Thermodynamic Performance of a Direct-Drive Biomass-Powered Vapor Compression Refrigeration System
Abstract
1. Introduction
2. Materials and Methods
2.1. System Description and Instrumentation
2.2. Gasifier Design and Syngas Conditioning
2.3. Experimental Protocol and Statistical Analysis
2.3.1. Thermal Load Equivalence and Control Strategy
2.3.2. Sequential Empirical Methodology
2.4. Refrigeration Load Calculation
2.5. Vapor Compression Refrigeration Cycle Analysis
| State | Description | T (°C) | P (bar) | h (kJ/kg) | Note |
|---|---|---|---|---|---|
| 1 | Compressor Suction | 0 | 1.98 | 401 | 10 K superheat |
| 2s | Isentropic Discharge | — | 11.01 | 430 | Ideal compression |
| 2 | Actual Discharge | 75 | 11.01 | 456.5 | ηis = 0.523 |
| 3 | Condenser Exit (liquid) | 37 | 11.01 | 249 | 5 K subcooling |
| 4 | Expansion Valve Exit | −10 | 1.98 | 249 | h4 = h3 (isenthalpic) |
| COPR | 2.74 ± 0.23 | Qevap/Wcomp,fluid | |||
| (kg/s|kg/h) | 0.003566/12.84 | /(h1 − h4) | |||
| (kW) | 0.198 | (h2 − h1) | |||
| (kW) (1) | 0.740 | + | |||
| (kW) (2) | 0.740 | (h2 − h3) | |||
| Error | <0.001 kW | ||||

2.6. Comprehensive System Energy Balance
| Component | DMD | DMD | DMD | DMD | Share of Exdest,sys (%) | EPG | EPG | EPG | EPG | Share of Exdest,sys (%) |
|---|---|---|---|---|---|---|---|---|---|---|
| Exin (kW) | Exout (kW) | Exdest (kW) | ε (%) | Exin (kW) | Exout (kW) | Exdest (kW) | ε (%) | |||
| Downdraft gasifier + syngas conditioning train | 15.56 | 10.54 | 5.02 | 67.7 | 32.4 | 18.07 | 12.24 | 5.83 | 67.7 | 32.4 |
| ICE | 10.54 | 1.38 | 9.16 | 13.1 | 59.13 | 12.24 | 1.6 | 10.64 | 13.1 | 59.1 |
| Belt–clutch transmission | 1.38 | 1.01 | 0.37 | 73.2 | 2.39 | — | — | — | — | |
| AC alternator | — | — | — | — | 1.6 | 1.28 | 0.32 | 80.0 | 1.8 | |
| Electric induction motor | — | — | — | — | 1.28 | 1.02 | 0.26 | 79.7 | 1.4 | |
| Compressor internal dissipation | 0.812 | 0 | 0.812 | 0 | 5.24 | 0.821 | 0 | 0.821 | 0 | 4.6 |
| Compressor, refrigerant side | 0.198 | 0.114 | 0.084 | 57.6 | 0.54 | 0.199 | 0.114 | 0.085 | 57.3 | 0.47 |
| Condenser | 0.114 | 0.110 | 0.004 | 96.5 * | 0.03 | 0.114 | 0.11 | 0.004 | 96.5 * | 0.02 |
| Expansion valve | 0.110 | 0.082 | 0.028 | N/A ** | 0.18 | 0.11 | 0.082 | 0.028 | N/A ** | 0.16 |
| Evaporator | 0.082 | 0.0685 | 0.0135 | 83.5 | 0.09 | 0.082 | 0.0685 | 0.0135 | 83.5 | 0.08 |
| SYSTEM TOTAL | 15.56 | 0.0685 | 15.49 | 0.44 | 100 | 18.07 | 0.0685 | 18 | 0.38 | 100 |
2.7. Component-Level Exergy Analysis
2.8. Life-Cycle Cost (LCC) Methodology Framework
3. Results
3.1. Syngas Characterization and System Stability


3.2. Comparative Fuel Consumption: Statistical Analysis
| Parameter | EPG | DMD | Difference | p-Value |
|---|---|---|---|---|
| Mean Fuel Consumption (g/h) | 2136.7 | 1840 | 296.7 g/h | <0.001 |
| SD (g/h) | ±14.71 | ±5.58 | — | — |
| CV (%) | 0.69 | 0.31 | — | — |
| Efficiency Gain vs. EPG | Baseline | 13.89% | — | — |
| Mean operating duration per hopper charge (min), 1.15 kg loaded in both configurations | 21.5 | 37.6 | +16.1 min | <0.001 |
| SD (min) | ±1.3 | ±1.6 | — | — |
| CV (%) | 6.15 | 4.36 | — | — |
| Per-charge duration improvement factor | 1.00× | 1.75× | — | <0.001 |
| COP_R (mean ± SD) | 2.73 ± 0.13 | 2.74 ± 0.15 | Δ < 0.02 (n.s.) | 0.815 |
| Charcoal actually consumed per charge (kg) | 0.766 | 1.150 | --- | |
| Bed utilization at run termination (%) | 66.6 | 100.0 | ||
| Refueling interventions per freezing cycle (–) | 4.0 | 2.3 |
| Session | Fuel Consumption Rate (g/h) | Refrigeration COPR (—) | Batch Endurance (min) | ||||||
|---|---|---|---|---|---|---|---|---|---|
| DMD | EPG | Δ (EPG − DMD) | DMD | EPG | Δ (DMD − EPG) | DMD | EPG | Δ (DMD − EPG) | |
