Chamberlin-Kim static model is an empirical equation which was developed to fit the experimental cell potential (E) vs. current density (J) data for proton exchange membrane fuel cells (PEMFCs), at several temperatures, pressures, and oxygen compositions in the cathode gas mixture. The exponential term compensates for the mass-transport regions of the V vs. i plot; i.e., the increase in slope of the pseudolinear region and the subsequent rapid fall-off of the cell potential with increasing current density. The terms E0 and b yield the electrode kinetic parameters for oxygen reduction in the PEMFC and R represents the resistance, predominantly ohmic and, to a small extent, the charge transfer resistance of the electro-oxidation of hydrogen. The exponential term characterizes the mass-transport region of the V vs. i plot. The parameter n has more pronounced effects than the parameter m in this region. In Chamberline Kim's model, the values of the parameters(five parameters: E0, b, R, m, n) vary depending on many variables, including the composition of the Membrane Electrode Assemblies(MEA), the fuel and oxidant used, besides the local temperature, pressure, and humidity of the MEA. They also depend on the stack itself, so that it can not be transposed to another fuel cell without new parameter identification.

Input | Description | Value |

A | Active area [cm^2] | 50.0 |

E0 | Open circuit voltage [V] | 0.982 |

N | Number of single cells | 1 |

R | Resistance [ohm.cm^2] | 0.328 |

b | Tafel's parameter for the oxygen reduction [V] | 0.0689 |

i-start | Cell operating current start point [A] | 1 |

i-step | Cell operating current step | 0.1 |

i-stop | Cell operating current end point [A] | 42.5 |

m | Diffusion's parameters [V] (*Optional) | 0.000125 |

n | Diffusion's parameters [(A^-1)(cm^2)] (*Optional) | 9.45 |

Parameter | Description | Value |

Efficiency|Pmax | Cell efficiency at maximum power | 0.4626668383075613 |

Pmax | Maximum power [W] | 24.106792943177172 |

Ptotal(Elec) | Total electrical power [W] | 35.82827697893981 |

Ptotal(Thermal) | Total thermal power [W] | 15.093723021060224 |

VFC|Pmax | Cell voltage at maximum power [V] | 0.7217602677597956 |

Parameter | Description | Value |

K | Slope of the curve obtained by linear approximation [A^(-1)] | -0.01612214066335869 |

Pmax(L-Approx) | Maximum power obtained by linear approximation [W] | 22.8946129504538 |

V0 | Intercept of the curve obtained by linear approximation [V] | 1.2150887546518891 |

VFC|Pmax(L-Approx) | Cell voltage at maximum power obtained by linear approximation [V] | 0.6075443773259446 |

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