What is the minimum power supply requirement

The YD8044 has very modest requirements on it’s power supply.
Due to it’s built-in CDU, the power supply never has to supply the switching coil-current. (which may be as high as 10 Amps)
The CDU charge current tops at a maximum of 350 mA at 19 V input voltage. So a 15 V / 0.5 Amp wall-wart adapter is fully sufficient to supply the YD8044.