General update

dcdcconv.mdown

@@ -1450,7 +1450,7 @@ $$v_2 = \frac{N_1}{N_3}v_3$$
 
 $$v_3 = -v_1$$
 
-$$v_{LM} = \frac{N_1}{N_3}V_i$$
+$$v_{LM} = -\frac{N_1}{N_3}V_i$$
 
 
 
@@ -1472,47 +1472,49 @@ $$
  (0,0) to[battery1, v^>=$V_i$, i^>=$i_i$](0,4) %battery
  (0,0) node[ground](){}
  (0,4) to[short](4,4) %left side upper node
- (4,4) to[L, v_<=$v_1$](4,2) %First transformer winding
- (4,2) to[opening switch](4,0)
+ (4,4) to[L, v_<=$v_1$, i>^=$~$](4,2) %First transformer winding
+ (4,2) to[opening switch, v_<=$v_S$, i^>=$i_S$](4,0)
  (0,0) to[short](4,0) %lower node, ground
  (2,4) to[L, v_<=$v_L$, i^>=$i_L$](2,2) %transformer magnetizing inductance
  (2,2) to[short](4,2)
  % --- right side of the transformer ---
- (5,2) to[L](5,4)
- (5,4) to[diode](7,4)
+ (5,2) to[L, v^<=$v_2$, i>^=$~$](5,4) %Second transformer winding
+ (5,4) to[diode, i>^=$i_D$, v_<=$v_D$](7,4)
  (5,2) to[short](7,2)
- (7,4) to[C](7,2)
+ (7,4) to[C, i^>=$i_C$](7,2)
  (7,2) to[short](9,2)
- (7,4) to[short](9,4)
- (9,4) to[R](9,2)
+ (7,4) to[short, i^>=$i_o$](9,4)
+ (9,4) to[R, v^<=$v_o$](9,2)
  ;
 \end{circuitikz}
 $$
 
 **ON circuit**
 
-$$ %Flyback shorted circuit (to complete by hand)
+$$ %Flyback Converter ON
 \begin{circuitikz}
  \draw
  % --- left side of the transformer ---
  (0,0) to[battery1, v^>=$V_i$, i^>=$i_i$](0,4) %battery
  (0,0) node[ground](){}
  (0,4) to[short](4,4) %left side upper node
- (4,4) to[L, v_<=$v_1$](4,2) %First transformer winding
+ (4,4) to[L, v_<=$v_1$, i>^=$~$](4,2) %First transformer winding
  (4,2) to[short, -*](4,1.33)
  (4,0) to[short, -*](4,0.66)
  (4,1.33) to[short](4,0.66)
  (0,0) to[short](4,0) %lower node, ground
  (2,4) to[L, v_<=$v_L$, i^>=$i_L$](2,2) %transformer magnetizing inductance
  (2,2) to[short](4,2)
  % --- right side of the transformer ---
- (5,2) to[L](5,4)
- (5,4) to[short](7,4)
+ (5,2) to[L, v^<=$v_2$, i>^=$~$](5,4) %Second transformer winding
+ (5,4) to[short, -*](5.66,4)
+ (6.33,4) to[short, *-](7,4)
+ (5.66,4) to[open](6.33,4)
  (5,2) to[short](7,2)
- (7,4) to[C](7,2)
+ (7,4) to[C, i^>=$i_C$](7,2)
  (7,2) to[short](9,2)
- (7,4) to[short](9,4)
- (9,4) to[R](9,2)
+ (7,4) to[short, i^>=$i_o$](9,4)
+ (9,4) to[R, v^<=$v_o$](9,2)
  ;
 \end{circuitikz}
 $$
@@ -1526,25 +1528,38 @@ $$ %Flyback shorted circuit (to complete by hand)
  (0,0) to[battery1, v^>=$V_i$, i^>=$i_i$](0,4) %battery
  (0,0) node[ground](){}
  (0,4) to[short](4,4) %left side upper node
- (4,4) to[L, v_<=$v_1$](4,2) %First transformer winding
+ (4,4) to[L, v_<=$v_1$, i>^=$~$](4,2) %First transformer winding
  (4,2) to[short, -*](4,1.33)
  (4,0) to[short, -*](4,0.66)
  (4,1.33) to[open](4,0.66)
  (0,0) to[short](4,0) %lower node, ground
  (2,4) to[L, v_<=$v_L$, i^>=$i_L$](2,2) %transformer magnetizing inductance
  (2,2) to[short](4,2)
  % --- right side of the transformer ---
- (5,2) to[L](5,4)
- (5,4) to[short](7,4)
+ (5,2) to[L, v^<=$v_2$, i>^=$~$](5,4) %Second transformer winding
+ (5,4) to[short, -*](5.66,4)
+ (6.33,4) to[short, *-](7,4)
+ (5.66,4) to[short](6.33,4)
  (5,2) to[short](7,2)
- (7,4) to[C](7,2)
+ (5,2) to[short](7,2)
+ (7,4) to[C, i^>=$i_C$](7,2)
  (7,2) to[short](9,2)
- (7,4) to[short](9,4)
- (9,4) to[R](9,2)
+ (7,4) to[short, i^>=$i_o$](9,4)
+ (9,4) to[R, v^<=$v_o$](9,2)
  ;
 \end{circuitikz}
 $$
 
+
+**Output voltage**
+
+$$ V_o = \frac{N_2}{N_1} \frac{D}{1-D} V_i $$
+
+
+
+
+\newpage
+
 # Reference
 
 * Electrónica de Potencia, Hart