基于本征正交分解的换流变压器极性反转电场降阶模型

发布时间：2018-04-24 04:42

本文选题：换流变压器 + 本征正交分解　；参考：《中国电机工程学报》2016年23期

【摘要】：为了解决在求解换流变压器极性反转瞬态电场过程中计算时间过长,占用存储空间过大的问题,该文基于本征正交分解(proper orthogonal decomposition,POD)方法构建了求解换流变压器极性反转瞬态电场的低阶有限元模型。首先,应用传统伽辽金有限元法计算部分时刻的场域电位组成样本数据,并对样本数据组成的矩阵进行特征值分解得到一组POD正交基,最后通过生成的POD正交基构建准静态电场方程的降阶模型。应用所提出的POD降阶模型,分析了一台?500k V换流变压器在极性反转情况下绕组端部电场随时间的变化情况。计算结果表明:POD降阶模型的计算结果与全阶模型(传统伽辽金有限元模型)的计算结果较吻合,验证了POD降阶模型的准确性。同时,应用降阶模型计算换流变压器瞬态电场的计算时间远小于全阶模型的计算时间,说明了降阶模型的高效性。
[Abstract]:In order to solve the problem that the calculation time is too long and the storage space is too large in the process of solving the transient electric field of polarity reversal of converter transformer, In this paper, a low-order finite element model for the transient electric field of polarity reversal of converter transformers is constructed based on the eigenorthogonal decomposition proper orthogonal decompositionPoD method. Firstly, the traditional Galerkin finite element method is used to calculate the field potential component sample data at some times, and a set of POD orthogonal bases are obtained by eigenvalue decomposition of the matrix composed of the sample data. Finally, the reduced order model of quasi static electric field equation is constructed by generating POD orthogonal basis. Based on the POD reduced order model proposed in this paper, the variation of the electric field at the end of the winding of a 500kV converter transformer with time under the condition of reversal of polarity is analyzed. The results show that the calculation results of the reduced order model of POD are in good agreement with those of the full-order model (the traditional Galerkin finite element model), and the accuracy of the reduced order model of POD is verified. At the same time, the time of calculating the transient electric field of converter transformer by using the reduced order model is much shorter than that of the full-order model, which shows the high efficiency of the reduced order model.
【作者单位】：新能源电力系统国家重点实验室(华北电力大学);
【基金】：国家自然科学基金项目(51277064) 中央高校基本科研业务费专项资金资助(JB2015131)~~
【分类号】：TM41

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