Experimental Validation of HomHBFEM Simulations of Fast Corrector Magnets for PETRA IV

Abstract

This paper presents experimental validation of the homogenized harmonic balance finite element method (HomHBFEM), which we have developed as a dedicated simulation technique for magnets with fast excitation cycles, in particular the fast corrector (FC) magnets for PETRA IV at DESY. The HomHBFEM allows efficient three-dimensional nonlinear eddy-current simulations of laminated magnets at elevated frequencies with a relatively coarse finite element (FE) mesh and without computationally expensive time-stepping. This is achieved by combining a frequency-domain-based homogenization technique with the harmonic balance FE method. The simulation results for the magnetic flux density along the axis of the FC magnets as a function of frequency and the resulting integrated transfer function (ITF) are compared to Hall probe and search coil measurements of the first prototype FC magnet for PETRA IV. A good agreement between simulated and measured ITFs is achieved for excitation frequencies from 10 Hz to 10 kHz.

Figures (23)

• Figure 1: Schematic control loop of the FOFB system.
• Figure 2: Left: Prototype FC magnet. Right: Simulation model.
• Figure 3: Left: Coil of prototype FC magnet. Right: Simulation model.
• Figure 4: Left: $B$--$H$ curve powercore$^{\text{\textregistered}}$ 1400-100AP. Right: Relative permeability of powercore$^{\text{\textregistered}}$ 1400-100AP.
• Figure 5: First measurement setup with a Hall probe on a movable stage for position-dependent measurement of the magnetic flux density.