A novel stability analysis approach based on describing function method using for DC-DC converters

Abstract

Due to the nonlinearity of the switching process in DC-DC converters, the stability analysis with traditional linear modelling for DC-DC converters are invalid sometimes, especially in the transition interval from stable region to unstable region. In this paper, describing function method is firstly adopted in switching process modelling of DC-DC converters. Further, a new model based on describing function method for switching process is proposed to investigate the stability of the DC-DC converters. A boost converter is taken as an example in this paper, its traditional linear model and the proposed model with describing function method are both established, and the stability analysis based on these two kinds of models are carried out, respectively. Different stability analysis results are obtained according to the two kinds of models for the same boost converter with same circuit parameters and control parameters. According to the simulation and experimental results, it can be concluded that the stability analysis based on the proposed model with describing function method is more accurate and effective in the transition interval from stable region to unstable region, which provide a new stability analysis way for DC-DC converters.

Modeling Electronic Power Converters in Smart DC Microgrids—An Overview

“…In the case of EPCs it has been used to represent the nonlinear behavior of inductors so continuous and discontinuous conduction mode behaviors can be estimated in [61] or to consider the nonlinearities of the switching process in [62].…”

Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method

“…Linear-Based Method [5] Nonlinear-Based Methods [15] Characteristic Techniques -Nyquist stability criterion [16] -Bode stability criterion [17] -State-space stability analysis [18,19] -Root-locus stability analysis [20] -Phase plane stability analysis [21] -Lyapunov stability analysis [22][23][24][25] -Describing function method [26] -Popov stability criterion [27] Global equilibrium point Only valid for one equilibrium point Valid for all equilibrium points…”

Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos

“…Por tanto, se requiere desarrollar nuevos métodos de análisis de estabilidad considerando las características intrínsecas de los controles convencionales. La dinámica no lineal del convertidor boost debido al efecto de conmutación se estudió en (Shang et al 2015). En (Li et al 2016), se adopta como método para estudiar la estabilidad de señales grandes con un producto semitensorial de matrices con estabilidad de Lyapunov para un convertidor Buck, encontrando que el convertidor Buck tiene un buen comportamiento de estabilidad de señales grandes.…”