This article indicates this is possible to add a second PSU while the device is turned on.
Scope
FortiSwitch-5xxD
Solution
FortiSwitch-5xxD series PSUs are hot-swappable. they can be retrieved or installed while the device is on.
Check the status of the PSU with the command ‘diagnose sys psu status’.
Example with 2 PSUs connected:
Core1 # diagnose sys psu status Module Status ___________________________________ PSU1 OK PSU2 OK
Example with 1 PSU connected and:
Core1 # diagnose sys psu status
Module Status ___________________________________ PSU1 OK PSU2 Not OK