This paper illustrates the benefits of a self-tuning PID strategy applied to a proton exchange membrane fuel cell system. Controller parameters are updated on-line, at each sampling time, based on an instantaneous linearization of an artificial neural network model of the process and a General Minimum Variance control law. The self-tuning PID scheme allows managing nonlinear behaviors of the system while avoiding heavy computations. The applicability, efficiency and robustness of the proposed control strategy are experimentally confirmed using varying control scenarios. In this aim, the original built-in controller is overridden and the self-tuning PID controller is implemented externally and executed on-line. Experimental results show good performance in setpoint tracking accuracy and robustness against plant/model mismatch. The proposed strategy appears to be a promising alternative to heavy computation nonlinear control strategies and not optimal linear control strategies.
Larminie, J. and Dicks, A. (2003) Fuel Cell Systems Explained. John Wiley & Sons Ltd., Hoboken.<br/〉http://dx.doi.org/10.1002/9781118878330
Wang, C. and Nehrir, M.H. (2007) Load Transient Mitigation for Stand-Alone Fuel Cell Power Generation Systems. IEEE Transactions on Energy Conversion, 22, 864-872. http://dx.doi.org/10.1109/TEC.2006.881081
Wang, C., Nehrir, M.H. and Gao, H. (2006) Control of PEM Fuel Cell Distributed Generation Systems. IEEE Transactions on Energy Conversion, 21, 586-595. http://dx.doi.org/10.1109/TEC.2005.860404
Huang, S.R., Lin, C.Y., Wu, C.C. and Yang, S.J. (2008) The Application of Fuzzy Controller for Fuel Cell Generating Studies. International Journal of Hydrogen Energy, 33, 5205-5217.<br/〉http://dx.doi.org/10.1016/j.ijhydene.2008.05.018
Wang, F.C. and Ko, C.C. (2010) Multivariable Robust PID Control for a PEMFC System. International Journal of Hydrogen Energy, 35, 10437-10445. http://dx.doi.org/10.1016/j.ijhydene.2010.07.111
Methekar, R.N., Prasad, V. and Gudi, R.D. (2007) Dynamic Analysis and Linear Control Strategies for Proton Exchange Membrane Fuel Cell Using Distributed Parameter Model. Journal of Power Sources, 165, 152-170.<br/〉http://dx.doi.org/10.1016/j.jpowsour.2006.11.047
Li, Q., Chen, W., Wang, Y., Jia, J. and Han, M. (2009) Nonlinear Robust Control of Proton Exchange Membrane Fuel Cell by State Feedback Exact Linearization. Journal of Power Sources, 194, 338-348.<br/〉http://dx.doi.org/10.1016/j.jpowsour.2009.04.077
Hatti, M. and Tioursi, M. (2009) Dynamic Neural Network Controller Model of PEM Fuel Cell System. International Journal of Hydrogen Energy, 34, 5015-5021. http://dx.doi.org/10.1016/j.ijhydene.2008.12.094
Hasikos, J., Sarimveis, H., Zervas, P.L. and Markatos, N.C. (2009) Operational Optimization and Real-Time Control of Fuel-Cell Systems. Journal of Power Sources, 193, 258-268. http://dx.doi.org/10.1016/j.jpowsour.2009.01.048
Shokuhi-Rad, A., Jamali, A., Naghashzadegan, M., Nariman-Zadeh, N. and Hajiloo, A. (2012) Optimum Pareto Design of Non-Linear Predictive Control with Multi-Design Variables for PEM Fuel Cell. International Journal of Hydrogen Energy, 37, 11244-11254. http://dx.doi.org/10.1016/j.ijhydene.2012.03.092
Wu, W., Xu, J.P. and Hwang, J.J. (2009) Multi-Loop Nonlinear Predictive Control Scheme for a Simplistic Hybrid Energy System. International Journal of Hydrogen Energy, 34, 3953-3964.<br/〉http://dx.doi.org/10.1016/j.ijhydene.2009.02.060
Gruber, J., Doll, M. and Bordons, C. (2009) Design and Experimental Validation of a Constrained MPC for the Air Feed of a Fuel Cell. Control Engineering Practice, 17, 874-885. http://dx.doi.org/10.1016/j.conengprac.2009.02.006
Ziogou, C., Papadopoulou, S., Georgiadis, M.C. and Voutetakis, S. (2013) On-Line Nonlinear Model Predictive Control of a PEM Fuel Cell System. Journal of Process Control, 23, 483-492.<br/〉http://dx.doi.org/10.1016/j.jprocont.2013.01.011
Damour, C., Benne, M., Kadjo, A., Rosini, S. and Grondin-Perez, B. (2013) Fast NMPC Scheme of a 10 kW Commercial PEMFC. International Journal of Hydrogen Energy, 38, 7407-7413.<br/〉http://dx.doi.org/10.1016/j.ijhydene.2013.04.019
