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Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
INTERNATIONAL JOURNAL OF MECHANICAL ENGINEERING 
17 – 19, July 2014, Mysore, Karnataka, India 
AND TECHNOLOGY (IJMET) 
ISSN 0976 – 6340 (Print) 
ISSN 0976 – 6359 (Online) 
Volume 5, Issue 9, September (2014), pp. 01-07 
© IAEME: www.iaeme.com/IJMET.asp 
Journal Impact Factor (2014): 7.5377 (Calculated by GISI) 
www.jifactor.com 
1 
 
IJMET 
© I A E M E 
OPTIMIZATION OF ENGINE OPERATING PARAMETERS 
 
Nandkishore D.Rao1, Dr. B. Sudheer Prem Kumar2, Dr. C. Srinath3, Chandrashekar Patil4 
1Automobile Engg, Guru Nanak Dev Engineering College, Bidar, Mailoor Road- 585403, India 
2Mechanical Engg, JNT University College of Engineering, Hyderabad, India 
3Govt. Polytechnic for Women, Badang pet, Hyderabad, India 
4Mechanical Engg, Guru Nanak Dev Engineering College, Bidar, Mailoor Road, Bidar- 585403, Karnataka, India 
ABSTRACT 
This study is aimed at investigating the optimum combination of various engine operating parameters for 
obtaining highest brake thermal efficiency and lowest emissions of smoke from a single cylinder diesel engine fuelled 
with Honge oil- ethanol blend. During this work, the experiments are designed using a tool known as design of 
experiments based on Taguchi and grey relational approaches. Engine operating parameters, namely, injector opening 
pressure, fuel injection timing and compression ratio are varied at three levels and the responses like brake thermal 
efficiency, brake specific energy consumption, emissions of oxides of nitrogen and smoke opacity are investigated. A 
combination of injection pressure of 220 bar, injection timing of 27° before top dead centre and a compression ratio of 18 
resulted in highest brake thermal efficiency and lowest smoke opacity. Results of confirmation tests indicated good 
agreement with predicted quantities. 
Keywords: Brake thermal efficiency, Design of experiment, Engine operating parameters, Grey relational approach, 
Honge oil-ethanol blend. 
1. INTRODUCTION 
Energy is very essential for development of any country. With increasing industrialization and explosive growth 
of vehicular population, the demand for energy is increasing at faster rate. To cater the energy demand, majority of 
countries import petroleum products from oil rich countries this puts additional financial burden on their economy. In 
year 2008, world’s total petroleum products resources were about 1238834 million barrels and the demand is estimated to 
be 122 million barrels per day in 2032 [1-2]. 
With estimated petroleum reserves and projected demand, it is possible that the petroleum oil may deplete in 
near future. Among the different petroleum products, consumption of diesel is highest because of widespread use of 
compression ignition engines for transportation, power plants and agricultural implements, etc. due to their durability, 
reliability and fuel economy. Combustion of diesel fuel leads to higher CO2 emission which is responsible for global 
warming. 
To overcome the problem of depletion of petroleum oil and to reduce the environmental pollution, it is 
necessary to develop alternative fuels which are renewable, can be prepared locally and can emit low level of emittants to 
air. 
Among many alternatives, vegetable oils can be used as fuel for diesel engine due to their properties closer to 
diesel and can be obtained from crops which ensure energy security. These are clean burning, renewable, non-toxic,
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
biodegradable, and environment friendly fuels that can be used in neat form or in blends with petroleum derived in diesel 
engines. 
2 
 
Use of vegetable oils as fuel for diesel engine is known since its very first creation. But use of neat vegetable 
oils indicates inferior engine performance due to their higher viscosity and lower volatility. To improve the fuel 
properties, vegetable oils can be preheated, converted to biodiesel, blended with suitable solvents like diesel/alcohol, etc. 
Preheating of vegetable oil requires additional heating arrangement which adds to the cost of engine. The trans-estrification 
process (making biodiesel) requires costlier logistical support and skilled workforce. Mixing of vegetable oil 
with diesel negates the idea of complete replacement of diesel. Blending of vegetable oil with oxygenated solvent like 
ethanol can be done to reduce the viscosity for improvement of engine performance and to reduce the emissions like 
hydrocarbon and smoke opacity due to presence of inherent oxygen in it. These blended vegetable oil fuels can be used 
as complete replacement for diesel as these can be prepared at the site of application without any costlier logistical 
support and skilled workforce. 
