ECE 504 Power System Stability
Assignment 03 Session 07
I. Define the Situation
A round-rotor generator is delivering a steady-state power, Pe = Pm = 0.62 pu to
an infinite bus through a transmission line with reactance XL = 0.12 pu.
Assume that |Ea| = 1.77 pu, Vinf = 1 at an angle of 0 degrees, H = 3.0 sec, and
Xd = Xq = 1.15 pu. At t = 0 the circuit breakers open and reclose T seconds later.
Pm0.62:= Ea1.77:= Vinf 1.0:= H 3.0 s⋅:=
Xd1.15:= XL0.12:= ωs377 rad
sec
⋅:=
II. Goals
1. Use the equal area critieria and MathCad to determine:
A. Determine the critical clearing angle δCR.
B. Determine the corresponding critical clearing time, TCR.
C. Using TC = 0.85 TCR, find δx and δmin.
2. Use Simulink/MatLab to graph δe, ωr, pe, Pm for:
A. TC = 0.85 TCR,
B. TC = 0.98 TCR,
C. TC = 1.02 TCR,
D. TC = 1.15 TCR,
For each case put δe & ωr together on one subplot and pe & Pm together on another
subplot.
Zip and email to Andy by Session #9 (1/31/07 for on Campus students):
(2/14/07 for EO Students)
1. your MathCad sheet (JDLHW03p1.mcd)
2. Your Simulink file (JDLHW03p2.mdl)
3. your MatLab file(s)
JDLHW03p2A.m
JDLHW03p2B.m
JDLHW03p2C.m
JDLHW03p2D.m
JDLHW03p2graph.m
C:\JLAW\CLASSES\S07 ECE 504
\HOMEWORKS\Assignment03
\HW03.mcd
Page 1 of 1 January 26, 2007