la-12482-}jfs april 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0...

33
A d MtigneticFlux Compression LA-12482-}JfS April 1993 Generator Development Issues: A Comparison Coaxial and Disk Generators Maurice G. Sheppard Bruce L. .-reemn I LosAlamos N A T LB AT Los Alamos, Netv Mexico 87545 D W THIS DtXXJfvlENT IS UNLIMITm -$i

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Page 1: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

A dMtigneticFlux Compression

LA-12482-}JfS

April 1993

Generator Development Issues: A Comparison

Coaxial and Disk Generators

Maurice G. SheppardBruce L. .-reemn

I

LosAlamosN A TL B A T

Los Alamos, Netv Mexico 87545

D W THIS DtXXJfvlENT IS UNLIMITm -$i

ABOUT THIS REPORT
This official electronic version was created by scanning the best available paper or microfiche copy of the original report at a 300 dpi resolution. Original color illustrations appear as black and white images. For additional information or comments, contact: Library Without Walls Project Los Alamos National Laboratory Research Library Los Alamos, NM 87544 Phone: (505)667-4448 E-mail: [email protected]
Page 2: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

A M C G D

I A C G

S

ABSTRACT

m c g gc s h h driversp p i

o Ai c c d

e i s e oc a d f

d ss c r e

R i sa a T

c ai s

h a c ea l l c ou a c

i r d

L I

o

g e c g p

c p i

3 s d i a

c r a i

1

Page 3: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

f

uc+

1

2A/B

Page 4: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

lb

.

$“2cu

“3A/l?

Page 5: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

u

x1-zda

0z1-SC3

II1I

Page 6: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

t d e q p( po e

c d ih h p

a

i o ai -e a d p

i s a c p

p r d

d a r a l

p c

s i t T

di l c (2)

p B2/(2po), (3) a d t i

d p f a h

i s g e

a e

s r f d c

e c

s d c a g

c p g d f

S c r a c

a 5 l c

s t

i s d

c g b R

c a

r t q c c s

a e s a i

s d g a c

p p i c

s f a c

a g d

Page 7: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

GC

g c cc d a r A w

d a x 1

o 1 gf a c r a c

< 1 = P = p t aJ= = 1 = m a

p 1 r

p e r a

r es

a i a ~

s p p

t a e

r c a

o o m p c

a v r h

m

h gl I b

r p p

c M p

w

l c e

P C

i

a g h

c c e e

a m a

a a e a

c p a m c

a c

e a i p

s r a s

a r a d g

6

Page 8: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

ee 1

a e e

a s oo nL

e N L

m c s a sc p c r a r a

s m s

i c ha v

A r r a

d m p r

r s T s I

c e

I a v e

a 1 x 4 g v

a a f

i a i

c R a v a

a rs U a i

e o

C e i e

6 v o

e a g a t a

e

R

o r s a c

c i oe s o s

a d

o 8

i s id t

s p s i

a i c e d

s C

7 I

Page 9: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

e T ep s

e x

O

a v R a s

e i A i lH a r m a

v m a v

e t

O a b c e

d r

d c s

o o a 1 x 4

T a a

c (

II

d i

p a p

i i i

c c a i t

i m a i i A

i r a g i a

c

n i a

c i

i c v i

p

i i

s d

g o c r a

i i r a a .

r a s

c a a

a l t c

i i g i

8

Page 10: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

h d a l dc c m

s ro c a s a

i s d r i

g b H a = 5a i 5 c

g i d aa s v

e a s c o

a

I S

i t 1

= . l – + w . l ,

r s d t

s w s

v “ 1 t A t

t g 1 ro, rl, r2

g 0

c

e h e

c af a

v g r r a r2 =

= b E

F i a c a e

e a

a c rO = = A

a m r = rl = r2 – TVg. =

G i

Lg –– P O J ’+ r l n (– r – ,

9

Lg = s e O

a a P a d

Page 11: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

= a l a a =0.23 cm/ps. O a

t O ~ ( r o(3)

a e

d p a

t 8 = + (4)

a p rp

a s d

= v~ot~= (5)

a = s

i a i L1 = A = 1

c a i L1 i

(lj/Io)ide~= (Lq+L,)fL, . (6)

e a

a a r a

i c = s aIf = c

& = + ,

a

Ef =

c

= prWg (rO –

= .

