This paper presents an optimal LQR control for a static-series compensator (SSC) and propounds a design criterion for the choice of the LQR weights in order to mitigate grid-voltage dips. The authors present a SSC state-space model that considers the modelling of grid, transformer and R-L load. The proposed control works in the Stationary-Reference Frames (SRF) and implements AFC resonant controllers, allowing the direct control of unbalanced dips in a three wire grid-load connection.
Perez, J. [et al.]. Static reference frame LQR optimal state-feedback control for Static-Series Compensators. A: Annual Conference of the IEEE Industrial Electronics Society. "Proceedings of the IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society". Vienna: 2013, p. 3776-3781.