Ultrasonic temperature distribution reconstruction for circular area based on Markov radial basis approximation and singular value decomposition

Shen, Xuehua; Xiong, Qingyu; Shi, Xiaoyang; Wang, Kai; Liang, Shan; Gao, Min

doi:10.1016/j.ultras.2015.05.014

Cited by 41 publications

(15 citation statements)

References 18 publications

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“…2). These transducers can be regarded as transceivers due to their ability of working as transmitters and receivers, which are controlled to transmit and detect ultrasonic signals in different times 16 . Ultrasound signals propagate from one transducer to another transducer and generate ultrasound paths, which are represented by blue lines.…”

Section: Description Of Temperature Distribution Constructionmentioning

confidence: 99%

“…The Multi-quadric radial basis function is established aswhere ||·|| denotes the standard Euclidean norm; ( x i , y i , z i ) the center of Multi-quadric radial basis, or the midpoint of the i th element; and γ the smooth factor related to the specific area as well as the network of transducers 16 .…”

Section: Description Of Temperature Distribution Constructionmentioning

confidence: 99%

“…In fact, constructing temperature distributions based on ultrasound signals constitutes an inversion process generally accompanied by ill-conditioned matrices 9 . Therefore, mathematical methods of Multi-quadric radial basis approximation and singular-value decomposition are adopted, incorporating advantages of fitting sparse data and solving inversion problems 16 . To validate the constructing performance, we carry out a series of numerical simulations in which temperature-distribution models with different complexity levels are designed.…”

Section: Introductionmentioning

confidence: 99%

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Construction of three-dimensional temperature distribution using a network of ultrasonic transducers

Shen

Chen

Shih

et al. 2019

Sci Rep

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Although the ultrasonic technique for measuring temperature distributions has drawn much attention in recent years, most studies that adopt this technique focus on two-dimensional (2D) systems. Mathematically, extending from 2D to 3D requires higher construction-performing algorithms, as well as more complicated, but extremely crucial, designs of ultrasonic transducer layouts. Otherwise the ill condition of governing-equation matrices will become more serious. Here, we aim at constructing 3D temperature distributions by using a network of properly-installed ultrasonic transducers that can be controlled to transmit and receive ultrasound. In addition, the proposed method is capable of performing this construction procedure in real time, thus monitoring transient temperature distributions and guarantee the safety of operations related to heating or burning. Numerical simulations include constructions for four kinds of temperature distributions, as well as corresponding qualitative and quantitative analyses. Finally, our study offers a guide in developing non-intrusive experimental methods that measure 3D temperature distributions in real time.

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Section: Description Of Temperature Distribution Constructionmentioning

confidence: 99%

Section: Description Of Temperature Distribution Constructionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Construction of three-dimensional temperature distribution using a network of ultrasonic transducers

Shen

Chen

Shih

et al. 2019

Sci Rep

Self Cite

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“…Acoustic tomography, as an important and efficient method, has been applied to measure the temperature fields in furnaces to improve the combustion efficiency of the boiler and ensure the safe operation of the boiler. At present, the research on temperature field reconstruction by AT is mainly conducted in two dimensions [9][10][11]. 3D temperature field reconstruction is discussed by only few researchers [12,13].…”

Section: Introductionmentioning

confidence: 99%

3D Temperature Distribution Reconstruction in Furnace Based on Acoustic Tomography

Kong

Jiang

Liu

et al. 2019

Mathematical Problems in Engineering

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3D temperature distribution measurement in a furnace based on acoustic tomography (AT) calculates temperature field through multipath acoustic time-of-flight (TOF) data. In this paper, a new 3D temperature field reconstruction model based on radial basis function approximation with polynomial reproduction (RBF-PR) is proposed for solving the AT inverse problem. In addition, the modified reconstruction method that integrates the advantages of the TSVD and Tikhonov regularization methods is presented to reduce the sensitivity of noise on perturbations with the ill-posed problems and improve the reconstruction quality (RQ). Numerical simulations are implemented to evaluate the effectiveness of the proposed reconstruction method using different 3D temperature distribution models, which include the one-peak symmetry distribution, one-peak asymmetry distribution, and twopeak symmetry distribution. To study the antinoise ability of our method, noises are added to the value of TOF. 3D display of reconstructed temperature fields and reconstruction errors is given. e results indicate that our model can reconstruct the temperature distribution with higher accuracy and better antinoise ability compared with the truncated generalized singular value decomposition (TGSVD). Besides that, the proposed method can determine the hot spot position with higher precision, and the temperature error of the hot spot is lower than the other compared methods.

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“…The information of temperature field distribution is complex but of crucial important for some industrial applications, such as burning, drying, and heating, because it can reflect the internal running state of industrial equipment, assist to develop control strategy, and ensure safety in operation [1][2][3]. Thus, it becomes a critical issue to explore a proper temperature measurement method to reconstruct temperature field distribution and acquire temperature information in industrial environment.…”

Section: Introductionmentioning

confidence: 99%

Two‐Dimensional Temperature Field Distribution Reconstruction Based on Least Square Method and Radial Basis Function Approximation

Jia

Xiong

2017

Mathematical Problems in Engineering

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The information of temperature field distribution is complex but quite important for theoretical study and industrial applications, such as burning, drying, and heating, because it can reflect the internal running state of industrial equipment, assist to develop control strategy, and ensure safety in operation. Acoustic imaging is a kind of noncontact temperature measurement technique which is able to achieve temperature field distribution reconstruction. The process of temperature field distribution reconstruction using acoustic imaging is an inverse problem and its reconstruction performance depends on reconstruction algorithm. In this paper, a modified reconstruction algorithm is investigated. Compared with other reconstruction methods of least square algorithm and radial basis function approximation, the reconstruction results indicate that the modified reconstruction algorithm occupies the best information reflection of temperature field distribution and the reconstruction accuracy is improved.

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Ultrasonic temperature distribution reconstruction for circular area based on Markov radial basis approximation and singular value decomposition

Cited by 41 publications

References 18 publications

Construction of three-dimensional temperature distribution using a network of ultrasonic transducers

Construction of three-dimensional temperature distribution using a network of ultrasonic transducers

3D Temperature Distribution Reconstruction in Furnace Based on Acoustic Tomography

Two‐Dimensional Temperature Field Distribution Reconstruction Based on Least Square Method and Radial Basis Function Approximation

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