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Rajasthan Technical University, Kota COURSE - FILE Name : Dr. Dinesh Birla Branch : Electrical Engineering Session : 2013-14, Odd Semester Semester : M. Tech I Semester Specialization : Power System

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Page 1: Rajasthan Technical University, · PDF fileRajasthan Technical University, Kota COURSE - FILE Name : Dr ... Mutually coupled branches in Ybus 5 Bus Admittance Matrix formation and

Rajasthan Technical University, Kota

COURSE - FILE

Name : Dr. Dinesh Birla Branch : Electrical Engineering Session : 2013-14, Odd Semester Semester : M. Tech I Semester

Specialization : Power System

Page 2: Rajasthan Technical University, · PDF fileRajasthan Technical University, Kota COURSE - FILE Name : Dr ... Mutually coupled branches in Ybus 5 Bus Admittance Matrix formation and

Rajasthan Technical University, Kota

Index: Course–File

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

Sr. No.

Content/ Item no. Page No.

1 Students Detail 3

2 Course Schedule Course-File General Format Time-Table Syllabus Course Plan

4-6

3 More on Course Schedule Method of Evaluation Guidelines to Study the Subject Course Objectives Course Outcome Objectives – Outcome Relationship Matrix

7-11

4 Assignment-1 12

5 Assignment-2 13

6 Assignment-3 14

7 Assignment-4 15

8 Assignment-5 16

10 Tutorial-1 17

11 Tutorial-2 18

12 Tutorial-3 19

13 Tutorial-4 20

14 Tutorial-5 21

15 Lecture Plan 22-26

17 Mid–Term Question Paper (I & II) 27-28

18 Performance of Students in Mid Terms 29

Page 3: Rajasthan Technical University, · PDF fileRajasthan Technical University, Kota COURSE - FILE Name : Dr ... Mutually coupled branches in Ybus 5 Bus Admittance Matrix formation and

Rajasthan Technical University, Kota

Student Details

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

S. No. Roll No. Student Name

1 13EUCPS600 AKHILESH KUMAR 2 13EUCPS601 AMIT SINGHAL 3 13EUCPS602 AMRITA JAIN 4 13EUCPS603 ASHU VERMA 5 13EUCPS604 BHASKAR SHARMA 6 13EUCPS605 BHEEMRAJ SUMAN 7 13EUCPS606 FAIZAL KHAN 8 13EUCPS607 HARSHITA BAJPAI 9 13EUCPS608 HEM MANOHAR 10 13EUCPS609 KRIPAL SINGH 11 13EUCPS610 NEHA KUMARI 12 13EUCPS611 POOJA NAGAR 13 13EUCPS612 POOJA SHARMA 14 13EUCPS613 RAJARAM CHANDRA MEENA 15 13EUCPS614 RANJEET KUMAR 16 13EUCPS615 KM SHIVANGI CHAUHAN 17 13EUCPS616 SHOBHIT JAIN 18 13EUCPS617 VIVEK NATH

Page 4: Rajasthan Technical University, · PDF fileRajasthan Technical University, Kota COURSE - FILE Name : Dr ... Mutually coupled branches in Ybus 5 Bus Admittance Matrix formation and

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

Course Details

Name of the Programme : M. Tech. Batch : Electrical

Branch : Electrical Semester : I

Title of the Subject : Power System Analysis

Subject Code : 1MPS1 No. of Students: 18

General: About Course File Format 1. Time Table and Syllabus. 2. Course Schedule including Course Plan. 3. Experiments List and Lab manual also, if required. 4. List of Assignments / Tutorials/ Seminar Topics given to students. 5. Tutorial Sheet (If required, as per the syllabus). 6. Lecture Plan. 7. Model Question Paper of the subject distributed to students included (Question Bank of important

Questions). 8. Mid –Term Question Paper (I & II) and answer-books. 9. Question of previous years available by University. 10. Marks details of the Students in respect of MTE I (Mid Term Exam) and MTE II.

