APPENDIX A
 
 
 
 


 
 

Figure A.1: Elevation and plan views of Magneform cabinet variations showing dimensions and energy storage capabilities.
 
 
 


 
 

Figure A.2 Functional block diagram of the 7000 Series Magneform machine
 
 
 


 
 

Table A.1: 7000 series Magneform specifications.
 
 


 
Figure A.3: Interior of the capacitor bank compartment showing ignitron/resistor details

 


 
 

Figure A.4: Interior of the capacitor bank compartment of a bus Magneform machine.
 
 


 
 

Figure A.5: Array camera discription.
 
 
 

Optimum conductor due =.784 centered in hole eccentric mounting or different diameter of conductor reduces the max. electrical potential that coil can see from conductor ( Max Voltage 30 KV in air)
 
 

Figure A.6: Pearson current monitor discription.
 
 

Figure A.7: The Rowgowski coil is uniform helix around the unknown current.
 
 

Figure A.8: Rogowski coil based on co-axial cable core. (a) Core for return path; (b) insulation stripped of braid; (c) cut threads for location (d)helix laid into threads.
 
 
 
 
 

Figure A.9: Schematic for Rogowski "Worm" Coil



 
 
 

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APPENDIX B



 
 
 
 

Alloy Si Fe Cu Mn Mg Cr Zn Ti V Each Total Aluminum
6111-T4 0.6-1.1 0.40 0.50-0.9 0.10-.45 .50-1.0 0.10 0.15 0.10   0.05 0.15 Remainder
5754 0.4 0.4 0.1 0.5 2.6-3.6 0.3 0.2 0.15       Remainder

Table B.1: Chemical Compositions of 6111-T4 and 5754-0



 
 
 
 
 

Alloy/

Temper

Ultimate Strength (KSI)
Yield Strength (KSI)
Total Elongation

(%)

Uniform Elongation

(%)

n
R
6111-T4
41
24
25
23
0.226
0.717
5754-0
31.9
14.5
27
     

Table B.2: Coupon material, average mechanical properties, (uniaxial)
 
 
 
 
 


 
 

Figure B.1: Forming limit series for 6111-T4 and 5754-0 from ALCAN Corp.
 
 


 
 

Table B.3: Summary plane strain limits, 5754-0
 
 
 

Table B.4: Constitutive model parameters, GM data base 5754-0
 
 


 
 

Figure B.2: 5754 stress strain from G.M. data base
 
 
 
 


 
 

Figure B.3 5754-0 stress-strain plot from G.M. data base


 
 

Figure B.4: 5754 stress-strain plot from G.M. data base
 
 
 

Figure B.5: Coupon material stress-strain plot
 
 
 

Figure B.6: 6111-T4 coupon material stress-strain plot
 
 
 
 
 


 
 
 
 
 
 

Strains 6111-T4 Coupons ,Fractional Factorial Fit Two Level, Half Fraction

All Terms and 2-way Interactions

Estimated Effects and Coefficients for mxGstr

Term Effect Coef Std Coef t-value P
Constant 0.40312 0.002724 147.97 0.000 0.000
Energy 0.01625 0.00813 0.002724 2.98 0.018
GrnDir -0.02875 -0.01437 0.002724 -5.28 0.000
Pstrain 0.09875 0.04937 0.002724 18.12 0.000
Foil 0.03375 0.01687 0.002724 6.19 0.000
Energy*GrnDir 0.03125 0.01562 0.002724 5.74 0.000
Energy*Pstrain -.04125 0.02062 0.002724 -7.57 0.000
Energy*Foil -0.02625 -0.01312 0.002724 -4.82 0.000

Analysis of Variance for mxGstr

Source DF Seq SS Adj SS AdjMS F P
Main Effects 4 0.0479250 0.0479250 0.0119812 100.89 0.000
2-Way Interactions 3 0.0134687 0.0134687 0.0044896 37.81 0.000
Residual Error 8 0.0009500 0.0009500 0.0001187
Pure Error 8 0.0009500 0.0009500 0.0001188
Total 15 0.0623437

Table B.5: 6111-T4 coupons, full model results
 
 
 
 
 
 
 
 
 

6111-T4 Coupons , Fractional Factorial Fit , Reduced Model;

Energy, Prestrain, Foil and Energy*Prestrain Terms Only

Estimated Effects and Coefficients for mxGstr

Term Effect Coef Std Coef t-value P
Constant 0.403 12 0.007876 51.18 0.000
Energy 0.01625 0.00813 0.007876 1.03 0.324
Pstrain 0.09875 0.04937 0.007876 6.27 0.000
Foil 0.03375 0.01687 0.007876 2.14 0.055
Energy*Pstrain -0.04125 -0.02062 0.007876 -2.62 0.024

