Reversely, the expansion work (W
exp) which is performed in the far-supercritical region is high; in stage 3 → 4, W
exp is approximately equal to 17 kJ/mol.
-
Figure 32 shows that the energy consumed by the reversible compression represents approximately 18% of that delivered by the expansion. In comparison, this percentage is about 42% (11/26) in a typical F-class gas turbine, as shown by
Figure 43. Moreover, this ratio is still lower in a supercritical steam cycle: around 4%.
Figure 43. Typical air Brayton cycle: (T–, P–) = (20 °C, 1 atm) − (T+, P+) = (1350 °C, 20 bar); reversible conditions: Wcompr/Wexp = 11/26 = 0.42.
Indeed,
we mus t
note that the density is the highest (and W
compr the lowest) in the liquid region, where
ρCO2 typically exceeds 800 kg/m
3. This allows for very efficient pumping stages, which represents an inherent efficiency merit of Rankine cycles: for example, the pumping stage A → B (
ρ ≈ 900 kg/m
3) consumes hardly 0.5 kJ/mol (
Figure 32).
Such favorable compression and expansion stages result in excellent cycle efficiencies.
3.1.2. Compactness of sCO2 Power Units
The second key advantage of sCO
2 cycles is the dramatic reduction in size of cycle components, which is again correlated to the high density of supercritical CO
2 [29,30][27][28].
Indeed, to control the level of turbulence of the fluid and minimize the resulting losses in static pressure and efficiency, the cross-section of a turbomachine is designed proportional to the volumetric flow of the fluid, i.e., inversely proportional to its density.
Although the sCO
2 machines have higher mass flow rates (for the reasons that will be set out in paragraph 4.2.1), their sizes are significantly smaller due to the fluid density effect.
Figure 54 presents a notional comparison between the diameters of a sCO
2 turbine and a steam turbine (“ST”) that deliver power output of the same order
[31][29]. A quantitative comparison will be proposed below (§ 5.1).
Figure 54.
Qualitative comparison between the size of a steam turbine and an sCO
It is worth noting that the rotation speed of the shaft also conditions the size: the higher the speed, the smaller the diameter.
3.1.3. Other Strengths Linked to Favorable Properties of the CO2 Molecule
SCO
2 cycles have other important merits linked to advantageous properties of the CO
2 molecule.
Firstly, unlike H
2O that has elevated critical properties (374 °C, 221 bar), the critical point of CO
2 is easily accessible (31.1 °C, 73.8 bars).
Additionally, compared to hydrocarbons used in Organic Rankine Cycles (ORC), CO
2 does not ignite or explode; its toxicity (risk of asphyxiation) occurs at a much higher concentration in the air and its GWP and ODP data are much lower: for example, the GWP of propane is 3 while that of CO
2 is 1 by definition
[32][30]. It boasts also a very high thermal resistance, which allows for a wide operation temperature range in power cycles, from for example 200 °C (including e.g., heat recovery cycles and geothermal applications
[33][31]) up to 1100 °C (including solar
[34][32] and nuclear
[35][33] applications). All these characteristics make CO
2 a versatile cycle fluid: while the usages of steam and air are limited respectively to Rankine and Brayton cycles, CO
2 can be used in both and, moreover, not only within power cycles but also within refrigeration ones.
Finally, the closed nature of these cycles results in rather clean circuits, apart from the need to stop wear particles by filtration. This contrasts with the complex and costly water treatment of steam cycles and the need of periodical cleanings of gas turbines due to the progressive fouling of their compressors by dust and salts from ambient air.
3.2. The Conceptual Drawbacks
3.2.1. Low Pressure Ratios Cause Low Specific Power Outputs
Although supercritical cycles operate at high pressures, they have low pressure ratios. Indeed, given that the pressure of a true supercritical cycle (Brayton) must exceed 73.8 bars in all stages, the pressure ratio (“Rc”) turns out to be rather limited. For example, if we reasonably limit the value of P+ to 250 bar and start compression at P– = 75 bar, then the Rc is barely 3.3, leading to low enthalpy drops and limited expansion works in the power turbine.
Low Rc values result in low turbine outputs.
WThe researche
rs can define the “specific power output” (SPO) of a power generation unit as its electrical output (W
el) divided by the mass flow rate (Q
m) of the fluid passing through the cycle, i.e., SPO = W
el/Q
m.
Table 1 compares, in their orders of magnitude, the SPOs of three usual cycles, namely: steam-Rankine; air Brayton and sCO
2 Brayton. The SPOs of the sCO
2 cycles turn out to be roughly 3 times (respectively 15 times) lower than that of an F-class gas turbine cycle (respectively of a steam cycle). Nevertheless, this does not prevent the reduction in equipment size mentioned above owing to the much greater density of supercritical CO
2.
Table 1.
Compared SPO data of typical steam-Rankine, air-Brayton and sCO
2
Brayton cycles.