A Basis-Transformed State Space Formulation for the Analysis of Controlled Rectifiers under Ideal and Non-Ideal Steady State Conditions

This paper presents a general method for the analysis of controlled rectifiers under ideal and non-ideal system conditions. Both 6- and 12-pulse rectifiers are considered with a general load being represented by a series resistance-inductance together with a dc emf. The formulation of the analysis, which employs a basis transformed state space technique, is detailed. This transformation considerably simplifies the analysis for rectifiers operating under ideal conditions. Moreover, the effects of non-ideal conditions (i.e. supply unbalances, input filtering, real gating circuits etc.) can be directly included in the analysis. The method is particularly well suited for implementation on small microcomputer systems. Examples illustrating the flexibility and numerical robustness of the method are given and comparisons are made with experimental data.