Rajasthan Technical University, Kota

Course Schedule

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

Page 5: Rajasthan Technical University, · PDF fileRajasthan Technical University, Kota COURSE - FILE Name : Dr ... Mutually coupled branches in Ybus 5 Bus Admittance Matrix formation and

Rajasthan Technical University, Kota

Course File

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

SYLLABUS COPY

M. TECH. I-SEMESTER 1MPS1 - POWER SYSTEM ANALYSIS

Fault Analysis: Positive, Negative and Zero sequence equivalent circuits of lines, two and three winding transformers and synchronous machines. Analysis of shunt and series faults, effect of neutral grounding. Admittance and Impedance Model and Network Calculations: Calculation of Z-bus, Y-bus. Algorithm for the formation of bus admittances and impedance matrices, Fault calculation using Z-bus. Load Flow Studies: Formulation of load flow problem. Various types of buses. Gauss-Siedel, Newton-Raphson and Fast Decoupled Algorithms. Calculation of reactive power at voltage controlled buses in the Gauss-Siedel interactive method using Y-bus. Representation of transformers-Fixed tap setting transformer, Tap changing under load transformers, Phase shifting transformers, Comparison of methods for load flow. Power System Security and State Estimation: Concepts of security states and security analysis in power system, State estimation in power system.

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2. COURSE PLAN Unit No.

Name of Unit

Topics to cover Lecture No.

1 Fault Analysis

Introduction, Electrical Power System 1 Per Unit Quantities, Basic Terms, Single line diagram for a balanced 3-phase system

2

Admittance Model and calculations 3, 4 Mutually coupled branches in Ybus 5 Bus Admittance Matrix formation and numerical. 6 Formation of Ybus using Singular transformation method and numericals 7, 8 Formation of Zbus using Singular transformation method and numerical 9

2 Admittance and

Impedance Model and Network

Calculations:

Bus admittance and impedance matrices. Thevenin’s theorem and Z bus. 10 Direct determination of Z bus. Modification of an existing bus. 11 Transient on a Transmission line, short circuit of a synchronous machine on no load, short circuit of a loaded synchronous machine.

12

EquIalent circuits of synchronous machine under sub transient, transient and steady state conditions.

13

Selection of circuit breakers, Algorithm for short circuit studies. Analysis of three-phase faults

14

3 Load Flow Studies

Fortescure theorem, symmetrical component transformation. 15 Phase shift in star-delta transformers. Sequence Impedances of transmission lines, Synchronous Machine and Transformers, zero sequence network of transformers and transmission lines.

16

Construction of sequence networks of power system. Analysis of single line to ground faults using symmetrical components

17

Analysis of line to line fault using symmetrical components. Analysis of double line to ground faults using symmetrical components

18

Analysis of unsymmetrical shunt faults using bus impedance matrix method 19 Connection of sequence networks under fault conditions 20

4 Calculation of reactive

power

Load flow problem, Development of load flow equations 21 Bus classification. Gauss Seidel 22 Newton Raphosn 23 Decoupled and fast decoupled methods for load flow analysis. Comparison of load flow methods

24,25

Calculation of reactive power at voltage controlled buses in the gauss siedel interactive method under load

26,27

Representation of transformers Fixed tap setting transformer,tap changing under load condition

28,29

Phase shifting transformers 30 5 Power

System Security and State

Estimation

Concepts of security states 31 Security analysis in power system 32 State estimation in power system 33

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Rajasthan Technical University, Kota

Course File

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

3 METHOD OF EVALUATION

3.1 Mid Term Examinations (MTE I & II) 3.2 Assignment / Tutorials

3.3 Viva wherever applicable

3.4 Term End Examination

Foundation Topics: Introduction to per unit quantities Introduction to Symmetrical component and fault analysis methods

Advanced Topics: Admittance model and Admittance matrix Impedance model and Impedance matrix

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Rajasthan Technical University, Kota

More on Course Schedule

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

Guidelines to Study the Subject

1. Preparation: - Basic fundamental of knowledge of simple power flow and faults for their study and analysis.

2. Core Competence: - To provide students the knowledge of power system design and analysis and to determine the operational performance of existing systems.

3. Breadth: -To prepare for a better future in the field of designing new electrical systems.

Learning Environment: - To provide student a friendly and professional environment.

