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TPS63027: Maximum output capacitance

Part Number: TPS63027

Hello,

I am using TPS63027YFFT as a switching buck-boost converter for supplying 3.7V to my system. However there are current peak requirements as large as 5A for 500uS to 1mS, even in buck mode. So, what is the the maximum output capacitance I can put so that it can support these current peaks? I was thinking of putting 1500uF or 2200uF. Will that work? If not, then what is the maximum output capacitance that I can put? Please help.

Thanks.