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THERMAL POWER CYCLES


Compiled & presented by :

UTKARSH PRAKASH
Reliance Power-GET „2011
THERMAL POWER PLANT

                                              The basic energy cycle
A thermal power station is a power plant in involved in the plant is
                                              as follows :
which the prime mover is steam driven. Water
is heated, turns into steam and spins a steam
turbine which drives an electrical generator. After
it passes through the turbine, the steam is           Chemical Energy
condensed in a condenser and recycled to where
it was heated. The greatest variation in the design
of thermal power stations is due to the different     Mechanical Energy
fuel sources. Some thermal power plants also
deliver heat energy for industrial purposes, for
district heating, or for desalination of water as
well as delivering electrical power.                   Electrical Energy
EQUIPMENTS
POWER CYCLES
   CARNOT CYCLE
   RANKINE CYCLE
   DIESEL CYCLE
   OTTO CYCLE
   BRAYTON CYCLE
   STIRLING CYCLE
   COMBINED CYCLES
LAWS OF
THERMODYNAMICS
   The zeroth law of thermodynamics recognizes that if two systems
    are in thermal equilibrium with a third, they are also in thermal
    equilibrium with each other, thus supporting the notions of
    temperature and heat.
   The first law of thermodynamics distinguishes between two kinds
    of physical process, namely energy transfer as work, and energy
    transfer as heat. The internal energy obeys the principle of
    conservation of energy but work and heat are not defined as
    separately conserved quantities.        ∆Q= ∆U + p.dv
    Equivalently, the first law of thermodynamics states that perpetual
    motion machines of the first kind are impossible.
   The second law of thermodynamics distinguishes between
    reversible and irreversible physical processes. It says that the full
    conversion of heat to the equivalent amount of work is not possible.
    Equivalently, perpetual motion machines of the second kind are
    impossible.
   The third law of thermodynamics concerns the entropy of a
    perfect crystal at absolute zero temperature, and implies that it is
    impossible to cool a system to exactly absolute zero.
THERMODYNAMIC
PROCESSES
   Isobaric processes.
   Isothermal Processes.
   Adiabatic processes.
   Isentropic Processes.
   Isochoric processes.
   Throttling.
CARNOT CYCLE
The Carnot cycle can be thought of as the most efficient heat engine cycle allowed by
physical laws. The most efficient heat engine cycle is the Carnot cycle, consisting of
two isothermal processes and two adiabatic processes. When the second law of
thermodynamics states that not all the supplied heat in a heat engine can be used to
do work, the Carnot efficiency sets the limiting value on the fraction of the heat which
can be so used.
  In order to approach the
  Carnot efficiency, the                                         1-2 isothermal heat
  processes involved in the                                      addition in a boiler
  heat engine cycle must be                                      2-3 isentropic expansion
  reversible and involve no                                      in a turbine
  change in entropy. This                                        3-4 isothermal heat
  means that the Carnot                                          rejection in a condenser
  cycle is an idealization                                       4-1 isentropic
                                                                 compression in a
                                                                 compressor

                             T-s diagram of Carnot vapor cycles.          7
CARNOT CYCLE EFFICIENCY

If W= net work output of the system in Carnot cycle, and as the system is carried out
through a cycle then there is no change in the internal energy of the
system, therefore QH – Qc = W

                           QH= TH (S2- S1)

The efficiency η is defined to be: (Work output)/(Heat input)
                             η= W/QH = (QH-Qc)/QH

                  also,
Where,
W is the work done by the system (energy exiting the system as work),
QH is the heat put into the system (heat energy entering the system),
TC is the absolute temperature of the cold reservoir,
and TH is the absolute temperature of the hot reservoir.
CARNOT CYCLE FEASIBILTY

   Carnot's theorem: No engine operating between two heat reservoirs can be more
    efficient than a Carnot engine operating between those same reservoirs.

   The Carnot cycle is the most efficient cycle operating between two specified
    temperature limits but it is not a suitable model for power cycles. Because:
   Process 1-2 Limiting the heat transfer processes to two-phase systems severely
    limits the maximum temperature that can be used in the cycle (374 C for water)

    Process 2-3 The turbine cannot handle steam
    with a high moisture content because of the
    impingement of liquid droplets on the turbine
    blades causing erosion and wear.


