Study of nonlinear dynamics in a three-phase transistor controlled rectifier with a PI voltage controller in regeneration mode

Abstract

This paper is devoted to the study of nonlinear dynamic modes of a three-phase transistor controlled rectifier with a PI voltage controller in regeneration mode. A piecewise-smooth mathematical model of the considered converter has been utilized for its bifurcation analysis. Dynamic modes map and a number of bifurcation diagrams, demonstrating bifurcation phenomena specific to a three-phase controlled rectifier in regeneration mode, have been simulated on basis of its piecewise-smooth model. A 3D diagram of RMS value of input current parasitic harmonics in the space of two system parameters — the mains supply voltage magnitude and the DC link current — is presented. There are also given the simulation results for RMS value of input current parasitic harmonics at crossing the first bifurcation border that made possible the analysis of quality variations of the mains supply input current during regeneration. It has been shown that in the range of small values of variation parameters complex dynamic modes are observed. They include quasiperiodic oscillations and multistability domains, in which multiple stable modes with different cycle ratio coexist. With that, the system exhibits significant input current quality deterioration. The results of the research demonstrate the relevance of theoretical study of nonlinear dynamics of a three-phase transistor controlled rectifier in regeneration mode in engineering design process.