| 1 | 1831.6 | 2114.7 | 283.09 | 2.54 | 2.65 | −0.110 | 35.6 | 19.8 | 15.8 |
| 2 | 1837.7 | 2130.1 | 292.49 | 2.77 | 2.72 | 0.050 | 37.9 | 22 | 15.9 |
| 3 | 1845.9 | 2149.9 | 304.06 | 2.90 | 2.80 | 0.100 | 39.5 | 23.1 | 16.4 |
| 4 | 1841.5 | 2139.5 | 298.04 | 2.85 | 2.91 | −0.060 | 38.6 | 20.6 | 18 |
| 5 | 1843.4 | 2149.2 | 305.75 | 2.64 | 2.57 | 0.070 | 36.4 | 22 | 14.4 |
| Mean | 1840.0 | 2136.7 | 296.69 | 2.74 | 2.73 | 0.010 | 37.6 | 21.5 | 16.1 |
| SD | ±5.58 | ±14.71 | ±9.23 | ±0.15 | ±0.13 | ±0.089 | ±1.60 | ±1.30 | ±1.364 |
| CV (%) | 0.31 | ≤0.69 | — | 5.47 | 4.76 | — | 4.26 | 6.05 | — |
| Statistical test results (paired-samples t-test, two-tailed, df = 4) | |||||||||
| t (4) | 71.9 | — | 0.25 | — | 26.4 | — | |||
| p-value | <0.001 sig. | — | 0.815 (n.s.) | — | <0.001 sig. | — | |||
| Cohen’s d | 32.1 * | — | 0.11 | — | 11.8 | — | |||
| 95% CI (Δ) | [285.2, 308.1] g/h | — | [−0.10, +0.12] | — | [14.4, 17.8] min | — | |||
3.3. Techno-Economic Analysis (CAPEX and OPEX)

| (a) | |||
| Component | DMD-Syngas (USD) | EPG-Syngas (USD) | |
| Downdraft fixed-bed gasifier (200 mm ID) | 285.92 | 285.92 | |
| Syngas conditioning train (cyclone + scrubber + separator) | 142.25 | 142.25 | |
| Husqvarna HH196MP, 4-stroke ICE, 196 cc, 4.05 kW (Husqvarna AB, Huskvarna, Sweden) | 197.18 | 197.18 | |
| R-134a VCRS unit (evaporator, condenser, expansion, valve) | 245.07 | 245.07 | |
| DMD transmission: V-belt (A-type, 900 mm) + pulley set | 52.11 | -- | |
| EPG: AC generator 1.5 kVA (220V, single-phase) | 284.50 | ||
| EPG: Induction motor + VFD controller (1.1 kW) | 167.73 | ||
| Steel structural skid + mounting hardware | 98.45 | 98.45 | |
| Instrumentation (gauges, thermocouples, rotameter) | 312.80 | 312.80 | |
| Total CAPEX | 1333.78 | 1733.90 | |
| Transmission-only CAPEX difference (EPG-Syngas − DMD-Syngas) | 400.12 | ||
| (b) | |||
| Cost Element | EPG-Gasoline (USD) | DMD-Syngas (USD) | Difference (USD) |
| A. Capital Expenditure (CAPEX) | |||
| Engine + compressor + structural frame | 861.8 | 861.8 | — |
| AC generator + electric drive motor (EPG only) (Includes EPG-side switchgear and wiring not listed in Table 10a) | 677.13 | — | 677.13 |
| Gasifier + syngas conditioning train (DMD only) | — | 1077.25 | −1077.25 |
| Total CAPEX | 1538.93 | 1939.05 | −400.12 |
| B. Annual Operating Expenditure (OPEX) | |||
| Annual fuel cost a | 3228.48 | 264.96 | 2963.52 |
| Annual engine maintenance | 76.95 | 76.95 | — |
| Annual gasifier maintenance (DMD only) | — | 46.17 | −46.17 |
| Total annual OPEX | 3305.43 | 388.08 | 2917.35 |
| C. Present Value of OPEX (10 yr, discount rate 6% p.a.) | |||
| PV of annual fuel cost | 23,761.41 | 1950.01 | 21,811.40 |
| PV of maintenance cost | 566.47 | 906.18 | −334.78 |
| Total PV of OPEX | 24,327.88 | 2856.19 | 21,471.69 |
| D. Total Life-Cycle Cost | |||
| Total LCC (CAPEX + PV of OPEX) | 25,866.81 | 4795.24 | 21,071.57 |
| E. Economic performance indicators | |||
| LCC savings (DMD-Syngas vs. EPG-Gasoline) | Baseline | 21,071.57 | — |
| Simple payback period (incremental CAPEX) | — | ~0.14 years (~50 days) | — |
| Fully burdened payback (incl. asymmetric soft costs, Table 10c) | — | ~0.44–0.82 years (~162–301 days) | |
| (c) | |||
| Soft-Cost Item | Low (USD) | High (USD) | Basis of Asymmetry |
| Cost item (gasifier + conditioning − alternator/motor) | 400 | 400 | Gasifier, cyclone, wet scrubber and moisture separator have no counterpart in a liquid-fueled unit; partially offset by omission of the alternator–motor set that the direct mechanical coupling makes unnecessary |
