RE: What effects or controls spool up time?
The engine he is referring to is an evoJet....there is no need for it to be a secret.
Anyway, after watching the video you sent, all ground operations are as they should be. The evoJet software measures airflow through the engine 20 times per second. On a ground run, there is no "ram-air" effect, therefore acceleration is slowed automatically by the ECU. In the air, there will be much more airflow through the turbine, thereby increasing the speed the turbine will accelerate.
There are other turbines that do not measure this airflow and have a set acceleration time. The problem with this approach is, if conditions are not optimal, it could result in a flame-out due to the lack of air-flow through the turbine.
Arno said there are two things you can do to lower the acceleration time, 1 is raise the idle rpm. This will also increase your residual thrust. 55k was the suggested mark. You can also lower the acceleration time time to 3.5 seconds in the ECU. They come set at the factory at 4. This time is measured in the AIR under RAM AIR conditions. If this number is lowered too much, it will result in a less desirable running on the ground, and possibly too fast in the air.
The weather, altitude, humidity, and temperature are also HUGE contributing factors. Ground testing is always worst case scenario for turbine performance.
Fly the engine Mark and enjoy it.