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The Heat Balance and
Efficienc of Steam Boilers
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By : Debanjan Basak
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The efficient utilization of fuel in steam boilersis primarily determined by the following three
factors :
Complete combustion of the fuel in thefurnace
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Deep cooling of the combustion productsduring their passage through heatingsurfaces.
Minimization of heat losses to theenvironment.
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Heat absorbed by workingfluid in boiler :
Heat content of superheated steamfrom boiler
Heat content of reheated steam from
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boiler
Heat content of boiler blow- downwater
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Heat in Fuel
Heat in atomi sing steam
Sensible he at in fuel
INPUT Pulver iser or crusher power Boiler Circulating pump power
Primary air fan power
Recirculating gas fan power
Heat supplied by moisture in entering air
Heat in Final superheater steamHeat in desuperheater water
Heat in feedwater
Boundary envelope Heat in blowdown water OUTPUT
HEAT BALANCE IN STEAM GENERATOR
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Heat in reheat s team outHeat in desuperheater water
Heat in reheat steam i n
Unburnt carbon in a sh
Heat in dry gas
Moisture in fuel
Moisture from burni ng hydrogen
Moisture in ai r
LOSSES Heat in atomising steam
Unburnt gases
Radiation and convection
Sensible he at in slag
Heat in mill rejects Reference : PTC ; 4.1
Sootblowing
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Efficiency
Input = Heat input
Output = Input – losses
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Efficiency = Input
Output
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The Heat balance Equation
The distribution of the heat supplied tothe boiler as useful heat and lost heat is
the basis for compiling the heat
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balance of a steam boiler
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The Heat Balance Equation
Q = Q1 + (Q2 +Q3 + Q4 +Q5 + Q6) where :
Q= available heat of burnt fuel
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Q1= heat absorbed by working fluid
Q2 to Q6 = heat losses
Dividing both sides by Q and expressing as a %age we get :100 = q1 +(q2 +q3+q4+q5+q6)
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Methods of determining BoilerGross efficiency
Direct method
Inverse balance method
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The direct method
Uses the heat balance equation
Measures Q and Q1
Method is insufficientl inaccurate
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Accurate measurements of certainparameters like mass flow rate of steamand fuel,heating value of fuel etc is not
possibleNot a preferred method
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The inverse balance method
Uses the equation
Efficiency = 100 –(q2 +q3+q4+q5+q6)
Determines the sum of heat losses
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s more accurate met o s nce t e sum othe heat losses roughly constitutes 10% ofQ1.
All the items can be reliably measured
Is the SOLE method used for determiningefficiency
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Heat Losses in Steam Boilers
Item Symbol % as relative loss of Q
Waste Gases q1 4 - 7
Incomplete q2 0 – 0.5
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Unburnt Carbon q3 0.5 - 5
Cooling throughlining
q4 0.2 - 1
Pysical heat of
removed slag
q5 0 - 3
Sum of heat losses 6 - 12
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Chart depicting heat losses
Waste gases
Incomplete combstion
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Unburnt carbon
Cooling through lining
Physical heat of
removed slag
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na ys s o eat osses nSteam Boilers
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Dry Flue gas loss
Is the largest component of heat loss
It depends on the absolute difference
between the enthal of waste ases
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and the enthalpy of cold air supplied.
The enthalpy of waste gases dependson the exit temperature of waste gases
and its volume.
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Dry Flue gas loss
It is the heat lost to the atmosphere bydry component of flue gas
Also referred as stack loss
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Carbon and sulphur in coal burn to formthe dry component of flue gas
Carbon can burn to form either CO or
CO2
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Components of Dry Flue gas
Carbon- Dioxide
Carbon Monoxide
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Nitrogen
Sulphur Dioxide – can be neglected forIndian coals
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Seigert Formula for estimation of Dry Fluegas loss
% loss = K ( T – t )
% CO2
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K is a constant whose value are taken as :
For anthracite : 0.68
For Bituminous coal : 0.63
For coke : 0.70
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Wet flue gas loss
Wet products of combustion are obtainedfrom the following components in fuel :
Moisture
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–1 Kg of hydrogen burn to form 9 Kg of
moisture
The heat lost with the mass of the water
vapour along with flue gas to the atmosphereis known as wet flue gas loss
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Sensible Heat of water vapour
This is the amount of sensible heatabsorbed by moisture in coal
Is calculated b :
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( Wet FG loss – (GCV – NCV)) KJ/Kg fuel
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Moisture in combustion air
This is the amount of heat absorbed bythe moisture present in cold air
However this loss is ver small and is
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normally not calculated
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Heat loss with waste gases
By reducing the temperature of waste gases by 22degree cent it is possible to increase boiler efficiencyby 1%.
