Dynamic stability analysis of DC microgrid and construction of stability region of control parameters based on Pioncáre map

Shengxin Sun, Chenyu Tang, Da Xie, Chenghong Gu, Yanchi Zhang

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1 Citation (SciVal)


In the DC microgrid, the difficulty to maintain the stable operation of DC-DC power electronic devices will increase due to the random fluctuations or step changes of power. However, nonlinear dynamics' instability behaviour is very challenging to obtain through an average linearized stability analysis. Therefore, based on the Pioncáre map, this paper derived a global discrete iterative model and its explicit Jacobian matrix in the polynomial form using second-order Taylor series expansion, to detect nonlinear instability behaviour for DC microgrids. A global polynomial Pioncáre map for the microgrid is established, which contains the voltage-current controlled bidirectional DC-DC converter. Then, the derived discrete-time stability analysis method is compared with the average linearized stability analysis method based on the state space average model. Further discussion about the interactive effect on the parameters is conducted through the Jacobian matrix’ eigenvalues, bifurcation diagrams, Pioncáre sections and phase trajectories, leading to the 2-D and 3-D stable regions of operating parameters. Finally, dynamic simulation is carried out on MATLAB/Simulink. Results show that the method proposed can accurately capture the Neimark–Sacker bifurcation critical point in the DC microgrid, construct the stability region of the control parameters, and could help select the controller parameters of DC microgrids.

Original languageEnglish
Article number109107
JournalInternational Journal of Electrical Power and Energy Systems
Early online date29 Mar 2023
Publication statusPublished - 31 Aug 2023

Bibliographical note

Funding Information:
This work was supported in part by National Natural Science Foundation of China under Grant 52077137, 51677114.

Data availability:
Data will be made available on request.


  • Bifurcation
  • DC microgrid
  • Pioncáre map
  • Stability analysis

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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