Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control
For the unsteady multi-boundary inverse heat conduction problem, a real-time solution method for boundary heat flux based on dynamic matrix control is proposed in the paper. The method solves the heat flux at the boundary in real-time by measuring the temperature information at the measurement point...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Energies |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1073/16/11/4420 |
| _version_ | 1797597629839835136 |
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| author | Weichao Huang Jiahao Li Ding Liu |
| author_facet | Weichao Huang Jiahao Li Ding Liu |
| author_sort | Weichao Huang |
| collection | DOAJ |
| description | For the unsteady multi-boundary inverse heat conduction problem, a real-time solution method for boundary heat flux based on dynamic matrix control is proposed in the paper. The method solves the heat flux at the boundary in real-time by measuring the temperature information at the measurement points of the heat transfer system. A two-dimensional direct heat conduction model of the heat transfer system is established in the paper, and is solved by the finite difference method to obtain the temperature information of the measurement points under any heat flux boundary. Then, the correspondence between the heat flux of boundary and the temperature information is presented by means of a step-response model. The regularization parameters are introduced into the method to improve the stability of the inversion process, and the effect of real-time inversion on the heat flux of the boundary is achieved through rolling optimization. The experimental results show that the proposed method can achieve real-time inversion of the heat fluxes of the two-dimensional boundary with good accuracy. |
| first_indexed | 2024-03-11T03:07:19Z |
| format | Article |
| id | doaj.art-1e40c3f7d2b74b31925234466ffd4b5b |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-11T03:07:19Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-1e40c3f7d2b74b31925234466ffd4b5b2023-11-18T07:48:36ZengMDPI AGEnergies1996-10732023-05-011611442010.3390/en16114420Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix ControlWeichao Huang0Jiahao Li1Ding Liu2Shannxi Key Laboratory of Complex System Control and Intelligent Information Processing, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, ChinaFor the unsteady multi-boundary inverse heat conduction problem, a real-time solution method for boundary heat flux based on dynamic matrix control is proposed in the paper. The method solves the heat flux at the boundary in real-time by measuring the temperature information at the measurement points of the heat transfer system. A two-dimensional direct heat conduction model of the heat transfer system is established in the paper, and is solved by the finite difference method to obtain the temperature information of the measurement points under any heat flux boundary. Then, the correspondence between the heat flux of boundary and the temperature information is presented by means of a step-response model. The regularization parameters are introduced into the method to improve the stability of the inversion process, and the effect of real-time inversion on the heat flux of the boundary is achieved through rolling optimization. The experimental results show that the proposed method can achieve real-time inversion of the heat fluxes of the two-dimensional boundary with good accuracy.https://www.mdpi.com/1996-1073/16/11/4420inverse heat conduction problemsfinite difference methoddynamic matrix control |
| spellingShingle | Weichao Huang Jiahao Li Ding Liu Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control Energies inverse heat conduction problems finite difference method dynamic matrix control |
| title | Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control |
| title_full | Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control |
| title_fullStr | Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control |
| title_full_unstemmed | Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control |
| title_short | Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control |
| title_sort | research on unsteady inverse heat conduction based on dynamic matrix control |
| topic | inverse heat conduction problems finite difference method dynamic matrix control |
| url | https://www.mdpi.com/1996-1073/16/11/4420 |
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