Multi-objective optimization in a finite time thermodynamic method for dish-Stirling by branch and bound method and MOPSO algorithm

  • Mohammad Reza Nazemzadegan
  • Alibakhsh Kasaeian
  • Somayeh Toghyani
  • Mohammad Hossein Ahmadi
  • R. Saidur
  • Tingzhen Ming
Research Article


There are various analyses for a solar system with the dish-Stirling technology. One of those analyses is the finite time thermodynamic analysis by which the total power of the system can be obtained by calculating the process time. In this study, the convection and radiation heat transfer losses from collector surface, the conduction heat transfer between hot and cold cylinders, and cold side heat exchanger have been considered. During this investigation, four objective functions have been optimized simultaneously, including power, efficiency, entropy, and economic factors. In addition to the fourobjective optimization, three-objective, two-objective, and single-objective optimizations have been done on the dish- Stirling model. The algorithm of multi-objective particle swarm optimization (MOPSO) with post-expression of preferences is used for multi-objective optimizations while the branch and bound algorithm with pre-expression of preferences is used for single-objective and multi-objective optimizations. In the case of multi-objective optimizations with post-expression of preferences, Pareto optimal front are obtained, afterward by implementing the fuzzy, LINMAP, and TOPSIS decision making algorithms, the single optimum results can be achieved. The comparison of the results shows the benefits of MOPSO in optimizing dish Stirling finite time thermodynamic equations.


dish-Stirling finite time model branch and bound algorithm multi-objective particle swarm optimization (MOPSO) 


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Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Mohammad Reza Nazemzadegan
    • 1
  • Alibakhsh Kasaeian
    • 1
  • Somayeh Toghyani
    • 1
  • Mohammad Hossein Ahmadi
    • 2
  • R. Saidur
    • 3
    • 4
  • Tingzhen Ming
    • 5
  1. 1.Department of Renewable Energies, Faculty of New Science and TechnologiesUniversity of TehranTehranIran
  2. 2.Faculty of Mechanical Engineering and MechatronicShahrood University of TechnologyShahroodIran
  3. 3.Faculty of Science and TechnologySunway UniversityPetaling JayaMalaysia
  4. 4.Department of EngineeringLancaster UniversityLancasterUK
  5. 5.School of Civil Engineering and ArchitectureWuhan University of TechnologyWuhanChina

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