中文摘要：

从基本方程组出发，分析了星形曲折延边三角形接线平衡变压器的运行特性。根据理想平衡变压器的技术条件给出了星形曲折延边三角形接线平衡变压器的通用阻抗匹配关系，扩展了阻抗匹配空间，证明以前得到的结果只是阻抗匹配空间的子集，增大了产品设计自由度。给出了变压器一次侧与二次侧间电气量变换关系和相坐标下的节点导纳矩阵，为进行牵引供电系统有关问题的分析计算奠定了基础。同时，从电气特性表达式上揭示了星形曲折延边三角形接线、星形延边三角形接线、星形三角形接线变压器之间的演化关系。

英文摘要：

On the basis of elementary equations, the operational characteristics of the wye-zigzag delta connected balance transformer have been analyzed. According to the technique requirements of ideal balance transformers, the general impedance matching conditions of wye-zigzag delta connected balance transformers are put forward. It has been verified that the existent result is only a subset of the impedance matching space and this will enlarge the design freeness of the transformer. The transformation relations of the electrical values between the primary side and the secondary side and the nodal admittance matrix in phase coordinates are presented, which can be used to analyze the related problems of traction power supply systems of electric railways. Meanwhile, the evolvement relations between the wye-zigzag delta, wye-prolonged delta and wye-delta connected transformers have been shown by virtue of relevant mathematical expressions.