An Experimental Study Followed by a Development and a Comparison of Regression Models for Predicting TJ Electric Discharge in Insulators

Saim, Nabila; Bitam-Megherbi, Ferroudja

doi:10.52547/mjee.15.3.45

Document Type : Review Article

Authors

¹ Laboratory of Electrical Engineering Advanced Technologies (LATAGE), Faculty of Electrical Engineering and Computer Science, Department of Electrical Engineering, Mouloud Mammeri University, BP 17 RP, Tizi Ouzou, Algeria.

² Faculty of Electrical Engineering and Computer Science, Department of Electrical Engineering, Mouloud Mammeri University

https://doi.org/10.52547/mjee.15.3.45

Abstract

Analyzes of electric discharge are sometimes tedious and relatively expensive. To overcome this problem, some scientists are working on variance analysis projects. The article presents the results of an electric discharge experiment performed on silicone, porcelain and heat tempered glass insulators at Triple Junction (TJ). The objective of this study is to develop a polynomial and Gaussian simple regression model (Polynomial Simple Linear Regression (SLR) model and Gaussian simple nonlinear regression model) considering different parameters by analyzing the observed quantitative data. The dependent variable or variable to be explained (discharge current) is a function of four independent variables (explanatory variables): voltage application time (t), solid insulator surface condition: net surface (t’), worn rubbed surface with sandpaper (t’’) and active electrode diameter (diam). Indeed, this study sets up precise prediction models generating good estimates of the studied variables values. A polynomial SLR model is proposed capable of predicting electric discharge with an adjusted coefficient of determination (R2 adj) of 0.9774 for t and t’, 0.9773 for t" and 0.9945 for diam. While (R2 adj) for the Gaussian model reaches 0.9989 for t and t’, 0.9998 for t’’. By considering this, these models are strongly recommended to better understand and characterize the discharge and contribute to the improvement of the insulation and its design for better optimization and high performance.

Keywords

References

[1] S. S. Kulkarni, P. C. Tapre, “Analysis of electric field stresses on spacers in GIS for different ratings”, in 2017 International Conference on Intelligent Computing and Control Systems (ICICCS), Madurai, India, pp. 295-300, 2017.

[2] T. S. Sudarshan and R. A. Dougal, “Mechanisms of surface flashover along solid dielectrics in compressed gases: A review”, IEEE Transactions on Electrical Insulation, Vol. EI-21, No. 5, 1986, pp. 727 – 46.

[3] A. H. Cookson, “Gas-Insulated Cables”, IEEE Transactions on Electrical Insulation, Pittsburgh, Vol. 20, No. 5, pp. 859 – 890, 1985.

[4] W. Pengfei, D. Quanlin, W. Guozeng, L. Junbiao, L. Wenping, “Practical design of triple junction for a 90 kV electron gun”, IEEE Transactions on Dielectrics and Electrical Insulation, Vo. 26 , No. 4, pp. 1043 – 1047, 2019.

[5] R. Kyosu, Y. Yamano, N. Asari, T. Shioiri, K. Matsuo, “Vacuum Surface Flashover Characteristics of the Alumina Insulator with Different Metallized Edge Conditions”, in 2018 28th International Symposium on Discharges and Electrical Insulation in Vacuum (ISDEIV), Greifswald, Germany, pp. 159-162, 2018.

[6] J. H. Song, J. Y. Kim, B. Y. Seok, Y. C. Choi, “Evaluation of discharge characteristics on the triple junction for development of the Gas-Insulated Switchgear”, in 2012 15th International Conference on Electrical Machines and Systems (ICEMS), Sapporo, Japon, 2012.

[7] A. Goldman, M. Goldman, E. Odic and Ph. Dessante, “Partial discharges inception and ageing effects in a gas insulated HV equipment”, in 2008 17th International Conference on Gas Discharges and Their Applications, Cardiff, UK, 2008.

[8] M. Toepler, “T~ber die physikalischen Grundgesetze der in der Isolatorentechnik auftretenden elektrischen Gleiterscheinungen”, Arch. Elektrotech, Vol. 157, No. 10, 1921.

[9] K. R. Venna, H. H. Schramm, “Simulation Analysis on Reducing the Electric Field Stress at the Triple Junctions & on the Insulator Surface of the High Voltage Vacuum Interrupters”, in XXVI International Symposium On Discharges and Electrical Insulation in Vacuum (ISDEIV), Mumbai, India, pp. 53-56. 2014.

[10] A. Sobota, A. Lebouvier, N. J. Kramer, E. M. Veldhuizen, W. W. Stoffels, F. Manders and M. Haverlag, “Speed of streamers in argon over a flat surface of a dielectric”, Journal of Physics D: Applied Physics, Vol. 42, 2009.

[11] J. E. Lauer, C. J. Lauer, “Electron avalanche on a dielectric-vacuum interface”, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 24, No. 2, pp. 1295 - 1299, 2017.

[12] W. Pengfei, D. Quanlin, W. Guozeng, L. Junbiao, L. Wenping, “Practical design of triple junction for a 90 kV electron gun”, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 26, No. 4 , pp. 1043 – 1047, 2019.

[13] L. Zeghichi, L. Mokhnache, M. Djebabra, “The Monte Carlo Method for the Study of an Electrical Discharge”, in 2013 IEEE International Conference on Solid Dielectrics, Bologna, Italy, pp. 636 – 639, 2013.

[14] Li. Junhao, Si. Wenrong, Y. Xiu, L. Yanming, “Partial discharge characteristics over differently aged oil/pressboard interfaces”, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 16, No. 6 , pp. 1640 – 1647, 2009.

