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Code No: D0701 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

M.Tech II - Semester Examinations, March/April 2011 POWER SYSTEM CONTROL AND STABILITY

(ELECTRICAL POWER SYSTEMS)

Time: 3hours Max. Marks: 60 Answer any five questions

All questions carry equal marks - - -

1. a) Explain the analysis of transient stability . b) What is the effect of excitation system on transient stability? [12] 2. What are the different modes of oscillations of unregulated synchronous machines obtain relevant equations? [12] 3. Derive the stator voltage equations and rotor voltage equations from the abc frame of reference to dqo reference frame. [12] 4. What is the objective of power system stabilizer and explain how it can improve the stability of the system. [12] 5. Explain the dynamics of a synchronous generator when connected to an infinite bus. [12] 6. a) Explain state space description of the excitation system. b) Draw the block diagram of static excitation system & explain its operation. [12] 7. a) Explain the factors affecting voltage stability & voltage collapse. b) Explain any one method to assess voltage stability of the system. [12] 8. Write short notes on a) Multimachine system b) Dynamic stability by Rouths criterion c) Variable gradient method stability analysis. [12]

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R09

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Code No: C6401, C4901

R09 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

M.TECH I Semester Examinations, April/May -2012 POWER SYSTEM DYNAMICS

(COMMON TO Power Engineering & Energy Systems, Electrical Power Engineering)

Time: 3hours Max.Marks:60 Answer any five questions

All questions carry equal marks - - -

1.a) From fundamentals derive the swing equation of a single generator connected to a parallel lines through the transformer.

b) A two pole 50Hz,11 kV turbo alternator has a ratio of 120MW, power factor 0.86lagging. The rotor has a moment of inertia of 10,000 kgm2. Calculate H and M.

2. a) Explain why the synchronous machine rotor self inductances are constant. b) Discuss the following: i) Stator and rotor base quantities ii) Measurement of characteristic reactance xc 3. a) From the fundamentals obtain the block diagram representation of separately excited DC generator.

b) A generator is connected to an infinite bus through an external impedance of jXe. If Eb = Vto = 1.0 p.u. Find the initial conditions. Assume xe = 0.28 p.u. Consider the generator data: xd = 1.8, xq = 1.7 , x d = 0.18, x q= 0.25,Ra = 10.0, T "d = 0.5 sec, = 0.1 sec, H = 5 Sec and f''qT B = 50 Hz.

4. From the fundamentals obtain the overall block diagram representation of SMIB. 5. Discuss the following:

i) Dynamic compensator ii) Basic concepts in applying PSS

6.a) Explain in detail about the point by point method of solution for transient stability.

b) Obtain computation of 1p [Cp]C .

7. Obtain the transformation equations of stator voltage and torque equations. 8. Explain about synchronizing and damping torque analysis application case 1 and case 2.

*****

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R09Code No: D0701 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

M.Tech II - Semester Examinations, October 2011 POWER SYSTEM CONTROL AND STABILITY

(ELECTRICAL POWER SYSTEMS) Time: 3hours Max. Marks: 60

Answer any five questions All questions carry equal marks

- - -

1. Discuss in detail about transient stability and steady state stability of power system. [12] 2.a) Derive the expression of Power Angle curve for single machine connected to

an infinite bus through a transmission line. b) A synchronous machine is connected to an infinite bus through a transformer

and a double circuit line. The infinite bus voltage is 1.0 p.u. The direct Axis transient reactance of the machine is 0.2 p.u, the transformer reactance is 0.10 pu, and the reactance if each of the transmission lines is 0.40 pu, all to a base of the machine rating of the synchronous machine. Initially the machine is delivering a power of 0.8 p.u with a terminal voltage of 1.05 pu. The interior constant H = 5mj / KVA. All resistances are neglected. Find the swing equation.

[12] 3. With block diagram explain the state space model for an excitation system. [12] 4. How is Lyapunovs method use energy concept stability analysis? Explain how

Lyapunovs function for single machine connected to an infinite bus is obtained? [12]

5. What is the difference between rotor angle stability and voltage stability? How

dose real and reactive powers affect these stabilities? Give the mathematical formulation of voltage stability problem of single machine connected to load through a line. [12]

6. Explain the concept of synchronizing torque and damping torque as applied to SMIB system. [12] 7. Mention the state space equation for SMIB system and discuss the effect of AVR on system stability using eigen value approach. [12] 8. What are contributions of high gain AVR and discuss the role of PSS in improving the dynamic performance of Power system. [12]

********

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Code No: C6401, C4901 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

