Computational modeling and analysis of multiple steady states in vapor compression systems

Prashant G. Mehta, Bryan A. Eisenhower

Research output: Contribution to journalArticlepeer-review


In this paper, we present a well-posed two-point boundary value problem framework for computing, via continuation, the steady states of interconnected vapor compression systems. We illustrate the ease and utility of our approach by employing the path following software AUTO to compute steady solutions of an experimental air-to-water heat pump that uses CO2 as a refrigerant. We validate some of the computational solutions against the experimental data and carry out continuation and bifurcation analysis in external parameters of practical interest. The results of these computations show that multiple and qualitatively distinct distributed steady-state solutions can arise for the problem, and that our approach provides for a simpler alternative to the much harder problem of dynamic simulation.

Original languageEnglish (US)
Pages (from-to)132-140
Number of pages9
JournalJournal of Computational and Nonlinear Dynamics
Issue number2
StatePublished - Apr 2007


  • CO refrigerant
  • Continuation
  • Heat-exchanger modeling
  • Steady-state analysis

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering
  • Applied Mathematics


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