Download PTU. I.K. Gujral Punjab Technical University (IKGPTU) M.Tech. EE 1st Semester 75216 POWER SYSTEM DYNAMICS I Question Paper.
Roll No. Total No. of Pages : 02
Total No. of Questions : 8
M.Tech.(EE) (2018 Batch) (Sem.?1)
POWER SYSTEM DYNAMICS-I
Subject Code : MTEE-102-18
M.Code : 75216
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. Attempt any FIVE questions out of EIGHT questions.
2. Each question carries TWELVE marks.
3. Assume any missing data appropriately
1. a) Explain dis-advantages of per unit system of parameter measurement. (6)
b) Prove by Power lnvariance upon transformation from three axis to two axis? (6)
2. a) Derive an expression for transformer and speed voltages developed in the armature of
a two pole DC machine. (6)
b) Describe physical concept of Park's Transformation. (6)
3. a) Write state-space model of synchronous motor using d-q axis theory. (6)
b) Explain connection matrix [C] used in Park's transformation. (6)
4. a) Classify the power system disturbances occurring as small signal and large signal. (6)
b) What is the purpose of power system stabilizer, and also explain its functioning with
the help of blocks? (6)
5. Draw and explain block diagram of SMIB considering effects of synchronous machine
field circuit dynamics. (12)
6. a) Draw and explain induction motor equivalent circuit from steady state stability point
of view. (6)
b) Explain the synchronous generator excitation control methods employed. (6)
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1 | M-75216 (S35)-2334
Roll No. Total No. of Pages : 02
Total No. of Questions : 8
M.Tech.(EE) (2018 Batch) (Sem.?1)
POWER SYSTEM DYNAMICS-I
Subject Code : MTEE-102-18
M.Code : 75216
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. Attempt any FIVE questions out of EIGHT questions.
2. Each question carries TWELVE marks.
3. Assume any missing data appropriately
1. a) Explain dis-advantages of per unit system of parameter measurement. (6)
b) Prove by Power lnvariance upon transformation from three axis to two axis? (6)
2. a) Derive an expression for transformer and speed voltages developed in the armature of
a two pole DC machine. (6)
b) Describe physical concept of Park's Transformation. (6)
3. a) Write state-space model of synchronous motor using d-q axis theory. (6)
b) Explain connection matrix [C] used in Park's transformation. (6)
4. a) Classify the power system disturbances occurring as small signal and large signal. (6)
b) What is the purpose of power system stabilizer, and also explain its functioning with
the help of blocks? (6)
5. Draw and explain block diagram of SMIB considering effects of synchronous machine
field circuit dynamics. (12)
6. a) Draw and explain induction motor equivalent circuit from steady state stability point
of view. (6)
b) Explain the synchronous generator excitation control methods employed. (6)
2 | M-75216 (S35)-2334
7. Figure below shows the single line diagrams of thermal generating station consisting of
four 555MVA, 24kV, 60Hz units. (12)
Fig.1 Single line diagram of SMIB
The post fault condition in per unit on the 2220MVA, 24kV base is as given below :
Parameter Value Parameter Value Parameter Value
X
d
1.81
'
do
T
8.0 P 0.9
X
q
1.76 H 3.5
MW-s/MVA
Q 0.3
(overexcited)
'
d
X
0.3 K
D
0,10,-10 E
t
1.0 36 ? ?
X
t
0.16 R
a
0.003 E
B
0.995 0 ? ?
If the generators are to be modeled as a single equivalent generator represented by the
classical model. Write the linearized state equation of the system. Determine the
eigenvalues, left and right eigen vectors, and participation matrix for K
D
=10 damping
coefficient (in pu torque/pu speed).
8. The following parameters are in per unit on machine rating of a 555MVA, 24kV, 0.9 p.f.
60Hz, 3600 prm turbine-generator :
L
ad
1.66 L
aq
1.61 L
1
0.15 R
a
0.003
L
fd
0.165 R
fd
0.0006 L
1d
0.1713 R
1d
0.0284
L
1q
0.7252 R
1q
0.00619 L
2q
0.125 R
2q
0.02368
L
fkd
is assumed to be equal to L
ad
When the generator is delivering rated MVA at 0.9 pf(lag) and rated terminal voltage,
compute the following :
a) The Internal angle ?
i
in electrical degrees. (6)
b) Per unit values of e
d
, e
q
, i
d
, i
q
, i
1d
, i
1q
, i
2q
, i
fd
, e
fd
(6)
Assume that the effect of magnetic saturation at the given operating condition is to reduce
L
ad
and L
aq
to 80% of the values given above.
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on
any page of Answer Sheet will lead to UMC against the Student.
Generator L.T.
G
H.T. j0.5 Infinite Bus
1 2
E = 1.0 36?
t
? E = 0.9 0?
B
?
P = 0.9,
Q = 0.3 (over excited)
H = 3.5 MW?5/MV A
X = 0.3
d
?
3
j0.15 j0.93
s/MVA
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This post was last modified on 13 December 2019