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MATLAB Implementation of Proton Exchange Membrane Fuel Cells

MATLAB Implementation of Proton Exchange Membrane Fuel Cells

Introduction

We delve into the modeling and simulation of PEM fuel cells, providing insights into the theoretical framework and practical implementation. Viewers are encouraged to subscribe for more educational content.

Key Equations for Fuel Cell Voltage

The primary equation for fuel cell voltage (VfcV_{fc}Vfc​) is derived from several contributing factors:

  1. Overall Voltage Equation:Vfc=E−Vactivation−Vom−VconcentrationV_{fc} = E - V_{activation} - V_{om} - V_{concentration}Vfc​=E−Vactivation​−Vom​−Vconcentration​This equation accounts for the thermodynamic potential, activation losses, ohmic losses, and concentration losses.

  2. Stack Voltage Calculation:For nnn cells connected in series, the total voltage is given by:Vs=n×VfcV_{s} = n \times V_{fc}Vs​=n×Vfc​

Voltage Components

1. Thermodynamic Voltage

  • Depends on temperature and the pressures of hydrogen and oxygen.

2. Activation Voltage

  • Influenced by temperature and other parameters specific to the fuel cell.

3. Ohmic Potential

  • Calculated as I⋅RMI \cdot R_{M}I⋅RM​ + RCR_{C}RC​ (where RCR_{C}RC​ is contact resistance and RMR_{M}RM​ is membrane resistance).

4. Concentration Voltage

  • Describes the voltage drop due to the decrease in reactant concentrations.

Simulation Process

Using MATLAB, the simulation follows these steps:

  1. Data Input: Gather parameters such as active area, thickness, temperature, and resistances from reference papers.

  2. Graph Generation: Create a loop to calculate voltage and current based on varying input conditions, allowing for the generation of response graphs.

  3. Parameter Variation: Adjust parameters (e.g., Zeta values) and observe how the output graphs shift, indicating the relationship between cell performance and varying conditions.

Results and Observations

The simulated results align closely with those presented in the reference paper, validating the model's accuracy. Notably, changing parameters results in distinct shifts in the voltage-current graph, reflecting the complex behavior of fuel cell systems.


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