Nithish-Influence of Component Efficiencies on Cycle Performance
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Transcript of Nithish-Influence of Component Efficiencies on Cycle Performance
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STEAM PIPING
The steam piping system is an essential part of steam power
plant. These are the following requirements.1) The piping adopted must ensure maximum reliability.
2) It should be possible to carry out inspection andmaintenancewithout complete shutdown of the plant.
3) Piping should be of necessary size to carry the requiredflow of fluids.
4) The piping should withstand high temperatures andpressures.
5) The number of fittings and bends required to make theconnections should be as minimumas possible.
6) The steam traps should be provided to drain the line and
prevent accumulation of water during the steam flow.
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STEAM PIPE FITTINGS Steam pipe fittings are used to assemble piping system and
make connections. Fittings can be in the form of screwed or welded fittings.
These are generally used in sizes up to 8cm in diameter.
For large pipe sizes flanges are used.
The various fittings which are in common use are:
1. Elbows
2. Bends
3. Tees4. Crosses
5. Plugs
6. Reducers.
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Elbows are used to change the directions of two pipes.
Tees are used for joining two pipe running's in same
direction and to provide outlet for a branch pipe. Reducers are used to join the pipes of different sizes.
Plugs and caps are used to close the ends of fittings and
pipes.
The present day power plants use welded connections forsteam lines to make them light.
Welding method makes pipe insulation easier.
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PIPING SUPPORTS
Steam pipes are usually supported by hangers, brackets,
rollers etc. The piping system should be anchored to limitthe maximum expansion and contraction strains.
The supported pipes should be free to move on their
supports in any direction except at the point of anchorage.
The supports should be arranged in such a way that any
one pipe can be withdrawn without disturbing the piping
system.
Rigid hangers are used to fasten overhead beams orembedded in concrete.
Rollers can be incorporated if axial movement is desired.
Spring type hangers can be used when the dimensional
changes are caused by temperature variations
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DESIGN OF STEAM PIPING
The design of pipe size should include the internal
pressure of steam, thermal expansion restraints and deadweight of pipes, fitting and insulation.
The pipe wall thickness to meet the requirement can be
calculated using
Tm=((d*p)/(2f+Bp))+C
Where Tm is minimum thickness of the pipe.(cm)
p is the steam pressure.
d is the outside diameter
f is allowable stress
B & C are the constants
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The steam flow rate through the pipe is given by
ms=A*Vs*
To determine the correct size of pipe with least cost, the
usual practice is to assume a velocity based on previous
experience and use the above equation for determining the
diameter if the mass of steam with its condition to be
carried is known.The higher the velocity of steam used, the smaller the
required size of pipe, but friction loss increases as a square
of the velocity.
Every care should be taken in the pipe layout to reduce thelength of the piping to minimum.
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The materials commonly used for steam piping insulation
are asbestos, magnesia, cork, hair felt, wool felt, rock wool
and diatomaceous earth.
A very common and effective insulation for temperature upto 4000C is the molded 85% magnesia.
A layer of glass silk before giving the layer of magnesia is
generally used for pipe insulation when the temperature is
above 500oC.
Glass silk has an advantage of cleanliness, non-inflammable
and can withstand vibration and rough handling without
losing its form or thermal efficiency.The heat loss through insulation is given by
Q=2**k[(T1-T2)/ln(r2/r1)] watts
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WASTE HEAT MANAGEMENT
Waste heat is the heat which is not used and exhausted out
as a waste product.
Recovery of exhaust heat can reduce fuel consumption and
increase thermal efficiency.
When the temperature of the exhaust gases exceeds 300oC,
steam generation becomes the most economical method. All the available waste heat appears as the low
temperature heat.
The heat discharged is either in the form of sensible heat orin the form of latent heat.
The waste heat is classified into high grade and low grade.
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High grade waste heat can be recovered easily through
properly designed heat equipments. The most economical
method of utilization is by waste heat boiler because steam
generated by cooling the gas can be used in the process as
well in turbines.
These flue gases justify as a viable source of energy for
industries as cement, iron, paper, glass and ceramicindustries as potential sources for heat recovery.
Low grade waste heat is usually in the form of flue gases
and drain waters. These are found in food processing and
chemical industries.
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THERMODYNAMIC CYCLES FOR WASTE HEAT
RECOVERY To recover the waste heat optimally, it is necessary to
bottom the heat energy to the maximum extent and at the
same time at its greatest efficiency.
Rankine cycles are attractive because they have relatively
high efficiency at low temperatures compared to otherdynamic energy conversion systems.
% of waste heat
That is recovered
Waste heat temp
Practicalrange
Carnot limit
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The higher the waste stream temperature and lower the
cooling medium temperature, the greater is the amount of
energy recovered.
