MATHEMATICAL MODEL OF A TRANSFORMER LINEAR DISPLACEMENT SENSOR

Abstract

Background. At present, the efficiency of development and operation of modern automated systems of control and management of various technological processes is largely determined by the technical and economic characteristics of the primary transducers of information (sensors) among which the important place belongs to displacement sensors. The mathematical model of mutual inductive linear displacement sensors underlying the calculation algorithm developed on the basis of the solution of the boundary electrodynamic problem of interaction of a homogeneous alternating field with an electromagnetic rod is considered. Materials and methods. The systems of Poisson's and Laplace's equations with respect to the vector potential were used in this work. Results. As a result of this research, a mathematical model was proposed, which was used in the development of the TDS designed to measure the movements of the solar panels of a satellite vehicle in open space conditions.

Keywords

• sensor
• mathematical model
• displacement
• electromagnetic field
• sensing element