A fast tracking power supply device, comprising: a basic voltage output unit, comprising a level providing unit, configured to provide one or more output levels; and a level switching unit, configured to switch and select an output level from the one or more output levels provided in the level providing unit according to a received first control signal, so as to output a basic voltage; and a compensation voltage output unit, comprising a basic current output unit and a linear amplifier; wherein the basic current output unit is connected in parallel with the linear amplifier at a parallel connection node of the compensation voltage output unit and then is connected in series with the basic voltage output unit and a load; the basic current output unit comprises a current source providing unit, configured to provide one or more constant current sources; and a current switching unit, configured to switch and select a constant current source from the one or more constant current sources provided in the current source providing unit according to a received second control signal, so as to output a basic current; and the linear amplifier is configured to output a compensation current to compensate the basic current according to a difference between the basic current and a load current that requires outputting finally, and output a compensation voltage according to a third control signal to compensate and correct the basic voltage, wherein the basic voltage and basic current refer to main parts of finally output voltage and current, so that a finally output signal is as consistent as possible with an ideal signal to be output; a control unit which is either configured to output, according to a reference signal, the first control signal, the second control signal and the third control signal, or which is being configured to output, according to the reference signal, only the first control signal and the second control signal, the third control signal being the reference signal. a basic voltage output unit, comprising a level providing unit, configured to provide one or more output levels; and a level switching unit, configured to switch and select an output level from the one or more output levels provided in the level providing unit according to a received first control signal, so as to output a basic voltage; and a compensation voltage output unit, comprising a basic current output unit and a linear amplifier; wherein the basic current output unit is connected in parallel with the linear amplifier at a parallel connection node of the compensation voltage output unit and then is connected in series with the basic voltage output unit and a load; the basic current output unit comprises a current source providing unit, configured to provide one or more constant current sources; and a current switching unit, configured to switch and select a constant current source from the one or more constant current sources provided in the current source providing unit according to a received second control signal, so as to output a basic current; and the linear amplifier is configured to output a compensation current to compensate the basic current according to a difference between the basic current and a load current that requires outputting finally, and output a compensation voltage according to a third control signal to compensate and correct the basic voltage, wherein the basic voltage and basic current refer to main parts of finally output voltage and current, so that a finally output signal is as consistent as possible with an ideal signal to be output; a control unit which is either configured to output, according to a reference signal, the first control signal, the second control signal and the third control signal, or which is being configured to output, according to the reference signal, only the first control signal and the second control signal, the third control signal being the reference signal.