dv6700 consumes more current than stock power supply can provide

The notebook hp pavilion dv6700 p/n FF761EA#ACB doesn't start when its stock power supply is used. When another power supply (in fact powerbank) with larger maximum current and the same voltage is used, it starts and works (no longer than powerbank battery can provide, about 30 minutes). It doesn't work with another new power supply equivalent to stock. It is possible to use it with more powerful power supply, but it seems to be dangerous because more current means more power and more power means more heat, so the problem should be found and fixed.