STROM: A Spatial–Temporal Reduced-Order Model for Zinc Fluidized Bed Roaster Temperature Field Prediction

Yunfeng Zhang , Chunhua Yang , Keke Huang , Tingwen Huang , Weihua Gui

Engineering ›› 2025, Vol. 52 ›› Issue (9) : 112 -128.

PDF (3564KB)
Engineering ›› 2025, Vol. 52 ›› Issue (9) :112 -128. DOI: 10.1016/j.eng.2025.04.013
Research
Article
STROM: A Spatial–Temporal Reduced-Order Model for Zinc Fluidized Bed Roaster Temperature Field Prediction
Author information +
History +
PDF (3564KB)

Abstract

With the intelligent transformation of process manufacturing, accurate and comprehensive perception information is fundamental for application of artificial intelligence methods. In zinc smelting, the fluidized bed roaster is a key piece of large-scale equipment and plays a critical role in the manufacturing industry; its internal temperature field directly determines the quality of zinc calcine and other related products. However, due to its vast spatial dimensions, the limited observation methods, and the complex multiphase, multifield coupled reaction atmosphere inside it, accurately and timely perceiving its temperature field remains a significant challenge. To address these challenges, a spatial-temporal reduced-order model (STROM) is proposed, which can realize fast and accurate temperature field perception based on sparse observation data. Specifically, to address the difficulty in matching the initial physical field with the sparse observation data, an initial field construction based on data assimilation (IFC-DA) method is proposed to ensure that the initial conditions of the model can be matched with the actual operation state, which provides a basis for constructing a high-precision computational fluid dynamics (CFD) model. Then, to address the high simulation cost of high-precision CFD models under full working conditions, a high uniformity (HU)-orthogonal test design (OTD) method with the centered L2 deviation is innovatively proposed to ensure high information coverage of the temperature field dataset under typical working conditions in terms of multiple factors and levels of the component, feed, and blast parameters. Finally, to address the difficulty in real-time and accurate temperature field prediction, considering the spatial correlation between the observed temperature and the temperature field, as well as the dynamic correlation of the observed temperature in the time dimension, a spatial-temporal predictive model (STPM) is established, which realizes rapid prediction of the temperature field through sparse observation data. To verify the accuracy and validity of the proposed method, CFD model validation and reduced-order model prediction experiments are designed, and the results show that the proposed method can realize high-precision and fast prediction of the roaster temperature field under different working conditions through sparse observation data. Compared with the CFD model, the prediction root-mean-square error (RMSE) of STROM is less than 0.038, and the computational efficiency is improved by 3.4184  × 104 times. In particular, STROM also has a good prediction ability for unmodeled conditions, with a prediction RMSE of less than 0.1089.

Graphical abstract

Keywords

Fluidized bed roaster / Temperature field / Data assimilation / Test design / Reduced-order model

Cite this article

Download citation ▾
Yunfeng Zhang, Chunhua Yang, Keke Huang, Tingwen Huang, Weihua Gui. STROM: A Spatial–Temporal Reduced-Order Model for Zinc Fluidized Bed Roaster Temperature Field Prediction. Engineering, 2025, 52(9): 112-128 DOI:10.1016/j.eng.2025.04.013

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Yu W, Wu M, Huang B, Lu C. A generalized probabilistic monitoring model with both random and sequential data. Automatica 2022; 144:110468.

[2]

Meng X, Liu Q, Yang C, Zhou L, Cheung YM. A novel deep learning-based robust dual-rate dynamic data modeling for quality prediction. IEEE Trans Industr Inform 2024; 20(2):1324-34.

[3]

Zhu T, Liu X, Wang X, He H. Technical development and prospect for collaborative reduction of pollution and carbon emissions from iron and steel industry in China. Engineering 2023; 31:37-49.

[4]

Wei K, Huang K, Yang C, Gui W. Multi-objective adaptive optimization model predictive control: decreasing carbon emissions from a zinc oxide rotary kiln. Engineering 2023; 27:96-105.

[5]

Bao Y, Zhu Y, Qian F. A local quadratic embedding learning algorithm and applications for soft sensing. Engineering 2022; 18:186-96.

[6]

Mao S, Wang B, Tang Y, Qian F. Opportunities and challenges of artificial intelligence for green manufacturing in the process industry. Engineering 2019; 5(6):995-1002.

[7]

Wang X, Zhao H. A high-efficiency two-stroke engine concept: the boosted uniflow scavenged direct-injection gasoline (BUSDIG) engine with air hybrid operation. Engineering 2019; 5(3):535-47. Erratum in: Engineering 2019;5(5):979.

[8]

Wang S, Luo K, Hu C, Fan J. CFD-DEM study of the effect of ring baffles on system performance of a full-loop circulating fluidized bed. Chem Eng Sci 2019; 196:130-44. Erratum in: Chem Eng Sci 2020;216:115590.

[9]

Wu Y, Liu D, Zheng D, Ma J, Duan L, Chen X. Numerical simulation of circulating fluidized bed oxy-fuel combustion with dense discrete phase model. Fuel Process Technol 2019; 195:106129.

