Évaluation des modèles de débit massique pour un détendeur thermostatique en boîte grise

Translated title of the contribution: Evaluation of gray box thermostatic expansion valve mass flow models

Alireza Behfar, David Yuill

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Thermostatic expansion valves (TXVs) are widely used in air-conditioning and commercial refrigeration systems. Accurate predictions of the refrigerant mass flow rate across a refrigeration cycle are desired in many engineering processes and applications such as a computer simulation model, for control purposes, or for fault detection and diagnostics (FDD). Several researchers have developed mass flow models for TXVs. This paper reviews and analyzes four gray-box TXV mass flow models in the literature and evaluates and compares their performance. Three of the models were developed for air-conditioners, but in the current work their applicability to refrigeration system modeling is assessed, with the use of normal and faulted laboratory data from a commercial walk-in cooler and a freezer. Model regression parameters are calculated during the training process with the use of parameter estimation techniques and a training dataset. The models are then used to predict the mass flow rates for several validation data points. Each of the models is found to perform well for the majority of the data points for the freezer, typically with errors below 10%, but application of the models to the cooler's dataset resulted in relatively large errors. The source of the model deviations includes the difficulty associated with the calculation of the TXV diaphragm force and the thermodynamic states of a two-phase refrigerant at the inlet of the valve. The presence of a liquid line receiver, which are common in refrigeration equipment, appears to cause some model deviation.

Translated title of the contributionEvaluation of gray box thermostatic expansion valve mass flow models
Original languageFrench
Pages (from-to)161-168
Number of pages8
JournalInternational Journal of Refrigeration
StatePublished - Dec 2018


  • Gray-box
  • Mass flow rate
  • Regression parameters
  • TXV models

ASJC Scopus subject areas

  • Building and Construction
  • Mechanical Engineering


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