TRIUMF: Canada's national laboratory for particle and nuclear physics

KAON Factory Accelerator Mini-Workshop, August 18-10, 1986 TRIUMF Aug 18, 1986

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KAON Factory Accelerator Mini-Workshop August 18-19,1986 TRIUMF • KAON FACTORY ACCELERATOR MINI-WORKSHOP August 18-19, 1986 TRIUMF Auditorium Programme Monday, August 18 9.00 9.15 10.00 10.45 11.00 11.45 12.30 14.00 15.30 15.45 16.30 18.30 M.K. Craddock Introduction G.H. Rees/C. Planner RAL ISIS Synchrotron - Status Report H. Schonauer EHF - RF Programme and siting options T. Suzuki R. Baartman R. Carlini/ C.C. Friedrichs M. de Jong R. Poirier COFFEE Thoughts of higher intensity protons in Japa n Improved RF programme for the KAON Factory LUNCH Status Report on Los Alamos Advanced Hadron Facility RF cavity TEA HERA cavity development at AECL RF cavity development at TRIUMF DINNER Tuesday, August 19 9.00 (in Pr.oton Hall 10.00 G.H. Rees 10.45 11.00 F. Pedersen 11.45 C. Planner 12.30 13.30 K. Reiniger 14.10 T. Suzuki 14.50 U. Wienands 15.30 15.45 U. Wienands 16.25 J.R. Richardson • tour RF cavity developments) RF Systems for EIIF COFFEE In te raction of higher order modes with RF systems Design of RF Shields LUNCH Dual Frequency Magnet P.S. Studies Emittance growth near ~esonances Slow extraction from the Extender TEA Depolarization The TRI-I00 Concept. • • • • • • .: . : : : . .. . : : : : : .... . . . : : : : ::: . . . . . . . .. . . ~ . .. . . .... : . .. . ! . . . ~~::.=v : .. . ; .. . ~~~ : :~~~~~.~. · ·· · ·: ~~·· ·· · ··:I ·S:1·~· · · · : · · · · :· · · · ~ ··· · l· · ··:···· :· ... : .... : .... !.. . · · ·I :!.JrN.#~~~ {r: l !:·r:;.l}}}:.-rJr} · ·Jr} ... . : ... ..... . : .... ; ... . : .... i .... ~····l···· ~· · · · ! · · ·· ~ .... i···· ~ .... : .... ~ .... ~ .... j .... ~ ... ...... : ... . : .... ~ "" ! "" : " "!"" : ' " .j .. .. ! .... 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In 25,; '" SlOE - C()CJP'~b (,"IV~C 800S7ER .sYNCNHo 71C#DN 9 "eo 25 RCCtI,Afllt ATc:>If' ~ ftJIo HR/N .sYIVCN~07"OA/ 30 960 12.5' European Hadron Facility , .. _ 1 1.2 GeV Linac Booster 9 GeV ~ Fast Extraction Hall \_ Accumulator I ~ ~ ~ =~~'---I _-___... ~~---' i i ~ ~"""- '4 ==--c::_~ Malnrlng Slow Extraction Hall Om 100m -I I ' I I I • • • ~ • ( • RCC£'E/?~ rlON , \ , , \ItING \ \ , \ \ \ LINRe o !fO lot; LI --&'_"---..L---,-~I---'L.--..L---,-__ --,I. '" 5 ec. ~:~'" {? CU')'\ e-\ ~£M4 Table 1.1: Summary of tfte 9 Ge V Scenario Parameters LINAC Ener~y (Ge V) Rep. Rate (Hz) RFQ (MHz) Chopper (MHz) Alvarez (MHz) Side Coupled Li'm&~ (MHz) BOOSTER Energy (Ge V) 1.2-9 Circumference (m) .80 Rep. Rate (Hz) 25 • Protons (1013) 2.5 RF (MHz) 50.5 - 56 Frequency swing 11% Peak RF Voltage (MV) - 1.2) Harmonic 90 "11 12.3-4 r~ I2F f't7",c..r +co 6.&A-. ~.~~ Remarks 20CI tuniS ,K-mjection 1.2 25 50/400 0.55 400 1200 MAIN RING 9 - 30 960 12.5 5 56 - 56.2 0.4% -2 180 8 t.(.~ '-'tv.; Snakes Possible HOLDING RING STRETCHER Ener~y (Ge V) ~ 30 Circumference (m) .{ISO 960 Remarks Can be used as Can have internal 9 Ge V stretcher ribbon target +p ;0< ~y -;::z; k S 1" G· ~ . .. ~TfZ.n .. J ~ lC J ~~Or.J~ \ i 4 1- ~ s:- ""'fef" ~ c.s .. oc:L,--c:..: 't • • • 400 MHz 50MHz J 1200MHz I hi hi h1 h1 Booster I • I I Ion source I RF01 I RF02 I DTL SCL I +OC accel. I I I I I I I I I I I I Energy: 0.03 0.15 2 150 1200 [MeV] Figure 2.1: Schematic Layout of the Injector Complex • 16 :(p I 50MHz f RFO 11 400MHz 1200 MHz I SCL ir1 .. .,,:...... .. '-, ~ -~-00000 0 000 000 l...,-J .... ' ----~I ----....... 2 20 buckets empty 41 121 t -equivalent beam intensities • Fasure 2.2: "2 out of 8 Buckets" Pitilosophy, and Beam Intensities at the Different Frequencies 17 • • • ___ ~ . . _ .. _ _ _ _ _ • _ _ _ . _ _ . __ _ _ . _ . _ '_ -'4 _ _ _ • 6p/p (units t:I 10-3 ) A p/p(units of 10~) ) Fi,ure 4.1: a) - - Schematic of Painting Schemes - - b) • is the phase of the linac bunches relative to the booster RF field waye(orm that is adjusted (poSition C to D). Detailed studies are needed to compare the relative merits of the two schemes, and for the overall inj«tioD system desi,n. References • 1. LAMPF II Proposal, February 1986; a·vailable f'forn Los Alamos Na-tional Laboratory, Los Alamoe, NM 87545, USA. 2. TRIUMF KAON Proposal, September 1985; available fr-om TRIUMF, 4Q0.4 Wesbrook Crescent, UBC Campus, Vancouver, S.C. V6T 2A3, Canada . 33 7 I 1-'- -' I Chapter 9 EHF Budget Estimate The budget estimates listed below take into account the experience in costing accelerator and experi,mental equipment from laboratories such as CERN, DESY, GSI, Fermilab, SIN etc., as well as the budget estimates for the similar proposals of TRIUMF and LAMPF II. No allowance has been made for contingency nor for inflation . For installation about 5% of the material costs were added. To run the EHF -facility one needs an average power consumption of about 30-40 MW and an estimated operational budget of around 100 MDM/year. MDM ~C.$ t· .. f) LINAC 1.2 GeV 136 91 BOOSTER 1.2-9 Ge V 90 bO HOLDING RING 9 GeV 32 2:1 MAIN RING 9-30 GeV 147 cH~ STRETCHER 30 Ge V 45 3C Buildings and Thnnels 77 ~-1 Central FunctK>n 10 r COmmoll Services and Uti,l~ties 60 110 Fast Extraction Nal'l 46 31 Slow Extraction Mall 195 -130 Architecture/Engineering 10 :J-Total 848 b f 5""" = ". 93 \ ,... ( • 142.1 un.,:; ,~c.$ .A ~ B 2S:-G. 13 t> 13 E -'\~ 34 -• ---_ . . ---- -~------- - '>'- -.,-~--... -- ._-- .' . - --" -- .' , f'I ...• ----_ . . _------_. -1- PS BEAMS ~ T- -.---.. •• . - - - , ~-=-..:=~ ;:-:~ . IOUTES INnlNU IINU'-NAl'-OAIlS AltAOO US! T>UIO\ ' IUlr F. Ii ~I i I CljJ' / " IADIIAGI! 01 t.lNSII:J N FlU 1'1 ... IA""llt EII'I fAIIAIlA\' lr' .. III ... • . U~ll • Ot .. t H ,UII O~Ol II.' ... IIre!)II".!:L (ftc ,it GOWAItO 1111> 1'1 ... 101111 IH~ GMIt'IUC\' " \\ 1"1 .. l' AI'I-!"llISII 1111 I , j ttll~ ,, ' lit It "~ 1' 0 • ... ..... . ""-.. .... « ' 11 , .. ", ·1 f I · . .. I' .0-....n - .f 2 . An important feature of a CHF is a staged approach. where 3 phases may be i.agined : 3 Phases of i CHF' EH F Phase 1 : Aiming at 4 ~A (2~AJ in exclusive (ti.e sna ring) mode - a Stretcher Ring bu i lt with ISR magnets i n the ISR tunnel (max . 30 GeV . large horizontal apert~re = good for slow extraction). - the PS pushed to 1 . 2 s cycle tl.e for 26 GeV/c (present li.it - 1 . 8 s) and 3 . 1013 p/cycle ; cycles sha r ed SO/50 with pbar production . Phase 2 : Aiming at 10 ~A (7~A in time sharing with PSI - (the Stretcher Ri ng of Phase 1). a dedicated -PS II- in the ISR tunnel. pulsing at a .ultiple of 1 . 