4E Analysis of Alternative Configurations in Mobile Air Conditioning Used in Electromobility and Conventional Vehicles
Abstract
1. Introduction
2. Materials and Methods
2.1. Cycle Configurations
- Basic cycle (BC);
- Cycle with internal heat exchanger and thermostatic expansion valve (IHXC + TEV);
- Cycle with internal heat exchanger and short tube (IHXC + ST);
- Cycle with ejector (EC);
- Cycle with ejector and internal heat exchanger (EC + IHX).
2.1.1. Basic Cycle (BC)
2.1.2. Cycle with IHX and Thermostatic Expansion Valve (IHXC + TEV)
2.1.3. Cycle with IHX and Short Tube (IHXC + ST)
2.1.4. Ejector Cycle (EC)
2.1.5. Ejector Cycle with IHX (EC + IHX)
2.2. Input Parameters
2.2.1. Factors Considered for Ejector Cycle Modeling
- The analysis is based on steady state conditions;
- Pressure drops occurring in the energy exchange components and through the piping lines are neglected;
- The states at the outlet of the evaporator and condenser are saturated;
- The throttling process in the expansion valve is isenthalpic;
- Friction losses occurring due to the flow within the ejector components are considered in the form of efficiencies;
- The efficiencies of the ejector components are constant.
2.2.2. Operating Conditions for All Cycle Configurations
2.2.3. Validation of the Model Used in the Cycle with Ejector
2.2.4. Sensitivity Analysis for Cycles with Ejector
2.3. Low-GWP Alternative Refrigerants
2.4. Equations for Energy Analysis
2.5. Equations for Exergy Analysis
2.6. Equations for Exergoeconomic Analysis
3. Results and Discussion
3.1. Energy Analysis
3.1.1. Volumetric Refrigeration Capacity (VRC)
3.1.2. Coefficient of Performance (COP)
3.2. Exergy Analysis
3.2.1. Destruction of Exergy in the Cycle Components
3.2.2. Exergy Efficiency
3.3. Exergoeconomic Analysis
3.3.1. Exergy Destruction Cost
3.3.2. Exergoeconomic Factor
3.4. Multivariable Comparative
3.5. Environmental Analysis
4. Conclusions
- The refrigerant R1243zf exhibits the best performance as a direct replacement for R134a in the basic cycle. The COP and exergy efficiency are similar to those presented by R134a. Based on the total cost ratio, R1243zf does not represent a higher cost concerning R134a, and the reduction in volumetric cooling capacity is approximately 17%.
- The cycle configurations with an IHX and short tube or expansion valve help to improve the COP of all refrigerants; however, for R1234yf, R1234ze(E), R1243zf, and R516A, the IHX promotes an improvement that helps to overcome the COP of R134a in the basic cycle, likewise increasing the exergy efficiency and decreases the total exergy destruction, with its impact being most significant when used at a condensing temperature of 45 °C, since at higher temperatures, the IHX increases the discharge temperature in the compressor. Hence, it decreases its benefit for alternative refrigerants.
- The use of an IHX with R444A and R445A does not represent an increase in the performance of these refrigerants compared to R134a. In addition, the IHX promotes an increase in exergy destruction and decreases the exergy efficiency; likewise, the total cost ratio of the cycle configuration with an IHX for R444A and R445A reflects a rise of 35% and 70%, respectively.
- The cycle with ejector and IHX shows the highest COP increase for the alternative refrigerants. Even with this configuration, R444A achieves similar performance to R134a in the basic cycle. For refrigerants R1234yf, R1234ze(E), R1243zf, and R516A, the COP increases above 20%.
- From an exergy and exergoeconomic perspective, the ejector cycle offers a significant advantage over the basic cycle with R134a. For refrigerants R1234yf, R1234ze(E), R1243zf, and R516A, the exergy efficiency increases by over 15%, and the total exergy destruction is reduced by up to 20%. In addition, the volumetric cooling capacity increases by up to 80% when using R1234yf, R516A, and R444A refrigerants. However, the total cost ratio of refrigerants R1234yf and R444A increases by up to 40%. In this case, R1234yf in the cycle with an ejector shows an increase in exergy performance, but with a 20% increase in the total cost ratio compared to the basic cycle with R134a.
