Equal Area Criterion

To determine the maximum permissible increase in mechanical power input for system stability.

Last Updated:  June 20, 2025

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# stability

Definition in a Textbook

Source: p831, first edition

The equal-area criterion is useful in determining the maximum permissible increase in $P_{m}$ for the system illustrated in Figure 13.14. Stability is maintained only if an area $A_{2}$ at least equal to $A_{1}$ can be located above $P_{m}$. If $A_{1} > A_{2}$, then the rotor angle $\delta$ will exceed its critical value, and stability will be lost. For $\delta > \delta_{\max}$, $P_{m}$ exceeds $P_{e}$, leading to net acceleration rather than deceleration.

Another earlier reference to the Equal Area Criterion can be found in .

Fig. 13.14 Response to a step change in mechanical power input (from )