Construction of a Multiparameter Mathematical Model of the Power Plant Structural Elements

Author

Oleksandr M. Minko, National Aerospace University “Kharkiv Aviation Institute” (17, Vadyma Manka str., Kharkiv, 61070, Ukraine), e-mail: alexandr.minko@i.ua, ORCID: 0000-0003-3206-0131

Abstract

Multiparametric mathematical model of the stator and rotor of a power machine, which is capable of describing electrodynamic, mechanical and heat-ventilation processes occurring in an electromechanical energy converter (using the example of a turbogenerator), has been obtained. It is substantiated that any power plant contains an electromechanical energy converter and the area of research is also within the scope of electrical machines and cannot be considered separately. The logic and sequence of building a multiparametric model are shown in matrix form and in numerical form. The mathematical model uses a parametric mathematical apparatus and is implemented using sequentially dependent quantities, including geometric dimensions, winding current indicators, electromagnetic induction, temperature indicators and mechanical load indicators. The developed model allows to reduce the time for designing a power machine. Multiparameterization in complex design significantly expands the intellectual content of models and significantly increases the information quality of mathematical models, which, with a sufficient level of automation, allows for much more efficient adoption of design and engineering decisions in the design of structural elements of power plants and power machines as a whole. By modeling processes that are different in nature, the result of the development of individual power machine units allows to obtain such indicators of the design unit as current load, mechanical effects from electromechanical torque and rotor mass, and the required level of heat removal from the structural elements of the power machine.

Keywords: power plant, electromechanical energy converter, multi-parametric design, turbogenerator, multi-physical processes.

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References

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Received 19 January 2026
Accepted 16 March 2026
Published 30 March 2026