An electric driven hydraulic fracking system is disclosed. A pump configuration that includes the single VFD, the single shaft electric motor, and the single hydraulic pump that is mounted on the single pump trailer. The single VFD converts the electric power of at least 13.8 kV to a VFD rated voltage level of at least 4160V and drives the single shaft electric motor at the VFD voltage level of up to 4160V to control the operation of the single shaft electric motor and the single hydraulic pump. The single shaft electric motor drives the single hydraulic pump with the rotation at the rated RPM level of at least 750 RPM. The single hydraulic pump continuously pumps the fracking media into the well at the HP level of at least 5000 HP. The single hydraulic pump operates on a continuous duty cycle to continuously pump the fracking media at the HP level of at least 5000 HP.