The battery is connected to the solar controller via the battery connection. The solar panels through the controller is doing a DC to DC charge of the battery.
The other connections to the battery remain as if the controller was not there. Thus your PD is still connected to the battery as before. (in the diagram below, the inverter is the PD# )
When the solar panels are generating a charge, the power is going to either the battery and/or the TD load.
If there is no other load, the battery is the only thing receiving the charge. Hopefully, the controller is producing a regulated charge so the battery is not overcharged.