Analysis of Variance for mxGstr

Source DF Seq SS Adj SS Adj MS F P
Main Effects 3 0.0446187 0.0446187 0.0148729 14.98 0.000
2-WayInteractions 1 0.0068062 0.0068062 0.0068062 6.86 0.024
Residual Error 11 0.0109187 0.0109187 0.0009926
Lack of Fit 3 0.0099687 0.0099687 0.0033229 7.98 0.000
Pure Error 8 0.0009500 0.0009500 0.0001188
Total 15 0.0623437

Table B.6: 6111-T4 coupons reduced model results
 
 
 
 
 
 
 
 
 

5754 Coupons ,Fractional Factorial Fit ,Two Level, Half Fraction

All Terms and 2-way Interactions

Estimated Effects and Coefficients for mxg5str:

Term Effect Coef Std Coef t-value P
Constant 0.49937 0.002577 193.79 0.000
Energy 0.05625 0.02813 0.002577 10.91 0.000
GrnDir 0.00375 0.00188 0.002577 0.73 0.488
Pstrain 0.07625 0.03813 0.002577 14.79 0.000
Foil 0.05375 0.02687 0.002577 10.43 0.000
Energy*GrnDir -0.02375 -0.01188 0.002577 -4.61 0.000
Energy*Pstrain -0.00625 -0.00312 0.002577 -1.21 0.260
Energy*Foil -0.00875 -0.00438 0.002577 -1.70 0.128

Analysis of Variance for mxg5str

Source DF Seq SS Adj SS Adj MS F P
Main Effects  0.0475250 0.0475250 0.0118812 111.82 0.000
2-Way Interactions 3 0.0027188 0.0027188 0.0009063 8.53 0.007
Residual Error 8 0.0008500 0.0008500 0.0001062
Pure Error 8 0.0008500 0.0008500 0.0001063
Total 15 0.0510937

Unusual Observations for mxg5str

Obs. mxg5str Fit Stdev.Fit Residual St.Resid
7 0.510000 0.495000 0.007289 0.015000 2.06R
15 0.480000 0.495000 0.007289 -0.015000 -2.06R

R denotes an obs. with a large st. resid.
 
 

Table B.7: 5754-0 coupons, full model results
 
 
 
 
 


 
 

Figure B.7: 6111-T4 coupons full model Nscore plot
 
 
 
 
 


 

Figure B.8: 5754-0 coupons, full model Nscore plot
 
 
 
 
 
 
 
 

5754 Coupons, Fractional Factorial Fit Reduced Model;

Energy, Prestrain and Foil Terms Only

Estimated Effects and Coefficients for mxg5str

Term Effect Coef Std Coef t-value P
Constant 0.49937 0.004345 114.93 0.000
Energy 0.05625 0.02813 0.004345 6.47 0.000
Pstrain 0.07625 0.03813 0.004345 8.77 0.000
Foil 0.05375 0.02687 0.004345 6.19 0.000

Analysis of Variance for mxg5str

Source DF Seq SS Adj SS Adj MS F P
Main Effects 3 0.0474687 0.0474687 0.0158229 52.38 0.000
Residual Error 12 0.0036250 0.0036250 0.0003021
Lack of Fit 4 0.0027750 0.0027750 0.0006938 6.53 .012
Pure Error 8 0.0008500 0.0008500 0.0001063
Total 15 0.0510937

Table B.9: 5754-0 coupons reduced model
 
 
 
 
 
 
 

SPECIMEN #1

2 Bar Narrow

INDUCTANCE (uH)
Spacing*
Frequency KHZ
.020"
.040"
.080"
infinity**
5
.1
.1
.1
.3
6
.1
.1
.1
.3
7
.09
.10
.11
.30
8
.09
.10
.11
.30
9
.09
.09
.11
.29
10
.08
.09
.10
.28
11
.08
.09
.10
.28
12
.08
.08
.10
.27
13
.08
.08
.09
.27
14
.07
.08
.09
.26
15
.07
.08
.09
.26
16
.07
.08
.09
.26
17
.07
.08
.09
.25
18
.07
.07
.09
.25
19
.07
.07
.08
.25
20
.07
.07
.08
.25
* Conductor Face-to-distance

** No Secondary Conductor

Table B.10: Coil mock-up inductances
 
SPECIMEN #2

3 Bar Wide


INDUCTANCE (uH)
Spacing*
Frequency KHZ
.020"
.040"
.080"
infinity**
5
.1
.1
.1
.3
6
.1
.1
.1
.3
7
.07
.08
.10
.25
8
.06
.07
.10
.24
9
.06
.07
.09
.24
10
.06
.06
.09
.23
11
.05
.06
.09
.23
12
.05
.06
.08
.23
13
.05
.06
.08
.23
14
.05
..05
.08
.23
15
.05
.05
.08
.23
16
.04
.05
.08
.23
17
.04
.05
.07
.23
18
.04
.05
.07
.22
19
.04
.05
.07
.22
20
.04
.05
.07
.22
* Conductor Face-to-distance

