Time-domain derived frequency-domain voltage source converter model for harmonic analysis

It is well recognized that for voltage source converters (VSCs) there exists strong coupling between AC-side and DC-side harmonics; this harmonic coupling can be represented through a Frequency Coupling Matrix (FCM). This paper develops a frequency-domain steady-state harmonic model for loads/generators interfaced to the grid through VSCs. The purpose of developing this model is to allow for improved harmonic analysis of distribution grids and to derive an intuitive FCM in which the relationships between the various state-variables are readily available to the user. A space-vector time-domain derived approach is used to derive the FCM. The FCM is validated through PSCAD simulations. The derived FCM converges faster than previous time-domain derived models and results from interfacing the model with the OpenDSS harmonic analysis software are shown.