Rajasthan Technical University, Kota
COURSE - FILE
Name
Branch
Session
Semester
Specialization
:
:
:
:
:
Dr. Dinesh Birla
Electrical Engineering
2013-14, Odd Semester
M. Tech I Semester
Power System
Index: Course–File
Year : I
Subject: POWER SYSTEM ANALYSIS
2013-2014
Rajasthan Technical University, Kota
Sr.
No.
Content/ Item no.
Sem : I
Page
No.
1
Students Detail
2
4
Course Schedule
Course-File General Format
Time-Table
Syllabus
Course Plan
More on Course Schedule
Method of Evaluation
Guidelines to Study the Subject
Course Objectives
Course Outcome
Objectives – Outcome Relationship Matrix
Assignment-1
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
3
3
4-6
7-11
12
29
Student Details
Year : I
Subject: POWER SYSTEM ANALYSIS
2013-2014
Rajasthan Technical University, Kota
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
Sem : I
Course Schedule
Year : I
Subject: POWER SYSTEM ANALYSIS
Rajasthan Technical University, Kota
1.
Name of the Faculty
: Dr. Dinesh Birla
2.
Designation
: Professor
3.
Department
: Electrical Engineering
Sem : I
2013-2014
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.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Time Table and Syllabus.
Course Schedule including Course Plan.
Experiments List and Lab manual also, if required.
List of Assignments / Tutorials/ Seminar Topics given to students.
Tutorial Sheet (If required, as per the syllabus).
Lecture Plan.
Model Question Paper of the subject distributed to students included (Question Bank of important
Questions).
Mid –Term Question Paper (I & II) and answer-books.
Question of previous years available by University.
Marks details of the Students in respect of MTE I (Mid Term Exam) and MTE II.
Course File
Year : I
Subject: POWER SYSTEM ANALYSIS
2013-2014
Rajasthan Technical University, Kota
1.
Name of the Faculty
: Dr. Dinesh Birla
2.
Designation
: Professor
3.
Department
: Electrical Engineering
Sem : I
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, NewtonRaphson 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.
2.
Unit
No.
1
2
3
4
5
COURSE PLAN
Name of
Unit
Fault
Analysis
Topics to cover
Introduction, Electrical Power System
Per Unit Quantities, Basic Terms, Single line diagram for a balanced 3-phase
system
Admittance Model and calculations
Mutually coupled branches in Ybus
Bus Admittance Matrix formation and numerical.
Formation of Ybus using Singular transformation method and numericals
Formation of Zbus using Singular transformation method and numerical
Admittance Bus admittance and impedance matrices. Thevenin’s theorem and Z bus.
and
Direct determination of Z bus. Modification of an existing bus.
Impedance Transient on a Transmission line, short circuit of a synchronous machine on no
Model and load, short circuit of a loaded synchronous machine.
Network
EquIalent circuits of synchronous machine under sub transient, transient and
Calculation steady state conditions.
s:
Selection of circuit breakers, Algorithm for short circuit studies. Analysis of
three-phase faults
Load Flow Fortescure theorem, symmetrical component transformation.
Studies
Phase shift in star-delta transformers.
Sequence Impedances of transmission lines, Synchronous Machine and
Transformers, zero sequence network of transformers and transmission lines.
Construction of sequence networks of power system. Analysis of single line to
ground faults using symmetrical components
Analysis of line to line fault using symmetrical components. Analysis of double
line to ground faults
using symmetrical components
Analysis of unsymmetrical shunt faults using bus impedance matrix method
Connection of sequence networks under fault conditions
Calculation Load flow problem, Development of load flow equations
of reactive Bus classification. Gauss Seidel
power
Newton Raphosn
Decoupled and fast decoupled methods for load flow analysis. Comparison of
load flow methods
Calculation of reactive power at voltage controlled buses in the gauss siedel
interactive method under load
Representation of transformers Fixed tap setting transformer,tap changing under
load condition
Phase shifting transformers
Concepts of security states
Power
System
Security analysis in power system
Security
State estimation in power system
and State
Estimation
Lecture
No.
1
2
3, 4
5
6
7, 8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24,25
26,27
28,29
30
31
32
33
Course File
Year : I
Subject: POWER SYSTEM ANALYSIS
Rajasthan Technical University, Kota
3
2013-2014
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
Sem : I
More on Course Schedule
Year : I
Subject: POWER SYSTEM ANALYSIS
Rajasthan Technical University, Kota
1.
Name of the Faculty
: Dr. Dinesh Birla
2.
Designation
: Professor
3.
Department
: Electrical Engineering
2013-2014
Sem : I
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.