As the fuel properties like viscosity, specific gravity and calorific value of vegetable oil- ethanol blends are not 
same as that of diesel, it is essential to study the effect of variation of various engine operating parameters to optimize the 
engine operation for highest brake thermal efficiency. The progress of combustion process depends on engine design 
factors like shape and size of combustion chamber, location of nozzle and operating parameters like fuel injection 
pressure, fuel injection timing, piston to head clearance, number and size of nozzle holes, etc. The design parameters are 
set at design stage, it is not easy to change the design parameters as per type of fuel used, whereas it is easy to change the 
operating parameters. 
To find the optimum combination of above engine operating parameters for highest brake thermal efficiency 
(BTE) and lowest smoke opacity (SO), “variation in one-factor-at-a time” method requires large number of trials, as there 
could be many combinations of these parameters. Conduction of experimental investigations with all combinations of 
engine operating parameters would be time consuming and costly. 
Hence, some optimization approach can be used for finding suitable combination of engine operating parameters 
so that engine can work with highest brake thermal efficiency and lowest emissions. The most common optimization 
techniques which can be used for engine analysis are response surface method, grey relational analysis [3], non-linear 
regression [4], genetic algorithm [5] and Taguchi method, etc. 
In present investigation a blend of 70% Honge oil and 30% ethanol is used for operating diesel engine. The 
Taguchi method along with gray relational analysis are used to study effect of several engine operating parameters 
simultaneously with only few experiments to find optimum combination of these parameters for highest BTE and lowest 
emissions. 
2 TAGUCHI- GREY RELATIONAL APPROACH 
The Taguchi with grey relational approach can be applied in following steps. 
1. Identification of system output of interest and Selection of levels for the input factors. 
2. Selection of appropriate orthogonal array (OA). 
3. Conduction of experiments as per combinations of orthogonal array. 
4. Normalization of system output values between zero and one and calculation of grey relational coefficient to 
express relation between actual output values and desired values. 
5. Calculation of overall grey relational grade using weightage factors. 
6. Identification of level of each input factor with highest grey relation grade and S/N ratio (Signal to noise ratio). 
7. Calculation of system output values at optimum combination of input parameters and Verification of responses 
with confirmatory test under similar condition. 
3 OPTIMIZATION OF ENGINE OPERATING PARAMETERS USING TAGUCHI AND GREY 
RELATIONAL ANALYSIS 
3.1 Selection of Engine Operating Parameters and Engine Responses 
There are various engine operating parameters which affects the engine characteristics. Among those, in present 
work, IOP, FIT and CR are considered for investigations. The different levels of IOP, FIT and CR considered in present 
work are shown in Table no. 1. The engine responses selected are brake thermal efficiency (BTE), brake specific energy 
consumption (BSEC), smoke opacity (SO) and oxides of nitrogen (NOx) emissions.
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
Details of engine operating parameters and their levels is shown in Table No. 1. 
Design factors Levels 
Injector Opening pressure( bar) 200 220 240 
Fuel injection timing (CA bTDC) 23 25 27 
Compression ratio 17 17.5 18 
Trial No. A (IOP) B (FIT) C ( CR) 
1 200 23 17 
2 200 25 17.5 
3 200 27 18 
4 220 23 17.5 
5 220 25 18 
6 220 27 17 
7 240 23 18 
8 240 25 17 
9 240 27 17.5 
3 
 
Table 1: Levels of engine operating parameters 
3.2 Selection of Orthogonal Array 
1 2 3 
An orthogonal array presents the possible combinations of different levels of engine operating parameters which 
are to be varied to investigate their effect on engine responses with smaller number of experimental trials. Selection of 
orthogonal array depends on total degree of freedom of all engine operating parameters. For every engine parameter the 
degree of freedom is calculated by using following relation 
Degree of freedom for each engine operating parameter = (L-1) [6], 
Where, L is the number of levels of each engine operating parameter 
Total degree of freedom of all engine operating parameters, 
N = (L-1)*P where. P= number of engine operating parameters 
The OA must be selected such that, the number of trails in the selected orthogonal array (OA) must be equal to 
the N+1[7]. 
As minimum number of trials to be conducted as per above relation is 7, an orthogonal array L9 (33) containing 
9 trials has been selected in present investigation. The orthogonal array with different combinations of engine operating 
parameters is shown in table 2. 
Table 2: Details of combinations of engine operating parameters as per OA, L9. 
3.3 Grey Relational Analysis of Experimental Data 
The experiments are conducted as per the plan of L9 orthogonal array and the details of engine output responses for 
BHO-70 are shown in table 3. 
