Energy and Mass Balance Assessment of a Microalgae-Based Biomethane Biorefinery: Mesophilic Design vs. Psychrophilic Operation in a Pilot Plant
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area Characterization and Climatological Datasets
- Thermo-Pluviometric Data: Monthly averages for ambient temperature (Tm = 11 °C), annual precipitation (Pm = 512 mm), relative humidity (Hr = 65%), and wind speed (Ws = 3.27 m·s−1) were obtained from the State Meteorological Agency (AEMET) [14], based on the 1981–2010 climatological series.
- Solar Resource: Global horizontal irradiation was extracted from the Typical Meteorological Year (TMY) via the European Commission’s PVGIS database (2005–2020 series) [15]. These data were utilized to calculate the Peak Sun Hours (PSH) to determine the energy yields of the on-site photovoltaic (PV) system.
2.2. Biomethane Plant
2.2.1. Substrate Management and Anaerobic Digestion (AD)
2.2.2. Digestate Valorization and Nutrient Conditioning
2.2.3. Photosynthetic Biogas Upgrading and Biomass Recovery
2.2.4. Final Biomethane Refining and High-Pressure Storage
2.3. Operational Scenarios and Methodological Framework
2.3.1. Scenario I: Theoretical Mesophilic Design (Nominal Performance)
2.3.2. Scenario II: Experimental Psychrophilic Baseline (Passive Resilience)
2.3.3. Functional Unit and System Boundaries
2.4. Mass and Energy Assessments
2.4.1. Feedstock Characterization and Design Parameters
| Matter | Density (g·cm−3) | Dry Matter (%) | Organic Matter (g·kg−1) | Total-N (g·kg−1) | NH4-N (g·kg−1) | Total-P (g·kg−1) | K (g·kg−1) |
|---|---|---|---|---|---|---|---|
| Manure | 0.9 ± 0.01 | 11.4 ± 5.6 | 91.2 ± 44.8 | 4.5 ± 1.6 | 1.8 ± 0.8 | 1.9 ± 0.5 | 2.9 ± 1.1 |
| Slurry | 1.0 ± 0.02 | 4.2 ± 2.3 | 31.8 ± 15.8 | 4.1 ± 2.2 | 2.4 ± 1.5 | 1 ± 0.7 | 1.4 ± 0.8 |
| Digestate | 1.0 ± 0.02 | 2.16 ± 0.45 | 9.01 ± 0.07 | 4.1 ± 2.2 | 3.09 ± 1.9 | 1 ± 0.5 | 1.4 ± 0.5 |
| Microalgae | 1.0 ± 0.05 | 15 ± 5 | 117.5 ± 29.03 | 11.45 ± 3.8 | 0.34 ± 0.23 | 1.14 ± 0.2 | 1.21 ± 0.2 |
2.4.2. Process Design and Efficiency Indicators (Scenario I)
2.4.3. Energy Assessment and Thermodynamic Modeling
- Soil Temperature Modelling and Thermal Transmittance.
- : Soil temperature at depth z and time t (°C).
- : Mean annual temperature (°C).
- : Annual temperature amplitude at the soil surface (°C).
- : Installation depth (0.8 m).
- : Damping depth of the soil (1.42 m), representing thermal diffusivity.
- : Hour of the year (1–8760).
- : Hour of the year with the maximum surface temperature (5448 h).
- : Equivalent thickness of the ground (m).
- : Thickness of the walls (m) (negligible in this geotextile configuration).
- : Thermal conductivity of the clay soil (1.5 W·m−1·K−1).
- : Internal surface resistance (0.17 m2·K·W−1).
- : Thickness of each envelope layer (LDPE and polystyrene) (m).
- : Thermal conductivity of each envelope layer (LDPE and polystyrene) (W·m−1·K−1).
- : Overall buried thermal transmittance (W·m−2·K−1).
- : Thermal conductivity of the clay soil (1.5 W·m−1·K−1)
- B’: Characteristic dimension of the floor (5.35 m), derived from the bottom area (Sb) and perimeter (P) (B’ = Sb/(0.5 · P)
- : Installation depth (0.8 m).
