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In power system analysis, the Equal Area Criterion is of great importance onrevealing the condition for a grid-connected synchronous generator to maintainits transient rotor angle stability with the grid under a large disturbance. Atpresent, the increasing renewable distributed energy resources (DERs) areintroducing a variety of new nonlinear characteristics that are different fromthose of conventional generation although these DERs can still be operated andmodeled as grid-connected oscillators with synthetic inertias. To studystability and synchronism of a grid-connected DER operated as a more generalnonlinear oscillator, this paper proposes a Generalized Equal Area Criterionfor estimation of transient stability margin subject to a large disturbance.

Generalized Equal Area Criterion for Stability Analysis of Nonlinear Oscillators