Table 3: Details of Engine responses for different trials 
Trial No. BTE (%) 
BSEC (MJ/Kw-h) SO (%) NOx (ppm) 
1 22.74 15.83 52 280 
2 25.22 14.27 42 350 
3 26.9 13.38 37 390 
4 26.2 13.74 40 370 
5 27.3 13.19 41 380 
6 25.5 14.12 47 300 
7 26.8 13.43 45 355 
8 24.1 14.94 50 290 
9 26.6 13.53 47 362
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
− 
( ) min ( ) 
ai k ai k 
ai k ai k 
D + y 
D 
min max 
D + D 
4 
 
From these experimental results, the normalized data and grey relational coefficient for every engine response 
are calculated. 
The normalized data for minimized responses like BSEC, NOx and SO corresponding to lower the better criteria 
is calculated using 
xi (k) = 
− 
max ai ( k ) ai ( k 
) 
− 
max ai ( k ) min ai ( k 
) 
Normalised data for maximised response like brake BTE corresponding to higher-the-better is calculated by 
xi(k)= 
− 
max ( ) min ( ) 
Where xi(k) is the normalised value of i-th response for k-th trial after the grey relational generation, ai(k) is the 
value of i-th response for k-th trial, min ai(k) is the smallest value of ai(k) , and the max ai(k) is the largest value of 
the ai(k) [8]. 
The grey relational coefficient i (k) for every response at every trial is calculated by using relation 
i (k) = 
y 
( ) max 
oi k 
where, 
i(k)=grey relational coefficient, oi = xo(k) − xi(k) =difference of between ideal normalised value xo(k) ( i.e. 1) 
and xi(k) (normalised value of i-th response for k-th trial) [7]. min and max are the minimum and maximum values of the 
oi of all trials. y is a distinguishing coefficient, 0y 1[8]. 
Grey relational co-efficient for BTE, BSEC, NOx and SO at every trial are calculated and shown in table no.4. 
After calculating the grey relational coefficients, by selecting appropriate weighting factor bi for every engine 
response (can be specified from experience and are given in table no. 5.), the grey relational grade k for every trial is 
calculated by using following relation and values of grey relational grade as shown in table 6. 
n 
k =  
= 
k 
i k i 
1 
x ( )b 
Where, bi = 1 and n- number of engine responses and xi(k) is grey relational coefficient 
Table 4: Grey relational coefficient for engine output responses 
Trial No. BTE BSEC SO NOx 
1 0.33333 0.33333 0.333 1 
2 0.52293 0.54867 0.6 0.44 
3 0.85074 0.87084 1 0.33333 
4 0.67455 0.70484 0.714 0.37931 
5 1 1 0.652 0.35483 
6 0.55882 0.58684 0.429 0.73333 
7 0.82014 0.84311 0.484 0.42307 
8 0.41605 0.43023 0.366 0.84615 
9 0.76510 0.79210 0.429 0.40145
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
5 
 
Table 5: Weighting factors for engine responses 
Table 6: Grey relational grade and S/N ratio 
Then average grey relational grade for every level of engine operating parameter is calculated by averaging the 
values of grey relational grade for trials with given level of engine parameter. 
Higher value of grey relational grade is considered as the stronger relational degree between the ideal level of 
engine operating parameter and the given level of operating parameter. Thus, the higher relational grade implies that the 
corresponding engine parameter combination is closer to the optimal. The grey relation grade with weighting factor is 
analyzed by S/N ratio. The S/N ratio is selected as larger the better since the higher value of grey relational grade shows 
the closeness of ideal and the given combination of engine parameters [8]. 
The Signal to Noise ratios (S/N) 
For system responses Smaller-The-Better: 
S/N = -10 Log10 [mean of sum of squares of measured data] 
This type of S/N ratio is chosen for undesirable system outputs like emissions, fuel consumption, etc. for which 
ideal value is zero. 
For system responses Larger-The-Better: 
S/N = -10 Log10 [mean of sum squares of reciprocal of measured data] 
This case has been converted to smaller-the-better by taking the reciprocal of measured data and then taking the 
S/N ratio as in the smaller-the-better case. 
An average grey relational grade and average signal to noise ratio for each engine parameter is shown in Fig. 1 
and Fig. 2 respectively. 