- : Equivalent thickness of the ground (m), as calculated in Equation (2).
- 2.
- Aerial Heat Transfer and Sol-Air Temperature
- : Hourly exterior heat transfer coefficient (W·m−2·K−1).
- : Adjusted wind speed at time t (m·s−1).
- : Emissivity of the polyethylene cover (0.85).
- : Stefan-Boltzmann constant (5.67 × 10−8 W⋅m−2⋅K−4).
- : Ambient temperature (K).
- 5.7 and 3.8: Empirical convective constants based on McAdams’ correlation.
- : Total heat transfer rate through the cover at time t ().
- : Upper surface area of the digester cover (m2).
- : Total thermal resistance of the cover assembly (m2⋅K⋅W−1).
- : Hourly exterior heat transfer coefficient calculated in Equation (4) ().
- : Operational temperature of the digestate (35 °C).
- : Sol-Air temperature (K).
- : Convective coefficient at the slurry-gas interface (2 W·m−2·K−1) [49].
- : Convective coefficient at the gas-cover interface (1) [49].
- Thickness of the LDPE and polystyrene, respectively (m).
- , : Thermal conductivity of the cover materials ().
- : Ambient temperature (K).
- : Solar absorptivity of the cover (0.95, blackbody approximation).
- : Global horizontal solar irradiance ().
- : Emissivity of the polyethylene cover (0.85).
- : Stefan-Boltzmann constant (5.67 × 10−8 W⋅m−2⋅K−4).
- : Sky longwave (infrared) irradiance on a horizontal plane ().
- 3.
- Aggregate Thermal Demand and Biogas Consumption
- : Ground-coupled heat losses at time t ().
- : Lower and lateral buried surface area (m2).
- : Overall buried thermal transmittance, calculated in Equation (3) ().
- : Operational temperature of the digestate (35 °C).
- : Soil temperature at depth z and time t, calculated in Equation (1) (°C).
- : Thermal power required for substrate heating at time t ().
- : Mass flow rate of the substrate (kg·s−1).
- : Specific heat capacity of the substrate (4180 J·kg−1·K−1) [50].
- : Operational temperature of the digestate (35 °C).
- : Temperature of the influent substrate at time t, assumed equal to ambient temperature (°C).
- : Total heat demand of the digester at time t ().
- : Total heat transfer rate through the cover at time t().
- : Ground-coupled heat losses at time t ().
- : Thermal power required for substrate heating at time t ().
- : Annual biogas consumption required for heating (m3·year−1).
- : Total hourly heat demand calculated in Equation (10) ().
- : Lower Heating Value of the biogas (6.58 kWh·m−3 [51]).
- : Boiler efficiency factor (0.90).
2.4.4. Electrical Energy Inventory and Operational Duty Cycles
- : Daily electrical energy demand (kWh·day−1).
- : Equipment nominal power (kW).
- : Effective daily operating time (h·day−1).
2.4.5. Power Supply from Renewable Energy Sources
3. Results
3.1. Mass Balance Analysis and Process Assessment: Theoretical Design (Scenario I) vs. Experimental Reality (Scenario II)
3.1.1. Substrate Management and Anaerobic Digestion
3.1.2. Digestate Valorization and Nutrient Conditioning
3.1.3. Photosynthetic Biogas Upgrading and Biomass Recovery
3.1.4. Final Biomethane Refining and High-Pressure Storage
3.2. Energy Balance
3.2.1. Thermodynamic Analysis
- Scenario I:
- 2.
- Scenario II:
3.2.2. Photovoltaic Energy Production and Model Validation
- 3.
- Scenario I: Modelled Solar Potential
- 4.
- Scenario II: Real PV energy generation
3.2.3. Electric Consumption
- Scenario I: Theoretical equipment power demand
- 2.
- Scenario II: Experimental consumption
3.2.4. Global Energy Balance and System Sustainability
- Scenario I: Integrated Energy Model and Net Surplus
- 2.