    Process 4-1 It is not practical to design a
    compressor that handles two phases.
RANKINE TERMINOLOGY
   The Rankine cycle most closely describes the process by which steam-
    operated heat engines most commonly found in power generation plants to
    generate power.
RANKINE CURVE
                                                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 4-1: The wet vapor then
Process 3-4: The dry saturated vapor
                                               enters a condenser where it is
expands through a turbine, generating power.
                                               condensed at a constant
This decreases the temperature and pressure
                                               temperature to become a saturated
of the vapor
                                               liquid.
Thermal Efficiency of Rankine
Cycle:
   Heat Input = Q23 = H3 – H2
   Heat Rejected = Q41 = H4 – H1
   Work Output = W34 = H3 – H4
   Work done by Pump = W12 = H2 – H1
                 Work output – Pump work               W34 – W12
             η=                        =
                         Heat Input                      Q23



    “the rankine cycle has a lower efficiency compared to corresponding
     Carnot cycle 2‟-3-4-1‟ with the same maximum and minimum
     temperatures.”
Reasons for Considering Rankine Cycle as an Ideal Cycle For Steam
Power Plants:

1) It is very difficult to build a pump that will handle a mixture of liquid and vapor
at state 1’ (refer T-s diagram) and deliver saturated liquid at state 2’. It is
much easier to completely condense the vapor and handle only liquid in the
pump.

2) In the rankine cycle, the vapor may be superheated at constant pressure from
3 to 3” without difficulty. In a Carnot cycle using superheated steam, the
superheating will have to be done at constant temperature along path 3-5.
During this process, the pressure has to be dropped. This means that heat is
transferred to the vapor as it undergoes expansion doing work. This is difficult
to achieve in practice.
Second law analysis of Rankine cycle

   The Rankine cycle is not a totally reversible cycle, it is only internally
    reversible, since heat transfer through a finite temperature difference
    (between the furnace and the boiler or between the condenser and the
    external medium) can results in irreversibilities.


   The second law of thermodynamics can be used in order to reveal the
    regions where the largest irreversibilities within Rankine cycle occur.


   It will be possible, therefore, to act on these regions to reduce the
    irreversibilities.


   To do this we must compute the exergy destruction for each component of
    the cycle.
MEAN TEMPERATURE
METHOD
                                       In rankine cycle heat is added at a
                                       constant pressure but at infinite
                                       temperatures
                                       If TM1 is the mean temperature of
                                       the heat addition as shown in the
       6            Tm1                figure so that the area under the
                                 7     curve 2 to 3” is equal to the area
                                       under 6 and 7 then the heat added
                     T2
                                       is
                                                 Q23” = Tm1 (S3”- S2)
                                               Tm1 = (H3”- H2)/(S3” – S2)
                                       Heat rejected, Q4”1 = H4” – H1
                                                           = T2 (S4” – S1)
“The higher the mean temperature
of heat addition, higher will be the            η = 1 – Q23”/Q4”1
Rankine cycle efficiency.”
                                                 η = [1 – Tm1/T2]
DEVIATION OF ACTUAL VAPOUR
  POWER CYCLES FROM IDEALIZED
  CYCLE
The actual vapor power cycle differs from the ideal Rankine cycle as a
result of irreversibilities in various components.
Fluid friction and heat loss to the surroundings are the two common
sources of irreversibilities.
                                                              Isentropic efficiencies




(a) Deviation of actual vapor power cycle from the ideal Rankine cycle.
(b) The effect of pump and turbine irreversibilities on the ideal Rankine cycle.
HOW TO IMPROVE
    EFFICIENCY
  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.18
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.
                                 Constraint: The temperature is limited by
The effect of superheating the   metallurgical considerations. Presently the
steam to higher temperatures     highest steam temperature allowed at the
on the ideal Rankine cycle.      turbine inlet is about 620 C.

                                                                  19
Increasing the Boiler Pressure (Increases Thigh,avg)
                                           Today many modern steam power
                                           plants operate at supercritical
                                           pressures (P > 22.06 MPa) and
    For a fixed turbine inlet              have thermal efficiencies of about
    temperature, the cycle shifts to the   40% for fossil-fuel plants and 34%
    left and the moisture content of       for nuclear plants.
    steam at the turbine exit increases.
    This side effect can be corrected by
    reheating the steam.