[10]

Hu C, Luo K, Wang S, Sun L, Fan J. Influences of operating parameters on the fluidized bed coal gasification process: a coarse-grained CFD-DEM study. Chem Eng Sci 2019; 195:693-706.

[11]

Liu D, Song J, Ma J, Chen X, van Wachem B. Gas flow distribution and solid dynamics in a thin rectangular pressurized fluidized bed using CFD-DEM simulation. Powder Technol 2020; 373:369-83.

[12]

Hou B, Wang X, Zhang T, Li H. A model for improving the Euler-Euler twophase flow theory to predict chemical reactions in circulating fluidized beds. Powder Technol 2017; 321:13-30.

[13]

Cardoso J, Silva V, Eusébio D, Brito P, Tarelho L. Improved numerical approaches to predict hydrodynamics in a pilot-scale bubbling fluidized bed biomass reactor: a numerical study with experimental validation. Energy Convers Manage 2018; 156:53-67.

[14]

Pang B, Wang S, Chen W, Hassan M, Lu H. Effects of flow behavior index and consistency coefficient on hydrodynamics of power-law fluids and particles in fluidized beds. Powder Technol 2020; 366:249-60.

[15]

Dash S, Mohanty S, Mishra BK. CFD modelling and simulation of an industrial scale continuous fluidized bed roaster. Adv Powder Technol 2020; 31 (2):658-69.

[16]

Wu Y, Liu D, Duan L, Ma J, Xiong J, Chen X. Three-dimensional CFD simulation of oxy-fuel combustion in a circulating fluidized bed with warm flue gas recycle. Fuel 2018; 216:596-611.

[17]

Feng Y, Wang Y, Wang BC, Li HX. Spatial decomposition-based fault detection framework for parabolic-distributed parameter processes. IEEE Trans Cybern 2022; 52(8):7319-27.

[18]

Alam K, Ray T, Anavatti SG. Design optimization of an unmanned underwater vehicle using low- and high-fidelity models. IEEE Trans Syst Man Cybern Syst 2017; 47(11):2794-808.

[19]

Wang JW, Li HX, Wu HN. A membership-function-dependent approach to design fuzzy pointwise state feedback controller for nonlinear parabolic distributed parameter systems with spatially discrete actuators. IEEE Trans Syst Man Cybern Syst 2017; 47(7):1486-99.

[20]

Saberian A, Sajadiye SM. Assessing the variable performance of fan-and-pad cooling in a subtropical desert greenhouse. Appl Therm Eng 2020; 179:115672.

[21]

Yu J, Lu L, Gao X, Xu Y, Shahnam M, Rogers WA. Coupling reduced-order modeling and coarse-grained CFD-DEM to accelerate coal gasifier simulation and optimization. AIChE J 2021; 67(1):e17030.

[22]

Xie W, Bonis I, Theodoropoulos C. Data-driven model reduction-based nonlinear MPC for large-scale distributed parameter systems. J Process Contr 2015; 35:50-8.

[23]

Du C, Han C, Yang Z, Wu H, Luo H, Niedzwiecki L, et al. Multiscale CFD simulation of an industrial diameter-transformed fluidized bed reactor with artificial neural network analysis of EMMS drag markers. Ind Eng Chem Res 2022; 61(24):8566-80.

[24]

Qian F. Smart process manufacturing toward carbon neutrality: digital transformation in process manufacturing for achieving the goals of carbon peak and carbon neutrality. Engineering 2023; 27:1-2.

[25]

Zheng D, Zhou L, Song Z. Kernel generalization of multi-rate probabilistic principal component analysis for fault detection in nonlinear process. IEEE/ CAA J Autom Sin 2021; 8(8):1465-76.

[26]

Qing X, Jin J, Niu Y, Zhao S. Time-space coupled learning method for model reduction of distributed parameter systems with encoder-decoder and RNN. AIChE J 2020; 66(8):e16251.

[27]

Lorenzetti J, McClellan A, Farhat C, Pavone M. Linear reduced-order model predictive control. IEEE Trans Automat Contr 2022; 67(11):5980-95.

[28]

Wu Y, Liu D, Ma J, Chen X. Effects of gas-solid drag model on Eulerian-Eulerian CFD simulation of coal combustion in a circulating fluidized bed. Powder Technol 2018; 324:48-61.

[29]

Wu Y, Liu D, Hu J, Ma J, Chen X. Comparative study of two fluid model and dense discrete phase model for simulations of gas-solid hydrodynamics in circulating fluidized beds. Particuology 2021; 55:108-17.

[30]

Liu D, Xia S, Tang H, Zhong D, Wang B, Cai X, et al. Parameter optimization of PEMFC stack under steady working condition using orthogonal experimental design. Int J Energy Res 2019; 43(7):2571-82.

[31]

Koopman BO. Hamiltonian systems and transformation in Hilbert space. Proc Natl Acad Sci USA 1931; 17(5):315-8.

PDF (3564KB)

3707

Accesses

0

Citation

Detail

Sections
Recommended

/