= 3.4 x 105g ,

e a l = 1

c c

m e D e F r f 1 t l o

Page 12: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

f a I ac a 2 2 a

o a s t

i

c g a a

i a rs U oA d a

r

L i

P 1 2 3 4

Wg

et (Ps)ai... 2

ALgL1

“[

E.I!E,

WH~EHEJ; (

30015

16.9030

2.5°65.2282.2616.45

1.0260.14.7039.453.801.91150

52.8634074818700.04

2.73%I

150 20015 20

23.45 26.5130 30

2.5° 1.OO65.22 43.4882,26 66.2116.45 13.24

1.0 0.5172.5 138.04.70 4.0326.40 24.675.68 6.082.86 2.62150 150

52.86 45.32170 417374 918935 23000.06 0.05

5.35% 1.86%

30025

36.9050

2.5°108.70137.1027.42

1.0329.45.71

41.066.096.21250

178.51000220055000.04

3.14%

‘ =b =‘ =d a l a P

c

m i h c

P m

a r

p d s m o

Page 13: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

a ad a h ic e c

d i f i

n a o g Ac a p

e

2 i a db a ~

c a c

e i

a c a a

i c r

r t i

Lg = 2(LI + LZ1 + LZII + Lzv) , (lo)

L1 = . a))/(2z) , (11)

LZ1 = p oln(c/b)/(27r) , (12)

LJ~~ = /Lo(z– y)(ddrl(d/c)/(d– c) – ,

and

LIV = poy. ln(e/c)/(2~) . (14)

s Lg c t

b e f u h g t

d ii a

t

Lt = poW. In(f/e)/(2m) ,

W a c a

p c d

‘ = (%,m/Wet) (16)

— -

Page 14: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

p c At g t

~ – 3 F(X2. Thisa c c

m e m p c

c i t c

d

d a

a A c

p d

a, b, c, d, e rc p s

z 3 a

w = 2 z ( i

a t i

O a

t = ,

w s p c

t s = + t . (18)

p P a a O

= = 28.31 ps am? i,o =

d a i

e c

= + – y – – – C2)/3 , (19)

t t a R

m e

A m a i = NdLg

i = + a a

( =(.LG+L~)/L~ . (20)

R l u a

i 7 e a =

Page 15: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

i a i

c MJ.a 2c c e

c d a = 5 a

D p s a

u a s e a

1 p a o 3 a

0 t c p a pe ni

t

o r i

t i 5 a

2 3 i —

c — a

c N a

e p r p a

p p

a C a

c t a 3

f u c

c o

a d e

a a

f n p

a i

s id a area

F R r a a

5 n n c

s P m 3 c

c r C e

P A a c

p t c p

Page 16: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

c B ra e H e s c

m

P 1 2 3 ~

a (cm)bcd ( c

efA = ~ – exyzW zLgLtLi

= . ~= o

LL = Nd oLt + L1 (xLH)().’75“(~f/~o)ide~10E.IjEf

.

.“

J: ((Ej - Eo)/EH~

510

10.152829301.05

0.5515

19.191.024.04

28.3133.996.8020

300383.724.3912.5511.9529.14150

274.3727

160040000.38

6.14%

510

10.152829301.05

0.5515

19.191.024.04

28.3133.996.8010

150191.914.2110.8713.8019.61150

159.9363799

20000.44

7.02%

5

10.6528.5029.50

300.55

0.5515

19.720.503.82

28.8834.566.9113

195256.410.3719.297.778.06150

116.7486107026700.25

4.06%

612244849501.05

0.5515

28.380.615.06

49.9056.7211.34

20300

567.617.1925.529.80

28.06250537

20004300107000.26

4.74%

‘ = 0.23 = 0.88b = 0.20‘ a 0 a P

Page 17: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

CI

F a c

cc a f a 3

c p i,,d t a

c c ( T c p

1 I g

r e4 i

d i m W = M i

c

i f “

a u t

7 e

4 7

c m : :

c

r c - x

e m e i

r e c - r

c I

b a r e d

e s ~ ( - ~

e I w 1 d

o w i r ‘ i a

c a

c

i l d r

m a v

s m c i

c a c a

i c s r c

p c ! a

m c o

g t c p

Page 18: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

r A t

a r i i a

c o

ig c

p I c ip e h a

e b d i t

a b m i a

r c c e p

!} a c d H

i m n

r o

r i m a

v r ev o lb rd

m d c m i

......, ....

