Not necessarily: it could just be that the sudden surge in power demand when "power components starts" causes your microntroller's power supply to "droop" out of spec - this is known as a brown-out.
You should also search this forum for "brownout."

Are you using a proper supervisor circuit, with proper reset generation and a Watchdog?
As I've said several times before (do the search), these will not cure an underlying brownout problem, but they will ensure that your whole system does not "go crazy" as a result.
Search keywords: "Watchdog" and "Supervisor."

Of course, it could even be that you're suffering from both EMI/RFI and brownout...!