** No Secondary Conductor


Figure B.11: coil mock-up inductances

 
 

SPECIMEN #3

3 Bar Narrow


INDUCTANCE (uH)
Spacing*
Frequency KHZ
.020"
.040"
.080"
infinity**
5
.1
.2
.2
.4
6
.1
.1
.2
.3
7
.11
.13
.16
.32
8
.10
.12
.16
.31
9
.10
.12
.15
.30
10
.10
.11
.15
.30
11
.09
.11
.14
.30
12
.09
.10
.14
.29
13
.09
.10
.13
.29
14
.08
.10
.13
.28
15
.08
.10
.13
.28
16
.08
.10
.13
.27
17
.08
.09
.12
.27
18
.08
.09
.12
.26
19
.07
.09
.12
.25
20
.07
.09
.12
.24
* Conducter Face-to-distance

** No Secondaty Conductor

Table B.12: coil mock-up inductances
 
 
 
 
 
 

SPECIMEN #4

3 Turn Wide


INDUCTANCE (uH)
Spacing*
Frequency KHZ
.020"
.040"
.080"
infinity**
5
.7
.9
1.1
4.5
6
.6
.8
1.0
4.5
7
.61
.80
1.01
4.47
8
.59
.78
.99
4.44
9
.57
.76
.97
4.42
10
.56
.75
.96
4.40
11
.55
.74
.95
4.39
12
.54
.73
.94
4.37
13
.53
.72
.93
4.36
14
.52
.71
.92
4.35
15
.52
.70
.91
4.34
16
.51
.70
.91
4.33
17
.50
.69
.90
4.32
18
.50
.68
.90
4.32
19
.49
.68
.89
4.31
20
.49
.68
.89
4.30
* Conducter Face-to-distance

** No Secondaty Conductor


Table B.13: Coil mock up inductances
 
 
 
 
 
 
 
 

SPECIMEN #5

2 Turn Wide


INDUCTANCE (uH)
Spacing*
Frequency KHZ
.020"
.040"
.080"
infinity**
5
.6
.7
.7
2.2
6
.5
.6
.7
2.1
7
.52
.61
.68
2.12
8
.50
.60
.66
2.11
9
.49
.58
.65
2.10
10
.48
.57
.64
2.09
11
.47
.56
.63
2.08
12
.46
.55
.62
2.07
13
.45
.55
.61
2.07
14
.44
.54
.61
2.06
15
.44
.53
.60
2.06
16
.43
.53
.59
2.05
17
.43
.52
.59
2.05
18
.42
.52
.59
2.04
19
.42
.51
.58
2.04
20
.41
.51
.58
2.04
* Conducter Face-to-distance

** No Secondaty Conductor


Table B.14: Coil mock-up inductances
 
 
 
 
 
 
 

SPECIMEN #6

4 Turn Wide


INDUCTANCE (uH)
Spacing*
Frequency KHZ
.020"
.040"
.080"
infinity**
5
1.3
1.5
1.9
9
6
1.3
1.5
1.8
8.9
7
1.22
1.44
1.79
8.90
8
1.19
1.40
1.76
8.87
9
1.16
1.37
1.73
8.84
10
1.14
1.35
1.71
8.82
11
1.12
1.33
1.69
8.79
12
1.09
1.31
1.67
8.76
13
1.08
1.29
1.65
8.75
14
1.06
1.28
1.64
8.73
15
1.05
1.27
1.63
8.72
16
1.04
1.25
1.61
8.70
17
1.03
1.24
1.61
8.69
18
1.02
1.23
1.59
8.68
19
1.01
1.22
1.59
8.67
20
1.00
1.21
1.58
8.66
* Conducter Face-to-distance

** No Secondaty Conductor


Table B.15: coil mock-up inductances
 
 
 
 
 

SPECIMEN #10


INDUCTANCE (uH)
Spacing*
Frequency KHZ
.020"
.040"
.080"
infinity**
5
.3
.4
.5
2.1
6
.3
.4
.5
2.1
7
.29
.35
.44
2.06
8
.28
.33
.43
2.05
9
.27
.33
.42
2.03
10
.27
.32
.41
2.03
11
.26
.32
.41
2.02
12
.25
.31
.40
2.01
13
.25
.30
.40
2.00
14
.24
.30
.39
2.00
15
.24
.30
.39
2.00
16
.24
.29
.39
1.99
17
.23
.29
.38
1.99
18
.23
.29
.38
1.99
19
.23
.28
.38
1.98
20
.22
.28
.37
1.98
* Conducter Face-to-distance

** No Secondaty Conductor


Table B.16: Coil mock-up inductances
 
 
 

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