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Improvement to Rankine cycle
                  MET 401
          POWER PLANT ENGINEERING




       DR. TAIB ISKANDAR MOHAMAD
HOW CAN WE INCREASE THE EFFICIENCY OF THE RANKINE
CYCLE?
The basic idea behind all the modifications to increase the thermal efficiency
of a power cycle is the same: Increase the average temperature at which heat is
transferred to the working fluid in the boiler, or decrease the average temperature at
which heat is rejected from the working fluid in the condenser.

Lowering the Condenser Pressure (Lowers Tlow,avg)
                                     To take advantage of the increased efficiencies at
                                     low pressures, the condensers of steam power
                                     plants usually operate well below the
                                     atmospheric pressure. There is a lower limit to
                                     this pressure depending on the temperature of
                                     the cooling medium
                                     Side effect: Lowering the condenser pressure
                                     increases the moisture content of the steam at
                                     the final stages of the turbine.
                                    The effect of lowering the
                                    condenser pressure on the ideal
                                    Rankine cycle.
                                                                                         2
Superheating the Steam to High Temperatures (Increases
Thigh,avg)
                                  Both the net work and heat input increase
                                  as a result of superheating the steam to a
                                  higher temperature. The overall effect is
                                  an increase in thermal efficiency since the
                                  average temperature at which heat is
                                  added increases.
                                  Superheating to higher temperatures
                                  decreases the moisture content of the
                                  steam at the turbine exit, which is
                                  desirable.
                                  The temperature is limited by
                                  metallurgical considerations. Presently the
The effect of superheating the    highest steam temperature allowed at the
steam to higher temperatures on   turbine inlet is about 620°C.
the ideal Rankine cycle.


                                                                            3
Increasing the Boiler Pressure (Increases Thigh,avg)
For a fixed turbine inlet temperature,     Today many modern steam power
the cycle shifts to the left and the       plants operate at supercritical
moisture content of steam at the           pressures (P > 22.06 MPa) and have
turbine exit increases. This side effect   thermal efficiencies of about 40% for
can be corrected by reheating the          fossil-fuel plants and 34% for nuclear
steam.                                     plants.




The effect of increasing the boiler
                                              A supercritical Rankine cycle.
pressure on the ideal Rankine cycle.                                                4
THE IDEAL REHEAT RANKINE CYCLE
How can we take advantage of the increased efficiencies at higher boiler pressures without
facing the problem of excessive moisture at the final stages of the turbine?
1. Superheat the steam to very high temperatures. It is limited metallurgically.
2. Expand the steam in the turbine in two stages, and reheat it in between (reheat)




  The ideal reheat Rankine cycle.




                                                                                       5
The single reheat in a modern power plant
improves the cycle efficiency by 4 to 5% by
increasing the average temperature at which
heat is transferred to the steam.
The average temperature during the reheat
process can be increased by increasing the
number of expansion and reheat stages. As
the number of stages is increased, the
expansion and reheat processes approach an
isothermal process at the maximum
temperature. The use of more than two
reheat stages is not practical. The theoretical
improvement in efficiency from the second
reheat is about half of that which results
from a single reheat.
The reheat temperatures are very close or         The average temperature at which
equal to the turbine inlet temperature.           heat is transferred during reheating
                                                  increases as the number of reheat
The optimum reheat pressure is about one-         stages is increased.
fourth of the maximum cycle pressure.



                                                                                         6
THE IDEAL REGENERATIVE RANKINE CYCLE
                                       Heat is transferred to the working fluid during
                                       process 2-2’ at a relatively low temperature.
                                       This lowers the average heat-addition
                                       temperature and thus the cycle efficiency.
                                       In steam power plants, steam is extracted
                                       from the turbine at various points. This steam,
                                       which could have produced more work by
                                       expanding further in the turbine, is used to
                                       heat the feedwater instead. The device where
                                       the feedwater is heated by regeneration is
                                       called a regenerator, or a feedwater heater
                                       (FWH).
                                       A feedwater heater is basically a heat
The first part of the heat-addition    exchanger where heat is transferred from the
process in the boiler takes place at   steam to the feedwater either by mixing the
relatively low temperatures.           two fluid streams (open feedwater heaters) or
                                       without mixing them (closed feedwater
                                       heaters).

                                                                                         7
Open Feedwater Heaters
An open (or direct-contact) feedwater
heater is basically a mixing chamber, where
the steam extracted from the turbine mixes
with the feedwater exiting the pump.
Ideally, the mixture leaves the heater as a
saturated liquid at the heater pressure.




  The ideal regenerative Rankine cycle with an open feedwater heater.
                                                                        8
Closed Feedwater Heaters
Another type of feedwater heater frequently used in steam power plants is
the closed feedwater heater, in which heat is transferred from the extracted
steam to the feedwater without any mixing taking place. The two streams now can
be at different pressures, since they do not mix.




The ideal regenerative Rankine cycle with a closed feedwater heater.
                                                                                  9
The closed feedwater heaters are more complex because of the internal tubing network, and
thus they are more expensive. Heat transfer in closed feedwater heaters is less effective
since the two streams are not allowed to be in direct contact. However, closed feedwater
heaters do not require a separate pump for each heater since the extracted steam and the
feedwater can be at different pressures.

                                                                     Open feedwater
        A steam power plant with one open                            heaters are simple
        and three closed feedwater heaters.                          and inexpensive and
                                                                     have good heat
                                                                     transfer
                                                                     characteristics. For
                                                                     each heater,
                                                                     however, a pump is
                                                                     required to handle
                                                                     the feedwater.

                                                                     Most steam power
                                                                     plants use a
                                                                     combination of open
                                                                     and closed
                                                                     feedwater heaters.


