A coordinated control strategy for power sharing and stability improvement under master-slave control considering line impedance differences

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Abstract
To address power sharing imbalances caused by inconsistent line impedances and steady-state stability degradation induced by equivalent impedances in multiple virtual synchronous generators (VSGs) operating in parallel within distribution networks, this paper proposes a master–slave coordinated control strategy. First, the impact of line impedance mismatch on power transfer and output impedance characteristics is analyzed. Subsequently, a master–slave power control architecture is developed. By centrally correcting and dispatching reference currents, the master unit overcomes the slow dynamic response of conventional consensus methods, achieving fast and accurate active and reactive power sharing. Additionally, virtual impedance control is incorporated into the master unit to reshape system output impedance. An equivalent reduction approach simplifies virtual impedance boundary design conditions, enhancing the system phase margin. Simulations validate the proposed strategy. Results demonstrate that the method achieves accurate power sharing under impedance mismatch conditions and effectively suppresses system resonance during grid impedance variations, significantly improving the steady-state stability and robustness of parallel VSG systems.