鼠笼式转子异步电动机起动方式的数学建模

V. Malyar, O. Hamola, V. Maday, I. Vasylchyshyn
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引用次数: 6

摘要

目的。鼠笼式转子异步电动机起动方式计算方法与算法的发展。方法。用数值方法求解微分方程组和非线性终方程系统的边界问题,并利用其静态特性进行计算,建立各种坐标系下异步电传动起动方式的数学模型。结果。本文提出了异步电传动起动方式的数值分析方法和算法,使其在固定三相坐标系和正交两相坐标系下的静态特性和瞬态特性的计算成为可能。学术新颖性。文献中已知的起动模式的计算方法都以经典等效电路为基础,采用不同的近似方法计算参数,同时考虑磁芯的饱和和转子绕组中的电流位移。这种方法需要对每个问题的充分性问题有一个特殊的解。本文描述的饱和计算方法分别使用主磁通和漏磁通的真实磁化特性,并将鼠笼式转子绕组表示为多层,考虑了趋肤效应现象。这种电机的数学模型是通用的,可以考虑任何动态模式下的饱和和电流位移,包括启动过程。根据所提出的方法建立的数学模型以最少的计算量提供了结果的充分性,并使进行优化计算成为可能。实用价值。在开发算法的基础上创建的计算程序允许在三相和两相坐标轴上进行高可靠性的启动模式计算,从而有机会分析不仅对称,同时,对非对称模式和在规定的运行技术条件下电驱动系统的功能特点进行预测,并对启动系统的开发和调整提出要求,以维护电力异步电驱动系统的有效、可靠运行。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical Modelling of Starting Modes of Induction Motors with Squirrel-Cage Rotor
Purpose. Development of methods and algorithms for calculation of starting modes of the induction motors with the squirrel-cage rotor. Methodology. Mathematical modelling of starting modes of asynchronous electric drives in various coordinate systems with the use of numerical methods for solving boundary problems for systems of differential equations and nonlinear systems of final equations and calculation with their use of static characteristics. Results. Methods and algorithms for numerical analysis of the starting modes of asynchronous electric drive have been developed, which make it possible to calculate the static characteristics and transients in fixed three-phase and orthogonal two-phase coordinate systems. Academic novelty. Known in the literature methods of calculation of starting modes have in their basis classical equivalent circuits with different approximate methods of calculating the parameters taking into account the saturation of a magnetic core and current displacement in a rotor winding. This approach requires a special solution of the adequacy problem for each problem. The methods described in the article for the saturation accounting use real magnetization characteristics of the main magnetic flux and leakage fluxes separately, and the skin effect phenomenon is taken into account by representing the squirrel-cage rotor winding as multilayer. Such mathematical model of the motor is universal and makes it possible to take into account the saturation and current displacement in any dynamic mode, including the start-up process. Mathematical models developed on the basis of the proposed methods provide the adequacy of results with a minimum amount of calculations and make it possible to perform optimization calculations. Practical value. Created on the basis of developed algorithms calculation programs allow to carry out with high reliability calculation of starting modes both in three-phase and two-phase axes of coordinates that gives the chance to analyze not only symmetric, but also asymmetric modes and to predict special features of functioning of system of the electric drive in the set technological conditions of operation and to form requirements to development and adjustment of starting systems with the purpose of maintenance of power effective and reliable operation of system of asynchronous electric drives.
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