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PROSPECTS OF MULTIFILAMENTARY
SUPERCONDUCTOR AC 50 Hz APPLICATIONS
I. Hlásnik
To cite this version:
I. Hlásnik. PROSPECTS OF MULTIFILAMENTARY SUPERCONDUCTOR AC 50 Hz APPLICA- TIONS. Journal de Physique Colloques, 1984, 45 (C1), pp.C1-459-C1-466. �10.1051/jphyscol:1984194�.
�jpa-00223750�
PROSPECTS OF MULTIFILAMENTARY SUPERCONDUCTOR AC 50 Hz APPLICATIONS
EZectrotecXnical Institute CEFR, Slovak Academy of Sciences, 842 39 Bratislava, CzechosZovakia
&& - A p a r t i r d e s parambtres d e supraconducteurs m u l t i f i l a m e n t a i r e s mo- d e r n e s e t de l e u r s p o s s i b l e s a m 6 l i o r a t i o n s on montre que l e u r s a p p l i c a t i o n s aux bobinages & c o u r a n t a l t e r n a t i f 50 Hz avec B , autour de IT peuvent appor- t e r d e s Bconomies d ' 6 n e r g i e e t e n m6ne temps une diminution du p r i x de r e - v i e n t .
B b s t r a c t - It i s shown t h a t parameters o f modern m u l t i f i l a m e n t a r y supercon- d u c t o r s and t h e i r p o s s i b l e improvements a l l o w t h e i r a p p l i c a t i o n t o AC 50 Hz windings working a t Bm of about 1 T and g i v i n g energy and t o t a l c o s t savings.
AC l o s s e s which a r i s e i n t y p e I1 s u p e r c o n d u c t o r s i n t i n e v a r y i n g magnetic f i e l d s w i t h f l u x d e n s i t y amplitude B,higher t h a n t h e lower c r i t i c a l f l u x d e n s i t y
&, have two i n a u s p i c i o u s coneequences. F i r s t t h e y l e d through t h e superconductor warming u p t o a n e x c e s s i v e d e c r e a s e of quenching and working c u r r e n t s . Second i n concomitance w i t h needed r e f r i g e r a t o r energy consumption t h e y d i d t h e t o t a l energy b a l a n c e economically unfavourable.
Recent p r o g r e s s i n low l o s s m u l t i f i l a m e n t a r y superconductor technology t o g e t - h e r w i t h a b e t t e r u n d e r s t a n d i n g of t h e i r behaviour i n time v a r y i n g f i e l d s have evoked t h e d i s c u s s i o n a b o u t t h e p o s s i b i l i t y of b u i l d i n g AC 50 Hz superconducting equipment6 from m u l t i f i l a m e n t a r y composites [ l ] - / 5 ] .
Following q u e s t i o n s a r i s e d :
1. Could t h e s e new composites work a t 50 Hz and i n 1 T range?
2. I f yes, could t h e t o t a l energy consumption i n windings from t h e s e composi- t e s be s m a l l e r t h a n t h a t i n c o n v e n t i o n a l windings?
3. If y e s , could t h e t o t a l c o s t s o f superconducting equipment b e s m a l l e r t h a n t h o s e o f a conventional one ?
4. I f y e s , what a r e t h e key problems t o b e s o l v e d on t h e way t o i n d u s t r i a l A C 50 Hz m u l t i f i l a m e n t a r y superconductor a p p l i c a t i o n s ?
The aim o f t h i s p a p e r i s t h e l o o k i n g f o r , a t l e a s t , p r e l i m i n a r y answers on t h e m q u e s t i o n s .
