ELEC4612 Power System Analysis Power Flow Analysis
|
|
- Rosamund Harmon
- 5 years ago
- Views:
Transcription
1 ELEC462 Power Sstem Analsis Power Flow Analsis Dr Jaashri Ravishankar
2 Busbars The meeting point of various components of a PS is called bus. The bus or busbar is a conductor made up of copper or aluminium having negligible resistance. A busbar has zero voltage drop when it conducts the rated current. Thus, the buses are considered as points of constant voltage in a power sstem. 2
3 Node Equations When the PS is represented b impedance diagram, it can be considered as a circuit or network. The buses can be treated as nodes and the voltages of all buses can be solved b conventional nodal analsis. Nodal analsis is based on KCL and hence analsis is easier if impedances are converted to admittances. The admittance between buses and 3
4 Admittance Matrix (Y bus ) Draw the impedance diagram from the OLD. Obtain the admittances of the individual elements and convert the impedance diagram to admittance diagram, b replacing voltage sources with current sources. Appl KCL to all independent nodes (buses). Finall, arrange the node equations in matrix form. [I bus ]=[Y bus ][V bus ] 4
5 5
6 Extending this for a n-bus sstem, Or I bus is the vector of injected bus currents (external sources). The current is positive when flowing towards the bus and negative if flowing awa from the bus. Y bus is the bus admittance matrix. 6
7 Y bus b inspection Can be used onl if there is no mutual coupling between the lines.. Obtain the admittances of the individual elements 2. Diagonal elements (self-admittance or driving point admittance) is the sum of admittances of all elements connect to a node, including admittance between the node and ground (node 0) 3. Off-diagonal elements (mutual or transfer admittance) is equal to the negative of the admittance between the nodes 7
8 Example 5. 8
9 Impact of Shunt Branches Shunt admittances are added to the diagonal elements corresponding to the nodes at which the are connected. The off-diagonal elements are unaffected. Shunt admittances are seen when the transmission line is modelled as a PI- or T- network. 9
10 Sstems with Mutual Coupling Invert the primitive impedance matrices of the network branches to obtain the corresponding primitive admittance matrices. Two mutuall coupled branches have a 2 x 2 matrix, threemutuallcoupledbrancheshavea3x3matrix, and so on. Multipl the elements of each primitive admittance matrix b the 2 X 2 building block matrix. Take care to label from dotted to undotted terminal. Combine b adding together, those elements with identical row and column labels to obtain the Ybus matrix. 0
11 Primitive admittance matrix for three mutuall coupled branches
12 Building Block Matrix 2
13 Example 5.2 Two branches having impedances equal to 0.25 pu are coupled through mutual impedance Z M = 0.5 pu as shown. Find the Y bus matrix for the mutuall coupled branches. Solution 3
14 Example 5.3 Consider that onl the two branches 3 and 2 3 in the circuit of Figure below are mutuall coupled as indicated b the dots beside them and that their mutual impedance is j0.5 per unit. Determine the circuit Y bus. Values in the figure are impedances in pu. j0.5 4
15 5
16 Tap Changing Transformer V V 2 Bus t Bus 2 I t is the ratio of the per-unit voltage on the left-hand-side of the ideal transformer to the per-unit voltage on the right-hand-side of the ideal transformer. is the transformer admittance. This means that the secondar side of the ideal transformer has voltage (/t )V and current of t I. V V 2 V /t Bus t Bus 2 I We can express the current t I using Ohm s Law: V t I V t 2 () t I I 2 I 2 6
17 Dividing through b t and expanding the right-hand-side ields: I V V 2 2 t t (2) Now express the current I 2 : Bus (3) I V I 2 V2 V2 V t t We can re-write eqs. (2) and (3) in matrix form as: I I 2 2 t t t V V 2 The equivalent circuit for Y bus calculation now becomes, (4) V V 2 V /t t t I I 2 Bus 2 I I 2 /t V V 2 7
