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This chapter identifies three new routes to voltage instability in rectifier-based systems, namely, (i) supercritical Hopf bifurcation and successive saddle-node bifurcation of periodic orbits, (ii) subcritical Hopf bifurcation, and (iii) departure from a stable basin of attraction. Each of these routes will eventually lead to unexpected collapse of the AC bus voltage. Moreover, it is also found that the system may undergo a Bautin bifurcation to transform a Hopf bifurcation from supercritical to subcritical or vice versa.

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Routes to Voltage Instability in Rectifier-Based Systems

  • 章节

  • 发表日期：

    2025年

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  • Jingxi Yang,
  • Chi Kong Tse

摘要

This chapter identifies three new routes to voltage instability in rectifier-based systems, namely, (i) supercritical Hopf bifurcation and successive saddle-node bifurcation of periodic orbits, (ii) subcritical Hopf bifurcation, and (iii) departure from a stable basin of attraction. Each of these routes will eventually lead to unexpected collapse of the AC bus voltage. Moreover, it is also found that the system may undergo a Bautin bifurcation to transform a Hopf bifurcation from supercritical to subcritical or vice versa.