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You are at:Home»Power Plant»Boiler Efficiency Calculation by Direct Method with Example

Boiler Efficiency Calculation by Direct Method with Example

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In this article, we learn about boiler efficiency’s meaning and formula for direct method of calculation. Also, we practice with an example.

What is a boiler efficiency?

Boiler Efficiency involves the ratio between energy output to energy input. It is a fraction of the energy input that goes into raising steam.

The formula is as follows:

 \text{Boiler Efficiency} (\%) = \frac{\text{Energy Output}}{\text{Energy Input}} \times 100

Here

Energy output means heat exported or gained by the fluid of water, steam (Heat of the steam output in Kcal)

Energy input means which is heat provided by the fuel (Heat in fuel input in Kcal)

The efficiency of a boiler is mainly calculated based on the following inputs

Amount of fuel fed to the boiler furnace in Kgs/hour and its gross calorific value in Kcal/kg.

Amount of water being fed by a pump to the boiler in kgs/hr or by keeping track of Steam output from the boiler every hour in kgs/hr which can be measured using steam flow meters.

Boiler Efficiency involves the ratio between energy output to energy input. It is a fraction of energy input that actually goes into raising steam.

Generally, the efficiency of the boiler can be tested by the two  methods which are a direct method and indirect method

The Direct method means, compares how much energy one gains from the working fluid of water and steam is with the total amount of energy contained within the fuel.

The direct method means, measure the efficiency at which energy is  input and energy is output

The Indirect Method means measure the efficiency is that the difference between the losses and the energy input

The Direct Method:

The direct method of the boiler efficiency is also known as the “input-output method” because this evaluation considers only the useful heat output i.e steam and the heat input (i.e. fuel).

 \text{Efficiency of Boiler} (\%) = \frac{\text{Energy of Heat adding to the steam}}{\text{Gross Heat Energy in fuel}} \times 100

Formula for Direct method of Boiler efficiency

 \text{Efficiency of Boiler} (\%) = \frac{\text{Steam Flow Rate} \times (\text{Steam Enthalpy} - \text{Feed Water Enthalpy})}{\text{Fuel Firing Rate} \times \text{Gross Calorific Value}} \times 100

Example:1

Water consumption and fuel consumption were measured in a boiler at hourly intervals. Weighed quantities of fuel were fed to the boiler during the period of operation. Simultaneously note down the steam generation during the that period. Blowdown is to be avoided during the that period. By taking the measured data and calculated the efficiency of boiler as per the below examples.

Boiler Efficiency ( Considering Bagasse as a fuel)

S.No Description Values UOM
 Heat output data
1  Quantity of steam generation 64  TPH
2  Steam Pressure 42  Kg/cm2
3  Steam temperature 410  oC
4  Enthalpy of the steam (dry & saturated) 773  Kcal/kg
5  Feed water temperature 110  oC
6  Enthalpy of feed water 110  Kcal/kg
 Heat input data
1  Quantity of fuel consumed 30  TPH
2  Gross Calorific Value of fuel 2100  Kcal/kg
 Boiler Efficiency 67.36  %
 Steam to Fuel ratio 2.13  Ton of steam/Ton of fuel

Example:2

Boiler Efficiency ( Considering Coal as a fuel)

S.No Description Values UOM
 Heat output data
1  Quantity of steam generation 64  TPH
2  Steam Pressure 42  Kg/cm2
3  Steam temperature 410  oC
4  Enthalpy of the steam (dry & saturated) 773  Kcal/kg
5  Feed water temperature 110 oC
6  Enthalpy of feed water 110  Kcal/kg
 Heat input data
1  Quantity of fuel consumed 15  TPH
2  Gross Calorific Value of fuel 4000  Kcal/kg
 Boiler Efficiency 70.73  %
 Steam to Fuel ratio 4.27  Ton of steam/Ton of fuel

Example:3

Boiler Efficiency ( Considering Concentrated Spent wash as a fuel)

S.No Description Values UOM
 Heat output data
1  Quantity of steam generation 17  TPH
2  Steam Pressure 43  Kg/cm2
3  Steam temperature 380  oC
4  Enthalpy of the steam (dry & saturated) 758  Kcal/kg
5  Feed water temperature 110  oC
6  Enthalpy of feed water 110  Kcal/kg
 Heat input data
1  Quantity of fuel consumed 8.8  TPH
2  Gross Calorific Value of fuel 1900  Kcal/kg
 Boiler Efficiency 65.92  %
 Steam to Fuel ratio 1.9  Ton of steam/Ton of fuel

The Indirect Method:

The efficiency of the boiler can be measured in the indirect method is also easily by measuring all the losses occurring in the boilers using the principles to be described.

We use the indirect method to overcome the disadvantages of the direct method. In this method, we have to calculate the various heat losses associated with boiler.

The efficiency of boiler can be arrived at, by subtracting the heat loss in terms of enthalpy from the total input fuel enthalpy.

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