Comparative investigation and multi objective design optimization of a cascaded vapor compression absorption refrigeration system operating with different refrigerants in the vapor compression cycle
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Abstract
This study aims to comparatively investigate the performance of a cascaded vapor compression absorption refrigeration system (CVCARS) operated with different refrigerants such as R1234yf, R134a, R717 and R290 in vapor compression cycle. Two design objectives are considered for performance evaluations. Total annual cost is the first design objective which includes investment and operational cost along with the social cost associated with carbon emissions. Exergy efficiency is the second considered objective which is related to thermodynamic issues. These problem objectives are individually and concurrently optimized by means of Artifical Cooperative Search metaheuristic algorithm and best results are compared for each cycle configuration. Single objective optimization results reveal that CVCARS working with R717 in vapor compression cycle has the lowest total annual cost whereas the maximum second law efficiency is obtained by the refrigeration system operated with R290 in vapor compression cycle. Following that, multi objective optimization is applied to acquire the Pareto optimal solutions which are nondominated to each other and no solution between them prevails over the other. Reputed decision making method TOPSIS is applied to choose the final best answer among the Pareto curve. It is seen that solution found by TOPSIS is skewed towards the minimum total annual cost and second law efficiency for each cycle configuration. Sensitivity analysis is then put into practice to observe the influences of variations of decision variables on design objectives as well as performance coefficients of the different cycles in the refrigeration system.
List of symbols
- A
Heat exchanger surface area (m2)
- ACS
Artificial Cooperative Search
- Celec
Electricity cost ($/kWh)
- Cenv
Environmental cost ($/year)
- Cfuel
Fuel cost ($/kWh)
- Cinv
Investment cost ($)
- Coper
Operational cost ($)
- Cp
Specific heat at constant pressure (kJ/kg.K)
- CT
Total annual cost ($/year)
- COP
Coefficient of performance
- CRF
Capital recovery factor
- CVCARS
Cascaded vapor compression absroption refrigeration system
- d
Tube diameter (m)
- dH
Hyrdaulic diameter of annulus (m)
- f
Friction factor
- g
Gravitational acceleration (m/s2)
- H
Total annual operation hours
- h
Entalphy (kj/kg), Convective heat transfer coefficient (W/m2K)
- hfg
Latent heat of vaporization (kj/kg)
- i
Interest rate
- k
Thermal conductivity (W/m.K)
- \( \dot{m} \)
Mass flow rate (kg/s)
- \( {\dot{m}}_{CO_2} \)
Amount of carbon dioxide emission (ton/year)
- N
Life time of the refrigeration system (N)
- Ntube
Number of tube in heat exchanger
- Npass
Number of shell pass in heat exchanger
- P
Pressure (Pa)
- Pr
Prandtl number
- \( \dot{Q},q \)
Heat transfer amount (kW)
- R
Fouling resistance (m2K/W)
- Re
Reynolds number
- s
Entropy (kJ/kg.K)
- T
Temperature (°C - K)
- Tsat
Saturation temperature (°C - K)
- Twall
Wall temperature (°C - K)
- ΔTLMTD
Logarithmic mean temperature difference
- U
Overall heat transfer coefficient (W/m2K)
- v
Working fluid velocity (m/s)
- VARS
Vapor Absorption Refrigeration System
- VCRS
Vapor Compression Refrigeration System
- \( \dot{W} \)
Compressor or pump work (kW)
- x
Mass concentration of absorbent in the solution
- Z
Capital cost ($)
Greek symbols
- Γ
Mass flow rate of working unit per wetted length (kg/ms)
- ε
Heat exchanger efficiency
- ηII
Second law efficiency
- ηm
Mechanical efficiency
- ηel
Electrical efficiency
- ηis
Isentropic efficiency
- \( {\theta}_{CO_2} \)
Emission conversion factor
- μ
Dynamic viscosity (Pa.s)
- v
Kinematic viscosity (m2/s),
- ρ
Density (kg/m3)
- ϕ
Maintenance cost factor
Subscripts
- abs
Absorber
- cascond
Cascade condenser
- comp
Compressor
- cond
Condenser
- eff
Effective
- evap
Evaporator
- gen
Generator
- in
Inlet condition
- l
Liquid
- out
Outlet condition
- overlap
Degree of overlap
- ref.
Refrigerant
- RHX
Regenerative heat exchanger
- sat
Saturation
- SHX
Solution heat exchanger
- sol,pump
Solution pump
- v
Vapor
Notes
Compliance with ethical Standarts
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Ethical approval
This article does not contain any studies with human participants or animals performed by any of the authors.
Informed consent
Informed consent was obtained from all individual participants included in the study.
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