Electric motor model in the theory of gyroscopes
type: Item
instance of: scholarly article
zbMATH Open document ID: 1249.70004
author: B. I. Konosevich
author: Yu. B. Konosevich
publication date: 2012-07-31T00:00:00Z
Mathematics Subject Classification ID: 70E05
zbMATH DE Number: 6062182
zbMATH Keywords: gyroscopic instrument
zbMATH Keywords: synchronous and asynchronous motor
zbMATH Keywords: summary moment
MaRDI profile type: Publication
title: Electric motor model in the theory of gyroscopes
published in: Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki
review text: This paper addresses the issue of modeling the dynamics of an electric motor. A diagram of the driving torque is shown for an asynchronous electric motor. The torque of a synchronous motor is approximated by a linear relation with respect to the power angle and its time-derivative. An expression for the potential energy representing the interaction of magnetic fields is obtained in the paper. In conclusion, the authors discuss the problem of stability of uniform rotations of the rotor for a synchronous motor. To maintain the rotor rotation, electric motors of synchronous or asynchronous type are used in gyroscopic instruments. Forces acting on the rotor from the stator form a summary moment \(L\), which is equal to the algebraic sum of the motor torque and the dissipative torque. This moment formation mechanism is described in the paper for both types of motors, and nonlinear properties of this moment are analyzed.
description: scientific article; zbMATH DE number 6062182