Response factor Weighting factor 
BTE 0.5 
BSFC 0.1 
SO 0.3 
NOx 0.1 
Trial. No. Grey relational Grade S/N Ratio 
1 0.4 -7.958800173 
2 0.54033541 -5.346731415 
3 0.84579115 -1.45473727 
4 0.659979811 -3.609386989 
5 0.831136045 -1.606557654 
6 0.54000112 -5.352106794 
7 0.68185254 -3.326190743 
8 0.445424263 -7.024522602 
9 0.630477843 -4.006603429 
Average 0.619444242 -7.958800173
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
o 
 
= 
= + − 
gopt gmean gol gmean 
o 
 
= 
= + − 
OPT T Xi T [7] 
6 
 
Fig. 1: Mean S/N at different engine operating parameters 
Fig. 2: Mean Grey relational Grade at different engine operating parameters 
From above figures, it is observed that the compression ratio has significant effect on engine responses (as the 
slope of mean grey relational grade or S/N ratio is observed to be highest for compression ratio) 
The optimum combination of engine operating parameters is observed to be A2B3C3, i.e. at 220 bar, 27° bTDC 
and 18 as at these levels highest S/N ratio or mean grey relational grade is observed 
The S/N ratio or grey relation grade at optimum level of process parameters can be calculated as: 
( ) 
1 
i 
Where gopt is the mean S/N ratio or mean grey relation grade for optimum combination of engine parameters, 
gmean is the mean of the grey relation grade for all trials, gol is the value of mean grey relation grade at optimum 
level of each engine operating parameter and o is the number of the engine parameters that affect the engine responses. 
Table 7 shows Comparison of grey relational grade and S/N ratio of initial condn with optimum condn. 
The values of engine responses at optimum combination of engine operating parameters are calculated by 
( ) 
1 
i 
Where, T is the overall mean value of the output response variable for the test runs conducted and Xi – mean of the 
engine response for the trials with optimum level of the engine operating parameter X.
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
Initial Parameter 
Combination 
Level A1B1C2 A2B3C3 
Grey relational Grade 0.610264 0.896500 0.8956 
S/N ratio -4.289639 -0.9489 -0.957 
Value of the response variables 
Initial Condition Predicted 
(T-G ) 
1 BTE 24.6 28.34 26.85 
2 BSEC 14.63 12.51 13.40 
3 SO 46 38.22 39 
4 NOx 285 391.88 395 
7 
3.4 Confirmation Test 
 
To compare the engine characteristics at optimum combination of engine operating parameters, a confirmation 
test is conducted under similar condition. Table no.8 shows the comparison of engine responses at initial engine settings, 
predicted and experimental responses at optimized conditions. An improvement in engine output response at optimized 
condition of 220 bar-27°bTDC and 18 CR is observed as compared to initial conditions. 
Table 7: Comparison of grey relational grade at initial condition with optimum condition 
Prediction Confirmation Test 
Table 8: Comparison of engine responses at initial engine settings, predicted and experimental responses at 
optimized conditions 
Sl. No Response 
4. CONCLUSION 
variables 
Conf. test 
The Taguchi approach along with grey relational analysis has been used for optimizing the performance of 
diesel engine fuelled with blend of honge oil and ethanol. The CR was found to be the most significant parameter. Based 
on this study, it can be concluded that BTHE, BSEC, and emissions of diesel engine depend upon CR, injector opening 
pressure and fuel injection timing. It is found that a diesel engine operating at a CR –18, pressure 220 bar, IT of 27° 
bTDC, achieves the optimum engine performance. The calculated results are well supported by the findings of 
confirmatory test. 
5. REFERENCES 
[1] 2010 survey of energy resource, world Energy Council, 2010. 
[2] Basic Statistics on Indian Petroleum and Natural Gas Ministry of Petroleum and Natural Gas, Government of 
India, 2010. 
[3] Karnwal, A., Multi- Response Optimization of Diesel Engine Performance Parameters Using Thumba Biodiesel 
–Diesel Blends by Applying the Taguchi Method and Grey Relational Analysis, International Journal of 
Automotive Technology,12(4), 2011, 599-610. 
[4] Maheshwari, N., A Nonlinear Regression Based Multi-Objective Optimization of Parameters Based on 
Experimental Data from an IC Engine Fueled with Biodiesel Blends, Biomass and Bioenergy, 35(5), 2011, 
2171-2183. 
[5] Alonso, J. M., Combining Neural Networks and Genetic Algorithms to Predict and Reduce Diesel Engine 
Emission, IEEE Trans E., 11(1), 2007, 46-55. 
