DYNAMIC PATTERN RECOGNITION OF ACCELERATOR FACILITIES*

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1 YNAMC PATTERN RECOGNTON OF ACCEERATOR FACTES* Fegag JN, Togao WANG, Yufeg SH - SUST, Saog, Ca, 709 Mce MAYOU, Jea-Perre QUESNE - CERN, Geeva, Swtera ABSTRACT ts paper, some ew eas about te amc stuato of acceerator, amc patter recogto, are bref trouce. Some mportat statstca parameters about te stuato escrpto, stabt evauato a amc aass of acceerator are presete from te pot of a surveor. A ver usefu meto or proceure use to te moto aass of te grou a te support sstem was creatve eveope a as bee use to te stabt evauato a te eformato aass of arge Eectro Postro Coer EP) CERN.. NTROUCTON A partce acceerator pas a ver mportat roe partce psc epermet. Wt te eveopmet of partce pscs, ts scae becomes arger a arger, 3 m og for a stragt acceerator a 0 m of ameter for a crce acceerator. strumets a metos of more precse agmet are requre. Facg ts ew caege, eperts eveope ma speca strumets a metos to eep acceerator o te ecessar stuato, a aso te are force to pa a speca atteto to ts stabt a stu carefu te factors tat ca cause ts stabt, suc as rasom spacemets of te eart s crust grou moto), vbrato, foor s eformato a spacemet of austabe support sstem etc. Because pscsts a egeers cocer ver muc about te acceerator s stuato, te epect to ave a tecque tat ca be use to escrbe vsua a quattatve ts stabt a ts amc stuato. Te epect aso to ave a meto use to aase amc process a fueta factors orer to cotro or mprove ts ustabe stuato. Ma eperts a ot of effectve wor o te effects of grou moto o acceerators []~[0]. Te mpacts of vbrato were aso muc scusse [0]. Some peope stue te eformato a amc stuato of acceerators []~[0]. From te pot of egeerg eformato motorg a aass, te autors stue te stabt of EP CERN [7]~[0]. Some postve resuts are obtae. Ts paper presets our wor o ts topc. Te ma purpose * Te proect supporte b Natoa Natura Scece Fouato of Ca ) SUST: Saog Uverst of Scece a Tecoog ; CERN aboratore Europée pour a Psque es Partcues :

2 of ts paper s to scuss wt oter coeagues a f a practca meto or tecque tat ca be use to evauate a escrbe te stabt of acceerators. Mabe, some usefu parameters ca be fou to quattatve escrbe ter amc stuato. Aoter purpose s to scuss wt oter coeagues ow to correct eterme wat eas to te stabt of acceerators a ow to cotro or avo t so tat acceerators ru safe. Ts paper eas wt te eformato of base foor a te spacemet of austabe support sstem. Some parameters use to evauate a escrbe te stabt are propose foowg our epereces from te stu a appcato o EP at CERN.. REAGNMENT OF ACCEERATOR Te stabt of acceerator epes o ma factors. Te ca be summare up to two s foowg ts structure. Oe s te stabt of ts base a aoter s te support sstem. Te former cues grou moto raom), crusta movemet a eformato, spacemet a eformato of ma-mae base. Te ater meas te stabt of austmet evce gr) a of support bracet. From te amc actvtes of acceerator, orota or vertca Fg. EP/CERN spacemet, varatos of ogtua tt or attua tt est te ustabe case. Te ca stort te geometrca form of beam e so tat te eerg of partces s reuce ureasoab. Mabe, acceerator cou be broe te worse case.. Structura features of acceerator a reagmet measuremet A Acceerator s a group of magets we age aog a esge as See Fg. a Fg.). Eac of tem s coecte troug a austabe evce wt a support bracet. Ts bracet s fe rg o a ma-mae base foor). Usua, ts base s put o a aer t ca be absorb some mcro eformato of roc base), wc s ocate o te beroc. Tere are two surveg pots o eac of eemet maget). t s to use tose pots to sta a eemets o ter eact posto troug a process cae agmet. Geera, agmet or reagmet s reae troug a surveg cotro etwor pots ear b. Te surveg cotro etwors are ve to four categores:. Stragt traverse for stragt acceerators.. Traguar a tratera etwor for crce acceerators of a sma ameter ess ta 00 m). 3. Compe traverse for crce acceerators of a meum ameter

