6
CASE STUDY Energy Conservation in Air Cooled Condenser: A Case Study D. S. Mallick S. Paul Received: 30 May 2012 / Accepted: 16 January 2014 Ó The Institution of Engineers (India) 2014 Abstract Air cooled condensers were first introduced in the US power industry in the early 1970s, but only during the last few decades has the number of installations greatly increased, largely to mitigate the problem of available water supply. Air may be used as a cooling medium in condensers where, pri- marily, there is scarcity of water, or where the ambient remains significantly cold for major parts of the year. Air cooled con- densers are designed considering the design ambient condi- tions of summer. During winter months, if the air flow rate over the heat transfer surfaces is kept constant, it leads to improved condenser vacuum, and consequently, improved heat rate. Alternatively, the fans may be run at lower speeds, by using variable frequency drives (VFD), so as to keep the condenser vacuum constant, resulting uniform heat rate. This paper compares the economics between the power saved by the use of VFD in the condenser fans, keeping constant heat rate throughout the year, vis-a `-vis, the saving in fuel, effected when the fans are operated at constant speed throughout the year and thus achieving improved heat rate during colder ambient. Keywords Air cooled condenser VFD Cogeneration Affinity law List of Symbols A Area of finned tubes exposed for heat transfer (m 2 ) C f Cost of fuel (USD/kL) Cp a Specific heat capacity of air (kJ/kg °C) DBT Dry bulb temperature (°C) GCV Gross calorific value of fuel (kcal/kg) h bd Enthalpy of blowdown water from steam drum (kJ/kg) h i Enthalpy of water at boiler inlet (kJ/kg) h o Enthalpy of steam coming out from the boiler (kJ/kg) LMTD Log mean temperature difference (°C) L s Latent heat of condensation of steam (kJ/kg) M Mass of steam produced in the boiler (T/h) M sav Mass of fuel saved per year (T/year) m a Mass flow rate of air over the finned surfaces of the condenser (T/h) m bd Mass of water taken as blowdown from the steam drum (T/h) m o Fuel consumption (T/h) m s Mass flow rate of steam in the condenser (T/h) NPV Net present value (USD) P Power consumed by the condenser fans (KW) S Annual monetary savings obtained due to saving in fuel consumption (USD/year) T f Final temperature of exit air from the condenser (°C) T i Initial temperature of air (ambient air temperature) (°C) T s Temperature of condensing steam (°C) U Overall heat transfer co-efficient from steam to air (kcal/h m 2 °C) V a Volume flow rate of air in the condenser (m 3 /h) g b Efficiency of boiler (%) q a Density of air (kg/m 3 ) q f Density of fuel (kg/m 3 ) Introduction With gradual scarcity of water, use of air as a cooling medium has greatly increased in the last decade. This has D. S. Mallick (&) S. Paul Development Consultants P Ltd, Kolkata, WB, India e-mail: [email protected] 123 J. Inst. Eng. India Ser. C DOI 10.1007/s40032-014-0095-3

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Page 1: Energy Conservation in Air Cooled Condenser: A Case Study

CASE STUDY

Energy Conservation in Air Cooled Condenser: A Case Study

D. S. Mallick • S. Paul

Received: 30 May 2012 / Accepted: 16 January 2014

� The Institution of Engineers (India) 2014

Abstract Air cooled condensers were first introduced in the

US power industry in the early 1970s, but only during the last

few decades has the number of installations greatly increased,

largely to mitigate the problem of available water supply. Air

may be used as a cooling medium in condensers where, pri-

marily, there is scarcity of water, or where the ambient remains

significantly cold for major parts of the year. Air cooled con-

densers are designed considering the design ambient condi-

tions of summer. During winter months, if the air flow rate over

the heat transfer surfaces is kept constant, it leads to improved

condenser vacuum, and consequently, improved heat rate.

