One of the more interesting stack ideas for fuel cells is phosphoric acid based units.
AS all fuel cells these require special materials and the cooling of machines is a bit tricky! Thermgym can really help out here.
Comparison of Fuel Cell Types: PAFC, MCFC, AFC, and SOFC
| Characteristic | PAFC | MCFC | AFC | SOFC | 
|---|---|---|---|---|
| Operating Temperature | 150-200°C | 600-700°C | 60-90°C | 600-1000°C | 
| Electrolyte | H₃PO₄ | Molten carbonate | KOH solution | Ceramic (YSZ) | 
| Charge Carrier | H⁺ | CO₃²⁻ | OH⁻ | O²⁻ | 
| Fuel Flexibility | H₂, reformed hydrocarbons | H₂, CO, hydrocarbons | Pure H₂ | H₂, CO, hydrocarbons | 
| CO Tolerance | Up to 1-2% | Fuel | Poison (<10 ppm) | Fuel | 
| CO₂ Tolerance | High | Required in cathode | Poison | High | 
| Electrical Efficiency | 40-50% | 50-60% | 60-70% | 50-60% | 
| Power Density | 0.1-0.3 W/cm² | 0.1-0.2 W/cm² | 0.2-0.3 W/cm² | 0.5-1.0 W/cm² | 
| Start-up Time | Hours | Hours | Quick | Hours | 
| Lifetime | >40,000 hours | >40,000 hours | <10,000 hours | >40,000 hours | 
Advantages and Disadvantages
PAFC
Advantages:
- Good CO tolerance
 - Stable electrolyte
 - High-quality waste heat
 - Long lifetime
 
Disadvantages:
- Expensive catalysts (Pt)
 - Corrosive electrolyte
 - Moderate efficiency
 
Thermogym can use Hastelloy C-276 for fin and tube heat exchangers that offer excellent heat transfer with excellent corrosion resistance.
Let’s do a deep dive into these to really understand.
Phosphoric Acid Fuel Cells (PAFCs): Advanced Analysis
Fundamental Principles
PAFCs operate on the electrochemical principle of separating the oxidation of hydrogen and reduction of oxygen into two half-reactions:
- Anode reaction: 2H₂ → 4H⁺ + 4e⁻
 - Cathode reaction: O₂ + 4H⁺ + 4e⁻ → 2H₂O
 
The overall cell reaction is: 2H₂ + O₂ → 2H₂O
Electrolyte Characteristics
- Composition: Concentrated phosphoric acid (H₃PO₄), typically >95% concentration
 - Operating temperature: 150-200°C
 - Proton conductivity: σ ≈ 0.05 S/cm at 150°C, increasing with temperature
 - Activation energy for proton conduction: Ea ≈ 16-20 kJ/mol
 
Electrode Kinetics
- Hydrogen Oxidation Reaction (HOR):
- Fast kinetics on Pt catalyst
 - Exchange current density: i₀ ≈ 1 mA/cm² (Pt, 180°C)
 
 - Oxygen Reduction Reaction (ORR):
- Rate-limiting step
 - Exchange current density: i₀ ≈ 10⁻⁸ to 10⁻⁷ mA/cm² (Pt, 180°C)
 - Tafel slope: b ≈ 90-120 mV/decade
 
 
Thermodynamics and Efficiency
- Standard cell potential: E⁰ = 1.23 V at 25°C
 - Actual cell potential: E ≈ 0.6-0.8 V under operating conditions
 - Efficiency: η = ΔG/ΔH ≈ 40-50% (electrical)
 - Combined heat and power efficiency: η_CHP ≈ 80-85%
 
Materials Science Aspects
- Electrodes:
- Anode and cathode: Porous carbon paper with Pt catalyst
 - Pt loading: typically 0.1-0.5 mg/cm²
 - Catalyst support: High surface area carbon black
 
 - Matrix:
- Silicon carbide (SiC) particles bonded with PTFE
 - Porosity: 50-60%
 - Thickness: 100-200 μm
 
 
Advantages Over Other Fuel Cell Types
- CO Tolerance:
- Can tolerate CO concentrations up to 1-2% at 190°C
 - CO adsorption on Pt is weakened at higher temperatures
 
 - Thermal Management:
- High-quality waste heat (150-200°C) suitable for cogeneration
 - Simplified cooling system compared to low-temperature fuel cells
 
 - Water Management:
- Phosphoric acid has a low vapor pressure, minimizing electrolyte loss
 - Product water is easily removed as vapor, simplifying water management
 
 - Long-term Stability:
- Demonstrated lifetimes >40,000 hours in stationary applications
 - Slow degradation rate: typically <10 μV/h
 
 
Challenges and Limitations
- Phosphoric Acid Management:
- Electrolyte volume changes with temperature and humidity
 - Potential for acid leaching at high current densities
 
 - Cathode Catalyst Degradation:
- Pt dissolution and redeposition (Ostwald ripening)
 - Carbon support corrosion at high potentials
 
 - Start-up Time:
- Requires 3-4 hours to reach operating temperature from cold start
 
 - Power Density:
- Typical power density: 0.1-0.3 W/cm²
 - Lower than PEM fuel cells due to slower ORR kinetics in acid
 
 
Recent Advancements
- Novel Cathode Catalysts:
- Pt-Co and Pt-Ni alloys for enhanced ORR activity
 - Pyrolyzed Fe-N-C catalysts as potential Pt-free alternatives
 
 - High-Temperature Membranes:
- Phosphoric acid-doped polybenzimidazole (PBI) membranes
 - Operating temperatures up to 200°C with reduced acid leaching
 
 - Carbon Support Materials:
- Graphitized carbon blacks for improved corrosion resistance
 - Carbon nanotubes and graphene as high-conductivity supports
 
 
Thanks for your patience! I hoped this helped to understand!
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