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Unformatted text preview: m 6: ZQHmmmm m_>_m_._.m>m mm>>On_ ZH mHZmHmzéF vmm mum. ? ECE 524:
Transients in Power Systems Session 5; Pagil
Spring 2012
ECE 524: Homework #1 Due Session 9 (Feb 1 on campus, February 15 for Engineering Outreach) Solve each of these problems analytically and then simulate them using a transient
simulation program. Compare your results. Problem 1. Do the following for the circuit below: R C1= 60uF
C2 = 40uF EM", C jet—«WE C
1 1: i I ‘ 2 R=50hm The capacitor C1 in the ﬁgure has an initial charge of 1.0 Coulomb; C2 is discharged.
Calculate the following: A. The peak current through the switch B. The current 200 microseconds after the switch closes
C. The total energy dissipated in the resistor D. The ultimate energy stored in C2 E. The ultimate voltage on C1
F. Verify that energy is conserved Problem 2: Given the simple LC network with the conditions given below ﬁnd the following: C1 = 60”}: QC] = 1C
Cl1 I CZ C2 = 40M: QC2 = 0C
X = Sohm at 60Hz A. Find the instantaneous current when the switch closes.
B, Determine the peak current C. Find the energy stored in the inductor at t = lms D. Find the voltage across C; at t= lms. 0% s”? ECE 524: _ Session 5; Page 2/2
Transients in Power Systems Spring 2012 Problem 3. The ﬁgure below shows the field coil of an electric machine. It is excited by
closing switch 81 onto an 800V d.c. bus. Determine the energy stored in the coil, and the
energy dissipated in the coil resistance, 1 sec after 81 is closed. When the coil current has attained a steady value, S] is opened and S; is closed
simultaneously. What will be the voltage across 81 0.1 sec later? How much energy will
eventually be dissipated in R2? R2 := lOohm
Ii
‘2. Field Coil:
Q
0 Rf Z: 3.60hm
Q.
"' Lf I: 2H 0 Note: when simulation this, 81 needs to be set to interrupt the steadystate
load current
0 S2 needs to be commanded to close at the same time 81 opens. 74r PM M41566 Problem 4: A 230sz69kV, lOOMVA three phase transformer (wye groundedwye grounded)
has per unit leakage reactance of 10% with an X/R ratio of 20. This is supplied by a source
impedance of j0.01pu. No change of base calculations are needed. A. Calculate the worst case peak fault current for a fault at the low voltage terminals. What
is the angle of inception compared to the voltage waveform (assume a cosine voltage
source)? Include the resistance in this part. B. Using simulation only, repeat part A if the X/R ratio of the transformer is 7. 0 Model the system referred to the low voltage winding for your simulation, do not use
the built—in transformer models yet. We will learn to use the transformer models in the
simulation later in the semester. 5 U 7 Version 5.6+ AC source
(1&3 phase) Component: ACSOURCE f r és ECE 524
Lecture 3 1 F3“ VO'tage 3 ph current
source source Single Phase AC Source
(ATPDraw 5.5 or earlier) Spring 2012 ECE 524
Lecture 3 Intro to ATP and ATPDraw ﬁgs? @93 dﬁaom afloouuis
osmnﬁobﬁhgmca ‘ , . ‘ ‘osmvtoﬁﬁgmzca U ECE 524
I ATPDraw ATP Data File /SWITCH
C < n 1>< n 2>< Tclose ><Top/Tde >< Ie ><Vf/CLOP >< type > LV .02407 1.53 1
/SOURCE
C < n 1><>< Ampl. >< Freq. ><Phase/TO>< Al >< T1 >< TSTART >< TSTOP >
14vs 0 28169. 60. —90. —1. 1.33
/OUTPUT
VS
BLANKBRANCH
BLANK SWITCH
BLANKSOURCE
BLANKOUTPUT
BLANKPLOT
BEGIN NEW DATA CASE
BLANK Intro to ATP and ATPDraw Spring 2012 U When handing in ECE524
. Lec re3
I homework aSSIgnments m 0 Include any hand calculations you did to set up
the problem 0 Include circuit diagram
0 Include text from the *.atp file 0 Include simulation plots » Zoom in on key results » Catur a V 17 retation of the results matters! 0 See examl i Intro toATP and ATPDraw Spring 2012 ...
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 Energy, Alternating Current, Current Source

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