# OPEM Report (Larminie-Dicks Model)

## What is Larminie-Dicks ?

Larminie-Dicks model is obtained for large variation of the load parameters. In this model, the fuel cell is represented
by means of its voltage-current characteristic obtained in static operating mode. In fact, Larminie-Dicks static model
presents the fuel cell voltage as a function of the current magnitude. The obtained polarization curve is composed of
three main regions corresponding to the predominance of electrochemical activation phenomena (region I), a linear
part (region II) where the voltage drop is mainly due to electronic and ionic internal resistances and the last
region where the diffusion kinetics of gases through the electrodes becomes the limiting factor (region III). This
last zone is characterized by a rapid voltage fall.

## Inputs

Input |
Description |
Value |

A |
The slope of the Tafel line [V] |
0.06 |

E0 |
Fuel cell reversible no loss voltage [V] |
1.178 |

N |
Number of single cells |
23 |

RM |
The membrane and contact resistances [ohm] |
0.0018 |

T |
Cell operation temperature [K] |
328.15 |

i-start |
Cell operating current start point [A] |
0.1 |

i-step |
Cell operating current step |
0.1 |

i-stop |
Cell operating current end point [A] |
98 |

i_0 |
Exchange current at which the overvoltage begins to move from zero [A] |
0.00654 |

i_L |
Limiting current [A] |
100.0 |

i_n |
Internal current [A] |
0.23 |

## Overall Parameters

Parameter |
Description |
Value |

Efficiency|Pmax |
Cell efficiency at maximum power |
0.25725926730148363 |

Pmax |
Maximum power [W] |
851.9716897447387 |

Ptotal(Elec) |
Total electrical power [W] |
1255.5150058655731 |

Ptotal(Thermal) |
Total thermal power [W] |
1511.2469941344268 |

VFC|Pmax |
Cell voltage at maximum power [V] |
9.230462510777233 |

## Graphs

Parameter |
Description |
Value |

K |
Slope of the curve obtained by linear approximation [A^(-1)] |
-0.09133188736027087 |

Pmax(L-Approx) |
Maximum power obtained by linear approximation [W] |
820.6729592830923 |

V0 |
Intercept of the curve obtained by linear approximation [V] |
17.31515062329676 |

VFC|Pmax(L-Approx) |
Cell voltage at maximum power obtained by linear approximation [V] |
8.65757531164838 |

Generated By OPEM Version 1.3