One power source supplies the power to actually operate the relay and the other is used for turning the relay on and off or triggering the relay. This is useful where the control signal available has low current capability.
Depending on the application, another possible option might be a solid state relay which normally has a very low current requirement for control, often over a pretty wide voltage range such as 3-32 vdc. But be aware that the solid state relays normally have some leakage current when in the off state which can present some problems and some safety considerations at higher voltages. I would suggest reading up on the solid state relays before considering that option.