RT Journal Article T1 Numerical simulation of resistance furnaces by using distributed and lumped models A1 Bermúdez de Castro López-Varela, Alfredo A1 Gómez Pedreira, María Dolores A1 González Penas, David K1 Metallurgical furnaces K1 Indirect resistance heating K1 Equivalent circuit model K1 AC impedance K1 Active power estimation AB 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 PB Springer SN 1019-7168 YR 2024 FD 2024 LK http://hdl.handle.net/10347/33630 UL http://hdl.handle.net/10347/33630 LA eng NO 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 NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. 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 DS Minerva RD 30 abr 2026