| Literature DB >> 35005271 |
Gonzalo Chiriboga1, Santiago Capelo1, Pablo Bunces1, Carla Guzmán1, Jonathan Cepeda1, Gilda Gordillo1, Diego E Montesdeoca1, Ghem Carvajal C1.
Abstract
Globally, the greenhouses' farming area comprises 500 000 ha, and they efficiently produce more than half of the vegetables consumed around the world. Nevertheless, high-yield crops tend to be incredibly energy-intensive. This study proposes designing and building a coupled geothermal heat pump for a 470 m2 greenhouse in the Andean zone conditions addressing a requirement of 15 °C at night and 30 °C during the day. Firstly, the study determined the energy potential of the solar and geothermal sources employing actual measurements and contrasting the results with theoretical models. Then, it developed an energy balance in the greenhouse to size the geothermal heat pump using the vapor compression cycle. Finally, the comprehensive system was built and evaluated through the Leveled Cost of Heat (LCOH). The operation requires a potential of 29.56 and 65.76 kW for heating and cooling; this is technically feasible when running the system with a heating flow driven by an optimized temperature ramp of 1.64 °C h-1. Also, the capacity factor (CF) shows that a lifespan between 12 to 14 years is required to reach acceptable LCOH when CF is as low as 0.45. Financially, it is necessary to foster customs exemptions to make it competitive versus more traditional sources such as electricity and LPG since the main components of the heat pump and the geothermal exchanger are not produced locally and represent nearly 70 % of the upfront costs.Entities:
Keywords: Capacity factor; Ecuador; Geothermal conditioning; Greenhouse; Heat pump; LCOH
Year: 2021 PMID: 35005271 PMCID: PMC8718490 DOI: 10.1016/j.heliyon.2021.e08608
Source DB: PubMed Journal: Heliyon ISSN: 2405-8440
Figure 1Relations diagram – Method depiction.
Figure 2Project global methodology adjusted to CSA.
Figure 3Heat pump and refrigeration functioning.
Figure 4Project georeferencing imagery.
Figure 5Soil sampling points inside the greenhouse.
Figure 6Thermal conductivity determination.
Figure 7Differential scanning calorimetry of soil samples.
Greenhouse and material properties.
| Parameter | Value | Unit |
|---|---|---|
| Material | Polyvinyl chloride | |
| Wall thickness | 7.00 | μm |
| Conductivity | 0.16 | W m−1 K−1 |
| Transmittance | 0.91 | |
| Absorbance | 0.02 | |
| Length | 23.50 | m |
| Width | 20.00 | m |
| Height | 3.50 | m |
Soil results in function of depth.
| Depth [m] | Conductiviy [W m−1 K−1] | Porosity | Density [kg m−3] | Specific Heat [J kg−1 °C−1] | Difusivity [cm2 s−1] | Avg Temp [oC] |
|---|---|---|---|---|---|---|
| 1.0 | 0.3146 | 0.39 | 1 950 | 576 | 0.00281 | 17.30 |
| 1.5 | 0.3140 | 0.26 | 1 730 | 478 | 0.00380 | 17.69 |
| 2.0 | 0.2907 | 0.34 | 1 870 | 518 | 0.00299 | 19.40 |
Fundamental energy and heat transfer equations.
| Description | Equation |
|---|---|
| Effective solar radiation | |
| Heat transfer coefficient | |
| Heat flow greenhouse - environment | |
| Heat flow greenhouse - soil | |
| Heat flow required |
Effective solar radiation and extreme temperatures in the greenhouse.
| Parameters | Value | Unit |
|---|---|---|
| Effective radiation | 3.6 | MJ m−2 |
| Registered maximum temperature | 45.2 | °C |
| Registered minimum temperature | 4.0 | °C |
Figure 8Temperature profiles, including soil, greenhouse, and setpoints.
Figure 9Optimized conditioning ramp of temperature.
Thermodynamics solution of refrigeration cycle.
| Enthalpy [kJ kg−1] | Pressure [kPa] | Entropy [kJ kgK−1] | Temperature [°C] | Qhp [kJ kg−1] | Qr [kJ kg−1] | WR [kJ kg−1] | COPR | |
|---|---|---|---|---|---|---|---|---|
| 1 | 350.7 | 519.5 | 1.546 | 3.0 | 238.1 | |||
| 2 | 588.8 | 519.5 | 2.407 | 9.0 | 74.5 | 3.2 | ||
| 3 | 663.3 | 2 089.0 | 2.429 | 72.9 | 312.6 | |||
| 4 | 350.7 | 2 089.0 | 1.491 | 54.4 |
Thermodynamics solution of heating cycle.
| Enthalpy [kJ kg−1] | Pressure [kPa] | Entropy [kJ kgK−1] | Temperature [°C] | Qhp [kJ kg−1] | Qr [kJ kg−1] | WR [kJ kg−1] | COPR | |
|---|---|---|---|---|---|---|---|---|
| 1 | 308.4 | 519.5 | 1.393 | 3.0 | 280.4 | 58.4 | 4.8 | |
| 2 | 588.8 | 519.5 | 2.407 | 9.0 | ||||
| 3 | 647.2 | 1 543.0 | 2.425 | 57.6 | 338.8 | |||
| 4 | 308.4 | 1 543.0 | 1.362 | 40.3 |
Geothermal heat exchanger results.