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Rajasthan Technical University, Kota

More on Course Schedule

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

On completion of this Subject / Course the students shall be able to understand the following: S. No. Objectives Outcomes I Provides the knowledge of per unit system and admittance model by describing per unit

quantities , single line diagram for a balanced three phase system, branch and node admittance, equIalent admittance networks and calculation of Ybus

a,k

II Provides knowledge of impedance models and sysmetrical fault analysis by describing bus admittance matrix and impedance matrix

a,b,c,d,e,k

III Provides practical knowledge of connection of sequence networks under fault conditions. a,c,d

IV Provides knowledge of unsymmetrical fault and connection of sequence under fault conditions.

a,e,i

V Provides techniques for load flow analysis like Gauss Siedal, Newton Ralphson, etc a,f,g,h,I,j

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Rajasthan Technical University, Kota

More on Course Schedule

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

The expected outcomes of the Course / Subject are: S.No. General Categories of Outcomes Specific Outcomes of the Course

a Ability to acquire knowledge of specific discipline or professional area with an ability to discriminate, evaluate, analyze and synthesize existing and new knowledge, and integration of the same for enhancement of knowledge.

Post Graduate will demonstrate knowledge of power system design and analysis

b

Ability to formulate and analyse complex electrical engineering problems.

Post Graduate will demonstrate an ability to identify, formulate and study different faults.

c

Ability to solve engineering problems and arrive at feasible, optimal solutions after considering public health and safety.

Post Graduate will demonstrate an ability to design power system for proper load distribution.

d

Ability to apply appropriate research methodologies, techniques and tools, design,conduct experiments, analyse and interpret data.

Post Graduate will demonstrate an ability to visualize and work in laboratory and other tasks

e

Ability to apply appropriate techniques, resources, and modern engineering

Post Graduate will demonstrate skills to use modern devices fabrication techniques and equipments.

f

Ability to collaborative-multidisciplinary scientific research,demonstrate a capacity for self-management and teamwork.

Post Graduate will demonstrate knowledge of eventual yield in power system design

g Ability to manage projects efficiently after consideration of economic and financial factors.

Post Graduate will show the understanding of need of power systems in daily lIes.

h

Ability to make effective presentations and design documentation by adhering to appropriate standards.

Post Graduate will develop self confidence in knowledge of Power system designing and analysis.

i

Ability to engage in life-long learning independently to improve knowledge and competence

Post Graduate can participate and succeed in competitIe examinations related to power system analysis.

j

Ability to contribute to the community for sustainable development of society

Post Graduate can design different Power system devices etc.

k

Ability to learn from mistakes without depending on externalfeedback

Post Graduate will show the understanding of new technology in power system designing.

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Rajasthan Technical University, Kota

More on Course Schedule

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

Objectives – Outcome Relationship Matrix (Indicate the relationship by x mark). Program Outcomes

Course Objectives

a

b

c

d

e

f

g

h

i

j

k

I X X

II X X X X X X

III X X X

IV X X X

V X X X X X X

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Rajasthan Technical University, Kota

Assignment Sheet - I

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

Assignment- I

1. A 30 MVA, 13.8 KV, 3-phase alternator has a subtransient positive reactance of 15 % and negative and

zero sequence reactances of 15% and 5% respectively. The alternator supplies two motors over a transmission line having transformers at both ends shown in figure (one line diagram). The motor have rated inputs of 20 MVA and 10 MVA both at 12.5 KV with 20% subtransient reactance and negative and zero sequence reactances are 20% and 5% respectively. Current limiting reactors of 2 Ohms each are in the center of the alternator and large motor. The 3 phase transformer are both rated 35 MVA, 13.2 ∆ - 115 Y KV with leakage reactances of 10%, series reactances of the line is 80 Ohms. The zero sequence reactance of the line is 200 Ohms. Determine the fault current when (i) L-G fault takes place at point ‘P’. (ii) L-L fault takes place at point ‘P’. (iii) L-L-G fault takes place at point ‘P’. Assume Vf = 120 KV.

