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Power transformer temperature–moisture dynamics modeling: an experimental validation

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Abstract

Moisture and temperature are the main factors that affect the life expectancy of liquid-immersed power transformers. These factors speed up the aging process of cellulose insulation, worsening its physio-chemical properties and increasing the risk of faults in the transformer. Recently, a multi-physical modeling approach was reported aimed at estimating the temperature and moisture dynamics of transformer insulation for different loading conditions. The model objective was to evaluate how the moisture dynamics between oil and paper insulation might affect the loading capability of the transformer. Although the model is based on the representation and analysis of concrete regions of the oil–paper insulation, it could also be useful for the estimation of the moisture content of the solid insulation in moisture monitoring systems; however, the modeling had not been experimentally validated due to the difficulty of measuring the moisture in cellulose insulation during transformer operation. In this work, an experiment was designed and developed to carry out the experimental validation of the model and to evaluate the possibility of applying it for moisture monitoring purposes. Moisture dynamics experiments were carried out in an experimental test plant; the evolution of the moisture content throughout the experiment was assessed by direct measure and with dielectric response measurements. The experimental conditions were simulated with the model, and the estimated and measured moisture contents were compared. A detailed analysis was carried out to evaluate the precision of the model and to identify possible sources of error and improvements that may be implemented to improve its accuracy.

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References

  1. Abu-Siada A et al (2018) Power Transformer Condition Monitoring and Diagnosis. Institution of Engineering and Technology

  2. International Electrotehnical Comission (IEC) (2018) Power transformers—part 7: loading guide for mineral-oil-immersed power transformers. IEC 60076–7:1–89

    Google Scholar 

  3. IEEE C57–91 (2012) IEEE Guide for Loading Mineral-Oil-Immersed Transformers and Step-Voltage Regulators. IEEE Standards

  4. CIGRÉ 738. (CIGRÉ WG D1.53) (2018) Ageing of liquid impregnated cellulose for power transformers

  5. Vasovic V, Lukic J, Mihajlovic D et al (2019) Aging of transformer insulation—experimental transformers and laboratory models with different moisture contents: part I—DP and furans aging profiles. IEEE Trans Dielectr Electr Insul 26:1840–1846. https://doi.org/10.1109/TDEI.2019.008183

    Article  Google Scholar 

  6. Martin D, Cui Y, Ekanayake C et al (2015) An updated model to determine the life remaining of transformer insulation. IEEE Trans Power Deliv 30:395–402. https://doi.org/10.1109/TPWRD.2014.2345775

    Article  Google Scholar 

  7. de Carvalho Sousa FR, de Jesus RC, Pereira Marques A, da Cunha BL (2020) Method for rating and analyzing the combined effects of moisture and temperature on the oil–paper insulation system of power transformers by means of load variations. J Control Autom Electr Syst. https://doi.org/10.1007/s40313-020-00607-7

    Article  Google Scholar 

  8. Vasovic V, Lukic J, Mihajlovic D et al (2019) Aging of transformer insulation of experimental transformers and laboratory models with different moisture contents: Part II—moisture distribution and aging kinetics. IEEE Trans Dielectr Electr Insul 26:1847–1852. https://doi.org/10.1109/TDEI.2019.008184

    Article  Google Scholar 

  9. Saha TK, Purkait P (2008) Understanding the impacts of moisture and thermal ageing on transformer’s insulation by dielectric response and molecular weight measurements. Dielec Electr Insulat IEEE Trans 15:568–582

    Article  Google Scholar 

  10. CIGRÉ 254 (Task Force D1.01.09) (2004) Dielectric Response Methods for Diagnostics of Power Transformers

  11. Martin D, Perkasa C, Lelekakis N (2013) Measuring paper water content of transformers: a new approach using cellulose isotherms in nonequilibrium conditions. Power Deliv IEEE Trans 28:1433–1439

    Article  Google Scholar 

  12. CIGRÉ 349 (CIGRE WG A2. 30) (2008) Moisture Equilibrium and Moisture Migration Within Transformer Insulation Systems

  13. Villarroel R, García de Burgos B, García DF (2021) Moisture dynamics in natural-ester filled transformers. Int J Electr Power Energy Syst 124:106172. https://doi.org/10.1016/j.ijepes.2020.106172

    Article  Google Scholar 

  14. Cui Y, Ma H, Saha T et al (2016) Multi-physics modelling approach for investigation of moisture dynamics in power transformers. IET Gener Transm Distrib 10:1993–2001. https://doi.org/10.1049/iet-gtd.2015.1459

    Article  Google Scholar 

  15. Garcia B, Villarroel R, Garcia D (2019) A Multiphysical model to study moisture dynamics in transformers. IEEE Trans Power Deliv. https://doi.org/10.1109/TPWRD.2019.2899363

    Article  Google Scholar 

  16. Correa W, Cespedes A, Garcia D (2017) Temperature control experimental plant for moisture model assessment in power transformers. In: 2017 IEEE 3rd colombian conference on automatic control, CCAC 2017—conference proceedings

  17. Villaroel R (2015) Moisture dynamics in transformers insulated with natural esters. Universidad Carlos III de Madrid, Getafe

    Google Scholar 

  18. García DF, Villarroel RD, García B, Burgos JC (2016) Effect of the thickness on the water mobility inside transformer cellulosic insulation. IEEE Trans Power Deliv 31:955–962. https://doi.org/10.1109/TPWRD.2015.2393294

    Article  Google Scholar 

  19. Radakovic ZR, Sorgic MS (2010) Basics of detailed thermal-hydraulic model for thermal design of oil power transformers. IEEE Trans Power Deliv 25:790–802

    Article  Google Scholar 

  20. Radakovic Z, Cardillo E, Feser K (2002) Temperature Distribution in Windings of Transformers with natural Oil circulation. In: 15th international conference on electrical machines (ICEM)

  21. Santisteban A, Piquero A, Ortiz F et al (2019) Thermal modelling of a power transformer disc type winding immersed in mineral and ester-based oils using network models and CFD. IEEE Access 7:174651–174661. https://doi.org/10.1109/ACCESS.2019.2957171

    Article  Google Scholar 

  22. Keenan JH, Keyes FG, Hill PG, Moore JG (1978) Steam tables: thermodynamic properties of water including vapor, liquid, and solid phases. A Wiley Interscience Publication J Wiley & Sons Inc, New York

    Google Scholar 

  23. Oommen TV (1983) Moisture equilibrium in paper-oil insulation systems. In: 1983 EIC 6th Electrical/Electronical Insulation Conference, pp 162–166

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Funding

This work was supported by Universidad del Valle and the Colombian Ministry of Science, Technology, and Innovation through the project "Experimental validation of a multi-physical model of moisture temperature diffusion to estimate the moisture dynamics in cellulosic insulation of power transformers" Grant: 2857 and "Online monitoring system to estimate the power transformers useful life" Grant: 110671550932. The paper was prepared during the secondment of Diego García in the University of Cantabria in the frame of Biotrafo project Grant Agreement No 823969.

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WC and DG did conceptualization and methodology, experimental development and writing—original draft preparation; W.C. done model implementation; W.C., B.G., and D.G. were involved in experimental result analysis and model validation and writing–review and editing; D.G. supervised the article and project administration.

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Correspondence to Diego García.

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Correa, W., García, D. & García, B. Power transformer temperature–moisture dynamics modeling: an experimental validation. Electr Eng 105, 761–773 (2023). https://doi.org/10.1007/s00202-022-01696-0

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