Modeling and Characteristics Analysis for a Buck-Boost Converter in Pseudo-Continuous Conduction Mode Based on Fractional Calculus

Abstract

In recent days, fractional calculus (FC) has been accepted as a novel modeling tool that can extend the descriptive power of the traditional calculus. Fractional-order descriptiveness can increase the flexibility and degrees of freedom of the model by means of fractional parameters. Based on the fact that real capacitors and inductors are “intrinsic” fractional order, fractional calculus is introduced into the modeling process to establish a fractional-order state-space averaging model of the Buck-Boost converter in pseudo-continuous conduction mode (PCCM). Orders of the model are considered as extra parameters, and these parameters have significant influences on the performance of the model. The inductor current, the inductor current ripple, the amplitude of the output voltage, and the transfer functions of the fractional-order model are all related to orders. The contrast simulation experiments are conducted to investigate the performance of integer-order and fractional-order Buck-Boost converters in PCCM. Results of numerical and circuit simulations demonstrate that the proposed theoretical analysis is effective; the fractional-order model of the Buck-Boost converter in PCCM has certain theoretical and practical significance for modeling and performance analysis of other electrical or electronic equipment.

Power Device Thermal Fault Tolerant Control of High-Power Three-Level Explosion-Proof Inverter Based on Holographic Equivalent Dual-Mode Modulation

“…Simulation analysis of power losses in the same bridge 1 and its anti-parallel diode in NPC three-level explosion-proof inverter, based on two kinds of holographic equivalent mode, can be obtained in accordance with [14][15][16][17]. The simulation results are as shown in Figure 9.…”

“…The experiment platform is shown in Figure 7, including motor part and inverter part [14][15][16][17]. The parameters of winding asynchronous motor and component parameters of inverter main circuit are shown in Tables 3 and 4, respectively.…”

Proportional-Type Output Voltage-Tracking Controller for Interleaved DC/DC Boost Converter with Performance Recovery Property

“…The DC/DC converters have been widely utilized to supply a high quality DC power despite the disturbances for a variety of industrial applications such as uninterruptible power supply and solar photovoltaic systems [1][2][3][4][5][6]. In these applications, the DC/DC converters are required to be controlled their current and output voltage with a satisfactory closed-loop performance for a wide range of operating region in the presence of the converter parameter and unexpected load variations.…”

High-performance fractional order terminal sliding mode control strategy for DC-DC Buck converter

“…In this paper, we focus on the high-performance control strategy for the DC-DC Buck converter, and propose a novel method of fractional order on terminal sliding mode control (FTSMC). Then utilize the method to design a novel nonlinear sliding surface function (based on the double closed-loop structure) that is a fusion of characteristics of TSMC and FOC [ 12 – 13 ].…”