Method for controlling a gearbox of a vehicle, related computer system and vehicle

A method for controlling a gearbox of a vehicle, the vehicle comprising a motor connected to the gearbox, the gearbox having primary gears comprising a high primary gear and a low primary gear, wherein the method comprises applying a high primary gear shifting strategy when a current primary gear of the gearbox is the high primary gear and the motor powers the vehicle via the gearbox so that a speed of the vehicle is non-zero, the high primary gear shifting strategy comprising:

• calculating an achievable acceleration that would be achieved if using the motor at full capability;
• setting an acceleration limit, representing a lower threshold for shifting from the high primary gear to the low primary gear;
• calculating a factored acceleration limit by multiplying the acceleration limit by a factor depending on a current acceleration command;
• and
• applying a primary gear selection, where the high primary gear is kept if the achievable acceleration is greater than the factored acceleration limit and where the gearbox is shifted down to the low primary gear if the achievable acceleration is equal to or smaller than the factored acceleration limit.