2. Steady state analysis
2.1. Continuous Mode
Modes 2, 4 and 5 together from CCM are selected for steady state analysis to simplify the process. Modes 1 and 3 are neglected due to their short happening time interval. Secondary side voltage of the inductor during modes 4 and 5 is as follows:
\(V_L2=V_C1+V_C3-V_Co\) (6)
Therefore primary side voltage of the inductor in two mentioned modes is similar and can be written as:
\(V_L1=-V_C2\)
\(V_Co=V_Load=V_O\)
\(V_L2=nV_L1\)
\(V_L1=-V_C2-V_Lk\) (7)
From mode 2, following equations can be written:
\(V_Lin=V_i\)
\(V_L2=V_C3-V_C2\)
\(V_L2=nV_L1\)
\(V_L1=V_C1-V_Lk\) (8)
And from modes 4 and 5, following are derived:
\(V_Lin=V_i-V_C1\)
\(V_L2=V_C1+V_C3-V_Co\)
\(V_L2=nV_L1\)
\(V_L1=-V_C2-V_Lk\) (9)
By applying Volt-Seconds balance principle to the inductors Lin, L1 and L2: