自激异步发电机空载建立恒压时电容与转速的关系

异步发电机空载建立恒定端电压时,转子转速和机端电容间存在对应关系.以异步发电机空载稳态运行时基值频率下的一相等值电路为基础,推导了节点导纳方程,依据异步发电机稳态运行时节点导纳为零的必要条件,选择节点导纳绝对值为目标函数,把端电压作为优化约束条件,利用坐标轮换法计算空载下不同恒定机端电压值对应的电容和转速,并且给出了关系曲线,说明了异步发电机存在临界建压转速和临界建压机端电容.本文采用的优化算法,克服了传统方法难以解决有约束问题的缺点,计算值和试验值的一致性说明了方法的正确性.

Relationship Between Capacitance and Speed of Self-Excitation Induction Generator Under Constant Voltage at No-Load Operation

When the self-excited induction generator operates at constant voltage, there must be some restrictions between the rotor speed and terminal capacitance. Based on the equivalent circuit of one phase at basic frequency of the induction machine steadily operating at no load, the admittance equation of node. According to the essential condition that the admittance equation of node is zero when the generator operates at steady state, the order of magnitude of node is taken as the objective function, taking the terminal voltage as the optimal restrained condition, the capacitance and speed corresponding to the different constant terminal voltage at no load are calculated and the relatonship curves are given by the co-ordinate conversion method. These indicate that there is critical speed and terminal capacitance in the induction generator. The optimized method used in this paper overcomes the defaults of the constraining problems difficult to be resolved by traditional method. Because the calculated values are consistent with the test values, the method is correct.