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Designing Constant Current and Constant Voltage Source for Single Cell Li-ion Battery Charger

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HI, 

I have a 11.1v 4400mah battery in 3s2p configuration .I need to charge a battery with cc and cv mode using LM317 IC with automatically switching from cc to cv mode when it is needed.I have a smps of 12v ,2a. So how can I make circuit after smps?First I need to increase smps voltage from 12v to near around 13 because battery's peak voltage is 12.6 v when it is fully charged. So how can i make 12v to 13v?And secondly CC and CV circuit with LM317 and auto switching from cc to cv with indication?

Please help me on this...

Thanks.

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