Study of the dynamics of the working parts of a controllable electrical complex for production of chemical fibres and nonwovens

Abstract

A nonlinear system of algebraic and differential equations was obtained that can be used to study a complex electromechanical system with consideration of the statistical characteristics of the working parts, the electromagnetic processes in the electric drive, and the effect of fl exible couplings in kinematic transmission. Calculation of the system of equations obtained showed that in transition regimes, important errors in the linear velocities of the working parts appear due to electromagnetic processes and the existence of fl exible deformable units which disturb the manufacturing process. A method of limiting the increase in the voltage feeding the asynchronous electric drive with a multifunctional microprocessor regulator is proposed for correcting the speed regimes.We analyzed the dynamics of simultaneous rotation of working parts in which one motor is asynchronous (AM, M 1 ) with a squirrel-cage motor controlled by a multifunctional microprocessor voltage regulator (MVR000), and the other is direct current (DCM, M 2 ) with thyristor control from a unit power amplifi er (PA). The domestically manufactured directcurrent unit thyristor electric drives have highly stable rotational speeds, good dynamic properties, and broad possibilities for satisfying the highest manufacturing requirements.Rotational speed sensors (SS 1 , SS 2 ) and a cloth tension sensor (TS) in the free zone synchronize the rotational speed of the working parts.In the mathematical description of the dynamic properties of the units in an electromechanical system, assumptions are made concerning the presence of rigid connections between the calender and the main shaft (MS); the direct-current motor (M 2 ) and reducing gear (R 2 ) and the shaft of the winding device (WD); the asynchronous motor (M 1 ) and the lower fl exible coupling (FC) block; the upper FC block and the calender drive shaft.We obtain the equation of motion for electric drives mechanically coupled with fl exible coupling and a reducing gear from Lagrange equations of the second kind:(1)where T is the kinetic energy of the moving masses; Q j are generalized forces; q j are generalized coordinates; q j are the time derivatives of the generalized coordinates; j is the number of degrees of freedom (1, 2, ..., S). ____________ MSTU: 119071, Moscow, ul. Malaya Kaluzhskaya, d. 1. Moscow State Textile University.