Hierarchical control microgrid reduction model and stability analysis method

Xusheng Yang

doi:10.1016/j.ijepes.2026.112134

Hierarchical control microgrid reduction model and stability analysis method

2026-09-10

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DOI：10.1016/j.ijepes.2026.112134

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Abstract

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• A singular perturbation reduction method is proposed in this paper, and the reduced-order model can accurately retain the dynamic characteristics of the full-order model. • Combining the T-S fuzzy model and Lyapunov stability criterion and using the polynomial homotopy continuation method, a minimum level set estimation method is constructed to quantify the influence of perturbation on the stability of the microgrid. The minimum level set estimation method proposed in this paper can effectively reduce the degree of conservativism of the system’s attractor domain and improve the accuracy of the estimation of the attractor domain. • The influence of different parameters and large disturbances on the system attractor domain is verified by simulations, providing a basis for the structure, optimization control, and parameter design and the stability analysis of microgrid systems.

Keywords:

Microgrid

Reduced-order model

Participation factor

Area of attraction

Large signal disturbance

Lyapunov stability

Hierarchical control microgrid reduction model and stability analysis method

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