Power grid modeling based on the electromechanical energy approach aiming power systems stability studies

This paper presents a new modeling approach for power systems aiming its small-signal stability analysis. The work employs an electromechanical correspondence for the electrical grid along with the Lagrangian Energy Method for obtaining system's differential equations. The approach generalizes the so-called Steady-State one, introducing a full matrix for the damping coefficients, which in practice are responsible for damping the oscillations between machines, i.e. the inter-area modes. Modal Analysis results show that the proposed method reaches up to 96% of accuracy for two exemplary benchmark system when compared to simulations from a specialized power systems software.