5 Hz. 12 Hz in phase 3 ? - Fermilab scheme of reduced rep . rate) . 13 - PS II fed by PSB pushed to 1 . 5 Hz rep . rate and 4 . 1~ pIp. 3 : 1 sharing of PSB pulses between PS II and PS. - requires a loop tunnel PSB dump - TT6 SO to 60 m long . 11~ deg bend at 800 MeV. temporary 9 . S MHz rf system in PS II ? (Frequency Swing in PS II 1 . 19) or 20 - SO MHz system in PSB to use PS II RF also in phase 3. Phase 3 Aims to meet EHF specs - PS II cycles at 12 Hz. say (~ 5 . 1013 pIp) inside ISH , - dedicated fast-cycling Booster 1/2 circumference , - ., •• ~r 1 . 2 GeV Linac r..'.' •• =-II.~j . 20 Variant: no Booster, PS II "'(1 . 2) - 30 GeV at ~Hz excludes polarized beams. see below . In all phases , one Exp . Area (as foreseen for EHF) in the West Hall . 3 . Polarization Note that a large fraction of the initiators of the EHF project are interested in polarized beams ... (AGS provides some degree of olarization . . . J . • 2 • • I • I I I I ! 1 1::\ IV) ct + c. ' J,..- -~--: . i ~ o " \ --~-h-~+c.-h~v- (..J'\.t~ I~r<. ~~~ l.,O ""CG- -tn c., I..-.J , ~ /1.'2.. - -:So C~V "l .~ ., Ac A~ r If> <5 t. rJ Q )( "V / (!,,'1 f-.1W ~. T-'o~c-/\ 'v f'lF It .~ f'1V f~V\'1 ~~~ /1A . 'f ~ ~ % ~ ~ So-~~ """Itt ~~~+;()~ ~F .11t~ "J /L • • lOr ~ &Af-I ~'\ ~ct..,~ 0'1 U'" ~ £<:l ~ r.>~c..;~ ol.v.> ljM -f.o ~...v-o ... ,.. pO~Q..A"\~ 6~\O~ • • eHF fV\AlN~'N~ 1.1. - So C .. V. --***EL.SEXN.SEZN • 0 . 075 20.0 30. 0 CHF 1. 2-30 Q Fr.p- 20. Hz. evs - U 5 . 0oh •• Np=O. 32~E+14. 01- 12. 20. 01- 13.20, HHt-.033. ri5e r . 75. R"149 . 6111. ( h ;. 17j). (·~t. 12. 7' ."dZln'" ell, e21, II I, 11z- . 17 . 41 . 09 . 59 T B Phh P h ib lac Po", Phtl Phi2 B' Pf dp/p Os ~5rllc srlll! Jlln IIIII~~ \\\\\\\\\\\\\ (Q.V) (T) (d~V)(dl~ V)(Alllp)(MW) (dp.V) (dl'g) 00 ., (ohlll) line Icoh Icoh Icloc Icloc 1 . 20 0 . 00 1000. 0 . 0 O. 0 2 . ~ 0 . 00-103 . 2 J03 . 2 . 3~9 .770 . 2~2 ~~0. 956 . 85~ 0 . 764 146. 0.176 200 .021 .0:S1 .0042 .0286 1 96 O. 12 52. :S7 2~00 . 2U . I 3 2. 5 2 . 7 I . B4 - 30 . 2 103. 6 .237 . B04 ,2BO . 0493 0 . 9 59 . 91:S 0 . B20 86 . 0 . 149 . 16:S -.016 . 03~ .0026 .0176 3.a:s 0 . 2154.,73 3157 . 45 . 2 49 . 5 3 . 1 3. ~5 13 . 4 94 . 1 . 154 .737 . 244 . 0198 0 . 94B . 9430.845 29. 0 . 073 .083 -.010 .015 .0007 . 0050 7 . 02 O. 3~ 55 . 42 3J~8 . 6 0 . 0 62.1 3 . 2 :S . 09 30 . 3 92 . :S . 101 . 726 . 220 . 00650. 932-.9510. 833 .,. 0.03B .04:S - . 006 . ooa . 0002 .0016 11 . 04 O. S2 55.64 3000. r d. . 1 ·I;~. 6 3 . 3 ~ 67 . b 77 . 7 . 01'7 . 533 . BOO . OOI~~B~.p 994 2 . 463 1. 0 . 034 .069 - . 004 .007 .0004 .0025 1:S. ~1 O. 72 5~.72 4069. 69.4 71.2 3 . 3 . 3~ 53 . 3 91 . 7 . 069 . 735 .155 . 002b 0 . 957 . 9530.856 -1. 0 . 012 .016 - . 003 .003 . 0000 .0003 19.99 0 . 92 55 . 76 3U94 . hU . 5 70 . 3 3 . 3 6 . 02 :51 . 7 91 . a . 012 . 724 . 117 . 002b 0 . 926 . 9530.829 -3. 0 . 007 .010 -.003 .002 .0000 . 0001 24 . 03 1. 09 55 . 78 3~2Y . 67 . 8 69 . 6 3 . 3 5 . 12 ~O . 4 91 . B .074 . 716 . 095 . 0023 0 . 905 . 953 0.BI0 -3. 0.004 . 007 - . 002 . 002 . 0000 . 0001 27 . 23 1. 24 55 . 78 2444 . hb. 4 68 . 4 3 . 3 3 . 7~ 47 . ., 91.9 . 019 .707 . 079 .0020 0 . BB6 . 9530. 793 -4 . 0 . 003 . 006 - . 002 ;002 .0000 . 0000 29. 29 1. 33 55. 79 1UOO. 40. 9 41 . 4 3 . 3 1 . 96 2~~ . 5 t,1 . 0 . 071 . 294 . 083 .00230.890 . 990 0 . 87~ -4. 0 . 003 .005 - . 002 . 002 .0000 . 0000 30. 00 1. 36 55. 79 1000. 00 0 . 0 3 . 3 0 . 00 - 20 . 8 20 . 8 . 0/7 . 159 . 075 . 00190. 080 . 993 0 . 872 -4. 0 . 002 .005 - . 002 . 002 . 0000 .0000 G+t~ MAIN ",i4" 200 ~1t1. R.F *.*EL.SEXN.8ElN · O. o ; '() ;~ () . 0 .'0 . 0 CHF 1. 2-30 G Fr~p~ 20 . HI. r 1!i t! "' . 75. H"' 14'1. 6m.~'1 Gt oa IOZ . 7. tndZ/n= 5 . 0oh"" Np-0. 312E+14. Or- 12. :20. 01- 13. :20. HHt- . 033 .. ell •• 21. Ill, 111- . 17 .41 . 09 . 59 ~. Vrf T H Ph is Ph i b (OIC t> I)'" Ph 11 Phi2 Bf p, dp/p s .. lIt STile srlll! 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I ~ ?ti r~ ~ ~S 'A. , .. :} ~~ h~ ~ \) ~ ~'nJ~ ~ ~7.,.rY) () ~ ~ -- . ~ -- c1WcilrY 1 ~~,:S ~~(/l~~. ;iZL' ~~'~ ~ /ZIr-tiVrJ ~ ~ct-t--· 11\ c;L " ...<2'r'P1 ~ 1"'"~' M C ( c. . } ,I.-1. ~ ~ .~.V\ A ) _\.J ... ~j~ • ,. t G---UT M~ ~ v , ~"..A. ~ ~ J .&w .bnU. l41~ ~ \ J-u'r,A. ~'~ .- ~MVl M~'~ 'l~~~ ~~ -+ ~.....tei f$ ~str~l ~ • • • • • (~ /--~---f 4" 1. "".CWW l. =: =-_ . ~ ...... '.~~ . lila .. u.. . J. c:..C""· __ J~ ,. Wee ..... ., ... . It' ,. :.... ... ...., .... : r . ::~i£~'-~. ~""&e~ : .... t.~ t.' __ ~-!J-~ • .,. f ... Y\.a~c.:..a. Jet _ ••• ~r 1:.. :. .... c."' ! .... t..a.c:.ac sa or _. -.:..:.-Cu.=--. z.... : ... , ....... ' FE -:.,-l ". '-- h. "-.' ".. .... i JJI-' c("'~ IJ O"h_-,I1111_-=;'-cl-"---~" ~ L 7 .. • ~FMJt Prcr4-~ • '::. j"'1~ oi '=E l<. r ~ (~ . ) , ~ =~.,u~ B~ • • 2- 0 .... Lt b MMr ~~ 8 f1',cI.",., ,1. '()"~ /.1'1.., 0''-1) f~~ ~~ -~. H .. ~;s", 3.) fW\./..,.,...ot ~ ~~c..~~ ~ ;6tv\~ P'JC 4 It,. a ~ j,.,.. ~~ f) RF- 1,.04-- ~-"I"c.-wd- -s )"'~~ 0-0 r::~~ » 1S"-t; -~ - fJ. ~ --7 ;:;::." -.. • CP~) tJ~1 IU.,.~ ~j M \J. I • • • Mu-X-+~ J,..o 4Vt ~1'l •• M - -~ ~ ",,' ~~ ~L •• o J~"'~i f\N..,~ ~--I' .. s M~~~~~ .. :t! ~ ~ I'M~ N"U, oLc.-~, ~~~~ 41AJ" ~~ J • ID • , '1 i k. , 7 • o """9 ;t,.A....." . r " ~ ,.~'"' ,.-..rt4/ I • ~~. ()r.!. • A.~ half-intege,' slow extraction system. TIM injected ~eam vo· .. ld have the emittances (we and Wt ) of t '" x '1 x -~O and t ~ 30 mm-mrad •• and the ao.entua .pread of y -!lp/p(FWHM) ~ 1 % to reach the space charle H.it. ~ that the chl\nge of "f-r should be done after ..aGIh adiahatlt: -tamping by acceleration to kMJI t1lle M_ ;ize less th~n the ~pe~ture. ± 50 .m ~rizontall'1 8Dd ± 25 ~ vertically. The excitation curve af tae perturbation quadrupoles and the result .. t 'T are shown '" Fte . 5. then also n stays in the st~le area ~ f Fig. 1. l~e beam size at 12 GeV is expected as Ixl ~ 38 (llI\l1) .'lnd Iy I < 10 (l:1li1) with the 1tF acceleration voltage of 80 kV. The momentum dispersion fwnctioa at t he extrl\ction septum is' rather large. l.e •• D '" 4.5 (m). but thts will be no problem because tae s'table , ·jccelention will be certainly realized. TIM .ast yerious problem 15 the beam loading. The increase of ::he Rf vo ltRge to about .115 ltV seeus rather easy and ··.he more -'!ssentia1 improvement is also been discss .. d. The two pairs of the doublet is installed in this June 'l ilt! the experiment with beal!! will he done. The r ull pates, i.e •• four pairs. wi.ll be completed Mfore ehe euti of this fiscal year and the 8uccess would M f~ ·)P ~rJ 1" r1H; '!,2xt yea'C' . Keferc.nces W. lia rJ." CiRN/MPS/DL/70-16 (1970). CERN/MPS/DL/71-7 (1971). CERN/MPS/DL/74-3 (1974) • . ) 1.C. Teng. FN-207 (1970). S. OhTH1!ll!l .. Fet"Clilab P-Note 105 (1980) . ~uVcrp& l ' iadicit y One period L-cell N-cell Drift Space l1agnet No. at 'YT :: 200. 