Submitted:
21 June 2025
Posted:
23 June 2025
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Literature Review
2.1. The Role of Green Hydrogen in Global Decarbonization
2.2. Overview of Electrolysis Technologies (PEM, Alkaline, SOEC)
2.3. Techno-Economic Landscape of Green Hydrogen
2.4. Comparative Context: UK and Costa Rica
2.4.1. Renewable Energy Profiles of the UK and Costa Rica
2.5. National Hydrogen Strategies and Targets
2.6. Modeling and Simulation in Green Hydrogen Project Analysis
2.7. Machine Learning and Regression-Based Forecasting in Hydrogen Economics
3. Methodology
3.1. Spatial Resource Assessment
3.1.1. Zonal Statistics Extraction
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- T90: The 90th percentile threshold of the data values.
- X: The vector of valid raster values (e.g., wind speed or solar irradiance) for a given region.
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- Xtop10%: Subset of data values representing the top 10%.
- xi: Individual raster values within the dataset X
3.2. Offshore Potential Mapping
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- Aoffshore: The resulting offshore area geometry.
- Aregion: The original land-based administrative area.
- Buffer(Aregion,20km): Geometric expansion by 20 kilometers.
3.3. Solar Irradiance Analysis
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- T90solar: The 90th percentile of GHI values in a given region.
- GHI: Global Horizontal Irradiance values (in kWh/m2/day).
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- GHItop10%: Set of high-performing solar pixels.
- gi: Individual irradiance values in the dataset.
3.4. Temporal Climate Analysis Using ERA5-Land
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- v is the wind speed magnitude (m/s),
- u is the zonal (east-west) wind component (m/s),
- v is the meridional (north-south) wind component (m/s).
3.5. Hydrogen LCOH Modeling
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- CAPEXt: Year-specific capital cost ($/kW), reduced annually by a learning rate (3% for PEM and Alkaline; 4% for SOEC)
- CRF:Capital recovery factor (20-year life, 5% discount rate)
- PH2: Annual hydrogen output (300 kg/day × 365)
- Et: Electricity use per kg H2 (kWh/kg), scaled by technology-specific voltage
- Esteam:Additional 3 kWh/kg for SOEC; 0 for PEM and Alkaline
- Celect,r:Region-specific electricity cost ($/kWh).
- BoP: Balance-of-plant penalty (1.05)
- CWater:Water cost ($ 0.0288/kg)
- CO&M:Fixed O&M ($ 0.02/kg)
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- CAPEX0: Initial capital cost
- LR: Learning rate (0.03 for PEM/Alkaline; 0.04 for SOEC)
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: Base hydrogen selling price ($ 3.50/kg).- PO2: Oxygen credit ($ 2.51/kg).
- CCO2,t: Carbon credit (applied only in the UK), growing annually at 4% from $ 0.41/kg in 2025.
3.7. Regional Electricity Price Adjustments
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- Scorer: Composite renewable resource score in region rrr, derived from wind and solar availability (defined previously in Eq. 9).
: National average of all regional scores.
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- PPPA,t: Power purchase agreement price in year ttt, declining by 1% annually
- Pgrid: Grid access fee ($ 0.001/kWh in UK; 0 in Costa Rica)
- Qualr: Resource-based multiplier
3.8. Techno-Economic Evaluation Using LCOH and NPV Metrics
3.8.1. Net Present Value (NPV) Simulation Framework
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- LCOHt: Annual levelized cost per kg of hydrogen (imported from prior model)
- QH2,t: Hydrogen output adjusted by stochastic load factors (±5%)
- PH2: Hydrogen market price (uniform distribution)
- PCfD: Strike price top-up (UK only; triangular distribution)
- PO2,PCO2 Revenues from oxygen and carbon credits (log-normal distributions)
- CAPEXann: Annuitized capital cost per kg (adjusted for subsidies)
- r: Real discount rate (5% for Costa Rica, 6% for the UK)
3.9. Simulation-Augmented Machine Learning Framework for LCOH Forecasting
3.9.1. Synthetic Data Generation
3.9.2. High-Fidelity LCOH Estimation
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- CRF: capital recovery factor, r(1+r)n/((1+r)n−1), with discount rate r and lifetime n=20.