Alternatively, the fans may be run at lower speeds, by using

variable frequency drives (VFD), so as to keep the condenser

vacuum constant, resulting uniform heat rate. This paper

compares the economics between the power saved by the use

of VFD in the condenser fans, keeping constant heat rate

throughout the year, vis-a-vis, the saving in fuel, effected when

the fans are operated at constant speed throughout the year and

thus achieving improved heat rate during colder ambient.

Keywords Air cooled condenser � VFD � Cogeneration �Affinity law

List of Symbols

A Area of finned tubes exposed for heat transfer (m2)

Cf Cost of fuel (USD/kL)

Cpa Specific heat capacity of air (kJ/kg �C)

DBT Dry bulb temperature (�C)

GCV Gross calorific value of fuel (kcal/kg)

hbd Enthalpy of blowdown water from steam drum

(kJ/kg)

hi Enthalpy of water at boiler inlet (kJ/kg)

ho Enthalpy of steam coming out from the boiler (kJ/kg)

LMTD Log mean temperature difference (�C)

Ls Latent heat of condensation of steam (kJ/kg)

M Mass of steam produced in the boiler (T/h)

Msav Mass of fuel saved per year (T/year)

ma Mass flow rate of air over the finned surfaces of

the condenser (T/h)

mbd Mass of water taken as blowdown from the steam

drum (T/h)

mo Fuel consumption (T/h)

ms Mass flow rate of steam in the condenser (T/h)

NPV Net present value (USD)

P Power consumed by the condenser fans (KW)

S Annual monetary savings obtained due to saving

in fuel consumption (USD/year)

Tf Final temperature of exit air from the condenser (�C)

Ti Initial temperature of air (ambient air

temperature) (�C)

Ts Temperature of condensing steam (�C)

U Overall heat transfer co-efficient from steam to

air (kcal/h m2 �C)

Va Volume flow rate of air in the condenser (m3/h)

gb Efficiency of boiler (%)

qa Density of air (kg/m3)

qf Density of fuel (kg/m3)

Introduction

With gradual scarcity of water, use of air as a cooling

medium has greatly increased in the last decade. This has

D. S. Mallick (&) � S. Paul

Development Consultants P Ltd, Kolkata, WB, India

e-mail: [email protected]

123

J. Inst. Eng. India Ser. C

DOI 10.1007/s40032-014-0095-3

Page 2: Energy Conservation in Air Cooled Condenser: A Case Study

resulted in increase in the number of installations of air

cooled condensers in power plants. Air can be conveniently

used as a cooling medium in places where there is scarcity

of water, i.e., where water cooled condensers cannot be

arranged for. It can also be used in places where the

ambient is significantly cold for major parts of the year.

Air cooled condensers utilize large fans to drive ambient

air over the heat transfer surfaces. The heat transfer surfaces

are finned tubes which carry steam. The finned tubes are

arranged in bundles on an ‘A’ frame. The cooler ambient air

extracts heat from the steam and condenses it. The vacuum

produced in the condenser depends upon the air temperature

and air flow rate over the finned tubes. If the fans are oper-

ated at fixed speeds, i.e., the air flow rate is kept constant,

then, during winter months, the vacuum in the condenser

improves. This, in turn, enhances the power generation. In

cases, where there is no provision to export the excess power

to the grid, this results in reduction of steam flow thru the

turbine to match the fixed electrical load.

A similar case has been studied in this paper where the

generator is not synchronized with the grid. In such a case,

power generation, at different ambient temperatures, is

made to remain constant, either by varying the air flow rate

or by varying the steaming rate.

The case discussed in this paper is a 2 9 15.5 MW co-

generation plant in Dammam, Saudi Arabia. Due to scar-

city of water in Dammam, the choice of air cooled con-

densers was automatic. From the monthly design dry bulb

temperature profile of Dhahran, a place close to Dammam

and for which meteorological data is available in ASHRAE

Handbook—Fundamentals [1], it is noted that the design

dry bulb temperature in the month of July is as high as

44.2 �C, whereas, the design dry bulb temperature in the

month of January falls to 23 �C.

