
WANG Wei et al. Thermodynamic Analysis of Supercritical Organic Fluid Brayton Cycles for Middle and Low… 153
Brayton cycle being close to the critical point, its cycle
characteristics are significantly different from traditional
air Brayton cycles. The closer to the critical point the
fluid state gets to, the more drastic the physical properties
of the fluid changes. In addition, regenerative heat can
reduce the original heat absorption of the cycle, so the
sCO2 Brayton cycle can have higher thermal efficiency.
Due to the pressure at the lowest point of the cycle must
be higher than the critical pressure of CO2, the pressure of
the entire cycle is very high. According to the articles of
the sCO2 Brayton cycle [15–22], the highest temperature
is about 400°C–700°C; the lowest temperature before
compression is about 32°C; the pre-compression pressure
is about 7.4 MPa–8 MPa, and the inlet pressure of the
turbine is about 14 MPa–30 MPa. During the regeneration
process, the isobaric specific heat capacity between the
high-pressure side and the low-pressure side differs by
several times. Improving the regeneration effect is vital
to ensuring high thermodynamic performance of the
cycle. Numerous cycle optimization studies are aimed at
this goal, such as re-compression, pre-compression,
intercooling, partial cooling, and split expansion [23–31].
For medium- and low-temperature thermal energy, the
regenerative effect of the sCO2 Brayton cycle will
decrease because of the significant difference in thermal
properties of CO2 on the high- and low-pressure sides.
Compared with CO2, many organic working fluids have
significantly lower critical pressures at nearly same
critical temperature (mostly between 3 MPa–4 MPa). If
supercritical organic fluid is used as the working fluid to
construct the Brayton cycle, the higher-pressure ratio
could be obtained under the same temperature ratio of the
cycle. Costante et al. [32, 33] analyzed the
thermodynamic performance of Brayton cycles with
different supercritical working fluids, and the results
proved the potential application of real gas Brayton
cycles. Moreover, many organic working fluids have
smaller changes in thermal properties near the critical
point compared with CO2. Supercritical Organic Fluid
Brayton Cycle (SOFBC) has considerable potential in the
field of medium and low temperature thermal energy.
This work discusses the feasibility and application
potential of SOFBC. Firstly, through literature review,
the physical and chemical properties of dozens of organic
fluids are collected and organized. Based on critical
parameters and decomposition temperatures, several
organic fluids are selected as working fluids for cycle
analysis. Secondly, Thermodynamic models of the
supercritical gas Brayton cycle based on simple
regeneration and ORCs have been established. Then, the
calculation results of SOFBC are compared with that of
the sCO2 Brayton cycle and ORCs at the same
temperature range. Finally, the influence of different
factors on thermodynamic performance of the SOFBC is
analyzed, including the pressure ratio, the temperature
ratio, the efficiencies of the compressor and the turbine,
pinch temperature, etc. This work could provide
theoretical basis and technical evidence for SOFBC in
practical applications.
2. Methodology
2.1 First principles of power cycles
Improving the thermal efficiency of actual cycles is
the main research objective of cycle optimization
analysis. There are many technical measures could
improve it, such as selection of working fluids,
increasing the inlet temperature or pressure of expanders,
reducing the exhaust pressure, regenerative, reheating,
split flow, re-compression and pre-compression, etc.
However, it is not easy to compare the effect of
optimization measures for different types of power cycles.
This work attempts to analyze how to improve the cycle
thermal efficiency based on mathematical logic. For any
power cycle, thermal efficiency ηth is the ratio of cycle
net work Wnet to heat absorption Qabs,and cycle net work
is the difference between expansion work We and
compression work Wc.
net abs th
net e c
th net abs th
abs abs
net abs th
(1) ,
(2) ,
(3) ,
WQ
WWW WQ
QQ WQ
(1)
As shown in Eq. (1), there are three typical cases for
variation in the thermal efficiency: (1) Both cycle net
work and heat absorption increase simultaneously, and
the thermal efficiency increases accordingly. It indicates
that the increase rate of cycle net work is faster than that
of heat absorption. Many technical measures could
achieve the objective, such as increasing the inlet
temperature or pressure of expanders, reducing the
exhaust pressure, and reheating, etc. (2) Both cycle net
work and heat absorption increase simultaneously, but
the thermal efficiency decreases accordingly. It indicates
that the increase rate of cycle net work is slower than that
of heat absorption. The reason for this situation is that the
deteriorating efficiency of compression and expansion
might lead to the decrease of the thermal efficiency. For
example, when the pressure ratio is higher than the
optimal pressure ratio, the thermal efficiency of Brayton
cycles will decrease. Certainly, the case should be
avoided. (3) Cycle net work increases and heat
absorption decreases simultaneously, and the thermal
efficiency increases accordingly. Various regenerative
cycles may achieve this effect.
In response to carbon neutrality, new requirements
have been proposed for the construction of thermal
power conversion systems. On the one hand, the
consumption of fossil fuels will gradually decrease. On
the other hand, the thermal power conversion system of
renewable energy and waste heat has temperature