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When to start and when to close Charge Pump, how to measure on the chip?

Charge Pump enable or disable is controlled by CPRENB, CPON, CPAUTO buffers, take SN8P1919 for example.                   

CPRENBCPONCPAUTOCharge-Pump StatusRegulator Status
0XXOFFOFF
100OFFON
101Auto ModeON
110Always ONON

Auto-Mode Description:

CPRENBCPONCPAUTOAVDDRENBVDDCharge-Pump StatusRegulator StatusAVDDR OutputPGIA, ADC Function
1011>4.2VOFFON3.8VAvailable
≦ 4.2VONON3.8VAvailable

When CPON = 1, Charge pump is enabled by force, at this time, AVDDCP voltage is about VDD * 2; 
When CPON = 0, Charge pump is forced off, at this time, AVDDCP voltage is approximately VDD; 
When set to Auto mode, (CPON = 0, CPAUTO = 1) 
VDD<4.2V, Charge Pump enabled automatically, AVDDCP voltage is about VDD * 2 
VDD>4.2V, Charge Pump automatically turns off, AVDDCP voltage is approximately VDD
When VDD voltage continue to drop from 4.4V to 3.6V, it can not be set to Auto mode, or it may result in Charge pump damage because of several times instantaneous switch

Reference document: SN8P1900 Series Datasheet