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TPS2372: PMP21115 reference design

Expert 1065 points
Part Number: TPS2372

Hi

I'd like to do the power-sharing and power limit based on the TI design, and I  watch the Ti training video and this document Designing PoE switching supplies for input
power sharing and with power limiting,

according to this document and video I have some questions:

1.) Based on this figure, I know I need to detect the input power, but I do not understand why need to sum up with input voltage and input current.

2.)  based on figure 5, 6, 7, how to design these capacitor and resistor values, can you offer me a design example file?

3.) How to derive equation 2 and equation 3, I am very confused about how to get this formula.