Apart from generating power, the plant also produces

140 T/h of process steam.

Since, the plant is not synchronized with the grid, the

power generation cannot exceed 31 MW throughout the

year. One way of realizing it is by controlling the con-

denser vacuum, by varying the air flow rate. In other words,

this can be done by varying the speed of the fans, i.e., by

use of variable frequency drive (VFD) in the fans. Alter-

natively, it can be achieved by keeping fixed air flow rate,

but, by varying the steaming rate, which in turn results in

saving in fuel consumption.

In the present context, a comparative study between the

above two cases has been presented in this paper.

Plant Configuration

The 2 9 15.5 MW Co-generation Power Plant, considered

for the analysis, generates process steam and power for a

paper plant. It has three (two working ? one standby) light

crude oil/natural gas fired boilers, each having the capacity

to generate 118 T/h steam at 83 kg/cm2 (absolute) and

510 �C, two extraction-cum-condensing turbines, each

with a gross output of 15.5 MW, coupled with air-cooled

condensers.

Steam from the boilers will be connected to a high

pressure header. Two exhaust lines from this HP header

delivers steam to each of the 15.5 MW TG set. Steam

parameters at turbine are 83 kg/cm2 (absolute) and

510 �C, ignoring line losses. 75.5 T/h of steam, including

deaerator heating steam, is extracted at 11.5 kg/cm2

(absolute) from each of the two turbines. The extraction

steam from each of the turbine is collected in the medium

pressure process header. From this header, process steam

of 140 T PH at 11.5 kg/cm2 (absolute), 200 �C is trans-

ported to paper machine complex of the associated pro-

cess plant.

The exhaust steam from each turbine is fed to an air

cooled condenser. The condensate is collected in a con-

densate storage tank and is pumped to the deaerator by

2 9 100 % condensate extraction pumps. Three boiler feed

pumps (two working ? one standby) pump the water back

to the boilers. The corresponding heat and mass balance

diagram, for an ambient temperature of 43.5 �C, is shown

in Fig. 1.

Calculation Procedure

The solution of the problem involves analysis of the fol-

lowing two scenarios:

Case 1 Calculation of the monetary savings obtained by

saving power consumption in the condenser fans, by use of

VFD to provide the same vacuum, thus providing gross

power generation and the process heat load constant

throughout the year.

Case 2 Calculation of the monetary savings obtained

by saving fuel consumption by varying the steaming rate

so as to maintain the same gross power generation and

same process heat load throughout the year. In this case,

the fans are assumed to operate at a fixed speed all the

year round.

Basis of Calculation

The calculation has been done based on the following

considerations:

(i) The plant runs throughout the year.

(ii) The monthly average dry bulb temperature of Dam-

mam is considered same as that of Dhahran, which is

J. Inst. Eng. India Ser. C

123

Page 3: Energy Conservation in Air Cooled Condenser: A Case Study

close to Dammam, for which meteorological data is

available.

(iii) Light crude oil was considered as the fuel.

GCV of light crude oil was considered as

10,000 kcal/kg.

(iv) While developing the heat and mass balance dia-

grams, to work out various steaming rates corre-

sponding to various time of the year for Case 2, the

following assumptions were made:

a) Turbine efficiency is 82 %.

b) Condenser is designed for 47 �C ambient and 52

T/h flow total.

c) Required power at the Generator terminal is

31 MW.

d) Required process steam is 140 T/h at

11.5 kg/cm2 (absolute), 200 �C.

e) Pressure drop in piping is ignored.

f) Boiler efficiency is 82 %, based on GCV of fuel.

(v) Cost of light arabian crude is $40/kl.

(vi) Cost of electric power is $0.04 per KWh.

(vii) Bank discount rate is 10 %.

Formulation

Case 1

This case involves the calculation of annual energy con-

sumption by the condenser fans and its monetary equiva-

lent as follows:

(i) Vacuum created in the condenser being constant

throughout the year, Ts and Ls were known. U and A

were obtained from the condenser manufacturer’s data.

