There are two solutions that I can think of
1: Find out which circuit that computer is on (though you should probably know given that you have to reset the breaker every time) then move your computer so it's on a different one.
2: Get an electrician to upgrade the wiring on the circuit that keeps tripping. This is much more complicated than simply upgrading the breaker because the wires in the circuit itself have to be rated for the amperage of the breaker. If they aren't, you will be flirting with a fire hazard.