| Site preparation: concrete pad, ventilated shelter, feedstock store | 300 | 600 | Reference unit is a self-contained skid fed from a portable fuel can; the gasifier requires a load-bearing pad, ventilated enclosure for CO safety, and a covered store sized to the 4416 kg/yr charcoal throughput |
| Water supply, circulation pump, settling tank, effluent piping | 150 | 400 | Reference unit consumes no process water; the packed-bed scrubber operates at 2 L/min (≈288 m3/yr at the assumed duty) and generates tar-laden effluent requiring settling and disposal |
| Low-voltage provision: battery, blower wiring, switchgear | 80 | 200 | Reference unit starts by recoil or its own battery; the gasifier additionally requires a start-up blower for ignition and bed establishment, with associated wiring and protection |
| Installation labor and commissioning | 100 | 250 | Reference unit requires only positioning and belt or coupling alignment; the gasification train requires piping, leak testing, tar-sampling port fitting, and a first-fire commissioning sequence with gas-quality verification |
| Operator training (3–6 person-days) | 186 | 373 | Reference unit needs only routine engine servicing; the gasifier requires competence in start-up and shutdown sequencing, tar and condensate handling, ash removal, and CO exposure precautions |
| Contingency (10%) | 82 | 182 | Applied to the site, utility, electrical, installation and training items only, since these are estimated rather than quoted; the hardware cost is excluded, as it is based on procured prices |
| Total installed incremental CAPEX | 1298 | 2405 | Sum of the above |
| Incremental simple payback | 0.44 yr (162 d) | 0.82 yr (301 d) | ÷2917.35 USD yr−1 |
| Charcoal Cost Scenario | Unit Price (USD/kg) | Annual Fuel Cost—DMD (USD/yr) | Annual OPEX Savings vs. EPG-Gasoline (USD/yr) | Simple Payback (Years) | Fully Burdened Payback |
|---|---|---|---|---|---|
| Self-produced (base case) | 0.06 | 264.96 | 2917.35 | 0.14 yr (~50 d) | 0.82 yr (~301 d) |
| Intermediate (incl. kiln depreciation) | 0.15 | 662.40 | 2519.91 | 0.16 yr (~58 d) | 0.95 yr (~349 d) |
| Conservative upper bound | 0.30 | 1324.80 | 1857.51 | 0.22 yr (~79 d) | 1.29 yr (~473 d) |
| Commercial purchase | 0.34 | 1501.44 | 1680.87 | 0.24 yr (~87 d) | 1.43 yr (~522 d) |
3.4. Environmental Assessment
4. Discussion
4.1. Thermodynamic Interpretations and Drive-Train Efficiency
4.2. Techno-Economic Viability and Supply Chain Resilience
4.3. Environmental Implications and Regulatory Compliance
4.4. Technical Limitations and Future Work
- Transient Dynamics: Testing was conducted under controlled steady-state environments (30 ± 2 °C). Real-world tropical operations demand evaluation under transient climate profiles and fluctuating cooling loads.
- Engine Derating: Syngas operation induces a 15–20% ICE brake power derating, which curtails the engine’s capacity to handle heavy starting torque transients typical of vapor compression units.
- Tar Accumulation: Although post-scrubber tar levels (48.3 ±4.7 mg/m3) fell safely below the conventional 100 mg/m3 spark-ignition engine threshold [18], confirming adequate performance of the wet scrubbing train, long-term operational impacts regarding valve scaling and lubricant degradation remain unquantified. The bed-utilization difference between configurations was inferred from the gravimetric char residue at run termination rather than from direct observation of the reduction-zone front, and the 66.6% utilization figure should therefore be regarded as a run-averaged estimate; instrumented bed-temperature profiling would be required to establish the termination criterion quantitatively.
