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Application of Floquet's theory to the analysis of series-connected wound-rotor self-excited synchronous generator

机译:Floquet理论在串联绕线转子自励同步发电机分析中的应用

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In this paper, Floquet's theory for solving differential equations with periodically varying coefficients has been utilized in evaluating the steady state performance of a three phase wound rotor series-connected self-excited synchronous generator SCSESG. This type of generator is practically realized by the series connection of stator and rotor windings of a conventional wound-rotor induction machine. Self excitation may occur when a suitable capacitor bank is connected across the machine terminals. The analysis gives the same results that are obtained when the d-q transformation model is utilized. Application of Floquet's theory has the advantage of reducing the mathematical manipulation needed. The results are checked experimentally. Saturation effects on each axis inductance as well as iron losses show satisfactory agreement. The generator acts as a hypothetical salient pole machine operating at half the rotor electrical angular frequency and is independent of load conditions provided that the prime mover speed is kept constant.
机译:在本文中,Floquet的求解具有周期性变化系数的微分方程的理论已用于评估三相绕线转子串联自励同步发电机SCSESG的稳态性能。这种类型的发电机实际上是通过常规绕线转子感应电机的定子和转子绕组的串联连接来实现的。当在机器端子之间连接合适的电容器组时,可能会发生自激。分析得出的结果与使用d-q转换模型时获得的结果相同。 Floquet理论的应用具有减少所需数学运算的优势。通过实验检查结果。各轴电感的饱和效应以及铁损显示出令人满意的一致性。发电机用作假设的凸极电机,工作在转子电角频率的一半,并且只要原动机速度保持恒定,则与负载条件无关。

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