11.4 Reheat cycle
As has
been already mentioned in Secs. 11.1 and 11.2, if very
wet steam flows through a turbine, the hydrodynamic conditions for the turbine
blades and nozzles deteriorate sharply, causing a reduction of the internal
relative efficiency of the turbine, ; this in turn leads to a
reduction of the effective (thermal) efficiency of the power plant as a whole.
For modern turbines the admissible dryness fraction of exhaust steam (at the
turbine exit) should be not less than x = 0.86 to 0.88.
As has already been
mentioned, one of the ways to reduce the wetness of exhaust steam at the
turbine exit is to superheat the steam in the boiler. Superheating leads to an
increase in the thermal efficiency of the cycle realized, and at the same
time, on the T-s diagram it shifts the point corresponding to the
conditions of exhaust steam to the right, into the region of greater dryness
fractions, as illustrated in Fig. 11.20a.
We have also found that
with the same superheat temperature the use of high pressures increases the
cycle areas ratio and, consequently, the thermal efficiency of the cycle, but
simultaneously a higher pressure diminishes the dryness fraction of the exhaust
steam and the internal relative efficiency of the turbine.
Fig. 11.20
One solution could be to
further increase the superheat temperature (the dotted line in Fig. 11.206). However, as was already mentioned, further temperature increases are
restricted by the properties of construction materials. The economic advantage
of this undertaking should also take into consideration increased investments
involved in building such a plant.
One way to reduce the final
wetness of exhaust steam is to reheat the steam. After the flow of steam,
performing work in the turbine, expands to some pressure p* > p2, it is extracted from the turbine and directed to flow into an additional
superheater, or reheater,
installed, for instance, in the boiler flue. In this reheater,
steam temperature rises to T*, and
then the steam flows back into the turbine, in which it expands to the pressure
p2. As
can be seen from the T-s diagram, shown in Fig. 11.20c, the final
wetness of steam diminishes.
The diagram of a power
plant with steam reheating is shown in Fig. 11.21, in
which the reheat superheater, or reheater,
is designated by RS. When reheating the steam, the turbine is a two-cylinder
unit, comprising a high-pressure turbine and a low-pressure turbine[1]
arranged on a common shaft along with a generator.
Figure 11.22 shows on a T-s diagram an internally reversible reheat cycle of
the steam power plant, practising superheating. It is clear that this cycle can be visualized as
consisting of two individual cycles, the conventional Rankine cycle (main) 5-4-6-1-2-3-5
and an additional cycle 2-7-8-9-2 (the
line 7-8 is an isobar p* = const). It can be assumed that the work done along the section 7-2 of the expansion adiabat in the main cycle is
spent to ensure adiabatic compression of the working medium on the section 2-7 of the additional cycle.
Fig. 11.21
Fig. 11.22
The expression for the
thermal efficiency of the reheat cycle can be presented in the following form:
(11.107)
If the thermal efficiency
of the additional cycle,
(11.108)
is greater than the thermal efficiency of the main cycle,
(11.109)
then the thermal efficiency of the reheat cycle, , will be greater than the thermal efficiency of a Rankine cycle without
reheating (i.e. greater than that of the main cycle):
In fact, if
, it means that the area ratio of the additional cycle is greater than
that of the main cycle and, consequently, the area ratio of the total reheat
cycle is larger than the area ratio of the main cycle.
Steam reheating, practised at one
time mainly to do away with the high wetness of steam in the last stages of
turbines, is now used to increase the thermal efficiency cycles.
Analyzing the T-s diagram,
we see that if steam is returned for reheating at a temperature not very low
and it is being reheated to a temperature close to T1, the
thermal efficiency of the additional cycle will be higher than the thermal
efficiency of the main cycle; in this case the area ratio of the additional cycle
will be far greater than that of the main cycle (Fig. 11.23).
Fig. 11.23
A cycle with steam
reheating to a temperature T* = T1 is shown on the i-s
diagram in Fig. 11.24.
Fig. 11.24
Modern steam power plants
are usually operated not only with single but with double steam reheating.
Steam reheating used in
steam power plants as a means for raising the thermal efficiency of the plant,
is similar to the two-stage heat addition in gas-turbine plants, considered in
Sec. 10.2.
[1] The
internal relative efficiency of the high-pressure cylinder of the turbine is
greater than that of the low-pressure cylinder.