20 kW supercritical carbon dioxide turbine power generation test system was built.Numerical simulation study for the critical speed of the turbine generator shaft system was carried out.The first 4 order critical speeds of hollow and solid shafts were compared and analyzed.The first 4 order modal frequencies of the turbine were calculated.Some experiments were carried out to research the influence of the speed and load on vibration characteristics.Spectrum graphs were used to analyze the acceleration response of the shell at a speed of 0-48 000 r/min and a load of 0-20 kW.Calculation and test results showed that,the critical speed of hollow rotor was higher than that of the solid rotor,and critical speed of a rotor with a turbine was lower than that of a rotor without a turbine.As load increased from 0 kW to 15 kW,rotor power frequency vibration gradually decreased,but double frequency vibration with lower amplitude appeared.As the speed ran from 11 000 r/min to 40 000 r/min,vibration response of the drive end under different powers was lower than that of the free end.Vibration response of the drive end under different powers was higher at 48 000 r/min than that of the free end.