A simplified technique has been developed for accurately evaluating the steady-state performance of self-excited induction generator (SEIG). This proposed technique employs nodal analysis of the equivalent circuit of SEIG, taking the core loss resistance (R_m) also into consideration. This circuit has no voltage or current source and hence the net value of its complex nodal admittance becomes zero. The real and imaginary parts of this admittance, are then individually equated to zero and a closed-form expression for per unit (pu) speed (b), without involving the magnetizing reactance (X_m), is easily obtained in a few steps, for the specified pu frequency (a). Then, the expressions for X_m and R_m are also obtained. Subsequently, the complete performance of the SEIG is evaluated using the equivalent circuit. It is also shown that the proposed technique does not require lengthy complex derivations and it takes much less computational time, compared to the other commonly used methods for the analysis of SEIG. Test results, obtained on a three-phase, 4-pole, 3.7 kW, 230 V SEIG very closely agree with the computed values. The formulated technique is also slightly modified to make it applicable, if the performance evaluation is needed for a given pu speed.

我们开发了一种简化的技术来准确评估自激感应发电机 (SEIG) 的稳态性能。该技术采用 SEIG 等效电路的节点分析，同时还考虑了磁芯损耗电阻 ( R _m )。该电路没有电压或电流源，因此其复数节点导纳的净值变为零。然后，该导纳的实部和虚部分别等于零，并且可以通过几个步骤轻松获得每单位 ( pu ) 速度 ( b ) 的封闭式表达式，而不涉及磁化电抗 ( X _m )，对于指定的pu频率 ( a )。然后，还获得X _m和R _m的表达式。随后，使用等效电路评估 SEIG 的整体性能。它还表明，与其他常用的 SEIG 分析方法相比，所提出的技术不需要冗长的复杂推导，并且所需的计算时间要少得多。在三相、4 极、3.7 kW、230 V SEIG 上获得的测试结果与计算值非常一致。如果需要对给定的pu速度进行性能评估，则对公式化的技术也稍加修改以使其适用。