I. FIKE FILALlENT LOW LOSS SUPERCONDUCTORS. THEIR QUENCHIEC CURRENTS AND AC LOSSES The p r o g r e s s a t t a i n e d i n t h e m u l t i f i l a m e n t a r y superconductor technology 161- 19) h a s l e d t o a s u b s t a n t i a l f i l a m e n t diameter r e d u c t i o n i n t o t h e micrometer and submicrometer r a n g e ( d C l pm). Small w i r e d i a m e t e r s (Dz0.1 - 0.3 mm)which ha- ve been o b t a i n e d allowed t o reduce lp under 1 an t o o ( f o r mechanical r e a s o n s lp?. 5 D). I n t r o d u c i n g a p p r o p r i a t e , homogeneously d i s t r i b u t e d CuNi b a r r i e r s ( s e 8 Fig.1) around s u p e r c o n d u c t i n g f i l a m e n t s , between and around f i l a m e n t s t a c k s a s w e l l a s around s t a b i l i z i n g Cu f i l a m e n t s r e s u l t e d i n h i g h $ ( 1 6 " 10-%dsimultane- o u s l y c o n s e r v i n g low?, 6 1 ~ - 4 b m ) 1101 - [13] . Table I g i v e s a n overview o f t h e com- p o s i t e p a r a m e t e r s r e f l e c t i n g t h e p r e s e n t s t a t e o f t h e a r t a s w e l l a s t h e expected p r o g r e s s i n t h i s domaine.
Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:1984194
C1-460 JOURNAL DE PHYSIQUE
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A l l t h e s e t e c h n o l o g i c a l achievemonts hove l e d t o a s u b s t a n t i a l r e d u c t i o n of A C l o s s power d e n s i t y p e r composite u n i t v o l u r ~ ~ e p, v ~ h i c h is t h e s-xm o f h y s t e r e s i s and eddy c u r r e n t l o s s power d e n s i t y p and pe r e s p e c t i v e l y . I n m u l t i f i l a m e n t a r y superconductors which come i n t o c o n s i k e r a t i o n f o r t h e u s e a t 50 Hz and B 2 0.5 T p, a t f i r s t approximation can b e expressed a s f o l l o w s [5]
8 nnl u loo or1 I I I C r O I lo o o l a 0 . 1 ~ 2 I IS :a 1 1.1 a,onrlr
OC( I ~n 11 I ,134 I W Y ~ O I I I
7 0% I 197 0-11 0 2 113 0 m l DW 304 155 ,01 I xm-"
where h i s r e l a t i v e superconductor volume i n t h e composite, J f B ) c r i t i c a l c m c u r r e n t d e n s i t y i n t h e superconductor a t Bm, f i s t h e frequency.
Y
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Experimental d a t a o n quench c u r r e n t s and A C l o s s e s i n mixed m a t r i x f i n e f i - laments ( d = 1 pm) c s p e c i s l l y a t f > 5 Hz a r e s c a r c e [12] , [13] . L a s t l y we heve un- d e r t a k e n a s y s t e m t i c s t u d y of quenching c u r r e n t s and AC l o s s e s on i n d u c t i v e c o i l s w i t h d i f f e r e n t c o o l i n g channels f r o n t h e conductor N09 of Table I which was u s k i n d l y made a v a i l a b l e i n a l e n g t h of-500 m by D r . J.Goyer from Alsthom A t l a n t i q u e . F i r s t s e r i e s o f c o i l s was wound from a sample of 30 m l e n g t h o n t o FRP bobbin w i t h diameter of 5 ma, l e n g t h o f 6 cm and w i t h maximum 7 l a y e r s (see Fig.2). The c o i l s d i f f e r e d by t h e t h i c k n e s s of s p a c e r s , which were i n s e r t e d a t each l a y e r t o form c o o l i n g channels. Analogous ' c o i l s h a s been made from Niomax TC 1045/ 20, ~ ' 6 4U.I.
OU I I41 OW1 111 123 615 '754 161
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I I I I S 115 0 3 10 0 2 m4 o 0 6 5 0 2 1 l o e 0 6 1 1 r h * s a .
