Estimation of time-dependent heat flux and measurement bias in two-dimensional inverse heat conduction problems |
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Affiliation: | 1. Department of Electrical and Electronic Engineering, Cheju National University, Cheju 690-756, South Korea;2. Department of Chemical Engineering, Cheju National University, Cheju 690-756, South Korea;3. Department of Nuclear and Energy Engineering, Cheju National University, Cheju 690-756, South Korea;1. Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, Taiwan, ROC;2. Metal Processing R&D Department, Metal Industries Research & Development Centre, Kaohsiung 81160, Taiwan, ROC |
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Abstract: | This paper presents the results from the adaptive estimator developed to estimate time-dependent boundary heat flux in two-dimensional heat conduction domain with heated and insulated walls. For the estimation, the algorithm requires only the temperatures measured at the insulated walls. In addition, the estimator also predicts the bias in the measurements. In modeling the system, it is assumed that the input flux and bias sequence dynamics can be modeled by a semi-Markov process. By incorporating the semi-Markovian concept into a Bayesian estimation technique, the estimator consists of a bank of parallel, adaptively weighted, Kalman filters. Computer simulation results reveal that the proposed adaptive estimator has improved estimation performance even for step changing heat flux and measurement bias. |
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