he exit tem erature of waste ases de ends on
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feed water temperature at economizer inlet and andcold air temperature at air heater inlet.
The exit temperature depends on the moisturecontent of fuel used.A higher moisture content
results in increase of heat loss for the same heatingsurface due to higher volume of combustion.
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Heat loss with waste gases
A cost economic approach is taken fordetermining the design optimal flue gas exittemperature.
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ne o t e ma n cons erat ons n m t ng t eFGET is the low temperature acid corrosion inair preheaters.The waste gas temperature isgenerally kept within 140- 160 deg cent to
prevent acid condensation.
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Reasons for high FGET
Improper soot blowing
Deposition on furnace wall tubes
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Low temperature at air heater inlet
High moisture content of fuel
High excess air ratioHigh air infiltration
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Clean
Tube
1200ºC
Scale
Both side
depositsSoot
300ºC
m t ng etaTemp of 450ºC
200M
Kcal/hr/m2150M
Kcal/hr/m2
155M
Kcal/hr/m2
120MKcal/hr/m2
Typical Heat transfer and temperature drop across furnace tube
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Heat loss with unburnt carbon
In the combustion of solid fuels, unburnt cokeparticles are carried off from the combustionchamber by flue gases.
Durin the short time the are resent in the hi h
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temperature zone of the flame, these particles evolvevolatile mater but remain partially unburnt.
Under normal operating conditions, these unburntcarbon loss may range from 0.5% to 5%
More the VM of fuel less is the heat loss.
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Heat loss with unburnt carbon
This loss can be divided into :
Carry over loss
Loss with slag or bottom ash
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e carry over oss s muc pre om nant overthe loss with slag.
The carry over loss is determined by thecarbon content in Fly ash samples collected
from ESP hoppers.The slag loss is determined by the carboncontent in bottom ash samples.
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Heat loss with unburnt carbon
The carry over loss depends on :
Excess air ratio
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The slag loss depends on :
Improper fineness of pulverized fuelfrom mills
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Heat loss by Incompletecombustion
The products of combustion containgaseous combustible substances suchas CO,H2 or CH4.
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Their afterburning beyond the boilerfurnace is practically impossible sincethe temperature of gases and
concentrations of combustiblecomponents and oxygen are too low.
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Heat loss by Incompletecombustion
The heat that may be produced by afterburningthese components constitutes the heat loss dueto incomplete combustion.
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the concentration of CO and to a lesser extentH2 in flue gas.
However analysis for incomplete combustionshould always be done for all components of
flue gas since even a slight quantity of CH4 mayhave a noticeable effect .
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Heat loss by Incompletecombustion
Heat loss due to incomplete combustionsubstantially depends on excess air ratio andboiler load conditions.
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eoret ca y, t oroug nterm x ng o ueand oxygen ensures that this heat loss maytake place only for K
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Heat loss by Incompletecombustion
With reduced load conditions, the exitrate of fuel and air through the burnersdecreases causing improper mixing
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which results in increase in heat loss.
Also the temperature of the combustionzone decreases with reduced load
causing an increase in incompletecombustion
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Unaccounted losses
Radiation loss
Loss due to unburnt volatilehydrocarbons
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Loss due to combination of carbon andwater-vapour
Mill rejection
Physical heat carried by bottom and fly-ash
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Heat Loss by Radiation
Since the temperature of the boiler liningsand casings are higher than the surroundings,they give up heat to the environment.
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g er s t e temperature o t e n ngs ancasings higher is this heat loss.
In general the boiler casings should beinsulated in such a way that the average
temperature of the casings is not more than55 degree cent.