18 8 Comparing, we have, & Solving the above for result in: t t t Y bus 2 /t 2 I I 2 V V 2 t t 2 t & t t t t 2 t t t /t 2 t t t t I I 2 V V
19 Example 5.4 (a) Obtain the admittance matrix for the network shown. The values given are admittances. (b)recalculate the admittance matrix b considering an off-nominal tap transformer between buses 3 and 4 with t =.02. -j4 3 4 I 2-j3 2 2-j4 j0. I 2 2-j5 j0.2 j0.3 I 3 j0.4 I 4 9
20 Network Solution using Y bus If the voltages are known, the current injections can be solved using, If the currents are known, the voltages can be solved using, This can be solved using Cramer s rule: Voltage of the k th bus, 20
21 Example 5.5 Solve the node voltages and in the network shown. The voltages and impedances are in pu. 2
22 Power Sstem under Stead State Successful power sstem operation under stead-state conditions requires: Generation supplies load demand plus losses. Bus voltage magnitudes are close to rated values. Generators operate within specified real and reactive power limits. Transmission lines and transformers are not overloaded. Power flow analsis is the tool for investigating these requirements. 22
23 Power Flow Analsis (PFA) Stead state analsis of a power sstem Information obtained comprises voltage magnitudes of each bus voltage phase angle of each bus real power flow reactive power flow Power loss in the sstem This information is essential for continuous monitoring of the current state of the sstem and for future sstem expansion. 23
24 Conventional Network Analsis? Conventional circuit analsis is based on node voltage / loop current method. We write simultaneous linear equations (algebraic) o Nodal KCL equations YV = I o Loop KVL equations IZ = V Given values: Voltage / current of sources & impedances In a PS, input data for loads normall are given in terms of power, not impedance. Generators are considered as power sources, not voltage or current sources. 24
25 Vs 25
26 The solution of power flow becomes simple when onl two buses are involved. However, it still needs trail and error method, when voltages and impedances are unknown. The solution is therefore not unique. In normal power sstem there are large number of buses and the solution becomes quite complex, tedious and time consuming. Hence there is no choice but to use iterative solutions. 26
27 Power Flow Equations To find all bus voltages (magnitude & angle) Consider a tpical bus (bus i) i 27
28 PFA Solution Steps. Represent sstem b OLD. 2. Obtain the impedance diagram in per unit. 3. Find admittance matrix. 4. Formulate network equations. 5. Solve iterativel. 6. Following are assumed. The loads are constant and the are defined b their real and reactive power consumption. Generator terminal voltages are tightl regulated and therefore are constant. 28
29 Tpes of Buses Bus Tpe Load bus Generator bus Slack bus Quantities Specified P, Q Remarks Voltage allowed to var 5% P, V Q limits are specified V, Reference bus; one of the generator buses 29
30 Need for Slack bus To account for line losses In a PS, complex S gen =S load +S loss S loss can be estimated onl if P and Q at all buses are known The powers in the buses will be known onl after solving the power flow equations Thus, P and Q of the slack bus are not specified It is assumed that the generator connected to this bus will suppl the line losses 30
31 Iterative Methods. Gauss-Seidel 2. Newton-Raphson 3. Fast Decoupled The objective is to find,, and at all the PS buses. All these methods start with an initial assumption of unknown values for each bus. These are then updated at each iteration. The process continues till errors between the quantities in successive iteration reduces below a pre-specified value. 3
