The invention relates to a multi-speed transmission (10, 110), comprising a power split device (11; 111), an input shaft (12, 112) of the transmission (10, 110) being connected or connectable to prime mover (18, 118), an output shaft (13; 113), two shiftable sub-transmissions (14, 114; 15, 115), each providing a plurality of different gear ratios, and at least one rotating electric machine (16; 116, 116a), connected to said power split device (11; 111), wherein the two sub-transmissions (14, 114; 15, 115) can be connected alternatively to the output shaft (13, 113), and a control system (26; 126, 126a), connecting said electric machine (16; 116, 116a) with an electric battery (27; 127) and auxiliary electrical consumers (31, 131). The electric machine (16; 116, 116a) is connected to the power split device (11; 111) in a way that it allows to reduce torque value down to zero on either an input shaft (20; 120) of the first sub-transmission (14; 114) or on an input shaft (22; 122) of the second sub-transmission (15; 115) by applying different shaft torque levels, and the internal heat generation capacity of the electric machine (16; 116, 116a) exceeds the power capacity of the power line in said control system (26; 126, 126a).