Effects of noise on fluidized bed characteristics measurements by electrical capacitance tomography

doi:10.1016/j.cjche.2024.09.033

Chinese Journal of Chemical Engineering ›› 2025, Vol. 79 ›› Issue (3): 219-233.DOI: 10.1016/j.cjche.2024.09.033

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Effects of noise on fluidized bed characteristics measurements by electrical capacitance tomography

Kai Huang^1,2,3, Chunlei Pei², Shuanghe Meng³, Wuqiang Yang⁴, Hua Li³, Mao Ye^3,5, Jinlong Gong^1,2

1. Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China;
2. Key Laboratory for Green Chemical Technology of Ministry of Education, School of Chemical Engineering and Technology, Collaborative Innovation Center of Chemical Science and Engineering, Tianjin University, Tianjin 300072, China;
3. Dalian National Laboratory for Clean Energy and National Engineering Laboratory for MTO, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China;
4. Department of Electrical and Electronic Engineering, The University of Manchester, Manchester M13 9PL, UK;
5. Tianjin Normal University, Tianjin 300387, China

Received:2024-05-10 Revised:2024-09-17 Accepted:2024-09-18 Online:2025-01-09 Published:2025-03-28
Supported by:
We acknowledge the National Key Research and Development Program of China (2021YFA1501302), the National Natural Science Foundation of China (22121004, 22122808), the Haihe Laboratory of Sustainable Chemical Transformations and the Program of Introducing Talents of Discipline to Universities (BP0618007) for financial support. This work is supported by the XPLORER PRIZE.

Effects of noise on fluidized bed characteristics measurements by electrical capacitance tomography

Kai Huang^1,2,3, Chunlei Pei², Shuanghe Meng³, Wuqiang Yang⁴, Hua Li³, Mao Ye^3,5, Jinlong Gong^1,2

1. Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China;
2. Key Laboratory for Green Chemical Technology of Ministry of Education, School of Chemical Engineering and Technology, Collaborative Innovation Center of Chemical Science and Engineering, Tianjin University, Tianjin 300072, China;
3. Dalian National Laboratory for Clean Energy and National Engineering Laboratory for MTO, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China;
4. Department of Electrical and Electronic Engineering, The University of Manchester, Manchester M13 9PL, UK;
5. Tianjin Normal University, Tianjin 300387, China

通讯作者: Mao Ye,E-mail:maoye@dicp.ac.cn;Jinlong Gong,E-mail:jlgong@tju.edu.cn
基金资助:
We acknowledge the National Key Research and Development Program of China (2021YFA1501302), the National Natural Science Foundation of China (22121004, 22122808), the Haihe Laboratory of Sustainable Chemical Transformations and the Program of Introducing Talents of Discipline to Universities (BP0618007) for financial support. This work is supported by the XPLORER PRIZE.

Abstract

Abstract: Noise is inevitable in electrical capacitance tomography (ECT) measurements. This paper describes the influence of noise on ECT performance for measuring gas–solids fluidized bed characteristics. The noise distribution is approximated by the Gaussian distribution and added to experimental capacitance data with various intensities. The equivalent signal strength () that equals the signal-to-noise ratio of packed beds is used to evaluate noise levels. Results show that the Pearson correlation coefficient, which indicates the similarity of solids fraction distributions over pixels, increases with, and reconstructed images are more deteriorated at lower . Nevertheless, relative errors for average solids fraction and bubble size in each frame are less sensitive to noise, attributed to noise compromise caused by the process of pixel values. These findings provide useful guidance for assessing the accuracy of ECT measurements of multiphase flows.

Key words: Noise, Electrical capacitance tomography, Fluidized bed, Signal-to-noise ratio, Measurement

摘要： Noise is inevitable in electrical capacitance tomography (ECT) measurements. This paper describes the influence of noise on ECT performance for measuring gas–solids fluidized bed characteristics. The noise distribution is approximated by the Gaussian distribution and added to experimental capacitance data with various intensities. The equivalent signal strength () that equals the signal-to-noise ratio of packed beds is used to evaluate noise levels. Results show that the Pearson correlation coefficient, which indicates the similarity of solids fraction distributions over pixels, increases with, and reconstructed images are more deteriorated at lower . Nevertheless, relative errors for average solids fraction and bubble size in each frame are less sensitive to noise, attributed to noise compromise caused by the process of pixel values. These findings provide useful guidance for assessing the accuracy of ECT measurements of multiphase flows.