...,...

...

~ ........./...

o 100. 2 3

~-‘ ..:.../.........”.,

”........

..., ”

.,.

. .. ”

. ”

[

,..

...

●& n ●

o 1 2 a

I ii

( A = 1c i( A = 1t i

ii

Page 19: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

II

1

4

3 0c.

i

z 2 @wL

5u

1 0

d .

/

................................................., .. ”

.

1 1

0 1 02 3

E3 i

( A = 1 AJ0 c

c

3 5

3 0

$ 1 5

6 .

0 1 02 3

L r

3 i( A = I

.................................. ...

0 2 3

3 iA = 1

2

6

0

,........

”,..,

.....,..

-...

..........

...,..”””

........

.........

1 1 * -10 1 2 3

3 i?

AL 1

g

1

Page 20: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

2

E

1 .E

~ 1E +,

~ 1 .,

...E

: 8

;8

Cx 4 “ ’

-’1..e , , ,10

0 100. 200. 3

. .

i c( A = 1

1 .

- 1E

<< 1~

g’ 0 .Cc

(s 0 .

0 .

3

2

2

>Cc 1w

&~ 1

5 .

0

1 1 #f

k ..........................................

, , ,0 ; 2 K 3

ef3 i )

A = 1e a

e

r

1 , 8

... .

. .-.

. .. . .

. ,. . . . .

. . . . . . . . . .“ ’............ .cc..-

a s 1

0 1 2 3

R s

3 i( A = 1

Page 21: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

4

5~ 3-

:c; 2 0

~u

~ 1 0

L

0 .

..””.......,

...,..

.......-.....,..

...,..

$“9,..,.......1 1

0 2 3

Ii c

( A =

3

3 0

2 5

6 .

0 .

m 8 1

. . .,.. A

,..

,..

. .. .

. .. .

. .. . .

t 1 n #

o 1 2 3

15. E3 i

d( A =

A cc

1

1

g 1

: acav 8

zc- 4-a3 2

0

r s 1

... ”,

. ”...#.....

..””. ”

.. . .. . .

..””......,..,.........

. ”...”......

s # 1

0 J z 3

L (

14. i7c i

A =t i

ii

I 1 m

... . .

.

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

0 1 2 3

3 iA =

20

Page 22: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

2

1 5

z 5 ..d.C

0 .

, m n

....

, .”, ,’, ,

“ . . . , . . . . , . .

~

1 t a

0 1 02 3

I rp

3 i( A =

1 .E t

1 .E +

1 .E +

~ E +

- 1 .z E +

. Q J n

: 0 0Ex 4

2 0

0 .

.....

........................

...................

..,

0 2 3

i c( A =

‘80”0~1

1

&’x*

$8

cg 4

2

0

i.&

..”.,.........

....,,...

...........

..........

....

. ””...

...........

c i 1 1

0 1 2 3

18.3 i

A = 0.5

g

‘8”00~1

1

1

4

2

0 ~o 1 2 3

e3 i

A =e a

ee

r

Page 23: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

1.2G0

1.000

n

~ 0 . 8 0>

z- 0 . 6 0%; 0 .

C4~ 0 .L

5v

0 .

..........