- CAPEXadj: subsidy-adjusted CAPEX (UK only applies a discount factor when subsidy flag = 1).
- Pplant: nameplate capacity (3 000 kW for CR; 50 000 kW for UK).
- mH2: annual hydrogen output in kg, Pplant×8760 h×CF/Espec(t).
- OPEX: fixed operating cost ($/kg H2).
- pe: electricity price ($/kWh).
- Espec(t): specific energy use per kg H2, which degrades linearly over time according to technology-specific voltage drop ΔV).
3.9.3. Surrogate Training, Tuning & Validation
4. Modeling Assumptions and Limitations
4. Sensitivity Analysis for Green Hydrogen Economic Models
5. Results
5.1. Wind and Solar Energy Potential in Costa Rica
5.2. Solar and Wind Energy Potential Across the United Kingdom and Northern Ireland
5.3. LCOH Estimations for Costa Rica and the United Kingdom
5.4. NPV Comparison for Hydrogen Production in Costa Rica and the United Kingdom
5.5. Machine Learning Model Performance Comparison
5.6. Sensitivity Analysis of Hydrogen Economics in Costa Rica and the United Kingdom
6. Discussion
7. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Declaration of Generative AI and AI-Assisted Technologies in the Writing Process
Conflicts of Interest
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| Data type | Value / distribution in MC run | Reference |
|---|---|---|
| Wholesale H2 price 2025 – 2050 | 3.0 – 4.8 US $ kg−1 (≙ £112→£71 MWh−1) | UK Hydrogen Strategy (2021a) |
| CfD / HPBM strike premium | Triangular 5–7 US $ kg−1 (mode = 6) | DESNZ HPBM IA (2023) |
| Oxygen-gas credit | Log-normal μ = 2.51 US $ kg−1, σ = ±20 % | GasWorld price index (2023) |
| Carbon credit (UK-ETS) | Log-normal μ = 0.50 US $ kg−1, σ = ±25 % | UK-ETS Authority (2024) |
| Electricity tariff draw | 0.0516 – 0.0774 US $ kWh−1 (4–6 p/kWh) | UK Hydrogen Strategy (2021a) |
| Installed CAPEX 2025 | PEM/Alk 1 500 US $ kW−1; SOEC 1 900 US $ kW−1 | Lichner (2024); IEA (2024b) |
| CAPEX grant (Net-Zero Hydrogen Fund + GIGA) | 15 % of EPC | DESNZ NZHF guidance (2024c) |
| Plant size & utilisation | 50MW; 6,000hy−1 (±5%) | Hydrogen Europe (2024) |
| Discount rate (real) | 6 % | HM Treasury Green Book (2022) |
| Monte-Carlo runs | 1 000 | Custom Simulation |
| Category | Variable | Value / distribution in MC run | Reference |
|---|---|---|---|
| Fiscal incentives | Adjusted CAPEX grant | 15 % write-down | MINAE (2025) |
| Revenue | H2 wholesale price | 3.0 – 4.0 US $ kg−1 | MINAE (2022) |
| Revenue | O2 credit (log-normal) | μ = 2.51 US $ kg−1, σ = 20 % | Del Valle Gamboa, 2018 |
| Revenue | CO2 credit (log-normal) | μ = 0.30 US $ kg−1, σ = 30 % | ICAO (2024) |
| Electricity | Tariff draw | 0.04 – 0.06 US $ kWh−1 | ICE (2022) |
| Electricity | OPEX electricity share | 70 % of OPEX | Assumption |
| Electricity | Base price in deterministic LCOH | 0.15 US $ kWh−1 | Assumption |
| OPEX | OPEX subsidy | 10 % reduction | MINAE (2025) |
| Technical | Plant size | 3 MWₑ; 300 kg H2 d−1 | Del Valle Gamboa, 2018 |
| Technical | Full-load hours | 4 000 h yr−1 ± 5 % | Del Valle Gamboa, 2018 |
| Finance | Discount rate | 5 % real | Assumption |
| Finance | Plant life | 20 years | Assumption |
| Simulation | Monte-Carlo draws | 1 000 iterations | Custom |
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