- Through the TEWI analysis, a reduction in emissions was observed when using the alternative cycle configurations. In this sense, the cycle with an ejector and the cycle with an ejector and IHX showed the most significant reduction in terms of TEWI. The refrigerants that reduce emissions by up to 25% are R1234yf, R1234ze(E), R1243zf, and R516A.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Nomenclature
| A | area, m2 |
| c | unit exergy cost, $ kJ−1 |
| exergy cost rate, $ h−1 | |
| C | thermal capacitance, kW K−1 |
| Cp | specific heat, kJ kg−1 K−1 |
| D | diameter, m |
| characteristic diameter, m | |
| exergy rate, kW | |
| exergoeconomic factor | |
| G | mass velocity, kg m−2 s−1 |
| g | gravitational constant, m s−2 |
| h | transfer coefficient, W m−2 K−1 |
| interest rate, % | |
| j | Colburn factor |
| k | thermal conductivity, W m−2 K−1 |
| mass flow rate, kg s−1 | |
| N | lifetime, year |
| P | pressure, kPa |
| Pr | Prandtl number |
| heat transfer rate, kW | |
| Re | Reynolds number |
| annual operating time, h | |
| pressure drop, kPa | |
| T | temperature, °C |
| U | global heat transfer coefficient, W m−2 K−1 |
| ejector entrainment ratio | |
| V | velocity, m s−1 |
| power consumption, kW | |
| x | Quality |
| Z | cost, $ |
| levelized investment cost rate, $ h−1 | |
| Greek Symbols | |
| effectiveness | |
| efficiency | |
| difference | |
| density, kg m−3 | |
| operation and maintenance cost factor | |
| surface tension, N m−1 | |
| viscosity, Pa s−1 | |
| Subscripts | |
| a | air |
| CC | cold current |
| CI | capital investment |
| comp | compressor |
| cond | condenser |
| D | destruction |
| dis | discharge |
| eje | ejector |
| evap | evaporator |
| f | fuel |
| fn | fin |
| HC | hot current |
| in | inlet |
| ise | isentropic |
| k | k th component |
| l | liquid |
| mix | mixture |
| mot | motive |
| o | ambient (dead state) |
| OM | operating and maintenance |
| opt | optimal |
| out | outlet |
| p | product |
| ref | refrigerant |
| refe | reference |
| ST | short tube |
| suc | suction |
| SUP | superheating |
| TOT | total |
| v | vapor |
| Abbreviations | |
| BC | basic cycle |
| COP | coefficient of performance |
| CRF | capital recovery factor |
| EC | ejector cycle |
| EC + IHX | ejector cycle + internal heat exchanger |
| GWP | global warming potential |
| HFC | hydrochlorofluorocarbon |
| HFO | hydrofluoroolefine |
| IHXC + TEV | cycle with internal heat exchanger + thermostatic expansion valve |
| IHXC + ST | cycle with internal heat exchanger + short tube |
| MAC | mobile air conditioning |
| NTU | number of transfer units |
| TEV | thermostatic expansion valve |
Appendix A. Heat Exchanger Model
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| MAC Application | Installed Base, 2010 | New Systems, 2021 | New Systems, 2030 |