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Typical summary of Radiation and
Unaccounted losses
BoilerRating
Approximate Range in %
020 0.6 – 1.7
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050 0.38 – 1.2
060 0.35 – 1.15
100 0.3 – 1.0
200 0.25 – 0.93
500 0.2 – 0.88
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Heat Loss by Cooling
In rough calculations, the heat flux from theboiler surfaces to the surroundings is taken atan average level of 200 – 300 W/m2
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t ncreas ng o er power, t e a so uteand relative heat loss q5% becomes lower asthe total heat release and the volume ofcombustion products increase more quickly
than the area of exposed boiler surfaces.
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Heat loss with physical heat ofslag
The slag removed from the bottom of a boilerfurnace has rather high temperature andpossesses a significant amount of heat.
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the slag bath and is lost irreversibly
In dry bottom furnaces the temperature ofslag is 600- 700 deg cent.
In slagging bottom furnaces the temperatureof flowing slag is 1400 – 1600 degree cent.
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Heat loss with physical heat ofslag depends on
Total ash content of fuel
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furnace
Enthalpy of slag
Method of removal of slag fromfurnace.
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Theoretical Air
It is the quantity of air required by afuel which will provide just sufficientoxygen for complete oxidation of the
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fuel
It is also known as the stoichometric air
requirement
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Quantity of theoretical air
The theoretical air is calculated from the
Ultimate analysis of fuel by the formula :
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4.31 x 83
C 8 ( H -O
8) S Kg/Kg of fuel
•The value within the bracket denotes the quantity of
oxygen reqd.
•The factor 4.31 gives the amount of air required to supply
this oxygen
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Excess Air
The actual amount of air required for completeburning of a fuel is always more than the theoreticalair.
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his additional quantity of air required over thetheoretical air is known as excess air
Present designs allow for 20% excess air for coalfired boilers
THE SUM OF THEORETICAL AIR AND EXCESS AIR ISTHE TOTAL AIR REQUIOREMENT FOR A BOILER
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Reasons for excess air
To overcome the uncertainties in thefuel-air mixing process
o ensure intimate mixin of fuel and
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oxygen at point of injection
To account for errors in ultimateanalysis of fuel
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Quantity of excess air
Excess air =
(O2 % X100)/ (21 – O2%)
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OR
(CO2 %(max) x 100)/CO2% - 100
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Conclusion
The quantity of excess air adverselyaffects boiler efficiency
he uantit of excess air needs to be
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optimized for achieving maximumefficiency of boiler
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Monitoring of excess air
By residual carbon dioxide in flue gas
By residual oxygen in flue gas
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By residual carbon- monoxide influe gas
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12
11
Total Loss
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9 Optimum Total air
8 Dry Gas loss
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o s s %
Optimisation of To tal Air supply
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6
5
4
3 Aux . Pow er
Unburnt Gas
2
1 Comb. In ash
14 15 16 17
Carbon- Dioxi de %
B o i l e r
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Optimisation of Total Air
• Unburnt gas (primarily CO) is formed just a littlehigher than the optimum CO2
• Measurement of CO is a better method of
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• Oxygen measurement in flue gas can be misleading
due to air ingress
• Modern combustion control utilizes CO measurement
in addition to Oxygen measurement
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Saturation
700
600
Air Defici ent Air Rich
500
400
Graph Depicting variation of Oxygen with Carbon Monoxide in Flue gas
f a n d i s c h a r g e
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Ideal Operating Point
300
200
100
5 6 7 8 At ID Discharge
1 2 3 4 5 At AH Inlet
p p m v
o l C O
a t I D
% Oxygen In Flue gas
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6 Mill s equally loaded
6 Mills unequally loaded
500
5 Mills equally loaded
400
i s c h a r g e
Effect of mill operation on CO breakpoint for a 500 MW PF boiler
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300
200
100
2 3 4 5
p p m v
o l C O
a t I D f a n
d
% Oxygen In Flue gas at Air Heater Inlet
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CO2 %
CO2 %
I n c r e a s i n g
Trend o f Boiler Gases with variations in excess air
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O2 %
SO2 ppm
-20 -10 0 10 20Excess Air %age
D e c r e a s i n g
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