Many studies have analysed the steady-state of the isolated self-excited induction generator (SEIG) under balanced/unbalanced conditions. The parallel operation of SEIGs has also been widely studied. However, these analyses have the hidden assumption of an equal number of poles in all the parallel-connected machines. The necessity for expanding the already established power system in addition to integrate different renewable energy sources requires the parallel operation of SEIGs with different numbers of poles. This paper presents a steady-state analysis of parallel-operated SEIGs with different numbers of poles. A mathematical derivation is performed to obtain an equivalent circuit model considering different numbers of poles for each machine. The model is also valid for the case of an equal number of poles. The feasibility of the operation is proven, and the steady-state performance under different conditions are outlined. The analysis is experimentally verified. The computed values are in good agreement with the measured ones. This study is expected to contribute to the expanded application of the SEIG and its integration with renewable energy sources.

许多研究分析了平衡/不平衡条件下隔离自励感应发电机（SEIG）的稳态。SEIG的并行操作也得到了广泛的研究。然而，这些分析有一个隐藏的假设，即所有并联机器的极数相等。除了整合不同的可再生能源外，扩大已建立的电力系统的必要性要求具有不同极数的 SEIG 并联运行。本文介绍了具有不同极数的并联运行 SEIG 的稳态分析。执行数学推导以获得考虑每台机器的不同极数的等效电路模型。该模型也适用于极数相等的情况。验证了操作的可行性，并概述了不同条件下的稳态性能。分析得到了实验验证。计算值与实测值吻合良好。预计这项研究将有助于 SEIG 的扩展应用及其与可再生能源的整合。