Calculation of the electrostatic field of a capacitive sensor by the combined mesh-free method

The problem of modeling the distribution of the electrostatic field of a capacitive sensor is considered. The design fea-tures and operating principle of sensors widely used in production process control systems are described. A numerical procedure for calculating the field using a combined mesh-free method based on the combined application of the fundamental solutions method and the Monte Carlo method is described. Numerical experiments have been per-formed to determine the dependence of the sensor capacitance on the ratio of the dielectric tape thickness to the gap. As part of the validation, calculations were performed using the ELCUT engineering modeling software package, which implements the finite element method. By comparing the results obtained by the combined mesh-free method and the finite element method, it is shown that the proposed approach ensures the achievement of the necessary accuracy and can be used in solving field calculation problems at the design stage of electrical devices.