三相两相坐标变换的验证.docx

- -可编辑修改- - -可编辑修改- 三相/两相坐标变换的验证 Xxxx Xxxxx Xxxxxx of coordi nates validati onthree-phase or two-phase tran sformatio n of coordi nates validati on Xxxx Xxxxx xxxxxxxxxx Keywordscircuit equationlineartran sformati on Keywords circuit equation linear tran sformati on Abstract :Linear transformation of the coordinate transformation circuit analysis and analysis of complex winding transformer the transformer transforms are circuit equation.According to the matrix theory, the coordinate transformation and transformer transform, the unified interpretation. Coordinate transformation essence is a square matrix and diagonal matrix of similarity transformation, transformer transformation that is the essence of the new variable to old variable said, when the transformation matrix inverse matrix is equal to its transpose (conjugate transpose) array, coordinate transformation and transformer transform mathematical representation is the same.Through the circuit equation coefficient matrix and the triangle array of similarity transformation, and at the same time, get the three-phase ABC coordinate system and arbitrary speed rotating two phase dqO coordinate system, the instantaneous value complex component 120 coordinate system, forward - back FB0 coordinate system between the transformation matrix. This will help in the more basic theory level reveals and understand the essence of circuit equations linear transformation, but also for the proposed circuit equation linear transformation of new type provides a train of thought. coordinate transformation Transformer transformation 摘要： 电路分析中的坐标变换和复杂绕组变压器分析中 所用的变压器变换都是电路方程的线性变换。 根据矩阵理论 对坐标变换和变压器变换进行了统一阐释。 坐标变换本质是 一个方阵和对角阵的相似变换，变压器变换的本质是新变量 对旧变量的表示，当变换矩阵的逆阵等于它的转置 （共轭转 置）阵时,坐标变换和变压器变换数学表示是相同的。通过对 电路方程系数矩阵和三角阵的相似变换 ，同时得到了三相 PAGE PAGE # PAGE PAGE # 三相/两相变换 abc坐标系和任意速度旋转两相 dqO坐标系、瞬时值复数分 UB量120坐标系、前进-后退FB0坐标系之间的变换矩阵。这 有助于在更加基础的理论层面上揭示和理解电路方程线性 变换的本质，也为提岀电路方程线性变换的新类型提供了思 路。 UB 1/ |U 1/ | Uc上 I 1绪论 1.1引言 现在先考虑在三相静止绕组 A、B、C和两相 静止绕组a之