32 Summar Power flow stud is essential to decide the operation of the existing sstem and for planning the future sstem expansion. This is a stead state analsis. The information obtained are magnitude & phase angle of voltages, P & Q flowing in each line and line losses. For this analsis, the buses are classified as load bus, generator bus and slack bus. For large sstems, power flow is done using iterative methods like GS, NR and FD methods. Iterative methods are required because the power flow equations are non-linear algebraic equations. 32
33 Exercise 5.. Suppose that mutual coupling exists pairwise between branches 3 and 2 3, and also between branches 2 3 and 2 5 of Example 3.3. The mutual impedance between the former and latter pairs of branches are j0.5 and j0. per unit, respectivel. Find Y bus for the overall circuit. Hint: Primitive admittances for mutual branches is calculated b inverting the primitive impedance matrix as a single entit (3 x 3 matrix). Answer: 33
34 2. Find out the Y bus matrix of the power sstem shown. Data for this sstem is given in the table. Answer: 3. Determine the 4 x 4 bus admittance matrix and write nodal equations in matrix format for the circuit shown in Figure. Do not solve the equations. Answer: 34
EE 581 Power Systems. Admittance Matrix: Development, Direct and Iterative solutions
EE 581 Power Systems Admittance Matrix: Development, Direct and Iterative solutions Overview and HW # 8 Chapter 2.4 Chapter 6.4 Chapter 6.1-6.3 Homework: Special Problem 1 and 2 (see handout) Overview
More information= V I = Bus Admittance Matrix. Chapter 6: Power Flow. Constructing Ybus. Example. Network Solution. Triangular factorization. Let
Chapter 6: Power Flow Network Matrices Network Solutions Newton-Raphson Method Fast Decoupled Method Bus Admittance Matri Let I = vector of currents injected into nodes V = vector of node voltages Y bus
More informationCHAPTER 2 LOAD FLOW ANALYSIS FOR RADIAL DISTRIBUTION SYSTEM
16 CHAPTER 2 LOAD FLOW ANALYSIS FOR RADIAL DISTRIBUTION SYSTEM 2.1 INTRODUCTION Load flow analysis of power system network is used to determine the steady state solution for a given set of bus loading
More informationINSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous)
INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad - 500 043 ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK Course Name : Computer Methods in Power Systems Course Code : A60222
More informationNETWORK MATRICES. voltages through the branch impedance matrix and branch admittance matrix: ELOOP = ZLOOP ILOOP ILOOP = YLOOP ELOOP (11)
NETWORK MATRICES 2. FORMATION OF Y BUS AND Z BUS The bus admittance matrix, YBUS plays a very important role in computer aided power system analysis. It can be formed in practice by either of the methods
More informationKINGS COLLEGE OF ENGINEERING Punalkulam
KINGS COLLEGE OF ENGINEERING Punalkulam 613 303 DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING POWER SYSTEM ANALYSIS QUESTION BANK UNIT I THE POWER SYSTEM AN OVERVIEW AND MODELLING PART A (TWO MARK
More informationB.E. / B.Tech. Degree Examination, April / May 2010 Sixth Semester. Electrical and Electronics Engineering. EE 1352 Power System Analysis
B.E. / B.Tech. Degree Examination, April / May 2010 Sixth Semester Electrical and Electronics Engineering EE 1352 Power System Analysis (Regulation 2008) Time: Three hours Answer all questions Part A (10
More informationSECTION 5: POWER FLOW. ESE 470 Energy Distribution Systems
SECTION 5: POWER FLOW ESE 470 Energy Distribution Systems 2 Introduction Nodal Analysis 3 Consider the following circuit Three voltage sources VV sss, VV sss, VV sss Generic branch impedances Could be
More information6. MESH ANALYSIS 6.1 INTRODUCTION
6. MESH ANALYSIS INTRODUCTION PASSIVE SIGN CONVENTION PLANAR CIRCUITS FORMATION OF MESHES ANALYSIS OF A SIMPLE CIRCUIT DETERMINANT OF A MATRIX CRAMER S RULE GAUSSIAN ELIMINATION METHOD EXAMPLES FOR MESH
More informationPower System Analysis
