Computer program for modeling of technical state indicators of electromechanical systems

IF 0.4 Q4 MATHEMATICS, APPLIED Journal of Applied Mathematics & Informatics Pub Date : 2022-03-31 DOI:10.37791/2687-0649-2022-17-2-105-119
S. Kurilin, A. M. Sokolov, Nikolai N. Prokimnov
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Abstract

The article is aimed at solving the problem of scientific justification of criteria and methods for assessing the technical state of electromechanical systems based on the topological diagnostic method. Mathematical model and computer program for simulation of technical state indices of asynchronous electric motors (AEM) are presented. Functions and Green matrices, as well as deviation matrices, are considered as such indicators. The basis of the program is the mathematical model of the AEM with a non-accelerated rotor and non-homogeneous windings. AEM is supplied from pulse voltage source. The action is carried out in different directions of the vector space of the motor in order to determine its characteristics and degree of homogeneity. Based on the reactions of the object, the program calculates and analyzes technical indicators for intact and damaged states of the AEM. A computer program for mathematical modeling of the technical state indicators of the AEM was carried out using the Maple package of symbolic and numerical calculations, which provides extensive opportunities for mathematical studies of various levels. A description of a software implementation of the proposed mathematical model is given. An example of using a program to model the performance of a serial motor with specified technical characteristics is given. The article presents the results of modeling the object indicators corresponding to the object different operational states. A reference state, a damaged state characterized by a change in the properties of the vector space during long-term operation, as well as a limit state, which corresponds to a break in one of the phases of the rotor winding, were defined as these states. Conclusions on each of the given electric motor states are given.
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机电系统技术状态指示器建模的计算机程序
本文旨在解决基于拓扑诊断方法的机电系统技术状态评估标准和方法的科学论证问题。提出了异步电动机技术状态指标仿真的数学模型和计算机程序。函数和格林矩阵,以及偏差矩阵,被认为是这样的指标。该程序的基础是具有非加速转子和非均匀绕组的AEM的数学模型。AEM由脉冲电压源供电。在电机矢量空间的不同方向上进行动作,以确定其特性和均匀度。该程序根据物体的反应,计算并分析了AEM完好状态和损坏状态的技术指标。利用Maple软件包进行了AEM技术状态指标的数学建模,为不同层次的数学研究提供了广泛的机会。给出了该数学模型的软件实现描述。给出了用程序对具有特定技术特性的串联电机进行性能建模的实例。本文给出了对象不同运行状态对应的对象指标的建模结果。参考状态,即在长期运行过程中以矢量空间性质变化为特征的损坏状态,以及极限状态,即对应于转子绕组某一相的断开,被定义为这些状态。给出了给定电动机各状态的结论。
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