6x max (m) 6 max (m) y D 1:18)( (m) 01 : 02: 03: (F): (D): (B) : Table " L L N N N N N (F)01(D)02(B)03 (F)02(B)03(D)02(B)03 5.445 m 1. 809 m 0.369 m Focussing Quad.. 0.615 m Defocussing Quad •• 0.615 m Bending Dipole. 3.273 m Table 2 Doublet 8 50 28 6 Harmonic 14 23 21 15 6 4 2 \ , \ I'll \ \ \t-pre sen t "a1 ue \ \ \ staltle area \ IJ ... \ -----' ..... -_ .... --.... -.... -T (GeV) P.ullch shape no:!/lT the transition croning (The horizontal display is LO nsec/div.) 2172 m 44 22 2F 3F 4F location of the pertubation quadrupole, +K I -1 Fig . 3 -10 Betatron oacillation para.etera in one ,uperperiod when YT i, about 200 in the doublet ache.e. o -ro~~--~~--~----~-1 F 2F 3F 4F SF 6F 7F Fig. 4 Dhperaion faction in one eupeI'l"!riod when YT ~ 200 in the han.onic KDeme. Tnr' 3 2 40 30 ro ' 0 e'l , \ \ 12 \ imaginary \ "-°0~~2--~4~-6~~8~7.IO~~1~2-T (GeV) Fig . 5 Excitation curve of the doublet and the resultant YT' • • • • ~ k~o W F-.«N'd Ii • • J.~ q" ~~ ..... ~ ·B9l. · DI f-'lAO ~ A. A .,aAAl, .wtc. M ~~ ~&.j.,~~ l JA.t~ aLe.) S c.vw. ~ s.L.J-) • • L(M.~ ~ ~'..t.~ IA.lS It~ ,-J ~~ ~~ • T"" , q.4J T "" , 0 Gr..c:;v l"p.A ')~A ~ \Cf\ \ ~~~ .. pv\\)&r..av .... l u) . !~'o~ffi -:I:"'-I"rr; ~~ ~~"}t f~c.. i ~'¥ ~il'~c. , ~~,., " ~~ .. .,I.r.... Z'"3 fAy:J~ 3 f'-t... "".w ~ 4uw. "*"f. s ~Ur\~ --, ~ ... ~,s. \eAwf.~-\u~ • (~ 'n) I II> ~ ~~, ~ l~'L'6) - . . -- . : .... - ' • I ~i ~~ ~ ~. > -c , .. ~~ -'-~~~ } c ..,~ ~ »'l i' ~ ;, ~g~ ~' f .:'\ ~ 0 ..,-I:!' ~ g > c$ i 0 .., ... :r 0 • ~ ;-. +- IE' ~ 'I' i; :-. ~ ~ I~ • ~ ~~ > ~ >+-CI) f~ ~~ LA{l.(i~ ~(W1.~lJ ~l~o~(..1 l~NS) -2-• - _.-_ ._- ' - -.. --- .. -''' - . . - -- '--~. -. - -- "_ . -- - -16 I • 1 I 1 ~ \ f j I 0 ...J 12 i ' I j .. > 0 f f , .~ .. J ~ 0 ... '" I '-i WI t ~ & ~ ~ -103 -... ---- ---.--~. ------.. ~.-'.e__.-,--~ -4 ~ .... '.\. \\;:J Bump_4 I ~ ~ - I ~ w ". " ~CI -r CI " flI ~ ~ - ""1'1"' .. ,-- , .-. ':"( "i ~1 ,:;;', , .,.c---~.-.::::~~ .. r-.... '\ " ~C~'iO.l $c;. TW(;. .-.~ -- .• ~<... ~, /' ....  ~ :>:: '-.f.:,. ~~_ -C- . - . ~',:""~_/ i)i'lc: - '~(, ,",::y -. ~. -:- . -.• , . .1 _ .a::-RF ~"O K;,.". ~- Bump" , + A verage radius Max. mag. rigidity No. of bending mag. No. of Q mag. No. of rf cavities Ii aeom 36 m 12 Trr 24 48 14 Rf= lxperlmentOl Hotl o 2S m I , [:::::::'] r. 1 r" i ,-I ."l a :-' c... ..... 'l , ~ ~ , ~ . ..,: ~ d "T" ... I~ .... a> 8 ~ 'it ~ .. " .... "'" ~ , 4-• 20.0 11 I I 1\ _ _ _ em BM QFH D I ] D lJ 0 r-m-- iii i Ii 10. 0 QFH BM on OF BM OD OF OD dM .:.:L f -s I - 1'1. f\ -A 8. 0 S ---- 16.0 ~ \ A I \ f\ I \ f\ I \ A IJ 6.0 ~ 12.0 8.0 4.0 , , , , , -----,,-' .. 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I'£T£K ~tlAI~E I' IIKIJ£}J II(J~/) J' ~()8 tI~K4r • /)()/1IIN/~ ~NAN If~./) Jt.'E~r A~T ~IfA~KN£1..1.. 7£It~Y F'IC K Atf.tJ PAIAL ADA/lJr SCNEIJUJ..E " -D' -oj ,,~,,4~j ~~A(£J) ,~~ Au I'IA J~,(' (!(Jm;'Ne,uTS " - I~ -01 • " - " 3 -(jl • ~-~.--- - .. -.-- ---- .. - - -.--- _. __ ... _._-_ ..._._- -----.. - .. - -_._- -- .- ..... _ .. _. - - . - _.- - - - -- . .... .. - _ . .. --.. ---.. III sz:ue: ' bI .... ~~~r"'W'"-e-~~..It:.ff1·~~ ..... U' .. ~_....v' .. ~~.-=aGI ...a'!t ... ~.. ·'WU...,..........,~  __ ~~I ... · . ....... C The HERA Project at CRNL - PETRA II k TECHNICAL SPEC~flC.4TIONS Proton Momentum Rf Frequency Particle p Assumed Bunch Area AvaiJfJble Bucket Area Cin;urnference Harmonic NlJmber Numbar of Bunches Prot()n~/Bunch Bunch Sp<:Jcing AverCl9fJ Currl'Snt Rf C'lVities Acceleration Time (approx) Tott'J1 Cycle TIme (approx) Injection Extraction 7.5 GaV/e 40 GeVle 51.663 MHz 52.032 MHz 0.9923 0.999725 0.112 eV.s 0.140 eV.s 0.266 eV.s 0.390 eV.s 2304 m 400 0-77 10" 28.8 m 0.17 A Rf VoltQ~~ (capture/accelerotion) (for adiabatic compression) Beamlina Pressure 2 120 s 240 s 100 kV 190 kV 10-9 mbar _ .......... .. . _ . .- .. ... __ .~ .. .... .,~ __ !JI .......... ' _ • • h!' .••• __ !ilU_ i; • I ~ • • I I I . : .. ~r- ~ ..:a IZ4 ~ I tJ E .. II I E +' .... § 0 .... II:! ~ o· J4&-4 At .. :!~ flIl tEl ~t • ~ &-4 I c;~ ~ ,. - I h I F l- • ~ ~rl ~ ~ ~ I '"'--I r-I III .. jill-~ I I IL ____ __ -, --" - - _ .. _._- - --- -- -• The HERA Project at CRNL - PETRA II k SUPERFISH Output Summary PETRA II Cavity with Ceramic Canty Lencth 1800 mm CaTlty Diameter 800 mm. Gap !.eDith 800 m.m. Kat.rial .Al.um1D.um. ••• oDaD.t Prequ.D.OT 51.171 11Hz Gap Volt.,. 1M) IL'9' q (unloaded) 17113 (loaded/ e.timat.) 4000 .hunt Impedance (Z=v-Y la/P) (SUPBRPISB Copper) (Real Copper (1110.8» (Alummum (*0.75» (projected. •• buDt) Pcnnr Dl •• lpatlan Maximum II.atric Plelcl (In ceramic) (outstde ceramic) LlD. ImpeclUloe (lDDer) (outer) • 1.88 lIohm.. 1.ft8 lIohma 1.18 Kohm.. 0.70 Mohln. 1.87 JeW' a.88 ll.V/m 0.88 llV/m 80 ohln. 35 ohm. • • ~~ • • • - 7 -~-- - , \ /' -.- . ~ \:f \~ . ~ \-' I.~ I~ . ~ I~ '<S J~ s::' 1::::S HERA-TM-23 Fig. 3 A schematic diagram of the external resonant tuning line concept . I/. /). 111. • - ... t 1 J \~ L • - N. O. m· s • • • • t t I . , 7 - --~-~---,.~-----The HERA Project at CRNL - PBTRA 11 --SOLID STATE n:cnER " .' . " ------41. ).---t , ~~ ., ~ER DRIYER FiNAl SPLITTER ST~£ STAGE Ft,., IIIIpl ff1er ..-r"'.-lIt. L CAYITY ._-- - - -----/ • • r=-• The HERA Project at CRNL - PETRA II Rf rOWER SUPPUES • final power amplifier: - located q~P the cavity ~ m-1xlm'ze bandwIdth f"r c" ni'm I and flfJXIl"ntty - ~tlteti nn f"t'IbtP!t. Insxpenp.1v~ ElMAC triodes - CQfXJb1e of generating 15 kW cw (only ,..qurred d",rlng the 1 00 m. Cl)m~''''~~lon pul •• ) • driver amplifier : - It)cated In cloee pmxlmrty to covlty to maximize f.erJbQck br.mdwlcfth - ahlo u... rabulrt. Inexp.,.1ve ElMAC trfoda - air-cooled • exclter : - comrnercfC31 unit. 100 W output. 50 db gain • --. k • - .... r : • ..:W • ..:W • 26 ,.. 22 f'n.. "" 20 16 16 I~ 12 10 ? F/yvle ?·O~ . ~lifl~Po.~ ( (" .... fr. S~ 0'0-' ) I .. . -"c.i ,,,,t CII\"'~O' ,.l i.uh ~ ... , .. .I ,. c 'ie. "'- A". , o"c..r .i ~ .. ~( L. cu • ~ ",) ~ .... I ~ / ~ / ,"'" . .-.::: or ./ .".-~"" v ./ ""'" ,~ ". .-.,.J. II ___ ---' V ""'--. t3 ~u) J ;7 W/ ./ \ ~\ 6 I~ ~ ~ D 2 30 28 26 24 22 ." MI>.., ·",tc. •. t .. ~ '" Av ~ .". ~ '" / ~ 20 16 IT 16 14 .a II ~ , 1/ ~ 12 o 2 3 5 ~JyP_,," (Co-f'. ~ ,'0 ... ) Ir-t' "'.I r :; tJ~ ~ ,-;l b .... ~' : I fZr 1 t irtcL.. ~ Ir :",j ~ ./ JV ~ /' ./ .