Mechanical analog of synchronous motor
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- Category: Geotechnical and mining mechanical engineering, machine building
- Last Updated on 19 February 2013
- Published on 16 November 2012
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Authors:
B.V. Vinogradov, Dr. Sci. (Tech.), Professor, State Higher Educational Institution “Ukrainian State University of Chemical Technology”, Head of the Department of Theoretical Mechanics and Resistance of Materials, Dnepropetrovsk, Ukraine
D.A. Fedin, Cand. Sci. (Tech.), State Higher Educational Institution “Ukrainian State University of Chemical Technology”, Senior Lecturer of the Department of Theoretical Mechanics and Resistance of Materials, Dnepropetrovsk, Ukraine
Abstract:
The article is devoted to study of tumbling mill synchronous drive dynamics. The goals of the research are the follows: determination of synchronous drive elastic characteristic, foundation of their mathematical model and making up of dependences for the definition of electromagnetic rigidity. The equivalent scheme of synchronous drive as an oscillator is presented in the article. It is shown, that the electromagnetic rigidity of synchronous drive is the major parameter of the drive mechanical system. It is shown, that the electromagnetic characteristics of synchronous drives are essentially depended on transition processes in the drive electromagnetic system. The calculation technique of synchronous drive electromagnetic rigidity coefficient is presented. The coefficient of rigidity is determined by the investigation of electromagnetic moment oscillations under the action of drag torque which is varied stepwise. It is founded, that the elastic characteristic of synchronous drive can be approximated by linear dependence with constant value of rigidity coefficient. The numerical investigations of the dynamics of several synchronous drives are carried out. The input data for calculations are obtained on the basis of corresponding drive logbooks. The calculations are carried out by integration of Park-Horev equations. The calculation results of characteristic oscillation frequency, electromagnetic rigidity coefficient and energy dissipation coefficient of corresponding drives are presented. The dependences are obtained which allow determining the electromagnetic rigidity of synchronous drive at nominal conditions of work taking into account the drive power and the rotor rotation frequency. It is shown, that to a first approximation the electromagnetic rigidity is in direct proportion to drive power and is inverse proportion to rotation frequency in third order. The calculated dependencies for determination of angle of rotor departure and characteristic oscillation frequency are obtained.
References:
1. Виноградов Б.В. Динаміка барабанних млинів: монографія / Виноградов Б.В. - Дніпропетровськ: УДХТУ, 2004. – 127 с.
Vynogradov, B.V. (2004), Dynamika barabannykh mlyniv [The Dynamics of Tumbling Mills] monograph, USUCT, Dnipropetrovsk, Ukraine, 127 p.
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