More on Course Schedule
Year : I
Subject: POWER SYSTEM ANALYSIS
Rajasthan Technical University, Kota
1.
Name of the Faculty
: Dr. Dinesh Birla
2.
Designation
: Professor
3.
Department
: Electrical Engineering
2013-2014
Sem : I
On completion of this Subject / Course the students shall be able to understand the
following:
S. No.
Objectives
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
Provides knowledge of impedance models and sysmetrical fault analysis by describing bus
admittance matrix and impedance matrix
Provides practical knowledge of connection of sequence networks under fault conditions.
Outcomes
a,k
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
I
II
III
a,b,c,d,e,k
a,c,d
More on Course Schedule
Year : I
Subject: POWER SYSTEM ANALYSIS
2013-2014
Rajasthan Technical University, Kota
1.
Name of the Faculty
: Dr. Dinesh Birla
2.
Designation
: Professor
3.
Department
: Electrical Engineering
Sem : I
The expected outcomes of the Course / Subject are:
S.No.
General Categories of Outcomes
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.
b
Ability to formulate and analyse complex
electrical engineering problems.
c
Ability to solve engineering problems and arrive at
feasible, optimal solutions after considering public
health and safety.
d
Ability
to
apply
appropriate
research
methodologies,
techniques
and
tools,
design,conduct experiments, analyse and interpret
data.
e
Ability to apply appropriate techniques, resources,
and modern engineering
f
Ability to collaborative-multidisciplinary scientific
research,demonstrate a capacity for selfmanagement and teamwork.
g
Ability to manage projects efficiently after
consideration of economic and financial factors.
h
Ability to make effective presentations and design
documentation by adhering to appropriate
standards.
i
Ability to engage in life-long learning
independently to improve knowledge and
competence
j
Ability to contribute to the community for
sustainable development of society
k
Ability to learn from mistakes without depending
on externalfeedback
Specific Outcomes of the Course
Post Graduate will demonstrate knowledge of power
system design and analysis
Post Graduate will demonstrate an ability to identify,
formulate and study different faults.
Post Graduate will demonstrate an ability to design
power system for proper load distribution.
Post Graduate will demonstrate an ability to visualize
and work in laboratory and other tasks
Post Graduate will demonstrate skills to use modern
devices fabrication techniques and equipments.
Post Graduate will demonstrate knowledge of
eventual yield in power system design
Post Graduate will show the understanding of need
of power systems in daily lIes.
Post Graduate will develop self confidence in
knowledge of Power system designing and analysis.
Post Graduate can participate and succeed in
competitIe examinations related to power system
analysis.
Post Graduate can design different Power system
devices etc.
Post Graduate will show the understanding of new
technology in power system designing.
More on Course Schedule
Year : I
Subject: POWER SYSTEM ANALYSIS
Sem : I
2013-2014
Rajasthan Technical University, Kota
Objectives – Outcome Relationship Matrix (Indicate the relationship by x mark).
Program Outcomes
a
Course Objectives
I
b
c
d
e
f
g
h
i
j
X
II
X
III
X
IV
X
V
X
k
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
Assignment Sheet - I
Year : I
Subject: POWER SYSTEM ANALYSIS
Sem : I
2013-2014
Rajasthan Technical University, Kota
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 V f = 120 KV.
20 MVA,
12.5 KV
30 MVA,
13.8 KV
∆
∆
10 MVA,
12.5 KV
Assignment Sheet - II
Year : I
Subject: POWER SYSTEM ANALYSIS
Sem : I
2013-2014
Rajasthan Technical University, Kota
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.
Assignment Sheet - III
Year : I
Subject: POWER SYSTEM ANALYSIS
Sem : I
2013-2014
Rajasthan Technical University, Kota
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%.
G1, 10%
j 0.05
1
2
j 0.15
j 0.1
j 0.4
j 0.2
j 0.15
3
Fault
j 0.1
4
j 0.05
G2, 10%
Assignment Sheet - IV
Year : I
Subject: POWER SYSTEM ANALYSIS
Sem : I
2013-2014
Rajasthan Technical University, Kota
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.
Assignment Sheet - V
Year : I
Subject: POWER SYSTEM ANALYSIS
Sem : I
2013-2014
Rajasthan Technical University, Kota
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.
Tutorial Sheet – I
Year : I
Subject: POWER SYSTEM ANALYSIS
2013-2014
Rajasthan Technical University, Kota
1.
Name of the Faculty
: Dr. Dinesh Birla
2.
Designation
: Professor
3.
Department
: Electrical Engineering
Sem : I
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 3phase 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.
