Generalized predictive control for fractional order dynamic model of solid oxide fuel cell output power

An adaptive generalized predictive control (GPC) system is presented for the management of output power of solid oxide fuel cells (SOFCs). The dynamics of SOFC output power are characterized by a fractional order model, which is more accurate than an integer order model to depict the dynamics; the fractional order dynamic model is taken as the controlled plant of the GPC system. The GPC algorithm adopts a linear approximation method that uses a linear predictive model to approximate locally and dynamically the nonlinear dynamics of SOFC output power at each sampling period. Moreover, the parameters of the predictive model are identified online to overcome the time-varying dynamics of SOFC output power via introducing a forgetting factor recursive least squares (FFRLS) algorithm. Finally, according to the future power outputs predicted by the predictive model, an optimal current control sequence is obtained by solving a multistage cost function. The results demonstrate that the dynamic responses of the GPC system are quick and smooth, and the change of the current control sequence is slow and smooth. The quick and smooth dynamics are important for satisfying the rapid load following of SOFC generating systems and for prolonging the lifetime of SOFC stack.

[1]  Jie Yang,et al.  Predictive control of solid oxide fuel cell based on an improved Takagi-Sugeno fuzzy model , 2009 .

[2]  M. Khaleel,et al.  Three-dimensional thermo-fluid electrochemical modeling of planar SOFC stacks , 2003 .

[3]  Riccardo Scattolini,et al.  Output feedback and tracking of nonlinear systems with model predictive control , 2001, Autom..

[4]  Belkacem Ould-Bouamama,et al.  Model based PEM fuel cell state-of-health monitoring via ac impedance measurements , 2006 .

[5]  James Larminie,et al.  Fuel Cell Systems Explained , 2000 .

[6]  Xingjian Xue,et al.  Transient Modeling of Anode-Supported Solid Oxide Fuel Cells , 2009 .

[7]  Li Xi,et al.  Modeling for electrical characteristics of solid oxide fuel cell based on fractional calculus , 2009, 2009 Chinese Control and Decision Conference.

[8]  Zhonghua Deng,et al.  Dynamic modeling of electrical characteristics of solid oxide fuel cells using fractional derivatives , 2010 .

[9]  Jie Yang,et al.  Control-oriented thermal management of solid oxide fuel cells based on a modified Takagi-Sugeno fuzzy model , 2009 .

[10]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[11]  Francisco Jurado,et al.  Predictive control of solid oxide fuel cells using fuzzy Hammerstein models , 2006 .

[12]  N. Woudstra,et al.  Three-dimensional thermo-fluid and electrochemical modeling of anode-supported planar solid oxide fuel cell , 2010 .

[13]  E. McAdams,et al.  The linear and non-linear electrical properties of the electrode-electrolyte interface , 1995 .

[14]  Xin-Jian Zhu,et al.  Predictive control of SOFC based on a GA-RBF neural network model , 2008 .

[15]  I. Podlubny.  Fractional differential equations , 1998 .

[16]  S. Kakaç,et al.  A review of numerical modeling of solid oxide fuel cells , 2007 .

[17]  Xiongwen Zhang,et al.  Nonlinear model predictive control based on the moving horizon state estimation for the solid oxide fuel cell , 2008 .

[18]  Alex C. Hoffmann,et al.  Effects of heat sources on the performance of a planar solid oxide fuel cell , 2010 .

[19]  Guang-Yi Cao,et al.  Modeling and control of PEMFC based on least squares support vector machines , 2006 .

[20]  Fan Yang,et al.  Nonlinear predictive control of a molten carbonate fuel cell stack , 2008 .

[21]  Y. Chen,et al.  Continued Fraction Expansion Approaches to Discretizing Fractional Order Derivatives—an Expository Review , 2004 .

[22]  F. Jabbari,et al.  Feedback control of solid oxide fuel cell spatial temperature variation , 2010 .

[23]  David W. Clarke,et al.  Generalized predictive control - Part I. The basic algorithm , 1987, Autom..

[24]  Dong Wei,et al.  Control-oriented dynamic fuzzy model and predictive control for proton exchange membrane fuel cell stack , 2006 .

[25]  Gang Feng,et al.  Rapid Load Following of an SOFC Power System via Stable Fuzzy Predictive Tracking Controller , 2009, IEEE Trans. Fuzzy Syst..

[26]  Jie Yang,et al.  Nonlinear model predictive control of SOFC based on a Hammerstein model , 2008 .

[27]  Y. Inui,et al.  Analytical investigation on cell temperature control method of planar solid oxide fuel cell , 2006 .

[28]  Daniel R. Lewin,et al.  Model-based Control of Fuel Cells: (1) Regulatory Control , 2004 .