Download PTU. I.K. Gujral Punjab Technical University (IKGPTU) M.Tech. EE 1st Semester 75732 POWER SYSTEM DYNAMICS I Question Paper.

Roll No. Total No. of Pages : 02

Total No. of Questions : 08

M.Tech. (Electrical Power System) (2018 Batch) (Sem.?1)

POWER SYSTEM DYNAMICS - I

Subject Code : EEPS-102-18

M.Code : 75732

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 advantages of per unit system of parameter measurement.

b) Prove that power remains unaltered when three phase system quantities are

transformed to two-phase equivalent quantities.

2. Explain the transformation of quantities from rotating axes ( ?, ?, 0 ) to stationary axes

(d,q,0)

3. A 555 MVA, 24kV. 0.95 p.f. 60Hz, 3-phase 2 pole synchronous generator has the

following inductances and resistances associated with the stator and field windings :

l

aa

(mH) l

ab

(mH) l

afd

(mH) L

ffd

(mH) R

a

( ?) R

fd

( ?)

3.2758+0.0458cos(2 ?) ?1.6379?

0.0458cos(2 ?+( ?/3))

40.0cos(2 ?) 576.92 0.0031 0.0715

a) Determine Lq in henrys

b) If the stator leakage inductance L

l

is 0.05129 mH, determine L

aq

in henrys.

c) Using the machine rated values as base values for the stator quantities, determine the

per unit values of the L

aq

following in the L

ad

-base reciprocal per unit system.

4. a) Write state-space model of induction machine using d-q axis theory.

b) Explain connection matrix [C] used in Park's transformation.

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1 | M-75732 (S35)-1065

Roll No. Total No. of Pages : 02

Total No. of Questions : 08

M.Tech. (Electrical Power System) (2018 Batch) (Sem.?1)

POWER SYSTEM DYNAMICS - I

Subject Code : EEPS-102-18

M.Code : 75732

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 advantages of per unit system of parameter measurement.

b) Prove that power remains unaltered when three phase system quantities are

transformed to two-phase equivalent quantities.

2. Explain the transformation of quantities from rotating axes ( ?, ?, 0 ) to stationary axes

(d,q,0)

3. A 555 MVA, 24kV. 0.95 p.f. 60Hz, 3-phase 2 pole synchronous generator has the

following inductances and resistances associated with the stator and field windings :

l

aa

(mH) l

ab

(mH) l

afd

(mH) L

ffd

(mH) R

a

( ?) R

fd

( ?)

3.2758+0.0458cos(2 ?) ?1.6379?

0.0458cos(2 ?+( ?/3))

40.0cos(2 ?) 576.92 0.0031 0.0715

a) Determine Lq in henrys

b) If the stator leakage inductance L

l

is 0.05129 mH, determine L

aq

in henrys.

c) Using the machine rated values as base values for the stator quantities, determine the

per unit values of the L

aq

following in the L

ad

-base reciprocal per unit system.

4. a) Write state-space model of induction machine using d-q axis theory.

b) Explain connection matrix [C] used in Park's transformation.

2 | M-75732 (S35)-1065

5. a) Explain why armature dynamics are neglected in small signal analysis of power

system.

b) Explain the eigen properties of the state matrix.

6. a) Draw and explain block diagram for power system stabilizer model.

b) Explain the procedure for linearization of non-linear equations.

7. Figure below shows the single line diagrams of thermal generating station consisting of

four 555MVA, 24kV, 60Hz units.

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

l

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,

a) Write the linearized state equation of the system.

b) Determine the eigenvalues, damped frequency of oscillations in Hz, damping ratio,

and undamped natural frequency for each of the following values of damping

coefficient (in pu torque/pu speed) K

D

=10.

8. a) Explain exponential load modeling for the analysis of power system.

b) Explain block diagrams of prime movers employed in thermal power stations.

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