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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.18232 |
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| _version_ | 1866909122727772160 |
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| author | Bermúdez, A. Gómez, D. González-Peñas, D. |
| author_facet | Bermúdez, A. Gómez, D. González-Peñas, D. |
| contents | This work proposes a methodology combining distributed and lumped models to simulate the current distribution in an indirect heat resistance furnace and, in particular, to compute the current to be supplied in order to obtain a desired power. The distributed model is a time-harmonic eddy current problem which has been numerically solved by using a finite element method. The lumped model is based on the computation of a reduced impedance associated to an equivalent circuit model. The effectiveness of the method has been assessed by numerical simulations and plant measurements. The good correlation between the results reveals this approximation is well-suited in order to aid the design and improve the efficiency of the furnace in a short-time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18232 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical simulation of resistance furnaces by using distributed and lumped models Bermúdez, A. Gómez, D. González-Peñas, D. Analysis of PDEs Mathematics Subject Classification (2010) 35Q61, 65N30, 68Q06 This work proposes a methodology combining distributed and lumped models to simulate the current distribution in an indirect heat resistance furnace and, in particular, to compute the current to be supplied in order to obtain a desired power. The distributed model is a time-harmonic eddy current problem which has been numerically solved by using a finite element method. The lumped model is based on the computation of a reduced impedance associated to an equivalent circuit model. The effectiveness of the method has been assessed by numerical simulations and plant measurements. The good correlation between the results reveals this approximation is well-suited in order to aid the design and improve the efficiency of the furnace in a short-time. |
| title | Numerical simulation of resistance furnaces by using distributed and lumped models |
| topic | Analysis of PDEs Mathematics Subject Classification (2010) 35Q61, 65N30, 68Q06 |
| url | https://arxiv.org/abs/2402.18232 |