Swing
equations
(per unit)
dδ/dt = ωo
(ωm – 1)
dωm/dt = (Pm – P)/2H
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
ω0 = 2πf0 f0 =
frequency (Hz)
δ = angle (rad)
P = EVsinδ/X ωm = speed
H = inertia constant (s)
E = internal voltage Pm = mechanical power
V =
terminal voltage P = electrical power
Xbefore (before
fault)
Transfer reactance X >>> Xduring
(during fault)
Xafter (after fault)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
IC:
ωm(0) = 1.0
δ(0)
= sin-1(PmX0/EV)