- Refrigerant Flow Metering: The refrigerant mass flow rate (0.003566 kg/s, 12.84 kg/h) was obtained indirectly from the calorimetrically validated cooling capacity rather than by direct measurement, yielding an apparent volumetric efficiency of only ~19%. Consequently, the partition between shaft-level dissipation (0.812 kW) and possible under-estimation of the cooling capacity cannot be resolved from the present data set, and direct Coriolis metering together with calorimetric shell heat-loss measurement is required for definitive attribution.
- Transmission Efficiency Metering: The belt–clutch transmission efficiency (73.2%) was obtained by closure between the compressor shaft power measured at 1.01 kW and the engine brake power inferred from the syngas chemical energy input rather than from simultaneous torque metering on both sides of the drive. The reaction torque transducer, having a full-scale range of 50 N·m and an accuracy of ±0.5% FS, contributes ±0.25 N·m, or ±2.6%, at the measured 9.64 N·m operating torque; combined with the syngas flow and composition uncertainties propagating into the brake-power term, the combined standard uncertainty of the transmission efficiency is ±4.1 percentage points. A transducer better matched to the operating range (0–20 N·m), together with an engine-side torque flange, is therefore recommended, both to reduce this uncertainty and to confirm the 0.37 kW transmission loss independently of the energy-balance closure. Until such metering is available, the 73.2% value should be read as a lower bound on the transmission efficiency and, equivalently, the 13.6% brake thermal efficiency as an upper bound, with the sensitivity bounds quantified in Section 4.1.
- The biomass-referenced exergy efficiency of 0.44% is inherently low because the cooling effect at −4 °C carries a Carnot factor of only 0.126, so that even a thermodynamically perfect conversion chain would convert less than 13% of the delivered work into cooling exergy. This value should therefore not be read as an indictment of the direct-drive architecture; rather, it quantifies the intrinsic penalty of producing a low-grade product from a high-grade chemical exergy source, and it is consistent with the 0.2–1.5% range reported for small-scale biomass-driven vapor compression systems. The comparative advantage of the DMD configuration is properly assessed on the First-Law fuel-consumption basis (13.89% reduction) rather than on the absolute exergy efficiency.
- Economic Scope: The life-cycle cost model quantifies only hardware CAPEX and fuel/maintenance OPEX. One-time soft costs—site preparation, process-water and low-voltage provisions, installation labor and operator training—are now included as a bounded range in Table 10c rather than excluded, but they remain order-of-magnitude allowances rather than quoted figures, and permitting, import duties, freight, land opportunity cost, beyond-first-year consumables and salvage value remain outside the boundary. The analysis should therefore be read as a prototype-level techno-economic screening rather than a bankable investment appraisal. Since gasifier operation is more skill-intensive than gasoline-engine operation, these costs are expected to fall disproportionately on the DMD-Syngas configuration and would lengthen the incremental payback period accordingly. A fully burdened techno-economic assessment incorporating site-specific installation and training costs is recommended before commercial deployment.
- Environmental Scope: The carbon accounting presented here is an attributional, operational-phase (gate-to-gate) estimate, not a full cradle-to-grave LCA. It excludes embodied emissions from equipment manufacturing, refrigerant production and leakage (R-134a, GWP = 1430), feedstock transport, and end-of-life disposal, and its net-negative result is strictly conditional on the residue open-burning displacement scenario (Table 12). A complete ISO 14040/44 life-cycle assessment—incorporating refrigerant leakage and equipment embodied carbon—is therefore required before any net-carbon or carbon-neutrality claim can be substantiated. Additionally, the carbonization emission factor used (1.5–1.7 kg CO2e/kg charcoal) assumes traditional earth-kiln operation with high methane slip; modern retort kilns with gas capture can reduce this factor by 40–55%, lowering the no-credit operational emission to approximately 2890–4940 kg CO2e/year—a genuine reduction of 1800–3850 kg CO2e/year relative to the gasoline baseline—and strengthening the with-credit saving to approximately 11,900–17,300 kg CO2e/year. Furthermore, integrating biochar co-production within the gasification process represents an additional carbon-sequestration pathway beyond kiln-efficiency improvements: pilot-scale gasification systems have demonstrated the technical feasibility of simultaneous power, heat, and biochar output [53], and this strategy could shift the operational-phase footprint further toward net-negative without requiring residue-displacement credits.
