Dimensional analysis of partial discharge initiated by a metallic particle adhering to the spacer surface in a gas-insulated system
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Abstract
Partial discharges (PDs) constitute important phenomena in a Gas-Insulated System (GIS) that warrant recognition (and, subsequently, mitigation) as they are obvious symptoms of system degradation. This paper proposes the application of dimensional analysis, based on Buckingham pi theorem, for characterizing PDs provoked by the presence of metallic particles adhering to the spacer surface in a GIS employing SF6 (Sulphur hexafluoride). The ultimate goal of the analysis is to formulate the relationships that express three PD indicator quantities, namely current, charge, and energy, in terms of six independent quantities that collectively influence these indicators. These six quantities (henceforth referred to as the influencing, determining or affecting variables) include the level of applied voltage, the SF6 pressure, the length and position of the particle on the spacer, the duration of voltage application, and the gap between electrodes. To compute the pertinent dimensionless products, we implement three computational methods based on matrix operations. These three methods produce exactly the same dimensionless products, which are subsequently used for constructing the models depicting the relationships between each of the three PD dependent quantities and the common six determining variables. The models derived provide partial quantitative information and facilitate qualitative reasoning about the considered phenomenon.
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References
H. S. Jain. Gas-Insulated Sub-Station/Switchgear (GIS). in Handbook of Switchgears, S. R. K. Shukla, S. Indrapal, and S. S. G. Deshpande, Eds. New York, NY: The McGraw-Hill Companies, 2007.
M. A. Haseeb and M. J. Thomas, Disconnector switching induced transient voltage and radiated fields in a 1100 kV gas insulated substation, Electr. Power Syst. Res. 161 (2018) 86–94.
M. M. Morcos, S. A. Ward, H. Anis, K. D. Srivastava, and S. M. Gubanski, Insulation integrity of GIS / GITL systems and management of particle contamination, IEEE Electr. Insul. Mag., 16 (2000) 25-37.
I. A. Metwally, Status review on partial discharge measurement techniques in gas-insulated switchgear/lines, Electr. Power Syst. Res. 69 (2004) 25-36.
H. Okubo, K. Nishizawa, T. Okusu, N. Hayakawa, and F. Endo, Partial discharge detection techniques under the Condition of metallic particle adhering to solid spacer in SF6, Electrical Insulation and Dielectric Phenomena, Ann. Rep. Conf., Quebec, QC, Canada, 2008, pp. 395-399.
F. N. Budiman, Y. Khan, A. A. Khan, A. Beroual, and N. H. Malik, Dependence of particle initiated PD characteristics on size and position of metallic particle adhering to the spacer surface in GIS, Int. J. Electr. Comput. Eng. 7 (2013) 349-353.
Y. Khan, F. N. Budiman, A. Beroual, N. H. Malik, and A. A. Al-Arainy, The estimation of size and position of contaminating particle adhering to the insulating spacer surface in gas-insulated systems, Eur. Phys. J. Appl. Phys. 62 (2013) 20801.
F. N. Budiman, Y. Khan, A. A. Al-Arainy, N. H. Malik, and A. Beroual, Estimation of particle initiated PD inception voltage around spacer in GIS, Power Engineering, Energy and Electrical Drives, Int. Conf., Istanbul, Turkey, 2013, pp. 517-521.
F. Gu, Identification of Partial Discharge Defects in Gas-Insulated Switchgears by Using a Deep Learning Method, IEEE Access 8 (2020) 163894–163902.
Y. Wang, J. Yan, Z. Yang, T. Liu, Y. Zhao, and J. Li, Partial Discharge Pattern Recognition of Gas-Insulated Switchgear via a Light-Scale Convolutional Neural Network, Energies 12 (2019) 1–19.
V. Tuyet-Doan, H. Pho, B. Lee, and Y. Kim, Deep Ensemble Model for Unknown Partial Discharge Diagnosis in Gas-Insulated Switchgears Using Convolutional Neural Networks, IEEE Access 9 (2021) 80524–80534.
J. Tang, Q. Zhou, M. Tang, and Y. Xie, Study on Mathematical Model for VHF Partial Discharge of Typical Insulated Defects in GIS, IEEE Trans. Dielect. Elec. Insul. 14 (2007) 30–38.