3 ess ta 000 m) See Fg.). 4. Offset traverse for arge crce acceerators See Fg.). Te traverse pots offer ot o te orota coorates but aso te vertca coorate. Wt te same tme of precse postog eemets, ter attua tts are aso precse sette foowg ter esge vaues.. Reagmet a movemet aass After staato, a reagmet measuremet sou be reae peroca. For sma acceerators, raa a vertca reagmets are usua carre out for cecg ts stabt. A some of eemets move far awa from ter esge posto sou be auste or move bac to ter Fg. EP/CERN esge posto. For arge acceerators, a reatve reagmet s reae a some of eemets move far awa from ter egbours are cosere to reag for te eepg te beam e smootg. Te reagmets cue te orota, te vertca a te attua tt. Some tmes oe of tem e.g. vertca reagmet) cou be oe aoe foowg requremet. Te purpose of reagmet s to evauate weter te eemets move or ot, wc oe move, ow muc t move a ow t move. ato, tere are aso muc more mportat wors wt reagmet measuremet: F some compreesve a quattatve parameters as ees to evauate te stabt of acceerator. Aase te correato features amog spacemets tme, space, area a stace. Estabs a moe to escrbe tose features. Aass te sources te spacemets come from. eterme wc are te e sources so tat a effectve measure ca be fou to cotro or reuce ter fuece o te stabt. Wt te wor o EP CERN a eperece o eformato motorg, autors ave bee stug o tese ssues. Some postve resuts are obtae. Here o a ecage wt oter coeagues. 3. STABTY ANAYSS MOE Tere are tree e probems acceerator s stabt aass:. F te parameters, wc ca cear preset te geometrca stuato of acceerator.. Estabs some ees, wc ca evauate te stabtes of te etre acceerator a te part of acceerator. 3. Reuce te affect of surveg sstematc errors come from strumets a from metos) o te stabt evauato. 3. escrpto parameters of acceerator stabt

4 Foowg te structura features of acceerator a te surveg meto, four fferet parameters are aopte te stabt aass:. Mea Square Error MSE) of te coorate fferece betwee two agmets.. Mea of te absoute vaues of te fferece of ogtua tts betwee two reagmets. 3. Mea of te absoute vaues of te fferece of eformatos betwee two reagmets. 4. Mea of te absoute vaues of te fferece of attua tts betwee two reagmets. Here te frst tree are scusse. 3.. Coorate fferece betwee two reagmets---spacemet t For a t reagmets, te coorates of te pot are ) a ). Name, te coorate of te pot are ) a ),,, ). Te coorate ffereces are, a. Tose parameters preset cear te amc stuato of te pot. Tae MSE of tose ffereces to escrbe te amc stuato of woe acceerator: σ ˆ ) ) ) ) ) σ ˆ ) ) ) ) ) σ ˆ ) ) ) ) 3) Were ˆ σ, ˆ σ a σ ˆ are respectve MSE tree fferet aes. Suppose ter teoretca vaues are respectve σ, σ a σ, we ave σ χ ) σˆ, ˆ σ σ χ ) a σˆ σ χ ). Terefore, troug a statstca test we ca eterme weter te movemet of acceerator aog te as s evet. Ts test gves us a vew over woe acceerator, but t caot preset te formato about a few move pots. Ts meto ca aso be use for te stabt evauato of a part of acceerator feb. 3.. fferece of ogtua tt cato At frst, a efto of ogtua tt s wrtte as:

5 4) 5) 6) Were s te stace betwee te pot a te pot., a are te ogtua tts betwee two pots at t reagmet. f, a, t meas tere s o cage o tt. Suppose o, o a o be ter ta vaues, te catos varato rate) of tt at t reagmet are efe as ) o, ) o a ) o. Ter Mea of te absoute vaues: ) ) )) o 7) ) ) )) o 8) ) ) )) o 9) 3..3 Aguar varato eformato orer to ustrate te form cage of acceerator, a age s use as a eampe. From Fg. 3, a age s at t reagmet a cage to at t reagmet. Te form cage ca be epresse b Age Cage rate, cae eformato: )) ) 0) )) ) )

6 ) )) ) f o 0, o 0 a o 0 o meas ta), tere s o eformato at a wt ts age. So, t ca preset te form cage of acceerator. Tae mea of absoute vaues for etre acceerator: )) ) o o )) )) 3) )) ) o o )) )) 4) )) ) o o )) )) 5) Test /.56) Subsece cato eformato ' ' Fg. 4 Fg. 3 cato a eformato ave te foowg features: cato escrbes te cage of ogtua tt. t ca be use to evauate te stabt of woe acceerator a te stabt of a part of acceerator. eformato escrbes te form cage of acceerator. t ca be use to evauate te stabt of woe acceerator a te stabt of a part of acceerator. f fferet cacuato stace s seecte, cato a eformato ca preset te amc stuato of acceerator from arge cage to sma cage, for eampe to evauate te stabt of eemet a te stabt of te base foor). t ca be prove teoretca tat MQ ) MQ ) MQ ) te cato s te ffereta of te spacemet, te eformato E S E S E S s te ffereta of te cato [7 ] See Fg.4). Reuce great te affects of te S-E) S-E) sstematc errors comg from E-S) E-S) E-S) Fg. 5

