Yes, you ned a better supply line ...20 AMPs
You won't find many planers that run on 15 AMPs, and if you do they will be underpowered. You may save money in the sort term, but if you burn out the motor you are now further behind. It's just a fact of woodworking, the minimum breaker needs to be 20 AMPs.
A handpowered planer will be fine on a 15 AMP circuit, but they are difficult to master, AND will not make the wood a uniform thickness.
For very occasional times in your case, find a source to get the wood thickness planed like a school shop, a cabinet maker shop, a friend who does woodworking, try Craig's List or Facebook Market place to find a source.
The answer to your question will only be as detailed and specific as the question is detailed and specific. Good questions also include a sketch or a photo that illustrates your issue. (:< D)