This paper proposes a matrix operation method for modeling the three-phase transformer by phase-coordinates. Based on decoupling theory, the 12 × 12 dimension primitive admittance matrix is obtained at first employing the coupling configuration of the windings. Under the condition of asymmetric magnetic circuits, according to the boundary conditions for transformer connections, the transformers in different connections enable to be modeling by the matrix operation method from the primitive admittance matrix. Another purpose of this paper is to explain the differences of the phase-coordinates and the positive sequence parameters in the impedances of the transformers. The numerical testing results in IEEE-4 system show that the proposed method is valid and efficient.

提出了一种通过相坐标对三相变压器建模的矩阵运算方法。基于解耦理论，首先采用绕组的耦合配置获得12×12维原始导纳矩阵。在非对称磁路的情况下，根据变压器连接的边界条件，可以使用矩阵运算方法从原始导纳矩阵对不同连接中的变压器进行建模。本文的另一个目的是解释变压器阻抗中相位坐标和正序参数的差异。在IEEE-4系统中的数值测试结果表明，该方法是有效和有效的。