|---|---|---|---|
| cars, trucks, taxis | 100% R134a | 100% HFO | 5% Naturals |
| 95% HFO | |||
| Buses, trains | 80% R134a | 50% R134a | 20% Naturals |
| 20% R410A | 20% R410A | 55% HFO | |
| 10% HFO | 25% R32 | ||
| 20% R513A |
| Section of Ejector | Governing Equation |
|---|---|
| Motive nozzle | |
| Suction nozzle | |
| Mixing section | |
| Diffuser section | |
| Balance equation | |
| Liquid-Vapor separator |
| Parameter | Value | References |
|---|---|---|
| Evaporating temperature, | 0 °C to 16 °C | [28,30,45,48,52] |
| Condensing temperature, | 45 °C and 55 °C | [49,50] |
| Superheating TEV for BC and IHXC, | 5 °C | [48,53] |
| Effectiveness IHX, | 0.7 | [30,31,54] |
| Isentropic efficiency motive nozzle, | 0.85 | [55,56,57,58,59,60] |
| Isentropic efficiency suction nozzle, | 0.85 | [55,56,57,58,59,60] |
| Isentropic efficiency mixing section, | 0.9 | [55,56,57,58,59,60] |
| Isentropic efficiency diffuser, | 0.85 | [55,56,57,58,59,60] |
| Reference state temperature, | 25 °C | - |
| Reference state pressure, | 101.3 kPa | - |
| Cooling capacity, | 4.0 kW | [51] |
| Property | R134a | R1234yf | R1234ze(E) | R1243zf | R516A | R444A | R445A |
|---|---|---|---|---|---|---|---|
| Composition | Pure | Pure | Pure | Pure | 77.5%-R1234yf 14%-R152a 8.5%-R134a | 83%-R1234ze(E) 12%-R32 5%-R152a | 85%-R1234ze(E) 9%-R134a 6%-R744 |
| GWP | 1430 | 1 | 1 | 1 | 142 | 92 | 130 |
| ASHRAE Safety class | A1 | A2L | A2L | A2L | A2L | A2L | A2L |
| Temperature glide, °C | 0 | 0 | 0 | 0 | 0 | 4.09 | 4.14 |
| Critical pressure, kPa | 4059.3 | 3382.2 | 3634.9 | 3517.9 | 3654.4 | 4472.8 | 4461.2 |
| Critical temperature, °C | 101.1 | 94.7 | 109.4 | 103.8 | 97.2 | 106.3 | 104.9 |
| Boiling point at 1 atm, °C | −26.1 | −29.5 | −19 | −25.4 | −29.4 | −51.7 | −21.5 |
| Molecular weight, kg kmol−1 | 102 | 114 | 114 | 96.1 | 102.6 | 96.7 | 103.1 |
| Saturation pressure, kPa | 292.8 | 315.8 | 216.5 | 269.5 | 318.7 | 390.9 | 551.4 |
| Liquid density, kg m−3 | 1294.8 | 1176.3 | 1240.1 | 1047.0 | 1147.9 | 1199.8 | 1232.3 |
| Vapor density, kg m−3 | 14.4 | 17.6 | 11.7 | 12.5 | 16.0 | 12.7 | 12.7 |
| Latent heat of vaporization, kJ kg−1 | 198.6 | 163.3 | 184.2 | 200.7 | 183.8 | 202.6 | 191.4 |
| Liquid thermal conductivity, mW m−1 K−1 | 92.0 | 71.5 | 83.1 | 78.8 | 78.8 | 92.9 | 88.2 |
| Vapor thermal conductivity, mW m−1 K−1 | 11.5 | 11.6 | 11.6 | 12.2 | 12.0 | 11.9 | 12.1 |
| Liquid viscosity, µPa.s | 266.5 | 204.7 | 262.6 | 209.2 | 207.8 | 227.7 | 242.3 |
| Vapor viscosity, µPa.s | 10.7 | 10.7 | 10.2 | 10.4 | 10.3 | 11.0 | 11.1 |
| All properties were considered at 0 °C as reference temperature using NIST REFPROP 10.0 software. | |||||||
