Example for the exergy analysis in TESPy. Find more information about the exergy analysis feature in the respective online documentation.
The refrigeration cycle model has the following topology:
Find the model specifications and results in the refrigeration.py script and the corresponding pdf model report
Clone the repository and build a new python environment. From the base directory of the repository run
pip install -r ./requirements.txtto install the version requirements for the refrigeration.py python script.
The original data of the plant are obtained from the following publication:
T. Morosuk, G. Tsatsaronis, Advanced exergoeconomic analysis of a refrigeration machine: Part 1 — methodology and first evaluation, in: Energy Systems Analysis, Thermodynamics and Sustainability Combustion Science and Engineering Nanoengineering for Energy, Parts A and B, ASMEDC, 2011. doi: 10.1115/imece2011-62688.
The tables below show the results of the simulation as well as the validation results. The original data from the publication are provided in the .csv files component_validation.csv and connection_validation.csv.
TESPy simulation
| e_PH in kJ/kg | e_T in kJ/kg | e_M in kJ/kg | E_PH in kW | E_T in kW | E_M in kW | |
|---|---|---|---|---|---|---|
| 0 | 5.8 | 5.8 | 0.0 | 23.98 | 23.98 | 0.00 |
| 1 | 5.8 | 5.8 | 0.0 | 23.98 | 23.98 | 0.00 |
| 2 | 163.9 | 22.1 | 141.8 | 674.08 | 90.85 | 583.23 |
| 3 | 137.8 | 0.2 | 137.6 | 566.77 | 0.68 | 566.09 |
| 4 | 17.1 | 12.9 | 4.2 | 70.28 | 53.11 | 17.17 |
| 11 | 2.2 | 2.2 | 0.0 | 22.31 | 22.31 | 0.00 |
| 12 | 3.8 | 3.8 | 0.0 | 37.82 | 37.82 | 0.00 |
| 21 | 0.1 | -0.0 | 0.1 | 0.40 | -0.00 | 0.40 |
| 22 | 1.6 | 1.5 | 0.1 | 12.47 | 12.07 | 0.40 |
Absolute difference in the values Δ
| Δ m in kg/s | Δ T in °C | Δ p in bar | Δ h in kJ/kg | Δ e_T in kJ/kg | Δ e_M in kJ/kg | |
|---|---|---|---|---|---|---|
| 1 | -0.085 | 0.0 | 0.00 | 0.0 | 0.0 | 0.0 |
| 2 | -0.085 | 0.2 | 0.00 | 0.1 | 0.0 | -0.0 |
| 3 | -0.085 | -0.0 | -0.00 | -0.7 | 0.0 | -0.0 |
| 4 | -0.085 | -0.4 | 0.00 | -0.5 | 0.0 | 0.0 |
| 11 | -0.023 | 0.0 | 0.00 | 0.1 | 0.0 | 0.0 |
| 12 | -0.023 | 0.0 | 0.00 | 0.1 | 0.0 | 0.0 |
| 21 | -0.106 | 0.0 | 0.00 | 0.0 | -0.0 | 0.0 |
| 22 | -0.106 | 0.0 | 0.00 | -0.0 | -0.0 | 0.0 |
Relative deviation in the values δ
| δ m in % | δ T in % | δ p in % | δ h in % | δ e_T in % | δ e_M in % | |
|---|---|---|---|---|---|---|
| 1 | -2.024 | -0.0 | 0.0 | nan | 0.2 | nan |
| 2 | -2.024 | 0.1 | 0.0 | 0.0 | 0.5 | -0.1 |
| 3 | -2.024 | -0.0 | -0.0 | -1.0 | 10.7 | -0.0 |
| 4 | -2.024 | 0.7 | 0.0 | 2.2 | 1.4 | 0.1 |
| 11 | -0.229 | -0.0 | 0.0 | 0.6 | 0.2 | nan |
| 12 | -0.229 | -0.0 | 0.0 | 0.6 | 0.1 | nan |
| 21 | -1.328 | 0.0 | 0.0 | nan | -inf | 0.3 |
| 22 | -1.328 | 0.0 | 0.0 | -0.0 | -0.3 | 0.3 |
Deviation due to differences in fluid property data
TESPy simulation
| E_F in kW | E_P in kW | E_D in kW | ε in % | y_Dk in % | y*_Dk in % | |
|---|---|---|---|---|---|---|
| Cooling heat exchanger | 46.30 | 15.51 | 30.79 | 33.5 | 7.0 | 7.5 |
| Compressor | 815.29 | 674.08 | 141.21 | 82.7 | 32.1 | 34.3 |
| Heat sink heat exchanger | 107.31 | 12.07 | 95.24 | 11.2 | 21.7 | 23.1 |
| Turbine | 549.60 | 404.62 | 144.98 | 73.6 | 33.0 | 35.2 |
Disaggregating the Inverter from the Compressor and Turbine
| E_F in kW | E_P in kW | E_D in kW | |
|---|---|---|---|
| Compressor | 785.21 | 674.08 | 111.12 |
| Cooling heat exchanger | 46.30 | 15.51 | 30.79 |
| Heat sink heat exchanger | 107.31 | 12.07 | 95.24 |
| Inverter | 439.80 | 395.82 | 43.98 |
| Turbine | 549.60 | 418.51 | 131.09 |
Absolute difference in the values Δ compared to disaggregation
| Δ E_F in kW | Δ E_P in kW | Δ E_D in kW | |
|---|---|---|---|
| Compressor | -15.99 | -13.82 | -2.18 |
| Cooling heat exchanger | -0.26 | -0.00 | -0.26 |
| Heat sink heat exchanger | -1.79 | -0.17 | -1.62 |
| Inverter | -7.76 | -6.98 | -0.78 |
| Turbine | -11.60 | -8.79 | -2.81 |
Relative deviation in the values δ compared to disaggregation
| δ E_F in % | δ E_P in % | δ E_D in % | |
|---|---|---|---|
| Compressor | -2.00 | -2.01 | -1.92 |
| Cooling heat exchanger | -0.56 | -0.00 | -0.84 |
| Heat sink heat exchanger | -1.64 | -1.40 | -1.67 |
| Inverter | -1.73 | -1.73 | -1.74 |
| Turbine | -2.07 | -2.06 | -2.10 |
High deviation due to differences in component exergy balances
| E_F in kW | E_P in kW | E_D in kW | E_L in kW | ε in % |
|---|---|---|---|---|
| 439.80 | 15.51 | 412.23 | 12.07 | 3.5 |
The state of this repository is archived via zenodo. If you are using the TESPy model within your own research, you can refer to this model via the zenodo doi: 10.5281/zenodo.4751856.
Copyright (c) 2022 Francesco Witte, Julius Meier, Ilja Tuschy, Mathias Hofmann
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