Power System Analysis BY A. P U R N A C H A N D E R A S S I S T A N T P R O F E S S O R D E P A R T M E N T O F E E E A C E E N G I N E E R I N G C O L L E G E Course Objectives: 1. To understand and develop
More informationEE 6501 POWER SYSTEMS UNIT I INTRODUCTION
EE 6501 POWER SYSTEMS UNIT I INTRODUCTION PART A (2 MARKS) 1. What is single line diagram? A Single line diagram is diagrammatic representation of power system in which the components are represented by
More information2 NETWORK FORMULATION
NTWRK FRMUATN NTRDUCTRY RMARKS For performing any power system studies on the digital computer, the first step is to construct a suitable mathematical model of the power system network The mathematical
More information2 Power System Network Matrices I
Power System Analysis Power System Network Matrices I. INRODUCION he various terms used in Graph heory are presented in this chapter. Formulation of different network matrices are discussed. Primitive
More informationEE2351 POWER SYSTEM ANALYSIS UNIT I: INTRODUCTION
EE2351 POWER SYSTEM ANALYSIS UNIT I: INTRODUCTION PART: A 1. Define per unit value of an electrical quantity. Write equation for base impedance with respect to 3-phase system. 2. What is bus admittance
More informationSHORT QUESTIONS AND ANSWERS. Year/ Semester/ Class : III/ V/ EEE Academic Year: Subject Code/ Name: EE6501/ Power System Analysis
Srividya colllege of Engg & Tech,Virudhunagar Sri Vidya College of Engineering And Technology Virudhunagar 626 005 Department of Electrical and Electronics Engineering QUESTION BANK SHORT QUESTIONS AND
More informationPower system model. Olof Samuelsson. EIEN15 Electric Power Systems L2
Power system model Olof Samuelsson EIEN15 Electric Power Systems L2 1 Outline Previously: Models for lines, generator, power electronic converter, transformer Single line diagram Per unit Bus admittance
More informationPower system model. Olof Samuelsson. EIEN15 Electric Power Systems L2 1
Power system model Olof Samuelsson 1 Outline Previously: Models for lines, generator, power electronic converter, transformer Single line diagram Per unit Bus admittance matrix Bus impedance matrix Thévenin
More informationNetwork Topology-2 & Dual and Duality Choice of independent branch currents and voltages: The solution of a network involves solving of all branch currents and voltages. We know that the branch current
More informationNotes for course EE1.1 Circuit Analysis TOPIC 10 2-PORT CIRCUITS
Objectives: Introduction Notes for course EE1.1 Circuit Analysis 4-5 Re-examination of 1-port sub-circuits Admittance parameters for -port circuits TOPIC 1 -PORT CIRCUITS Gain and port impedance from -port
More informationPower System Security Analysis. B. Rajanarayan Prusty, Bhagabati Prasad Pattnaik, Prakash Kumar Pandey, A. Sai Santosh
849 Power System Security Analysis B. Rajanarayan Prusty, Bhagabati Prasad Pattnaik, Prakash Kumar Pandey, A. Sai Santosh Abstract: In this paper real time security analysis is carried out. First contingency
More informationPowerApps Optimal Power Flow Formulation
PowerApps Optimal Power Flow Formulation Page1 Table of Contents 1 OPF Problem Statement... 3 1.1 Vector u... 3 1.1.1 Costs Associated with Vector [u] for Economic Dispatch... 4 1.1.2 Costs Associated
More informationUnderstanding Load Flow Studies by using PSAT
Understanding Load Flow Studies by using PSAT Vijay Kumar Shukla 1, Ashutosh Bhadoria 2 1,2 Department of Electrical Engineering, Lovely Professional University, Jalandhar, India Abstract: Load Flow Study
More informationPower Flow Analysis of Radial Distribution System using Backward/Forward Sweep Method
Power Flow Analysis of Radial Distribution System using Backward/Forward Sweep Method Gurpreet Kaur 1, Asst. Prof. Harmeet Singh Gill 2 1,2 Department of Electrical Engineering, Guru Nanak Dev Engineering
More informationSeries & Parallel Resistors 3/17/2015 1
