Hydrogen, Electrolysers & Fuel Cells
The hydrogen economy explained. Learn hydrogen properties and colours (grey, blue, green), production (steam methane reforming, electrolysis — alkaline, PEM, solid oxide), electrolyser efficiency and specific energy, storage (compressed, liquid, carriers like ammonia), fuel cells (PEMFC, SOFC), cell voltage and polarisation, round-trip efficiency, safety, end uses (steel, fertiliser, refining, mobility) and costs — with Python for electrolysis and fuel-cell sizing.
Hydrogen carries energy without CO₂ at the point of use and can decarbonise sectors that are hard to electrify: steelmaking, fertilisers, refining, shipping fuels and long-duration storage. India's National Green Hydrogen Mission targets 5 Mt/yr of green hydrogen by 2030.
But hydrogen is only as clean as the electricity used to make it, and every conversion loses energy — so engineering must focus on where hydrogen adds the most value.
An analogy
Hydrogen is like a rechargeable 'energy courier': electricity splits water to load it (electrolysis), it travels or waits in storage, then a fuel cell unloads it as electricity again — but the courier charges a hefty fee (losses) for each trip.
Hydrogen colours and uses
Grey hydrogen comes from natural gas by steam methane reforming (~10 kg CO₂ per kg H₂); blue adds carbon capture; green uses renewable electricity for electrolysis; others include pink (nuclear) and brown (coal). Today hydrogen is mostly used in refineries and ammonia plants; future uses include green steel (DRI), fertilisers, e-fuels, heavy transport and storage.
Electrolysers
Main technologies:
- Alkaline (AEL) — mature, cheap, KOH electrolyte, less flexible
- PEM — compact, fast response to variable renewables, uses platinum-group metals
- Solid oxide (SOEC) — 700–850 °C, highest efficiency with waste heat
- AEM — emerging, PGM-free membranes
- System SEC 50–55 kWh/kg today; water use ~9–10 L/kg (plus treatment)
Storage and transport
Hydrogen is light but bulky: compressed (350–700 bar, compression costs ~5–10% of energy), liquid (−253 °C, liquefaction ~30%), or carried in molecules (ammonia, methanol, LOHC) or salt caverns. Pipelines can carry hydrogen (with embrittlement-resistant steels). Leaks and wide flammability range (4–75%) demand careful safety engineering.
Fuel cells and economics
Fuel cells convert hydrogen directly to electricity: PEMFC (vehicles, backup), SOFC (stationary, high efficiency, fuel-flexible). Cell voltage falls from 1.23 V due to activation, ohmic and mass-transport losses (polarisation curve); efficiency ≈ V/1.25. Levelised cost of hydrogen depends on electricity price, capacity factor and electrolyser capex; policy incentives (SIGHT in India, IRA in the US) aim for ≤ $2/kg.
Formulas
- Electrolysis:
2H₂O → 2H₂ + O₂; E_rev = 1.23 V, thermoneutral 1.48 V - Electrolyser efficiency:
η = HHV / SEC (or LHV/SEC) - Faraday's law:
ṁ_H₂ = I·M/(2F) (per cell) - Fuel-cell power:
P = V_cell × j × A × N_cells - Fuel-cell efficiency:
η ≈ V_cell/1.25 (LHV basis) - Round trip:
η_rt = η_electrolyser × η_storage × η_FC
Worked example: Electricity for 1 t H₂
Given: SEC 52 kWh/kg
Find: Electricity.
- 1000 × 52
Answer: 52 MWh
Worked example: Faraday
Given: 1000 A through one cell for 1 h
Find: H₂ produced.
- 1000 × 3600 × 2.016/(2 × 96 485)
Answer: 37.6 g
Worked example: Fuel-cell efficiency
Given: Cell at 0.70 V
Find: LHV efficiency.
- 0.70/1.25
Answer: ≈ 56%
Power-to-hydrogen-to-power chain
# Electrolysis and fuel cell energy chain
LHV_H2 = 33.3 # kWh/kg (lower heating value)
HHV_H2 = 39.4
elec_per_kg = 52.0 # kWh/kg for a PEM electrolyser system
print(f"electrolyser efficiency (HHV) {HHV_H2/elec_per_kg*100:.0f}%, (LHV) {LHV_H2/elec_per_kg*100:.0f}%")
fc_eff = 0.55
print(f"round trip power-to-H2-to-power: {LHV_H2/elec_per_kg*fc_eff*100:.0f}%")
# Fuel cell stack: 0.7 V per cell at 1 A/cm2, 300 cm2 cells, 100 kW
V_cell, j, area = 0.7, 1.0, 300
P_cell = V_cell * j * area
print(f"cells needed for 100 kW: {100000/P_cell:.0f}, H2 use {100/fc_eff/LHV_H2:.2f} kg/h")
print(f"green H2 cost at Rs 3/kWh electricity: Rs {elec_per_kg*3:.0f}/kg (electricity only)")
# electrolyser efficiency (HHV) 76%, (LHV) 64%
# round trip power-to-H2-to-power: 35%
# cells needed for 100 kW: 476, H2 use 5.46 kg/h
# green H2 cost at Rs 3/kWh electricity: Rs 156/kg (electricity only)Power-to-hydrogen-to-power returns only ~35% of the electricity (batteries return ~90%), so hydrogen makes sense for seasonal storage or where molecules are needed (steel, ammonia). Electricity dominates green hydrogen cost: cheap renewables below ₹2/kWh and high electrolyser utilisation are essential.
Common mistakes
- Wrong: Using hydrogen where direct electrification works. — Right: Batteries/heat pumps are 2–3× more efficient.
- Wrong: Ignoring compression and storage energy. — Right: Include them in the chain efficiency.
- Wrong: Underestimating leaks and embrittlement. — Right: Follow hydrogen safety codes (ISO 19880, NFPA 2).
Applications
- Green steel: Hydrogen DRI replacing coking coal.
- Green ammonia: Fertiliser and shipping fuel.
- Refineries: Replacing grey hydrogen.
- Heavy mobility: Fuel-cell trucks, buses, trains.
Key takeaways
- Green H₂ from renewable electrolysis; SEC ~52 kWh/kg.
- Round trip ~35% — use where molecules are needed.
- Storage: compression, liquefaction, ammonia.
- Fuel cells: η ≈ V/1.25.
Going further
- LCOH modelling: Levelised cost of hydrogen vs capacity factor.
- Salt-cavern storage: Seasonal hydrogen storage at scale.
- Ammonia cracking: Recovering H₂ from NH₃ carriers.