| Operating Conditions | [66] | [67] | [68] | [21] | [49] | [69] |
|---|---|---|---|---|---|---|
| Evaporating temperature, °C | 3 | 0 | 7.5 | 5 | 5 | 0 |
| Condensing temperature, °C | 45 | 55 | 35 | 60 | 65 | 60 |
| Item | Description | Value |
|---|---|---|
| Interest rate, % | 10 | |
| Lifetime, year | 15 | |
| Annual operating time, h | 4000 | |
| Operation and maintenance cost factor, % | 1 |
| Equipment | Cost Function Equation | References |
|---|---|---|
| Compressor | [72] | |
| Condenser | [73,74] | |
| Evaporator | [73,74] | |
| IHX | [75] | |
| Ejector | [72] | |
| TEV | [76] |
| Component | Exergy Equations | Cost Equations |
|---|---|---|
| Compressor | ||
| Condenser | ||
| Evaporator | ||
| Thermostatic expansion valve | ||
| Short tube | ||
| IHX | ||
| Ejector |
![]() | |||||||
| BC | Exergy Destruction Percentage [%] | ||||||
| Component | R134a | R1234yf | R1234ze(E) | R1243zf | R516A | R444A | R445A |
| Compressor | 40.27 | 37.47 | 41.48 | 39.3 | 38.24 | 38.91 | 40.58 |
| Condenser | 14.28 | 11.49 | 12.63 | 13.18 | 12.64 | 18.69 | 22.47 |
| Evaporator | 11.98 | 10.75 | 11.81 | 12.04 | 11.38 | 11.39 | 8.3 |
| TEV | 33.47 | 40.28 | 34.08 | 35.49 | 37.75 | 31.01 | 28.66 |
| IHXC + TEV | Exergy Destruction Percentage [%] | ||||||
| Component | R134a | R1234yf | R1234ze(E) | R1243zf | R516A | R444A | R445A |
| Compressor | 38.23 | 37.06 | 40.07 | 37.97 | 37.14 | 36.75 | 38.31 |
| Condenser | 26.64 | 23.36 | 24.03 | 25.06 | 24.93 | 29.29 | 31.82 |
| Evaporator | 13.83 | 13.96 | 14.3 | 14.48 | 14.01 | 14.02 | 10.58 |
| TEV | 14.11 | 16.51 | 13.79 | 14.53 | 15.59 | 15.01 | 15.48 |
| IHX | 7.19 | 9.11 | 7.82 | 7.96 | 8.33 | 4.94 | 3.81 |
| IHXC + ST | Exergy Destruction Percentage [%] | ||||||
| Component | R134a | R1234yf | R1234ze(E) | R1243zf | R516A | R444A | R445A |
| Compressor | 38.97 | 37.86 | 40.83 | 38.7 | 37.92 | 37.26 | 38.74 |
| Condenser | 26.26 | 22.95 | 23.6 | 24.65 | 24.53 | 28.94 | 31.52 |
| Evaporator | 13.31 | 13.23 | 13.7 | 13.88 | 13.36 | 13.94 | 10.53 |
| ST | 12.95 | 15.12 | 12.55 | 13.29 | 14.3 | 14.03 | 14.7 |
| IHX | 8.52 | 10.85 | 9.31 | 9.48 | 9.9 | 5.84 | 4.51 |
| EC | Exergy Destruction Percentage [%] | ||||||
| Component | R134a | R1234yf | R1234ze(E) | R1243zf | R516A | R444A | R445A |
| Compressor | 42.72 | 39.66 | 43.72 | 41.82 | 40.65 | 36.67 | 35.25 |
| Condenser | 16.74 | 14.9 | 15.62 | 16.09 | 15.65 | 20.92 | 25.54 |
| Evaporator | 16.6 | 15.46 | 16.37 | 16.68 | 16.04 | 19.39 | 18.18 |
| Ejector | 23.48 | 29.23 | 23.84 | 24.9 | 27.02 | 22.59 | 20.61 |
| TEV | 0.47 | 0.75 | 0.45 | 0.52 | 0.64 | 0.43 | 0.41 |
| EC + IHX | Exergy Destruction Percentage [%] | ||||||
| Component | R134a | R1234yf | R1234ze(E) | R1243zf | R516A | R444A | R445A |
| Compressor | 37.59 | 36.11 | 39.15 | 37.29 | 36.36 | 33.08 | 32.53 |
