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--- a/ENT4_FS.tex
+++ b/ENT4_FS.tex
@@ -282,6 +282,95 @@ hypertexnames=false                   % Zur korrekten Erstellung der Bookmarks
     \includegraphics[width= 1.75\columnwidth, angle = 90]{SOK_TEG_FS.pdf}
     \subheading{Stationär}
     
+    ESB von magnetisch gekoppelten Stromkreisen einfügen\\
+    Spannungsgleichungen der beiden Stromkreise
+     \begin{equation}
+    	\underline{U_1} = (R_1+jwL_{1\sigma})\cdot\underline{I_1}+jwL_{1h}\cdot\underline{I_\mu}
+    \end{equation}
+    
+    \begin{equation}
+   		 \underline{U_2'} = (R_2'+jwL'_{2\sigma})\cdot\underline{I_2'}+jwL_{2h}\cdot\underline{I_\mu}
+    \end{equation}
+    
+    ESB zweier magnetisch gekoppelter Stromkreise fehlt noch
+    
+    \colorbox{yellow!60}{Streuziffer}
+    \begin{equation}
+    	\sigma_1 = \frac{L_{1\sigma}}{L_{1h}}
+    \end{equation}
+    
+    \colorbox{yellow!60}{Gesamtstreuung}
+    \begin{equation}
+    \sigma = 1-\frac{1}{(1+\sigma_1)\cdot(1+\sigma_2)} = 1 - \frac{M^2}{L_1L_2} = 1-\frac{M^2}{M(1+sigma_1)+M(1+\sigma_2)}
+    \end{equation}
+    
+	Strangströme für Feldmaxima
+	
+	\begin{equation}
+		b_u(t) = B \cdot cos(wt)= Re(b_u(t)\cdot e^{j\epsilon_0})
+	\end{equation}
+	
+	\begin{equation}
+		b_v(t) = B \cdot cos(wt-\frac{2\pi}{3})= Re(b_v(t)\cdot e^{j\epsilon_0}\cdot e^{j\frac{2\pi}{3}})
+	\end{equation}
+	
+	\begin{equation}
+		b_w(t) = B \cdot cos(wt-\frac{4\pi}{3})= Re(b_w(t)\cdot e^{j\epsilon_0}\cdot e^{j\frac{4\pi}{3}})
+	\end{equation}
+    
+    \begin{equation}
+    	b_res(t) = Re(e^{j\epsilon_0}(b_u(t)+b_v(t)\cdot \underbrace{e^{j\frac{2\pi}{3}}}_{a}+b_w(t)\cdot \underbrace{e^{j\frac{4\pi}{3}}}_{a^2})
+    \end{equation}
+    
+    Definition des Raumzeigers
+    \begin{equation}
+    	\vec{B}= \frac{2}{3}(b_u(t)+\underline{a}\cdot b_v(t)+\underline{a^2}\cdot b_w(t))
+    \end{equation}
+    
+    Raumzeiger von Strömen
+    \begin{equation}
+   		\vec{I}= \frac{2}{3}(i_u(t)+\underline{a}\cdot i_v(t)+\underline{a^2}\cdot i_w(t))
+    \end{equation}
+    
+    bei symmetrischen Ströme
+    \begin{equation}
+    	i_u(t) + i_v(t) + i_w(t)  = 0
+    \end{equation}
+    
+    Stromraumzeiger
+    \begin{equation}
+    	\vec{I}_1= \frac{2}{3}(i_u(t)+\underbrace{(-\frac{1}{2}+j\frac{\sqrt{3}}{2})}_{e^{j\frac{2\pi}{3}}}\cdot i_v(t)+\underbrace{(-\frac{1}{2}-j\frac{\sqrt{3}}{2})}_{e^{j\frac{4\pi}{3}}} \cdot i_w(t))
+    \end{equation}
+    
+    Ersatzströme
+     \begin{equation}
+    	I_{1\alpha} = Re(\vec{I}_1) = i_u(t)
+    \end{equation}
+    
+    \begin{equation}
+    	I_{1\beta} = Im(\vec{I}_1) = \frac{i_v(t)-i_w(t)}{\sqrt{3}}
+    \end{equation}
+    
+    Koordinatentransformation\\
+    ständerfeste Koordinaten: Index S
+    \begin{equation}
+    	\vec{I}_1^S = \hat{I}_1\cdot e^{j\beta_S} = \vec{I}_1^L\cdot e^{j\beta_L}
+    \end{equation}
+    
+    \begin{equation}
+    	I_{1\alpha} = \hat{I}_1\cdot cos\beta_S
+    \end{equation}
+    
+    \begin{equation}
+    	I_{1\beta} = \hat{I}_1\cdot sin\beta_S
+    \end{equation}
+    läuferfeste Koordinaten: Index L
+    \begin{equation}
+    	\vec{I}_1^L = \frac{\hat{I}_1 \cdot e^{j(\beta_S-\beta_L)}}{\vec{I}_1^S\cdot e^{-j\beta_L}}
+    \end{equation}
+    
+    Spannungsgleichung in Raumzeigerdarstellung\\
+    .... nachher geht es weiter
     
 \end{multicols*}