关键词: Noise, Electrical capacitance tomography, Fluidized bed, Signal-to-noise ratio, Measurement

Kai Huang, Chunlei Pei, Shuanghe Meng, Wuqiang Yang, Hua Li, Mao Ye, Jinlong Gong. Effects of noise on fluidized bed characteristics measurements by electrical capacitance tomography[J]. Chinese Journal of Chemical Engineering, 2025, 79(3): 219-233.

References

[1] H. Wu, B. Buschle, Y.J. Yang, C. Tan, F. Dong, J.B. Jia, M. Lucquiaud, Liquid distribution and hold-up measurement in counter current flow packed column by electrical capacitance tomography, Chem. Eng. J. 353 (2018) 519-532.
[2] W. Warsito, L.S. Fan, Measurement of real-time flow structures in gas-liquid and gas-liquid-solid flow systems using electrical capacitance tomography (ECT), Chem. Eng. Sci. 56 (21-22) (2001) 6455-6462.
[3] Z.P. Wang, Q. Chen, X.Y. Wang, Z.H. Li, Z.X. Han, Dynamic visualization approach of the multiphase flow using electrical capacitance tomography, Chin. J. Chem. Eng. 20 (2) (2012) 380-388.
[4] W.Q. Yang, L.H. Peng, Image reconstruction algorithms for electrical capacitance tomography, Meas. Sci. Technol. 14 (1) (2003) R1-R13.
[5] Z.Q. Cui, Q. Wang, Q. Xue, W.R. Fan, L.L. Zhang, Z. Cao, B.Y. Sun, H.X. Wang, W.Q. Yang, A review on image reconstruction algorithms for electrical capacitance/resistance tomography, Sens. Rev. 36 (4) (2016) 429-445.
[6] P.N. Darma, M.R. Baidillah, M.W. Sifuna, M. Takei, Improvement of image reconstruction in electrical capacitance tomography (ECT) by sectorial sensitivity matrix using a K-means clustering algorithm, Meas. Sci. Technol. 30 (7) (2019) 075402.
[7] J. Kryszyn, D.M. Wanta, W.T. Smolik, Gain adjustment for signal-to-noise ratio improvement in electrical capacitance tomography system EVT4, IEEE Sens. J. 17 (24) (2017) 8107-8116.
[8] L.J. Xu, H.L. Zhou, Z. Cao, W.Q. Yang, A digital switching demodulator for electrical capacitance tomography, IEEE Trans. Instrum. Meas. 62 (5) (2013) 1025-1033.
[9] E. Al Hosani, M.M. Zhang, M. Soleimani, A limited region electrical capacitance tomography for detection of deposits in pipelines, IEEE Sens. J. 15 (11) (2015) 6089-6099.
[10] Z.Q. Cui, Y.X. Chen, H.X. Wang, A dual-modality integrated sensor for electrical capacitance tomography and electromagnetic tomography, IEEE Sens. J. 19 (21) (2019) 10016-10026.
[11] M. Flatscher, M. Neumayer, T. Bretterklieber, Impedance matched electrical capacitance tomography system: Front-end design and system analysis, Meas. Sci. Technol. 30 (10) (2019) 104002.
[12] Y. Li, D.J. Holland, Fast and robust 3D electrical capacitance tomography, Meas. Sci. Technol. 24 (10) (2013) 105406.
[13] Z. Zeeshan, C.E. Zuccarelli, D. Ospina Acero, Q.M. Marashdeh, F.L. Teixeira, Enhancing resolution of electrical capacitive sensors for multiphase flows by fine-stepped electronic scanning of synthetic electrodes, IEEE Trans. Instrum. Meas. 68 (2) (2018) 462-473.
[14] K. Huang, S.H. Meng, Q. Guo, W.Q. Yang, T. Zhang, M. Ye, Z.M. Liu, Effect of electrode length of an electrical capacitance tomography sensor on gas-solid fluidized bed measurements, Ind. Eng. Chem. Res. 58 (47) (2019) 21827-21841.
[15] S.N. Wang, J.M. Ye, Y.J. Yang, Quantitative measurement of two-phase flow by electrical capacitance tomography based on 3D coupling field simulation, IEEE Sens. J. 21 (18) (2021) 20136-20144.
[16] M.T. Xie, H.M. Yang, K. Zhao, B.L. Yuan, J. Li, J. Liu, J. Ying, Y.S. Huang, J. Ou, Regularization parameter optimization based on the constraint of Landweber algorithm for electrical capacitance tomography, Flow Meas. Instrum. 69 (2019) 101620.