5. Conclusions
- Fuel Economy and Endurance: The DMD configuration achieved a statistically significant 13.89% reduction in charcoal consumption compared to the EPG baseline (1840.0 vs. 2136.7 g/h; p < 0.001). This improved fuel economy translated to a 1.75-fold increase in operating duration per hopper charge, which decomposes into the 13.89% fuel-rate reduction (a factor of 1.16) and an improvement in char-bed utilization from 66.6% to essentially complete consumption (a factor of 1.50), and which corresponds operationally to a reduction in refueling interventions per freezing cycle from 4.0 to 2.3.
- Thermodynamic Decoupling: Refrigeration COPR remained statistically equivalent between configurations (2.74 ± 0.15 vs. 2.73 ± 0.13; p = 0.815), with a refrigerant-side isentropic efficiency of 52.3% but a shaft-referred value of only 10.2%, reflecting a shaft-to-refrigerant conversion ratio of 19.6% and confirming that the drive-train architecture does not alter the fundamental vapor compression thermodynamics. However, the study identifies severe compressor under-utilization at fractional load: only 19.6% of the 1.01 kW shaft input reaches the refrigerant, with the 0.812 kW residual dominated by suction-valve leakage and clearance re-expansion (≈0.71 kW) rather than by mechanical friction (≈0.10 kW, consistent with a conventional 90% mechanical efficiency). This suggests that future micro-scale designs should utilize dedicated hermetic compressors matched to fractional-kilowatt cooling loads.
- Exergy and System Losses: Component-level exergy analysis pinpointed the internal combustion engine (13.1% exergy efficiency, contributing 59.13% of total exergy destruction) and the gasifier (67.7% efficiency, contributing 32.4%) as the dominant sources of irreversibility, together accounting for 91.6% of total system exergy destruction. On a consistently biomass-referenced basis, the system achieved a First-Law biomass-to-cooling efficiency of 3.66% and an exergy efficiency of 0.44%; the corresponding syngas-referenced First-Law value is 5.34%, the difference being exactly the gasifier cold gas efficiency of 68.4%. Proposed efficiency interventions—specifically integrating engine exhaust waste heat recovery and optimizing gasifier insulation—could reduce total exergy destruction by approximately 7.4% (from 15.49 kW to 14.34 kW), consistent with WHR-integrated biomass polygeneration performance reported in the literature [34,46,52].
- Techno-Economic and Environmental Impact: The DMD-Syngas configuration demonstrates robust economic viability, achieving an NPV savings of ~21,072 USD and a ~50-day (0.14-year) simple payback period on the 400.12 USD net incremental hardware capital cost (gasification subsystem less the alternator–motor drive train that the direct-drive configuration does not require), underscoring the economic competitiveness of biomass-driven direct mechanical drive for rural cold-chain applications. This ~50-day value represents a best-case lower bound based on hardware CAPEX alone; incorporating asymmetric soft costs (site preparation and operator training) extends the fully burdened payback to roughly 162–301 days; under the least favorable combination of installed cost and commercially purchased feedstock examined, recovery extends to approximately 1.4 years, so that capital recovery falls within the first operating year under central assumptions but not across the entire parameter space. Relative to a biomass-fueled EPG unit sharing the same gasifier, the direct-drive configuration is economically dominant—lower in both capital and operating cost—so that no payback period applies; the reported payback pertains exclusively to the comparison against a gasoline-fueled reference and reflects the combined benefit of fuel substitution and drive-train simplification. Environmentally, an operational-phase (gate-to-gate) accounting indicates that the system is close to parity with the gasoline baseline on a strictly attributional basis (+120 to +1200 kg CO2e/year) and delivers a net saving of approximately 8880–13,320 kg CO2e/year (central ≈11,100 kg CO2e/year) only when the consequential credit for displacing open-field residue burning is applied. The environmental case is therefore scenario-dependent rather than intrinsic to fuel substitution, and a full ISO 14040/44 life-cycle assessment incorporating refrigerant leakage and embodied equipment carbon remains necessary before any net-carbon claim is made.