........‘ ....,

\

... ... ,““”’.........................

o 2 3

R s

3 i( A =

O

g o

i

Lg = Powg [ln(~O/rl) – rz . l – rz) + 1]/(27r) ,

1

i

. ln(r2/r~)/(27r)

1

r p i rz = rf

i

a

a a a a

5 a O t a

o a o

i s d

t et s l

c d s c d

a b

Page 24: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

i s co c a a

c i s

A c i e

G p c

r o p i

f = = 5 = 5 = 0 = =

i c a r

c c

p z er a w a 5 i

c a

s c

e c 5

p a

s v a r A

a d p i v

t r a

c p m p

m a s a p a S

m v

a i v

e

S s o

a i e

v

e r

s N

l c s v a p

e z r v a c

m p e a

i c

c c d r

o c a 5

r d a

c o i o~ a

Page 25: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

C Iz a

d a t ~

c d as c L

i i m i t

p c a 2 s tJ

g A i = ~

e = c a a. b, c,

d, e, j, z, y, z, and t r

A 0 t i

i v a t

p m g c

a W = i =

t i O

c r T

o i

f g

b a Fo,

g i o

d a b i

s ii o s U a b

d m a

b d i

t i

i E

g i

r u p

R

w b r p

l e i a

c p

Page 26: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

700.0

6 0-xc- 4@u

.......,””........., .

..$.,

. . .

... ”,....

........

........

......

,...

,,

.....[ 1 n

o 1 0 02 3

Ii c

( A = 1 c

4

3

c.; 2

zaLL~ 1 0v

0 .

1 , b m

,

1 1 n

o 1 2 3

E c5 i

( 6 = 1 Ac

c

2t 1 1 1

~

. ”, ”

. . ..

. ”..-.

..........

,.....

.,.””,

.....”’,.. ”

,. . .

,,

00 2 3

ic i( 6 = 1t i

ii

5

- 4az

3

2

t n [

. .. .

. .

. . . . . . . . . . . . . . . . .

o 2 3

t

5 i6 = 1

Page 27: LA-12482-}JfS April 1993 · 0.06 0.05 5.35% 1.86% 300 25 36.90 50 2.5° 108.70 137.10 27.42 1.0 329.4 5.71 41.06 6.09 6.21 250 178.5 1000 2200 5500 0.04 3.14% ‘ = b = ‘ = d a

5

q40.ooz

230.00La

ti20.00

7.-4.-

~ 1 0

0.000

1 n #

.. . .. .

.............................

n * *

o 100. 2 3

I rp lengthfor 50-cm-radius inside-out coaxial (solid)and disk (dotted) 6 = 1

5E 0

4E

~ 3$ Ec

z~ 2. E

$

s 1E

0

...,.........

, ......

......., ........

.., ., ., .....

”..

...........

.

o 1 2 3

i( 6 = 1

600.0

6

4-

s

; 3

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R

A. P L B KM “ M G

Megagauss Fields and Pulsed Power Systems, V. M.S P York, 1989), p 331336.

C. G 7th IEEE Pulsed PowerConference, B. H. B S

P L L CM C hh4egagaus Fieid and Pulsed Power Systems,

S P

C G V ME M G “ A4egugauss Field and Pulsed

Power Systems, M. Titov and G. A. Shvetsov, Eds. (Nova Scimce Publishers,New3

D M , P PC S “

M G “ Megagauss Field and Pulsed PmueT Sgstems,S P

C P SG U!i7ah@ Magnetic Fields: Phy~ics, Techniques. Applications, V. M.

S

P A P P CS “ E G Uftrahigh

Magnetic Fields: Physics. Techniques. Applications, V. M. Titov and G. A. Shvetsov,( “

F S “ HC G D p

O “ L(

K Pulsed High Magnetic AE l

B “ Megagau~s Technology and PuZsed Power Applications M. I’owles,E

S F BG O

“ T M a H C GMegagaua Technology and Pulsed Power Applications, C.

E

FM C G Megagauss Technology and Puhed PowerAppZicationq C. M. E

4

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13. Il. L. F M VV “ Mark 101 Ma etic Flux CompressionGenerator,”

rin Megaganss Technology and Pulsed Power App ications, C. Fowler, R. S. Caird,and D. J, E

J Morin and J. Vedel, “Generateurs de Courants Impenses Par Conversiond’Energie Explosives en Energie Electrique,” C. F. Acad, Se;. Paris, T 272, Ser. B,

(1971).

15. E. I. Bichenkov,“ExplosiveGenerators,” Sow Phys. Dokiady

I