Идентификация математической модели электромеханической системы

Abstract

The article considers application of real interpolation method for identifying a linear dynamic system (specifically, an electromechanical system) which allows the system transfer function to be identified from the system unsteady motion transients. In so doing, the test signals presented in the form of readout arrays in the time domain are approximated, and the transfer function coefficients are calculated at real points (interpolation nodes). The identification method mathematical description is presented which consists in calculating the test signals convolution and weight functions and involves solution of a system of linear algebraic equations. The time transformation of test signals is used to bring their duration to the normalized time. By using this approach, the most significant coefficients of the identified transfer function that have a significant effect on the system dynamic behavior are determined, as well as the least significant coefficients which can be excluded from the mathematical model for simplifying it. The requirements for test signals, for the quantization of representing them in the time domain and for the interpolation nodes are specified. A software for implementing the identification method has been developed in the Matlab system environment which can be used in research applications on a personal computer or in microprocessor control systems. The possibility of implementing the real interpolation method by means of microprocessor software and hardware facilities is pointed out. To this end, an experimental electric drive control system has been develope, which involves means for generating reference signals, for measuring test signals and for carrying out computations according to the identification method. The software for performing identification tasks has been developed using model-oriented programming techniques and integrated in the electric drive control system software. The study activities included model and full-scale experiments on identifying the electromechanical system elements.