- Comparative assessment: Theoretical Mesophilic vs. Operational Psychrophilic scenarios
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| AD | Anaerobic Digestion |
| AEMET | State Meteorological Agency (Agencia Estatal de Meteorología) |
| API | Application Programming Interface |
| A.s.l. | Above sea level |
| ATEX | Atmosphères Explosibles (Explosive Atmospheres) |
| CAPEX | Capital Expenditure |
| CNG | Compressed Natural Gas |
| DC/AC | Direct Current/Alternating Current |
| DW | Dry Weight |
| EROI | Energy Return on Investment |
| FLIR | Forward Looking Infrared |
| FW | Fresh Weight |
| GHG | Greenhouse Gas |
| HRT | Hydraulic Retention Time |
| IRR | Internal Rate of Return |
| KPIs | Key Performance Indicators |
| L/G | Liquid-to-Gas ratio |
| LCI | Life Cycle Inventory |
| LDPE | Low-Density Polyethylene |
| LHV | Lower Heating Value |
| MEB | Mass and Energy Balance |
| NEB | Net Energy Balance |
| OPEX | Operational Expenditure |
| PBR | Photobioreactor (referenced as Raceway) |
| PR | Performance Ratio |
| PSA | Pressure Swing Adsorption |
| PSH | Peak Sun Hours |
| PV | Photovoltaic |
| PVGIS | Photovoltaic Geographical Information System |
| RPR | Raceway Pond Reactor |
| SCADA | Supervisory Control and Data Acquisition |
| SEC | Specific Energy Consumption |
| TMY | Typical Meteorological Year |
| TRL | Technology Readiness Level |
| TS | Total Solids |
| TVS | Total Volatile Solids |
| VOCs | Volatile Organic Compounds |
| VS | Volatile Solids |
Nomenclature
| As | Annual temperature amplitude at the soil surface (°C) |
| B′ | Characteristic dimension of the digester floor (m) |
| Cp | Specific heat capacity (J⋅kg−1⋅K−1) |
| d | Damping depth of soil (m) |
| dt | Equivalent thickness of the ground (m) |
| Ed | Daily electrical energy demand (kWh·day−1) |
| Gh | Global horizontal solar irradiance (W·m−2) |
| GlobEff | Effective global solar radiation on the collector plane (kWh·m−2) |
| Hr | Relative humidity (%) |
| hG-C | Convective coefficient at the gas-cover interface (W⋅m−2⋅K−1) |
| hout | Exterior heat transfer coefficient (W⋅m−2⋅K−1) |
| hS-G | Convective coefficient at the slurry-gas interface (W⋅m−2⋅K−1) |
| IRh | Sky longwave (infrared) irradiance on a horizontal plane (W·m−2) |
| m | Substrate mass flow (kg⋅s−1) |
| P | Perimeter of the digester floor (m)/Equipment nominal power (kW) |
| Pm | Annual precipitation (mm) |
| Pnom,ac | Nominal AC power for PV sizing (kW) |
| Pnom,dc | Nominal DC power for PV sizing (kW) |
| q | Thermal power required for substrate heating (W) |
| Qc | Total heat transfer rate through the cover (W) |
| Qs | Heat losses through the soil (W) |
| QTot | Total heat demand of the digester (W) |
| RcTot | Total thermal resistance of the cover assembly (m2⋅K⋅W−1) |
| Rsi | Surface resistance (m2⋅K⋅W−1) |
| Sb | Bottom area of the digester (m2) |
| Sd | Lower and Lateral Buried Surface Area (m2) |
| Su | Upper Surface Exposed to Air (m2) |
| t | Hour of the year (h)/Effective daily operating time (h·day−1) |
| t0 | Hour of the year with the maximum surface temperature (h) |
| td | Thickness of the LDPE cover (m) |
