Thermodynamic simulation of refrigeration systems

The task is about thermodynamic simulation of refrigeration systems operating with carbon dioxide.

The task is to develop a working thermodynamics model within matlab that determines the performance of the cycle for a given set of inputs.

So the model should be developed by writing a matlab script that goes through the calculation process (Mathematical model) and plots relevant graphs like hs diagrams…

The model should ask the user to input values and then generates the COP and relevant graphs.

Files uploaded:
Revision file: Revises relevant topics
PengRobinson_EoS: Usually fluids obey the ideal gas laws but for this it does not therefore we need a more complex equation of state that links the pressure, temperature, and density so what is given gives us those properties. (These must be used****)

For relevant reading please check which includes the relevant equations for getting the COP of a system operating on CO2 as well:
Chapter 10: Transitional CO2 refrigeration system in tropical region (Gupta, D.K., Dasgupta, M.S., 2015)

If all goes well and the code is impressive and as required, I would like to invite you to help with a full dissertation

Please ask if anything is unclear or needs further explanations
Thanks and good luck,

The General project info:
Project title:
Thermodynamic simulation of refrigeration systems operating with carbon dioxide

Project background and description:
Current commercial refrigeration systems and heat pumps operate with refrigerants that have a
negative impact on the environment or are costly. Using carbon dioxide within these systems
represents a promising option as it is a low-cost fluid with a low environmental impact compared to
refrigerants. However, there remains the need to identify optimal thermodynamic cycle conditions
and architectures that maximise the thermodynamic performance of these systems. This project will
focus on developing a thermodynamic model of these cycles in MATLAB that can be used to identify
the optimal cycle configurations that maximise thermodynamic performance.

Main background reading:

  1. Gupta, D.K., Dasgupta, M.S., 2015, Chapter 10: Transcritical CO2 refrigeration system in
    tropical region: Challenges and opportunities, In: Gaspar, P.D., Da Silva, P.D., 2015,
    Handbook of research on advances and applications in refrigeration systems and
    technologies, Engineering Science Reference, Hershey PA, USA.
  2. On page 381 under Brief literature survey section for the above reading it includes several references which are very useful and relevant to use when completing this task
    Other background reading:
  • Y. Gao and T. Gao, “Simulation study on the performance of direct expansion geothermal refrigeration system using carbon dioxide transcritical cycle,” Energy Procedia, vol. 158, no. 2018, pp. 5479–5487, 2019, doi: 10.1016/j.egypro.2019.01.598.
  • N. Hua et al., “Thermodynamic analysis and economic assessment of a carbon dioxide hydrate-based vapor compression refrigeration system using load shifting controls in summer,” Energy Convers. Manag., vol. 251, no. May 2021, p. 114901, 2022, doi: 10.1016/j.enconman.2021.114901.
  • T. K. S. Ritschel, J. Gaspar, and J. B. Jørgensen, “A Thermodynamic Library for Simulation and Optimization of Dynamic Processes,” IFAC-PapersOnLine, vol. 50, no. 1, pp. 3542–3547, 2017, doi: 10.1016/j.ifacol.2017.08.951.
  • P. Maina and Z. Huan, “A review of carbon dioxide as a refrigerant in refrigeration technology,” S. Afr. J. Sci., vol. 111, no. 9–10, pp. 1–10, 2015, doi: 10.17159/sajs.2015/20140258.
  • Y. Liu, Y. Sun, and D. Tang, “Analysis of a Co2 transcritical refrigeration cycle with a vortex tube expansion,” Sustain., vol. 11, no. 7, 2019, doi: 10.3390/su11072021.
    Desired outcome of the project:
    Desired Outcomes
  1. Demonstrate an understanding and awareness of the current state-of-the-art within
    thermodynamic refrigeration cycles through a critical literature review
  2. Develop a sound understanding of the thermodynamic analysis of advanced thermodynamic
    refrigeration cycles that are suitable for a range of future energy systems
  3. Development of a working thermodynamic model within MATLAB that determines the
    performance of the cycle for a given set of inputs
  4. Identification of an optimal cycle configuration for a pre-defined application

Sample Solution