My miele dishwasher starts up and runs for a minute and then trips the circuit breaker what could be the problem.

SOURCE: trips the circuit breaker on start up

I would try to find an outlet on another circuit to see if maybe the problem is definately your dehumidifier, if it trips again then you know it is...If not then call an electrician..

SOURCE: My new maytag centennial electric keeps tripping

Hi Matt
I'm not sure that swapping out the breakers to higher rated ones will give you a solution so I'll throw in 2 cents to see if my advice holds true. Let's start by asking this. Is the appliance "rated" at 220 volts at 30 amps per leg. I assume this from your post as to what it has been rated. Next - How long is the "run" of wire from the junction box to the outlet where the appliance plugs in? This usually does not matter in most households but if the run is of significant length it may need a larger gage wire to support the current draw of the appliance. Lastly, and perhaps most importantly, are the lugs and wire connectors tight at the outlet, the plug, and the breaker box. A loose connection will ramp up the current fast. This is assuming the first two items were met. Tell me if any of this helps and we'll work it out from there.
Thanks.
Len

SOURCE: Circuit breaker trips after 10 minutes

could be a weak breaker,or poor high resistance connection from panel to dryer plug, then have someone check the current draw on the dryer while operating and see if it's within specs of the machine tag, if it's higher than that you may have a defective motor or heating element to case causing a higher than normal current draw

SOURCE: Dishwasher tripped our main circuit breaker.

It may be that your water pump is leaking on to the motor...

SOURCE: I HAVE A CRAFTSMAN MODEL # 137.218041,, 10

Sounds like you may have overheated the motor. I'm surprised the overload on the motor didn't trip first. With this overheating, the windings in the motor have basically shorted out to ground. This is why your breaker is tripping. Rewinding the motor is no longer the option these days. You can try going online to www.searspartsdirect.com