[17] Z.X. Liu, H.G. Wang, W.Q. Yang, R.H. Ge, Optimization of large scale concentric-annulus electrical capacitance tomography sensor with internal electrodes, Measurement 188 (2022) 110604.
[18] X.H. Hu, W.Q. Yang, Design of a data acquisition and function generation unit with USB, Meas. Sci. Technol. 17 (4) (2006) N17-N₂3.
[19] J.M. Ye, M.X. Mao, H.G. Wang, W.Q. Yang, Image reconstruction for ECT based on extended sensitivity matrix, IEEE Sens. J. 16 (8) (2015) 2466-2476.
[20] Q. Guo, S.H. Meng, Y.F. Zhao, L.K. Ma, D.H. Wang, M. Ye, W.Q. Yang, Z.M. Liu, Experimental verification of solid-like and fluid-like states in the homogeneous fluidization regime of geldart A particles, Ind. Eng. Chem. Res. 57 (7) (2018) 2670-2686.
[21] W.Q. Yang, T.A. York, New AC-based capacitance tomography system, IEE Proc. Sci. Meas. Technol. 146 (1) (1999) 47-53.
[22] C. Tan, H.R. Jia, G.H. Liang, X. Wang, W.F. Niu, F. Dong, Combinational multimodality tomography system for industrial multiphase flow imaging, IEEE Trans. Instrum. Meas. 72 (2023) 4506610.
[23] Y.T. Makkawi, P.C. Wright, Fluidization regimes in a conventional fluidized bed characterized by means of electrical capacitance tomography, Chem. Eng. Sci. 57 (13) (2002) 2411-2437.
[24] N. Ellis, H.T. Bi, C.J. Lim, J.R. Grace, Hydrodynamics of turbulent fluidized beds of different diameters, Powder Technol. 141 (1-2) (2004) 124-136.
[25] B. Du, W. Warsito, L.S. Fan, Bed nonhomogeneity in turbulent gas-solid fluidization, AlChE. J. 49 (5) (2003) 1109-1126.
[26] S. Fang, Y.D. Wei, L. Fu, G. Tian, H.B. Qu, Time-series analysis of the characteristic pressure fluctuations in a conical fluidized bed with negative pressure, Chin. J. Chem. Eng. 32 (2021) 87-99.
[27] Q. Guo, S.H. Meng, D.H. Wang, Y.F. Zhao, M. Ye, W.Q. Yang, Z.M. Liu, Investigation of gas-solid bubbling fluidized beds using ECT with a modified Tikhonov regularization technique, AlChE. J. 64 (1) (2018) 29-41.
[28] S. Liu, L. Fu, W.Q. Yang, Optimization of an iterative image reconstruction algorithm for electrical capacitance tomography, Meas. Sci. Technol. 10 (7) (1999) L37-L39.
[29] W.B. Tian, J.T. Sun, M.F. Ramli, J.P. Wang, W.Q. Yang, An electrical capacitance tomography sensor with variable diameter, IEEE Sens. J. 17 (7) (2017) 2089-2099.
[30] S.G. Liang, J.M. Ye, H.G. Wang, M. Wu, W.Q. Yang, Influence of the internal wall thickness of electrical capacitance tomography sensors on image quality, Meas. Sci. Technol. 29 (3) (2018) 035401.
[31] T. Wang, Z.H. Xia, C.X. Chen, Computational study of bubble coalescence/break-up behaviors and bubble size distribution in a 3-D pressurized bubbling gas-solid fluidized bed of Geldart A particles, Chin. J. Chem. Eng. 44 (2022) 485-496.
[32] C.E. Agu, C. Pfeifer, M. Eikeland, L.A. Tokheim, B.M.E. Moldestad, Models for predicting average bubble diameter and volumetric bubble flux in deep fluidized beds, Ind. Eng. Chem. Res. 57 (7) (2018) 2658-2669.
[33] G. Guo, G.W. Tong, L. Lu, S. Liu, Iterative reconstruction algorithm for the inverse problems in electrical capacitance tomography, Flow Meas. Instrum. 64 (2018) 204-212.

Effects of noise on fluidized bed characteristics measurements by electrical capacitance tomography

Effects of noise on fluidized bed characteristics measurements by electrical capacitance tomography

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