The bottoming cycles can operate practically in the range
shown in the graph.
In a diesel engine, 38% of the fuel energy is converted into
work and remaining is waste heat.
Based on the efficiency limitations of the cycle, only
rankine, stirling and absorption cycles can be considered for
waste heat temperature of 100-400oC.
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HEAT RECOVERY METHODS
1) Sensible heat recovery: The gas-air heaters which are
commonly used are of counter-flow type.
By selecting various values of Tho , we can calculate the %
increase in recovery.
To double the heat recovery the area should be increased
by three times.
The recovery can be increased by increasing the value of
U.
The optimum heat extraction should be done byincreasing A as well as U such a way that extraction of
heat costs are minimum.
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2) Latent heat recovery:this is the most common method of
waste heat recovery when used for power generation.
Waste heat boilers can operate in any size and pressure
range of 2 to 50bar, the advantages arei. This form of recovery is attractive when latent heat is high
ii. A reasonably low temperature difference can be
maintained even when recovery is high.
iii. They require smaller pipe work as they operate in liquidphase which has high density.
iv. It gives higher values of U.
v. The system pressure can be kept low.
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OTHER USES OF WASTE HEAT
1. Agriculture:spray irrigation and soil heating can be used
to prevent the frost production in certain regions.
favorable temperatures govern the germination of the
seeds and increase the yield.
Heated water is used for soil sterilization for cotton seeds.
2. Green houses: it has been suggested that green houses
might be constructed adjacent to nuclear plants in cold
countries to use the waste heat and replace cooling
towers.3. Animal shelters: the growth rate of some animals is
strongly influenced on the environmental temperature.
This is particularly more effective for small animals like
poultry and swine.
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4. Aqua cultural uses: The fish species are cultivated in
controlled environments.
5. Waste heat utilization from waste water treatment:
municipal and industrial waste water effluents are used ascooling water in power plant. These are being looked upon
not as pollutants but as a secondary water source if
treated properly using waste heat.
6. Power generation7. Steam generation which can used for different industrial
purposes
8. Can be used as supplementary fuel in boilers.
9. Gas production.
WASTE HEAT BOILERS
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WASTE HEAT BOILERS
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INFLUENCE OF COMPONENT EFFICIENCIES ON
CYCLE PERFORMANCE
Components of a cycle :
1) Boiler
2) Nozzles
3) Turbine4) Condenser
5) Feed pump
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BOILERS
Evaporative capacity of a boiler is expressed in terms of kg
of steam evaporated/hr.
Equivalent evaporation may be defined as the amount of
water evaporated from water at 100oC to dry and
saturated steam at 100o
C.As per the standard conditions 1kg of water at 100oC
necessitates 2257kJ to get converted to steam at 100oC.
Boiler efficiency is the ratio of heat actually utilized in
generation of steam to the heat supplied by the fuel in the
same period.
Boiler efficiency = ma(h-hf)/C
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where,
ma= mass of water evaporated into steam per kg of
fuel at working pressure
h= enthalpy of steam/kg @ generating conditionshf= enthalpy of water @ given feed temperature and
C = calorific value of the fuel in kJ/kg.
The factors on which the boiler efficiency depends:
1. Boiler design
2. Built in losses
3. Properties and characteristics of fuel burnt4. Actual firing rate
5. Conditions of fuel absorbing surfaces
6. Humidity and temperature of the combustion air.
HEAT LOSSES IN A BOILER
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HEAT LOSSES IN A BOILER :
1. Heat lost due to flue gases.
The flue gases contain dry products of combustion as
well as steam generated due to combustion. The heat lost to flue gases can be reduced by passing
the flue gases through the economizer and preheater.
2. Heat lost due to incomplete combustion. The combustion is said to be incomplete if the carbon
burns to CO instead of CO2.
1kg of carbon releases 10120 kJ of heat if it burns to CO
and can release 33800 kJ/kg if it burns to CO2. This can be reduced by supplying excess quantity of air
and giving turbulent motion to the air before it enters
the furnace.
3 H t l t d t b t f l
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3. Heat lost due to unburnt fuel.
If mf1is the mass of unburnt fuel per kg of fuel used, then
heat lost is Q= mf1*C.
If solid fuels are used this loss cannot be completelyavoided.
4. Convection and radiation heat losses.
These losses can be reduced by providing insulation on
boiler surface.
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NOZZLES
A steam nozzle may be defined as a passage of varying
cross-section, through which heat energy of steam is
converted to kinetic energy.
In impulse turbine nozzles are fixed and in reaction turbine
are free to move.
NOZZLE EFFICIENCY:
When the steam flows through a nozzle the final velocity of
steam for a given pressure drop is reduced due to following
reasons1. Friction b/n nozzle surface and steam.
