中文摘要：

对Y接三相自激异步发电机单相空载稳态运行性能进行分析，通过计算来着重说明平衡电容值和自激建压电容值之间的不同组合对所建端电压的影响。分析过程中用对称分量法推导发电机单相空载稳态运行时的回路阻抗，令回路阻抗的实部与虚部分别为零，作为异步发电机稳态运行的条件和性能计算的基础。采用直接搜索优化方法求解二维方程并计算出单相空载电压值，针对单变量函数用数值法确定给定端电压下的电容组合和最小建压电容值。单相空载电压计算值与实测值相互吻合，验证了该分析方法的有效性和准确性。

英文摘要：

The no-load steady-state performance of a Y-connected three-phase induction generator under single-phase operation is analyzed. The analysis focuses on the influence of different kinds of combinations of balance capacitances and excitation capacitances on terminal voltages. The symmetrical component method was applied to derive the loop impedance when only one phase of the generator operates at no-load steady state. Suppose the real and imaginary parts of loop impedance were zero, the steady-state equations were established to predict the performance. The direct search method, as an optimization method, was used to solve two-dimensional equations for calculating the single-phase no-load voltages, For the single-variable function, a numerical approach was employed to determine the capacitance combinations at a desired terminal voltage, and the minimum voltage build-up capacitance was obtained. The calculated single-phase no-load voltages are in agreement with the experimental values, and the validity and accuracy of the presented method are verified.