“…All saturation and hysteretic terms due to iron remanence are described by <H steel >. In Figures 1 and 2 we show this quantity for the Main Injector dipole [9] and sextupole [10] (11) where the first term takes values of up BL N I and dn BL N I for up ramp and down ramp segments, trans BL N I I rev ; I rev describes the transition between the two hysteretic states, and I rev is the current of the most recent reversal of _ I. To describe the I required to produce a given B requires knowledge of the previous direction of the current ramp and the current level at which the most recent change of ramp direction occurred.…”
Although the dominant fields in accelerator electromagnets are proportional to the excitation current, precise control of accelerator parameters requires a detailed understanding of the fields in Main Injector [1][2] magnets including contribution from eddy currents, magnet saturation, and hysteresis. Operation for decelerating beam makes such considerations particularly significant. Analysis of magnet measurements and design of control system software is presented. Field saturation and its effects on low field hysteresis are accounted for in specifying the field ramps for dipole, quadrupole and sextupole magnets. Some simplifying assumptions are made which are accepted as limitations on the required ramp sequences. Specifications are provided for relating desired field ramps to required current ramps for the momentum, tune, and chromaticity control.
“…All saturation and hysteretic terms due to iron remanence are described by <H steel >. In Figures 1 and 2 we show this quantity for the Main Injector dipole [9] and sextupole [10] (11) where the first term takes values of up BL N I and dn BL N I for up ramp and down ramp segments, trans BL N I I rev ; I rev describes the transition between the two hysteretic states, and I rev is the current of the most recent reversal of _ I. To describe the I required to produce a given B requires knowledge of the previous direction of the current ramp and the current level at which the most recent change of ramp direction occurred.…”
Although the dominant fields in accelerator electromagnets are proportional to the excitation current, precise control of accelerator parameters requires a detailed understanding of the fields in Main Injector [1][2] magnets including contribution from eddy currents, magnet saturation, and hysteresis. Operation for decelerating beam makes such considerations particularly significant. Analysis of magnet measurements and design of control system software is presented. Field saturation and its effects on low field hysteresis are accounted for in specifying the field ramps for dipole, quadrupole and sextupole magnets. Some simplifying assumptions are made which are accepted as limitations on the required ramp sequences. Specifications are provided for relating desired field ramps to required current ramps for the momentum, tune, and chromaticity control.
“…As we see in Equation 1, the strength variation due to geometry is governed by L eff =g. To evaluate this we fit the low field (below 0.8 T) downramp excitation curve [3] to a linear function and multiply the inverse slope by 0 N g to determine g=L eff . The correction for finite dr is expected to be less than 0.5% and nearly independent of the steel sample involved.…”
Section: Magnet Properties Obtainedmentioning
confidence: 99%
“…The bend strength of a dipole may be characterized [3] where I is the current (per turn) in the coil, N g is the number of turns linked by a flux line which crosses the gap in the good field aperture, g is the gap height, L is the length of the flux path in the core, L eff is the effective length of the magnet, and hHi is the average ofH along the flux line in iron. The parameters which can be controlled during manufacture are the (effective) length, the gap, and hHi.…”
The Fermilab Main Injector project is building 344 dipoles using more than 7000 tons of steel. There were significant run-to-run variations in the magnetic properties of the steel. Differences in stress relief in the steel after stamping resulted in variations of gap height. To minimize magnet-tomagnet strength and field shape variations the laminations were shuffled based on the available magnetic and mechanical data and assigned to magnets using a computer program based on the method of simulated annealing. The lamination sets selected by the program have produced magnets which easily satisfy the design requirements. This paper discusses observed gap variations, the program structure and the strength uniformity results for the magnets produced.
MAGNET STRENGTHMeasurements of 230 6-meter and 136 4-meter dipoles constructed for the Fermilab Main Injector were carried out as part of the magnet production effort. An automated measurement system provided data on magnetic field strength and shape using several partially redundant systems. Results of these measurements are available for each individual magnet for use in accelerator modelling. In this report we will summarise the results on all of the magnets to characterise the properties which will govern accelerator operation.Groups 4 and 5 define our nominal magnet strength at each current.The mean strength, including me 4-m magnets weighted at 2/3 of the 6-m magnets, was calculated for each current. Deviations from that strength (for the 6-m magnets) or from 2/3 of that strength (for the 4-m magnets) are normalized to the nominal strength of the 6-m magnets.These deviations are quoted here in "units" of parts in 104.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.