[6] Phillip J. Ross., Taguchi Techniques for Quality Engineering, (McGraw-Hill Book Company New York, 2002). 
[7] S. Kaliamoorthy and Ravikumar Paramasivam, Investigation on performance and emissions of a biodiesel engine 
through optimization techniques, Thermal science, 17(1), 2013, 179-193. 
[8] Ambarish Datta, Optimization of Engine Performance and Emission Characteristics of Variable Compression 
Ratio Diesel Engine Fuelled with Karanja Oil Methyl Ester using Taguchi Method and Grey Relational Analysis, 
Jadavpur university M. Tech. Thesis, 2011.

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Optimization of engine operating parameters

  • 1. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 INTERNATIONAL JOURNAL OF MECHANICAL ENGINEERING 17 – 19, July 2014, Mysore, Karnataka, India AND TECHNOLOGY (IJMET) ISSN 0976 – 6340 (Print) ISSN 0976 – 6359 (Online) Volume 5, Issue 9, September (2014), pp. 01-07 © IAEME: www.iaeme.com/IJMET.asp Journal Impact Factor (2014): 7.5377 (Calculated by GISI) www.jifactor.com 1 IJMET © I A E M E OPTIMIZATION OF ENGINE OPERATING PARAMETERS Nandkishore D.Rao1, Dr. B. Sudheer Prem Kumar2, Dr. C. Srinath3, Chandrashekar Patil4 1Automobile Engg, Guru Nanak Dev Engineering College, Bidar, Mailoor Road- 585403, India 2Mechanical Engg, JNT University College of Engineering, Hyderabad, India 3Govt. Polytechnic for Women, Badang pet, Hyderabad, India 4Mechanical Engg, Guru Nanak Dev Engineering College, Bidar, Mailoor Road, Bidar- 585403, Karnataka, India ABSTRACT This study is aimed at investigating the optimum combination of various engine operating parameters for obtaining highest brake thermal efficiency and lowest emissions of smoke from a single cylinder diesel engine fuelled with Honge oil- ethanol blend. During this work, the experiments are designed using a tool known as design of experiments based on Taguchi and grey relational approaches. Engine operating parameters, namely, injector opening pressure, fuel injection timing and compression ratio are varied at three levels and the responses like brake thermal efficiency, brake specific energy consumption, emissions of oxides of nitrogen and smoke opacity are investigated. A combination of injection pressure of 220 bar, injection timing of 27° before top dead centre and a compression ratio of 18 resulted in highest brake thermal efficiency and lowest smoke opacity. Results of confirmation tests indicated good agreement with predicted quantities. Keywords: Brake thermal efficiency, Design of experiment, Engine operating parameters, Grey relational approach, Honge oil-ethanol blend. 1. INTRODUCTION Energy is very essential for development of any country. With increasing industrialization and explosive growth of vehicular population, the demand for energy is increasing at faster rate. To cater the energy demand, majority of countries import petroleum products from oil rich countries this puts additional financial burden on their economy. In year 2008, world’s total petroleum products resources were about 1238834 million barrels and the demand is estimated to be 122 million barrels per day in 2032 [1-2]. With estimated petroleum reserves and projected demand, it is possible that the petroleum oil may deplete in near future. Among the different petroleum products, consumption of diesel is highest because of widespread use of compression ignition engines for transportation, power plants and agricultural implements, etc. due to their durability, reliability and fuel economy. Combustion of diesel fuel leads to higher CO2 emission which is responsible for global warming. To overcome the problem of depletion of petroleum oil and to reduce the environmental pollution, it is necessary to develop alternative fuels which are renewable, can be prepared locally and can emit low level of emittants to air. Among many alternatives, vegetable oils can be used as fuel for diesel engine due to their properties closer to diesel and can be obtained from crops which ensure energy security. These are clean burning, renewable, non-toxic,
  • 2. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India biodegradable, and environment friendly fuels that can be used in neat form or in blends with petroleum derived in diesel engines. 