I think shutting down the engines is probably the safest option when this sort of thing happens. You could argue they should stay in the present setting, but what would happen if one engine were at 0% and another 100%?
Most aircraft are pretty good at gliding even without power, and I'd assume a deadstick landing is part of the pilots training. In 2001, TS236 flew unpowered for 19 minutes before making an emergency landing (on a runway) with only minor injuries:
Shutting down an engine should always be a decision made by the pilot not a machine IMO. A pilot might prefer to blow out an engine if that gives him enough ( even a couple of seconds matter in this situation ) time to reach a save landing spot or avoid an obstacle.
> what would happen if one engine were at 0% and another 100%?
Pilots are train in this situation all the time and is part of the syllabus for a multi-engine rating. Basically the plane would try to turn to the side that the engine failed. Pilot will use opposite ruder and aileron to compensate while cutting back power in the good engine to just enough you can keep altitude if possible.
> Most aircraft are pretty good at gliding even without power, and I'd assume a deadstick landing is part of the pilots training.
So happen here too. The crew tried tried a dead-stick landing in a field when they realized the could not make the airport. Unfortunately the hit a High Power pole and the plane catch fire.
One of the crew members lost in the accident was a friend of my father. My condolence to the families of those who lost their live that day.
Part of earning your multi-engine cert is memorizing all manner of different airspeed limits for that kind of situation. If you want to maintain yaw control with one engine feathered (er, shutdown) and the other at full throttle you must be going faster than X knots or whatever. Below that indicated airspeed you pull back on the throttle or you're going into a turn at best or more likely a spin.
Planes are designed to fly fine in that situation - it's what you get if one engine breaks down. Now landing the thing with one engine stuck on 100% would be interesting. I guess you could kill the engine somehow - turn off the fuel or pull the fuses.
https://en.wikipedia.org/wiki/Qantas_Flight_32
Mind you, that was the result of an uncontained engine failure.
Two translated quotes: "The investigation yield a clear result: Shortly after the lift-off of the test machine, the computers send conflicting commands to the three engines which then powered off."
"Soon after the crash, experts of the German Air Force suspected a software issue with the fuel supply unit because such a fatal drop of power so soon after the start could hardly be explained differently."
So, not much information why the computers sent conflicting commands and also why the engines power down in such a situation.