∆ ∆

30 MVA, 13.8 KV

20 MVA, 12.5 KV

10 MVA, 12.5 KV

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Rajasthan Technical University, Kota

Assignment Sheet - II

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

Assignment-II

1. Derive the necessary conditions of the equation for L-L-G fault in transmission system.

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Rajasthan Technical University, Kota

Assignment Sheet - III

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

Assignment- III

. 1. Formulate Y-Bus for the network shown in figure. The values shown are impedances. Transformer leakage

reactances is 0.05 or 5%.

j 0.15

j 0.2 j 0.4 j 0.1

1

4 3

2 j 0.15

j 0.1

Fault

G1, 10%

G2, 10%

j 0.05

j 0.05

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Rajasthan Technical University, Kota

Assignment Sheet - IV

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

Assignment- IV

1. A 25 MVA, 13.2 KV alternator with solidly grounded neutral has a sub-transient reactance of 0.25 pu and negative and zero sequence reactance of 0.35 pu and 0.10 pu respectively. A L-G fault occours at terminal of the unloaded generator, determine fault current and line to line voltages.

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Rajasthan Technical University, Kota

Assignment Sheet - V

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

Assignment- V

Q.1 Explain the analysis of single line to ground faults using symmetrical components. Q.2 Describe the sub-transient and transient reactance calculation values for transformer transmission line and synchronous generator. Q.3 Describe any two steps out of four steps of step by step Z- bus building algorithm.

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Rajasthan Technical University, Kota

Tutorial Sheet – I

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

TUTORIAL-1

1. The generator of Problem 1 is feeding 150 MVA at 0.85 pf lagging infinite bus bar at 15 kV. a. Determine Ey and d for the above operation. What are P and Q fed to the bus bars? b. Now E, is reduced by l0o/o keeping mechanical input to generator same, find new dand Q delIered. c. Et is now maintained as in part (a) but mechanical power input to generator is adjusted till Q = 0.

Find new d and P. d. For the value of Ey in part (a) what is the maximum Qthat can be delIered to bus bar.

2. Two generators rated 10 MVA, 13.2 KV and 15 MVA, 13.2 KV are connected in parallel to a bus bar. They

feed supply to 2 motors of inputs 8 MVA and 12 MVA respectIely. The operating voltage of motors is 12.5 KV. Assuming the base quantities as 50 MVA, 13.8 KV, draw the per unit reactance diagram. The percentage reactance for generators is 15% and that for motors is 20%.

3. A 30 MVA, 13.8 KV, 3-phase generator has a sub transient reactance of 15%. The generator supplies 2 motors through a step-up transformer - transmission line – step- down transformer arrangement. The motors have rated inputs of 20 MVA and 10 MVA at 12.8 KV with 20% sub transient reactance each. The 3-phase transformers are rated at 35 /115 KV-Y with 10 % leakage reactance. The line reactance is 80∆MVA, 13.2 KV- ohms. Draw the equIalent per unit reactance diagram by selecting the generator ratings as base values in the generator circuit.

4. A 80 MVA, 10 KV, 3-phase generator has a sub transient reactance of 10%. The generator supplies a motor

through a step-up transformer - transmission line – step-down transformer arrangement. The motor has rated input of 95 MVA, 6.3 KV with 15% sub transient reactance. The step-up 3-phase transformer is rated at 90 MVA, 11 KV-Y /110 KV-Y with 10% leakage reactance. The 3-phase step-down transformer consists of three connected transformers, each rated at 33.33 MVA, 68/6.6 KV with 10%∆single phase Y- leakage reactance. The line has a reactance of 20 ohms. By selecting the 11 KV, 100 MVA as base values in the generator circuit, determine the base values in all the other parts of the system. Hence evaluate the corresponding pu values and draw the equIalent per unit reactance diagram.

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Rajasthan Technical University, Kota

Tutorial Sheet – II

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

Tutorial-II 1. A transmission line of inductance 0.1 H and resistance 5 short circuited at t = 0, at the far end of a transmission

line and is supplied by an ac t+150πsource of voltage v = 100 sin (100 ). Write the expression for the short circuit current, i(t). Find the approximate value of the first current maximum for the gIen =900? What should be the instant ofθ=0, and α. What is this value for θ and αvalues of short circuit so that the DC offset current is (i)zero and (ii)maximum?

