Abstract

Variable refrigerant flow (VRF) refrigeration systems use variable flow regulation technology to better match the system load. But the frequency of the compressor and the opening of the electronic expansion valve (EV) directly affect the system's stability and performance. To study cooperative control and stability of performance parameters (superheat, refrigeration capacity, and coefficient of performance (COP)), a small variable frequency rolling rotor refrigeration system of R32 was set up. Experimental research on the stability of the system performances was studied with the effect of superheat, then collaborative control of the fitting model was established. The test campaign was carried out on the R32 variable refrigerant flow refrigeration system with a cooling capacity of 5 kW, compressor frequencies from 40 Hz to 60 Hz, pressure ratio from 2.93 to 3.2, and expansion valve opening from 20% to 80%. Results showed that (1) with the increase of refrigerant mass flow, the system came into the unstable oscillation range of the minimal stable signal (MSS) line, and then the system performances (e.g., superheat) started to oscillate. So, the superheated vapor flow and mist flow alternated, which led to the change of the heat transfer mechanism. (2) There was one inflection point (minimum stable superheat point) for the refrigeration capacity at the certain superheat for the different compressor frequencies. When superheat was near the minimum stable point, it was the best choice to balance refrigeration capacity (or coefficient of performance) and the control difficulty. (3) When the compressor frequency was from 40 Hz to 60 Hz under constant pressure ratio, the increase of the compressor frequency had a more direct impact on the compressor power consumption compared with refrigeration capacity. Therefore, there was a negative correlation between the COP and compressor frequency. (4) When the expansion valve opening was between 28% and 32% and the compressor frequency was from 44.5 Hz to 46.5 Hz, it was more difficult to control superheat. The relationship between the compressor frequency and the EV opening could reduce the phenomenon of overshoot or hysteresis. And, the system could reach a stable state quickly with the method of the synchronous control.