| Description | Value r | Value hp | Unit | |
|---|---|---|---|---|
| Flow | Friction losses | 851 | 285 | kPa |
| Outside area | 49.6 | 49.6 | m2 | |
| Cross-sectional area | 7.07 × 10−4 | 7.07 × 10−4 | m2 | |
| Flow | 1.46 × 10−3 | 8.81 × 10−4 | m3 s−1 | |
| Mass flow | 1.45 | 8.79 × 10−1 | kg s−1 | |
| Speed | 2.06 | 1.25 | m s−1 | |
| Length | 5.26 × 102 | 5.26 × 102 | m | |
| Pumping | Power | 1.24 × 103 | 2.51 × 102 | W |
| Heat | Reynolds | 9.40 × 104 | 3.62 × 104 | |
| Prandtl | 4.32 | 7.31 | ||
| Nusselt | 5.44 × 102 | 2.41 × 102 | ||
| Convection coefficient | 1.14 × 104 | 4.74 × 103 | W m−2 °C | |
| Global Transfer coefficient | 2.03 × 102 | 1.98 × 102 | W m−2 K−1 | |
| Logarithmic mean temperatures | -9.01 | 2.52 | °C | |
| Total heat removed | -9.07 × 104 | 2.47 × 104 | W | |
Compressor parameters and working conditions.
| Pressure [kPa] | Temperature [°C] | Flow [kg s−1] | Power [kW] | |||||
|---|---|---|---|---|---|---|---|---|
| Min | Max | Min | Max | Min | Max | Min | Max | |
| Suction | 519.5 | 519.5 | 9.0 | 9.0 | 0.09 | 0.29 | 5.15 | 21.61 |
| Discharge | 1 543.0 | 2 089.0 | 57.6 | 72.9 | ||||
Valve operation conditions.
| Pressure [kPa] | Temperature [°C] | Flow [kg/s] | ||||
|---|---|---|---|---|---|---|
| Min | Max | Min | Max | Min | Max | |
| Inlet | 1 543.0 | 2 083.0 | 40.3 | 54.4 | 0.09 | 0.29 |
| Outlet | 519.5 | 519.5 | 3.0 | 3.0 | ||
Heat exchangers properties and results.
| Cold flow | Hot flow | Cold flow | Hot flow | |||
|---|---|---|---|---|---|---|
| Temperatures [°C] | Refrigeration | Inlet | 33.0 | 72.9 | 3.0 | 42.5 |
| Outlet | 48.0 | 54.5 | 9.0 | 30.0 | ||
| Heating | Inlet | 3.0 | 29.0 | 4.0 | 57.6 | |
| Outlet | 9.0 | 22.0 | 15.0 | 40.3 | ||
| Capacity [kW] | Refrigeration | 90.7 | 69.1 | |||
| Heating | 24.7 | 29.8 | ||||
| UA [W °C−1] | 4 961.4 | 3 117.7 | ||||
Figure 10Disaggregated costs of the system.
Net present value.
| NPV [$] | Rate [%] |
|---|---|
| 21 228 | 5.00 |
| 16 684 | 6.00 |
| 12 681 | 7.00 |
| 9 142 | 8.00 |
| 6 002 | 9.00 |
| 0 | 11.30 |
Bold denotes the actual capital cost at which these projects are financed in Ecuador.
LCOH compared with electricity price.
| Year | Capacity Factor CF | |||||
|---|---|---|---|---|---|---|
| 0.35 | 0.40 | 0.45 | 0.50 | 0.55 | 0.60 | |
| 9 | 0.160 | 0.143 | 0.130 | 0.119 | 0.110 | 0.103 |
| 10 | 0.148 | 0.132 | 0.120 | 0.110 | 0.102 | 0.095 |
| 11 | 0.139 | 0.124 | 0.113 | 0.104 | 0.096 | 0.090 |
| 12 | 0.131 | 0.117 | 0.107 | 0.098 | 0.091 | 0.085 |
| 13 | 0.125 | 0.112 | 0.102 | 0.094 | 0.087 | 0.082 |
| 14 | 0.119 | 0.107 | 0.097 | 0.090 | 0.084 | 0.078 |
| 15 | 0.114 | 0.103 | 0.094 | 0.086 | 0.081 | 0.076 |
| 16 | 0.110 | 0.099 | 0.090 | 0.084 | 0.078 | 0.073 |
| 17 | 0.107 | 0.096 | 0.088 | 0.081 | 0.076 | 0.071 |
| 18 | 0.103 | 0.093 | 0.085 | 0.079 | 0.073 | 0.069 |
| 19 | 0.100 | 0.090 | 0.083 | 0.077 | 0.072 | 0.067 |
| 20 | 0.098 | 0.088 | 0.081 | 0.075 | 0.070 | 0.066 |
Figure 11LCOH as a function CF.
Figure 12Yield and trading prices of greenhouse's cultivable crops.
Figure 13Geothermal heat pumps perspectives.