2. A 25 MVA, 11 KV, 20% generator is connected through a step-up transformer- T1 (25 MVA, 11/66 KV, 10%), transmission line (15% reactance on a base of 25 MVA, 66 KV) and step-down transformer-T2 (25 MVA, 66/6.6 KV, 10%) to a bus that supplies 3 identical motors in parallel (all motors rated: 5 MVA, 6.6 KV, 25%). A circuit breaker-A is used near the primary of the transformer T1 and breaker-B is used near the motor M3. Find the symmetrical currents to be interrupted by circuit breakers A and B for a fault at a point P, near the circuit breaker B.

3. Two synchronous motors are connected to a large system bus through a short line. The ratings of the various components are: Motors(each)= 1 MVA, 440 volts, 0.1 pu reactance; line of 0.05 ohm reactance and the short circuit MVA at the bus of the large system is 8 at 440 volts. Calculate the symmetrical short circuit current fed into a three-phase fault at the motor bus when the motors are operating at 400 volts.

4. The one line diagram for a radial system network consists of two generators, rated 10 MVA, 15% and 10 MVA, 12.5 % respectIely and connected in parallel to a bus bar A at 11 KV. Supply from bus A is fed to bus B (at 33 KV) through a transformer T1 (rated: 10 MVA, 10%) and OH line (30 KM long). A transformer T2 (rated: 5 MVA, 8%) is used in between bus B (at 33 KV) and bus C (at 6.6 KV). The length of cable running from the bus C up to the point of fault, F is 3 KM. Determine the current and line voltage at 11 kV bus A under fault conditions, when a fault occurs at the point F, gIen that Zcable = 0.135 + j 0.08 ohm/ kM and ZOH-line = 0.27 + j 0.36 ohm/kM

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Rajasthan Technical University, Kota

Tutorial Sheet – III

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineeing

Tutorial-III 1. The line b of a 3-ph line feeding a balanced Y-load with neutral grounded is open resulting in line currents: Ia =

10<0o& Ic = 10< 120o A. Determine the sequence current components. 2. One conductor of a 3-ph line feeding a balanced delta-load is open. Assuming that line c is open, if current in

line a is 10<0 A , determine the sequence components of the line currents. 3. Three identical resistors are Y-connected to the LT Y-side of a delta-star transformer. The voltages at the

resistor loads are |Vab| = 0.8 pu., |Vbc|=1.2 pu., and |Vca|=1.0 pu. Assume that the neutral of the load is not connected to the neutral of the transformer secondary. Find the line voltages on the HT side of the transformer.

4. The line currents in a 3-ph 4 –wire system are Ia = 100<30o, Ib = 50<300o, Ic = 30<180o. Find the symmetrical components and the neutral current.

5. Determine the sequence components if are Ia = 10<60o A, Ib = 10<-60o A, Ic = 10<180o A. 6. A 250 MVA, 16 kV rated generatori s feeding into an infinite bus bar at 15 kV. The generator as a synchronous

reactance of 1.62pu.lt is found that the machine excitation and mechanical power input are adiusted to gIe E, = 24 kY and power angle 6 = 30o.

a. Determine the line current and actIe and reactIe powers fed to the bus bars. b. The mechanical power input to the generator is increased by 20Vo from that in part(a) but its excitation

is not changed. Find the newline current and power factor. c. With reference to part (a) current is to be reduced by 20Vo at the same power factor by adjusting

mechanical power input to the generator and its excitation. Determine Ey, 6 and mechanical power input.

d. With the reduced current as in part (c), the power is to be delIered to bus bars at unity pf, what are thre corresponding values of El and and also the rnechanical ower input to the generator.

