考虑频变特性的架空输电线端口分数阶模型

Fractional Order Model of Frequency-dependent Overhead Transmission Line Port

分数阶微积分理论在众多领域得到了广泛应用,基于分数阶微积分理论进行建模能够准确、简洁地描述研究对象。架空线的集肤效应和有损土壤的影响是造成架空线参数频变的主要因素。应用分数阶矢量匹配法对特性阻抗进行拟合,基于递归卷积法建立了考虑频变特性的架空线端口分数阶简洁等效模型。最后通过具体算例,与电磁暂态计算程序EMTP中的J.Marti模型相比较,验证了所提分数阶模型的准确性。

Fractional calculus theory has been widely applied in many areas. Basing on this theory,the modeling can describe the research objects accurately and concisely. Skin effect in overhead transmission line and the loss of soil caused by it are the main factors that lead to the frequency change of parameters of the overhead transmission line. The fractional order vector matching method is applied to fit the characteristic impedance. And basing on recursive convolution,we build a simple equivalent fraction model of frequency-dependent overhead transmission line port. At last,the accuracy of the proposed fractional order model is verified by comparing with J. Marti model of the electromagnetic transient simulation program EMTP.