2. Internal friction of steam itself.
3. Shock losses.
M t f th f i ti l l b t th th t
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Most of these frictional losses occur between the throat
and exit of the nozzle.
The friction tends to decrease the velocity of steam andincrease the final dryness fraction or super heat steam.
Nozzle efficiencyis defined as the ratio of the actual
enthalpy drop to the isentropic enthalpy drop between thesame pressures.
nozzle= (h-ha)/(h-hs)
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TURBINE
Steam turbines are classified into
1. Impulse turbine2. Reaction turbine
In theformertype steam expands in the nozzles and its
pressure does not alter as it moves over the blades while in
the lattertype the steam expands continuously as it passes
over the blades and thus there is a gradual fall in the pressure
during expansion.
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Impulse turbine
Work done on the blade
It is only velocity of whirl which performs work on the blade.Force= mass of steam * acceleration
= ms(Cw1-Cw2)
Work done on blades/sec=force*distance travelled= ms(Cw1-Cw2)*Cbl
Blade or diagram efficiency
= (work done on the blades)
(Energy supplied to blade)
St ffi i
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Stage efficiency
stage=(work done on the blade/kg of steam)
(Total energy supplied/kg of steam)
stage= blade* nozzle
Overall or turbine efficiency
turbine=(heat converted into useful work)
(total adiabatic heat drop)
It is the overall efficiency that is meant when the efficiency of
a turbine is spoken .
EROSION OF TURBINE BLADES
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EROSION OF TURBINE BLADES
The most effected portion is the back of the inlet edge of
the blade, where either grooves are formed or even some
portion breaks away.
Methods to prevent erosion:
i. By raising the temperature of steam at inlet, so that at
exit of the turbine the wetness does not exceed 10%.
ii. By adopting reheat cycle.
iii. Drainage belts are provided on the turbine on outer
periphery.iv. The leading edge is provided with a shield of hard
material.
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LOSSES IN STEAM TURBINES1) Residual velocity losses:
The steam leaves the turbine with some absolute velocity.
The energy loss due to absolute exit velocity is 10 to 12%.
This loss can be reduced by using multistage.
2) Loss due to friction:
friction losses occurs in nozzles, turbine blades andbetween steam and rotating discs.
The loss due to friction is about 10%.
3) Leakage losses:
Between turbine shaft and bearings.
Leakage of steam through the glands.
Leakage at blade tips.
The total leakage loss is about 1-2%.
4) Losses due to mechanical friction:
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4) Losses due to mechanical friction:
The loss due to friction between shaft and bearing comes
under this category. Some loss occurs in regulating the
valves.This losses can be reduced using a efficient lubrication
system.
5) Radiation losses:
The heat is lost from turbine to surroundings as itstemperature is higher than atmospheric temperature.
This losses is usually negligible as turbines are highly
insulated.
6) Loss due to moisture:The steam contains water particles passing through the
lower stages of turbines as it becomes wet.
The velocity of water < velocity of steam and hence part of
K.E. of the steam is lost.
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CONDENSER
The desirable features of a good condenser are:
i. Minimum quantity of circulating water.ii. Minimum cooling surface area per kW capacity.
iii. Minimum auxiliary power.
iv. Maximum steam condensed per m2of surface area.
Condenser
vacuum
pressure
Cooling water temp
AIR LEAKAGE IN CONDENSER
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AIR LEAKAGE IN CONDENSERSources:
1. The air leaks through the joints, packings and glands into
the condenser where the pressure is below theatmospheric.
2. The feed water contains air in dissolved condition. Thedissolved air gets liberated when the steam is formed and
it is carried with the steam into the condenser.Effects:
1. It increases the pressure in condenser or back pressure ofthe prime mover and reduces the work done/kg of steam.
2. The pressure of air lowers the partial pressure of steamand its corresponding temperature.
3. The heat transfer rates are reduced due to the presence of
air as it offers high resistance.
R l
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Removal:
1. The air from the condenser is removed with the help of air
pumps.
2. The primary function of air pump is to maintain the
vacuum in the condenser which corresponds to the
exhaust steam temperature by removing the air.
3. Another function of the pump is to remove thecondensate coming out from the bottom of the
condenser.
4. An air pump which removes both air and condensate is
called wet air pump while the pump which removes onlymoist air is called dry air pump.
VACUUM EFFICIENCY
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VACUUM EFFICIENCY It is defined as the ratio of the actual vacuum to the
maximum obtainable vacuum.
The higher vacuum is obtained when there is only steam
and no air is present in the condenser.
CONDENSER EFFICIENCY
condenser efficiencyis defined as the ratio of the rise in
temperature of cooling water to the difference between the
temperature corresponding to the vacuum in the condenser
and inlet temperature of cooling water.
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