Nonlinear Model Predictive Control for Solid Oxide Fuel Cell System Based On Wiener Model

In this paper, we consider Wiener nonlinear model for solid oxide fuel cell (SOFC). The Wiener model of the SOFC consists of a linear dynamic block and a static output non-linearity followed by the block, in which linear part is approximated by state-space model and the nonlinear part is identified by a polynomial form. To control the SOFC system, we have to consider various view points such as operating conditions, another constraint conditions, change of load current and so on. A change of load current is the significant one of these for good performance of the SOFC system. In order to keep the constant stack terminal voltage by changing load current, the nonlinear model predictive control (MPC) is proposed in this paper. After primary control method is designed to guarantee the fuel utilization as a proper constant, a nonlinear model predictive control based on the Wiener model is developed to control the stack terminal voltage of the SOFC system. Simulation results verify the possibility of the proposed Wiener model and MPC method to control of SOFC system.

• T. H. Lee
• J. H. Park
• S. M. Lee
• S. C. Lee

• SOFC
• model predictive control
• Wiener model.

[1] W. Sangtongkitcharoen, S. Vivanpatarakij, et al., Chem. Eng. J. 138
(2008) 436.
[2] D.J. Hall, R.G. Colclaser, IEEE Trans. Energy Convers. 14 (1999) 749.
[3] C. Wang, M. Hashem Nehrir, IEEE Trans. Energy Convers. 22 (2007)
887.
[4] A. Selimovic, M. Kemm, et al., Journal Power Sources 145 (2005) 463.
[5] H.H Huo, X.J. Zhu, ea al., Journal Power Sources 185 (2008) 338.
[6] X.J. Wu, X.J. Zhu et al., Journal Power Sources 179 (2008) 232.
[7] M. Verhaegen, Chemical Engineering Communications, 163 (1998) 111.
[8] E. Eskinat, S.H. Johnson, and W.L. Luyben, AIChE Journal, 37 (1991)
255.
[9] S. J. Norquay, A. Palazoglu, and J.A. Romagnoli,IEEE Trans. Control
Systems Tech. 7 (1999) 437.
[10] M.V. Kothare, V. Balakrishnan, and M. Morari, Automatica, vol. 32
(1996) 1361.
[11] J.B. Rawlings, K.R. Muske, IEEE Trans. Automat. Contr. 38 (1993)
1512.
[12] M.J. Kim, W.H. Kwon, et al., Journal of Guidance, Control, and
Dynamics, 20 (1997).
[13] W. Wang, and R. Hendriksen, Modeling, Identification and Control, 15
(1994) 253.
[14] S. Gerksic, D. Juricic, et al., International Journal of Systems Science,
31 (2000) 189.
[15] S.J. Norquay, A. Palazoglu, and J.A. Romagnoli, Chemical Engineering
Science, 53 (1998) 75.
[16] C. Wang, M.H. Nehrir, IEEE Trans. Energy Convers. 22 (2007) 887.
[17] C. Wang, M.H. Nehrir, IEEE Trans. Energy Convers. 22 (2007) 898.
[18] S.M. Lee, D.H. Lee, S.C. Won, SICE Annual Conference in Fukui,
August 4-6 (2003).
[19] S.J. Norquay, A. Palazoglu, and J.A. Romagnoli, Chemical Engineering
Science, 53 (1998) 75.
[20] http://www.coe.montana.edu/ee/fuelcell/