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lecture21

# lecture21 - Transient Stability The ability of the power...

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Power Systems I Transient Stability The ability of the power system to remain in synchronism when subject to large disturbances Large power and voltage angle oscillations do not permit linearization of the generator swing equations Lyapunov energy functions simplified energy method: the Equal Area Criterion Time-domain methods numerical integration of the swing equations Runga-Kutta numerical integration techniques

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Power Systems I Equal Area Criterion Quickly predicts the stability after a major disturbance graphical interpretation of the energy stored in the rotating masses method only applicable to a few special cases: one machine connected to an infinite bus two machines connected together Method provides physical insight to the dynamic behavior of machines relates the power angle with the acceleration power
Power Systems I Equal Area Criterion For a synchronous machine connected to an infinite bus The energy form of the swing equation is obtained by multiplying both sides by the system frequency (shaft rotational speed) ( ) accel e m accel e m P H f P P H f dt d P P P dt d f H = = = = 0 0 2 2 2 2 0 π π δ δ π ( ) = dt d P P H f dt d dt d e m δ π δ δ 2 2 0 2 2

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Power Systems I Equal Area Criterion ( ) ( ) ( ) δ π δ δ π δ δ π δ δ d P P H f dt d
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lecture21 - Transient Stability The ability of the power...

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