~ ~ ~ 6 7 e ; ~ · 7~ .) / / V ..... '--.. .............. \.. , 7 • • IonQ IV; ~ betcnpt"Hent 5- £latCh ~nt • The HERA Project at CRNL - PETRA II co~rrROl SYSTEM * Analog Sy<::tem: - will b4 used within the rf ~m fr.r re~()nonce, phase and ~It"lq~ control k - will QIJC~pt 'nputs from th. V~ c()ntrol ~.m for the frequency, rho" and voltage programs. and cornctfv. InplJt~ to thon programs from DESY beam mt>nltor systems. * Digitol System: - will cony out automahd bJm-on and automtJted eelf-t.,st prt.>grorn~ - monitor'll th. lItabJ- f)f th .. antll,,') ..ywtem and reports to th4 mtJln HERA CC - monitors the atatwJft of (1.11 Interi"cb and •• rworw and r.~rt. to HERA CC - ,...ponde to comm<Jnd. ond request. for additional data from th. HERA CC • • " C."\ • • ,..---- -• The HERA Project at CRNL - PETRA II -w (I) liM. to locil local t-_1EEE .. 4AA eu~~---I _ ~a;n control tOfttrol disole.r -- ------!---------I cavity' 1 I I contra' f!) I -------!--------t ta~1ty • 2 I I control (J) I I J I I I] I I I I I I I t rf amo feedback , system network I I I rf.-p f~ t I systei Aetwott I I I I I I I , cavity * 1 I I c •• fty , Z I -- - -- - - ---1/ • The HERA Project at CRNL - PETRA II Beam Loadine Compensation Steady-State k - the .t.ted oa:ri.t,. Impedanoe lm.pU •• that the lener.tor current required. to .et up the fl.elda (~O leV) In the ab.eDoe ot beam wtl1 be O.033.A.. - the m.xtmum. beam ourrent wUl be 0.17"-- • detunlnl anile ot 78.8 elelne. 'W11l compensate tor beam lo.diD• (8 Jdb tor Q-4000) Transient - oanty re.pon •• Um.. - 25 p. - rn""Olutlon time - 7.7 ,. - lnterb1lDOh time - 98 na - • comp.ot rf sYltem. looated 010 •• to th. canty with broadband oontrol Q"8tem.. will allOW' tMUOi ward and. tMClbaok to handle translenta • \J • ---• FrOOl Ref. AGe -')11 3 .2 • All I 101 A.F. DI5TRlntJTI0H -9.8 l2 ·2 0.5 13.5 0.5 Il .S AnPlITU>E "EASURE"ENT FIGURE 2-1 fA5T LOOP 1 oS l2 .) CAN. m AOI PHASE "[A5URE"[~ I J'I. Ys: r-B>'Li I 1'00' PETRA U ANALOG CONTROL OVERVIEW . -' • -3 • p6<H ... 7 _1114- >6 •• <:tIN. -5 rt oe -•• 1 I ., eRN.. -6 58 71 Cavltu --AI2 13 - . \v\J '.J J ,. j .. ., • I IL -v':! '. -:'11.1 f.:,. . • :.-.... . I ..... ~ . ~ .(.,? PETRA II CBAND SIMULATION I I I I , : , , ! 1 : I I I I I I , I I 1 I I 0.0 0.5 1.0 1 . 5 2.0 2.5 3.0 10 I 8 ~ CI) w w n: 6 (!) w 0 - ~ I I - / I I 1r--1 I ...., w CI) <: 4 I a. -t) 2 - r I I _J I I - , I - I I 1 ~ ! I I i i I _ I I I r I ; ! ! ! o - -;--""'IT ,-,-- Jj---r-1-';-- '1--: -:- ~-I - ; -,-1--' - . - : -;-r- -i- ~ -,- :-~-~ -,--, : 1 I C.D D.5 I.e 1.5 2.0 2 . 5 :- } ; .• :: <. s ) J' ,.. ..... I~ • ! ; I I • ... " J J , , J ;) , J , . . -PETRA II CBAND SIMULATION • 5020 ~J I ~ ,'" ,I . ' I :~ i · .' "I j li!~ II I ;1 ~~ ; . ii ~""! II· Nt\ i~l~ I\JI ~ V--48800 I 49600 -.. · ·T-0.0 2.0 \.5 1.0 0.5 0.0 .- -- ---. . -I I 0 . 5 . I 1 I I I I I I 1 I I 1 1.0 1.5 2.0 TIME }S) I I I I I I I I I I I I I I I 2.5 3.0 -0.5-+~~~.-+-",,-.-+-.-.'-.-+-.-,,-.-+-''-~.-+-r-''-'~1 0.0 0.5 1 .0 2.0 2.5 3.0 T 11':[ <..S) • / \ • • • Pc; ( f- I ,-.., / ) L /~ 4-9 Table 4.2.1.1 (. Lattice Parameters for the Fil'e Rings Accumulator ~ Boos~er Energy (GeV) 0.44 0.44-3 Average radius (m) 34.11 34.11 Repetition rate (Hz) dc SO RF frequency (MHz) 46.1 46.1-61.1 Intensity (jJC/ pulse) 0-2 2.0 Number of cells 24 24 Num ber of superperiods 6 6 Horizontal tune 5.23 5.23 Vertical tune 6.22 6.22 Max. hor. beta (m) 14.7 IS.8 Max. vert. beta (m) 14.S IS .2 Max. dispersion (m) 6.64 3.98 Gamma transition 35.5 9.2 Dipoles Number 24 24 Length (m) 0.63 3.18 Min. field (T) 1.4 0.28 Max. field (T) 1.4 LOS Quadrupoles Number 48 48 Length (m) 0.23 0.S9 . ngths dBl dx(T/ m) 4 6.8 rifts Number 24 24 Length (m) 4.3 3.9 Correction elements : Sextupoles : number 12· 12· length 0.1 0.2 Vert. COD magnets 24 24 length 0 .1 0.2 ·If needed (see Sec. 4.2.2.(iii)) The exact choice of working point (5.23, 6.22) to allow sufficient room for the space charge tune spread between the relevant resonances is explained in Sec. 4.4.1. The one-unit difference between v x and v)' is obtained by making the 0 quadrupoles slightly longer than the F quadrupoles , With 4 cells in each superperiod, the phase advances per cell are 78.3° horizontally and 92.7° vertically. close to the optimum value for minimizing peak beta-functions and apertures. All quadrupoles have the same aperture. Figure 4.2.l.A shows the lattice functions for one superperiod and the arrangement of quadrupoles and dipoles . There are 4 dipole magnets in each superperiod 0e ing 4 half-cells and leaving the other 4 empty. The 11 Collector Driver Extender 3 3-30 30 170.55 170.55 170.55 dc 10 dc 61.1 61.1-62.9 62.9 0-10 10 10-.0 48 48 48 12 12 12 11.22 11.22 11 .22 12.18 12.18 12.18 37.7 38.1 38.1 37.4 37.S 37.1 8.15 9.09 8.51 23.65 ex: ex: 72 144 72 0.74 3.46 5 1.5 0 .16 1.8 1.5 1.30 1.8 96 96 96 0.20 1.47 0.93 7.5 9.2 14.1 24 24 24 11.0 9.7 10.2 24· 24· 24· 0.15 0.2 0.2 48 48 48 0.1 0 .2 0.2 2'+I~~~..J......~~~~~~J.......~~-+t 20 15 t \ \fi. l ~/\ !~\ ./ {3, \ / \ I / \ / / \ ./.:' (3y 10 )! Y y 1 / \' \ / \ 1\ 1\ f 1), , \ I \ I V \ / \) . / I ).,.) J ' I I. - _ \ (m) • " , \. ' \ • / v' ' " '- / ----/' . --J 1). < -, I i i i 0 " 20 JO DISTANCE (m) ~ , t ~ t t -, , , ~ , , I-, Fagure 4.2.1.A. Lattice functions and magnet arrange-ment for the Booster. • bOO KV VCL .. :r(tO.e I CAV J n' bC> KV • 7U rVE"RS (3) MEc..H-AfV,cflL • • -. • DRIVER STAGES POWER AMPLIFIER 'it-I __ --I cOUPLlNG~ L )' ----... • ALUMINA SEAL INSULATOR ell _ _ I' "_ _ J'I , BEAM -AXIS -------HIGH Zor LOW Zo VACUUM REGION REGION I It ':ll' " Ii FERRITE TUNER FER RITE CORES = (One Of Thre. Shown) 'ilure 4.1.1.1. Ioo.ter cavity. , I \.Jv -~ ~ m~~ Mt-r-~~~ ........ : f 5"'0 (;) DRI FT "t () 8-E----~~ , BUi~1 ! Ir------ ------- , , _______ ~J; < '" '." ~ 4-• C> I so 7 fI_ I:€' ; <_~ ____ D_RI=r:-=7==-_______ I 1 __ .\ I ----I , I r-------• \ ( '-:.. -~, " . -'. ~ ' I ~ . , . . .. ' L \ , \ " \ l' -___ _______ .. ___ .. ___ ____ __ _ -4f(~ 1 L 'l.f/ i:b ( • 01 o II a w a:: L1.. . • >-~ H > a: u ~ (J') w ~ w ~ H a:: 0::-w lJ.. 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A ~G-€ E I\JOJG {-I T c> '¥ l20v I 0 e ~ > I tv CMt3 '5T<JB < 'Ale To :j)II6VI De ulJdi:l~/'Il 'P~ • F€:RQ/TE VOL.uH!e • LErJ(;. rtf OF Ft£(l~c re • J-~AJ~ rtf &> F" 5,0 l3 ~1Jt;. E:.lJOtJG.I.l FI~I..D TO <: 100 (;.AVSs 1/ { ( r--____ 54 _I 1:;,--_--1_, E I ~ /2 . • • • ~ CrUBE' I( Table 1 I c ~V IrY 46. 1KHz 1.515 -j86.7n -j34.3n - j11.46n 50.OMHz 1.651 -j76.4n - j30.4n - j10. 3n 61. 1KHz 2.282 -j52.8n -j21.2n - j7 .54n 62. SMHz 2 .431 - j4 9 • 6n - j20.0n -j7.l6n TUrvER--~ !'1_ln~~ e ~ j fIl (is ~. ! - 19cm (6 rings) (~max/~min-2.611) J ff~9 ,M,4- 20 ~Qf ,,~ 'Pd.