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Nomenclature
| CAPEX | Capital Expenditure (USD) |
| CGE | Cold Gas Efficiency (%) |
| COP | Coefficient of Performance |
| COPshaft | Corresponding shaft-referred coefficient of performance |
| DMD | Direct Mechanical Drive |
| EPG | Electrical Power Generation |
| ICE | Internal Combustion Engine |
| LCC | Life-Cycle Cost (USD) |
| LHV | Lower Heating Value (MJ/m3) |
| NPV | Net Present Value (USD) |
| OPEX | Operational Expenditure (USD) |
| VCRS | Vapor Compression Refrigeration System |
| Symbols | |
| Ashell | Tank shell surface area (m2) |
| Cp,i | Specific heat of ice (kJ/kg·K) |
| Cp,w | Specific heat of water (kJ/kg·K) |
| mole-fraction-weighted mean specific heat (kJ/kg·K) | |
| Ex | Exergy rate (kW) |
| h | Specific enthalpy (kJ/kg) |
| Lf | Latent heat of fusion (kJ/kg) |
| Mass flow rate (kg/s or kg/h) | |
| Volumetric flow rate (m3/h) | |
| Refrigerant mass flow rate (kg/s, kg/h) | |
| Fluid-side compression work (kW) | |
| Compressor shaft dissipation (kW) | |
| Condenser heat rejection rate (kW) | |
| Conductive heat gain through insulated shell (kJ/h) | |
| Parasitic heat-bridge gain (kJ/h) | |
| Total environmental heat gain (kJ/h) | |
| Design cooling capacity (kW) | |
| Thermal conductivity of polyurethane insulation (W/m·K) | |
| Thermal conductivity of ice (W/m·K) | |
| Insulation thickness (mm) | |
| Enclosure temperature difference (K) | |
| Exdest | Exergy destruction rate (kW) |
| ε | Exergy efficiency (%) |
| λ | Air-to-fuel equivalence ratio (dimensionless) |
| τ | Torque (N·m) |
| ω | Angular velocity (rad/s) |
| P | Pressure (bar) |
| Q | Heat transfer rate or cooling capacity (kW or kJ/h) |
| r | Discount rate (%) |
| T | Temperature (°C or K) |
| T0 | Ambient dead-state temperature |
| TL | Evaporating (cold-space) temperature (K) |
| U | Overall heat transfer coefficient (W/m2·K) |
| W | Work or power input (kW) |
| Greek letters | |
| ηsystem | Biomass-referenced First-Law system efficiency (%) |
| ηis | Isentropic efficiency of compressor (dimensionless) |
| ηshaft⟶ref | Shaft-to-refrigerant conversion ratio (dimensionless) |
| ηis,shaft | Shaft-referred isentropic efficiency of compressor (dimensionless) |
| εsys | Biomass-referenced system exergy efficiency (%) |
| δ | Uncertainty value |
| φ | Chemical exergy-to-LHV ratio |
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| Parameter | PV-Battery | Biomass EPG | Biomass DMD |
|---|---|---|---|
| Initial Capital Cost | High (panel + battery) | Medium | Lowest |
| System Complexity | High (inverter/controller) | Medium | Low (mechanical link) |
| Energy Loss Stages | High (PV → DC → AC → motor) | High (ICE → gen → motor) | Lowest (ICE → belt → comp.) |
| Battery Service Life | 2–5 years | N/A | N/A |
| Fuel Dependency | Solar irradiance | Biomass/fossil | Biomass only |
| Suitability | High-irradiance regions | Areas with waste materials | Remote agriculture |
| Measured Parameter | Instrument | Range | Accuracy | Location in Schematic |
|---|---|---|---|---|
| T1–T4 (refrigerant) | K-type TC (IEC 60584 Cl.2) | −40 to 200 °C | ±1.5 °C | States 1–4, (Figure 3 and Figure 4) |
| PL, PH | Bourdon gauge (calibrated) | 0–20 bar | ±0.1 bar | Comp. suction/discharge |
| Syngas flow (FR) | Rotameter, Dwyer RMA | 0–10 m3/h | ±2% FS | Post-scrubber |
| Fuel mass (Mo, Mf) | Digital balance | 0–5 kg | ±0.1 g | Charcoal batch |
| Syngas composition | GC, Shimadzu GC-2014 TCD | — | per GUM prop. | GC port ① |
| Tar content | IEA/BAM impinger, gravimetric | — | ±4.7 mg/m3 | Engine inlet |
| Compressor shaft power | Reaction torque transducer | 0–50 Nm | ±0.5% FS | Shaft, TQ point ③ |
| Compressor speed | Habotest HT671 (Dongguan Habotest Instrument Technology Co., Ltd., Dongguan, China) | 0–3000 rpm | ±1 rpm | Compressor pulley |
