# Mathematical Model of Determination of Magnetic Conductance of Angle-data Transmitter With Transverse Magnetic System

2019;
: pp. 1 - 9
Authors:
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University, Department of Electromechatronics and Computerized Electromechanical Systems
3
Lviv Polytechnic National University

The mathematical model for defining the magnetic conductivity of inductive transmitters of the limited rotation angle is described; both linear and angular dimensions of magnetic core’s specific construction and technological errors of production and installation which is simulated by the misalignment of the stator and the rotor location was taken into consideration. The model is constructed assuming that there are no scattering streams due to the structural arrangement of the signal and the excitation windings. However, the main magnetic flow is divided into two parts: a part that is dependent on the rotor’s angular position and an independent one, meaning a useful flow that determines the information component of the signal and the background. The useful flow is determined by the magnitude of the useful conductivity taking into account the emission of the magnetic flow. Useful conductivity is presented in the form of a table of analytical expressions defined uniformly as the conductivity between two flat surfaces at an angle; the integration bounds are provided separately.

The model allows breaking the range of the angle of the angle-data transmitter into subranges, which number depend on the number of teeth in the stator core.

The mathematical model is built for a linear transmitter and the results are summarized for transmitters of the limited rotation angle. The model allows to explain the nature of the systematic error of the original transmitters’ characteristics and take measures to prevent them.

By integrating the principles of constructing the mathematical model, the practical determination of magnetic conductivity for the angle-data transmitter with four teeth (of type ДУ60) has been conducted; the artificially introduced error of the stator and rotor mismatch has been taken into account. The results are presented in the form of dependency graphs of the useful conductivity of the teeth on the rotation angle.

The conclusion has been drawn about the possibility of further use of the proposed mathematical model based on the method of probable flow paths for defining the nature of the systematic error of the original transmitters’ characteristics and taking measures to prevent them.

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