Tutorial Sheet – II
Year : I
Subject: POWER SYSTEM ANALYSIS
2013-2014
Rajasthan Technical University, Kota
1.
Name of the Faculty
: Dr. Dinesh Birla
2.
Designation
: Professor
3.
Department
: Electrical Engineering
Sem : I
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
Tutorial Sheet – III
Year : I
Subject: POWER SYSTEM ANALYSIS
2013-2014
Rajasthan Technical University, Kota
1.
Name of the Faculty
: Dr. Dinesh Birla
2.
Designation
: Professor
3.
Department
: Electrical Engineeing
Sem : I
Tutorial-III
1.
2.
3.
4.
5.
6.
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.
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.
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.
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.
Determine the sequence components if are Ia = 10<60o A, Ib = 10<-60o A, Ic = 10<180o A.
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.
Tutorial Sheet – IV
Year : I
Subject: POWER SYSTEM ANALYSIS
Rajasthan Technical University, Kota
1.
Name of the Faculty
: Dr. Dinesh Birla
2.
Designation
: Professor
3.
Department
: Electrical Engineering
2013-2014
Sem : I
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-toground 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.
Tutorial Sheet – V
Year : I
Subject: POWER SYSTEM ANALYSIS
2013-2014
Rajasthan Technical University, Kota
1.
Name of the Faculty
: Dr. Dinesh Birla
2.
Designation
: Professor
3.
Department
: Electrical Engineering
Sem : I
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.
Lecture Plan
Year : I
Rajasthan Technical University, Kota
Subject: POWER SYSTEM ANALYSIS
Subject Code: 1MPS1
Duration of Lesson: 55 min
2013-2014
Sem : I
Lesson – 1; Title: Introduction of Electrical Power System
S.NO.
1
2
3
4
Topic:
Introduction
Electrical Power System
Per Unit Quantities
Basic Terms
Time Allotted
10
10
15
15
Lesson – 2; Title: Per Unit Quantities
S.NO.
1
2
Topic:
Per Unit Quantities, Basic Terms, Single line diagram for a balanced 3-phase system
Numerical
Time Allotted
35
20
Lesson – 3; Title: Admittance Model
S.NO.
1
Topic:
Admittance Model and calculations
Time Allotted
50
Lesson – 4; Title: Admittance Model and calculations
S.NO.
1
2
Topic:
Admittance Model and calculations
Numericals
Time Allotted
20
30
Lesson – 5; Title: Mutually coupled branches in Ybus
S.NO.
1
2
Topic:
Mutually coupled branches in Ybus
Numericals
Time Allotted
20
30
Lesson – 6; Title: Formation of Ybus
S.NO.
1
2
Topic:
Bus Admittance Matrix formation and numerical.
Numericals
Time Allotted
20
30
Lesson – 7; Title: Bus admittance Matrices for fault analysis
S.NO.
1
Topic:
Formation of Ybus using Singular transformation method and numericals
Time Allotted
50
Lesson – 8; Title: Formation of Ybus using Singular transformation
S.NO.
1
2
Topic:
Formation of Ybus using Singular transformation method
Numericals
Time Allotted
30
20
Lesson – 9; Title: More on “Formation of Ybus” using Singular transformation
S.NO.
1
2
Topic:
Formation of Zbus using Singular transformation method and numerical
Numericals based on above
Lesson – 10;
S.NO.
1
2
Title: Bus admittance and impedance matrices
Topic:
Bus admittance and impedance matrices. Thevenin’s theorem and Z bus.
Numerical
Lesson – 11;
S.NO.
1
2
S.NO.
1
2
2
Time Allotted
30
20
Title: Transient on Transmission lines, Synchronous Machines
Topic:
Transient on a Transmission line, short circuit of a synchronous machine on no load
Short circuit of a loaded synchronous machine.
Lesson – 13;
S.NO.
1
Time Allotted
35
15
Title: Direct determination of Zbus
Topic:
Direct determination of Z bus. Modification of an existing bus.
Numerical
Lesson – 12;
Time Allotted
25
25
Time Allotted
35
15
Title: Equivalent Circuits
Topic:
EquIalent circuits of synchronous machine under sub-transient, transient and steady
state conditions.
Numerical
Time Allotted
40
10
Lesson – 14;
S.NO.
1
2
3
Title: Algorithm for Short Circuit Studies
Topic:
Selection of circuit breakers, Algorithm for short circuit studies.
Analysis of three-phase faults
Numerical
Lesson – 15;
S.NO.
1
2
S.NO.
1
2
2
Topic:
Phase shift in star-delta transformers.