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Rajasthan Technical University, Kota

Tutorial Sheet – IV

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

Tutorial-IV

1) A three phase generator with constant terminal voltages gIes the following currents when under fault: 1400 A for a line-to-line fault and 2200 A for a line-to-ground fault. If the positIe sequence generated voltage to neutral is 2 ohms, find the reactances of the negatIe and zero sequence currents

2) A dead fault occurs on one conductor of a 3-conductor cable supplied y a 10 MVA alternator with earhed neutral. The alternator has +ve, -ve and 0-sequence components of impedances per phase respectIely as: (0.5+j4.7), (0.2+j0.6) and (j0.43) ohms. The corresponding LN values for the cable up to the point of fault are: (0.36+j0.25), (0.36+j0.25) and (2.9+j0.95) ohms respectIely. If the generator voltage at no load (Ea1) is 6600 volts between the lines, determine the (i)Fault current, (ii)Sequence components of currents in lines and (iii)Voltages of healthy phases.

3) A generator rated 11 kV, 20 MVA has reactances of X1=15%, X2=10% and X0=20%. Find the reactances in ohms that are required to limit the fault current to 2 p.u. when a a line to ground fault occurs. Repeat the analysis for a LLG fault also for a fault current of 2 pu.

4) A three phase 50 MVA, 11 kV generator is subjected to the various faults and the surrents so obtained in each fault are: 2000 A for a three phase fault; 1800 A for a line-to-line fault and 2200 A for a line-to-ground fault. Find the sequence impedances of the generator.

5) Determine the fault currents in each phase following a double line to ground short circuit at the terminals of a star-connected synchronous generator operating initially on an open circuit voltage or i.o pu. The positIe, negatIe and zero sequence reactance of the generator are respectIely 70.35, j0.25 and j0.20, and its star point is isolated from ground.

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Rajasthan Technical University, Kota

Tutorial Sheet – V

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

1. Name of the Faculty : Dr. Dinesh Birla

2. Designation : Professor

3. Department : Electrical Engineering

Tutorial-V

Q1. Prepare short notes on power system security and state estimation. Q.2 A generator-transformer unit is connected to a line through a circuit breaker. The unit ratings are: Gen.: 10 MVA, 6.6 KV, Xd” = 0.1 pu, Xd’ = 0.2 pu and Xd = 0.8 pu; and Transformer: 10 MVA, 6.9/33 KV, Xl = 0.08 pu; The system is operating on no-load at a line voltage of 30 KV, when a three-phase fault occurs on the line just beyond the circuit breaker. Determine the following: (i) Initial symmetrical RMS current in the breaker, (ii) Maximum possible DC off- set current in the breaker, (iii) Momentary current rating of the breaker, (I) Current to be interrupted by the breaker and the interrupting KVA and (v) Sustained short circuit current in the breaker.

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Rajasthan Technical University, Kota

Lecture Plan

Subject: POWER SYSTEM ANALYSIS Subject Code: 1MPS1

Duration of Lesson: 55 min 2013-2014

Year : I

Sem : I

Lesson – 1; Title: Introduction of Electrical Power System

S.NO. Topic: Time Allotted 1 Introduction 10 2 Electrical Power System 10 3 Per Unit Quantities 15 4 Basic Terms 15

Lesson – 2; Title: Per Unit Quantities

S.NO. Topic: Time Allotted

1 Per Unit Quantities, Basic Terms, Single line diagram for a balanced 3-phase system 35 2 Numerical 20

Lesson – 3; Title: Admittance Model

S.NO. Topic: Time Allotted

1 Admittance Model and calculations 50

Lesson – 4; Title: Admittance Model and calculations

S.NO. Topic: Time Allotted 1 Admittance Model and calculations 20 2 Numericals 30

Lesson – 5; Title: Mutually coupled branches in Ybus

S.NO. Topic: Time Allotted

1 Mutually coupled branches in Ybus 20 2 Numericals 30

Lesson – 6; Title: Formation of Ybus

S.NO. Topic: Time Allotted

1 Bus Admittance Matrix formation and numerical. 20 2 Numericals 30

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Lesson – 7; Title: Bus admittance Matrices for fault analysis

S.NO. Topic: Time Allotted 1 Formation of Ybus using Singular transformation method and numericals 50

