Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Slope Compensation Design for a Peak Current-Mode Controlled Boost-Flyback Converter

Version 1 : Received: 27 September 2018 / Approved: 28 September 2018 / Online: 28 September 2018 (05:50:01 CEST)

A peer-reviewed article of this Preprint also exists.

Muñoz, J.-G.; Gallo, G.; Angulo, F.; Osorio, G. Slope Compensation Design for a Peak Current-Mode Controlled Boost-Flyback Converter. Energies 2018, 11, 3000. Muñoz, J.-G.; Gallo, G.; Angulo, F.; Osorio, G. Slope Compensation Design for a Peak Current-Mode Controlled Boost-Flyback Converter. Energies 2018, 11, 3000.

Journal reference: Energies 2018, 11, 3000
DOI: 10.3390/en11113000

## Abstract

Power converters with coupled inductors are very promising due to the high efficiency and high voltage gain. Apart from the aforementioned advantages, the boost-flyback converter reduces the voltage stress on the semiconductors. However, to obtain good performance with high voltage gains, the controller must include two control loops (current and voltage), and a compensation ramp. One of the most used control techniques for power converters is the peak current-mode control with compensation ramp. However, in the case of a boost-flyback converter there is no mathematical expression in the literature, to compute the slope of the compensation ramp. In this paper, a formula to compute the slope of the compensation ramp is proposed in such a way that a stable period-1 orbit is obtained. This formula is based on the values of the circuit parameters, such as inductances, capacitances, input voltage, switching frequency and includes some assumptions related to internal resistances, output voltages, and some other electrical properties related with the physical construction of the circuit. The formula is verified numerically using the saltation matrix and experimentally using a test circuit.

## Subject Areas

slope compensation; coupled inductors; current mode control; boost-flyback converter

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