MATHEMATICAL FOUNDATIONS OF THERMAL POWER STABILIZATION FOR BOILERS OPERATING ON GASES OF VARIABLE COMPOSITION

Taia Petik; Oleksandr Babenko; Yevhenii Stafidov; Viacheslav Mitiaiev

doi:10.36074/grail-of-science.26.12.2025.058

MATHEMATICAL FOUNDATIONS OF THERMAL POWER STABILIZATION FOR BOILERS OPERATING ON GASES OF VARIABLE COMPOSITION

Authors

Taia Petik Odesa Polytechnic National University Odesa, Ukraine https://orcid.org/0009-0001-8817-1706
Oleksandr Babenko Odesa Polytechnic National University Odesa, Ukraine https://orcid.org/0009-0009-9197-1446
Yevhenii Stafidov Odesa Polytechnic National University Odesa, Ukraine https://orcid.org/0009-0000-4222-9223
Viacheslav Mitiaiev Odesa Polytechnic National University Odesa, Ukraine https://orcid.org/0009-0000-6271-1930

DOI:

https://doi.org/10.36074/grail-of-science.26.12.2025.058

Keywords:

calorific value, chemical equilibrium, mathematical modeling, flue gases

Summary

The article considers a set of methods for engineering analysis and mathematical modeling aimed at stabilizing the thermal power of medium- and high-capacity boilers during the combustion of gaseous fuels with variable calorific value. Approaches for determining the quantitative composition of fuel mixtures are summarized, a formalized method for calculating their lower heating value is presented, and a mathematical model describing the thermal state of the furnace volume and convective heating surfaces is introduced. An experimental-computational methodology for determining flame and flue gas characteristics is proposed, combining thermochemical analysis with simplified chemical equilibrium equations. The calculation results are presented in the form of a summary table, allowing for an assessment of the sensitivity of the boiler unit's thermal power to changes in fuel calorific value.

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References

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