~ - ~ 46.1 MHz 8.41 54.25n 39.7" 3.78 5.78 W/cm3 50.0 MHz 6.85 49.17n 39.1° 3.43 6.58 W/cm3 61.1 MHz 3.57 36.89n 35.8° 2.57 1.36 W/cm3 62.8 MHz 3.22 35.29n 35.2° 2.46 1.33 W/cm3 Velocity Freq SLF Factor Pd (W/cm3 ) maximum ! 46.1 MHz 5.92 73.4n 31.7" 3.01 1.69 50.0 MHz 4.67 66.ln 30.9" 2.71 1.80 ( ( 62.8 MHz 1.98 46.9n 27.6" 1.93 0.31 i, ' 1 / ~ • Ztuner Ztuner stem +j22.8n +j45.6n +j20.1n +j40.1n +j13.4n +j26.8n +j12.5n +j25.0n ?d~ ?~. 2.59 W/cm3 2.97 W/cm3 0.68 W/cm3 0.67 W/cm3 Pd(W/cm3 ) 9.85 kw 11.18 kw 2.57 kw 2.54 kw Average Power (kW) .634 6.4 .698 7.1 .144 1.47 • /S ~ ::I:. til ::z: ~ I: In ~ . \h -(5\ tlIS " II ~ ~ • Ib J II! ( I • ~ t I I i " IS !!l • "I I I I LJ • J /7 • i If t ZTUBE - +12.'=.52-- @.. '+~ -I tvt 11 ~ z·o • -+ 1 \"3 -n.... @ b '2.,' <d ~~~ IJ~ 'DO t' Fe{ - + ) 3Y- \ 7 JL.. € lfb·[Ml-'r -~ J ~5" 3~....n.. @.. b L ·9M lic (2 ..A...l.6, VS. FREqUENC.Y - FOR C.A'J IT'( + TUBE + ONE TUNER to • 8 ~ - M E:ASURE D VALUE S 'r<"' CA LCUlA 1£ 0 USING- TuB~ C,.A?AC.ITY. 6 • <l • ~ 4 I • • ~t • • • • 10 15 20 25 30 :55 .i\o I=R EqUE.NC. ~ (MHl.) --... ---• • • C .. / ·'l • • £2 to 9·l --- - . -- - - - - .-_ _ h \ • 8 6 <l ~ 4 .:z.2. 2 10 CALCULA~ED ~ \ U~INc;. TueE. G-eOMEiR Y , ~ E,)(TE.R.NAL '-tOUSING ~~ S£C'iION ~ Of T . lIN£'. . . -- --. _ . 15 20 25 30 ~REq~ENC.Y (M\04~) 24.4- ""If~ • ..A.La VS. FREqUENC,Y I I I i 35 I..1'H?MHe I , - FOR C.A'J'TV + TUBE + ONE TUNER ca - M(ASURED VALUES ,",0 ~ --cJ I 18 1? 16 15 14-13 12 '\ 10J ~h . <J 81 ~ ~ '-5. ~ 3 2 --- -.A.A. b. '15 fREQUE.Nt.. Y. ",d , TRMl~""'5lI0N L.\~E EQ\JATIO'" 't E ~13 'r--"" GAAHAM REf~ E.QOATlON E -13 " " 5VPE1{~'SH l~G,£.t-J D : o C"lCULA"fED...u.,i:::. 6~~D ON I"'tEI\SuR(Mt:N'15 of 1=0 '4S BIAS c..UR~~1Ji. ll. A5 At!»OVE. • 'fJrn, £'t"f~ND~D 81AS RANG£. FR£QurNc. '( tM\-lZ-) MA~CH 21, 198b . Yz F(RRIT~ iUNER. I J c=----] _~J ---~ S'fMt1E.TR 'CAL ( NO "'TEl") ~ , o"'~ • sb 6b ~ 60 .' 100 "'0 .lo do 1~O ~, • Q • • • • o · r-N II II (,.J:t 00 0 • If) If) -II a w 0:: u.. ~ ..... H > a: u ..... (J) w r-w ..... H 0:: 0:: W u.. II W I: a: z • co ----------~~============~~ ;2/ , 11 I~ 15 14 13 12-II 10 9+ <l 8+ ~ ? fI 5 4 3 2 1 .- --.. .-. ~ARC\04 14/24) t~8b . ..A.J... ~ 'J 5 F R~QlJ£N C. Y. A/2. FERR'TE. TLlNER. 'r""'" CALCULAiEO U ' I LEGEND: o MEA5UREt1ENT5 - 14 ,LlRN~ - MAR.l4/86. a MEASuREME.N1~ - 10 iORN5 - MAR ,~/6<:'. A - -, "lEE." 'NClUD~O FREQUENC.Y (MHz) ~ • ~Io 8'0 '5io .. 110 ,to do I~O. I~O~ 100 • 90 So 70 60 -40 2.0 TUNE.R l: V5....u-~ @ ~6.1 MHz. T .l. E~ u A_""_\~O_l't_5 _---""-;' 2 8 / FERRIT~ iUNER. I . r J r · 10 12 4 12 10 ,9.2-8 6 ~ 4 2'~ 10 • 15 20 (' ; I' ; ·X3 TUNERS . 21 30 I=REqUE C"( (MHZ.) I • 39· 5" ", Wi! --.AA..~ VS. FREQUENc..y - FOR C.A'J'''''' + T06E + ONE TONER P/LOI>IFU!D ru",~rt ($ tf~.eale .. N ticK. i ~E PU'~OI 20 6 F .:rOI4C.Tlt>l\J) ~ - MEASURED VALUES '35 41\0 51·7 f'nt~ • "N --K ~~~ .. ~ ccc 55~ ¥"IIoI"I V . nn~ ~~~ ~~­~~~ ~~-xx: .. ~~ ~gg -~ < _f'ooC" • moo co ' ..,..,.., ~""''' : ...... : • [" I • ~ _~TU&E SC L-II-e.1' _~ ~tW'OO.OOO 1'tJr,t. l D.C:. eLOC:~E.~ ~I---~C£L~~AiING GAP 1 Ac.c.EL~R~"flNG GAP I I -+ - - <:. -:,W MODO TRANSITION OU1LltU. ~ : I I r-----OA.Ic;..INAL "fR""'~ITlo"" OUTLI ... E. 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U.£' : Ie e z:.(~.J.) 4~--.c <v.r~ s f • • ~'=- -I.e R.(-!~) • ~n-",.c ~y AS I~-- ~OJ'l. • '- 0. r, ~ b~Ct ,.,., C",,1' II,., I ",-.lJ..,.,..( ~t + L 1I1t~£ IN TJ:Nt/T'/ • •• • • · 01 - I 40& Co .'" ,ffc..,,(~ • i ' \" III ~~ Iri~ 'If t , I , I '1 " :w': " ~ " ", :- 8 '\ ' ".: . ',\ .... . - -" ( ' ~; I ~ , ,'- , ', " N ', " g \ ~o\ '-\:'," ~ \~ , '\:' . .. -' " \ , v) M " 7;:::r;:: ~ , , ,i, , , , i \ \ , \ \ I , \ \ : III \ \ \ -, \ , " ' ',t-, " , \' : ~\,: ' ', ~\ \ , \ ; '\ ,':' , , " i" ml - . " , ..... . Ie ~ I;::, ~ ;; I ;, rO-, -- , -, ; : :. , . , . ' " ' j , . , , , " . . ' . 7 • '."~'ft'-• ) - --~.-i· • /C,r" ~N'" , .. S~O,., .. • C ItFllill H ( C . C.It#N':C. T/.'" cA,Mrr." ,.c. IN"fJC .. ,-=-: -----t. /D • • et-t""'4~~ ( ei4~ACJr~ £aJ1)) \ I • ,..,. ""'1' . ~#tI' ." ,r'A""4~ "F! 'S~.~., J ''''~ ,,.,,-nAIttIC -rO ~U"If"N'J A. • ., II¥~c7>,tf,tIC II .,~ It". • • _ t ~&;~ ,~~,. I! " ''''11 1/01+1 -~ 1&, \ Nt.'~ • ". A w.,. .,.. "'6.c..~ r"'''It,.,''' I "'''''NA. I1'I'J I ., .~£ ttJ '''~~ If /2 • ", ! l , f • • -=---_ .. w, .,,., • " ( , • · '. ~ • • • • '.-~ . -" " (, ,'. I.: - .. ~ • • • • "( , / l.-I • . J / !-' • • / / • • • • • • • • • • ,. • • • • • • • • '" . , ~ -~lC .- .,.. - .. .. ~ . ~ ...... • • f' : .. .... --. . ,!", ~ ~ - . .. I.~ " , ~..J J " f- - ~ ,. ; ~~ - -.. I n .# ~ ... .. • . A • .. • • • • • • 4-18 which will reduce energy costs and keep the system power factor high. C I is switched out of the circuit at the start of the reset interval. when all of the energy is stored in the chokes and magnets. The resonant frequency ifl) during acceleration is then determined by the cell induc~nce and C I + C2• and the resonant frequency if2) during the reset interval is determined by the cell inductance and C1 only. DC I". + Figure 4.2.4.B. A single resonant ceU (schematic diagram). Fi 4 2 4 C Typ','cal 4-cell tnterconnection gure •••• (schematic diagram). The energy 10sses for the Booster (B) ring during each cycle are made up by a dc power supply and pulse forming network which provides a power pulse in the centre of the acceleration interval. via a primary winding on the choke. This method was proposed by J.A. Fox. Z The charging time constant of the pulsed source is chosen to minimize the pulsed power effects on the ac side of the power supply. The energy 10sses for the Driver (D) ring will be made up continuously from a programmed power supply. Schematic diagrams and waveforms illustrating these principles are shown in Figs. 4.2.4.B. 4.2.4.C and 4.2.4.0 respectively. Parameters relevant to the Booster and Driver are given in Table 4.2.4.1. I t (a) v t (b) • t (e) • t fiIwe 4.1.4.D. Waveforms (PFN charging). • THE VERIFICATION OF CALCULATIONS FOR: A· I2R LOSSES B· STEEL HYSTERESIS LOSSES C· STER EDDY CURRENT LOSSES D· COIL EDDY CURRENT LOSSES E· SYSTEM VOLTAGES AND CURRENTS F· LINE LOAD I NG AND ~N I C CONTENTS G· BEAM PIPE EDDY CURRENT LOSSES H· BEAM PIPE EDDY CURRENT EFFECTS ON THE MAGNETIC FIELD· • --e. • • ; , , , I _______ . _ ___ __ _ .. ___ ._ i-I~~~~~~~~ • 3 ,0001 ,OOJ1 -_ ._------11<10. ...... .... ...... :::",'" 000 .... '" ~~n =~ ::::: :t:tl: ...... 000 "2~ =;~ ~ ~":'f"oI i .... t ;I~i~~ - '10 I4'fLp /'..