Study of dynamic properties of measuring equipment at the design stage

Abstract

The modeling of measuring tools was carried out based on modern computer technologies in VisSim and Mathcad software. The transfer function of a measuring instrument in a closed state with negative feedback is determined. The range of changes in the feedback coefficient at which the dynamic system is stable is determined. The optimal feedback coefficient is determined by the criterion of the transition process minimum duration. The quality indicators of the measuring instrument are determined by the transition function: the time of setting (regulation), over-regulation, the number of fluctuations and the degree of attenuation. The transfer function of the measuring instrument is determined by error. The error rates for steady state position, speed and acceleration are obtained by decomposing the Taylor series of the transfer function by mistake in the Mathcad environment, using the series function. The stability reserves in amplitude and phase are determined before and after introduction of corrective links to the structure of the measuring instrument. The sequential regulator corrective link was synthesized according to the criterion – minimization of stabilization time. The serial controller parameters were calculated in Mathcad by gain coefficient interactive selection and time constant, with the ability to control its parameters by logarithmic frequency characteristics, as well as by static and dynamic properties in transient and steady-state modes. The dynamic safety is determined when one of the measuring tool parameters deviates from the nominal value.