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

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Power Systems I Transient Stability circle6 The ability of the power system to remain in synchronism when subject to large disturbances rhombus6 Large power and voltage angle oscillations do not permit linearization of the generator swing equations circle6 Lyapunov energy functions rhombus6 simplified energy method: the Equal Area Criterion circle6 Time-domain methods rhombus6 numerical integration of the swing equations rhombus6 Runga-Kutta numerical integration techniques
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Power Systems I Equal Area Criterion circle6 Quickly predicts the stability after a major disturbance rhombus6 graphical interpretation of the energy stored in the rotating masses rhombus6 method only applicable to a few special cases: square6 one machine connected to an infinite bus square6 two machines connected together circle6 Method provides physical insight to the dynamic behavior of machines rhombus6 relates the power angle with the acceleration power
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Power Systems I Equal Area Criterion circle6 For a synchronous machine connected to an infinite bus circle6 The energy form of the swing equation is obtained by multiplying both sides by the system frequency (shaft rotational speed) ( 29 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 ( 29 - = 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
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