| (a) | ||||
| Thermophysical Properties | ||||
| Parameter | Symbol | Value | Unit | Basis |
| Specific heat of water (0–30 °C mean) | cp,w | 4.19 | kJ/kg−1 K−1 | ASHRAE Handbook (Fundamentals) |
| Latent heat of fusion of water at 0 °C | Lf | 334.5 | kJ/kg−1 | ASHRAE Handbook (Fundamentals) |
| Specific heat of ice (0 to −4 °C mean) | cp,i | 2.09 | kJ/kg−1 K−1 | ASHRAE Handbook (Fundamentals) |
| Thermal conductivity, polyurethane foam | kins | 0.025 | W/m−1 K−1 | Manufacturer data |
| Thermal conductivity of ice (Equation (5) only) | kice | 2.22 | W/m−1 K−1 | Not applied (see Note 5) |
| Batch, temperature and enclosure parameters | ||||
| Water batch mass processed | mw | 6.0 ± 0.05 | kg h−1 | 2.3.1, digital balance |
| Ice formation rate, steady state | mi | 2 | kg h−1 | Gravimetric, 2.1 |
| Inlet water temperature | Tin | 30.0 ± 0.5 | °C | K-type, TC |
| Freezing temperature | Tf | 0 | °C | — |
| Final ice temperature | Tice | −4 | °C | K-type TC |
| Ambient/dead-state temperature | Tamb = T0 | 30 ± 2 | °C | 2.3 |
| Enclosure temperature difference | ΔTenv | 34 | K | 30 − (−4) |
| Insulation thickness | tins | 35 | mm | Measured |
| Tank shell external surface area | Ashell | 0.95 | m2 | Measured |
| Wall heat transfer coefficient, as-built | Uwall | 0.75 | W m−2 K−1 | Note 3 |
| Effective coefficient incl. heat bridges | Ueff | 2.2 | W m−2 K−1 | /(Ashell × ΔTenv) |
| Design margin | — | 15 | % | Component-sizing allowance |
| (b) | ||||
| Load Term | Expression | kJ h−1 | kW | % of |
| Sensible cooling of water, 30 → 0 °C | mw × cp,w × ΔT (6.0 × 4.19 × 30) | 754.2 | 0.2095 | 44.5 |
| Latent heat of solidification at 0 °C | mi × Lf (2.0 × 334.5) | 669 | 0.1858 | 39.4 |
| Sensible cooling of ice, 0 → −4 °C | mi × cp,I × ΔT (2.0 × 2.09 × 4) | 16.7 | 0.0046 | 1 |
| Conduction through insulated shell, wall | Uwall × Ashell × ΔTenv × 3.6 (0.75 × 0.95 × 34 × 3.6) | 87.2 | 0.0242 | −5.1 |
| Parasitic heat bridges, bridge | Estimated allowance (Note 4) | 168.8 | 0.0469 | −10 |
| Environmental heat gain, env | wall + bridge | 256 | 0.0711 | 15.1 |
| Total cooling load, total | Σ (four additive terms) | 1695.90 | 0.4711 | 100 |
| Design margin (15%) | 0.15 × total | 254.4 | 0.0707 | — |
| Design cooling capacity, design | 1.15 × total | 1950.30 | 0.542 | — |
| Component/Property | Value (Mean ± SD) | Unit |
|---|---|---|
| Nitrogen (N2) | 58.80 ± 0.42 | vol% |
| Carbon Monoxide (CO) | 30.83 ± 0.68 | vol% |
| Hydrogen (H2) | 7.78 ± 0.31 | vol% |
| Carbon Dioxide (CO2) | 1.74 ± 0.08 | vol% |
| Methane (CH4) | 0.17 ± 0.02 | vol% |
| Oxygen (O2) | 0.68 ± 0.05 | vol% |
| Apparent Molecular Weight | 26.06 ± 0.12 | g/mol |
| Lower Heating Value (LHV)—volumetric | 4.79 ± 0.15 | MJ/m3 |
| Feedstock (longan charcoal) LHV, gravimetric [38,39] | 29.0 ± 0.4 | MJ/kg |
| Feedstock moisture (as-received) | 5.0 ± 0.5 | wt% |
| Feedstock fixed carbon (as-received) | 85.8 ± 1.2 | wt% |
| Syngas LHV, gravimetric | 4.12 | MJ/kg |
| Tar Content (engine inlet, post-scrubber) | 48.3 ± 4.7 | mg/m3 |
| Cold Gas Efficiency (CGE), measured | 68.4 ± 2.1 | % |
| Node/Flow | Power (kW) | % of Biomass Input | Type | Loss Category/Remark |
|---|---|---|---|---|
| A. Primary input | ||||
| Primary biomass input, () | 14.82 | 100 | Input | 1.84 kg/h × 29 MJ/kg |
| B. Gasification stage | ||||
| B1. Reactor boundary (gasification) | ||||
| (i) Reactor wall loss (radiation + convection) | 0.65 | 4.4 | Loss | Irrecoverable environmental loss |
| (ii) Unconverted carbon in char fines, ash and scrubber residue | 2.20 | 14.8 | Loss (closure) | Dominant reactor loss; corroborated by the carbon balance of 3.1 |
| Reactor loss subtotal | 2.85 | 19.2 | Loss | (i) + (ii) |
| Hot raw gas leaving the reactor (chemical + sensible + latent) | 11.97 | 80.8 | Cascade | 10.14 chemical + 1.67 sensible + 0.16 latent; ηhot-gas = 79.7% on a chemical-plus-sensible basis |