Lesson – 8; Title: Formation of Ybus using Singular transformation

S.NO. Topic: Time Allotted 1 Formation of Ybus using Singular transformation method 30 2 Numericals 20

Lesson – 9; Title: More on “Formation of Ybus” using Singular transformation

S.NO. Topic: Time Allotted 1 Formation of Zbus using Singular transformation method and numerical 25 2 Numericals based on above 25

Lesson – 10; Title: Bus admittance and impedance matrices

S.NO. Topic: Time Allotted 1 Bus admittance and impedance matrices. Thevenin’s theorem and Z bus. 35 2 Numerical 15

Lesson – 11; Title: Direct determination of Zbus

S.NO. Topic: Time Allotted

1 Direct determination of Z bus. Modification of an existing bus. 30 2 Numerical 20

Lesson – 12; Title: Transient on Transmission lines, Synchronous Machines

S.NO. Topic: Time Allotted

1 Transient on a Transmission line, short circuit of a synchronous machine on no load 35 2 Short circuit of a loaded synchronous machine. 15

Lesson – 13; Title: Equivalent Circuits

S.NO. Topic: Time Allotted 1

EquIalent circuits of synchronous machine under sub-transient, transient and steady state conditions. 40

2 Numerical 10

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Lesson – 14; Title: Algorithm for Short Circuit Studies

S.NO. Topic: Time Allotted 1 Selection of circuit breakers, Algorithm for short circuit studies. 20 2 Analysis of three-phase faults 20 3 Numerical 10

Lesson – 15; Title: Symmetrical Component

S.NO. Topic: Time Allotted 1 Fortescure theorem, symmetrical component transformation. 35 2 Numerical 15

Lesson – 16; Title: Synchronous Machine and Transformers

S.NO. Topic: Time Allotted

1

Phase shift in star-delta transformers. Sequence Impedances of transmission lines, Synchronous Machine and Transformers,

zero sequence network of transformers and transmission lines.

35

2 Numericals 15

Lesson – 17; Title: Construction of Sequence Networks

S.NO. Topic: Time Allotted 1

Construction of sequence networks of power system. Analysis of single line to ground faults using symmetrical components 35

2 Numerical 15

Lesson – 18; Title: Analysis of line to line fault

S.NO. Topic: Time Allotted 1

Analysis of line to line fault using symmetrical components. Analysis of double line to ground faults

25

2 Numerical 25

Lesson – 19; Title: Connection of Sequence Networks Under Fault Conditions

S.NO. Topic: Time Allotted 1 Connection of sequence networks using symmetrical components under fault

conditions 30

2 Examples of the fault analysis 20

Lesson – 20; Title: Connection of Sequence Networks Under Fault Conditions

S.NO. Topic: Time Allotted 1 Analysis of unsymmetrical shunt faults using bus impedance matrix method 30 2 Numerical 20

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Lesson – 21; Title: Load flow problem

S.NO. Topic: Time Allotted 1 Load flow problem, Development of load flow equations 35 2 Numerical 15

Lesson – 22; Title: Gauss Seidel Load Flow Method

S.NO. Topic: Time Allotted

1 Bus classification. Gauss Seidel 30 2. Numericals 20

Lesson – 23; Title: Newton Raphson Load Flow Method

S.NO. Topic: Time Allotted 1 Newton Raphosn 30 2 Numericals 20

Lesson – 24; Title: Fast Decoupled Method

S.NO. Topic: Time Allotted

1 Decoupled and fast decoupled methods for load flow analysis. 30 2 Numerical 20

Lesson – 25; Title: Comparison of Load Flow Methods

S.NO. Topic: Time Allotted

1 Comparison of load flow methods 20 2 Numericals 30

Lesson – 26; Title: Calculation of Reactive Power at Voltage Controlled Buses

S.NO. Topic: Time Allotted

1

Calculation of reactive power at voltage controlled buses in the gauss siedel interactive method under load 50

Lesson – 27; Title: Calculation of Reactive Power

S.NO. Topic: Time Allotted 1

Calculation of reactive power at voltage controlled buses in the gauss siedel interactive method under load

30

2 Numerical 20

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Lesson – 28; Title: Representation of Transformers, Fixed Tap Setting

