Real-time reconstruction of the time-dependent heat flux and temperature distribution in participating media by using the Kalman filtering technique

Qi, Hong; Wen, Shuangchun; Wang, Yifei; Ren, Ya-Tao; Wei, Linyang; Ruan, Li-Ming

doi:10.1016/j.applthermaleng.2019.04.077

Cited by 24 publications

(3 citation statements)

References 46 publications

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“…This method replaces the continuous solution domain with a finite number of grid nodes, replacing the differential in the heat conduction equation with the difference quotient of the function values at the grid nodes, thus, discretizing the continuous equation. The time term is discretized in forward difference form and the spatial term is discretized in central difference form for the computational domain, as shown in Equations ( 7)- (10).…”

Section: Finite Difference Methodsmentioning

confidence: 99%

“…For example, Dong et al combined the Broyden combination method with SFSM to reconstruct the temperature field during the heating of billets [9]. The literature [10,11] applied the Kalman technique to the study of inverse heat conduction problems. In response to the low accuracy of the first-order linearized approximation of the Kalman technique, an unscented Kalman filter (UKF) was proposed and combined with unscented Rauch-Tung-Striebel smoother (URTSS) to be applied to non-linear inverse heat conduction problems.…”

Section: Introductionmentioning

confidence: 99%

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Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control

Huang

Liu

2023

Energies

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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.

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Section: Finite Difference Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control

Huang

Liu

2023

Energies

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“…In order to improve the realtime performance of thermal boundary estimation, Xiong et al [6] proposed the sequential function specification method and finite volume method to predict the convective heat transfer coefficients of fluids in two-dimensional pipes in real time. Qi et al [7,8] proposed an unscented Kalman filter (UKF) and applied it to nonlinear inverse heat conduction Energies 2023, 16, 225 2 of 14 problems with an unscented smoother. Many scholars use the method of neural networks to solve the IHCP.…”

Section: Introductionmentioning

confidence: 99%

Real-Time Solution of Unsteady Inverse Heat Conduction Problem Based on Parameter-Adaptive PID with Improved Whale Optimization Algorithm

Huang

Liu

2022

Energies

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To solve the problem of the common unsteady inverse heat conduction problem in the industrial field, a real-time solution method of improving the whale optimization algorithm (IWOA) and parameter-adaptive proportional-integral-differential (PID) is proposed in the paper. A feedback control system with IWOA-PID, which can inversely solve the boundary heat flux, is established. The deviation between the calculated temperature and the measured temperature of the measured point obtained by solving the direct heat conduction problem (DHCP) is used as the system input. The heat flux which is iteration-solved by IWOA-PID is used as system output. The method improves the initial solution distribution, global search capability and population diversity generalization of the traditional whale optimization algorithm (WOA), which effectively improves the parameter-adaptive capability of PID. The experimental results show that the solution method of inverse heat transfer proposed in the paper can accurately retrieve the variation of the boundary heat flux in real time and has good resistance and self-adaptability.

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A Numerical Feed-Forward Scheme for the Augmented Kalman Filter

Marcuzzi

2024

Lecture Notes in Computer Science

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Real-time reconstruction of the time-dependent heat flux and temperature distribution in participating media by using the Kalman filtering technique

Cited by 24 publications

References 46 publications

Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control

Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control

Real-Time Solution of Unsteady Inverse Heat Conduction Problem Based on Parameter-Adaptive PID with Improved Whale Optimization Algorithm

A Numerical Feed-Forward Scheme for the Augmented Kalman Filter

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