Quantitative Analysis Method of Error Sources in Magnetohydrodynamic Angular Rate Sensor for Structure Optimization


A comprehensive study on the error analysis of magnetohydrodynamic (MHD) angular rate sensor (ARS) is essential for structure optimization to reduce its tracking error and expand the bandwidth at low frequency. Against the error sources within the MHD ARS, secondary flow, and induced magnetic field, this paper presents a quantitative analysis method to check the optimization of structural parameters. Stream function is introduced to help giving analysis of secondary flow. Two models with and without induced magnetic field are utilized for comparison to illustrate its influence. Error sources varying with time and frequency are simulated. Experiments of MHD ARS on frequency response functions and linearity are made to verify the effectiveness of the error analysis methodology. Furthermore, the optimization style of MHD ARS structural parameters is mentioned. Per the simulation and experiment results, the impact of unsteady secondary flow is relatively sturdy in low-frequency band but not vital higher than a pair of Hz and tends to be weakened by the imposed magnetic field. The deviation caused by the induced magnetic field is less than 0.1% when the rotation is but 100 rad/s. Among the parameters for structural optimization, the aspect ratio ought to be designed as large as possible within the premise of small magnetic Reynolds range.

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