基于磁路特征的三相三柱式变压器数学模型及等效电路

SUONAN Jiale; XU Liqiang; JIAO Zaibin; DU Bin

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基于磁路特征的三相三柱式变压器数学模型及等效电路

更新时间：2025-08-13

- 基于磁路特征的三相三柱式变压器数学模型及等效电路
- Automation of Electric Power Systems Vol. 35, Issue 15, Pages: 52-57(2011)
- 作者机构：
  
  西安交通大学电气工程学院,陕西省,西安市,710049
- 作者简介：
- 基金信息：
- DOI：
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- Published：2011
- 稿件说明：
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SUONAN Jiale, XU Liqiang, JIAO Zaibin, et al. [J]. Automation of electric power systems, 2011, 35(15): 52-57.
DOI：

SUONAN Jiale, XU Liqiang, JIAO Zaibin, et al. [J]. Automation of electric power systems, 2011, 35(15): 52-57. DOI：

摘要

根据三相三柱式变压器的铁芯结构特征，分析了其各电感参数之间的关系，提出了三相三柱式变压器新的数学模型和对应的等效电路。所建模型能够反映三相三柱式变压器的磁路结构特征，与现有的变压器模型相比，更能明确体现三相三柱式变压器各电流分量在感应绕组端电压中所起的作用。其等效电路模型比现有模型简单直观，易于分析和计算。通过与传统的非线性三相三柱式变压器模型的比较对所建模型进行了验证。作为所建模型的具体应用实例，讨论了变压器区外故障时短路电流计算的简化模型。

Abstract

Based on the characteristics of three-phase three-limb transformer magnetic circuit，the relationship among its inductances is analyzed，and a new mathematical model and an equivalent circuit model are proposed.The proposed model can reflect the structure characteristics of three-phase three-limb transformer magnetic circuit.Compared with existing three-phase three-limb transformer models，the new model can clearly demonstrate the roles of each current component in inducing winding voltage.The equivalent circuit model is more simple and intuitive than existing models and is easy for qualitative analysis and calculations.The proposed model is verified through comparison with the traditional nonlinear three-limb transformer model.As an example for application，the simplified calculation model for three-phase three-limb transformer with external faults is discussed.

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