OW 2 2.21 0 2 5 0.15 0.5 I6 2 S W m n t h l
The experjmental r o s u l t s a r e shown o n t h e F i g 3 whore t h e r a t i o o f Kim' s pa- r.-.neter += Iq(B,,+ B,J f o r AC and DC measurements i s p l o t t e d a g a i n s t frequency f , where B being maximum B a t I i n t h e coil.dcDcfast i n a l l c o i l s , exocpl; c o i l
'3 m q
work 10
! r
I 5 I I ~ I 2 I 1 1 0 5 0.1 7 I--
o w 2 ~ m i o m om4 o m s 0077 0 % I ) o m nn 01s o uf=50 H z G e q u a l a g a i n t o q x . A t t h e s e good c o o l i n g c o n d i t i o n s t h e A C amplitude o f megnetic f l u x d e n e i t y B, i s h i g h e r t h a n 1.5 T which correspond t o maximum ramp r a t e 8-475 T/s f o r hlsthom A t l a n t i q u e w i r e , a s s e l l a s B =1 T and B,=314 T/s f o r 1i.U wire. These r e s u l t s Fire i n accord w i t h t h o s e i n [1$[13]. A f t e r t h e e x p e r i - ments on s m a l l c o i l s a b i g s r one from about 450 m l o n g scmple with 1 2 l a y e r s end 0.55 mm t h i c k FRP s p a c e r s was wound onto a FW bobbin w i t h diameter o f 27 mm and l e n g t h of 11 cm. The e x t e r n a l c o i l diameter was 47 m ( s e e Fig. 2 ) t c o i l AAV).
Fig. 3 Fig. 4
Here a g a i n +was equal t o hk of t h e s h o r t samyle. :.laximum B,of 2.46 T has been reached. The c o i l was energized i n s t a t i o n a r y contlitione up t o a AC c u r r e n t amplitude equal t o 91.5 % + w i t h o u t quenching. To t h i s c u r r e n t corresponds Bm=2.25 T and maximum ramp r a t e B=707 T/s.
The r e s u l t s o f c a l o r i m e t r i c l o s s meesurements m d o on d i f f e r e n t c o i l s a r e r e p r e s e n t e d i n Fi8.4.
Xore d e t a i l s on t h e s e experimonts w i l l b e p u b l i s h e d elswhere.
Our r e s u l t s on A C l o s s measurements t o g e t h e r w i t h t h o s e of 1121 , 1131 and o t - h e r have shown t h a t t h e e x . ( l ) i s i n q u a l i t a t i v e agreements w i t h experimental re- s u l t s . Nevertheless i t must be pointed. a u t , t h a t t h e measured p v a l u e s were about 2.9 t i m e s h i g h e r t h a n t h o s e c a l c u l a t e d from m e a s u r e d o ~ c = f ( b ) u s i n g f o r m l a ( 1 ) f o r conductor h'O9 and about 2 times h i g h e r f o r conductor B 6. T h i s could be cau- sed by s h o r t c i r c u i t e between t h e f i l a m e n t s due t o a c c i d e n t a l m e t n l i c c o n t a c t s o r due t o proximity e f f e c t i n vory t h i n normal metal b a r r i e r s between them.
The r a t i o of t h e winding conductor volumes V /Vws/s denotes t h e supercon- d u c t i n g v a r i a n t and c t h e conventional onoh when Tfie same ampereturns and conduc- t o r l e n g t h for both v o r i m t s a r e supposed can be expressed a s
where J N and JS a r e t h e a d m i s s i b l e c u r r e n t d e n s i t i e s a t nominal regime i n t h e con- v e n t i o n a l and superconducting conductor r e s p e c t i v e l y , V i s t h e f a u l t c u r r e n t over- l o a d c o e f f i c i e n t and Jc(Bmma? i s t h e c r i t i c a l c u r r e n t d e n s i t y i n t h e superconduc- t o r a t t h e maximum f l u x d e n s l t y B i n t h e minding d u r i n g t h e f a u l t .
mmox
Using t h e r e l a t i o n s (1) and (2) we o b t a i n t h e r e t i o \ of t o t a l energy consump- t i o n
~ -i n s u p e r c o n d u c t i ~ \,finding i n c l u d i n g r e f r i g e r a t i o n t o t h a t i n c l a s s i c a l one
where Q N i s t h e r e s i s t i v i t y of t h e conventional conductor, < i s t h e r e f r i g e r a t o r
i n p u t n e c e s s a r y t o evacuate 1 'N from working t e m p e r a t u r e t o room temperature.