| tdc | Thickness of the polystyrene coating (m) |
| ti | Thickness of each envelope layer (m) |
| Tavg | Mean annual temperature (°C) |
| Tez,t | Soil temperature at depth z and time t (°C) |
| Tm | Ambient temperature (°C) |
| Top | Substrate temperature in the mesophilic range (35 °C) |
| TS−A | Sol-Air Temperature (K) |
| Ub,s | Overall buried thermal transmittance (W⋅m−2⋅K−1) |
| vd | Adjusted wind speed (m⋅s−1) |
| Vbiogas | Annual biogas consumption required for heating (m3·year−1) |
| w | Thickness of the walls (m) |
| Ws | Wind speed (m·s−1) |
| z | Installation depth (m) |
| α | Solar absorptivity (dimensionless) |
| ϵ | Emissivity (dimensionless) |
| η | Boiler efficiency (%) |
| λdc | Polystyrene thermal conductivity coefficient (W⋅m−1⋅K−1) |
| λi | Envelope layer thermal conductivity coefficient (W⋅m−1⋅K−1) |
| λLDPE | LDPE thermal conductivity coefficient (W⋅m−1⋅K−1) |
| λs | Soil thermal conductivity coefficient (W⋅m−1⋅K−1) |
| σ | Stefan-Boltzmann coefficient (5.67 × 10−8 W⋅m−2⋅K−4) |
| Angular frequency |
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| Stages | Parameters | Data | Source |
|---|---|---|---|
| Farm (Feedstock: Pig Manure and Slurry) | No. Animals (pcs.) | 1000 | LIFE SMART AgroMobility * |
| Manure per pig (kg·day−1·animal−1) | 3.8 | [36] | |
| Slurry per pig (L·day−1·animal−1) | 4.68 | [37,38] | |
| Slurry density (kg·m−3) | ≈1000 | [39] | |
| Total Solids (g·kg−1) | 45.3 | [21] | |
| TVS: Total Volatile Solids (g·kg−1) | 33.3 | [21] | |
| Methane production potential (m3 CH4 kg−1 TVS) | 0.5 | [21,40] | |
| Anaerobic Digester | Total volume (m3) | 150 | LIFE SMART AgroMobility * |
| Useful volume (%) | 78 | LIFE SMART AgroMobility * | |
| Operating temperature (°C) | 35 | [21] | |
| HRT: Hydraulic Retention Time (day) | 25 | [21] | |
| Digester recirculation ratio | 0.5 | [41] | |
| Microalgae Raceway | Biomass productivity (g DW·m−2·day−1) | 18 | LIFE SMART AgroMobility * |
| Carbon demand (kg CO2 ·kg−1 dry biomass) | 2.31 | [18] | |
| Evaporation (m3 day−1) | 0.986 | LIFE SMART AgroMobility * | |
| Up-grading (Absorption Column) | Outgassing (%) | 6 | LIFE SMART AgroMobility * |
| Absorption rate (%) | 95 | LIFE SMART AgroMobility * | |
| L/G ratio (v/v) | 1.5 | LIFE SMART AgroMobility * | |
| Refining | Silica gel yield (%) | 100 | LIFE SMART AgroMobility * |
| Active carbon yield (%) | 98 | [42] |
| System | ID. | Equipment | Power (kW) | t (h·Day−1) | Ed (kWh·Day−1) |
|---|---|---|---|---|---|
| Pre-treatment and Feeding | B-01 | Slurry pump | 0.25 | 24.00 | 6.00 |
| M-02 | Agitation pump | 1.60 | 0.25 | 0.40 | |
| B-03 | Water pump | 2.20 | 1.00 | 2.20 | |
| Anaerobic Digestion | B-02 | Digester recirculation pump | 1.90 | 4.00 | 7.60 |
| B-04 | Digestate extraction pump | 0.75 | 0.88 | 0.66 | |
| Upgrading and PBR | B-05 | Digestate to mixer pump | 0.83 | 2.00 | 1.66 |
| B-06 | Diluted digestate pump | 0.45 | 0.93 | 0.42 | |
| B-07 | Reactor pump | 0.40 | 7.00 | 2.80 | |
| M-01 | Paddle wheel | 0.30 | 24.00 | 7.20 | |
| S-01 | Biogas blower | 0.15 | 7.00 | 1.05 | |
| S-02 | Air blower | 0.45 | 3.00 | 1.35 | |
