Border Collision of Three-Phase Voltage-Source Inverter System with Interacting Loads

Zhen Li, Bin Liu, Yining Li, Siu Chung Wong, Xiangdong Liu, Yuehui Huang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)


As a commercial interface, three-phase voltage-source inverters (VSI) are commonly equipped for energy conversion to export DC power from most distributed generation (DG) to the AC utility. Not only do voltage-source converters take charge of converting the power to the loads but support the grid voltage at the point of common connection (PCC) as well, which is dependent on the condition of the grid-connected loads. This paper explores the border collision and its interacting mechanism among the VSI, resistive interacting loads and grids, which manifests as the alternating emergence of the inverting and rectifying operations, where the normal operation is terminated and a new one is assumed. Their mutual effect on the power quality under investigation will cause the circuital stability issue and further deteriorate the voltage regulation capability of VSI by dramatically raising the grid voltage harmonics. It is found in a design-oriented view that the border collision operation will be induced within the unsuitable parameter space with respect to transmission lines of AC grid, resistive loads and internal resistance of VSI. The physical phenomenon is also identified by the theoretical analysis. With numerical simulations for various circuit conditions, the corresponding bifurcation boundaries are collected, where the stability of the system is lost via border collision.
Original languageEnglish
Article number1650132
JournalInternational Journal of Bifurcation and Chaos
Issue number8
Publication statusPublished - 1 Jul 2016


  • bifurcation
  • border collision
  • interacting loads
  • stability boundary
  • Three-phase voltage-source inverter

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics


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