A General Method to Compute the Electric Flux Lines between Two Magnet Wires in Close Contact and Its Application for the Evaluation of Partial Discharge Risks in the Slots of Electric Machines Embedded in Future Transportation Systems
The sizing of the Electrical Insulation System (EIS) is an important
challenge in electric motors of higher specific power
driven by faster inverters. That keeps increasing the electric stress which the winding is submitted in the stator
slot. Consequently, Partial Discharges (PD) are more likely to occur. Nowadays, the Paschen’s criterion is widely used to
evaluate the risk of partial discharge. It requires the knowledge of electric field lines. This paper presents a method
to precisely compute the electric field lines in a two-dimensional (2D)
electrostatic problem. The field of study is composed of two magnet wires in
close contact. Such configuration is representative of the turn-to-turn interaction in an electric motor slot. The problem
is solved using the scalar potential formulation only. The notion of flux tubes
is used for the post processof the electric field lines in a developed numerical code on Matlab. The
developed method is compared to a
References
[1]
(1992) Agenda 21 (Rio Declaration on Environment and Development). 79.
[2]
International Energy Agency (2018) IEA World Energy Outlook 2018.
[3]
International Transport Forum, OECD iLibrary (2017) ITF Transport Outlook 2017.
[4]
Organization of the Petroleum Exporting Countries (2018) OPEC World Oil Outlook 2040.
[5]
World Health Organization (2019) WHO Health and Sustainable Development: Transport and Health Risks.
[6]
Rodrigue, J.P., Comtois, C. and Slack, B. (2017) The Geography of Transports Systems. 4th Edition, Routledge, New York. https://doi.org/10.4324/9781315618159
[7]
Robinson, J. (2019) Collins Aerospace Building $67M Electric Aircraft Lab. Wings Mag.
[8]
Sarlioglu, B. and Morris, C.T. (2015) More Electric Aircraft: Review, Challenges, and Opportunities for Commercial Transport Aircraft. IEEE Transactions on Transportation Electrification, 1, 54-64. https://doi.org/10.1109/TTE.2015.2426499
[9]
Hemmati, R., Wu, F. and El-Refaie, A. (2019) Survey of Insulation Systems in Electrical Machines. 2019 IEEE International Electric Machines & Drives Conference (IEMDC), San Diego, May 2019, 2069-2076. https://doi.org/10.1109/IEMDC.2019.8785099
[10]
Szczepanski, M. (2019) Development of Methods Allowing the Test and the Comparison of Low-Voltage Motors Insulation Systems Running under Partial Discharges (Fed by Inverter). 214.
[11]
MATLAB, 9.3.0.713579 (R2017b). The MathWorks Inc.
[12]
Ren, Z. (2003) 2-D Dual Finite-Element Formulations for the Fast Extraction of Circuit Parameters in VLSI. IEEE Transactions on Magnetics, 39, 1590-1593. https://doi.org/10.1109/TMAG.2003.810548
[13]
Parent, G., Duchesne, S. and Dular, P. (2017) Determination of Flux Tube Portions by Adjunction of Electric or Magnetic Multivalued Equipotential Lines. IEEE Transactions on Transportation Electrification, 53, 1-4. https://doi.org/10.1109/TMAG.2017.2661401
[14]
Parent, G., Rossi, M., Duchesne, S. and Dular, P. (2019) Determination of Partial Discharge Inception Voltage and Location of Partial Discharges by Means of Paschen’s Theory and FEM. IEEE Transactions on Transportation Electrification, 55, 1-4. https://doi.org/10.1109/TMAG.2019.2902374
[15]
Whittaker, T.M. (1977) Mon Weather.
[16]
Horowitz, E.J. (1990) A General Field-Line Plotting Algorithm. Journal of Computational Physics, 4, 418. https://doi.org/10.1063/1.168384
[17]
Ansys® Academic Research Mechanical, Release 16.1.
[18]
Dhatt, G. and Touzot, G. (1981) Une présentation de la méthode des éléments finis, Les Presses de l’Université Laval. Québec, et Maloine, Paris.
[19]
Collin, P., Malec, D. and Lefevre, Y. (2019) About the Relevance of Using Paschen’s Criterion for Partial Discharges Inception Voltage Estimation When Designing the Electrical Insulation System of Inverter Fed Motors. Electrical Insulation Conference (EIC), Calgary, 16-19 June 2019, 513-516. https://doi.org/10.1109/EIC43217.2019.9046558
