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Avtometriya

2022 year, number 1

MATHEMATICAL MODELING AND ERROR ANALYSIS OF GRADIENTOMETRIC SYSTEMS BASED ON THREE-COMPONENT FLUXGATE SENSORS

D. G. Milovzorov, V. Kh. Yasoveyev
Ufa State Aviation Technical University (USATU), Ufa, Russia
Keywords: magnetometric gradiometric system, three-component fluxgate converter, three-component accelerometric converter, mathematical models, three-component magnetometer

Abstract

The article deals with the layout of magnetometric gradiometric systems using three-component fluxgates and three-component accelerometric converters. These transducers are also widely used in attitude measurement systems. Basic mathematical models of three-component magnetometers included in the gradiometer structure are proposed, which are suitable for the ideal location of the three-component transducer in the device case. A diagram of the actual arrangement of fluxgates in the gradiometer bogy is shown, and the deviation angles of their sensitivity axes from the basis axes of the device are presented. Refined mathematical models of three-component fluxgate transducers are presented taking into account the angles of deviation of the their sensitivity axes. A technique for calibrating a three-component magnetometer with mechanical turns of the fluxgates on verification devices, installations (rotary tables) is proposed, which makes it possible to set and accurately monitor the required angles of spatial orientation of the device body. The errors of a three-component fluxgate converter are estimated by the method of computational experiment - computer simulation.