Numerical and Experimental Estimation of Measurement Uncertainty in Magnetic Field Mapping

This article proposes a general method to model and simulate the process of magnetic field mapping; aim our work is combination effect bench position uncertainty with measurements’ uncertainty. The based on study positioner kinematics using multi-body system approach. geometrical errors manipulator, including manufacturing tolerances assembling nonidealities are included in homogeneous transformation matrix (HTM), numerically estimate end-effector positioning $U_{p}$ . then combined measurement gradient as sensitivity coefficient; presence strong nonlinearities, can be performed Monte Carlo (MC) simulations order how propagates notation="LaTeX">$U_{f}$ at different positions. has been validated specific case compact mapper (CFM), featuring Cartesian robot triaxial Hall sensor used measure flux density maps accessible region interest magnets Swiss Light Source, an below 0.5 %. allowed us define, during design phase, characteristics (i.e., mechanical ) obtain desired Simulations experiments reference quadrupole presented discussed.