                                                                                       10
Example (regenerative cycle)
Consider a steam power plant operating on the
ideal regenerative Rankine cycle with one open
feedwater heater. Steam enters the turbine at 15
MPa and 600°C and is condensed in the condenser
at a pressure of 10 kPa. Some steam leaves the
turbine at a pressure of 1.2 MPa and enters the
open feedwater heater. Determine the fraction of
steam extracted from the turbine and the thermal
efficiency of the cycle.


                                                   11

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MET 401 Chapter 2 improvement_to_rankine_cycle

  • 1. Improvement to Rankine cycle MET 401 POWER PLANT ENGINEERING DR. TAIB ISKANDAR MOHAMAD
  • 2. HOW CAN WE INCREASE THE EFFICIENCY OF THE RANKINE CYCLE? The basic idea behind all the modifications to increase the thermal efficiency of a power cycle is the same: Increase the average temperature at which heat is transferred to the working fluid in the boiler, or decrease the average temperature at which heat is rejected from the working fluid in the condenser. Lowering the Condenser Pressure (Lowers Tlow,avg) To take advantage of the increased efficiencies at low pressures, the condensers of steam power plants usually operate well below the atmospheric pressure. There is a lower limit to this pressure depending on the temperature of the cooling medium Side effect: Lowering the condenser pressure increases the moisture content of the steam at the final stages of the turbine. The effect of lowering the condenser pressure on the ideal Rankine cycle. 2
  • 3. Superheating the Steam to High Temperatures (Increases Thigh,avg) Both the net work and heat input increase as a result of superheating the steam to a higher temperature. The overall effect is an increase in thermal efficiency since the average temperature at which heat is added increases. Superheating to higher temperatures decreases the moisture content of the steam at the turbine exit, which is desirable. The temperature is limited by metallurgical considerations. Presently the The effect of superheating the highest steam temperature allowed at the steam to higher temperatures on turbine inlet is about 620°C. the ideal Rankine cycle. 3
  • 4. Increasing the Boiler Pressure (Increases Thigh,avg) For a fixed turbine inlet temperature, Today many modern steam power the cycle shifts to the left and the plants operate at supercritical moisture content of steam at the pressures (P > 22.06 MPa) and have turbine exit increases. This side effect thermal efficiencies of about 40% for can be corrected by reheating the fossil-fuel plants and 34% for nuclear steam. plants. The effect of increasing the boiler A supercritical Rankine cycle. pressure on the ideal Rankine cycle. 4
  • 5. THE IDEAL REHEAT RANKINE CYCLE How can we take advantage of the increased efficiencies at higher boiler pressures without facing the problem of excessive moisture at the final stages of the turbine? 1. Superheat the steam to very high temperatures. It is limited metallurgically. 2. Expand the steam in the turbine in two stages, and reheat it in between (reheat) The ideal reheat Rankine cycle. 5
  • 6. The single reheat in a modern power plant improves the cycle efficiency by 4 to 5% by increasing the average temperature at which heat is transferred to the steam. The average temperature during the reheat process can be increased by increasing the number of expansion and reheat stages. As the number of stages is increased, the expansion and reheat processes approach an isothermal process at the maximum temperature. The use of more than two reheat stages is not practical. The theoretical improvement in efficiency from the second reheat is about half of that which results from a single reheat. The reheat temperatures are very close or The average temperature at which equal to the turbine inlet temperature. heat is transferred during reheating increases as the number of reheat The optimum reheat pressure is about one- stages is increased. fourth of the maximum cycle pressure. 6
  • 7. THE IDEAL REGENERATIVE RANKINE CYCLE Heat is transferred to the working fluid during process 2-2’ at a relatively low temperature. This lowers the average heat-addition temperature and thus the cycle efficiency. In steam power plants, steam is extracted from the turbine at various points. This steam, which could have produced more work by expanding further in the turbine, is used to heat the feedwater instead. The device where the feedwater is heated by regeneration is called a regenerator, or a feedwater heater (FWH). A feedwater heater is basically a heat The first part of the heat-addition exchanger where heat is transferred from the process in the boiler takes place at steam to the feedwater either by mixing the relatively low temperatures. two fluid streams (open feedwater heaters) or without mixing them (closed feedwater heaters). 7
  • 8. Open Feedwater Heaters An open (or direct-contact) feedwater heater is basically a mixing chamber, where the steam extracted from the turbine mixes with the feedwater exiting the pump. Ideally, the mixture leaves the heater as a saturated liquid at the heater pressure. The ideal regenerative Rankine cycle with an open feedwater heater. 8
  • 9. Closed Feedwater Heaters Another type of feedwater heater frequently used in steam power plants is the closed feedwater heater, in which heat is transferred from the extracted steam to the feedwater without any mixing taking place. The two streams now can be at different pressures, since they do not mix. The ideal regenerative Rankine cycle with a closed feedwater heater. 9
  • 10. The closed feedwater heaters are more complex because of the internal tubing network, and thus they are more expensive. Heat transfer in closed feedwater heaters is less effective since the two streams are not allowed to be in direct contact. However, closed feedwater heaters do not require a separate pump for each heater since the extracted steam and the feedwater can be at different pressures. Open feedwater A steam power plant with one open heaters are simple and three closed feedwater heaters. and inexpensive and have good heat transfer characteristics. For each heater, however, a pump is required to handle the feedwater. Most steam power plants use a combination of open and closed feedwater heaters. 10
  • 11. Example (regenerative cycle) Consider a steam power plant operating on the ideal regenerative Rankine cycle with one open feedwater heater. Steam enters the turbine at 15 MPa and 600°C and is condensed in the condenser at a pressure of 10 kPa. Some steam leaves the turbine at a pressure of 1.2 MPa and enters the open feedwater heater. Determine the fraction of steam extracted from the turbine and the thermal efficiency of the cycle. 11