Series & Parallel Resistors 3/17/2015 1 Series Resistors & Voltage Division Consider the single-loop circuit as shown in figure. The two resistors are in series, since the same current i flows in both
More informationDC STEADY STATE CIRCUIT ANALYSIS
DC STEADY STATE CIRCUIT ANALYSIS 1. Introduction The basic quantities in electric circuits are current, voltage and resistance. They are related with Ohm s law. For a passive branch the current is: I=
More informationCHAPTER 6 STEADY-STATE ANALYSIS OF SINGLE-PHASE SELF-EXCITED INDUCTION GENERATORS
79 CHAPTER 6 STEADY-STATE ANALYSIS OF SINGLE-PHASE SELF-EXCITED INDUCTION GENERATORS 6.. INTRODUCTION The steady-state analysis of six-phase and three-phase self-excited induction generators has been presented
More informationINSTITUTE OF AERONAUTICAL ENGINEERING
INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad - 500 043 Department of Electrical and Electronics Engineering COMPUTER METHODS IN POWER SYSTEMS B.Tech III-II semester LECTURE NOTES
More information2/7/2013. Topics. 15-System Model Text: One-Line Diagram. One-Line Diagram
/7/013 Topics 15-ystem Model Text: 5.8 5.11 One-line Diagram ystem Modeling Regulating Transformers ECEGR 451 Power ystems Dr. Henry Louie 1 Dr. Henry Louie Generator us Transformer Transmission line Circuit
More informationEnhanced Newton Method Based Radial Distribution System Load Flow Analysis with Extrapolation Techniques
Enhanced Newton Method Based Radial Distribution System Load Flow Analysis with Extrapolation Techniques Asst. Prof. Dr. Hassan Kuhba Electrical Engineering Department, Engineering College/Baghdad University,
More informationSimultaneous placement of Distributed Generation and D-Statcom in a radial distribution system using Loss Sensitivity Factor
Simultaneous placement of Distributed Generation and D-Statcom in a radial distribution system using Loss Sensitivity Factor 1 Champa G, 2 Sunita M N University Visvesvaraya college of Engineering Bengaluru,
More informationChapter 3. Loop and Cut-set Analysis
Chapter 3. Loop and Cut-set Analysis By: FARHAD FARADJI, Ph.D. Assistant Professor, Electrical Engineering, K.N. Toosi University of Technology http://wp.kntu.ac.ir/faradji/electriccircuits2.htm References:
More informationUNIVERSITY OF NAIROBI DE-COUPLED LOAD FLOW STUDY METHOD
UNIVERSITY OF NAIROBI SCHOOL OF ENGINEERING DEPARTMENT OF ELECTRICAL AND INFORMATION ENGINEERING DE-COUPLED LOAD FLOW STUDY METHOD PROJECT INDEX: PRJ (71) BY KETER SAMSON KIPKIRUI F17/30052/2009 SUPERVISOR:
More informationChapter 3 AUTOMATIC VOLTAGE CONTROL
Chapter 3 AUTOMATIC VOLTAGE CONTROL . INTRODUCTION TO EXCITATION SYSTEM The basic function of an excitation system is to provide direct current to the field winding of the synchronous generator. The excitation
More informationBalanced three-phase systems and operation
ELEC0014 - Introduction to power and energy systems Balanced three-phase systems and operation Thierry Van Cutsem t.vancutsem@ulg.ac.be www.montefiore.ulg.ac.be/~vct October 2017 1 / 17 system used for
More informationPower System Analysis Prof. A. K. Sinha Department of Electrical Engineering Indian Institute of Technology, Kharagpur. Lecture - 21 Power Flow VI
Power System Analysis Prof. A. K. Sinha Department of Electrical Engineering Indian Institute of Technology, Kharagpur Lecture - 21 Power Flow VI (Refer Slide Time: 00:57) Welcome to lesson 21. In this
More informationIncorporation of Asynchronous Generators as PQ Model in Load Flow Analysis for Power Systems with Wind Generation
Incorporation of Asynchronous Generators as PQ Model in Load Flow Analysis for Power Systems with Wind Generation James Ranjith Kumar. R, Member, IEEE, Amit Jain, Member, IEEE, Power Systems Division,
More informationState Estimation and Power Flow Analysis of Power Systems