Nguyen, T.V. and White R.E. (1993) A Water and Heat Management Model for Proton Exchange-Membrane Fuel Cells. Journal of the Electrochemical Society, 140, 2178-2186. http://dx.doi.org/10.1149/1.2220792
Yi, J.S. and Nguyen, T.V. (1998) An Along-the-Channel Model for Proton Exchange Membrane Fuel Cells. Journal of the Electrochemical Society, 145, 1149-1159. http://dx.doi.org/10.1149/1.1838431
Um, S., Wang, C.Y. and Chen, K.S. (2000) Computational Fluid Dynamics Modeling of Proton Exchange Membrane Fuel Cells. The Electrochemical Society, 147, 4485-4493. http://dx.doi.org/10.1149/1.1394090
Wang, Z.H., Wang, C.Y. and Chen, K.S. (2001) Two-Phase Flow and Transport in the Air Cathode of Proton Exchange Membrane Fuel Cells. Journal of Power Sources, 94, 40-50. http://dx.doi.org/10.1016/S0378-7753(00)00662-5
Dutta, S., Shimpalee, S. and Van Zee, J.W. (2000) Three-Dimensional Numerical Simulation of Straight Channel PEM Fuel Cells. Journal of Applied Electrochemistry, 30, 135-146. http://dx.doi.org/10.1023/A:1003964201327
Berning, T., Lu, D. and Djilali, N. (2002) Three-Dimensional Computational Analysis of Transport Phenomena in a PEM Fuel Cell. Journal of Power Sources, 106, 284-294. http://dx.doi.org/10.1016/S0378-7753(01)01057-6
Um, S. and Wang, C.Y. (2004) Three-Dimensional Analysis of Transport and Electrochemical Reactions in Polymer Electrolyte Fuel Cells. Journal of Power Sources, 125, 40-51. http://dx.doi.org/10.1016/j.jpowsour.2003.07.007
Bernardi, D.M. and Verbrugge, M.W. (1992) A Mathematical Model of the Solid-Polymer-Electrolyte Fuel Cell. Journal of the Electrochemical Society, 139, 2477-2491. http://dx.doi.org/10.1149/1.2221251
Springer, T.E., Zawodzinski, T.A. and Gottesfeld, S. (1991) Polymer Electrolyte Fuel Cell Model. Journal of the Electrochemical Society, 138, 2334-2342. http://dx.doi.org/10.1149/1.2085971
Yi, J.S. and Nguyen, T.V. (1998) An Along-the-Channel Model for Proton Exchange Membrane Fuel Cells. Journal of the Electrochemical Society, 145, 1149-1159. http://dx.doi.org/10.1149/1.1838431
Gurau, V., Liu, H. and Kakac, S. (1998) Two-Dimensional Model for Proton Exchange Membrane Fuel Cells. AIChE Journal, 44, 2410-2422. http://dx.doi.org/10.1002/aic.690441109
Hu, M., Gu, A., Wang, M., Zhu, X. and Yu, L. (2004) Three Dimensional, Two Phase Flow Mathematical Model for PEM Fuel Cell: Part I. Model Development. Energy Conversion and Management, 45, 1861-1882.<br/〉http://dx.doi.org/10.1016/j.enconman.2003.09.022
Rowe, A. and Li, X. (2001) Mathematical Modeling of Proton Exchange Membrane Fuel Cells. Journal of Power Source, 102, 82-96. http://dx.doi.org/10.1016/S0378-7753(01)00798-4
Saengrung, A., Abtahi, A. and Zilouchian, A. (2007) Neural Network Model for a Commercial PEM Fuel Cell System. Journal of Power Sources, 172, 749-759. http://dx.doi.org/10.1016/j.jpowsour.2007.05.039
Sisworahardjo, N.S., Yalcinoz, T., El-Sharkh, M.Y. and Alam, M.S. (2010) Neural Network Model of 100 W Portable PEM Fuel Cell and Experimental Verification. International Journal of Hydrogen Energy, 35, 9104-9109.<br/〉http://dx.doi.org/10.1016/j.ijhydene.2010.05.124
Chavez-Ramirez, A.U., Munoz-Guerrero, R., Duron-Torres, S.M., Ferraro, M., Brunaccini, G., Sergi, F., Antonucci, V. andArriaga, L.G. (2010) High Power Fuel Cell Simulator Based on Artificial Neural Network. International Journal of Hydrogen Energy, 35, 12125-12133. http://dx.doi.org/10.1016/j.ijhydene.2009.09.071
Kadjo, A.J.J., Brault, P., Caillard, A., Coutanceau, C., Garnier, J.P. and Martemianov, S. (2007) Improvement of Proton Exchange Membrane Fuel Cell Electrical Performance by Optimization of Operating Parameters and Electrodes Preparation. Journal of Power Sources, 172, 613-622. http://dx.doi.org/10.1016/j.jpowsour.2007.05.019
Chen, J. and Huang, T.-C. (2004) Applying Neural Networks to On-Line Uptdated PID Controller for Nonlinear Process Control. Journal of Process Control, 14, 211-230. http://dx.doi.org/10.1016/S0959-1524(03)00039-8
Beyou, S., Grondin-Perez, B., Benne, M., Damour, C. and Chabriat, J.P. (2009) Control Improvement of a C Sugar Cane Crystallization Using an Auto-Tuning PID Controller Based on Linearization of a Neural Network. Proceeding of the World Academy of Science Engineering and Technology, Paris, June 2009, 190-195.