Abstract
The delta method is applied to solve the transient stability problem of a synchronous machine connected to an infinite bus. In the machine analysis emphasis is placed on the governor action or flux-decay effect. The swing equation of the machine is a third-order non linear differential equation. In the paper the delta method is extended to this third-order nonlinear swing equation. — The system trajectory and the critical clearing time of the system have been obtained. A numerical example is given.
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