[ If) - - '10 e. - f,tv,.,k-_ J J- f~ ':2... s:-- ,c.~~ : 0; ~ \,I~. K ,L ~ c;:.. , lio;;!..:.... ,) ~e 1.5 fr~ha;~ rib ,.J ~I'~.,~ ~() f.aJ:~ 5 ) p,.'/ r:: ~ 1' ,(,) ~h~ CrrCc..ttT Slnc~ r~ ~I"I~V i,. .... sl"t.,,,u "T"COI..! Lf C4r ~ VQr(~J\.. hy wJrj' .... j E . 2..) P-s cp,\ b(l; ckser\ JJt.s~~ . 1 I~ -• • • ,e. ! • e • 3 K U 3 4 X A • • • • • • • • • • • • • • • 1.99 5.99 3.99 -1.89 -3.89 8,89 9.49 9.29 9,99 ....................................... " ................................. .. •• 11 ........... II ............... U.U .... ,,, ••• 11 ....... 11' ............................................. , .......... 11" ............................ .. Wi GNET UOLTAGElaJRRENI ........................ ".tli .... 11".11 ............ " ..... ,1,"'11'1111" IIIIIUI'IIIIII 11'1.1111'"'11 '1111111""111 l'fll."'ItI'" """ .. 1""" ............... 1111 .......... , .fI"""I"'" 1'.1111 ........ "II""'II.tI' .'"' .......... 11111'1'1'1"" 111111.1"11111 1,11111'1'1'1'1 .1I'tI"It"I., 8 16 TIME IN MS( 24 49.99) 32 • • 1.99 5.99 3.89 1.89 -1.89 -3.89 8.89 8.28 I .• 3 K U 3 4 X A • • • • 5 K A 3 4 X A • • 1.99 9.89 9.69 9.49 9.29 9.99 1.99 9.89 9.69 8.49 9.29 9.99 • • • • • • • • • • • • • ........... " ................................ ""IHI.II"" ....... .. ..... . . .. ............................ ............. N ............................. . ............... ........ , ..................... '.,1 ......... .. 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It .......... , ............ , .................... .. CH 0 KE aJRROO I MA GNET CURRENT . ..................................... . , ........ . ........... . .. . ... . ........ ...... . .... , ... ... , ....... . ......... 11 . . ............................. . .. , • •• • ••• , •• • ••• , • • •• •• " •• , .... . ....... . .... . ............ . .. , ............................................. '11 ..... 'ft, ....................... ........ .. 8 16 TIME IN MS( 24 49.89) 32 • • 1.99 9.89 8.69 9.49 8.29 8.89 9.89 8.69 8.49 9.29 8.99 • 5 K A 3 4 X A • •• • • -• • • • 4 7 I K .., " u I f '1 , 7 2 • K A • .. • • • • • • • • , 2.99 ............ , ............................................... , .................. " ........... t ........................................................ . 2.99 1.99 .................. t .......................... , ........... .. 1.99 .......................................................................................... " .......................... .. 9.99 9.99 -1.99 -1.99 -2.99 -2.89 I .................................................................................... 1 ........ .......... 1111 .......... 1 I ............................ . -3.99 33.33 HZ SWITCHED CAPACITOR VOLTAGE ICURREN! 1.68 ................................................................................................................................................... .. 8.36 1.12 II IIII ... UIII .... " .... " 1'+ ____ " -8.12 H ............ , .......................... "" I ""'''111111 " .. ,,'" ,,, ......... , ...... "" ........ ",ltlt ..... ", ""'" ...... IU, ." ..... ,It .......................................... . -1.36 ''''''''''''Itt .... 1 ....... 1" ,""","'1111 j ,,"llfll'" "'1'"'''''''' 1,,,,,".tI.111 ,,,, .. ,,.111'.1 ",,,, .. 1""" .. ........ " ............. , .. .. ·8.'8 ....... ""11 ............. ''' ... 111'' ........ f ....... 1111." ... "."" ........ " ..... , ... " ............ """ ....... "".", •••• "'" .. " ••••• ,, .. .. 8 16 TIME IN MS( 24 4i.Ia) 32 49 -3.89 1.69 8.36 1.12 -9.12 -1.36 -8.69 7 ,..., 4 7 K U 7 2 K A • • 4 K U X A • 7.99 5.99 3.89 1.89 -1.89 -3.89 1.69 i.36 9.12 -9.12 -9.36 -1.69 • • • • • • • • • • • • • • ........................................ "" ............................................................................ , ........................... .. Itll'"''"I''' .......................................... , ... 111 ...................................................................................... .. 19Q HZ CAPACI TOR UOLTAGE I CURROO ,It'"'''''"''' tl ..... ' ..................................................... __ . . ......... ........................... ", .. ,.It., ............... .. , ........................... ....... ........ , ............ ". , ......... '1. " , ........... I .............. I I ........... .. .. ' ...... II ............. 1111 tllIl ............... " ........ tI" ......... II III ....... ' .. til ....................... .. 1 11111 ' 11'''''' ... 1 1 .......... 1.1' ... .. .. ". " 'III,, ' I .U ""." •• It .... 1111''''''''1'' ""I "'fI"'" 'fllll ..... 'ln ,.1 .. " ........... " .... llft 11 .. '11 ........ IlfI ......... " ........... '1 ...... 11.11.1 11 11 11 ....... ' •• '" 1.II.flll •• II" I''''U'''''''I • .,' It .. II.'I" 1111111 ........ 1'"""''''ltI 8 16 TIME IN MS( 24 49.99) 32 • • 7.99 5.99 3.99 1.89 -1.99 -3.99 i.69 i.36 i.12 -i.12 -8.36 -i.69 4 K U 6 K A • • ". . < . :j-;oj. • • 2 x u 3 7 • :. 2 " t \ .. • X A • • : ~ . ,.t--.-.... - ..... -._ ... ~ ... -..,._ . • • • .. 7.99 5.99 3.89 1.89 -1.1l -3 .• 8.68 8.36 9.12 -9.12 -8.36 -8.68 • • • • • • -............................................................................... , ................ _ ................................................... .. ............................................................ ''''"U.ftll, .......................................... ,,, ............ ' ... 1 ......... 1, ...... _ . .. ......................................................... .. SWITCH UOLTAGE I ClIREH! , ............................................ ' •• 11 ....... 1 .. II" .... " ..... ,u"",''' ' 111 '.n ......................... , ............................ .. I' ...... ' ... ,',. "III.U"I'I" .'ItI.".'I .... 111 ..... 1 1 11." 11111'.1111 •• 11 'III ........................................ . IIUllttl' ,,, .... , .................................. , .. .. 1 ........ 111 .... U .. " . I."+-___ o+ .. "+-____ .... ', ............ t ........... . ........ " ................................... t ............................................. , " .......... ..... _ ................................... . .......... IIII ...................... , ........ tt .................................. ' ... . .. 11 ••• 111t.1I"'" ........ ....................................... 11 .................. " .................... .. I 16 TIME IN !IIS( 24 49.99) 32 7.99 5.99 3.89 -1.99 -3.99 8.69 8.36 8.12 -9.12 -9.36 -9.69 2 x u 7 2 X A , t . ~ ~2 5 (,j~ 6 ~ 12 ~ L , . A ~, .1B ~.JB ~ , 5~ ., "e : . ~ :5 :.J~ 6 :.1e X A ; .1e ,3e ,se • I /0 ~ .- .- . . _---~-~ .