Impedance mismatching between different phases of a multiphase transformer is generally observed e.g., in a three-phase to seven-phase transformer, due to an unequal number of turns in different coils. This mismatching introduces error in the study of per phase equivalent circuit diagrams as well as induces an imbalance in output voltages and currents. Therefore, it is a challenging task to develop a per-phase equivalent circuit for the secondary and primary sides (In some cases) too. This paper proposes an artificial intelligence optimization technique like PSO based modeling of the per-phase equivalent circuit of the secondary side. This paper deals with the modeling and simulation of a three-phase to seven-phase power transformer using Artificial Intelligence technique like particle swarm optimization (PSO) and Genetic Algorithm (GA). The proposed model is optimized through PSO and GA algorithms and tested for minimum voltage error in each phase. The proposed model is designed and the objective function is optimized by PSO & GA in MATLAB environment. It is found that the optimized model can be effectively implemented as a per-phase equivalent circuit for the secondary side.

中文翻译：

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使用PSO和GA的三相至七相变压器的等效电路建模

由于例如不同线圈中匝数的不相等，通常在例如三相至七相变压器中观察到多相变压器的不同相之间的阻抗失配。这种失配会导致每相等效电路图的研究出现误差，并导致输出电压和电流不平衡。因此，为次级侧和初级侧（在某些情况下）开发每相等效电路也是一项艰巨的任务。本文提出了一种人工智能优化技术，例如基于PSO的次级侧每相等效电路建模。本文利用人工智能技术（例如粒子群优化（PSO）和遗传算法（GA））对三相至七相电力变压器进行建模和仿真。提出的模型通过PSO和GA算法进行了优化，并测试了每相的最小电压误差。设计了所提出的模型，并在MATLAB环境下通过PSO和GA优化了目标函数。发现优化模型可以有效地实现为次级侧的每相等效电路。