M.Tech I SEMESTER EXAMINATIONS, APRIL/MAY-2013 POWER SYSTEM DYNAMICS

(COMMON TO POWER ENGINEERING AND ENERGY SYSTEMS, ELECTRICAL POWER ENGINEERING)

Time: 3hours Max.Marks:60 Answer any five questions

All questions carry equal marks - - -

1.a) Explain the equal area criterion for stability analysis. b) Derive swing equation. 2. Analyze the steady state performance of unloaded generator. 3. Discuss any two excitation systems using block diagram approach. 4. Derive the stator voltage equations and rotor voltage equations from abc frame of

reference to dq reference frame. 5. Using small signal analysis obtain stator algebraic equations and rotor mechanical

equations in linearised form. 6. Explain the concept of synchronizing torque and damping torque and using the

same concept analize SMIB system without AVR. 7. What is the objective of PSS? Explain its role in system dynamic performance.

8. Write short notes on: a) Excitation Control. b) Application of Routh-Hurwitz criterion. c) Tuning of PSS.

* * * * * * * * * * * *

R09

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Code No: D0701 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

M.Tech II SEMESTER EXAMINATIONS, APRIL/MAY-2013 POWER SYSTEM CONTROL AND STABILITY

(ELECTRICAL POWER SYSTEMS) Time: 3hours Max.Marks:60

Answer any five questions All questions carry equal marks

- - - 1.a) Develop the classical model of multimachine system with relevant equations. b) Explain the effect of the excitation system on Transient stability. 2. What are the different modes of oscillation of unregulated synchronous machine?

Deduce the relevant equations. 3. Explain the dynamics of a synchronous generator when connected to an infinite

bus. 4. Analyse power system stability using Eigen value approach. 5. Discuss about any two excitation systems using block diagram approach. 6.a) What is the effect of excitation on generator power limits? Explain. b) Draw the block diagram of the power system stabilizer and explain each module. 7. Explain the terms: a) Voltage control b) Voltage collapse. Also discuss one method to assess voltage stability of the

system. 8. Write short notes on: a) Dynamic stability b) State space model of type-2 excitation system c) Popovs method of stability analysis.

--ooOoo--

R09

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NR/R09

Code No: A4901/C4901, C6401 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

M.Tech I - Semester Examinations, October/November-2011 POWER SYSTEM DYNAMICS

(COMMON TO ELECTRICAL POWER ENGINEERING, POWER ENGINEERING AND ENERGY SYSTEMS)

Time: 3hours Max. Marks: 60 Answer any five questions

All questions carry equal marks - - -

1.a) Distinguish between steady state and transient stability of power system network.

b) With the help of a neat block diagram, explain different operating states of a typical power system network.

c) Write the assumptions made in modeling the synchronous machine in stability analysis of power system network. [12]

2.a) Obtain Flux linkage and Voltage equations of a synchronous machine model

used in power system dynamic studies. b) Write the advantages of per unit system. c) Draw two equivalent circuits of synchronous machine corresponding to the two

axes d and q. [12] 3.a) Develop the stator equations and rotor equations of a synchronous machine

connected to infinite. b) Obtain the transfer function of IEEE Type-1 excitation system. [12] 4.a) Obtain the small signal modeling of a single machine system.

b) Explain the significance of synchronizing and damping torque analysis of a single machine system. [12]

5.a) Name the major factors that contribute to the instability of power system network. b) Obtain the simplified model of a single machine connected to infinite bus. c) Draw the block diagram of PSS. [12] 6.a) Is swing equation used in the steady-state stability studies of power system

network? Justify your answer. b) Draw the functional block diagram of excitation control system of a synchronous

generator and explain each block. [12] 7.a) Write the importance of Washout circuit used in control circuit of synchronous

generator. b) Derive the Swing Equation of a synchronous machine connected to infinite bus. [12] 8. Write short notes on: a) Parks transformation b) Application of Routh-Hurwitz criteria to a single machine system. c) Static exciter. [12]

* * * * * *

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NR/R09

Code No: A4901/C4901, C6401 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

M.Tech I - Semester Examinations, October/November-2011 POWER SYSTEM DYNAMICS

(COMMON TO ELECTRICAL POWER ENGINEERING, POWER ENGINEERING AND ENERGY SYSTEMS)

Time: 3hours Max. Marks: 60 Answer any five questions

All questions carry equal marks - - -

1.a) Distinguish between steady state and transient stability of power system network.

b) With the help of a neat block diagram, explain different operating states of a typical power system network.

c) Write the assumptions made in modeling the synchronous machine in stability analysis of power system network. [12]

