Methodology for Comprehensive Hierarchical Reliability Assessment and its Application to Heating System Operation and Expansion

Authors

  • V.A. Stennikov Melentiev Energy Systems Institute SB RAS, Irkutsk, Russia
  • I.V. Postnikov Melentiev Energy Systems Institute SB RAS, Irkutsk, Russia

DOI:

https://doi.org/10.25729/esr.2026.01.0011

Keywords:

Comprehensive hierarchical reliability analysis, ensuring reliability, heat supply effectiveness, heating system, Markov random process, nodal cost of thermal energy, nodal reliability indices, radius of cost-effective heat supply, reliability, the theory of hydraulic circuits

Abstract

This paper highlights the importance of a comprehensive hierarchical approach to the heating system reliability analysis. The core idea behind it is to integrate the methods and models used to assess the reliability of individual subsystems constituting heating systems, such as thermal energy sources and heat networks. This assessment accounts for a range of significant internal (systemic) and external factors. The main principles, provisions, and components of the methodology for the comprehensive hierarchical reliability analysis of heating systems are given. The methodology is employed in the key tasks related to assessing and ensuring (synthesizing) the operation of the studied systems. Building on the methodological approaches, models, and algorithms designed for the said analysis, this study introduces formulations, methods, models, and computational tools for new tasks of the long-term advancement of modern heating systems. These systems encompass both district and distributed thermal energy generation, featuring prosumer subsystems. The paper synthesizes the findings from the recent studies conducted by the contributing authors

References

V. V. Kolmogorov, L. E. Khalyapin, “Irkutsk HPP and the E. V. Sennova, A. V. Smirnov, A. A. Ionin et al, Reliability of heating systems. Novosibirsk, Russia: Nauka, 2000. (In Russian)

L. S. Popyrin, K. S. Svetlov, G. M. Belyaeva, et al, Research of heat supply systems. Moscow, USSR: Nauka, 1989, 215 p. (In Russian)

V. A. Stennikov, I. V. Postnikov, “General methodological provisions of the hierarchical and comprehensive reliability analysis of district heating system”, in Hierarchical Modeling of Energy Systems, N. I. Voropai, V. A. Stennikov, Eds. Elsevier Inc., 2023, pp. 424–428. ISBN 978-0-443-13917-8.

V. A. Stennikov, I. V. Postnikov, “Comprehensive analysis of heat supply reliability,” Proceedings of the Russian Academy of Sciences: Power Engineering, no. 2, pp. 117–121, 2011. (In Russian)

V. A. Stennikov, I. V. Postnikov, “Methods of comprehensive analysis of heat supply reliability,” Electrical Stations, no. 10, pp. 22–30, 2013. (In Russian)

V. A. Stennikov, I. V. Postnikov, “Methods for the integrated reliability analysis of heat supply,” Power Technology and Engineering, vol. 47, no. 6, pp. 446–453, 2014.

I. Postnikov, “Application of the methods for comprehensive reliability analysis of district heating systems,” Environmental and Climate Technologies, vol. 24, no. 3, pp. 145–162, 2020.

I. Postnikov, V. Stennikov, E. Mednikova, A. Penkovskii, “Methodology for optimization of component reliability of heat supply systems,” Applied Energy, vol. 227, pp. 365–374, 2018.

I. V. Postnikov, V. A. Stennikov, “Ensuring parametric reliability of heat supply systems,” Power Engineering: Research, Equipment, Technology, vol. 19, no. 3–4, pp. 20–30, 2017. (In Russian)

I. Postnikov, E. Mednikova, “A reliability analysis of fuel supply for district heating systems based on statistical test method,” Energy Reports, vol. 8(13), pp. 304–311, 2022.

I. V. Postnikov, E. E. Mednikova, “Assessing fuel supply reliability of thermal energy sources based on the method of statistical tests,” Energy Security and Energy Saving, no. 3(105), pp. 34–41, 2022. (In Russian)

I. Postnikov, V. Stennikov, “Modifications of probabilistic models of states evolution for reliability analysis of district heating systems,” Energy Reports, vol. 6(2), pp. 293–298, 2020.

V. A. Stennikov, I. V. Postnikov, A. V. Penkovskii, “Methods and models of optimal control of a heat supply system taking into account reliability based on the Lagrange multiplier method and a Markov random process,” Proceedings of the Russian Academy of Sciences: Power Engineering, no. 6, pp. 3–16, 2023. (In Russian)

I. Postnikov, A. Penkovskii, “Comprehensive price-reliability analysis for district heating systems,” Energy Reports, vol. 8(13), pp. 129–136, 2022.

I. Postnikov, “Methods for the reliability optimization of district-distributed heating systems with prosumers,” Energy Reports, vol. 9(1), pp. 584–593, 2023.

I. Postnikov, “Methods for optimization of time redundancy of prosumer in district heating systems,” Energy Reports, vol. 6(2), pp. 214–220, 2020.

I. V. Postnikov, E. E. Mednikova, “Methods and models for defining optimal reliability parameters in district-distributed heating systems,” Bulletin of the South Ural State University. Series: Power Engineering, vol. 22, no. 2, pp. 104–115, 2022. (In Russian)

V. A. Stennikov, I. V. Postnikov, A. V. Penkovskii, “Methods and models of optimal control of heating systems with active thermal energy consumers,” Proceedings of the Russian Academy of Sciences: Power Engineering, No. 3, pp. 12–23, 2021. (In Russian)

I. V. Postnikov, “Optimization of heat supply reliability taking into account the functions of an active consumer,” Bulletin of the South Ural State University. Series: Power Engineering, vol. 21, no. 2, pp. 5–13, 2021. (In Russian)

I. V. Postnikov, “Ensuring the reliability of heat supply to active consumers through the optimization of their time reserve and restoration parameters of heating system components,” Energy Security and Energy Saving, no. 1, pp. 45–52, 2021. (In Russian)

V. A. Stennikov, I. V. Postnikov, A. V. Penkovskii, “A methodology for performance and reliability analysis of prosumers' local heat sources in district heating system,” Energy Systems Research, vol. 6, no. 3, pp. 17–27, 2023.

I. Postnikov, “A reliability assessment of the heating from a hybrid energy source based on combined heat and power, and wind power plants,” Reliability Engineering & System Safety, vol. 221, Art. no. 108372, 2022.

V. Stennikov, E. Mednikova, I. Postnikov, A. Penkovskii, “Optimization of the effective heat supply radius for the district heating systems,” Environmental and Climate Technologies, vol. 23, no. 2, pp. 207–221, 2019.

E. E. Mednikova, V. A. Stennikov, I. V. Postnikov, “Development of a methodology for assessing the efficiency of connecting new consumers to the heating system,” Industrial Energy, no. 2, pp. 13–20, 2018. (In Russian)

V. A. Stennikov, E. E. Mednikova, I. V. Postnikov, A. V. Penkovskii., T. V. Dobrovolskaya, “Development of a methodology for calculating the effective heat supply radius,” Industrial Energy, no. 11, pp. 25–32, 2017. (In Russian)

V. A. Stennikov, I. V. Postnikov, E. E. Mednikova, “Determination of an effective heating radius in district heating systems in terms of reliability,” Energy Systems Research, vol. 4, no. 1, pp. 54–62, 2021.

I. Postnikov, E. Mednikova, “Methodological provisions to the formation of district-distributed heating systems,” E3S Web of Conference, vol. 397, Art. no. 02005, 2023.

I. Postnikov, “Probabilistic modeling of functioning of district-distributed heating systems for the reliability analysis,” E3S Web of Conference, vol. 397, Art. no. 02004, 2023

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Published

2026-03-31