This paper is concerned with the analysis and comparison of nonlinear phenomena in current and voltage controlled boost, buck and buck-boost DC/DC converters. The study is carried out by using three different discrete time maps: the stroboscopic map, the S-switching map and the A-switching map, which are obtained by different samplings of the state variables. The construction of a general A-switching map is outlined. Under realistic assumptions on the switching frequency, simplified closed form maps are presented. The use of a certain Jacobian matrix for the analytical detection of some bifurcations is proposed. Routes to chaos exhibited by the three converters are discussed and compared via numerical experiments.
Analysis of Chaotic Buck, Boost and Buck-Boost Converters through Impact Maps / DI BERNARDO, Mario; Glielmo, L.; Garofalo, Francesco; Vasca, F.. - STAMPA. - 1:(1997), pp. 754-760. ( IEEE Power Electronics Specialists Conference St. Louis, Missouri, USA GIUGNO 1997) [10.1109/PESC.1997.616804].
Analysis of Chaotic Buck, Boost and Buck-Boost Converters through Impact Maps
DI BERNARDO, MARIO;L. Glielmo;GAROFALO, FRANCESCO;
1997
Abstract
This paper is concerned with the analysis and comparison of nonlinear phenomena in current and voltage controlled boost, buck and buck-boost DC/DC converters. The study is carried out by using three different discrete time maps: the stroboscopic map, the S-switching map and the A-switching map, which are obtained by different samplings of the state variables. The construction of a general A-switching map is outlined. Under realistic assumptions on the switching frequency, simplified closed form maps are presented. The use of a certain Jacobian matrix for the analytical detection of some bifurcations is proposed. Routes to chaos exhibited by the three converters are discussed and compared via numerical experiments.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
