QXF Field Quality Estimates and Systematic Uncertainty in High-Field Magnets

In a collaboration meeting at CERN, field quality estimates for QXF magnets were discussed, emphasizing the importance of triplet components and random movements. The analysis includes systematic uncertainty, gaussian distribution parameters, and estimation methods for Nb-Ti magnets. A detailed table outlines the field quality parameters for various magnet components. The focus is on understanding and optimizing magnetic field quality for high-energy applications.

• CERN
• Field Quality
• QXF Magnets
• Systematic Uncertainty
• High-Field

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1. BNL, 7th May 2014 LARP Hi-Lumi collaboration meeting QXF FIELD QUALITY ESTIMATES E. Todesco CERN, Geneva Switzerland E. Todesco

2. GENERAL REMARKS For field quality we have target error tables Strictly speaking this is not a specification Triplet is critical at high field So the injection and persistent current has a small relevance very loose targets of 20 units on b6due to persistent The low order random not allowed components are the most critical ones Such as b3, a3, b4, a4 QXF field quality estimates - 2 E. Todesco

3. GENERAL REMARKS Three components: systematic s, uncertainty u, random r Distribution is a gaussian of sigma r (truncated at 3 sigma) with average m Average m is the systematic s plus a random component from a gaussian of sigma u (truncated at one sigma) For a long production with good steering one can have u=0, but here we only have 20 magnets We took u=s Random components Given by random movements of 0.03 mm, and four times larger amplitude for the allowed 10.000 Normal Skew 1.000 s(bn, an) 0.100 0.010 0.001 0 5 10 15 multipole order n Guess on random geometric component [X. Wang] QXF field quality estimates - 3 E. Todesco

4. METHOD 0.03 mm is a rather conservative estimate of what can be reached in Nb-Ti magnets QXF field quality estimates - 4 E. Todesco

5. THE TABLE Triplet field quality version 2 - November 6 2012 - Rref=50 mm Systematic Uncertainty Random Normal Geometric Saturation Persistent Injection High Field Injection High Field Injection High Field 3 0.000 0.000 0.000 0.000 4 0.000 0.000 0.000 0.000 5 0.000 0.000 0.000 0.000 6 4.000 -3.200 -20.000 -16.000 7 0.000 0.000 0.000 0.000 8 0.000 0.000 0.000 0.000 9 0.000 0.000 0.000 0.000 10 0.150 0.000 4.000 4.150 11 0.000 0.000 0.000 0.000 12 0.000 0.000 0.000 0.000 13 0.000 0.000 0.000 0.000 14 -0.040 0.000 0.000 -0.040 Skew 3 0.000 0.000 0.000 0.000 4 0.000 0.000 0.000 0.000 5 0.000 0.000 0.000 0.000 6 0.000 0.000 0.000 0.000 7 0.000 0.000 0.000 0.000 8 0.000 0.000 0.000 0.000 9 0.000 0.000 0.000 0.000 10 0.000 0.000 0.000 0.000 11 0.000 0.000 0.000 0.000 12 0.000 0.000 0.000 0.000 13 0.000 0.000 0.000 0.000 14 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.800 0.000 0.000 0.000 0.150 0.000 0.000 0.000 -0.040 0.820 0.570 0.420 1.100 0.190 0.130 0.070 0.200 0.026 0.018 0.009 0.023 0.820 0.570 0.420 1.100 0.190 0.130 0.070 0.200 0.026 0.018 0.009 0.023 0.820 0.570 0.420 1.100 0.190 0.130 0.070 0.200 0.026 0.018 0.009 0.023 0.820 0.570 0.420 1.100 0.190 0.130 0.070 0.200 0.026 0.018 0.009 0.023 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.800 0.650 0.430 0.310 0.190 0.110 0.080 0.040 0.026 0.014 0.010 0.005 0.800 0.650 0.430 0.310 0.190 0.110 0.080 0.040 0.026 0.014 0.010 0.005 0.800 0.650 0.430 0.310 0.190 0.110 0.080 0.040 0.026 0.014 0.010 0.005 0.800 0.650 0.430 0.310 0.190 0.110 0.080 0.040 0.026 0.014 0.010 0.005 QXF field quality estimates - 5 E. Todesco

6. WHAT WE ARE GETTING Results on HQ02 b3, a4are too large Ok, this is early phase of modeling anyway magnetic shimming sa back up is considered [see work by P. Hagen, next presentation] Comparison target versus measured for HQ02 [X. Wang] QXF field quality estimates - 6 E. Todesco

7. ITERATIONS WP2 askwed for factor two reduction of some high order random components (in red) QXF field quality estimates - 7 E. Todesco