基于J-A理论为船舶高压变压器建立了一种非线性动态时域模型，并计及涡流损耗，该模型精确地反应了变压器铁芯的磁滞与饱和特性，能更准确地描述变压器的动态过程，可用于船舶变压器的设计及相关继电保护问题的研究，用四阶龙格库塔算法求解非线性微分方程，使模型具有较高计算精度，建立了预充磁模型，并通过变压器空载合闸仿真实验验证了模型的正确性。

A nonlinear time domain dynamic model is established based on the J-A theory for the ship high voltage transformer, the eddy current loss is also taken into account , this model accurately reflects the hysteresis and saturation characteristics of transformer core, and does well in describing the dynamic process of transformer, it can be used to design the ship transformer or the study of relay protection related, using a fourth-order Runge-Kutta algorithm for solving nonlinear differential equations to ensure the model has a high accuracy, established the pre-magnetizing model, the transformer no-load closing simulation results verified the correctness of the transformer model.