杨帆, 张潋镪, 何永胜, 王鹏博, 姜慧. 基于场量梯度的快照分区POD降阶计算方法[J]. 高电压技术, 2025, 51(1): 31-39. DOI: 10.13336/j.1003-6520.hve.20240657
引用本文: 杨帆, 张潋镪, 何永胜, 王鹏博, 姜慧. 基于场量梯度的快照分区POD降阶计算方法[J]. 高电压技术, 2025, 51(1): 31-39. DOI: 10.13336/j.1003-6520.hve.20240657
YANG Fan, ZHANG Lianqiang, HE Yongsheng, WANG Pengbo, JIANG Hui. Snapshot Partition POD Order Reduction Calculation Method Based on Field Gradient[J]. High Voltage Engineering, 2025, 51(1): 31-39. DOI: 10.13336/j.1003-6520.hve.20240657
Citation: YANG Fan, ZHANG Lianqiang, HE Yongsheng, WANG Pengbo, JIANG Hui. Snapshot Partition POD Order Reduction Calculation Method Based on Field Gradient[J]. High Voltage Engineering, 2025, 51(1): 31-39. DOI: 10.13336/j.1003-6520.hve.20240657

基于场量梯度的快照分区POD降阶计算方法

Snapshot Partition POD Order Reduction Calculation Method Based on Field Gradient

  • 摘要: 随着数字化电力系统的不断发展,对高价值电力装备数字孪生模型的研究成为热点。为满足计算的时效性,通常采用模型降阶的方法,其中本征正交分解法(proper orthogonal decomposition,POD)是最为常用的方法之一。传统的POD方法在构造快照时无法高效提取网格节点信息,造成大的计算量、存储资源浪费。为此,该文提出基于场量梯度的快照分区POD降阶计算方法,以快照中各节点场量梯度为依据对计算域进行分区处理,通过对不同分区的节点数量进行不同程度的缩减,实现了高效的POD降阶计算。以换流变阀侧套管极性反转电场作为算例,对该文提出分区降阶方法的可行性及高效性进行了验证。研究结果显示:相较于有限元方法,计算时间缩短97.1%,同时相较于传统的POD方法,其快照中节点数量减少95.2%,节约存储资源91.7%。同时,分区降阶计算的准确率高,平均误差仅为0.80%,实现了对阀侧套管极性反转电场的高效计算。

     

    Abstract: With the continuous development of digital power systems, research on digital twin models of high-value power equipment has become a hot topic. In order to save computing resource, model reduction methods are usually used, among which proper orthogonal decomposition (POD) is one of the most commonly used methods. The traditional POD method cannot efficiently extract grid node information when constructing snapshots, resulting in a large amount of calculation and waste of storage resources. So, this paper proposes a snapshot partition POD method based on field gradient. The calculation domain is partitioned based on the field gradient of each node in the snapshot. By reducing the number of nodes in different partitions to various degrees, efficient POD calculation is achieved. The polarity reversal electric field of the bushing on the converter transformer valve side is used as an example to verify the feasibility and efficiency of the partition reduction method proposed in this paper. The research results show that, compared with the finite element method, the calculation time is shortened by 97.1%. Compared with the traditional POD method, the number of nodes in the snapshot is reduced by 95.2%, saving 91.7% of storage resources. At the same time, the accuracy of the partitioned reduced-order calculation is high, with an average error of only 0.80%, which realizes the efficient calculation of the polarity reversal electric field of the valve-side casing.

     

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