Parametric Average-Value Model of Synchronous Machine-Rectifier Systems

Dynamic Average Modelling of Rectifier Loads and AC‐DC Converters for Power System Applications

“…The dynamic average models for six-pulse converters can be generally developed using two main approaches: analytical [28,29,34,[49][50][51] and parametric [30,31]. Using the first approach, the system variables are analytically averaged over a typical switching interval [28], and the system state and algebraic equations are derived.…”

“…The particular case of three-phase rectifier feeding constant-voltage loads has been addressed in [52,53]. The parametric approach has been considered in [30,31]. Extension of this method to more general cases and topologies is rather straightforward.…”

“…Parametric average-value model (PAVM): In the parametric approach [31], the rectifier switching cell is considered as an algebraic block that relates the DC voltage and currentv dc ,ī dc to the AC voltages and currentsv c qds andī c qds through the respective parametric functions as Deriving closed-form analytical expressions for (. ), (.)…”

“…is impractical. Instead, these functions may be extracted using simulation and expressed in terms of dynamic impedance of the switching cell defined as [31] …”

“…However, as the number of pulses increases, the complexity of switching pattern and the number of possible operational modes increases as well. The possibility of multiple operating modes makes the analytical derivations quite challenging [30][31][32][33][34]. These challenges may be overcome using the parametric approach in which the final AVM is assumed to have a well-defined structure, and the key model parameters are numerically extracted using the detailed simulations.…”