References

1.
Choi
,
J. M.
, and
Kim
,
Y. C.
,
2003
, “
Capacity Modulation of an Inverter-Driven Multi-Air Conditioner Using Electronic Expansion Valves
,”
Energy
,
28
(
2
), pp.
141
155
.
2.
Zahn
,
W. R.
,
1964
, “
A Visual Study of Two-Phase Flow While Evaporating in Horizontal Tubes
,”
ASME J. Heat Transf.
,
86
(
3
), pp.
417
429
.
3.
Chen
,
Z. J.
, and
Jiang
,
W. Q.
,
1990
, “
Stability Analysis of Refrigeration of Evaporator and Thermo-Expansion Valve Control Loop
,”
J. Shanghai Jiaotong Univ.
,
24
(
2
), pp.
58
66
. https://link.cnki.net/doi/10.16183/j.cnki.jsjtu.1990.02.008
4.
Stoecker
,
W. F.
,
1966
, “
Stability of an Evaporator-Expansion Valve Control Loop
,”
ASHRAE Trans.
,
72
(
2
), pp.
IV3.1
IV3.8
. https://cir.nii.ac.jp/crid/1570009749531951872
5.
Beck
,
B. T.
, and
Wedekind
,
G. L.
,
1986
, “
On the Mean Period of Dryout Point Fluctuations
,”
ASME J. Heat Transfer
,
108
(
4
), pp.
988
990
.
6.
Abuaf
,
N.
,
Jones
,
O. C.
, and
Wu
,
B. J. C.
,
1983
, “
Critical Flashing Flows in Nozzles With Subcooled Inlet Conditions
,”
ASME J. Heat Transfer
,
105
(
2
), pp.
379
383
.
7.
Inoue
,
A.
,
Ichikawa
,
J.
, and
Bandeen
,
R. D.
,
1988
, “
Evaluation of Infinitely Variable Displacement Compressors with Thermal Expansion Valves in a Motor Vehicle air Conditioning System
,” SAE Technical Paper No. 880052, Sanden International (U.S.A.), Inc., Detroit, MI.
8.
Liang
,
N.
,
Shao
,
S. G.
,
Xu
,
H. B.
, and
Tian
,
C. Q.
,
2010
, “
Instability of Refrigeration System—A Review
,”
Energy Convers. Manage.
,
51
(
11
), pp.
2169
2178
.
9.
Huang
,
D.
,
Zhao
,
R. J.
,
Gong
,
Q. Q.
, and
Tang
,
X. Q.
,
2014
, “
Effects of Water Mal-Distribution on Thermostatic Expansion-Valve Stability and Its Controlled Two-Circuit Evaporator Performance
,”
Int. J. Refrig.
,
48
(
12
), pp.
38
47
.
10.
Mithraratne
,
P.
, and
Wijeysundera
,
N. E.
,
2002
, “
An Experimental and Numerical Study of Hunting in Thermostatic-Expansion-Valve Controlled Evaporators
,”
Int. J. Refrig.
,
25
(
7
), pp.
992
998
.
11.
Tao
,
H.
,
Tao
,
L. R.
,
Zheng
,
Z. G.
, and
Zhang
,
L. J.
,
2009
, “
Experimental on Instability of Refrigeration Cycle With Vapor/Liquid Two-Phase Flow Pattern Alternating
,”
J. Refrig.
,
30
(
2
), pp.
18
23
.
12.
Xia
,
Y.
,
Ding
,
Q.
,
Jing
,
N.
,
Jiang
,
A.
,
Zhang
,
X.
, and
Deng
,
S.
,
2021
, “
A Review on the Operational Instability of Vapor Compression System
,”
Int. J. Refrig.
,
122
(
2
), pp.
97
109
.
13.
Haida
,
M.
,
Palacz
,
M.
,
Bodys
,
J.
,
Smolka
,
J.
,
Gullo
,
P.
, and
Nowak
,
A. J.
,
2021
, “
An Experimental Investigation of Performance and Instabilities of the R744 Vapour Compression Rack Equipped With a Two-Phase Ejector Based on Short-Term, Long-Term and Unsteady Operations
,”
Appl. Therm. Eng.
,
185
(
4
), p.
116353
.
14.
Huelle
,
Z. R.
,
1972
, “
The MSS Line—A New Approach to Hunting Problem
,”
ASHRAE J.
,
10
(
2
), pp.
43
46
. https://www.researchgate.net/publication/285134463_The_Mss-line_-_A_new_approach_to_the_hunting_problem
15.
Chen
,
W.
,
Zhijiu
,
C.
,
Ruiqi
,
Z.
, and
Yezheng
,
W.
,
2002
, “
Experimental Investigation of a Minimum Stable Superheat Control System of an Evaporator
,”
Int. J. Refrig.
,
25
(
8
), pp.
1137
1142
.
16.
Franco
,
S. S.
,
Henríquez
,
J. R.
,
Ochoa
,
A. A. V.
,
da Costa
,
J. A. P.
, and
Ferraz
,
K. A.
,
2022
, “
Thermal Analysis and Development of PID Control for Electronic Expansion Device of Vapor Compression Refrigeration Systems
,”
Appl. Therm. Eng.
,
206
(
7
), p.
118130
.
17.
Wang
,
H. W.
, and
Touber
,
S.
,
1991
, “
Distributed and Non-Steady-State Modelling of an Air Cooler
,”
Int. J. Refrig.
,
14
(
2
), pp.
98
111
.
18.
Shang
,
Y. J.
,
Wu
,
A. G.
,
Fang
,
X.
, and
You
,
Y. W.
,
2016
, “
Dynamic Simulation of Electronic Expansion Valve Controlled Refrigeration System Under Different Heat Transfer Conditions
,”
Int. J. Refrig.
,
72
(
12
), pp.
41
52
.
19.
Zhou
,
X. X.
,
Wu
,
Y. Q.
,
Shao
,
Y.
, and
Chen
,
W.
,
2002
, “
Modeling and Research on the Characteristics of Double-Evaporator Air Conditioner With Inverter
,”
J. Shanghai Jiaotong Univ.
,
36
(
11
), pp.
1675
1679
. https://link.cnki.net/doi/10.16183/j.cnki.jsjtu.2002.11.033
20.
Wu
,
G. H.
, and
Wu
,
K. Q.
,
2003
, “
Theoretical Analysis and Experimental Research on Variable Frequency Compressor Air Conditioning System
,”
J. Eng. Thermophys.
,
24
(
6
), pp.
961
963
.
21.
Huang
,
L.
,
Tao
,
L.
,
Tang
,
C.
,
Chen
,
Y.
,
Zheng
,
Z.
,
Wang
,
G.
, and
Tao
,
H.
,
2019
, “
Experimental Research on Instability of Expansion Valve–Dry Evaporator Refrigeration System
,”
Appl. Therm. Eng.
,
162
(
17
), p.
114275
.
22.
Lemmon
,
E. W.
,
Huber
,
M. L.
, and
McLinden
,
M. O.
,
2010
,
NIST Reference Fluid Thermodynamic and Transport Properties-REFPROP
,
U.S. Department of Commerce Technology Administration
,
Gaithersburg, MD
, pp.
14
21
.
You do not currently have access to this content.