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Estimation of time-dependent heat flux and measurement bias in two-dimensional inverse heat conduction problems

机译:二维逆导热问题中随时间变化的热通量和测量偏差的估计

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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.
机译:本文介绍了自适应估计器的结果,该估计器用于估计壁加热和绝热的二维热传导域中随时间变化的边界热通量。为了进行估算,该算法仅需要在隔热墙处测量的温度。另外,估计器还预测测量中的偏差。在对系统建模时,假设可以通过半马尔可夫过程对输入通量和偏置序列动力学进行建模。通过将半马尔可夫概念纳入贝叶斯估计技术,估计器由一组并行的,自适应加权的卡尔曼滤波器组成。计算机仿真结果表明,所提出的自适应估计器即使在逐步改变热通量和测量偏差的情况下也具有改进的估计性能。

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