PECULIARITIES OF THE CREATING OF ELECTROMAGNETIC VIBRATION DRIVE SYSTEMS MATHEMATICAL MODELS
Journal Title: Електромеханічні і енергозберігаючі системи - Year 2018, Vol 3, Issue 43
Abstract
Relevance of the work. Electromagnetic vibrating drive systems are used on vibrating conveyors, feeders and other vibro-technological devices that require automatic regulation of vibration parameters during operation. They are also used on vibrating tables for the manufacture of high-quality concrete products by high-frequency vibration seal. When designing such devices, it is necessary to model electromechanical processes in electromagnetic vibration drives for the rational choice of their parameters. Therefore, the development of mathematical models of such drives is an actual scientific problem. Recently, models based on the approximation of the results of numerical calculations of three-dimensional fields in the magnetic system of an actuator have become widely used for modeling of electromechanics. The aim of the work is to analyze methods for approximating the dependence of the flux linkage of an electromagnetic vibrator on the magnetomotive force and the air gap value during the creation of mathematical models of electromagnetic vibration drive systems. Results. Two basic methods are considered: interpolation by cubic splines and approximation method of least squares. For the second method, a special kind of hyperbolic function has been developed that adequately reflects the features of physical processes. It is shown that the spline functions have distortions due to errors in numerical calculations of the magnetic field, and their range of detection is limited by the range of magnetomotive force values for which the field tasks were solved. As a result, the range of the flux linkage values is limited by the value corresponding to the maximum air gap. Approximation by hyperbolic functions involves the use of a more complex algorithm, but it makes it possible to adequately describe the nature of the flux-linkage dependences on the magnetomotive force, even with significant errors in numerical calculations. The range of the approximating functions can go beyond the range of tabular dependencies, it allows us to cover the entire required range of flux-linkage values for the entire range of air gap values.
Authors and Affiliations
Oleksandr Cherno, Anatolii Hurov, Leonid Buhrim
Keywords
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- EP ID EP659989
- DOI 10.30929/2072-2052.2018.3.43.45-51
- Views 162
- Downloads 0
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