2.a) Obtain Flux linkage and Voltage equations of a synchronous machine model

used in power system dynamic studies. b) Write the advantages of per unit system. c) Draw two equivalent circuits of synchronous machine corresponding to the two

axes d and q. [12] 3.a) Develop the stator equations and rotor equations of a synchronous machine

connected to infinite. b) Obtain the transfer function of IEEE Type-1 excitation system. [12] 4.a) Obtain the small signal modeling of a single machine system.

b) Explain the significance of synchronizing and damping torque analysis of a single machine system. [12]

5.a) Name the major factors that contribute to the instability of power system network. b) Obtain the simplified model of a single machine connected to infinite bus. c) Draw the block diagram of PSS. [12] 6.a) Is swing equation used in the steady-state stability studies of power system

network? Justify your answer. b) Draw the functional block diagram of excitation control system of a synchronous

generator and explain each block. [12] 7.a) Write the importance of Washout circuit used in control circuit of synchronous

generator. b) Derive the Swing Equation of a synchronous machine connected to infinite bus. [12] 8. Write short notes on: a) Parks transformation b) Application of Routh-Hurwitz criteria to a single machine system. c) Static exciter. [12]

* * * * * *

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Code No: A4901 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

NR M.TECH I SEMESTER EXAMINATIONS, APRIL/MAY 2012

POWER SYSTEM DYNAMICS (ELECTRICAL POWER ENGINEERING)

Time: 3hours Max.Marks:60 Answer any five questions

All questions carry equal marks - - -

1.a) A 60 Hz, 6 pole generator with H= 4.0 p.u supplying 1 p.u. electrical power at an

internal voltage of 1.2 p.u and is connected to an infinite bus having voltage of 1.0 p.u throuth a line of 0.3 p.u reactance. Find the power angle. A three phase short circuit occurs on the line. Use point by point method. The swing curve data of and t up to three intervals with step size of 0.05 sec.

b) State the assumptions used in applying the equal area criteria to a single machine connected to infinite bus.

2. a) Obtain the direct axis equivalent circuit of the synchronous machine. b) Discuss the following: i) Remarks of flux linkage transformation. ii) Calculation of transient and sub-transient quantities from equivalent

circuit parameters. 3. a) Draw the block diagram and the saturation characteristics of the following

exciters. i) Type DC1 DC commutator exciter ii) Type AC 1 exciter

b) A generator is connected to an infinite bus through an external impedance of jxe. If Eb = Vto = 1.0 p.u. Find the initial conditions. Assume xe = 0.28 p.u. Consider the generator data: xd = 1.8, xq = 1.72, x d = 0.18, x q= 0.25,Ra = 10.0, T "d = 0.52 sec, T"q = 0.1 sec, H = 6 Sec and fB = 50 Hz.

4. a) From the fundamentals obtain the expressions for k1, k2, and k3. b) Explain about synchronizing and damping torque analysis application case 2.

5. Discuss the following:

i) Analyzing of single machine infinite bus system with and without PSS. ii) Basic concepts in applying PSS

6. a) Explain in detail about the point by point method of solution for transient

stability.

b) Show that is power invariant. p C 7. Explain in detail with the equations, how the single machine system is analyzed. 8. Explain the following

i) Calculation of Initial conditions. ii) Simplified representation of Excitation control.

*****

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Code No: B0701 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

M.Tech II Semester Supplementary Examinations March 2010 POWER SYSTEM CONTROL AND STABILITY

(ELECTRICAL POWER SYSTEMS) Time: 3hours Max.Marks:60

Answer any five questions All questions carry equal marks

- - - 1. Derive necessary equations for transient stability study of simple power system by representing synchronous machine with simple mathematical model. 2. Explain small oscillations of unregulated synchronous machine by deriving necessary equations. 3. Obtain the state space model of one machine connected to infinite bus and discuss the dynamic stability of the system. 4. Draw the block diagram of linear system model of simple power system and explain the need of stabilizing signal. 5. What is the role of the excitation system from stability point of view and obtain state space model of the system. 6. Draw the block diagram of type 2 excitation system & obtain the relevant mathematical model. 7. Using Liaponov method, explain the concept of stability of single machine infinite bus system. 8. Explain the terms: i) Voltage stability and ii) Voltage collapse, also discuss one method to assess voltage stability of the system.