C1-462 JOURNAL DE PHYSIQUE
can be expressed a s { '(T1 - To) / qcTo /4/
where '(lc- s o c a l l e d p e r c e n t Carnot depends on t h e r e f r i g e r a t o r c o o l i n g power P , on T b u t mainly on compressor and expander e f f i c i e n c i e s . The most c i t e d da-
t g on g r e t h o s e of S t r o b r i d g e 1171, b u t t h e y seem today t o be t o o optimistic~f8].
For f u t & e a p p l i c a t i o n s of m u l t i f i l a m e n t a r y superconductor and T ~ 4 . 2 K we can c a l c u l a t e w i t h !=328.for p r e c o o l e d r e f r i g e r a t o r s p l u s 0.3 1 L N ' / ~ and 1 W of PC, o r w i t h {=500 f o r r e f r l g e r e t o r w i t h o u t precooling. I n t h e f o l l o w ~ n g we c o n s i d e r r e f r i g e r a t o r s \*/ithout p r e c o o l i n g ,
7 2
~i 9,=2fiodnmi ~ ~ ~ 1 x 1 0 *jm ; > . J ~ (8-1) = 1 d 0 9 *h2 /5/
t h e n ps a t which .( =1 is
efdhJc( Bm) Bm ~ ~ f 212 QNJN Jc(B,& 14x10 8 W/m 3
+ A=-- /6/
pso =
3 T 2
Q LEu(i+C) v ( l + f )
F o r V = l and f = 5 0 0 , o r
'y=3 and { =lo00 zx. ( 6 ) i v e s
pso = 2 . 8 ~ 1 0 5 w/m3 /6a/ and pso = 4.7xI.O W/m3 /6b/ r e s p e c t i v e l y . From Table I and Fig.4 we s e e t h a t f o r Bm=l T t h e c o n d i t i o n /6a/ i s f u l f i l - l e d by today
asc o n d c c t o r s ~ O 3 , 4 , 9 and c o n d i t i o n /6b/ w i l l be f u l f i l l e d only , b : f u t u r e g e n e r a t i o n conductors.
W e s e e t h a t
3i s one o f t h e most d i f f i c u l t o b s t a c l e s t o A C superqonductor a p p l i c a t i o n s i n t h i s domaine and a l l must be made t o l o v e r i t by adequate d e s i g n o f power equipment i n t e r n a l impedances 151, [14] and/or by n s u i t a b l e c u r r e n t li- m i t e r (21, [15],[16].
11. EVALUATION OF OVERALL BEIXFITS OF AC 50 Hz SUPERCOh3UCTING iVIIIDIl~GS
O v e r a l l b e n e f i t s can be r e p r e s e n t - d by t h e t o t a l c o s t d i f f e r e n c e Ctc-Cts o f b o t h v a r i a n t s a s w e l l a s by t h e d i f f e r e n c e of t h e i r t e c h n i c a l parameters.
Ct can be expressed a s t h e sum of c a p i t a l c o s t s C which a r e a s s o c i a t e d w i t h t h e purchasse and , i n s t a l a t i o n of t h e d e v i c e and of c a p i ? a l i z e d o p e r a t i n g c o s t s K which a r e g i v e n by t h e f o l l o w i n g formula 1191
1 - [ ( l + i l / ( l + d ) ]
K ~ B ~ ~
( l + d j / ( l + i ) -1 = 'cok
/7/
Here Fco a r e t h e annual o p e r a t i n g c o s t s i n t h e lSt o p e r a t i n g y e a r , i i s in- f l a t i o n r a t e , d d i s c o u n t r a t e and n o p e r a t i n g l i f e time expressed i n y e a r s .