7 surveg strumets a surveg metos so tat t ca more reab preset te amc stuato. 4. EXAMPE [7]-[] Te meto was use to EP CERN). Some postve resuts are obtae. 4. Vertca cato a vertca eformato orer to aase te stabt a amc feature of maget E-S) a of base S-E), cato a eformato were cacuate foowg ts structura features Fg.5). Fg.6 sows us te stuato o cato of te eemet a te base. Fg.7 sows us te stuato o eformato of te eemet a te base. cato ra).80e E E- 04.0E E E E E E- 05 cato escrpto of EP Mea Absoute Vaue) E-S S-E eformato ra/m) 7.00E E E E E-06.00E-06.00E-06 eformato escrpto of EP Mea Absoute Vaue) Fg. 5 E-S S-E Year Year Fg. 6 Fg. 7 Some cocusos ca be erve as: cato strbuto of EP from 99 to 999 ) PUT7 -- PUT8: E -- S Te cato of te 6.00E-03 quarupoes E-S) as bee 5.00E-03 creasg from 99 to E E-03 wt a average spee of E-03 mra/ear. Te cato.00e-03 crease recto of eac quarupoe s correspoet to -.00E E-03 ts cato. Ts aso meas -3.00E-03 tat a sstematc movemet -4.00E-03 ACCUMUATE STANCE m) ests o qarupoessee Fg. 8). Fg. 8 Te cato betwee two quarupoes S-E) as bee creasg from 99 to 999 wt a average spee of mra/ear. Ts sows a sstematc movemet ests o te foor of te tue. f we covert t to a egt fferece betwee two successve quarupoes, t wou be 0.04 mm/ear. NCNATON VAUE ra) ec-9 ec-93 ec-94 ec-95 ec-96 ec-97 ec-98 ec-99

8 Te eformato foowg te quarupoes E-S) as bee varg from 99 to 999 wt a average spee of mra/m)/ear. Te eformato crease recto s correspoet to ts orga eformato vaue. Te eformatos foowg te quarupoes S-E) as bee varg from 99 to 999 wt a average spee of mra/m)/ear. Te eformato crease recto s correspoet to ts orga eformato vaue. Te aass o actua stuato of eac secto base o EVENG PRECSON sows see Fg.9 a Fg.0): Te cato varato a te eformato varato este aog te woe tue of EP foowg stug o te catos of S-E. Te sectos 7 a 8 ave a evet cato varato of quarupoes. Te sectos, 3 a 7 ave evet eformato varato foowg stug o te catos of E-S. Te sectos, 3, 7 a 8 are more actve ta oters. Accumuate eformato Varato of EP 9-97) Accumuate cato Varato of EP 9-97) 4.50E-06 Accumuate Varato ra/m) 4.00E E E-06.50E-06.00E-06.50E-06.00E E-07 E-S S-E Accumuate Varato ra) 8.00E E E E E E-05.00E-05.00E-05 E-S S-E secto secto secto 3 secto 4 secto 5 secto 6 secto 7 secto 8 mea secto secto secto 3 secto 4 secto 5 secto 6 secto 7 secto 8 mea Secto Secto Fg. 9 Fg etermato of eforme oe Usg te features a strbuto of cato a eformato, eforme oes ca be fou. Foowg te aass o EP, 7 oes were fou. Fg. Fg.4 sows us te amc stuato o cato a eformato wt two of te eforme oes. Te amc stuato fferet ate ca be cear vewe from tose fgures. 5. CONCUSONS Meas of Absoute Vaues of cato a eformato are goo parameters to escrbe te amc stuato for ear/curvear obects. Te ca be use to evauate stabt of tose obects o combato of surveg precso toerace). Wt te ep of ter fuctoa reatosps, te amc features ca be aase a correct f te eforme oes. Ts meto ca be use te stabt evauato of ear equpmet a structura egeerg rawa, g wa, brge, tue a acceerator). Te eformato

