Vapour quality determination for heat pumps using two-phase suctionDétermination de la qualité de la vapeur pour les pompes à chaleur utilisant l'aspiration diphasique

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Abstract

For residential heat pumps, R32 becomes one of the most widely used refrigerant, thanks to an environmental impact much lower than R410A. However, with a classic suction superheat control, R32 induces higher discharge temperatures. Two-phase suction is thus generally allowed in rotary compressors to lower the discharge temperature. In theory, this process can also improve the heat pump performances. However, using two-phase suction for real-time performance optimization implies to identify and control the suction vapour quality. In this study, an iterative method using the compressor energy balance and the compressor efficiencies is presented to determine the suction vapour quality and refrigerant mass flow rate without using a flowmeter. An R32 air-to-air heat pump is then experimentally tested. The reference values are indirectly measured through the mass flow rate measurement and the compressor energy balance. A correlation is thus presented, giving the vapour quality from the operating parameters. If the volumetric or global compressor efficiencies are known, the proposed iterative method allows to calculate the vapour quality with a 0.4 % accuracy. Moreover, this method gives the refrigerant mass flow rate and heating capacity with a 1 % accuracy. The sensitivity of the method is evaluated considering a 10 % error on the volumetric or global efficiency values. In this case, the suction vapour quality values are kept within 2.5 % of the reference measurement. In addition of allowing a precise control of two-phase suction, this method can also make the in-situ performance measurement of these heat pumps possible.

Introduction

Thanks to their high efficiency, heat pumps play a major role in greenhouse gas emission and energy consumption reduction in buildings in Europe. In order to reduce the impact of the refrigerant on climate change, the fluids with the highest global warming potentials (GWP) will progressively be phased out, as a consequence of the F-Gas regulation (EU) No 2014/517 (EU 2014). Therefore, in particular for residential heat pumps, R410A is being replaced with R32, which has a 3-time lower GWP.

R32 can operate under the same temperature conditions than R410A without any major change in the thermodynamic cycle structure and can also improve the heat pump performances. (Xu et al., 2013) experimentally demonstrated that the COP improvement using R32 instead of R410A on the same single-stage heat pump was between 2 and 9 %. However, controlling the expansion valve on suction superheat in the same way would lead to much higher discharge temperatures that could damage the compressor. (Xu et al., 2013) showed that the discharge temperature using R32 was significantly higher than when using R410A in every operating condition, up to + 34°C for an outdoor temperature of - 18°C.

Thus, several patents were published with new control strategies. Using liquid injection cycles would allow to reduce the discharge temperature, but it would increase the manufacturing cost of the heat pump. Taira et al. (2003) recommended a method using the electronic expansion valve (EEV) to control directly the discharge temperature, and Yamada (2017) suggested to use the EEV to control the discharge superheat value, depending on the compressor frequency and the compression ratio. For both solutions, it leads to two-phase fluid at the compressor suction port in most operating conditions, which reduces significantly the discharge temperature. Taira et al. (2003) states that this wet compression cannot harm rotary-type compressors (rolling piston) as long as the suction vapour quality is higher than 0.75. Nowadays, two-phase suction is widely used in order to lower the discharge temperature in R32 air conditioners and heat pumps using a rotary compressor.

The effects of wet compression on the heat pump performances have been studied, but the effect of the discharge temperature control of heat pumps using two-phase suction on vapour quality is unknown. For example, Seong et al. (2017) showed that this process can improve the heat pump performances by lowering the compression ratio and increasing the isentropic efficiency. However, for that purpose, the suction vapour quality should be controlled to an optimal value depending on the operating conditions. In order to optimise the performances of heat pumps using two-phase suction, the real-time estimation of the suction vapour quality on an operating heat pump is necessary. (Huang et al., 2019) presented a method based on Quasi Saturation Isentropic Compression in order to control the discharge temperature. With this method, the refrigerant can also be diphasic at the compressor suction, so the suction vapour quality was estimated using a fixed compressor global efficiency value. This method allows to compare the suction quality values on the same compressor under different operating conditions, but as the method precision is not established by the authors, it is not known if it is accurate enough for wet compression optimisation. (Endoh, 2015) presented a method to determine the suction vapour quality from the mass flow rate measurement and the compressor energy balance. It gives very good results, with a 0.5 % accuracy. However, using a mass flow meter on an operating heat pump is not always possible and can be expensive, so this method is not adapted for a real-time in-situ optimisation purpose.

When the fluid is in two-phase state at the compressor suction port, making the hypothesis that it is saturated leads the compressor energy balance to highly overestimate the mass flow rate. On the contrary, making this assumption to calculate the mass flow rate using the volumetric efficiency or the global efficiency gives underestimated results. The real mass flow rate value can thus be bounded using the compressor energy balance and the volumetric or the global efficiency with a vapour quality of 1. This paper presents two similar methods using iterations on suction vapour quality to make these calculations converge, allowing to obtain the suction vapour quality and the refrigerant mass flow rate without using a flow meter. An experimental study of an air-to-air heat pump using R32 in climatic chambers is then presented. The first objective is to measure the suction vapour quality from the mass flow rate measurement to obtain a correlation as a function of the operating conditions. The second one is to experimentally validate the iterative method, using the compressor energy balance and the volumetric or global efficiency of the compressor, and to compare the results with the reference measurement. The results and the main uncertainty factors of the method are discussed.

Section snippets

Compressor energy balance

For heat pumps with a controlled positive suction superheat value, a method has been previously developed to measure the mass flow rate and heating capacity on field using a light instrumentation. To avoid using a flowmeter, the refrigerant mass flow rate can be indirectly measured using only temperature and electrical power measurements. This method, developed by Tran (2012), relies on the compressor energy balance (equation 1).W˙comp=m˙(hcomp,outhcomp,in)+Q˙losses

The suction and discharge

In-situ vapour quality calculation method

When the fluid is in two-phase state at the compressor suction port, its vapour quality cannot be directly measured. Moreover, its evaluation through the void fraction measurement would not be accurate enough (Tran et al. 2012) and would need additional instrumentation. The compressor energy balance needs to be completed with another equation to be able to calculate the refrigerant mass flow rate and the suction vapour quality. The following paragraphs show how it can be done using the mass

Experimental set-up

A commercial 3.5 kW air-to-air heat pump has been instrumented and tested in order to study its two-phase suction control and the iterative methods presented before. The heat pump is composed of an inverter-driven rotary compressor, an electronic expansion valve, an evaporator and a condenser. The working fluid is R32. In order to reduce the compressor discharge temperature, two-phase fluid is allowed at the compressor suction port.

Experimental results

The iterative method presented in paragraph 3 is applied to the 60 steady-state phases set on the air-to-air heat pump, using the volumetric efficiency (Eq. 3) or the global efficiency (Eq. 5), and the compressor energy balance (Eq. 1). In every operating condition, it converges to a mass flow rate value and a suction vapour quality value. The relative error of the average estimated suction vapour quality can be calculated according to Eq. 17.εr=100*(xvxv,ref)xv,ref

Fig. 6 shows the estimated

Conclusion

A method has been presented in order to calculate the suction vapour quality and the refrigerant mass flow rate using the compressor volumetric or global efficiency and the compressor energy balance, for a heat pump using two-phase suction to reduce discharge temperature. An experimental study has been carried out to measure the suction vapour quality and to test the method on a recent air-to-air heat pump using R32.

First, a correlation giving the suction vapour quality in steady-state

Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Funding

This work was supported by EdF R&D, TREE department - Technologies & Research for Energy Efficiency.

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