design of experiment (doe)
TRANSCRIPT
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Design of Experiment
By
Sunil Kumar Kumawat
120100042
ME Department
Planning and Analysation of
the Measured Data
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Planning the Experiment
> We have to plan the experiment to maximize theintensity of LED light output “I”.
> LED light output “I” would depend on
the voltage”E” being applied, the
resistance “R” used in the circuit, the
color of the LED light “C” and
film “F” being used through which
the light should go through.
> We would like to determine the function I(E, R, C, F)
> From the given set of values “E”, “R”, “C” and “F” thebest combination is needed to be found for themaximum intensity “I”.
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Design of Experiment
ControlFactors
And
Levels
Voltage ofCell “E”
Resistance“R”
LED Colour“C”
Film“M”
1 3 V 5 k ohm Blue Transparent2 6 V 2.5 k ohm Red Red sheet
3 9 V 10 k ohm Green Blue sheet
Identify Control Factors:> Let us take 3 values each for “E”, “R”, “C” and “F”, as shown in
the table below
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Design of Experiment
Identify NOISE Factors• Identify a NOISE factor that can affect the measured output, but
we have no control over it (say from 1 day to another)
• we can take “No. of Tube Lights in room” as Noise Factor as it will
affect the Intensity of Led light• Allow it to take 3 values as “0 tube light, 1 tube light and 2 tube
light”
NOISE Factor and Levels No. of tube light in room “L”
Level 1 0
Level 2 1
Level 3 2
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Prepare for Experiments
Create 3 values of “E” : “Cell” of (3, 6, 9) V
Create 3 values of “R” : “Resister” of (5, 2.5, 10) k ohm
Create 3 values of “C” : “Colour of LED” of (Blue, Red, Green)
Create 3 values of “F” : “Film” of (Transparent, Red, Blue)
Prepare for Measurements:
● We used the rectangular-sized pieces of paper toquantify the intensity of LED light output.
● The intensity of the LED light output has been relativelygiven value equal to the number of pieces of paperthrough which the light did pass through as seen fromnaked eye.
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Design of Experiment • STEP 5 : Select Orthogonal Array L9
| | Control Factors | | Noise Factors & | |
| | “I” Measured | |Obj. Func.|
Expt
No.
E R C F NZ1Measure
I1
NZ2Measure
I2
NZ3Measure
I3
CALCULATE
η
1 1 1 1 1 5 4 3 4
2 1 2 2 2 5 4 3 4
3 1 3 3 3 4 3 2 3
4 2 1 2 3 5 4 3 4
5 2 2 3 1 8 7 7 7.33
6 2 3 1 2 3 2 1 2
7 3 1 3 2 4 3 1 2.67
8 3 2 1 3 11 9 7 9
9 3 3 2 1 7 6 5 6
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Design of Experiment Select Orthogonal Array L9
| | Control Factors | | “I” Measured | Obj. Func.|
Expt
No.
E R C F 0 1 2 Obj. Func.
1 3V 5 k ohm Blue Transparent 5 4 3 42 3V 2.5 k ohm Red Red sheet 5 4 3 4
3 3V 10 k ohm Green Blue sheet 4 3 2 3
4 6V 5 k ohm Red Blue sheet 5 4 3 4
5 6V 2.5 k ohm Green Transparent 8 7 7 7.33
6 6V 10 k ohm Blue Red sheet 3 2 1 2
7 9V 5 k ohm Green Red sheet 4 3 1 2.67
8 9V 2.5 k ohm Blue Blue sheet 11 9 7 9
9 9V 10 k ohm Red Transparent 7 6 5 6
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Collection of the data • Conduct the 9 experiments and collect the data
shown in the previous slide.
• ALL 9 rows are filled with data and obj. func. is taken
as the mean of 3 readings of “I” in each row
(dummy data for obj. func. are given in last column oftable on previous page to demonstrate a sample
analysis)
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Analyse the data: Calculation Factor
Effectslevel of control
factors
Obj. Func. Obj. Func. Obj. Func. Factor effect
Voltage : 3V 4 4 3 3.67
6 V 4 7.33 2 4.44
9V 2.67 9 6 5.89
Resistance : 5 k ohm 4 4 2.67 3.892.5 k ohm 4 7.33 9 6.67
10 k ohm 3 2 6 3.67
Colour of LED: Blue 4 2 9 5
Red 4 4 6 4.67
Green 3 7.33 2.67 4.33
Colour of the film:
Transparent4 7.33 6 5.78
Red 4 2 2.67 2.89
Blue 3 4 9 5.33
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Control Factor Levels
0
1
2
3
4
5
6
7
8
Series1
Series2
Factor Effect Plot for LED LIGHT INTENSITY "I"
S / N R
a t i o
( L A R
G E R - t h e - b e t t e r
)
3.67
Ov meam4.67
5.89
4.44
3.67
k k k
3.89
6.67
5
4.33
5.78
2.89
5.33
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Best settings and Best result
From the PLOT
• best settings are E = 9V, R = 2.5 k ohm, C = blue and F =
Transparent
•best result = Ov. mean m + {m(E=9) – m } + {m(R=2.5) – m } +{m(C = blue) – m } + {m(F = Transparent ) – m }
• best result = 4.67 + {5.89-4.67} + {6.67-4.67} + {5-4.67} +
{5.78-4.67}
• best result = 4.67 + 1.22 + 2 + 0.33 + 1.11
• best result = 9.33 (while max of 9 rows = 9)
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confirmation experiment• For E = 9V, R = 2.5 k ohm, C = blue and F = Transparent
• Intensity of LED Light “I” = (11 + 9 + 8) /3
>> “I” = 9.33 which is closely match “Predicted best result=9.33”
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3V, 5 k ohm, Blue, Transparent
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3V, 2.5 k ohm, Red, Red sheet
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3V, 10 k ohm, Green, Blue sheet
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6V, 5 k ohm, Red, Blue sheet
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6V, 2.5 k ohm, Green, Transparent
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6V, 10 k ohm, Blue, Red sheet
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9V, 5 k ohm, Green, Red sheet
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9V, 2.5 k ohm, Blue, Blue sheet
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9V, 10 k ohm, Red, Transparent
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