Paper |
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TUPP105 |
Theoretical Field Analysis for Superferric Accelerator Magnets Using Elliptic Multipoles and its Advantages
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1773 |
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- P. Schnizer, E. S. Fischer
GSI, Darmstadt
- P. G. Akishin
JINR, Dubna, Moscow Region
- B. Schnizer
TUG/ITP, Graz
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FAIR will build a set of accelerators and storage rings at GSI Darmstadt. Nearly all of them transport beams of elliptical shape (SIS 100, CR, NESR, RESR, SuperFRS). Magnetic field calculations as well as magnetic measurements provide precise field information, which is used to improve the properties of machine using numerical simulations. We had developed elliptical multipoles fulfilling the Laplace equation which enable us to describe the field within the whole aperture consistently. Now the representation of these has been simplified considerably as compared to earlier ones. Meanwhile we found analytical expressions to derive circular multipoles directly from the elliptic multipoles. We illustrate the advantage of this data representation on SIS 100 magnet data and show how a concise set of harmonics can be derived from rotating coil measurements.
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WEPD021 |
Magnetic Field Characteristics of a SIS 100 Full Size Dipole
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2452 |
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- P. Schnizer, E. S. Fischer
GSI, Darmstadt
- P. G. Akishin
JINR, Dubna, Moscow Region
- R. V. Kurnyshov
Electroplant, Moscow
- B. Schnizer
TUG/ITP, Graz
- P. A. Shcherbakov
IHEP Protvino, Protvino, Moscow Region
- G. Sikler, W. Walter
BNG, Würzburg
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FAIR will feature two superconducting fast ramped synchrotrons. The dipole magnets for one of them, SIS 100, have been designed and prototypes were built. The properties of the magnetic field were analysed using OPERA (for DC operation) and ANSYS for dynamic calculations. Elliptic multipoles fulfilling the Laplace Equation in plane elliptic coordinates describe the field within the whole aperture consistently within a single expansion. Further circular multipoles, valid within the ellipse, can be calculated analytically from the elliptic multipoles. The advantage of this data representation is illustrated on the FEM calculation performed for SIS 100 dipoles and quadrupoles currently foreseen for the machine. The magnetic field of one of these prototypes was measured using a mole. We compare the results of the calculation to the measurement for the static as well as the dynamic mode.
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