2 Use of vegetable oils as fuel for diesel engine is known since its very first creation. But use of neat vegetable oils indicates inferior engine performance due to their higher viscosity and lower volatility. To improve the fuel properties, vegetable oils can be preheated, converted to biodiesel, blended with suitable solvents like diesel/alcohol, etc. Preheating of vegetable oil requires additional heating arrangement which adds to the cost of engine. The trans-estrification process (making biodiesel) requires costlier logistical support and skilled workforce. Mixing of vegetable oil with diesel negates the idea of complete replacement of diesel. Blending of vegetable oil with oxygenated solvent like ethanol can be done to reduce the viscosity for improvement of engine performance and to reduce the emissions like hydrocarbon and smoke opacity due to presence of inherent oxygen in it. These blended vegetable oil fuels can be used as complete replacement for diesel as these can be prepared at the site of application without any costlier logistical support and skilled workforce. As the fuel properties like viscosity, specific gravity and calorific value of vegetable oil- ethanol blends are not same as that of diesel, it is essential to study the effect of variation of various engine operating parameters to optimize the engine operation for highest brake thermal efficiency. The progress of combustion process depends on engine design factors like shape and size of combustion chamber, location of nozzle and operating parameters like fuel injection pressure, fuel injection timing, piston to head clearance, number and size of nozzle holes, etc. The design parameters are set at design stage, it is not easy to change the design parameters as per type of fuel used, whereas it is easy to change the operating parameters. To find the optimum combination of above engine operating parameters for highest brake thermal efficiency (BTE) and lowest smoke opacity (SO), “variation in one-factor-at-a time” method requires large number of trials, as there could be many combinations of these parameters. Conduction of experimental investigations with all combinations of engine operating parameters would be time consuming and costly. Hence, some optimization approach can be used for finding suitable combination of engine operating parameters so that engine can work with highest brake thermal efficiency and lowest emissions. The most common optimization techniques which can be used for engine analysis are response surface method, grey relational analysis [3], non-linear regression [4], genetic algorithm [5] and Taguchi method, etc. In present investigation a blend of 70% Honge oil and 30% ethanol is used for operating diesel engine. The Taguchi method along with gray relational analysis are used to study effect of several engine operating parameters simultaneously with only few experiments to find optimum combination of these parameters for highest BTE and lowest emissions. 2 TAGUCHI- GREY RELATIONAL APPROACH The Taguchi with grey relational approach can be applied in following steps. 1. Identification of system output of interest and Selection of levels for the input factors. 2. Selection of appropriate orthogonal array (OA). 3. Conduction of experiments as per combinations of orthogonal array. 4. Normalization of system output values between zero and one and calculation of grey relational coefficient to express relation between actual output values and desired values. 5. Calculation of overall grey relational grade using weightage factors. 6. Identification of level of each input factor with highest grey relation grade and S/N ratio (Signal to noise ratio). 7. Calculation of system output values at optimum combination of input parameters and Verification of responses with confirmatory test under similar condition. 3 OPTIMIZATION OF ENGINE OPERATING PARAMETERS USING TAGUCHI AND GREY RELATIONAL ANALYSIS 3.1 Selection of Engine Operating Parameters and Engine Responses There are various engine operating parameters which affects the engine characteristics. Among those, in present work, IOP, FIT and CR are considered for investigations. The different levels of IOP, FIT and CR considered in present work are shown in Table no. 1. The engine responses selected are brake thermal efficiency (BTE), brake specific energy consumption (BSEC), smoke opacity (SO) and oxides of nitrogen (NOx) emissions.
  • 3. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India Details of engine operating parameters and their levels is shown in Table No. 1. Design factors Levels Injector Opening pressure( bar) 200 220 240 Fuel injection timing (CA bTDC) 23 25 27 Compression ratio 17 17.5 18 Trial No. A (IOP) B (FIT) C ( CR) 1 200 23 17 2 200 25 17.5 3 200 27 18 4 220 23 17.5 5 220 25 18 6 220 27 17 7 240 23 18 8 240 25 17 9 240 27 17.5 3 Table 1: Levels of engine operating parameters 3.2 Selection of Orthogonal Array 1 2 3 An orthogonal array presents the possible combinations of different levels of engine operating parameters which are to be varied to investigate their effect on engine responses with smaller number of experimental trials. Selection of orthogonal array depends on total degree of freedom of all engine operating parameters. For every engine parameter the degree of freedom is calculated by using following relation Degree of freedom for each engine operating parameter = (L-1) [6], Where, L is the number of levels of each engine operating parameter Total degree of freedom of all engine operating parameters, N = (L-1)*P where. P= number of engine operating parameters The OA must be selected such that, the number of trails in the selected orthogonal array (OA) must be equal to the N+1[7]. As minimum number of trials to be conducted as per above relation is 7, an orthogonal array L9 (33) containing 9 trials has been selected in present investigation. The orthogonal array with different combinations of engine operating parameters is shown in table 2. Table 2: Details of combinations of engine operating parameters as per OA, L9. 