A Regularized Real-Time Integrator for Data-Driven Control of Heating Channels

In many contexts of scientific computing and engineering science, phenomena are monitored over time and data are collected as time-series. Plenty of algorithms have been proposed in the field of time-series data mining, many of them based on deep learning techniques. High-fidelity simulations of complex scenarios are truly computationally expensive and a real-time monitoring and control could be efficiently achieved by the use of artificial intelligence. In this work we build accurate data-driven models of a two-phase transient flow in a heated channel, as usually encountered in heat exchangers. The proposed methods combine several artificial neural networks architectures, involving standard and transposed deep convolutions. In particular, a very accurate real-time integrator of the system has been developed.

[1]  Stefan Palis,et al.  Koopman-based data-driven control for continuous fluidized bed spray granulation with screen-mill-cycle , 2021, Journal of Process Control.

[2]  F. Chinesta,et al.  Learning stable reduced-order models for hybrid twins , 2021, Data-Centric Engineering.

[3]  Colin N. Jones,et al.  Koopman based data-driven predictive control , 2021, 2102.05122.

[4]  Clarence W. Rowley,et al.  Koopman Operators for Estimation and Control of Dynamical Systems , 2021, Annu. Rev. Control. Robotics Auton. Syst..

[5]  Kanglong Zhang,et al.  The multiscale thermal‐hydraulic simulation for nuclear reactors: A classification of the coupling approaches and a review of the coupled codes , 2020, International Journal of Energy Research.

[6]  C. Clementi,et al.  Data-driven approximation of the Koopman generator: Model reduction, system identification, and control , 2019, Physica D: Nonlinear Phenomena.

[7]  Staf Roels,et al.  Neural networks for metamodelling the hygrothermal behaviour of building components , 2019, Building and Environment.

[8]  Haritza Camblong,et al.  A Nonlinear Autoregressive Exogenous (NARX) Neural Network Model for the Prediction of the Daily Direct Solar Radiation , 2018 .

[9]  Sepp Hochreiter,et al.  Self-Normalizing Neural Networks , 2017, NIPS.

[10]  Sandra M. Guzmán,et al.  The Use of NARX Neural Networks to Forecast Daily Groundwater Levels , 2017, Water Resources Management.

[11]  Steven L. Brunton,et al.  Randomized Dynamic Mode Decomposition , 2017, SIAM J. Appl. Dyn. Syst..

[12]  Maria del Carmen Pegalajar Jiménez,et al.  An Application of Non-Linear Autoregressive Neural Networks to Predict Energy Consumption in Public Buildings , 2016 .

[13]  Francesco Visin,et al.  A guide to convolution arithmetic for deep learning , 2016, ArXiv.

[14]  Jimmy Ba,et al.  Adam: A Method for Stochastic Optimization , 2014, ICLR.

[15]  Stéphane Dellacherie,et al.  Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law , 2014 .

[16]  Clarence W. Rowley,et al.  A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition , 2014, Journal of Nonlinear Science.

[17]  Rob Fergus,et al.  Visualizing and Understanding Convolutional Networks , 2013, ECCV.

[18]  Graham W. Taylor,et al.  Adaptive deconvolutional networks for mid and high level feature learning , 2011, 2011 International Conference on Computer Vision.

[19]  P. Emonot,et al.  CATHARE-3: A new system code for thermal-hydraulics in the context of the NEPTUNE project , 2011 .

[20]  Hang Xie,et al.  Time series prediction based on NARX neural networks: An advanced approach , 2009, 2009 International Conference on Machine Learning and Cybernetics.

[21]  Paolo Rapisarda,et al.  Data-driven simulation and control , 2008, Int. J. Control.

[22]  Guilherme De A. Barreto,et al.  Long-term time series prediction with the NARX network: An empirical evaluation , 2008, Neurocomputing.

[23]  Eugen Diaconescu,et al.  The use of NARX neural networks to predict chaotic time series , 2008 .

[24]  Dobrivoje Popovic,et al.  Computational Intelligence in Time Series Forecasting: Theory and Engineering Applications (Advances in Industrial Control) , 2005 .

[25]  Christian Wöhler,et al.  Real-time object recognition on image sequences with the adaptable time delay neural network algorithm - applications for autonomous vehicles , 2001, Image Vis. Comput..

[26]  J. A. Stewart,et al.  Nonlinear Time Series Analysis , 2015 .

[27]  Les E. Atlas,et al.  Recurrent neural networks and robust time series prediction , 1994, IEEE Trans. Neural Networks.

[28]  Geoffrey E. Hinton,et al.  Phoneme recognition using time-delay neural networks , 1989, IEEE Trans. Acoust. Speech Signal Process..

[29]  P. Young,et al.  Time series analysis, forecasting and control , 1972, IEEE Transactions on Automatic Control.

[30]  G. Ivan Maldonado,et al.  History of PWR and BWR Development , 2021 .

[31]  Sanjeev Khudanpur,et al.  A time delay neural network architecture for efficient modeling of long temporal contexts , 2015, INTERSPEECH.

[32]  Wang Bing-hua Status and Trends of Thermal-Hydraulic System Codes for Nuclear Power Plants With Pressurized Water Reactors , 2009 .

[33]  D. S. G. Pollock,et al.  A handbook of time-series analysis, signal processing and dynamics , 1999 .

[34]  W. Keller,et al.  PRESSURIZED WATER REACTORS. , 1968 .