Transfigurace Y - D, Transformace souřadnic - © Ing. René Vápeník 2009

Transfigurace Y - D, Transformace souřadnic

POZOR - místo desetinné čárky je třeba použít desetinou TEČKU !

**Vztahy**
Y -> Δ	Δ -> Y	abc -> 012	012 -> abc
$Z_{12} = \frac{Z_{01} Z_{02} + Z_{01} Z_{03} + Z_{02} Z_{03}}{Z_{03}}$	$Z_{01} = \frac{Z_{12} \cdot Z_{31}}{Z_{12}+Z_{23}+Z_{31}}$	$\begin{bmatrix} N_{0}\\ N_{1}\\ N_{2} \end{bmatrix}=\frac{1}{3}\begin{bmatrix} 1 & 1 & 1\\ 1 & \alpha & \alpha ^{2} \\ 1 & \alpha ^{2} & \alpha \end{bmatrix}\begin{bmatrix} N_{a}\\ N_{b}\\ N_{c} \end{bmatrix}$	$\begin{bmatrix} N_{a}\\ N_{b}\\ N_{c} \end{bmatrix}=\begin{bmatrix} 1 & 1 & 1\\ 1 & \alpha ^{2}& \alpha \\ 1 & \alpha & \alpha^{2} \end{bmatrix}\begin{bmatrix} N_{0}\\ N_{1}\\ N_{2} \end{bmatrix}$
$Z_{23} = \frac{Z_{01} Z_{02} + Z_{01} Z_{03} + Z_{02} Z_{03}}{Z_{01}}$	$Z_{02} = \frac{Z_{12} \cdot Z_{23}}{Z_{12}+Z_{23}+Z_{31}}$
$Z_{31} = \frac{Z_{01} Z_{02} + Z_{01} Z_{03} + Z_{02} Z_{03}}{Z_{02}}$	$Z_{03} = \frac{Z_{23} \cdot Z_{31}}{Z_{12}+Z_{23}+Z_{31}}$	$\alpha =e^{j\frac{2}{3}\pi }$ $\alpha^{2} =e^{j\frac{4}{3}\pi }$

Tvar komplexních čísel