Abstract
We present here analytical formulas derived for sector coils with 2N poles, an iron screen and optional iron poles. These formulas can be used to produce optimized conceptual electromagnetic designs of superconducting cosine-theta corrector magnets with 2N poles. The main guidelines of the corresponding algorithm, i.e., design algorithm for sextupoles and higher, which has been used to produce valid conceptual electromagnetic designs of the Future Circular Collider sextupole and octupole magnets, are also presented. Generic conceptual design studies performed with DASH and DASH2in1 (for nested corrector magnets configurations) are also shown and their outcome is discussed.
Highlights
During the design phase of particle accelerators, such as the High-Energy Large Hadron Collider (HE-LHC) or the hadron-hadron Future Circular Collider (FCC-hh) [1], the functional specifications of lattice or spool piece corrector magnets are evolving alongside the accelerator design. The parameters of these corrector magnets are driven mainly by the requirements of linear and nonlinear [2] beam dynamics to allow for correction of multipole errors and effects from the insertion regions
In order to explore quickly the possible parameter space we developed the design algorithm for sextupoles and higher (DASH)
As the achievable magnetic field in multipole magnets decreases with increasing pole number, the field contributed by the iron is important and cannot be neglected as often done as a first approximation for high-field dipoles and quadrupoles [3]
Summary
During the design phase of particle accelerators, such as the High-Energy Large Hadron Collider (HE-LHC) or the hadron-hadron Future Circular Collider (FCC-hh) [1], the functional specifications of lattice or spool piece corrector magnets (sextupoles, octupoles, decapoles, and dodecapoles) are evolving alongside the accelerator design The parameters of these corrector magnets are driven mainly by the requirements of linear and nonlinear [2] beam dynamics to allow for correction of multipole errors and effects from the insertion regions. In this paper comprehensive analytical formulas of the magnet strength and peak field on conductor in sector coils with 2N poles and with an iron screen and optional iron poles are derived These analytical expressions are complemented with equations allowing setting a specific margin along the magnet load line and taking into account magnet protection in a heuristic way, so that protection of the magnets without active individual extraction resistors remains possible. (iii) Third, they are able to take into account the magnetic effect of saturated iron poles in an accurate way
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