Using these values in Eq. (1), LMTD was calculated:

ms � 103 � Ls ¼ 4:18 � U � A � LMTD ð1Þ

The variation in the value of U, with respect to different

ambient conditions, was not available from the manu-

facturer, and hence, constant U has been considered for

the calculations. However, the variation of U being

5–10 % at the most, its effect is not significant and may

not change the overall result.

(ii) Assuming values of Tf, LMTD was also found out

using Eq. (2):

Fig. 1 Heat and mass balance diagram

J. Inst. Eng. India Ser. C

123

Page 4: Energy Conservation in Air Cooled Condenser: A Case Study

LMTD¼ Ts� Tið Þ� Ts� Tfð Þ

lnTs� Tið Þ

Ts� Tfð Þ

� � ð2Þ

(iii) The two LMTDs, thus obtained, were checked to

examine whether they match each other. Trial and

error was conducted, by assuming different values of

Tf, to see that LMTD obtained by (1) and (2) are

close to each other by 0.002 �C.

(iv) With the final value of Tf, obtained after achieving

desired level of convergence, ma was calculated

using Eq. (3).

ma x Cpa x Tf� Tið Þ ¼ ms x Ls ð3Þ

(v) Volume flow rate of air flowing into the condenser

was found out using Eq. (4).

Va ¼ ð1; 000 � maÞ =qa ð4Þ

(vi) Power consumed by the fans at different air flow rate

was then calculated using the affinity law:

P a Vað Þ3 ð5Þ

(vii) The energy consumed by the condenser fans at

different times of the year was calculated.

(viii) The energy consumed by the fans, at rated condition,

was found out from the fan manufacturer’s data.

(ix) The difference between the results of steps (viii) and

(vii) yielded the savings in energy consumed by the

fans at different times of the year, which, when

summed, indicates the annual energy saving.

(x) With the knowledge of the present cost of energy, finance

charge and the expected life of the plant, the present

value (PV) of this saved annual energy was calculated.

(xi) The NPV was calculated by subtracting the capital

expenditure from the result of step (x).

Case 2

The annual savings in the fuel consumption and its mon-

etary equivalent was calculated as follows:

(i) Assuming a value of Ls, Tf was calculated using

Eq. (3).

(ii) The saturation temperature corresponding to the

assumed Ls was taken as the condensing temperature

of the steam, Ts.

(iii) LMTD was then found out using Eq. (2).

(iv) LMTD was also found out using Eq. (1).

The variation in the value of U, with respect to different

steaming rate, was not available from the manufacturer,

and hence, constant U has been considered for the calcu-

lations. However, the variation of U being 5–10 % at the

most, its effect is not significant and may not change the

overall result.

(v) The two LMTDs, thus obtained, were checked to

examine whether they match each other. Trial and

error was conducted, by assuming different values of

Tf, to see that LMTD obtained by (1) and (2) are close

to each other by 0.002 �C.

(vi) The saturation pressure corresponding to Ts was taken

as the condenser pressure.

(vii) The above steps were repeated to calculate the

condenser vacuum for every month.

(viii) For simplicity, the twelve months were clubbed into

four groups and Heat and mass balances were,

subsequently, conducted for every group, taking the

average values of condenser pressures for that group.

The heat and mass balances were conducted consid-

ering 2.5 % blowdown and neglecting any pressure

drop in the pipings.

(ix) Using these heat and mass balances, the consumption

of fuel was calculated using Eq. (6).

mo ¼mbd hbd� hið Þf g þ M ho� hið Þf g

gb=100ð Þ � GCVð6Þ

(x) The savings in the consumption of fuel with respect to

rated ambient condition was calculated over the year.

The price of the fuel saved was found out using Eq. (7).

S ¼ ðMsav=1; 000 � qfÞ � Cf ð7Þ

(xi) With the knowledge of the present cost of fuel,

finance charge and expected life of the plant, the NPV

of this saved fuel was calculated.

