Broadcast is probably not the proper term
Seems like the PLC wasn't telling the switch its MAC-address. The switch did not see any MAC-address on the device (PLC) that was connected.
It wasn't until I changed to DHCP (and set DNS) that the switch saw the MAC-address.
So I guess there is nothing wrong with the setup, I just want to better understand the setup and if it is neccessary to run DHCP (and/or DNS) when we are in an environment where IP-addresses are reserved and allocated to specific MAC-addresses.
PS. Of course there are all kinds of rules and policies in place on the network. I am by no means a networking expert, I choose to leave it to the people that network for a living.