Evaluation of heat mode parameters of 10 kV cable lines in different operation conditions

This paper presents a methodology for calculating thermal modes of 10 kV cable lines (CL) for different types of insulation and operating conditions, and analyzes using approximation functions of the obtained results. Regression models of dependences of estimated service life (Tsl) of CL insulation on loading factor (kzg) in different operating conditions of CL with the following types of insulation: paper-impregnated insulation (PI), insulation made of polyvinyl chloride plasticate (PVC) and insulation made of polyethylene (PE) have been developed. The results of the study can be used to clarify the parameters of CLs when selecting their cross sections. Application of the developed methodology for estimation of temperature parameters and regulation of CL operation modes will allow to reduce the number of emergency situations connected with thermal breakdowns. OBJECTIVE. To carry out research, analysis and calculations of temperature parameters of 10 kV CLs for different kzg and methods of laying in climatic conditions of the Republic of Tatarstan. METHODS. Methods of calculation of thermal parameters of 10 kV CLs in different modes and their service life, methods of statistical data processing in the Excel program complex and methods of function approximation are used. RESULTS. As a result of researches the temperature parameters of 10 kV CLs with different types of insulation for different operating conditions have been obtained, regression models of dependences of the calculated Tsl of insulation on kzg have been constructed, allowing to estimate the thermal characteristics of CLs. CONCLUSION. The results of the conducted researches and calculations can be recommended for estimation and selection of parameters of operating modes of 10 kV CL at the stages of operation and design of power supply systems.

1. Rules for Electrical Installations (PUE. 7th ed. – Section 1, Chapter 1.3 (approved by Order of the Ministry of Energy of Russia № 187 of 20.05.2003).

2. Gracheva, E.I.; Muravyev, G.G. Investigation of the temperature modes and parameters of the cable lines of the electrical equipment of the electrical stations (in Russian) // Science. TECHNOLOGIES. INNOVATIONS. 2020. Vol. 4. Pp. 151-154.

3. Gracheva E.I., Gorlov A.N., Shakurova Z.M., Tabachnikova T.V. Equivalent resistance of industrial electrical networks - as one of the main characteristics in the calculations of electricity losses // Instrumentation and AUTOMATIZED ELECTRICTRIC DIRECTION in the fuel and energy complex and housing and communal services. 2022. Pp. 540-544.

4. Gracheva, E.I.; Shakurova, Z.M.; Abdullazyanov, R.E. Comparative analysis of the most widespread deterministic methods of the electric power losses determination in the shop floor networks (in Russian) // Izvestiya vysokikh uchebnykh obrazovaniye. Problems of power engineering. 2019. № 5. Pp.87- 96.

5. Gracheva, E.I. Development of regression models for the analysis and forecasting of power losses in low-voltage networks / E.I. Gracheva, T.A. Serpionova // Vestnik of KSEU. 2015. № 2(26). Pp. 45-51.

6. Gracheva, E.I.; Naumov, O.V.; Gorlov, A.N. Problems of research of the equivalent resistance of the electrical shop networks of low voltage // Vestnik of KSEU. 2019. №3 (43).

7. Gracheva, E.I.; Gorlov, A.N.; Shakurova, Z.M. Estimation of electric power losses in the in-plant electric networks // Vestnik of PITTU named after academician M. Osimi. 2019. № 4 (13). Pp. 38-50.

8. Korzhov A.V., Korzhov A.V., Sidorov A.I. Methods and models of the insulation state and electrical safety assessment of the 6(10) kV cable lines of the city electric networks: monograph. – Chelyabinsk: Publishing center of SUSU, 2009. P. 252.

9. Lapidus, A.A.; Solovyova, S.N.; Perfiliev, A.P. Calculation of the heating temperature of the cables of the auxiliary electric motors taking into account the current distribution in the parallel branches (in Russian) // Izvestiya STC UNITED ENERGY SYSTEM.2023. Pp.114-126.

10. Trufanova, N.M.; Kukharchuk, I.B.; Feofilova, N.V. Calculation of the thermal field of the cable channel taking into account the losses in the cable screens (in Russian) // Vestnik of Perm National Polytechnic University. Electrical engineering, information technologies, control systems. 2018. № 28. Pp. 179-193.

11. Trufanova, N.M.; Kazakova, A.V.; Kukharchuk, I.B. Approaches to the representation of the cable lines temperature dependence in the channel from their loading in the form of a parametric model (in Russian) // Bulletin of Perm National Polytechnic University. Electrical engineering, information technologies, control systems. 2021. №40. Pp. 61-75.

12. Biriulin, V.I.; Kudelina, D.V.; Gorlov, A.N. Calculation of the cable insulation heating temperature taking into account the influence of the side-by-side laid cables (in Russian) // Bulletin of the Kazan State Power Engineering University. 2019. Т. 11. № 2 (42). Pp. 56-64.

13. Zalizny, D. I. Mathematical model of thermal processes of a single-core power cable // I. I. Zalizny, S. N. Prokhorenko // Izvestia vysshekh. ucheb. uchebnykh uchebnykh uchebnykh i energeticheskiye ob-nye CIS. Energetics. 2012. № 5. Pp. 25-34.

14. Schmidt, H-P. Efficient Simulation of Thermal and Electrical Behaviour of Industrial Cables / H- P Schmidt // Modelling and simulation. June, 2008. Pp. 523-532.

15. Mamdooh, S. Adaptive Neuro-Fuzzy Inference System for Thermal Field Evaluation of Underground Cable System / S. Mamdooh // Journal of Energy and Power Engineering. 2012. № 6. Pp. 1642- 1650.

16. Millar, R. J. Real-Time Transient Temperature Computation of Power Cables Including Moisture Migration Modelling / R. J. Millar, М. Lehtonen // PSCC, Session 39. Liege. 2005. P. 4.

17. Vahid Abbasi, Hossien Heydari, Faramarz Faghihi. Heuristic mathematical formulations and comprehensive algorithm for optimal decision making for power system cabling // Scientia Iranica D. 2012. № 19(3). Pp. 707-720.

18. Baazzim, M.S., Al-Saud M.S., El-Kady M.A. Comparison of Finite-Element and IEC Methods for Cable Thermal Analysis under Various Operating Environments // International Journal of Electrical, Computer, Energetic, Electronic and Communication Engineering. 2014. Vol. 8. № 3. Pp. 484-489.