Boundary Shape Inversion of Two-Dimensional Steady-State Heat Transfer System Based on Finite Volume Method and Decentralized Fuzzy Adaptive PID Control
A shape identification scheme was developed to determine the geometric shape of the inaccessible parts of two-dimensional objects using the measured temperatures on their accessible surfaces. The finite volume method was used to calculate the measured point’s temperature in the forward pro...
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MDPI AG
2019-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/1/153 |
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| author | Liangliang Yang Xiaogang Sun Yuanli Chu |
| author_facet | Liangliang Yang Xiaogang Sun Yuanli Chu |
| author_sort | Liangliang Yang |
| collection | DOAJ |
| description | A shape identification scheme was developed to determine the geometric shape of the inaccessible parts of two-dimensional objects using the measured temperatures on their accessible surfaces. The finite volume method was used to calculate the measured point’s temperature in the forward problem. In the inversion problem, the decentralized fuzzy adaptive Proportion Integral Differential (PID) control (DFAC) algorithm was used to compensate for the inversion boundary by using the difference between the measurement temperature and the calculation temperature. More accurate inversion results were obtained by introducing the weighted and synthesized normal distribution. In the inversion problem, the effects of the initial guess, the number of measuring points, and the measurement error were studied. The experiment calculation and analysis showed that the methods adopted in this paper still maintain good validity and accuracy with different initial guesses and decrease the number of measuring points and the existence of measurement errors. |
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| id | doaj.art-5107cabaa271488e9e9882c05e1ec09a |
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| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-13T06:14:24Z |
| publishDate | 2019-12-01 |
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| spelling | doaj.art-5107cabaa271488e9e9882c05e1ec09a2022-12-21T23:57:00ZengMDPI AGApplied Sciences2076-34172019-12-0110115310.3390/app10010153app10010153Boundary Shape Inversion of Two-Dimensional Steady-State Heat Transfer System Based on Finite Volume Method and Decentralized Fuzzy Adaptive PID ControlLiangliang Yang0Xiaogang Sun1Yuanli Chu2School of Instrumentation Science and Engineering, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Instrumentation Science and Engineering, Harbin Institute of Technology, Harbin 150001, ChinaHarbin Institute of Technology Library, Harbin Institute of Technology, Harbin 150001, ChinaA shape identification scheme was developed to determine the geometric shape of the inaccessible parts of two-dimensional objects using the measured temperatures on their accessible surfaces. The finite volume method was used to calculate the measured point’s temperature in the forward problem. In the inversion problem, the decentralized fuzzy adaptive Proportion Integral Differential (PID) control (DFAC) algorithm was used to compensate for the inversion boundary by using the difference between the measurement temperature and the calculation temperature. More accurate inversion results were obtained by introducing the weighted and synthesized normal distribution. In the inversion problem, the effects of the initial guess, the number of measuring points, and the measurement error were studied. The experiment calculation and analysis showed that the methods adopted in this paper still maintain good validity and accuracy with different initial guesses and decrease the number of measuring points and the existence of measurement errors.https://www.mdpi.com/2076-3417/10/1/153inverse probleminverse geometry problemheat transferfuzzy adaptive control pid algorithminverse heat conduction problem |
| spellingShingle | Liangliang Yang Xiaogang Sun Yuanli Chu Boundary Shape Inversion of Two-Dimensional Steady-State Heat Transfer System Based on Finite Volume Method and Decentralized Fuzzy Adaptive PID Control Applied Sciences inverse problem inverse geometry problem heat transfer fuzzy adaptive control pid algorithm inverse heat conduction problem |
| title | Boundary Shape Inversion of Two-Dimensional Steady-State Heat Transfer System Based on Finite Volume Method and Decentralized Fuzzy Adaptive PID Control |
| title_full | Boundary Shape Inversion of Two-Dimensional Steady-State Heat Transfer System Based on Finite Volume Method and Decentralized Fuzzy Adaptive PID Control |
| title_fullStr | Boundary Shape Inversion of Two-Dimensional Steady-State Heat Transfer System Based on Finite Volume Method and Decentralized Fuzzy Adaptive PID Control |
| title_full_unstemmed | Boundary Shape Inversion of Two-Dimensional Steady-State Heat Transfer System Based on Finite Volume Method and Decentralized Fuzzy Adaptive PID Control |
| title_short | Boundary Shape Inversion of Two-Dimensional Steady-State Heat Transfer System Based on Finite Volume Method and Decentralized Fuzzy Adaptive PID Control |
| title_sort | boundary shape inversion of two dimensional steady state heat transfer system based on finite volume method and decentralized fuzzy adaptive pid control |
| topic | inverse problem inverse geometry problem heat transfer fuzzy adaptive control pid algorithm inverse heat conduction problem |
| url | https://www.mdpi.com/2076-3417/10/1/153 |
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