The Rankine cycle is a thermodynamic cycle which converts heat into work. The heat is supplied externally to a closed loop, which usually uses water as the working fluid. This cycle generates about 80% of all electric power used throughout the world. including It is named after William John Rankine, a Scottish scientist.
A Rankine cycle describes a model of the operation of steam Turbine most
commonly found in Industrial Power Plants. Common heat sources for power plants
using the Rankine cycle are Coal, Natural Gas ot Liquid Fuels.
The Rankine cycle is sometimes referred to as a practical Carnot Cycles,
when an efficient turbine is used, the TS diagram will begin to resemble the
Carnot cycle. The main difference is that a pump is used to pressurize liquid
instead of gas. This requires about 100 times less energy than that compressing
a gas in a compressor. (as in the Carnot Cycle).
The efficiency of a Rankine cycle is usually limited by the working fluid.
Without the pressure going super critical the temperature range the cycle can
operate over is quite small, turbine entry temperatures are typically 565°C
(the creep limit of stainless steel) and condenser temperatures are around
30°C. This gives a theoretical Carnot efficiencyof around 63% compared with an
actual efficiency of 42% for a modern coal-fired power station.
The working fluid in a Rankine cycle follows a closed loop and is re-used
constantly. The water vaporoften seen billowing from power stations is
generated by the cooling systems (not from the closed loop Rankine power cycle)
and represents the waste heat that could not be converted to useful work. Note
that steam is invisible until it comes in contact with cool, saturated air, at
which point it condenses and forms the white billowy clouds seen leaving cooling
tower. While many substances could be used in the Rankine cycle, water is
usually the fluid of choice due to its favorable properties, such as nontoxic
and unreactive chemistry, abundance, and low cost, as well as its thermodynamic
properties.
One of the principal advantages it holds over other cycles is that during
the compression stage relatively little work is required to drive the pump, due
to the working fluid being in its liquid phase at this point. By condensing the
fluid to liquid, the work required by the pump will only consume approximately
1% to 3% of the turbine power and so give a much higher efficiency for a real
cycle.
Ts diagram of a typical Rankine cycle operating between
pressures of 0.06bar and 50bar
There are four processes in the Rankine cycle, each changing the state of
the working fluid. These states are identified by number in the diagram to the
right.
- Process 1-2:
The working fluid is pumped from low to high pressure, as the fluid is a
liquid at this stage the pump requires little input energy.
- Process 2-3:
The high pressure liquid enters a boiler where it is heated at constant
pressure by an external heat source to become a dry saturated vapor.
- Process 3-4:
The dry saturated vapor expands through a turbine, generating power. This
decreases the temperature and pressure of the vapor, and some condensation
may occur.
- Process 4-1:
The wet vapor then enters a condenser where it is condensed at a constant
pressure and temperature to become a saturated liquid. The pressure and
temperature of the condenser is fixed by the temperature of the cooling
coils as the fluid is undergoing a phase change.
In an ideal Rankine cycle the pump and turbine would be isentropic, i.e.,
the pump and turbine would generate no entropy and hence maximize the net work
output. Processes 1-2 and 3-4 would be represented by vertical lines on the Ts
diagram and more closely resemble that of the Carnot cycle. The Rankine cycle
shown here prevents the vapor ending up in the superheat region after the
expansion in the turbine, which reduces the energy removed by the condensers.
Real Rankine cycle (non-ideal)
Rankine cycle with superheat
In a real Rankine cycle, the compression by the pump and the expansion in
the turbine are not isentropic. In other words, these processes are
non-reversible and entropy is increased during the two processes. This somewhat
increases the power required by the pump and decreases the power generated by
the turbine.
In particular the efficiency of the steam turbine will be limited by water
droplet formation. As the water condenses, water droplets hit the turbine
blades at high speed causing pitting and erosion, gradually decreasing the life
of turbine blades and efficiency of the turbine. The easiest way to overcome
this problem is by superheating the steam. On the Ts diagram above, state 3 is
above a two phase region of steam and water so after expansion the steam will
be very wet. By superheating, state 3 will move to the right of the diagram and
hence produce a dryer steam after expansion.
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