The invention discloses a fractional calculus-based
PWM rectifier modeling method, and according to the method, a precise mathematic model of a single-phase
PWM rectifier can be established on the basis of a fractional calculus theory and an
instantaneous power theory defined by Caputo. The method comprises the following steps: firstly determining a
voltage equation and a current equation of the single-phase
PWM rectifier in a
rest frame; defining and establishing a fractional order
inductance equation and a fractional order
capacitance equation of the single-phase PWM
rectifier, and giving an input instantaneous power equation and an output instantaneous power equation of the single-phase PWM
rectifier; and finally giving a direct-current component equation and an alternating-current component equation in an input instantaneous power and an output instantaneous power, and verifying the precision of the fractional calculus-based single-phase PWM
rectifier fractional order model established on the basis of numerical
simulation. According to the method, the fact that the
capacitance and
inductance are fractional orders in essence is considered in the modeling process, so that the modeling precision of the single-phase PWM rectifier.