Table 1 Case 1 for same heat rate, same power generation, variable

fan speed (with VFD)

Month Monthly

DBT (�C)

Fan power

consumption

(KW)

Energy

consumption

in fan (MWh)

January 23 6.038 4.49

February 25 7.332 4.93

March 29.2 11.564 8.60

April 36.2 30.686 22.09

May 41.4 89.350 66.48

June 43.2 149.304 107.50

July 44.2 210.162 156.36

August 43.2 149.304 111.08

September 41.2 84.924 61.15

October 37.9 41.522 30.89

November 31.2 14.780 10.64

December 26.2 8.292 6.17

590.38

J. Inst. Eng. India Ser. C

123

Page 5: Energy Conservation in Air Cooled Condenser: A Case Study

(xii) Since, the capital expenditure in this case is zero,

the result of step (xii) yielded the NPV of annual savings.

Results

Case I has been tabulated in Table 1. The analysis of Case I

reveal that the annual consumption of energy by the con-

denser fans is 590.38 MWh, with the use of VFD, whereas,

that without VFD is 7,161.83 MWh (Table 3). The

monthly consumption of energy by the air cooled

condenser fans has been tabulated in Table 1. From the

table it is observed that the consumption of energy by the

fans has a large annual variation, ranging from 4.49 MWh,

in January, to 156.4 MWh, during July.

Case II has been tabulated in Table 2. From the analysis of

case II, it is observed that the annual saving in consumption

of fuel, in the two boilers together is about 1,140 tonnes.

Table 3 gives a comparison of the two cases. From

Table 3, it is observed that although the installation of VFD

requires an additional capital expenditure of about 47,254

Table 2 Case 2 for same power generation, same fan discharge rate, variable vacuum, variable steaming rate (i.e., variable fuel consumption)

Paired Months

MonthlyDBT(°C)

Temperatureof

condensing steam(°C)

Exhaust pressure

of turbine(kg/cm2)

Fuel consumption

rate inboilers(T/hr)

Saving infuel

consumptionrate inboilers(T/hr)

Saving in fuel

consumptionin boilers

(T)

December 26.2

24.73 32.58 0.0501 16.00 0.2980 643.68January 23

February 25

March 29.2

35.6 43.57 0.0908 16.18 0.1180 260.54April 36.2

May 41.4

June 43.2

43.53 51.57 0.1360 16.30 0.0000 0.00July 44.2

August 43.2

September 41.2

36.77 44.75 0.0965 16.19 0.1080 235.87October 37.9

November 31.2

1,140.10

Average Three-

MonthlyDBT(°C)

Table 3 Comparison of Case 1 and 2

Units Case 1 Case 2

Annual energy consumption in fans MWh 590.38 7,161.83

Annual savings in fan energy consumption MWh 6,571.44 BASE

Annual savings in fuel Tonnes BASE 1,140.10

Price of the saved energy in fans annually USD 2,66,143.41 BASE

PV of the saved powera USD 24,92,411.74 0.00

Price of the fuel saved annually USD BASE 53,778.11

NPV of the saved fuelb USD BASE 5,03,627.73

Capital investmentc USD 47,254.20 0.00

NPV of net savingsd USD 24,45,157.54 5,03,627.73

a the present value of power saved due to the use of VFD in condenser fansb the net present value of the savings incurred by saving on fuel consumption during power generationc the additional capital investment required for use of VFD in condenser fansd the net present value(s) of the overall monetary savings incurred by the use of VFD in condenser fans and the corresponding savings incurred by saving on fuel

consumption (by controlling steaming rate)

J. Inst. Eng. India Ser. C

123

Page 6: Energy Conservation in Air Cooled Condenser: A Case Study

USD, the NPV with the use of VFD is about 4.85 times the

NPV of annual monetary savings due to reduction in the

consumption of fuel.

Conclusion

The case study, represented here, reveals that although

VFD demands an additional capital investment, it is more

economical to use VFD to control the amount of power

generated for a power plant running in island mode with

constant power and heat demand. The plant highlighted in

this paper is based at Saudi Arabia, where the cost of fuel

oil and power is low. The result remains same for other

geographical areas also, though the extent of attractiveness

of VFD drive may not be the same.

Reference

1. ASHRAE Handbook—Fundamentals 2005

J. Inst. Eng. India Ser. C

123