| B2. Gas-conditioning boundary (cyclone + wet scrubber + moisture separator) | ||||
| (iii) Syngas sensible heat rejected to scrubber water (600 → 30 °C) | 1.67 | 11.3 | Loss | Rejected downstream of the reactor; recoverable in principle (Section 4.1) |
| (iv) Water-vapor condensation (latent) | 0.16 | 1.1 | Loss | Feedstock moisture (0.09 kg/h) + water–gas-shift water (0.14 kg/h) |
| Conditioning loss subtotal | 1.83 | 12.3 | Loss | (iii) + (iv) |
| Cold cleaned syngas delivered to ICE (CGE = 68.4%) | 10.14 | 68.4 | Cascade | Measured at the engine inlet, post-scrubber |
| C. Engine stage | ||||
| Engine exhaust enthalpy | 5.23 | 35.3 | Loss | WHR potential |
| Engine block + radiator cooling loss | 3.53 | 23.8 | Loss | Partially recoverable |
| ICE brake power output | 1.38 | 9.3 | Cascade | Not a loss; carried forward to node D |
| D. Transmission stage | ||||
| V-belt and clutch transmission loss | 0.37 | 2.5 | Loss | Friction/heat |
| Compressor shaft input | 1.01 | 6.8 | Cascade | Not a loss; carried forward to node E |
| E. Compressor stage | ||||
| (E-i) Mechanical parasitics (lip seal, ring drag, slider pad) | ~0.10 | 0.7 | Loss (sub-item) | From ηmech,comp = 0.90 (assumed) |
| (E-ii) Internal leakage and clearance re-expansion | ~0.71 | 4.8 | Loss (sub-item) | Dominant; volumetric deficiency at 7.7–15.5% rated load |
| Compressor internal dissipation, () | 0.812 | 5.5 | Loss | Dissipated within the compressor by internal leakage, re-expansion and parasitic friction (Section 2.1) |
| Fluid compression work, () | 0.198 | 1.34 | Product of the biomass chain | Energy transferred to the R-134a refrigerant; (ηshaft→ref = 19.6%) |
| Closure check | ||||
| Σ all loss rows (B + C + D + E) | 14.622 | 98.66 | — | 4.68 + 8.76 + 0.37 + 0.812 |
| Σ losses + fluid compression work | 14.82 | 100 | — | Balance closes identically |
| Emission Source/Category | EPG-Gasoline (kg CO2e/h) | DMD-Syngas (kg CO2e/h) |
|---|---|---|
| Fossil CO2 from fuel combustion | 2.73 | ~0.00 (biogenic) |
| Charcoal carbonization emissions (CH4 + CO2) * | — | 2.76–3.13 |
| Black carbon/PM 2.5 warming impact | 0.08 | 0.10–0.18 |
| Credit: displaced open burning of longan residues | — | −4.2 to −5.6 ** |
| Credit, Kyoto-basket only (CH4 + N2O, BC excluded) | --- | −0.62 |
| Net emission, Kyoto-basket credit only | 2.81 | +2.24 to +2.69 |
| Net operational-phase emission, attributional (no credit) | 2.81 | 2.86–3.31 |
| Net emission incl. consequential residue-displacement credit (scenario only) | 2.81 | −2.74 to −0.89 |
| Net Annual Carbon Savings vs. baseline (2400 h/yr) | Baseline (6744 kg CO2e/yr) | 8880–13,320 (with credit) ≈−120 to −1200 (without credit) |
| Embodied carbon, amortized over 10 yr (kg CO2e/yr) | ~29 | ~29 |
| R-134a leakage at 5–10% of 1.2 kg charge (kg CO2e/yr) | 86–172 | 86–172 |
| Screened subtotal (kg CO2e/yr) | 115–200 | 115–200 |
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Share and Cite
Nakaravarayut, K.; Prasartkaew, B. Thermodynamic Performance of a Direct-Drive Biomass-Powered Vapor Compression Refrigeration System. Energies 2026, 19, 4128. https://doi.org/10.3390/en19174128
Nakaravarayut K, Prasartkaew B. Thermodynamic Performance of a Direct-Drive Biomass-Powered Vapor Compression Refrigeration System. Energies. 2026; 19(17):4128. https://doi.org/10.3390/en19174128
Chicago/Turabian StyleNakaravarayut, Karn, and Boonrit Prasartkaew. 2026. "Thermodynamic Performance of a Direct-Drive Biomass-Powered Vapor Compression Refrigeration System" Energies 19, no. 17: 4128. https://doi.org/10.3390/en19174128
APA StyleNakaravarayut, K., & Prasartkaew, B. (2026). Thermodynamic Performance of a Direct-Drive Biomass-Powered Vapor Compression Refrigeration System. Energies, 19(17), 4128. https://doi.org/10.3390/en19174128

