LPV supplementary damping controller design for a thyristor controlled series capacitor (TCSC) device

Qian Liu, Vijay Vittal, Nicola Elia

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


In this paper, the Linear Parameter Varying (LPV) controller design technique is applied in the design of a supplementary damping controller (SDC) for a Thyristor Controlled Series Capacitor (TCSC). The power system model with TCSC devices is linearized at different operating points to obtain an LPV open loop model, whose state space entries depend continuously on a time varying parameter vector. Appropriate scheduling parameters are chosen and a suitable grid is formed in the entire parameter space. The locations of the TCSCs with their controllers are carefully chosen based on the analysis of mode shapes as well as the calculation of the modal controllability. An LPV damping controller for TCSC is then designed based on a single Lyapunov function under some realistic constraints. Comparisons from simulation results are presented between an LPV SDC and an H SDC, which show that the LPV SDC can guarantee robustness over a wider operating range as well as allow more flexibility in achieving specific performance objectives at each operating point.

Original languageEnglish (US)
Pages (from-to)1242-1249
Number of pages8
JournalIEEE Transactions on Power Systems
Issue number3
StatePublished - Aug 2006
Externally publishedYes

Bibliographical note

Funding Information:
Manuscript received May 11, 2005; revised August 11, 2005. This work was supported in part by the National Science Foundation under Grants ECS-0338624 and EEC-9908690 and in part by the Power System Engineering Research Center. Paper no. TPWRD-00277-2005.


  • Damping controller
  • IEEE 50-machine test system
  • Linear parameter varying (LPV) controller
  • Thyristor controlled series capacitor (TCSC)


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