******

NR

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Code No: B0701/ D0701

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD M.Tech II -Semester Regular Examinations September, 2010

POWER SYSTEM CONTROL AND STABILITY (ELECTRICAL POWER SYSTEMS)

Time: 3hours Max.Marks:60 Answer any five questions

All questions carry equal marks - - -

1. Using the classical model of one machine connected to an infinite bus obtain its equivalent circuit with necessary explanation. [12] 2. Derive the state space model of one machine system connected to an infinite bus for dynamic stability studies? What is the effect of excitation on dynamic stability? [12] 3. Construct a simplified linear model of excitation system. Derive the state space equations for the same. [12] 4. Determine the swing equation of a single generator connected to a double circuit line through the transformer and there from analyse the steady state stability. Give the comments. [12] 5. With the help of neat block diagram, analyse the effect of voltage and speed control of a synchronous machine with voltage regulation with one time lag. [12] 6. a) Write the methods to control the voltage instability. b) List out various ways to analyse the voltage instability and collapse. [12] 7. A synchronous generator represented by a voltage source of 1.0 pu in series with a transient reactance of j 0.15 pu and inertia constant of 2.5 MJ / MVA is connected to an infinite bus through a line of reactance of j 0.3 pu. The infinite bus is represented by a voltage source of 1.0 pu in series with a reactance of j 0.2 pu. The generator is supplying an active power of 1.0 pu when a 3 phase fault occurs at its terminals. If the fault is cleared in 100 milli seconds, determine system stability by plotting swing curve. Take t = 0.05 secs. [12] 8. a) Explain point by point method of solving swing equation. b) Explain methods of improving transient stability. [12]

*****

NR/R09

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Code No: A4901, A6401 / D109114901, D109116401

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD M.Tech I - Semester Supplementary Examinations September, 2010

POWER SYSTEM DYNAMICS (COMMON TO ELECTRICAL POWER ENGINEERING, POWER ENGINEERING &

ENERGY SYSTEMS) Time: 3hours Max. Marks: 60

Answer any five questions All questions carry equal marks

- - -

1. (a) What is meant by classical model of synchronous machine and mention the assumptions made to derive the model.

(b) Explain the simplified representation of excitation control.

2. (a) Explain the procedure of transformation of flux linkages equations using Parks transformation matrix. (b) What is meant by power invariance? Determine the power invariant matrix. 3. Obtain d-axis and q-axis equivalent circuit of a synchronous machine. 4. (a) With the help of functional block diagram explain each block of excitation control system. (b) With the state equations of the exciter system explain the transfer function. 5. (a) A generator is connected to an infinite bus through an external impedance of jxe. If Eb = Vto=1.0p.u, Pt =1.0p.u. Find the initial conditions? Assume xe= 0.25p.u. The generator data: xd =1.8, xq = 1.7, xd1= 0.17, xq1= 0.23, Ra= 0.0, Td1 = 0.4sec, Tq1 = 0.1sec, H = 4sec, fB = 60Hz. (b) Derive the Tqo1, stator equations and rotor equations for the model 1.1 (field circuit with one equivalent damper on q-axis) and draw the equivalent circuit. 6. A synchronous generator is connected to an infinite bus through an external reactance xe = 0.4p.u. Compute the Heffron-Phillips constants K1 to K6 at the operating point (a) Pg = 0.5, Vt = 1.0, Eb = 1.0 (b) Pg =1.0, Vt =1.0, Eb = 1.0 The machine data: xd = 1.6, xq = 1.55, xd1 = 0.32, Tdo1 = 6.0, H = 5, D = 0, fB = 60Hz. 7. What are the contributions of high gain AVR and discuss the role of PSS in improving the dynamic performance of power system? 8. (a) Explain about the washout circuit of the PSS used in industry. (b) Write short notes on dynamic system problems. (c) Derive the flux decay equations of synchronous machine.

----o0o----

NR/R09

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Code: 9D49103

M.Tech I Semester Regular Examinations February 2014 POWER SYSTEM CONTROL AND STABILITY

(Common to EPE, EPS and PS) (For students admitted in 2013 only)

Time: 3 hours Max. Marks: 60 Answer any FIVE questions

All questions carry equal marks

*****

1 Discuss the classical model of a multi machine system. 2 With the help of neat block diagram, analyze the effect of voltage and speed

control of a synchronous machine with voltage regulation with one time lag. 3 (a) Explain the concept of dynamic stability. (b) Explain the dynamic stability by Rouths criterion. 4 Analyze power system stability using Eigen value approach. 5 Discuss about any two excitation systems using block diagram approach. 6 Explain the type-3 excitation system with neat block diagram and obtain its

state model. 7 (a) Describe the variable gradient method of Lyapunov stability. (b) Write short notes on Popov method of determination of stability. 8 (a) Define the following: (i) Voltage stability.

(ii) Voltage instability. (iii) Voltage collapse.

(b) Explain how to control voltage instability.