Because t h e c a p i t a l c o s t s o f t h e superconducting v a r i a n t a r e n o t y e t e x a c t l y known, t h e c a p i t a l c o s t d i f f c r e n c o w i l l be h e r e expressed a s 2 times t h e winding m a t e r i a l c o s t d i f f e r e n c e C - C minus t h e r e f r i g e r a t o r c a p i t a l c o s t s CRS.
For o p e r a t i n g c o s t s we sha!ff conzfder t h e winding t o t a l enercy consumption d i f f e - r e n c e and maintenance c o s t s f o r r e f r i g e r a t o r f a s w e l l a s c o s t s f o r U2 conaump- t i o n p e r hour C f o r r e f r i g e r e t o r s w i t h LN2 p&cooling. A 1 1 o t h e r c o s t s rill be c o n s i d e r e equalL!or both v a r i a n t s . Then f o r o v e r a l l b e n e f i t s we o b t a i n
where c and c a r e t h e p r i c e s p e r m3 of copper and superconductor respec- t i v g l y , ce i l c t h e prJcSe p e r 1 Wh. Following s e t of parameter w i l l be used f u r t h e r
S u b s t i t u i p g from ex. ( 2 ) a n d ( 9 ) e q r e s a i o n f o r winding p r i c e d i f f e r e n c e i s
t h e p r i c e of superconduting winding conductor would be s m a l l e r t h a n t h a t o f t h e copper. For c u r r e n t d e n s i t i e s i n d i c a t e d i n /5/ i t would b e t r u e f o r
U s2 .
F o r Y = l t h e p r i c e o f superconductor would r e p r e s e n t o n l y
4 8% of t h a t o f copper.
The lower w i l l b e B t h e h i g h e r w i l l b e hJc(Bmma! and t h e h i g h e r could be win- d i n g conductor s a v i w :
It i s necessary t o p o i n t o u t , t h a t h i g h mean c u r r e n t d e n s i t y i n t h e AC super- conducting winding l e a d s t o s u b s t a n t i a l l y lower winding mass B4 a s w e l l a s t o l o - wer o v e r a l l dimensions and by t h i s t o f u r t h e r c a p i t a l c o s t s sg$ings. For t h e sa- k e of s i m p l i c i t y we s h a l l n o t a m l y s e t h i s a s p e c t h e r e .
R e f r i g e r a t o r p r i c e f o r PC> 100 f i s ~ i v e n by 1181
CRs = 5 M 0 P:*~~ A 2 a / %, = 6500 P, 0.73 /12b/
f o r r e f r i ~ e r e t o r s w i t h or without LN 2 p r e c o o l i n g r e s p e c t i v e l y . The terme ma-
Ires t h a t f o r s m a l l e r equipment t h e r e f r i g e r a t o r c o s t s rill be more i m p o r t a 8 t t h a n f o r a b i g e r one. I t l e a d s a l s o t o ~ m a l l e r r e f r i g e r n t o r c c s t s when r e f r i c e r a t o r w i l l be used a l s o f o r o t h e r purposea t h a n f o r hC equipmect. I n such a c a s e a l s o l a b o r and meintenance c o s t s a r e s m a l l e r .
J o u l e l o s s e s i n b i g power t r a n s f o r m e r s and cryoturboe;enerators o f 1000 WfV r a - t i n g range a r e r e l a t i v e l y small, o f a b o u t 0.2 X o f nominal r a t i n g . N e v e r t h e l e s s i n a b s o l u t e v a l u e they r e p r e s e n t over 30 y e a r s o p e r a t i n g l i f e p e r i o d approximate- l y 400 m i l i o n s of kVh p e r machine. Expressed i n c a p i t a l i z e ? p r e s e n t v a l u e c o s t s t h e y amount t o 4.25 + 7.44 mil.$. T h i s i s about 24i40 % of t h e c a p i t a l c o s t s o f a c o n v e n t i o n a l 1000 UEI t u r b o g e n e r a t o r [19], [21]and 100-185 % o f t h o s e o f a con- v e n t i o n a l power t r a n s f o r m e r o f t h e same r a t i n g . If t h e y could be s u b s t a n t i a l l y r e - duced o r e l i m i n a t e d a n important economic s a v i n g could be gained.
