Analytical Modeling of TCSC Dynamics

Dragan Jovcic, G. N. Pillai

Research output: Contribution to journalArticlepeer-review

109 Citations (Scopus)


This paper presents an analytical, linear, state-space model of a thyristor-controlled series capacitor (TCSC). First, a simplified fundamental frequency model of TCSC is proposed and the model results are verified. Using frequency response of the nonlinear TCSC segment, a simplified nonlinear state-space model is derived, where the frequency of the dominant TCSC complex poles shows linear dependence on the firing angle. The nonlinear element is linearised and linked with the ac network model and the TCSC controller model that also includes a phase-locked-loop (PLL) model. The model is implemented in MATLAB and verified against PSCAD/EMTDC in the time and frequency domains for a range of operating conditions. The model is sufficiently accurate for most control design applications and practical stability issues in the subsynchronous range.

Original languageEnglish
Pages (from-to)1097-1104
Number of pages7
JournalIEEE Transactions on Power Delivery
Issue number2
Publication statusPublished - Apr 2005


  • modeling
  • power system dynamic stability
  • state-space methods
  • thyristor converters


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