This article is devoted to the analysis of components of variance of the results of measurements of dielectric dissipation factor of insulation layers between the conductive elements of the construction of three core power cables with paper impregnated insulation in a common sheath. The analysis of components of variance was carried out by applying presented relations for the direct calculation of the dielectric dissipation factor. The accuracy of presented relations for the calculation of variance components was verified. The results of carried out analysis have shown that the variance of the dielectric dissipation factor measurements is mostly determined by the variances of multiplication of measurements of aggregate values of dielectric dissipation factor and coefficients depending on the partial capacitances of tested three core cable.
[1] J. C. Fothergill, T. Liu, S. J. Dodd, L. A. Dissado, U. H. Nilsson “The measurement of very low conductivity and dielectric loss in XLPE cables: a possible method to detect degradation due to thermal aging” IEEE Transactions on Dielectrics and Electrical Insulation, vol. 18 no. 5, pp. 1544- 1553, 2011.
https://doi.org/10.1109/TDEI.2011.6032823
[2] A. Ponniran, M. S. Kamarudin, “Study of the performance of underground XLPE cables in service based on tan delta and capacitance measurements”. Proc. of 2 IEEE International Conference on Power and Energy. Johor Bahru, Malaysia, pp. 39-43, 2008.
https://doi.org/10.1109/PECON.2008.4762442
[3] D. Bolliger, “Simultaneous partial discharge and tan delta measurements” Proc. of 2018 IEEE/PES Transmission and Distribution Conference and Exposition Denver, USA, pp. 38-42, 2018.
https://doi.org/10.1109/TDC.2018.8440325
[4] G. V. Bezprozvannych, A. G. Kyessayev “Relaxations losses in polyethylene insulation of coaxial cable structure during aging in high humidity conditions” Electrical Engineering & Electromechanics, no. 2, 38-42, 2016.
https://doi.org/10.20998/2074-272X.2016.2.07
[5] G. V. Bezprozvannych, I. A. Mirchuk “The evaluation of the possibility of the normal operation of cables based on twisted pairs with PVC jacket under the conditions of high humidity and temperature” Electrical Engineering & Electromechanics, no.5, pp. 49-53, 2017.
DOI: 10.20998/2074- 272X.2017.5.08
[6] G. V. Bezprozvannych, E.S. Moskvitin “Estimation criteria for degree of paper-impregnated insulated power cable aging” Electrical Engineering & Electromechanics, no. 4, pp. 32 – 36, 2013 (in Russian) 56 Measuring equipment and metrology. Vol. 82, No. 2, 2021.
[7] B. G. Naboka, G. V. Bezprozvannych, A.S. Shtangej, O.N. Radchenko “Method for direct measurements of the partial capacitance parameters of multicore cables” Bulletin of NTU «KhPІ», no. 42, pp. 80 – 86, 2005 (in Russian)
[8] G.V. Bezprozvannych “Dielectric scanning of the transverse structure of multicore cables using the cumulative measurement method” Technical Electrodynamics, no. 3, pp. 30 – 36, 2008 (in Russian)
[9] E.T. Volodars’kij, V.V. Kuharchuk, V. O. Podzharenko. Metrological support of measurements and control. Tutorial. Vinnytsia: VDTU Publ, 2001, 219 p. (in Ukrainian)
[10] B. G. Naboka, G. V. Bezprozvannych, S. V. Rudakov “Analysis of the stability of the method for restoring the parameters of the equivalent circuit of a three-phase cable from the results of indirect measurements”, Information Processing Systems, Vol. 20, no. 4, pp. 192 – 197, 2002 (in Russian)
[11] E.S. Moskvitin “Control of processes of power cables with paper impregnated insulation aging by measurements of dielectric properties of insulation layers” Bulletin of NTU «KhPІ», no. 3, pp. 95 – 106, 2011 (in Russian)
[12] G. V. Bezprozvannych, S. V. Rudakov, E.S. Moskvitin. Prevention of emergencies by monitoring the state of the insulation of multicore cables by the parameters of partial capacitances and the tangent of the angle of dielectric losses. Kharkiv: «Urban publ.», 2013, 132 p. (in Russian)
[13] G. V. Bezprozvannych, E.S. Moskvitin, A. G. Kyessayev “The absorption characteristics of the phase and zone impregnated insulation of power cable at direct voltage” Electrical Engineering & Electromechanics, no.5, pp. 63-68, 2013 (in Russian).
https://doi.org/10.20998/2074-272X.2015.5.09
[14] E. S. Ventcel'. Probability theory. Publishing House “State publishing house of physical and mathematical literature”, 1958, 464 C. (in Russian)
[15] V. P. Kotel'nikov “Calculation of the variance of the product of two correlated random variables” Review of Applied and Industrial Mathematics, Vol. 24, no.1, p. 54, 2017 (in Russian).