| B-08 | Sediment pump | 0.61 | 6.00 | 3.66 | |
| Biomethane Refining | C-02 | Biomethane compressor | 1.50 | 7.00 | 10.50 |
| RU-01 | Refueling Unit | 1.50 | 4.00 | 6.00 | |
| Monitoring | - | SCADA | 0.15 | 24.00 | 3.60 |
| 55.10 |
| System | ID. | Equipment | Power (kW) | t (h·day−1) | Ed (kWh·day−1) |
|---|---|---|---|---|---|
| Pre-treatment and Feeding | B-01 | Slurry pump | 0.25 | 12.00 | 3.00 |
| M-02 | Agitation pump | 1.60 | 0.25 | 0.40 | |
| B-03 | Water pump | 2.20 | 1.00 | 2.20 | |
| Anaerobic Digestion | B-02 | Digester recirculation pump | 1.90 | 4.00 | 7.60 |
| B-04 | Digestate extraction pump | 0.75 | 0.88 | 0.66 | |
| Upgrading and PBR | B-05 | Digestate to mixer pump | 0.83 | 2.00 | 1.66 |
| B-06 | Diluted digestate pump | 0.45 | 0.93 | 0.42 | |
| B-07 | Reactor pump | 0.40 | 4.00 | 1.60 | |
| M-01 | Paddle wheel | 0.30 | 24.00 | 7.20 | |
| S-01 | Biogas blower | 0.15 | 3.00 | 0.45 | |
| S-02 | Air blower | 0.45 | 3.00 | 1.35 | |
| B-08 | Sediment pump | 0.61 | 1.00 | 0.61 | |
| Biomethane Refining | C-02 | Biomethane compressor | 1.50 | 3.50 | 5.25 |
| RU-01 | Refueling Unit | 1.50 | 4.00 | 6.00 | |
| Monitoring | - | SCADA | 0.15 | 24.00 | 3.60 |
| 42.00 |
| Indicator | Scenario I (Mesophilic Design) | Scenario II (Experimental Psychrophilic) | Impact Analysis |
|---|---|---|---|
| Thermal Demand | High (277–300 kWh d−1) | Passive (0 kWh d−1) | 100% Saving |
| Biogas Yield | High (78 Nm3 d−1) | Low (14 Nm3 d−1) | Kinetic limitation |
| Net Energy Balance | Positive (170–408 kWh d−1) | Positive (Low-Input surplus) | Stability maintained |
| Electrical Autonomy | Seasonal (6 months) | Total (12 months) | Grid Independence |
| Electrical SEC | 1.20 kWh·m−3 CH4 | 4.17 kWh·m−3 CH4 | Scale penalty (+247%) |
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Suárez Rodríguez, M.d.C.; Martínez-Hernando, M.-P.; Bolonio, D.; Ortega, M.F.; Mora, P.; García-Martínez, M.-J. Energy and Mass Balance Assessment of a Microalgae-Based Biomethane Biorefinery: Mesophilic Design vs. Psychrophilic Operation in a Pilot Plant. Energies 2026, 19, 1541. https://doi.org/10.3390/en19061541
Suárez Rodríguez MdC, Martínez-Hernando M-P, Bolonio D, Ortega MF, Mora P, García-Martínez M-J. Energy and Mass Balance Assessment of a Microalgae-Based Biomethane Biorefinery: Mesophilic Design vs. Psychrophilic Operation in a Pilot Plant. Energies. 2026; 19(6):1541. https://doi.org/10.3390/en19061541
Chicago/Turabian StyleSuárez Rodríguez, María del Carmen, María-Pilar Martínez-Hernando, David Bolonio, Marcelo F. Ortega, Pedro Mora, and María-Jesús García-Martínez. 2026. "Energy and Mass Balance Assessment of a Microalgae-Based Biomethane Biorefinery: Mesophilic Design vs. Psychrophilic Operation in a Pilot Plant" Energies 19, no. 6: 1541. https://doi.org/10.3390/en19061541
APA StyleSuárez Rodríguez, M. d. C., Martínez-Hernando, M.-P., Bolonio, D., Ortega, M. F., Mora, P., & García-Martínez, M.-J. (2026). Energy and Mass Balance Assessment of a Microalgae-Based Biomethane Biorefinery: Mesophilic Design vs. Psychrophilic Operation in a Pilot Plant. Energies, 19(6), 1541. https://doi.org/10.3390/en19061541

