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Determination of Power Flows and Temperature of Electrical Network Wires of a Power System Steady State

  • POWER SYSTEMS AND ELECTRIC NETWORKS
  • Published:
Power Technology and Engineering Aims and scope

The problem of calculating the power flows and wire temperature of the supply network in the steady state mode of a power system is examined. The topology and parameters of the network, and consumption and generation, are presupposed, as well as weather factors affecting the power lines: ambient temperature, solar radiation, and wind direction and speed. Analysis was done of the previously proposed algorithms for solving this problem, which are based on taking into account the temperature dependence of active line resistances. The shortcomings of these algorithms are shown, and a new method of calculating the node voltages that characterize the active resistances and the temperature of the line wires, and power flows in the steady state of the power system. The proposed approach is based on taking into account the influence of node voltages on the active resistances of the wires and the currents of network lines. Computational experiments demonstrate the correctness of the proposed calculation expressions. The results of comparison with the calculated data obtained by the previously considered algorithms are presented. The proposed method can be used to assess the impact of weather factors on the steady state parameters, which are necessary for system operators in the analysis of actual and future schemes of development of electric networks, including taking into account renewable sources of energy (RSE) and distributed generation.

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References

  1. M. Karimi, A. Shahriari, M. R. Aghamohammadi, et al., “Application of newton-based load flow methods for determining steady-state mode of well and ill-conditioned power systems: a review,” Int. J. Elec. Power, 113, 298 – 309 (2019).

    Article  Google Scholar 

  2. V. A. Venikov, V. A. Stroev, V. I. Idelchik, and V. I. Tarasov, “Estimation of electrical power system steady state stability in load flow calculations,” IEEE T. PAS, 94(3), 1034 – 1041 (1975).

    Article  Google Scholar 

  3. V. I. Ayuev, V. V. Davydov, and P. M. Erokhin, “Fast and reliable method of searching power system marginal states,” IEEE T. Power Syst., 31(6), 4525 – 4533 (2016).

    Article  Google Scholar 

  4. M. Rahman, F. Atchison, and V. Cecchi, “Temperature-dependent system level analysis of electric power transmission systems. A review,” Electr. Pow. Syst. Res., 193, 107033 (2021). https://doi.org/10.1016/j.epsr.2021.107033

  5. S. Frank, J. Sexauer, and S. Mohagheghi, “Temperature-dependent power flow,” IEEE T. Power Syst., 28, No. 4, 4007 – 4018 (2013). https://doi.org/10.1109/TPWRS.2013.2266409

    Article  Google Scholar 

  6. M. Rahman, V. Cecchi, and K. Miu, “Power handling capabilities of transmission systems using a temperature-dependent power flow,” Electr. Pow. Syst. Res., 169, 241 – 249 (2019). https://doi.org/10.1016/j.epsr.2018.12.021

    Article  Google Scholar 

  7. IEEE Std 738–2012. IEEE Standard for Calculating the Current-Temperature Relationship of Bare Overhead Conductors (Revision of IEEE Std 738–2006 — Incorporates IEEE Std 738–2012 Cor 1-2013), Dec. (2013).

  8. A. Ahmed, F. J. S. McFadden, and R. Rayudu, “Weather-dependent power flow algorithm for accurate power system analysis under variable weather conditions,” IEEE T. Power Syst., 34(4), 2719 – 2729 (2019).

    Article  Google Scholar 

  9. O. Voitov, E. Popova, and L. Semenova, “Algorithms for considering the temperature of overhead conductors in the calculation of steady states of electrical network,” Energ. Syst. Res., 2(2)(6), 19 – 27 (2019).

  10. A. B. Balametov and E. D. Halilov, “Simulation of electric Net-works Modes Using Steady-State and heat balance equations,” Energy. Proc. CIS Higher Educ. Inst., and Power Eng. Assoc., 63(1), 66 – 80 (2020). https://doi.org/10.21122/1029-7448-2020-63-1-66-80

  11. S. S. Girshin and A. O. Shepelev, “Development of Improved Methods for Calculating Steady States of power systems Taking into the calculation the temperature Dependence of the resistances of the Overhead Transmission Lines,” Power Tech. Eng., 54(2), 232 – 241 (2020). https://doi.org/10.1007/sl0749-020-01196-w

    Article  Google Scholar 

  12. B. R Prusty and D. Jena, “A sensitivity matrix-based temperature-augmented probabilistic load flow study,” IEEE T. Ind. Appl., 53(3), 2506 – 2516 (2017).

    Article  Google Scholar 

  13. E. E. Pompodakis, A. Ahmed, and M. C. Alexiadis, “A threephase weather-dependent power flow approach for 4-wire multi-grounded unbalanced microgrids with bare overhead conductors,” IEEE T. Power Syst., 36(3), 2293 – 2303 (2021).

