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REVIEW OF ESTIMATES OF RANDOM COMPONENTS IN THE INNER TRIPLET

HI LUMI and LARP collaboration meeting CERN, 7 th June 2012. REVIEW OF ESTIMATES OF RANDOM COMPONENTS IN THE INNER TRIPLET. E. Todesco CERN, Geneva Switzerland Based on the Phase-I work by F. Borgnolutti , P. Fessia , on HQ estimates by X. Wang,

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REVIEW OF ESTIMATES OF RANDOM COMPONENTS IN THE INNER TRIPLET

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  1. HI LUMI and LARP collaboration meeting CERN, 7th June 2012 REVIEW OF ESTIMATES OF RANDOM COMPONENTS IN THE INNER TRIPLET E. Todesco CERN, Geneva Switzerland Based on the Phase-I work by F. Borgnolutti, P. Fessia, on HQ estimates by X. Wang, and tracking presented by Y. Cai in LARP CM May 2012

  2. METHODS • Randommovements of coil blocks due to tolerances • Amplitudes of the order of 0.025 to 0.1 mm - Rref=40 mm • Estimategiven for the Phase I [P. Fessia, et al., SLHC PR 45 (2010) IEEE Trans. Appl. Supercond. 20 (2010) 140 ] • Note: • Random b6 estimatedwith 4 times largermovements, based on experience • Uncertainty=randomwith exception of a6 and b6 • This is the best estimatewe have today

  3. METHODS • Extrapolation to higherorders • ScalingwithBiot Savart

  4. METHODS • Comaprisonwith HQ estimates • Calculation by X. Wang on HQ cross-section, 0.025 mm standard deviation of movements • Verysimilarresults • Also in this case wetake 4 times largermovement for b6 • Measurements are not so far fromthisestimate Comparisonbetweenestimateswiths=25 mm movement (solid line) and HQ measurements (spreadalong the axis)

  5. DEPENDENCE ON AMPLITUDE • For a fixed aperture radius and Rref= 2/3 of the aperture, random components scalewith inverse of aperture • This is due to the hypothesisthattolerances do not increasewithlarger aperture – i.e., they are absolute and not relative • Hypothesissuggested by analysis of builtmagnets[B. Bellesia et al, Phys. Rev. STAB 10 (2007) 062401] • Therefore for the 150 mm we assume a reduction of 20%

  6. COMPARISON WITH WHAT PRESENTED IN LAST LARP CM • Random components of a6 and a10 look prettypessimist • Other components (b4, b6) veryoptimist

  7. COMPARISON WITH WHAT PRESENTED IN LAST LARP CM • Random components of a6 and a10 look prettypessimist • Theylookedcriticalin Cai presentation • Wesuggest to have a second runwiththese new tables • Somedependence of random on the specific cross-section (up to 50%) – I would assume the same as MQXC for the moment

  8. CONCLUSION • First version of error tables • Wealwaysgiveerrorsat 2/3 of reference radius • I propose to justtake phase I estimates and scalewith inverse of the aperture

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