TCR nonlinear and linear dynamic analytical models

This work presents the development of both nonlinear and linear analytical models for Thyristor Controlled Reactors (TCRs). The nonlinear model for the TCR was developed based on generalized switching functions and from this model, a detailed linear model was derived. The linear model allows for the analysis and precise understanding of the behavior of TCR under small disturbances both in the time and frequency domains, for frequency ranges of up to some tens of Hz. This model clearly shows that the TCR dynamics are operation point dependent. System parameter variations are also correctly considered in the model. With the proposed model, it is possible to design static compensators controllers in an integrated form, avoiding risks of instabilities and guaranteeing a good overall dynamic performance for the system. Validation of the models was done by comparing simulated results obtained with the proposed model with those obtained with a traditional electromagnetic transients program (EMTP).