| Condenser | 27.74 | 24.58 | 25.07 | 26.15 | 26.08 | 29.46 | 32.34 |
| Evaporator | 15.9 | 15.91 | 16.34 | 16.47 | 16.01 | 18.92 | 18.18 |
| Ejector | 8.92 | 10.98 | 8.9 | 9.33 | 10.19 | 12.17 | 12.1 |
| TEV | 0.41 | 0.66 | 0.39 | 0.45 | 0.56 | 0.41 | 0.44 |
| IHX | 9.44 | 11.76 | 10.14 | 10.31 | 10.8 | 5.96 | 4.41 |
| Parameter | Units | Value | References |
|---|---|---|---|
| Refrigerant charge, | kg | 0.6 | [13,79,80,81] |
| System lifetime, | years | 15 | [82,83] |
| Annual leakage rate, | kg year−1 | 0.05 | [84] |
| Refrigerant recovery factor, α | % | 7 | [85] |
| Indirect emission factor, , for: | kg CO2-eq kWh−1 | ||
| Mexico | - | 0.444 | [86] |
| Brazil | - | 0.21 | [87] |
| USA | - | 0.37 | [87] |
| China | - | 0.668 | [87] |
| Germany | 0.38 | [87] | |
| India | - | 0.798 | [87] |
| BC | VRC [kJ m−3] | COP | [kW] | [%] | [$ h−1] | [$ h−1] | TEWIMEXICO [tCO2-eq] | TEWICHINA [tCO2-eq] |
| Refrigerant | ||||||||
| R134a | 2367.61 | 3.4 | 0.608 | 48.33 | 0.127 | 0.195 | 16.56 | 24.46 |
| R1234yf | 2123.02 | 3.21 | 0.672 | 46.05 | 0.142 | 0.223 | 16.59 | 24.96 |
| R1234ze(E) | 1759.63 | 3.38 | 0.615 | 48.03 | 0.129 | 0.204 | 15.77 | 23.73 |
| R1243zf | 2014.8 | 3.41 | 0.604 | 48.47 | 0.127 | 0.196 | 15.6 | 23.48 |
| R516A | 2270.82 | 3.31 | 0.638 | 47.23 | 0.134 | 0.207 | 16.18 | 24.3 |
| R444A | 2132.71 | 2.7 | 0.889 | 39.95 | 0.17 | 0.239 | 19.78 | 29.74 |
| R445A | 1973.76 | 2.17 | 1.216 | 33.74 | 0.22 | 0.294 | 20.45 | 36.86 |
| (a) | ||||||||
| IHXC + TEV | VRC [kJ m−3] | COP | [kW] | [%] | [$ h−1] | [$ h−1] | TEWIMEXICO [tCO2-eq] | TEWICHINA [tCO2-eq] |
| Refrigerant | ||||||||
| R134a | 2433.88 | 3.45 | 0.582 | 49.77 | 0.144 | 0.219 | 16.33 | 24.11 |
| R1234yf | 2308.83 | 3.42 | 0.59 | 49.57 | 0.153 | 0.234 | 15.59 | 23.46 |
| R1234ze(E) | 1853.99 | 3.51 | 0.565 | 50.47 | 0.142 | 0.219 | 15.19 | 22.85 |
| R1243zf | 2110.31 | 3.53 | 0.588 | 50.75 | 0.141 | 0.215 | 15.09 | 22.71 |
| R516A | 2406.01 | 3.45 | 0.583 | 49.81 | 0.148 | 0.225 | 15.55 | 23.35 |
| R444A | 2208.94 | 2.76 | 0.851 | 41.3 | 0.197 | 0.272 | 19.37 | 29.12 |
| R445A | 2069.61 | 2.24 | 1.157 | 35.07 | 0.258 | 0.338 | 23.82 | 35.8 |
| (b) | ||||||||
| IHXC + ST | VRC [kJ m−3] | COP | [kW] | [%] | [$ h−1] | [$ h−1] | TEWIMEXICO [tCO2-eq] | TEWICHINA [tCO2-eq] |
| Refrigerant | ||||||||
| R134a | 2501.78 | 3.55 | 0.557 | 50.53 | 0.139 | 0.213 | 15.9 | 23.47 |
| R1234yf | 2388.42 | 3.54 | 0.56 | 50.44 | 0.145 | 0.225 | 15.06 | 22.66 |
| R1234ze(E) | 1906.89 | 3.61 | 0.541 | 51.19 | 0.136 | 0.213 | 14.76 | 22.21 |
| R1243zf | 2171.2 | 3.63 | 0.534 | 51.49 | 0.135 | 0.208 | 14.66 | 22.06 |
| R516A | 2482.13 | 3.56 | 0.555 | 50.63 | 0.141 | 0.217 | 15.07 | 22.62 |
| R444A | 2269.65 | 2.84 | 0.82 | 41.88 | 0.189 | 0.265 | 18.85 | 15.72 |