S.NO. Topic: Time Allotted

1

Representation of transformers Fixed tap setting transformer, tap changing under load condition 35

2 Numericals based on it 15

Lesson – 29; Title: Representation of Transformers Fixed Tap Setting

S.NO. Topic: Time Allotted 1

Representation of transformers Fixed tap setting transformer, tap changing under load condition

30

2 Numerical 20

Lesson – 30; Title: Phase Shifting Transformers

S.NO. Topic: Time Allotted 1 Phase Shifting Transformers 40 2 Numerical 10

Lesson – 31; Title: Concepts of Security States

S.NO. Topic: Time Allotted 1 Concepts of Security States 50

Lesson – 32; Title: Security Analysis in Power System

S.NO. Topic: Time Allotted

1

Security Analysis in Power System 50

Lesson – 33; Title: State Estimation in Power System

S.NO. Topic: Time Allotted 1 State Estimation in Power System 50

\

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Rajasthan Technical University, Kota

I Mid Term Question Paper

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

Rajasthan Technical University, Kota

M. Tech I Year, I Sem, Branch: Power System

I Mid Term Examination (2013-14)

Subject: Power System Analysis

Date: 04/10/2013

Duration: 1Hr Maximum Marks: 12.5 Instructions to Candidates: Attempt all questions. Q.1 Derive the fault current equation for L-L-G fault for a unloaded generator for solid fault. Q.2 Describe the type-3 step for Z bus. Q.3 In the Fig. for P-V data shown in table1 common base MVA 100. Determine fault current for balanced three phase fault at bus 3 through a fault impedance Zf = j0.1 pu.

Item Base MVA Voltage Rating X1 X2 X0

G1 100 20kv 0.15 0.15 0.05 G2 100 20kv 0.15 0.15 0.05

T1 100 20/220kv 0.10 0.10 0.10 T2 100 20/220kv 0.10 0.10 0.10 L12 100 220kv 0.125 0.125 0.30

L13 100 220kv 0.15 0.15 0.35 L23 100 220kv 0.15 0.15 0.7125

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Rajasthan Technical University, Kota

II Mid Term Question Paper

Subject: POWER SYSTEM ANALYSIS

2013-2014

Year : I

Sem : I

Rajasthan Technical University, Kota

M. Tech I Year, I Sem, Branch: Power System

II Mid Term Examination (2013-14)

Subject: Power System Analysis

Date: 06/12/2013

Duration: 1Hr Maximum Marks: 12.5 Instructions to Candidates: Attempt all questions. Q.1 Evaluate the element of Jacobian matrix for a 3 bus system one slack, one PV, one PQ bus, V3 =2.04pu

YBus =

Q.2 Describe the various step of power system with respect to power system security in terms of recovery of security. Q.3 Give a comparison of various load flow method.

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Rajasthan Technical University, Kota

Performance of Students in Mid Term Exams

Subject: POWER SYSTEM ANALYSIS Subject Code: 1MPS1 Maximum Marks: 25

2013-2014

Year : I

Sem : I

S. No. Roll No. Student Name Average Marks obtained

in MT I & MT II

1 13EUCPS600 AKHILESH KUMAR

2 13EUCPS601 AMIT SINGHAL 3 13EUCPS602 AMRITA JAIN

4 13EUCPS603 ASHU VERMA

5 13EUCPS604 BHASKAR SHARMA 6 13EUCPS605 BHEEMRAJ SUMAN

7 13EUCPS606 FAIZAL KHAN

8 13EUCPS607 HARSHITA BAJPAI

9 13EUCPS608 HEM MANOHAR 10 13EUCPS609 KRIPAL SINGH

11 13EUCPS610 NEHA KUMARI

12 13EUCPS611 POOJA NAGAR 13 13EUCPS612 POOJA SHARMA

14 13EUCPS613 RAJARAM CHANDRA MEENA

15 13EUCPS614 RANJEET KUMAR 16 13EUCPS615 KM SHIVANGI CHAUHAN

17 13EUCPS616 SHOBHIT JAIN

18 13EUCPS617 VIVEK NATH