Analytical modeling of a square-wave-controlled cascaded multilevel STATCOM

Dragan Jovcic, Ronny Sternberger

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


The aim of this paper is to present an analytical, state-space model of an indirect, voltage-controlled cascaded-type multilevel Static Synchronous Compensator (STATCOM) with ‘square wave control’. The multilevel converter model is segmented into a dynamic and static part in order to accurately represent all internal feedback connections. Each voltage component is analysed in detail and described mathematically by an averaged expression with an equivalent capacitance. The STATCOM model is linearised and linked with a DQ frame ac system model and the controller model, and implemented in MATLAB. The controller gains are selected by analyzing the root locus of the analytical model, to give optimum responses. The validity and accuracy of the proposed
model is verified against non-linear digital simulation PSCAD/EMTDC in the time and frequency domain. The model is very accurate in the sub-synchronous range, and it is adequate for most control design applications and practical stability issues below 100Hz. Furthermore, the developed model can be used for multilevel cascaded converters which are exchanging real power.
Original languageEnglish
Pages (from-to)2261-2269
Number of pages9
JournalIEEE Transactions on Power Delivery
Issue number4
Publication statusPublished - Oct 2009


  • modelling
  • multilevel converter
  • static VAR compensators
  • state-space methods


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