3.3 Grey Relational Analysis of Experimental Data The experiments are conducted as per the plan of L9 orthogonal array and the details of engine output responses for BHO-70 are shown in table 3. Table 3: Details of Engine responses for different trials Trial No. BTE (%) BSEC (MJ/Kw-h) SO (%) NOx (ppm) 1 22.74 15.83 52 280 2 25.22 14.27 42 350 3 26.9 13.38 37 390 4 26.2 13.74 40 370 5 27.3 13.19 41 380 6 25.5 14.12 47 300 7 26.8 13.43 45 355 8 24.1 14.94 50 290 9 26.6 13.53 47 362
  • 4. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India − ( ) min ( ) ai k ai k ai k ai k D + y D min max D + D 4 From these experimental results, the normalized data and grey relational coefficient for every engine response are calculated. The normalized data for minimized responses like BSEC, NOx and SO corresponding to lower the better criteria is calculated using xi (k) = − max ai ( k ) ai ( k ) − max ai ( k ) min ai ( k ) Normalised data for maximised response like brake BTE corresponding to higher-the-better is calculated by xi(k)= − max ( ) min ( ) Where xi(k) is the normalised value of i-th response for k-th trial after the grey relational generation, ai(k) is the value of i-th response for k-th trial, min ai(k) is the smallest value of ai(k) , and the max ai(k) is the largest value of the ai(k) [8]. The grey relational coefficient i (k) for every response at every trial is calculated by using relation i (k) = y ( ) max oi k where, i(k)=grey relational coefficient, oi = xo(k) − xi(k) =difference of between ideal normalised value xo(k) ( i.e. 1) and xi(k) (normalised value of i-th response for k-th trial) [7]. min and max are the minimum and maximum values of the oi of all trials. y is a distinguishing coefficient, 0y 1[8]. Grey relational co-efficient for BTE, BSEC, NOx and SO at every trial are calculated and shown in table no.4. After calculating the grey relational coefficients, by selecting appropriate weighting factor bi for every engine response (can be specified from experience and are given in table no. 5.), the grey relational grade k for every trial is calculated by using following relation and values of grey relational grade as shown in table 6. n k = = k i k i 1 x ( )b Where, bi = 1 and n- number of engine responses and xi(k) is grey relational coefficient Table 4: Grey relational coefficient for engine output responses Trial No. BTE BSEC SO NOx 1 0.33333 0.33333 0.333 1 2 0.52293 0.54867 0.6 0.44 3 0.85074 0.87084 1 0.33333 4 0.67455 0.70484 0.714 0.37931 5 1 1 0.652 0.35483 6 0.55882 0.58684 0.429 0.73333 7 0.82014 0.84311 0.484 0.42307 8 0.41605 0.43023 0.366 0.84615 9 0.76510 0.79210 0.429 0.40145
  • 5. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India 5 Table 5: Weighting factors for engine responses Table 6: Grey relational grade and S/N ratio Then average grey relational grade for every level of engine operating parameter is calculated by averaging the values of grey relational grade for trials with given level of engine parameter. Higher value of grey relational grade is considered as the stronger relational degree between the ideal level of engine operating parameter and the given level of operating parameter. Thus, the higher relational grade implies that the corresponding engine parameter combination is closer to the optimal. The grey relation grade with weighting factor is analyzed by S/N ratio. The S/N ratio is selected as larger the better since the higher value of grey relational grade shows the closeness of ideal and the given combination of engine parameters [8]. The Signal to Noise ratios (S/N) For system responses Smaller-The-Better: S/N = -10 Log10 [mean of sum of squares of measured data] This type of S/N ratio is chosen for undesirable system outputs like emissions, fuel consumption, etc. for which ideal value is zero. For system responses Larger-The-Better: S/N = -10 Log10 [mean of sum squares of reciprocal of measured data] This case has been converted to smaller-the-better by taking the reciprocal of measured data and then taking the S/N ratio as in the smaller-the-better case. An average grey relational grade and average signal to noise ratio for each engine parameter is shown in Fig. 1 and Fig. 2 respectively. Response factor Weighting factor BTE 0.5 BSFC 0.1 SO 0.3 NOx 0.1 Trial. No. Grey relational Grade S/N Ratio 1 0.4 -7.958800173 2 0.54033541 -5.346731415 3 0.84579115 -1.45473727 4 0.659979811 -3.609386989 5 0.831136045 -1.606557654 6 0.54000112 -5.352106794 7 0.68185254 -3.326190743 8 0.445424263 -7.024522602 9 0.630477843 -4.006603429 Average 0.619444242 -7.958800173