*****

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Code: 9D49103

M.Tech - I Semester Supplementary Examinations, December 2013

POWER SYSTEM CONTROL AND STABILITY (Common to EPE, EPS & PS)

Time: 3 hours Max Marks: 60 Answer any FIVE questions

All questions carry equal marks *****

*****

1 (a) Derive swing equation. Mention the methods that are used to solve swing equation. (b) Explain the effect of excitation system on transient stability. 2 (a) Discuss about the effect of voltage regulator on the dynamic performance of the

synchronous machine. (b) Prove that an unregulated n-machine system has frequencies of oscillations. 3 Derive the state space model of single machine system connected to infinite bus. 4 (a) Assume a two stage lead compensated stabilizer. Prepare a table showing the phase load

and the compensator parameters as a function of parameter a. (b) Obtain the approximate model of the complete exiter. 5 Draw the complete diagram of non continuous regulator system and explain about the

system. 6 By means of block diagram representation explain about type-3 excitation system. 7 (a) Explain about variable gradient method. (b) Discuss about Popous method. 8 (a) What do you mean by voltage instability? What are the factors affecting voltage collapse? (b) Explain how do you control voltage instability.

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Code: 9D49103

M.Tech - I Semester Regular and Supplementary Examinations, April/May 2012 POWER SYSTEM CONTROL AND STABILITY

(Common to EPE and EPS) Time: 3 hours Max Marks: 60

Answer any FIVE questions All questions carry equal marks

*****

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1 (a) Obtain the classical model of multi machine system. (b) Discuss the effect of excitation system on transient stability. 2 Discuss the voltage regulator with one time lag of a regulated synchronous machine with a neat block diagram. 3 Obtain the state space model of one machine connected to an infinite bus. 4 (a) Briefly explain the approximate model of the complete exciter generator system. (b) With short notes on lead compensation. 5 (a) Explain the effect of excitation on generator power limits. (b) Develop the stats space description of the excitation system. 6 Draw and explain the type 2 system-rotating rectifier system with neat block diagram. 7 (a) Explain Zubovs method and Popovs methods of stability. (b) Discuss the Lyapunov function for single machine connected to infinite bus. 8 What is voltage stability? Briefly explain the analysis of voltage instability and collapse.

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Code: 9D49103

M.Tech - Semester Supplementary Examinations, November 2012 POWER SYSTEM CONTROL & STABILITY

(Common to EPE and EPS) Time: 3 hours Max Marks: 60

Answer any FIVE questions All questions carry equal marks

*****

*****

1 (a) Explain the effects of excitation system on transient stability. (b) Obtain the classical model of one machine connected to an infinite bus. 2 Discuss the modes of oscillation of an unregulated multi machine system. 3 Discuss the examination of dynamic stability of Rouths criterion. 4 (a) What is the need of supplementary stabilizing signals? Explain. (b) Discuss briefly the block diagram of the linear system. 5 Describe the continuously regulated systems with excitation system response. 6 Draw and explain the type-4 system-non-continuous acting system with neat block

diagram. 7 (a) Discuss the Lyapunov function for single machine connected to infinite bus. (b) Describe the variable gradient method of Lyapunov stability. 8 What is voltage stability? Briefly explain the factors affecting the voltage in stability

and collapse.

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Code No: D109114901 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

M.Tech I Semester Regular Examinations March 2010 POWER SYSTEM DYNAMICS

(COMMON TO ELECTRICAL POWER ENGINEERING AND POWER ENGINEERING & ENERGY SYSTEMS)

Time: 3hours Max.Marks:60 Answer any five questions

All questions carry equal marks - - -

1. Discuss in detail about transient stability and steady state stability power system. 2. Write down the flux linkage and voltage equations of a synchronous machine

from its model and there from derive the electromagnetic torque emotion. 3. a) Derive per unit quantities for stator based and rotor based quantities. Write the

comments on it. b) Determine the direct axis and Quadrature axis equivalent circuit parameter in per

unit basis. 4. Discuss about any two excitation systems using block diagram approach. 5. Draw the synchronous machine model with the stator equations and prove that, if

the armature flux linkage components, with respect to a synchronous rotating reference frame, are constants, then the transformer terms pd, pq and terms introduced by the variations in the rotor speed cancel each other.

6. Using small signal analysis obtain stator algebric equations and rotor mechanical

equations in linearised form. 7. a) Explain the routh Hurwitz criterion method of characteristics analysis in the

machine and applications of Routh Hurwitz criterion. b) With the suitable example explain the small signal model state equations. 8. Draw the block diagram of sample power system and explain how basic concepts

are applied using PSS.

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