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Analysis of the sensor placement for optimal temperature distribution reconstruction |
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| Affiliation: | 1. Department of Information Technology, Ghent University/iMinds Gaston Crommenlaan 8, Box 201, B-9050 Ghent, Belgium;2. Department of Environment, Nature and Energy (LNE), Flemish Government, Koning Albert II-laan 20, Box 8, B-1000 Brussels, Belgium;1. Department of Neurology, Division of Neuromuscular Diseases, Beth Israel Deaconess Medical Center, Harvard Medical School, Boston, MA 02215-5491, USA;2. Faculty of Engineering, Department of Fundamental Electricity and Instrumentation, Building K, Pleinlaan 2, 1050 Brussels, Belgium;1. School of Control Science and Engineering, Shandong University, Jinan, China;2. Energy Research Institute@ NTU, Nanyang Technological University, 50 Nanyang Drive, Singapore, Singapore;3. Geo & Stru Engineering Research Center, Shandong University, Jinan, China |
| Abstract: | The temperature distribution as a function of time and space is reconstructed over a non-homogeneous media having an arbitrary three-dimensional geometry. This is done by applying an inverse problem to the collected data from optimally placed sensors on the boundary surface of the object under study. Sensor positioning and the choice of the number of sensors are optimized in terms of the resolution of the reconstructed temperature field and the error propagation of the method in case of uncertain measurements. The method can be performed in real time since the major computation burden is performed off-line. |
| Keywords: | Inverse problem Non-homogeneous media Resolution optimization Genetic algorithm Eigenfunction |
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