Power transformers are generally designed to be used in conditions where voltage and current are sinusoidal. However, nonlinear loads are increasing in modern power systems with the developing technology. Therefore, line voltages and currents often have harmonically distorted or non-sinusoidal waveforms. In this article, a model has been developed. The mathematically developed model has been proven experimentally and numerically. In this paper, different sub-harmonic content parametric analysis of the loss of transformer under no-load conditions with voltage excitation was performed. For this purpose, the Finite Element Method (FEM) based modeling of the core and windings of the transformer has been developed. An efficient method based on harmonic field model of transformer windings and FEM based modeling of transformer core is used. ANSYS@MAXWELL program, which realizes a solution based on FEM, is used for this. From the results of the analysis, it was seen that the effect of harmonic voltages on the loss of the transformer core is negligible. However, these tensions have been shown to increase winding losses in the unloaded state. This case reveals the importance of harmonics to be taken into account in calculating the losses of power transformers.

电力变压器通常设计为在电压和电流为正弦波的条件下使用。然而，随着技术的发展，现代电力系统中的非线性负载正在增加。因此，线路电压和电流通常具有谐波失真或非正弦波形。在本文中，开发了一个模型。数学开发的模型已通过实验和数值验证。本文对带电压激励的空载条件下的变压器损耗进行了不同次谐波含量参数分析。为此，已经开发了基于有限元方法（FEM）的变压器铁心和绕组建模。使用了基于变压器绕组谐波场模型和基于FEM的变压器铁心建模的有效方法。为此，使用了ANSYS @ MAXWELL程序，该程序实现了基于FEM的解决方案。从分析结果可以看出，谐波电压对变压器铁芯损耗的影响可以忽略不计。但是，这些张力已显示出在空载状态下会增加绕组损耗。这种情况表明，在计算电力变压器的损耗时要考虑谐波的重要性。