9 aass of fferet magtue ca be reae b cage te cacuato stace. t ca be use to evauate te stabtes of te woe or part acceerator. t ca be use to evauate te stabt of eemet tsef a te stabt of te support sstem usg tose measuremets of te pots o te eemets. t ca be use to aase te eformato a spacemet of eemet tsef a te eformato a spacemet of te support sstem usg tose measuremets of te pots o te eemets. Vertca cato Zoe S7-A- of EP Vertca eformato Zoe S7-A- of EP.50E-04.00E-06 Vertca cato ra).00e E E Vertca eformato ra/m) 8.00E E E-07.00E E E E E-07 Accumuate stace m) Accumuate stace m) Fg. Fg. Vertca cato Zoe S-A- of EP Vertca eformato Zoe S-A- of EP 6.00E E-07 Vertca caro ra) 4.00E-05.00E E E Vertca eformato ra/m) 4.00E-07.00E E E-05 Accumuate stace m) -4.00E-07 Accumuate stace m) Fg. 3 Fg REFERENCES [] G.E.Fser a M.Maou, Some Tougts o ear Coer Agmet a Mecaca Stabt, CC ote 6, CERN, Geeva, 988. [] Vamr Stsev, Space-Tme Grou ffuso: Te AT aw for Acceerators. Reports at te Fourt teratoa Worsop o Acceerator Agmet, WAA 95, Tsuuba, Nov. 4-7, 995, PP [3] Sgeru Taea et a, Sow Grou Moto a arge Future Acceerator, EPAC 96, Stges, 996,KEK Preprt [4] A. Ser, Grou Moto Stues wt Respect to ac Performace, Proc. NAC96, CERN96-07 [5] Bruo Esparo, Nveemet et "ssage" es Gras Acceerateurs-Aass es Movemets, Memore Ju 997.

10 [6] Sgeru Taea et a, Grou Moto Stues for arge Future ear Coers, PAC 97, Vacouver, 997, KEK Preprt [7] A. Verer, About te AT aw. Beam Pscs Note 30, Jue 999. [8] Sgeru Taea et a, Compesato for coeret Grou Moto, WAA 99, Greobe, 999, KEK Preprt [9] Sgeru Taea et a, eret Grou Moto, KEK,- Oo, Tsuuba-s, barag-e, ,Japa. [0] Proceegs of Te Avace CFA Beam amcs Worsop o Grou Moto Future Acceerators, November 6-9, 000, SAC, Sa Fracsco, USA. [] Fre er, Estmate of Mamum Epecte Rate of Vertca Movemet of te SC Arc Tue Foor, Sge Pass Coer Memo CN-, 98. [] J-P.Quese, Stabté Vertca es Tues u SPS, EP/SU/t, 890s, CERN, 988. [3] Raer Ptta, Re-agmet: t s te Tue Foor wc Moves, s t t?, 4 t teratoa Worsop o Acceerator Agmet. Tsuuba, Japa, 995. [4] Horst Fresam, M. Peca, a J. Error. Status Report o te og-term Stabt of te Avace Poto Source, 5t teratoa Worsop o Acceerator Agmet, Argoe, USA, 997. [5] S. Taea, A. Aama, K. Kuo, H. Naas a N. Yamamoto, Sow rft a Frequec Spectra o Grou Moto, 3 teratoa Worsop o Acceerator Agmet, Aec, Frace, 993. [6] V.V. Paromcu, V.. Stsev, a G.V. Stupaov, Sow Grou Moto a Operato of arge Coers, Part, Acce.46, pp 4-58, 994. [7] Fegag JN, eformato a Movemet Aass of EP, Post-octora Tess, SUST&SU/CERN. Oct [8] Fegag JN, Mce MAYOU a Jea-Perre QUESNE, Stuato Aass a Stabt Evauato of arge Eectro Postro Coer CERN, AVN, No., 00. [9] Fegag JN, Mce MAYOU a Jea-Perre QUESNE, Vertca eformato Aass of EP CERN, AVN, No.4, 00. [0] Fegag JN a Mce MAYOU etc., eformato Aass of EP s Tue, 6t WAA teratoa Worsop of Acceerator Agmet), 8 Oct 999, Greobe, Frace. [] Fegag JN, Mce MAYOU a Jea-Perre QUESNE, Te Statstc Features of A ear Moe a Ter Appcato o ata Processg. Surveg Revew, No., 00. [] Fegag JN a Mce MAYOU, ata Perturbato Aass of A ear Moe, Te Cese Joura of Noferrous Metas Egs Verso), No., 000. [3] Fegag JN, Patter Recogto o Surveg formato of Surveg ata, Cese Joura of Noferrous Metas, No., 999. [4] Fegag JN, Patter Recogto Probem eformato Motorg a Aass, Cese Joura of Noferrous Metas, No.3, 997. [5] Fegag JN a B XU, Geometrca Features a Statstca Tests of GM Moe, Cese Joura of Noferrous Metas, No., 996.

11 [6] Mce MAYOU, Métoes 'évauato statstque e a quaté es résutats topométrques, XYZ, No [7] Amaa MASON, Vertca Cotro of EP Quarupoes Semp [8] Bruo ESPARON, Nveemet et "ssage" es Gras Acceerateurs-Aass es Movemets, Memore Ju 997. [9] Fegag JN, Statstca agostcs a eformato Motorg Teor, Agrcutura Scetfc a Tecca Press of Ca. Sept.995.

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