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<p>This work addresses the nonlinear dynamics of a reduced model for islanded DC microgrids with bus voltage droop control, whose loads are active and nonlinear, e.g., constant power loads (CPLs). Two CPL models are considered: (i) an ideal CPL and (ii) a piecewise-smooth CPL with Buck converter characteristics; and the analysis is performed separately for each of them. Case (ii) is the main focus of study in this work, being described as a planar continuous piecewise-smooth system with two zones separated by a straight line. The main objective is to characterize local and global nonlinear phenomena based on multiparametric analysis of bifurcations and asymptotic stability. Among the original results obtained, the following stand out: proof of the occurrence of Hopf-like bifurcations and the description of explicit conditions on the system parameters that ensure global asymptotic stability of the desired operating point.</p>

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Global stability and discontinuous bifurcations in DC microgrids under Droop control

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年8月5日

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  • Rony Cristiano,
  • Daniel J. Pagano

摘要

This work addresses the nonlinear dynamics of a reduced model for islanded DC microgrids with bus voltage droop control, whose loads are active and nonlinear, e.g., constant power loads (CPLs). Two CPL models are considered: (i) an ideal CPL and (ii) a piecewise-smooth CPL with Buck converter characteristics; and the analysis is performed separately for each of them. Case (ii) is the main focus of study in this work, being described as a planar continuous piecewise-smooth system with two zones separated by a straight line. The main objective is to characterize local and global nonlinear phenomena based on multiparametric analysis of bifurcations and asymptotic stability. Among the original results obtained, the following stand out: proof of the occurrence of Hopf-like bifurcations and the description of explicit conditions on the system parameters that ensure global asymptotic stability of the desired operating point.