doi:10.1108/03321641011044325

15. Wojciechowski, R. M., "Numerical analysis of induced currents in simply and multiply connected regions,", Ph.D. Thesis, Poznan University of Technology, Poznan, 2010.
doi:10.1108/03321641011044325

16. "Comparative analysis of A-V and T-T0 calculations of induced currents in multiply connected regions," Computation in Electromagnetics (CEM 2011), 10-11, Wroclaw, Poland, 2011, online: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6085434&contentType=Conference+Publications&sortType%3Dasc_p_Sequence%26filter%3DAND%28p_IS_Number%3A6085421%-29..