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Controlling natural convection in a closed thermosyphon using neural networks

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Abstract.

The aim of this paper is to present a neural network-based approach to identification and control of a rectangular natural circulation loop. The first part of the paper defines a NARMAX model for the prediction of the experimental oscillating behavior characterizing the fluid temperature. The model has been generalized and implemented by means of a Multilayer Perceptron Neural Network that has been trained to simulate the system experimental dynamics. In the second part of the paper, the NARMAX model has been used to simulate the plant during the training of another neural network aiming to suppress the undesired oscillating behavior of the system. In order to define the neural controller, a cascade of several couples of neural networks representing both the system and the controller has been used, the number of couples coinciding with the number of steps in which the control action is exerted.

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References

  1. Vijayan PK; Nayak AK; Pilkhwal DS; Saha D; Venkat Raj V (1992) Effect of loop diameter on the stability of single-phase natural circulation in rectangular loops. Proc 5th Int Topical Meeting on Reactor Thermal Hydraulics (NURETH-5), Salt Lake City, USA, 1: 261–267

  2. Miettinen J; Kervinen T; Tomisto H; Kantee H (1987) Oscillations of single-phase natural circulation during overcooling transient. Proc ANS Topical Meeting, Atlanta, USA 1: 20–29

  3. Greif R; Zvirin Y; Mertol A (1979) The transient and stability behavior of a natural convention loop. Trans ASME 101: 684–688

  4. Kreitlow DB; Reistad GM; Miles CR; Culver GG (1978) Thermosyphon models for downhole heat exchanger applications in shallow geothermal systems. ASME J Heat Tr 100: 713–719

  5. Zvirin Y; Shitzer A; Bartal-Bornstein A (1978) On the stability of the natural circulation solar heater. Proc 6th Int Heat Transfer Conf, Toronto, Canada 20: 997–999

  6. Wang Y; Singer J; Bau HH (1992) Controlling chaos in a thermal convection loop. J Fluid Mech 37: 479–498

  7. Singer J; Wang Y; Bau HH (1991) Controlling a chaotic system. Phys Rev Lett 66: 1123–1125

  8. Sen M; Ramos E; Trevino C; Salazar O (1987) A one-dimensional model of a thermosyphon with Known wall temperature. Int J Heat Fluid Flow 8-3: 171–181

  9. Sen M; Ramos E; Trevino C (1985) The toroidal thermosyphon with known heat flux. Int J Heat Mass Transfer 28-1: 219–233

  10. Widman PJ; Gorman M; Robbins KA (1989) Nonlinear dynamics of a convection loop II: chaos in laminar and turbulent flows. Physica D 36: 255–267

  11. Fichera A; Froghieri M; Pagano A (2001) Comparison of the dynamical behaviour of rectangular natural circulation loops. Process Mech Eng J Part E4 215: 273–284

  12. Yuen PK; Bau HH (1999) Optimal and adaptive control of chaotic convection – theory and experiments. Phys Fluids 11-6: 1435–1448

  13. Yuen PK; Bau HH (1998) Controlling chaotic convection using neural networks – theory and experiments. Neural Networks 11: 557–569

  14. Cammarata L; Fichera A; Pagano A (2002) Validation of a model-based controller for a rectangular natural circulation loop. Heat Transfer VII, Adv Comput Meth Heat Transfer, WIT-Press, 483–492

  15. Lorenz EN (1963) Deterministic nonperiodic flow. J Atmos Sci 20: 131–141

  16. Cammarata L; Desrayaud G; Fichera A; Pagano A (2002) An ordinary differential model for rectangular circulation loops. 12th Int Heat Transfer Conference, Grenoble, Francia

  17. Cammarata G; Fichera A; Froghieri M; Misale M; Xibilia MG (1999) A new modelling methodology of natural circulation loop for stability analysis. Proc Eurotherm Seminar 63, Genova, Italy, pp 151–159

  18. Fichera A; Pagano A (2002) Neural network-based prediction of the oscillating behaviour of a closed loop thermosyphon. Int J Heat Mass Transfer 45: 3875–3884

  19. Chen S; Billings SA; Grant PM (1989) Representations of non-linear system: the NARMAX Model. Int J Control 43-5: 1013–1032

  20. Chen S; Billings SA; Grant PM (1990) Non-linear system identification using neural networks. Int J Control 51-6: 1191–1214

  21. Nguyen D; Widrow B (1990) Neural networks for self-learning control system. IEEE Control System Magazine 10-3: 18–23

  22. Boggs PT; Byrd RH; Schnabel RB (1987) A stable and efficient algorithm for nonlinear orthogonal distance regression. SIAM J Sci Statist Comput 8: 1052–1078

  23. Cammarata G; Fichera A; Guglielmino ID; Pagano A (2001) Preliminary control strategy for a natural circulation loop. Proc 19th UIT Conf, Modena, Italy pp 101–106

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Cammarata, L., Fichera, A. & Pagano, A. Controlling natural convection in a closed thermosyphon using neural networks. Heat and Mass Transfer 40, 525–531 (2004). https://doi.org/10.1007/s00231-002-0396-6

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