    Article  Google Scholar 

  14. M. Wang, M. Yang, J. Wang, et al., “Contingency analysis considering the transient thermal behavior of overhead transmission lines,” IEEE T. Power Syst., 33(5), 4982 – 4993 (2018). https://doi.org/10.1109/TPWRS.2018.2812826

    Article  Google Scholar 

  15. S. Talpur, T. T. Lie, and R. Zamora, “Non-steady state electro-thermally coupled weather-dependent power flow teclmique for a geographically-traversed overhead-line capacity improvement,” Electr. Pow. Syst. Res., 177, 106017 (2019).

    Article  Google Scholar 

  16. S. Zhou, M. Wang, J. Wang, et al., “Time-process power flow calculation considering thermal behavior of transmission components,” IEEE T. Power Syst., 35(6), 4232 – 4250 (2020).

    Article  Google Scholar 

  17. K. Christakou, M. Paolone, and A. Abur, “Voltage control in active distribution networks under uncertainty in the system model: a robust optimization approach,” IEEE T. Smart Grid, 9(6), 5631 – 5642 (2018).

    Article  Google Scholar 

  18. B. I. Ayuev, V. V. Davydov, and P. M. Erokhin, “Models of closest marginal states of power systems in p-norms,” IEEE T. Power Syst., 33(2), 1195 – 1208 (2018).

    Article  Google Scholar 

  19. C. Wang, B. Cui, Z. Wang, et al., “SDP-based optimal power flow with steady-state voltage stability constraints,” IEEE T. Smart Grid, 10(4), 4637 – 4647 (2019).

    Article  Google Scholar 

  20. A. S. Matveev, J. E. MacHado, R. Ortega, et al., “Tool for analysis of existence of equilibria and voltage stability in power systems with constant power loads,” IEEE T. Automat. Contr., 65(11), 4726 – 4740 (2020).

    Article  MathSciNet  MATH  Google Scholar 

  21. M. I. Danilov and I. E. Romanenko, “On the problem of determining the vectors of current and voltage in a distributed circuit from data of AIIS KUÉ,” Vestn. YuUrGU. Ser. Énerget., 19(4), 87 – 94 (2019). 10.14529_power190410

  22. Y. Liu, B. Xu, A. Botterud, et al., “Bounding regression errors in data-driven power grid steady-state models,” IEEE T. Power Syst., 36(2), 1023 – 1033 (2021).

    Article  Google Scholar 

  23. A L. Kulikov, A. A. Loskutov, A. A. Sevost’yanov, et al., “Ehe Wald sequential analysis procedure as a means of guaranteeing a high automatic under-frequency load-shedding response rate at deviations of unified power quality indices,” Power Tech. Eng., 55(3), 467 – 475 (2021).

  24. V. É. Vorotnitsky, “Energy provision and enhancement of energy efficiency in distribution electrical networks of a new technological mode,” Élektroénerg. Pered. Raspred., No. 4(67), 88 – 96 (2021).

  25. O. Turkina, I. Voltov, D. Ivanov, et al., “Information system for calculation of a probability model of illegal power consumption,” Énerget. Polit., No. 11(165), 56 – 65 (2021).

  26. M. I. Danilov and I. G. Romanenko, “On the problem of determining the parameters of a distribution circuit in accordance with AIIS KUÉ,” Vestn. YuUrGU. Ser. Énerget., 20(2), 5 – 14 (2020). https://doi.org/10.14529/power200201

  27. M. I. Danilov and I. G. Romanenko, “A method of identifying individual current leakages in the phases of a distribution circuit monitored by an automated system of accounting,” Vestn. YuUrGU. Ser. Énerget., 21(2), 41 – 52 (2021). https://doi.org/10.14529/power210205

  28. M. I. Danilov, “On the detection and calculation of losses of electric power by automated systems of accounting for distribution circuits for unauthorized uses,” Élektrichestvo, No. 6, 51 – 61 (2021). https://doi.org/10.24160/0013-5380-2021-6-51-61

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Authors and Affiliations

  1. North Caucasian Federal University, Stavropol, Russia

    M. I. Danilov & I. G. Romanenko

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  1. M. I. Danilov
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  2. I. G. Romanenko
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Correspondence to M. I. Danilov.

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Translated from Élektricheskie Stantsii, No. 7, July 2022, pp. 25 – 37. DOI: https://doi.org/10.34831/EP.2022.7.005

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Danilov, M.I., Romanenko, I.G. Determination of Power Flows and Temperature of Electrical Network Wires of a Power System Steady State. Power Technol Eng 56, 739–750 (2023). https://doi.org/10.1007/s10749-023-01583-z

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  • DOI: https://doi.org/10.1007/s10749-023-01583-z

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