  • 6. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India o = = + − gopt gmean gol gmean o = = + − OPT T Xi T [7] 6 Fig. 1: Mean S/N at different engine operating parameters Fig. 2: Mean Grey relational Grade at different engine operating parameters From above figures, it is observed that the compression ratio has significant effect on engine responses (as the slope of mean grey relational grade or S/N ratio is observed to be highest for compression ratio) The optimum combination of engine operating parameters is observed to be A2B3C3, i.e. at 220 bar, 27° bTDC and 18 as at these levels highest S/N ratio or mean grey relational grade is observed The S/N ratio or grey relation grade at optimum level of process parameters can be calculated as: ( ) 1 i Where gopt is the mean S/N ratio or mean grey relation grade for optimum combination of engine parameters, gmean is the mean of the grey relation grade for all trials, gol is the value of mean grey relation grade at optimum level of each engine operating parameter and o is the number of the engine parameters that affect the engine responses. Table 7 shows Comparison of grey relational grade and S/N ratio of initial condn with optimum condn. The values of engine responses at optimum combination of engine operating parameters are calculated by ( ) 1 i Where, T is the overall mean value of the output response variable for the test runs conducted and Xi – mean of the engine response for the trials with optimum level of the engine operating parameter X.
  • 7. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India Initial Parameter Combination Level A1B1C2 A2B3C3 Grey relational Grade 0.610264 0.896500 0.8956 S/N ratio -4.289639 -0.9489 -0.957 Value of the response variables Initial Condition Predicted (T-G ) 1 BTE 24.6 28.34 26.85 2 BSEC 14.63 12.51 13.40 3 SO 46 38.22 39 4 NOx 285 391.88 395 7 3.4 Confirmation Test To compare the engine characteristics at optimum combination of engine operating parameters, a confirmation test is conducted under similar condition. Table no.8 shows the comparison of engine responses at initial engine settings, predicted and experimental responses at optimized conditions. An improvement in engine output response at optimized condition of 220 bar-27°bTDC and 18 CR is observed as compared to initial conditions. Table 7: Comparison of grey relational grade at initial condition with optimum condition Prediction Confirmation Test Table 8: Comparison of engine responses at initial engine settings, predicted and experimental responses at optimized conditions Sl. No Response 4. CONCLUSION variables Conf. test The Taguchi approach along with grey relational analysis has been used for optimizing the performance of diesel engine fuelled with blend of honge oil and ethanol. The CR was found to be the most significant parameter. Based on this study, it can be concluded that BTHE, BSEC, and emissions of diesel engine depend upon CR, injector opening pressure and fuel injection timing. It is found that a diesel engine operating at a CR –18, pressure 220 bar, IT of 27° bTDC, achieves the optimum engine performance. The calculated results are well supported by the findings of confirmatory test. 5. REFERENCES [1] 2010 survey of energy resource, world Energy Council, 2010. [2] Basic Statistics on Indian Petroleum and Natural Gas Ministry of Petroleum and Natural Gas, Government of India, 2010. [3] Karnwal, A., Multi- Response Optimization of Diesel Engine Performance Parameters Using Thumba Biodiesel –Diesel Blends by Applying the Taguchi Method and Grey Relational Analysis, International Journal of Automotive Technology,12(4), 2011, 599-610. [4] Maheshwari, N., A Nonlinear Regression Based Multi-Objective Optimization of Parameters Based on Experimental Data from an IC Engine Fueled with Biodiesel Blends, Biomass and Bioenergy, 35(5), 2011, 2171-2183. [5] Alonso, J. M., Combining Neural Networks and Genetic Algorithms to Predict and Reduce Diesel Engine Emission, IEEE Trans E., 11(1), 2007, 46-55. [6] Phillip J. Ross., Taguchi Techniques for Quality Engineering, (McGraw-Hill Book Company New York, 2002). [7] S. Kaliamoorthy and Ravikumar Paramasivam, Investigation on performance and emissions of a biodiesel engine through optimization techniques, Thermal science, 17(1), 2013, 179-193. [8] Ambarish Datta, Optimization of Engine Performance and Emission Characteristics of Variable Compression Ratio Diesel Engine Fuelled with Karanja Oil Methyl Ester using Taguchi Method and Grey Relational Analysis, Jadavpur university M. Tech. Thesis, 2011.