Y. Wang, J. Yan, Q. Sun, J. Li, and Z. Yang, A MobileNets Convolutional Neural Network for GIS Partial Discharge Pattern Recognition in the Ubiquitous Power Internet of Things Context: Optimization, Comparison, and Application, IEEE Access 7 (2019) 150226–150236.
Z. Xin and Q. Jiangtao, De-noising of GIS UHF Partial Discharge Monitoring based on Wavelet Method, Proc. Env. Sci. 11 (2011) 1302–1307.
X. Li, Z. Wang, X. Wang, M. Rong, and D. Liu, Chromatic processing for feature extraction of PD-induced UHF signals in GIS, Glob. Ener. Intercon. 3 (2020) 494–503.
N. Gupta and T. S. Ramu, Estimation of Partial Discharge Parameters in GIS using Acoustic Emission Techniques, J. Sou. Vibr. 247 (2001) 243–260.
I. Wahyudi and A. Sakti, Analyzing the profit-loss sharing contracts with Markov model, Comm. Sci. Tech. 1 (2016) 78–88.
H. Xia, J. Zhang, G. Du, H. Pan, W. Duan, and X. She, Aeolian sand bearing capacity in the Mu Us Desert of China based on the California Bearing Ratio, J. Eng. Res. 8 (2020) 28-41.
M. Mohammadzaheri, A. Firoozfar, D. Mehrabi, M. Emadi, and A. Alqallaf, Temperature estimation for a point of an infrared dryer using temperature of neighbouring points: An artificial neural network approach, J. Eng. Res. 7 (2019) 138-150.
J. O. Oladigbolu and A. M. Rushdi, Investigation of the Corona Discharge Problem Based on Different Computational Approaches of Dimensional Analysis, J. Eng. Res. Rep. 15 (2020) 17–36.
M. A. Rushdi and A. M. Rushdi, Matrix Dimensional Analysis for Electromagnetic Quantities, Int. J. Math. Eng. Man. Sci. 6 (2021) 636–644.
S. M. Hoek, S. Coenen, M. Bornowski, and S. Tenbohlen, Fundamental differences of the PD measurement according to IEC 60270 and in UHF range, Condition Monitoring and Diagnosis, Int. Conf., Beijing, China, 2008, pp. 79-81.
E. Lemke et al., Guide for Electrical Partial Discharge Measurements on Compliance to IEC 60270, Electra 241 (2008) 60-68.
S. U. Haq, L. H. A. Teran, M. K.W. Stranges, andW. Veerkamp, What can go wrong during stator coil partial discharge measurements according to IEC 60270?, 11th PCIC Europe, Amsterdam, Netherlands, 2014, pp. 1-5.
S. U. Haq, M. K. W. Stranges, and B. Wood, Comparative study of IEC 60270 compliant instruments for partial discharge pattern acquisition, PCIC Tech. Conf. PCIC, Philadelphia, PA, USA, 2016, pp. 1-8.
T. Kita, Y. Uosaki, and T. Moriyoshi, Static relative permittivity of sulfur hexafluoride up to 30 MPa, Berichte der Bunsengesellschaft/Phys. Chem. 98 (1994) 112-118.
S.-Y. Woo, D.-H. Jeong, K.-B. Seo, and J.-H. Kim, A study on dielectric strength and insulation property of SF6/N2 mixtures for GIS, J. Int. Counc. Electr. Eng. 2 (2012) 104-109.
J. J. Sharp and E. Moore, A systematic approach to the development of echelon matrices for dimensional analysis, Int. J. Math. Educ. Sci. Technol. 19 (1988) 461-467.
M. A. Rushdi and A. M. Rushdi, On the fundamental masses derivable by dimensional analysis, J. KAU Eng. Sci. 27 (2016) 35-42.
R. Bhaskar and A. Nigam, Qualitative physics using dimensional analysis, Artif. Intell. 45 (1990) 73-111.
W. H. Middendorf, Use of Dimensional Analysis in Present Day Design Environment, IEEE Trans. Educ. E-29 (1986) 190-195.
J. J. Sharp and E. Moore, Partial analysis and matrix methods, Int. J. Math. Educ. Sci. Technol. 14 (1983) 393-402.
A. M. Rushdi, Development of modified nodal analysis into a pedagogical tool, IEEE Trans. Educ. E-28 (1985) 17-25.