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In order to improve the dynamic measurement capability of magnetohydrodynamics (MHD) angular rate sensor (ARS) furtherly, this paper gives the error analysis of MHD ARS under the influence of a non-uniform magnetic field. In this work, the numerical simulation using 3D-Magnetostatic and FLUNET coupled with User Defied Function (UDF) is made. It is found that the inhomogeneity effect on the velocity fluctuations is not outstanding, whereas the effect on the electric potential is considerable. Sinusoidal curve fitting method is introduced to characterize the sensor output errors. The results indicate that the random error of the sensor output may be generated by the magnetic field inhomogeneity especially at the peak and valley of angular vibration. This finding can provide a reference for the optimization of the sensor design.

Error Analysis of Magnetohydrodynamics Angular Rate Sensor under the Influence of a Non-uniform Magnetic Field