Estimation of the Region of Attraction for a Boost Dc-Ac Converter Control Law

Abstract

In this paper is estimated the region of attraction of the nonlinear boost DC-AC converter by Sum of Squares. This is an optimization problem of maximization of the Lyapunov surface subjects to certain strict constraints due to saturation of the control variables of the system and to the composition of the inverter, which is formed from two DC-DC converters with positive voltage.

Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter

“…These phenomena can significantly jeopardize the system performance and can cause serious consequences on its reliability. Therefore, understanding these nonlinear phenomena, their analysis, prediction and control have increasingly become of great concern of many researchers all over the world [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. The major part of the analytical results on subharmonic oscillation in power electronics converters has been achieved for DC-DC converters [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”