Features of application of sensitivity theory for analysis of influence of parametric disturbances on dynamic properties electromechanical converters

Abstract

At the design and testing stage of electromechanical converters, the analysis of the influence of parametric perturbations on the dynamic properties of an object using sensitivity theory, which allows to evaluate the quality of operation of electrical machines depending on operating conditions, is relevant. Based on the system of differential equations of a DC motor, the sensitivity equations of the corresponding coordinates were obtained in three parameters. A vector structural scheme of the sensitivity model has been formed, as well as the Simulink-model, with the help of which sensitivity function plots were obtained, which determine the additional motion of the object of study when parameters change within specified limits. It is shown that the largest steady-state values of the sensitivity functions correspond to changes in the moment of inertia. It is revealed that the influence of the moment of inertia on the coordinates of the object of study is the most significant. Where in the coordinate most sensitive to variations in parameters is the rotation speed of the electromechanical converter. The problem of statistical analysis of errors of the output coordinates of a DC motor under the assumption of normal distribution of parametric disturbances was also solved. Simulations were carried out and dispersions and relative estimates of the influence of variable parameters were calculated, and graphs were obtained to estimate the degree of influence of parametric disturbances.

Keywords

• electromechanical converter
• parametric disturbances
• analysis of dynamic properties
• sensitivity model