The effect of increasing the boiler
                                              A supercritical Rankine cycle.
pressure on the ideal Rankine cycle.                               20
THE IDEAL REHEAT 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.




                                                                     21
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 average temperature at
                                                  which heat is transferred during
The reheat temperatures are very close or
                                                  reheating increases as the
equal to the turbine inlet temperature.
                                                  number of reheat stages is
The optimum reheat pressure is about one-         increased.
The End

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thermodynamics of power plant

  • 1. THERMAL POWER CYCLES Compiled & presented by : UTKARSH PRAKASH Reliance Power-GET „2011
  • 2. THERMAL POWER PLANT The basic energy cycle A thermal power station is a power plant in involved in the plant is as follows : which the prime mover is steam driven. Water is heated, turns into steam and spins a steam turbine which drives an electrical generator. After it passes through the turbine, the steam is Chemical Energy condensed in a condenser and recycled to where it was heated. The greatest variation in the design of thermal power stations is due to the different Mechanical Energy fuel sources. Some thermal power plants also deliver heat energy for industrial purposes, for district heating, or for desalination of water as well as delivering electrical power. Electrical Energy
  • 4. POWER CYCLES  CARNOT CYCLE  RANKINE CYCLE  DIESEL CYCLE  OTTO CYCLE  BRAYTON CYCLE  STIRLING CYCLE  COMBINED CYCLES
  • 5. LAWS OF THERMODYNAMICS  The zeroth law of thermodynamics recognizes that if two systems are in thermal equilibrium with a third, they are also in thermal equilibrium with each other, thus supporting the notions of temperature and heat.  The first law of thermodynamics distinguishes between two kinds of physical process, namely energy transfer as work, and energy transfer as heat. The internal energy obeys the principle of conservation of energy but work and heat are not defined as separately conserved quantities. ∆Q= ∆U + p.dv Equivalently, the first law of thermodynamics states that perpetual motion machines of the first kind are impossible.  The second law of thermodynamics distinguishes between reversible and irreversible physical processes. It says that the full conversion of heat to the equivalent amount of work is not possible. Equivalently, perpetual motion machines of the second kind are impossible.  The third law of thermodynamics concerns the entropy of a perfect crystal at absolute zero temperature, and implies that it is impossible to cool a system to exactly absolute zero.
  • 6. THERMODYNAMIC PROCESSES  Isobaric processes.  Isothermal Processes.  Adiabatic processes.  Isentropic Processes.  Isochoric processes.  Throttling.
  • 7. CARNOT CYCLE The Carnot cycle can be thought of as the most efficient heat engine cycle allowed by physical laws. The most efficient heat engine cycle is the Carnot cycle, consisting of two isothermal processes and two adiabatic processes. When the second law of thermodynamics states that not all the supplied heat in a heat engine can be used to do work, the Carnot efficiency sets the limiting value on the fraction of the heat which can be so used. In order to approach the Carnot efficiency, the 1-2 isothermal heat processes involved in the addition in a boiler heat engine cycle must be 2-3 isentropic expansion reversible and involve no in a turbine change in entropy. This 3-4 isothermal heat means that the Carnot rejection in a condenser cycle is an idealization 4-1 isentropic compression in a compressor T-s diagram of Carnot vapor cycles. 7
  • 8. CARNOT CYCLE EFFICIENCY If W= net work output of the system in Carnot cycle, and as the system is carried out through a cycle then there is no change in the internal energy of the system, therefore QH – Qc = W QH= TH (S2- S1) The efficiency η is defined to be: (Work output)/(Heat input) η= W/QH = (QH-Qc)/QH also, Where, W is the work done by the system (energy exiting the system as work), QH is the heat put into the system (heat energy entering the system), TC is the absolute temperature of the cold reservoir, and TH is the absolute temperature of the hot reservoir.
  • 9. CARNOT CYCLE FEASIBILTY  Carnot's theorem: No engine operating between two heat reservoirs can be more efficient than a Carnot engine operating between those same reservoirs.  The Carnot cycle is the most efficient cycle operating between two specified temperature limits but it is not a suitable model for power cycles. Because:  Process 1-2 Limiting the heat transfer processes to two-phase systems severely limits the maximum temperature that can be used in the cycle (374 C for water) Process 2-3 The turbine cannot handle steam with a high moisture content because of the impingement of liquid droplets on the turbine blades causing erosion and wear. Process 4-1 It is not practical to design a compressor that handles two phases.
