SNVSB73 September 2018 LM2735-Q1
PRODUCTION DATA.
In a well-designed SEPIC converter, the output voltage, input voltage ripple, and inductor ripple is small in comparison to the DC magnitude. Therefore, it is a safe approximation to assume a DC value for these components. The main objective of the Steady State Analysis is to determine the steady state duty-cycle, voltage and current stresses on all components, and proper values for all components.
In a steady-state converter, the net volt-seconds across an inductor after one cycle equals zero. Also, the charge into a capacitor equals the charge out of a capacitor in one cycle.
Therefore:
Substituting IL1 into IL2
The average inductor current of L2 is the average output load.
Applying charge balance on C1:
Since there are no DC voltages across either inductor, and capacitor C6 is connected to VIN through L1 at one end, or to ground through L2 on the other end, we can say that
Therefore:
This verifies the original conversion ratio equation.
It is important to remember that the internal switch current is equal to IL1 and IL2. During the D interval. Design the converter so that the minimum specified peak switch current limit (2.1 A) is not exceeded.