A simple method for computing the minimum value of capacitance, C min. required for initiating voltage build-up in a three-phase self-excited induction generator (SEIG) is presented. Based on the steady-state equivalent circuit model, a consideration of the circuit conductances yields a sixth-degree polynomial in the per-unit frequency. The polynomial can be solved for real roots, which enables the value of C/sub min/ to be calculated. Critical values of load impedance and speed, below which the machine fails to self-excite irrespective of the capacitance used, are found to exist. Closed form solutions for C/sub min/ are derived for no-load and inductive loads. Using the same numerical approach, an interative procedure is developed for predicting the capacitance required for maintaining the terminal voltage at a preset value when the generator is supplying load. Experimental results obtained on a 2 kW induction machine confirm the feasibility and accuracy of the proposed methods.
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机译：一种计算电容最小值C min的简单方法。提出了在三相自励感应发电机（SEIG）中启动电压累积所需的电压。基于稳态等效电路模型，考虑电路电导会得出单位频率的六次多项式。可以针对实根求解多项式，从而可以计算C / sub min /的值。发现存在负载阻抗和速度的临界值，在该临界值下，无论使用何种电容，机器都无法自激。对于空载和感性负载，得出C / sub min /的闭式解。使用相同的数值方法，开发了一种内部程序，用于预测在发电机供电时将端子电压保持在预设值所需的电容。在2 kW感应电机上获得的实验结果证实了所提出方法的可行性和准确性。
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