| R445A | 2127.69 | 2.31 | 1.117 | 35.54 | 0.248 | 0.328 | 23.16 | 34.8 |
| (c) | ||||||||
| EC | VRC [kJ m−3] | COP | [kW] | [%] | [$ h−1] | [$ h−1] | TEWIMEXICO [tCO2-eq] | TEWICHINA [tCO2-eq] |
| Refrigerant | ||||||||
| R134a | 4040.55 | 4.01 | 0.447 | 55.21 | 0.104 | 0.182 | 14.18 | 20.88 |
| R1234yf | 4023.4 | 3.84 | 0.479 | 53.92 | 0.115 | 0.218 | 13.86 | 20.85 |
| R1234ze(E) | 3060.24 | 3.98 | 0.453 | 54.97 | 0.106 | 0.196 | 13.4 | 20.16 |
| R1243zf | 3479.42 | 4.01 | 0.444 | 55.44 | 0.104 | 0.186 | 13.28 | 19.99 |
| R516A | 4099.63 | 3.92 | 0.462 | 54.67 | 0.109 | 0.196 | 13.68 | 20.53 |
| R444A | 4032.46 | 3.31 | 0.684 | 43.36 | 0.142 | 0.219 | 16.14 | 24.25 |
| R445A | 4360.68 | 2.81 | 0.919 | 35.44 | 0.182 | 0.268 | 19.04 | 28.6 |
| (d) | ||||||||
| EC + IHX | VRC [kJ m−3] | COP | [kW] | [%] | [$ h−1] | [$ h−1] | TEWIMEXICO [tCO2-eq] | TEWICHINA [tCO2-eq] |
| Refrigerant | ||||||||
| R134a | 3450.28 | 4.08 | 0.466 | 52.42 | 0.146 | 0.255 | 13.96 | 20.54 |
| R1234yf | 3404.56 | 4.11 | 0.466 | 52.12 | 0.156 | 0.273 | 12.96 | 19.5 |
| R1234ze(E) | 2636.88 | 4.15 | 0.453 | 52.93 | 0.145 | 0.257 | 12.83 | 19.31 |
| R1243zf | 2978.18 | 4.16 | 0.45 | 53.18 | 0.144 | 0.252 | 12.81 | 19.27 |
| R516A | 3476.59 | 4.11 | 0.464 | 52.35 | 0.151 | 0.262 | 13.05 | 19.59 |
| R444A | 3464.73 | 3.36 | 0.704 | 40.93 | 0.193 | 0.303 | 15.93 | 23.94 |
| R445A | 3750.94 | 2.87 | 0.929 | 33.34 | 0.233 | 0.349 | 18.65 | 28.02 |
| (e) | ||||||||
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Méndez-Méndez, D.; Ituna-Yudonago, J.F.; Ramírez-Minguela, J.J.; Belman-Flores, J.M.; Pérez-García, V. 4E Analysis of Alternative Configurations in Mobile Air Conditioning Used in Electromobility and Conventional Vehicles. Appl. Sci. 2026, 16, 3071. https://doi.org/10.3390/app16063071
Méndez-Méndez D, Ituna-Yudonago JF, Ramírez-Minguela JJ, Belman-Flores JM, Pérez-García V. 4E Analysis of Alternative Configurations in Mobile Air Conditioning Used in Electromobility and Conventional Vehicles. Applied Sciences. 2026; 16(6):3071. https://doi.org/10.3390/app16063071
Chicago/Turabian StyleMéndez-Méndez, D., J. F. Ituna-Yudonago, J. J. Ramírez-Minguela, J. M. Belman-Flores, and V. Pérez-García. 2026. "4E Analysis of Alternative Configurations in Mobile Air Conditioning Used in Electromobility and Conventional Vehicles" Applied Sciences 16, no. 6: 3071. https://doi.org/10.3390/app16063071
APA StyleMéndez-Méndez, D., Ituna-Yudonago, J. F., Ramírez-Minguela, J. J., Belman-Flores, J. M., & Pérez-García, V. (2026). 4E Analysis of Alternative Configurations in Mobile Air Conditioning Used in Electromobility and Conventional Vehicles. Applied Sciences, 16(6), 3071. https://doi.org/10.3390/app16063071