- -_. -_.--_._ ... - - ~ -.-~~.--__ .-___ I • • t • • • • ) ) ) DIODE fOR HI:GCUEREln COED~CII ON • _ . .ol~ 10DD.7Uf r ff:(lr l -'/\:,\-2 1~5-------"'-··-1 l nr"'J'oJ I C:5HiH 112:" WJ J .0001 . WUl~ , ~ tli .~ T ~ ~ ~ ~ 6 S" 7 ~ , O~ 2 .( . 0001 .l. [10 1,,:-,. l, I ...... -~ I,.i ; I T· ~"., I .1' , i , • • • II • 6 e.53 ........... ".................................................................................................................................... ..... e,S3 6 7 e,3B ............................................................................... "",, .............. " ........... 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' III. u" ___ .... _ ..... __ _ 20 4G 6G 80 IGG TIME IN MS( lGG.Ge) • • • 5.90 4.ee 3.eG 2.~e 1.GG 0.~3 0.50 0.40 9.30 9.20 0.10 9.GB • 5 )( u 7 -8 K A • ~:L /J"",' r. () __ ~ 2.0- "XI) 2.. -' -/~ - !C,OI = 7{)() \1.../ etc,.,... '--- ~ II~ .:=... 1 2J5 w -r:. . 0 ~ ~-c. ~ 2.O J ' chi I e:s _ , ....,--r->() ~ • 8.A/v~ .~~~ ~ ~ ~ ~ #- /5 ~?>~ ~ 70,) ~! ( /5'<" ~I ':; ~ ,A::~) ~ - ~rr ~..J... .,;"'- c1' ~ k Co' '-~ 5~"-';(3:.uJ:",») - 5'1-t/-v'o~!~ • ~ ~ .... •• • I .... . • \ \ , \ J<. · (Zf:ir;; if KEK-74-7 tt DESIGN STUDIES FOR .. , : ~ ·THE ·KEK BOOSTER MAGNET POWER SUPPLY .. ' 4 !, • . . " . . ~ '. " .' " . , ••••  . ; .. . ~. • • ' I " Koji TAKIKAWA and Hiroshi SASAKI AUGUST 1974 NATIDNAL LABORATORY FOR HIGH ENERGY PHYSICS OHO - MACHI. TSUKU8A . GUN 18ARAKI. JAPAN LF Lp • • --+ 1 ir 1 ip 1 f VS YF Vchl ! CF ! l Ce Ge Le FIG.3 • t t FIG.4 • • • • 0 o U' -o -U' 0 • ID .--j"" ;;: X> I '" '" • ~ r < < ... -1r" < • • ," ; 0/ / / -.. " o o II' ~ n o '" o .,,-. 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Qx t 'ract t' 0 n se pflA.W1 /r1Qs 1-0 0 h~ pG sit j C n (J 5 lA-l..l-, fL, ~f +l, ~ ~f({6 /( OCC( t-V? ~~ .{.' u. V -J-L'1 t,,· a ~ q yr.· D L-v1 ( + l { d z's f ( v s. i 0 VI (S 0 V\C 1-1 t: e ''C o. ~ W C{.Vlf ~ k 0 '3 ( v L > C. <;41<p" J [f ( c ( It' (' 0 I 7. Q n c! :' 1. C I h1 e IE..~ t' o..~\C' ~ at f~e /(.~,S, 1- /YV1Cl7 (1 (;..t,'c sepf((CA1. Tli e #z ('c4 ./t.e (( c r f~ e w; r e.~ (:~ ICC f'! lA/1 ) +h f- q C( ,.J 1.. ~ /1 vvt VVt ~ c' J f. J EXTENDER RING; 30 GEV .. 0 o 50 1)0 150 200 "Yt- ...... ----- DISTANCE (m) 250 JOO •• - 2.83 ." - 3.29 (" o· 01 () ~ + . 0 s- t ~ -." o 5~---.,r----"-----'-1--~ I. 2.5 r-- -E 0 r-- --2.5 r--I  I I -." o I -5~--~1L---~~----~1r-1---25-' 50 -50 -25 0 1 X (mm) Xs 5~---'-----'-----r----, II. 2.5 . ·r· .... -..:' ... \ .... ~ I E 0 \'" U I Sial . H ... 1'~ n. .. I ... '" - .... I )( -2.5 .... ... --.~? I ,"-.2 I . ' I I I -5L---~L---~----~r---~50 -50 -25 0 251 5~---'1-----T,-----r-,---, ." o 2.5 r--~ 0 >-E -2 .5 r--III. -... " .. ·t " .... 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S . 13VT ~~ I~~ ~ '?iz~! m2~~~~~ • ,~~~ ~ ~ f:f:.;a~ 6±n-fk,/ U ~ ~ f:Ef. rL~~ ~ JtG, C~~. ~.1vuJ 1f~ }f~ ~ I~ M7 9 (lffts-) p. ttTr/ .~ -;'{r"4~~~~/:;}" .. ;: ;~~. ~:::-: ? ~ ':~ .. :-'. ," ..... ~ . ~ . f t ;)jI-~ .-~-.".'---Cl-276 --Fig. 4 - Losses in coils o..9A. o..9B Ind o..I0B. The diff~~ces can be ascribed to different fil.ent sizes .nd different quantities of conductor in tile coil. Tlble III o..9Sa D-9A llyers 1+2 layers 3+4 Cab le Length (.) 194 370 215 163 No. Strands 27 23 21 23 Oi I. Strlnds (l1'li\ ) .80 .67 .75 .67 Cu: S.C. O...!S 1.5 1.06 1.3 No. Fi lanents ~ ) 2.lDO... , 620 500 .--~ Filanent Oh'J\IIII) 2'9.li . 9.39 • 21.3 20.1 Vol. Cable (c ) 5.45xl03 3--.-09xloJ 2.06doJ 1.37xloJ Vol. S.C. (cm3) 2.9~103 1.24xloJ 1.00xloJ O.59xl03 I. for o..9B use VS.C. - 1.59xl0J.c.3 -d _ 20.7 .... lo-lOB (JeDl S.C. )'G-1J0B ~1»-lO8 Lo..9A - (Weal S~C. )'lD-!M ~ - 7.44 Lo..9B ('1D1 S.C. )'lD-~ 40.-98 LD-tA • (WolDl S.C. )1»-'" ~ - 2.83 The d(lllinant hctor ill Wtl1lra-cab·le CQuipl ;"'9 loss is the contact resistance It the strand cross-ever polnts. As pressure Oft the cable increases this contact resist-ance decreases _ tlrloe quadrat ic t~ losses increase. The observed coupl ing losses in fig. 4 we lI.ualirtl'ti.vel'Y iln 19"eeRent with the prec(lllpression Ipplied during lIIanuhcture. lII&gnet D-9A had 1Ihe most CiJllpress he pre-stress, o..9B less, and o..I0B Ule lust. eA6 ~ are in the o: i :l bores. ::t\. o-9A an· '~e conductor • 'it a 1. 0 c .. ~nnds of O. " 023") conc .~' the inner ::TIplete. anc "lie o-lOA c( ~imilar ~n ( \tctiOn 1n F \und the ab The conduct: Intermagnet ' to 3 11m di If Tile first t 90th o-9C mea. nt ene ot our nt' The author conduct ing C. Peters, R. Hannafc 1- ,he Fern. pp. 2 . H. on I 3. G. Dip 191: 4. N. 1 00 1a an Pr Fe .~i Nt e ,e Cl __ 7W JOURNAL DE PHYSiQUE • _ (Tj,) eJ .. -, "-·r.,.) c a6/ -% (-f'! • C/ _ • c/ _ ... ,. Fig~ -4 - SO /lIz. losses in BG/ 14496, B2/ 13068 GrId B15/ 14496 composirtJes. t" Figure 5 - Superconducting conductor volume which can be wed at 50 Hz. with a 1 kW cold refrigeration power • ..,.. /4/, to 2.2 liters in 1982, with the BG/14496 compo-site, and to 14 liters in In] with the BI.5/14496 com ..2}te..!Ai",T peak value, the improvment IS more tremendous since this volume has been multiplied by 300 between 1979 and 1983. v. CONCLUSIONS The results, which have been obtained on new Nb Ti composites during the last months, show that the pos-sibility of applications of superconductivity in A.C. current equipments breaks out. Most important result~ of our studies can be summarized as follow: - High critical current densities have been achieved on very fine Nb Ti . filaments : 1.9.5 10.5 A/cm2 at , T. - Good magnetic stability has been obtained without Cu between the filaments, providing that filament and composite diameters are small enough. - Cooling condition of the conductor is a major para-meter fOf' superconducting composite A.C. use. Thus. .,i th good cooling conditions, the 50 Hz. quenching Cl!Irrent of '!'he coil wound from our best composite is only 4 % Jower man the D.C. quenchil)S current. .50 Hz. steady state losses, under 1 • .5 T peak value magnetic induction, are equal to 140 '« /Iiter in our best composite. "'e guess to develop ne ..... composites in which losses should be 10 times lo .... ·er thanks to. suitable choice of filaments and composite diameter;. of the twist pitCh length and of the composite struc-ture. The results we obtained allow to consider aJte ~ ' nators with superconducting rotor and armature "'in-dings and, in a general way, they open very !le'" pI': ' pects fOf' industrial applications of superconductil'it, i~ fast pulsed magnets and in A.C. current devices .' AMID.... 181ll The Cluthors thank J.P. TA VERGNIER, G. BOTTI.