INVESTIGATION OF THE MAGNETIC CIRCUITS OF A NEW TRANSFORMER-BASED RESONANT SENSOR FOR MOTION PARAMETER MEASUREMENT

Abstract

This paper investigates the linear and nonlinear distributed-parameter circuits of a new resonant transformer sensor intended for converting motion parameters (displacement and velocity) into electrical signals. It is shown that in the linear distributed-parameter circuit of the sensor, the magnetic flux and magnetic field intensity vary along the length of the circuit according to a nonlinear law; moreover, the degree of this nonlinearity increases with an increase in the attenuation coefficient of the magnetic field along the magnetic circuit. When the distributed-parameter magnetic circuit of the sensor operates in the nonlinear regime, achieving a linear distribution of the working magnetic flux along the circuit length requires that the working air gap between adjacent long ferromagnetic rods vary along the length of the circuit according to a prescribed law. In this case, the magnitude of the variation of the working magnetic flux along the circuit length does not depend on the value of the approximation coefficient characterizing the nonlinearity of the circuit. The magnetic field intensity between adjacent long ferromagnetic rods of a nonlinear distributed-parameter magnetic circuit decreases according to a nonlinear law from the region where the magnetomotive force source is located toward the end of the circuit, and the rate of this decrease increases with an increase in the value of the approximation coefficient characterizing the circuit nonlinearity.