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Impedance-based stability analysis is appealing in the case of Single-InputSingle-Output (SISO) systems. However, in the case of grid-tied voltage sourceconverter (VSC) systems, dq impedances of source and load (VSC) subsystems aretypically Multi-Input Multi-Output (MIMO) systems in which case the GeneralizedNyquist Criterion (GNC) is required for analyzing the closed loop stability,which increases the complexity of the analysis. This paper explores further thecoupling between positive and negative sequence impedances, in particular thedependency and bindings between them. It shows that the couplings in eachsubsystem can be compounded into two non-coupled sequence impedances if thesource and load subsystems are viewed as an integrated system instead of as twoseparate subsystems. Therefore, two decoupled SISO systems are obtained whichare defined as Augmented Sequence Impedance Networks (ASIN). The stabilityanalysis of the closed loop system is performed directly on the ASIN with theprincipal of Argument. Both numerical and time domain verifications arepresented.

Augmented Sequence Impedance Networks of Grid-tied Voltage Source Converter for Stability Analysis