New stability method for renewable microgrids eliminates need for equilibrium points
ArXiv paper introduces equilibrium-free contraction analysis for grid-forming converters under persistent fluctuations.
An equilibrium-free contraction stability method for grid-forming converter-based microgrids is proposed. Using semi-contraction theory and a symmetry-aware projected state space, it derives regional contraction conditions that provide trajectory-level stability guarantees without requiring equilibrium knowledge. The method estimates the region of attraction for autonomous operation and gives explicit bounds for quasi-steady tracking and robustness under disturbances. Case studies on a 9-bus system validate the proposed method.
- Uses semi-contraction theory to remove dependence on equilibrium points for stability analysis.
- Blockwise Jacobian decomposition handles coupled active/reactive power dynamics in GFM converters.
- Validated on a 9-bus system; provides trajectory-level guarantees and region of attraction estimates.
Why It Matters
Enables reliable stability analysis for renewable microgrids under real-world fluctuating conditions, accelerating grid decarbonization.