Oil burner rapidly going off and on after power out for about 10 min then seems fine

Just want to make sure everything is OK, I'm pretty handy with mechanical and have, with help , replaced a few parts on this oil burner and have been doing a yearly maintenance myself for the last 12 years, however just had a power outage for about 3-4 hours , Temps are about 25 - 30 F. And once power came back on notice the burner would rapidly cycle of and on for about 30 sec or so then stop for a minute then go again. This continued fir about 8 min or so each time the cycling was short and the Gap in between longer. Now seems to be ok and operating normally, just did not notice this after a power loss.