Equivalence of generalized state-space averaging with DQ modelling methods in a balanced three-phase system

In most modern power electronics systems constant power loads (CPL) exist, which could have a severe influence on system stability. Conventionally two modelling tools for a system qualitative study are considered - generalized state-space averaging (GSSA) and DQ modelling methods. In this paper their strict mathematical equivalence in the balanced three-phase system is shown and areas of GSSA application are discussed. Experimental and simulation results comparing the switched model and the experiment results together with the comparison of the switched model and the GSSA and DQ models are also presented.