Two-Parameter Stability Analysis of Resistive Droop Control Applied to Parallel-Connected Voltage-Source Inverters

Eduardo Lenz, Daniel J. Pagano, Adriano Ruseler, Marcelo Lobo Heldwein

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


The present research work aims to study the large signal stability of two parallel-connected voltage-source inverters operating with resistive droop control through bifurcation analysis. This minimal setup can be considered a prototype of a small islanded ac microgrid studying where droop control acts as a synchronization scheme between inverters. Since switching power converters are strong nonlinear circuits, bifurcation analysis helps to understand nonlinear phenomena more deeply than the standard linear approach. Plenty of complicated nonlinear phenomena have been observed through bifurcation analysis, such as multiequilibria, period-doubling bifurcation, Hopf bifurcation, quasiperiodicity, border collision, bistability, and chaos. Thereby, a set of parameters under certain conditions can influence the equilibrium point and its stability, leading to some of the aforementioned nonlinear phenomena. In this sense, the main contribution of this article is to detect the nonlinear phenomena in considering islanded ac microgrid in order to determine a safe droop parameter region for more robust microgrid operation. This information can be summarized in bifurcation diagrams leading to practical rules for choosing the control and droop parameters. Experimental results are performed to validate the main instabilities predicted by the theoretical models.

Original languageEnglish
Article number8979391
Pages (from-to)3318-3332
Number of pages15
JournalIEEE Journal of Emerging and Selected Topics in Power Electronics
Issue number4
StatePublished - Dec 2020
Externally publishedYes


  • Bifurcation analysis
  • droop control
  • islanded ac microgrids
  • nonlinear stability analysis
  • voltage-source inverter (VSI)


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