Mathematical modelling of commutator DC motor in failure conditions

Z. Głowacz, A. Zdrojewski
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引用次数: 12

Abstract

The commutator of dc motor is approximated by equivalent resistance circuit. Extremely different values are assigned to circuit parameters depending on the angular position of the rotor. Created for diagnostics purposes mathematical model of commutator dc motor with loop rotor winding is a set of stiff nonlinear differential equations. The characteristics of dc motor were investigated in failure conditions. The shorting of rotor coils causes the considerable deformations of currents, voltages, electromagnetic torque and velocity in motor. From the calculations it can be seen that this mathematical model is particularly advantageous for diagnostics of dc motor. Measurement investigations have been carried out for commutator dc motor with loop rotor winding specially designed for diagnostic aims. Construction of this motor enables to realize the breaking of one rotor coil and shorting of two groups of rotor coils. Each group contains three rotor coils. In investigations these defects have been realized separately and simultaneously. In paper are presented simulation and measurement results. The results have been compared. The basis of this comparisons were transients: current and voltage of excitation circuit, current and voltage of armature circuit, shorted coil currents and velocity of rotor.
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换向器直流电机故障状态下的数学建模
直流电机的换向器用等效电阻电路近似表示。根据转子的角度位置,分配给电路参数的值是非常不同的。为诊断目的而建立的带环形转子绕组换向器直流电机的数学模型是一组刚性非线性微分方程。研究了直流电机在故障条件下的特性。转子线圈的短路会引起电机电流、电压、电磁转矩和速度的显著变形。计算结果表明,该数学模型对直流电动机的诊断特别有利。对专门为诊断目的而设计的环形转子绕组换向器直流电机进行了测量研究。该电机的结构可以实现一个转子线圈的断断和两组转子线圈的短路。每组包含三个转子线圈。在研究中,这些缺陷被分别或同时认识到。文中给出了仿真和测试结果。对结果进行了比较。这种比较的基础是瞬态:励磁电路的电流和电压,电枢电路的电流和电压,短路线圈电流和转子的速度。
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