Abstract
This work proposes a methodology that combines distributed and lumped models to simulate the current distribution within an indirect heat resistance furnace and, in particular, to calculate the current to be supplied for achieving a desired power output. The distributed model is a time-harmonic eddy current problem, which is solved numerically using the finite element method. The lumped model relies on calculating a reduced impedance associated with an equivalent circuit model. Numerical simulations and plant measurements demonstrate the effectiveness of this approach. The good correlation between the results indicates that this approximation is well-suited to support the design and improve the efficiency of the furnace in a short time.
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Acknowledgements
The authors acknowledge and appreciate the impact that Alain Bossavit’s work has had on their research related to the mathematical analysis of numerical methods to solve electromagnetism problems and to the application to the mathematical modeling of various industrial problems.
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Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. This work has been partially supported by FEDER, Ministerio de Ciencia e Innovación through the research project PID2021-122625OB-I00 and by Xunta de Galicia (Spain) research project GI-1563 ED431C 2021/15.
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Communicated by: Francesca Rapetti
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Bermúdez, A., Gómez, D. & González, D. Numerical simulation of resistance furnaces by using distributed and lumped models. Adv Comput Math 50, 25 (2024). https://doi.org/10.1007/s10444-024-10120-z
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DOI: https://doi.org/10.1007/s10444-024-10120-z
Keywords
- Metallurgical furnaces
- Indirect resistance heating
- Equivalent circuit model
- AC impedance
- Active power estimation