Analysis of the Dynamic Characteristics of an Asynchronous Motor under Parametric Disturbances Using Sensitivity Equations

The parameters of the elements of electrotechnical sets during operation can change as a result of the influence of various destabilizing factors. At the same time, the dynamic characteristics and related indicators of the performance quality of the electrotechnical sets functioning will also change depending on the parameters. This work is devoted to the analysis of changes in the output coordinates of an asynchronous motor under parametric disturbances with obtaining quantitative estimates of the influence of unstable parameters on dynamic characteristics. The problem is solved based on sensitivity theory methods by obtaining the corresponding systems of equations, vector-matrix block diagrams, and Simulink models. Dependences of the additional movement of the output coordinate of the asynchronous motor, as well as graphs of dispersions and relative estimates are obtained when the hypothesis of the normal distribution of parameter deviations is fulfilled. Based on the results of the analysis, the parameters that have the greatest influence on the dynamic characteristics are defined and the coordinates most sensitive to parametric disturbances are determined. Recommendations are formulated for the application of the results obtained in the construction of systems for the identification and adaptive control of electrotechnical sets with asynchronous motors.