Application of a semi-empirical modelling approach to a Two-Stage Rotary CO₂ compressor

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Abstract

2-stage Rotary CO₂ compressors are currently in use in refrigeration and heat pump applications, including occasionally including vapour injection. The need of correctly assessing the compressor’s efficiency by means of a computationally fast model arises for cycle performance prediction and optimization. In response, an innovation on an existing semi-empirical modelling approach has been introduced in this paper to describe 2-stage Rotary compressors. The model has been validated with experimental data of a CO₂ compressor available in open literature, giving maximum errors of around ±3% for mass flow and ±1.82% for power prediction. Calibration of a simplified 1-stage model is also performed to analyse to which extent it is necessary to complexify the model, and to identify key or neglectable modelling elements. It is found that doing this increases the error of the compressor performance prediction. Model analysis has been done to identify the inefficiencies introduced by each physical effect considered.

This article is a translation of the article by Vega J, Cuevas C, Dickes R, Lemort V. Application of a semi-empirical modelling approach to a Two-Stage Rotary CO2 compressor. In: Proceedings of the 9th IIR Conference on the Ammonia and CO2 Refrigeration Technologies. Ohrid: IIF/IIR, 2021.

DOI: 10.18462/iir.nh3-co2.2021.0027 Published with the permission of the copyright holder.

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About the authors

Javier Vega

University of Liège, Energy Systems Research Unit

Author for correspondence.
Email: jivega@uliege.be
Chile, Liège, 4000

Cristian Cuevas

University of Concepción, Mechanical Engineering Department

Email: crcuevas@udec.cl
ORCID iD: 0000-0002-7683-1199
Chile, Concepcion

Rémi Dickes

University of Liège, Energy Systems Research Unit

Email: jivega@uliege.be
Belgium, Liège, 4000

Vincent Lemort

University of Liège, Energy Systems Research Unit

Email: crcuevas@udec.cl
Belgium, Liège, 4000

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Supplementary files

Supplementary Files
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2. Fig. 1. Schematic of the proposed hermetic 2-stage rotary compressor model.

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3. Fig. 2. Experimental vs predicted delivered mass flow rate.

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4. Fig. 3. Experimental vs predicted electric compressor power.

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5. Fig. 4. Experimental vs predicted volumetric efficiency with the 2-stage and 1-stage models.

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6. Fig. 5. Experimental vs predicted isentropic efficiency with the 2-stage and 1-stage models.

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7. Fig. 6. Inefficiencies introduced by each physical effect in the 1-stage model (left) and 2-stage model (right).

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