Subsynchronous resonance analysis using a discrete time model of thyristor controlled series compensator

The characteristic of a thyristor controlled series compensator (TCSC) is nonlinear in nature. Usually the TCSC control systems employs a conventional type controller to obtain the reactance order, which in turn, is converted into the corresponding firing angle of the TCR through a look-up table. The main drawback of this approach is the absence of a closed-loop model through which the stability of the system can be analyzed. To alleviate this problem a linear, discrete-time state space model of a TCSC compensated transmission line in the d–q domain is proposed (Srivastava et al., Model-based control design of a TCSC compensated power system, to appear in Electrical Power and Energy Systems). This model is further utilized in this paper for damping torsional oscillations arising due to subsynchronous resonance (SSR). The model is interfaced with synchronous generator and turbine-shaft models to obtain a closed form homogeneous state space representation that is suitable for eigenvalue analysis. Through eigenvalue analysis it is shown that proper choice of control gains can effectively damp out SSR. The eigenvalue analysis results are subsequently validated through PSCAD/EMTDC simulation studies.