[15] T. S. Sudarshan and R. A. Dougal, “Mechanisms of Surface Flashover Along Solid Dielectrics in Compressed Gases: a Review”, IEEE Transactions on Electrical Insulation, Vol. EI-21, No. 5, pp. 727 – 746, 1986.

[16] A. Zeeshan , R. C. Mojtaba, Y. Kamran, K. Joni, “Multivariate Time Series Modeling for Long Term Partial Discharge Measurements in Medium Voltage XLPE Cables”, in 2019 Electrical Insulation Conference (EIC), Calgary, Alberta, Canada, pp. 344 – 347, 2019.

[17] D. E. Bruno, E. Barca, R. M. Goncalves, H. A. de A. Queiroz, L. Berardi, G. Passarella, “Linear and evolutionary polynomial regression models to forecast coastal dynamics”, Comparison and reliability assessment, Geomorphology, Vol. 300, pp. 128–140, 2018.

[18] D. J. Olive, “Multiple linear regression”, Linear Regression, Springer, Cham, pp. 17-83, 2017.

[19] E. A. Khailenko, E. P. Arhipenko, “Development of Robust Methods for Estimating Parameters of Polynomial Structural Dependencies”, in 2018 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE), Novosibirsk, Russia, pp. 115-117, 2018.

[20] A. F. L. Lopera, F. Bachoc, N. Durrande, J. Rohmer, D. Idier, O. Roustant, “Approximating Gaussian Process Emulators with Linear Inequality Constraints and Noisy Observations via MC and MCMC”, in book: Monte Carlo and Quasi-Monte Carlo Methods, Rennes, France, pp. 363-381, 2020.

[21] S. Da. Veiga, A. Marrel, “Gaussian process regression with linear inequality constraints”, Reliability Engineering and System Safety, Vol. 195, pp. 1 -13, 2020.

[22] D. W. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters”, Journal of the Society for Industrial and Applied Mathematics, Vol. 11, No. 2, pp. 431 – 441, 1963.

[23] M. A. HANDALA and O. LAMROUS, “Surface degradation of styrene acrylonitrile exposed to corona discharge”, EUROPEAN TRANSACTIONS ON ELECTRICAL POWER, Vol. 18, pp. 494 – 505, 2008.

[24] J. Martinez-Vega, “Dielectric materials for electrical engineering 1: properties, aging and modeling”, Hermes Science/Lavoisier, Paris, France, 2007. (In French)

[25] J. P. Habas, J. M. Arrouy, F. Perrot, “Effects of electric partial discharges on the rheological and chemical properties of polymers used in HV composite insulators after railway service”, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 16, No. 5, pp. 1444 – 1454, 2009.

[26] P. Robert, “Electrotechnical materials”, Collection: electricity treaty, 1999.

[27] M. Levesque, É. David, C. Hudon and M. Belec, “Effect of surface degradation on slot partial discharge activity”, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 17, No. 5, pp. 1428 – 1440, October 2010.

[28] J. Lewis, T. S. Sudarshan, J. E. Tompson, D. Lee, R. A. Dougal, “Pre-breakdown and breakdown phenomena of electric surface in vacuum and nitrogen gaz stressed by 60 Hz voltage”, in IEEE Conference Record-International Phenomena in Practical Systems, Gaithsburg, MD, USA, pp. 19-20, 1988.

[29] M. U. Siddiqui, N. Hershkowitz, R. Bonazza, “An investigation of micron diameter exposed-electrode single barrier dielectric barrier discharges”, in Abstracts IEEE International Conference On Plasma Science 2011, Chicago, IL, USA, pp. 1-1, Jun. 2011.

[30] G. D’Urso and C. Ravasio, “The effects of electrode size and discharged power on micro-electro-discharge machining drilling of stainless steel”, Advances in Mechanical Engineering, Vol. 8, No. 5, pp. 1-12, 2016.

[31] M. N. Lyulyukin, A. S. Besov, A.V. Vorontsov, “The Inﬂuence of corona Electrodes Thickness on the Efﬁciency of Plasma chemical Oxidation of Acetone”, Plasma Chem Plasma Process, Vol. 31, pp. 23-39, 2011.

[32] A. Capozzoli, D. Grassi, F. Causone, “Estimation models of heating energy consumption in schools for local authorities planning”, Energy Build, Vol. 105, No. 15, pp. 302-313, 2015.

[33] A. Jagannath, T. Tsuchido, “Validation of a polynomial regression model: the thermal inactivation of Bacillus subtilis spores in Milk”, Letters in Applied Microbiology, Vol. 37, pp. 399 –404, 2003.

[34] L. Martino, V. Laparra, G. Camps-Valls, “Probabilistic Cross-Validation Estimators for Gaussian Process Regression”, in 2017 25th European Signal Processing Conference (EUSIPCO), Kos, Grèce, pp. 823-827.8, 28 août-2 septembre 2017.

Majlesi Journal of Electrical Engineering

An Experimental Study Followed by a Development and a Comparison of Regression Models for Predicting TJ Electric Discharge in Insulators

References

References

Volume 15, Issue 3 - Serial Number 3
September 2021
Pages 45-55

An Experimental Study Followed by a Development and a Comparison of Regression Models for Predicting TJ Electric Discharge in Insulators

References

References

Volume 15, Issue 3 - Serial Number 3September 2021Pages 45-55

Volume 15, Issue 3 - Serial Number 3
September 2021
Pages 45-55