\; ~ ,,'. tfEBER for their Cl$Sistance in obtaining the rt;' -ted e%perimental results. 11/ ,.nll.IEII. A. - c __ ............... _~ ........ conducl .... /lrtprigM .. regi"" ,",""bI •• nw.. --~ .' . 1%1 IIIL.ASNl!I( J. ........... on ,toC _ .. ~._ IIT1It_ (lNII /JI OCASA'RA·II' T. and 01. - Lo ..... N~Ti MUlIi(iJe ..... r.ry ...... I~ ..a.ctor (or AC. _. IE£E Vol. ".~ I' 0'1 • I'll FEVRI£R A. and 01. 8 lit __ CJ')OIVmic ....... _, •• c.t(..ww:e. <Ano'"'. (INO) /51 FEVRI£R A. - 1. ....... in a 1 __ MUll i(iJe ...... lAlry _~ing compositt .-iltel 10 _., .... ItIIl U-~' -lit. _~ti(' ~ C"..,.,ucs, ~ IlJII3. Po 1.5. 16/ • DUBOTS P . .iru1 01 • • 11ft. ........ '_1 ~c ............... (-.ce. c-o.., (lNOJ. /7/ HLA'5NIK 1., SEIBT l . lli. : SO .z. ac...., .. ~w eeaa 1IItIt..aa.d.....u fiM fijalMnt. n COIfIIIOIIr"rr'·~· to I ToesIII .... ~ (/.3). /81 SftBRI£ J.L. - _ibllity ., .... A.C-.... _otiWty ~ (flU c..(-.:.). I'-L l ~: 1 . --~-... .j. ------~----_ .- ............................. --~,\,t~'r~ s t: so II~ D The first defonaation is ~ew-ally achieved by hot extrW'$i411!1 CI)·r by cold hydrostatic extrusiol!1 a~ each fabrication process. The ho~ extrusion and the inter_diate a-n-neals lead to creating of herd mif-fusion inter~etallic layers aRd/or nodules on the filaaents, especial-t 12 ly when NbTi in Cu-Ni and Nb or V ~~~~.- in bronze are heated to teaperatu-res above 500 °C. These interaetal-lic incrustations are not ductile and ~ake difficulties at wire dra-wing. Their diaensions li~it the smallest dia~eter obtainable. The-refore, precautions .ust be taken to minimize their occurence and si-ze in the filaaents. F1g. 1 - Sche.atic expanded view of a .ultiple co.paction process coaposite This can be done by using hydroextrusion or drawing on large drawbenches for the pri.ary deforaation as well as by the choice of appro-priate technology eliainating the anneals and/ or excessive temperatures at the pri.ary de-formation and annealings. Exa.ples of such technologies are the external tin diffusion process ~~ at which the tin is introduced into the co~posite after the drawing process is finished, the Nb tube .ethod (26,27J , or the internal tin core process &28,2S1) in which a~l components are in highly ductile fora du-r~ng the wire drawing. 1 i Another way how to obtain very thin fila-~ents and to lower the AC losses in field with one well defined direction is to - flatten the multifilamentary wire by rolling. "-an fila-~ent tickness, as well as loss reduction of factor 3 in one step has been proved experi-mentally by this method [3Q]. However, it is to be pointed out that for vectors § not stron-gly parallel to the tape plane tha losses can increase very rapidly [33.). tl The ·in situ· process in which the Nb or V ilaments are foraed directly in the ingot bu k by ther~al precipitation, as well as the powder aetallurgy process have the drawb/ks of nOR-continuous and irregular filaaent cross-section and of their microscopically inhomoge-neous distribution. Both the effects can be partially eliminated by high teaperature gra-dient solidification (32J. The lower Ii.it of tedhnically substantiated decreasing of d .it~-out deteriorating the critical para .. ters ~f the superconductor is due to the proxi.ity .f-(fect. This limit 18 d1.8(S( Is- the .uperconOuc-. tor coherence length). Thia .eana d > 40 n. for !l Nbl'i and d> 20 nm for Nb35n. Hore details ara gi1n below. At the present ti.e the finest fil.men~ NbTi composites with n- 10 thousands to 10 mil-lions fi18~ents with d- 20-500 nm and 0-0.1 -0.5. a. are obtained on laboratory acale in lengths of 10 to some 100 m [33-36,55]. Figure 2 shows cross-section views of OonFTI conduc-tor with 9.4 millions 60 n~ thick filament at different ~agnifications. The Alstho~ Atlen-tique Company in collaboration with Laboratoi-res de Harcoussis has reached the sta~ of an industrial production of the .< •••• - . -w;,. ... n-n ...... - - . -------- ... -... . . out, that the hysteresis los.es are in .o.e composites much higher than given by ax. (1). The discussion about this effect will be pre-sented below. Tables I and III give .ore in-for.ations about the .odern fine fila.ent .u-perconductor co.posites. Decreasing the twist pitch length f Beca~1Se of tne .. chanical atress arising \ at twistin9. t~e twist pitch length Ip usually l has to be iIligjher than (7-10)0 when fil .. ent i bre • . kiJ'l.g irla$ to IDe avoided. However 1f adequa-i te me.asu·res a 're taken, i.e a gQod etate of 1, 1D1a·sticity of ttle .ire co.ponent. as well a. appr0tDriate ratio of the twisting and diea.ur reduction rates, lp<70 can be obtained. Speciel study of this question performed on NbTi fine filaaent co.posHes [3EU resulted in very s.all decrease of Ic at 1 as amall as (3-4)0 ( I c.-5% at Ip/0-4 ~nd -15% at Ip(0-3 - ••• Fig. 3). One ten hope, that auch •• all 1 /0 will be obtained for other .ultifilementiry auperconduc t ors, too. --- 1 ~ .... .~~ """ ,. ,. - • .15 CI ~ n &. - t5 -u t-4 ~ Q2S -0 i ~ I J ! V /' .... Go 4 6 8 'P /O 2 Fig. 3 - To"ist pitch length dependence of lIe for S15/ 14496 wires: --- class1c~~ technology. ___ new t.e"'"nlnn~ i I I <'0 • ---1.~.J ,i-, <t ~. ~ --I ~ ~ ~ • r)vt .~~~~~ ~~: ~.~t!:;nxt4-'Y;~ ~ SP"!s- 4~~ -c..o ~~ "tr ~ ~ ~~ "JU~. A p;(w, €;I? ti£;/.AA ~r C!-I ~J ~ A..~-f ~ . • -- _~J'-. lI $-/ ~ ~ .&4~-u-J. ~ c:t..~ . .on-_ - ,-- iZiiI ~ ~~ ~ 'i--I~~~f:;::t.~~ ~~. /99:J.a,-J~~~~~~~~ ~ ~ CER";",~ &-v-.J-~  ~4I ~~.=t;~~~~~. fo #~~ >" MUS. cd ---ct -lA .. -- .. ---rRJU"1F~J~~~ ~-. _ bf~ TRI.-IOO ~aA ~ ~~  -/~A-~"'-~~ ~'-'/~. 9a~ ~) ~C~~~---!~~~~ f;q~,/~~ .. J-)~~ ~-/rL~~ h-.~ ~ ~~ a.. ~.d..~.G~ ,~ 'r'w~ J..J~ ~~ • "\ f, I· . ! JI ..,. . . C.) .A--~~i J .A./." ,, __ .:;:-....,..,.,------. c.--n 7.,/_.. J'~~-...;w'.."",.-'-..:-'~ ,..,." .. i - • J", I Ct.' ... .:...J.r-..;...,_ --,. ;... .. ~;..~:.~,.",.. ... ,;,~ ... ~,.,. .... ~ _C:~ J.~; ~ _ c ~ y I ------- --~ h ;I~~'~·~5 ~ ~~t-~J:c ~ ~t "1~"'" ::rN ~ ry -U..r, S' ~ c ~g""-~-~....:... '>7/~,19N(r~~ j'¥t .,:{,/~ /1£ J3 (~,~" E~~-? t3~)) -rR:::r - I E.!!- ~k ... -~., ~4~ -- - _ ... ~ ~1 ,.,..,..~ ... ~ "3 .2 S- ~ ;t;-:C~ . 1 "'h-~.-~ (7:2.) ;L 3 ~ '1'-& ~ .k [;'lJ-~ ~ .&J:.~-..-.-~, ~~ 1/ ,, -00 ~ q, -~~~~~,~ . .I ~ ~ ~~t,...}~ .. ~~-o ~ a~ 1- J ') g~ 6 - '"3 ~ 2 GO -h %'" 700 h 7/ '3 a 0 J.t 3 .. ~ C' 0 .Jt ~. 7 c,,-J 0 ..h. Cf.A oj J q 9 .2. - - - - - - ~ ·6 ~ :z oc:- A ,,-~ .. I()c -~ ?f'b: IO~ aOD ~~ IZ o:r ...t..-Ct. 9)fa,.~~~.~ ~A""~_~ • • 

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