A power system of a hybrid electric vehicle, comprising: a battery group; a battery heater, connected with the battery group and configured to charge and discharge the battery group to heat the battery group; a battery management device, connected with the battery group and the battery heater respectively, and configured to: if a temperature of the battery group is lower than a first heating threshold and a residual electric quantity of the battery group is larger than a running electric quantity threshold, control the battery heater to heat the battery group with a first power when the hybrid electric vehicle is in an electric vehicle mode, and heat the battery group with a second power when the hybrid electric vehicle is in a hybrid electric vehicle mode, wherein the second power is larger than the first power; an engine configured to charge the battery group; a motor; an electric distribution box, configured to distribute a voltage output by the battery group to a power consumption equipment of the hybrid electric vehicle, said power consumption equipment comprising the motor; a motor controller, connected with the motor and the electric distribution box respectively, comprising a first input terminal, a second input terminal and a pre-charging capacitor connected between the first input terminal and the second input terminal, and configured to supply power to the motor according to a control command and a voltage distributed by the electric distribution box; and an isolation inductor, connected between the battery group and the electric distribution box, wherein an inductance, L, of the isolation inductor is determined in accordance with a capacitance, C, of the pre-charging capacitor according to the formula: T = 2 ⁢ π LC, where T is an equivalent load work cycle of the motor. a battery group; a battery heater, connected with the battery group and configured to charge and discharge the battery group to heat the battery group; a battery management device, connected with the battery group and the battery heater respectively, and configured to: if a temperature of the battery group is lower than a first heating threshold and a residual electric quantity of the battery group is larger than a running electric quantity threshold, control the battery heater to heat the battery group with a first power when the hybrid electric vehicle is in an electric vehicle mode, and heat the battery group with a second power when the hybrid electric vehicle is in a hybrid electric vehicle mode, wherein the second power is larger than the first power; an engine configured to charge the battery group; a motor; an electric distribution box, configured to distribute a voltage output by the battery group to a power consumption equipment of the hybrid electric vehicle, said power consumption equipment comprising the motor; a motor controller, connected with the motor and the electric distribution box respectively, comprising a first input terminal, a second input terminal and a pre-charging capacitor connected between the first input terminal and the second input terminal, and configured to supply power to the motor according to a control command and a voltage distributed by the electric distribution box; and an isolation inductor, connected between the battery group and the electric distribution box, wherein an inductance, L, of the isolation inductor is determined in accordance with a capacitance, C, of the pre-charging capacitor according to the formula: T = 2 ⁢ π LC, where T is an equivalent load work cycle of the motor.