  • 10. RANKINE TERMINOLOGY  The Rankine cycle most closely describes the process by which steam- operated heat engines most commonly found in power generation plants to generate power.
  • 11. RANKINE CURVE 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 4-1: The wet vapor then Process 3-4: The dry saturated vapor enters a condenser where it is expands through a turbine, generating power. condensed at a constant This decreases the temperature and pressure temperature to become a saturated of the vapor liquid.
  • 12.
  • 13. Thermal Efficiency of Rankine Cycle:  Heat Input = Q23 = H3 – H2  Heat Rejected = Q41 = H4 – H1  Work Output = W34 = H3 – H4  Work done by Pump = W12 = H2 – H1  Work output – Pump work W34 – W12 η= = Heat Input Q23 “the rankine cycle has a lower efficiency compared to corresponding Carnot cycle 2‟-3-4-1‟ with the same maximum and minimum temperatures.”
  • 14. Reasons for Considering Rankine Cycle as an Ideal Cycle For Steam Power Plants: 1) It is very difficult to build a pump that will handle a mixture of liquid and vapor at state 1’ (refer T-s diagram) and deliver saturated liquid at state 2’. It is much easier to completely condense the vapor and handle only liquid in the pump. 2) In the rankine cycle, the vapor may be superheated at constant pressure from 3 to 3” without difficulty. In a Carnot cycle using superheated steam, the superheating will have to be done at constant temperature along path 3-5. During this process, the pressure has to be dropped. This means that heat is transferred to the vapor as it undergoes expansion doing work. This is difficult to achieve in practice.
  • 15. Second law analysis of Rankine cycle  The Rankine cycle is not a totally reversible cycle, it is only internally reversible, since heat transfer through a finite temperature difference (between the furnace and the boiler or between the condenser and the external medium) can results in irreversibilities.  The second law of thermodynamics can be used in order to reveal the regions where the largest irreversibilities within Rankine cycle occur.  It will be possible, therefore, to act on these regions to reduce the irreversibilities.  To do this we must compute the exergy destruction for each component of the cycle.
  • 16. MEAN TEMPERATURE METHOD In rankine cycle heat is added at a constant pressure but at infinite temperatures If TM1 is the mean temperature of the heat addition as shown in the 6 Tm1 figure so that the area under the 7 curve 2 to 3” is equal to the area under 6 and 7 then the heat added T2 is Q23” = Tm1 (S3”- S2) Tm1 = (H3”- H2)/(S3” – S2) Heat rejected, Q4”1 = H4” – H1 = T2 (S4” – S1) “The higher the mean temperature of heat addition, higher will be the η = 1 – Q23”/Q4”1 Rankine cycle efficiency.” η = [1 – Tm1/T2]
  • 17. DEVIATION OF ACTUAL VAPOUR POWER CYCLES FROM IDEALIZED CYCLE The actual vapor power cycle differs from the ideal Rankine cycle as a result of irreversibilities in various components. Fluid friction and heat loss to the surroundings are the two common sources of irreversibilities. Isentropic efficiencies (a) Deviation of actual vapor power cycle from the ideal Rankine cycle. (b) The effect of pump and turbine irreversibilities on the ideal Rankine cycle.
  • 18. HOW TO IMPROVE EFFICIENCY 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.18
  • 19. 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. Constraint: The temperature is limited by The effect of superheating the metallurgical considerations. Presently the steam to higher temperatures highest steam temperature allowed at the on the ideal Rankine cycle. turbine inlet is about 620 C. 19
  • 20. Increasing the Boiler Pressure (Increases Thigh,avg) Today many modern steam power plants operate at supercritical pressures (P > 22.06 MPa) and For a fixed turbine inlet have thermal efficiencies of about temperature, the cycle shifts to the 40% for fossil-fuel plants and 34% left and the moisture content of for nuclear plants. steam at the turbine exit increases. This side effect can be corrected by reheating the steam. The effect of increasing the boiler A supercritical Rankine cycle. pressure on the ideal Rankine cycle. 20
  • 21. THE IDEAL REHEAT 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. 21
  • 22. 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 average temperature at which heat is transferred during The reheat temperatures are very close or reheating increases as the equal to the turbine inlet temperature. number of reheat stages is The optimum reheat pressure is about one- increased.