Mode 2,\(\ (1-D)T_{s}\leq t\leq\frac{T_{s}}{2}\): In this mode, the
switches \(G_{2}\) and \(G_{4}\) are on, while \(G_{1}\) and\(\ G_{3}\)are off. The following equations are resulted in this mode.
\(V_{L1}=V_{L2}=V_{\text{in}}-V_{c2}\) (8)
\(V_{L3}=V_{L4}=V_{\text{in}}\) (9)
Therefore inductors \(L_{3}\) and \(L_{4}\) are charged with the rate of\(\frac{V_{\text{in}}}{L_{3}}\)and\(\frac{\text{\ V}_{\text{in}}}{L_{4}}\), respectively. Also the
voltages of inductors \(L_{1}\) and \(L_{2}\) are reduced with the rate
of \(\frac{(V_{\text{in}}-V_{c2})}{L_{1}}\)and\(\ \frac{(V_{\text{in}}-V_{c2})}{L_{2}}\). This mode is shown in
Fig. 4.