Two Predictive Current Controls for Fractional Boost Converters

Abstract:

Based on the theory of fractional calculus and the fact that actual capacitance and actual inductance are fractional in nature. Firstly，based on the establishment of a fractionalorder mathematical model of the Boost converter, a fractionalorder predictive current control is proposed, and a predictive controller is designed. Secondly, based on the investigation of the inductor current waveform of the fractional boost circuit, an integerorder predictive current control of the fractional boost circuit is proposed. Finally, a fractionalorder inductance approximation circuit was obtained based on the fractional reactance chain and the Oustaloup fractionalorder approximation algorithm. The designed controller was simulated and verified using Matlab software. The results show that the fractionalorder prediction current control has the smallest overshoot and the shortest transition time, especially the performance on antiload disturbance is better. Although the performance of integerorder predictive current control is lower than that of fractionalorder predictive control, it also has better control performance，the simulation results verify the feasibility and effectiveness of the proposed control method as well.