:,!any s t u d i e s examined t h e p o s s i b i l i t y of b u i 1 d i . g superconducting t r a n s f o r - n e r s from 1961, but o n l y i n 1981 low l o s o multifilame..tary conductors have been considered f o r t h i s aim [2], [4]. I n r e f e r e n c e r 2 ) t h e i n s u l a t i o n and bushing pro- blems a s w e l l a s those?rnechanical and cryogenic d e s i g n were d i ~ c u s s o d i n d e t a i l s and f o l l o w i n g c o n c l u s i o n s , which a g r e e i n g e n w a l l i n e s w i t h t h o s e o f o t h e r a u t - h o r s , have been r e t a i n e d .
Tho i r o n c o r e should be p r e s e r v e d n e a r room temperature, owing t o i n ~ u l e t i o n r e q u i r e m e n t s a u p o r c r i t i c a l one phase helium should be used a s c o o l a n t , vecuuffi epoxy bushing w i t h c a p a c i t i v e l y g r ~ d e d c y l i n d r i c a l s h i e l d s have t o be developed, C-10 composite i n s u l a t i n g m a t e r i a l i s widely t o be used a s former and c r y o s t a t m a t e r i a l .
To reduce t h e i n f l u e n c e of f a u l t c u r r e n t overload on A C l o s s e s i n nominal c o n d i t i o n s two p a r a l l e l windings w i t h low and h i g h l e a k a g e impedances h a s been Fro- posod i n 121.
K e v e r t h e l e s s t h e problem of t h e i r c o r r e c t o p e r a t i o n a t f a u l t h a s n o t been solved. 1;o d e t a i l s on t h e m u l t i f i l a m e n t a r y composite parameters and t h e i r impact on A C l o s s e s have been given.
On t h e b a s i s o f our experimental r e s u l t s on A C 50 Hz l o s s e s and quenching c u r r e n t s and u s i n g t h e r e s u l t s o f t h e p r e c e e d i n g c h a p t e r wo have evaluate(! t h e c o s t d i f f e r e n c e of d i f f e r e n t components a s w e l l a s t h e o v e r a l l c o s t d i f f e r e n c e f o r 3 composite t y p e s and f o r v = 4 o r 1.3. Maximum f l u x d e n s i t y amplitude i n s t a - t i o n n r y c o n d i t i o n s was t a k e n e s in [2]%=0.56 T. Parameters of conductors a s w e l l a s t h e c a l c u l a t i o n r e s u l t s a r e i n Table 11.
3 3
Conventional winding par9meters a r e V =8.16 m , 1 ~ 7 2 . 6 5 x 1 0 kg,
C =581000 $, JN=3.5 x 1 0 6 ~ / r n . We s e e t h a l c f o r Y=4 any$ w i t h conductor ~ ' 3 ~ o v e -
rxfl c o s t d i f f e r e n c e could be p o s i t i v e , w h i l e f o r ~ = 1 . 3 a l r e a d y conductor N 2,
v e r y s i m i l c r t o one which h a s been produced without r e a c h i n g t h e l i m i t s o f w i r e
drawing p o s s i b i l i t e s [14], g i v e s i m p o r t a n t o v e r a l l savings. Here a e a i n t h e neces-
CI-464 JOURNAL DE PHYSIQUE
s i t y of loworinl: v w i t h t h e u s e of s u i t a b l e c u r r e n t l i m i t e r appears, Conductpr nO1
does n o t g i v e y e t any b e n e f i t s .
Cor.dustor prraostsrsi bcdmotor ~'18 LW.3 n d.1.25 UI ;1 ? u &.2.10-~2 .e. . ~ ? ~ ~ d i y ? , + E =I. j T Condrtctor If21 W.1 m d.O.41'hu 1 e . 5
=
o t i .:r e as far zoiCondDetor ~ ~ 3'3-C.1 8 pm ?,-13-'~n o t h k ss for x02