Sequence Impedances of transmission lines, Synchronous Machine and Transformers,
zero sequence network of transformers and transmission lines.
Numericals
2
S.NO.
1
2
S.NO.
1
2
Time Allotted
35
15
Time Allotted
25
25
Title: Connection of Sequence Networks Under Fault Conditions
Topic:
Connection of sequence networks using symmetrical components under fault
conditions
Examples of the fault analysis
Lesson – 20;
15
Title: Analysis of line to line fault
Topic:
Analysis of line to line fault using symmetrical components. Analysis of double line to
ground faults
Numerical
Lesson – 19;
Time Allotted
35
Title: Construction of Sequence Networks
Topic:
Construction of sequence networks of power system. Analysis of single line to ground
faults using symmetrical components
Numerical
Lesson – 18;
S.NO.
1
Time Allotted
35
15
Title: Synchronous Machine and Transformers
Lesson – 17;
S.NO.
1
Title: Symmetrical Component
Topic:
Fortescure theorem, symmetrical component transformation.
Numerical
Lesson – 16;
Time Allotted
20
20
10
Time Allotted
30
20
Title: Connection of Sequence Networks Under Fault Conditions
Topic:
Analysis of unsymmetrical shunt faults using bus impedance matrix method
Numerical
Time Allotted
30
20
Lesson – 21;
S.NO.
1
2
Topic:
Load flow problem, Development of load flow equations
Numerical
Lesson – 22;
S.NO.
1
2.
Topic:
Bus classification. Gauss Seidel
Numericals
Topic:
Newton Raphosn
Numericals
Lesson – 24;
Lesson – 25;
2
Time Allotted
20
30
Title: Calculation of Reactive Power at Voltage Controlled Buses
Topic:
Calculation of reactive power at voltage controlled buses in the gauss siedel
interactive method under load
Lesson – 27;
S.NO.
1
Time Allotted
30
20
Title: Comparison of Load Flow Methods
Topic:
Comparison of load flow methods
Numericals
Lesson – 26;
Time Allotted
30
20
Title: Fast Decoupled Method
Topic:
Decoupled and fast decoupled methods for load flow analysis.
Numerical
S.NO.
1
2
Time Allotted
30
20
Title: Newton Raphson Load Flow Method
S.NO.
1
2
S.NO.
1
2
Time Allotted
35
15
Title: Gauss Seidel Load Flow Method
Lesson – 23;
S.NO.
1
Title: Load flow problem
Time Allotted
50
Title: Calculation of Reactive Power
Topic:
Calculation of reactive power at voltage controlled buses in the gauss siedel
interactive method under load
Numerical
Time Allotted
30
20
Lesson – 28;
S.NO.
1
2
Topic:
Representation of transformers Fixed tap setting transformer, tap changing under load
condition
Numericals based on it
Lesson – 29;
S.NO.
1
2
Title: Representation of Transformers, Fixed Tap Setting
Topic:
Representation of transformers Fixed tap setting transformer, tap changing under load
condition
Numerical
S.NO.
1
2
S.NO.
1
20
Time Allotted
40
10
Title: Concepts of Security States
Topic:
Concepts of Security States
Lesson – 32;
Time Allotted
30
Title: Phase Shifting Transformers
Topic:
Phase Shifting Transformers
Numerical
Lesson – 31;
Time Allotted
50
Title: Security Analysis in Power System
Topic:
Security Analysis in Power System
Lesson – 33;
S.NO.
1
35
15
Title: Representation of Transformers Fixed Tap Setting
Lesson – 30;
S.NO.
1
Time Allotted
Time Allotted
50
Title: State Estimation in Power System
Topic:
State Estimation in Power System
\
Time Allotted
50
I Mid Term Question Paper
Year : I
Subject: POWER SYSTEM ANALYSIS
Sem : I
2013-2014
Rajasthan Technical University, Kota
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 Z f = 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
L12
100
100
20/220kv
220kv
0.10
0.125
0.10
0.125
0.10
0.30
L13
100
220kv
0.15
0.15
0.35
L23
100
220kv
0.15
0.15
0.7125
II Mid Term Question Paper
Year : I
Subject: POWER SYSTEM ANALYSIS
Sem : I
Rajasthan Technical University, Kota
2013-2014
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, V 3 =2.04pu
Y Bus =
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.
Performance of Students in Mid Term Exams
Year : I
Rajasthan Technical University, Kota
S. No.
Subject: POWER SYSTEM ANALYSIS
Subject Code: 1MPS1
Maximum Marks: 25
2013-2014
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
Sem : I
Average Marks obtained
in MT I & MT II