JOURNAL OF COMPUTERS, VOL. 7, NO. 3, MARCH 01 685 State Estimation and Power Flow Analysis of Power Systems Jiaxiong Chen University of Kentucky, Lexington, Kentucky 40508 U.S.A. Email: jch@g.uky.edu Yuan
More informationComparison of Power Flow Algorithms for inclusion in On-line Power Systems Operation Tools
University of New Orleans ScholarWorks@UNO University of New Orleans Theses and Dissertations Dissertations and Theses 12-17-2010 Comparison of Power Flow Algorithms for inclusion in On-line Power Systems
More informationCHAPTER 2 CAPACITANCE REQUIREMENTS OF SIX-PHASE SELF-EXCITED INDUCTION GENERATORS
9 CHAPTER 2 CAPACITANCE REQUIREMENTS OF SIX-PHASE SELF-EXCITED INDUCTION GENERATORS 2.. INTRODUCTION Rapidly depleting rate of conventional energy sources, has led the scientists to explore the possibility
More informationTWO PORT NETWORKS Introduction: A port is normally referred to a pair of terminals of a network through which we can have access to network either for a source for measuring an output We have already seen
More informationCIRCUIT ANALYSIS TECHNIQUES
APPENDI B CIRCUIT ANALSIS TECHNIQUES The following methods can be used to combine impedances to simplify the topology of an electric circuit. Also, formulae are given for voltage and current division across/through
More informationCHAPTER 5 STEADY-STATE ANALYSIS OF THREE-PHASE SELF-EXCITED INDUCTION GENERATORS
6 CHAPTER 5 STEADY-STATE ANALYSIS OF THREE-PHASE SELF-EXCITED INDUCTION GENERATORS 5.. INTRODUCTION The steady-state analysis of six-phase SEIG has been discussed in the previous chapters. In this chapter,
More information09-Circuit Theorems Text: , 4.8. ECEGR 210 Electric Circuits I
09Circuit Theorems Text: 4.1 4.3, 4.8 ECEGR 210 Electric Circuits I Overview Introduction Linearity Superposition Maximum Power Transfer Dr. Louie 2 Introduction Nodal and mesh analysis can be tedious
More informationLINE FLOW ANALYSIS OF IEEE BUS SYSTEM WITH THE LOAD SENSITIVITY FACTOR
LINE FLOW ANALYSIS OF IEEE BUS SYSTEM WITH THE LOAD SENSITIVITY FACTOR Puneet Sharma 1, Jyotsna Mehra 2, Virendra Kumar 3 1,2,3 M.Tech Research scholar, Galgotias University, Greater Noida, India Abstract
More informationSinusoidal Steady State Analysis (AC Analysis) Part I
Sinusoidal Steady State Analysis (AC Analysis) Part I Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/
More informationSinusoidal Steady State Analysis (AC Analysis) Part II
Sinusoidal Steady State Analysis (AC Analysis) Part II Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/
More informationDHANALAKSHMI SRINIVASAN COLLEGE OF ENGINEERING AND TECHNOLOGY Mamalapuram Chennai QUESTION BANK V SEMESTER. EE6501-Power system Analysis
DHANALAKSHMI SRINIVASAN COLLEGE OF ENGINEERING AND TECHNOLOGY Mamalapuram Chennai DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK V SEMESTER EE6501-Power system Analysis Regulation 2013
More informationChapter 8 VOLTAGE STABILITY
Chapter 8 VOTAGE STABIITY The small signal and transient angle stability was discussed in Chapter 6 and 7. Another stability issue which is important, other than angle stability, is voltage stability.
More informationAn Equivalent Circuit Formulation of the Power Flow Problem with Current and Voltage State Variables
An Equivalent Circuit Formulation of the Power Flow Problem with Current and Voltage State Variables David M. Bromberg, Marko Jereminov, Xin Li, Gabriela Hug, Larry Pileggi Dept. of Electrical and Computer
More informationElevated Neutral to Earth Voltages Due to Harmonics A T&D Update
Elevated Neutral to Earth Voltages Due to Harmonics A T&D Update E. R. (Randy) Collins, PhD, PE Dept. of Electrical and Computer Engineering Clemson University Clemson, South Carolina Stray Voltage Panel
More informationBFF1303: ELECTRICAL / ELECTRONICS ENGINEERING. Alternating Current Circuits : Basic Law
BFF1303: ELECTRICAL / ELECTRONICS ENGINEERING Alternating Current Circuits : Basic Law Ismail Mohd Khairuddin, Zulkifil Md Yusof Faculty of Manufacturing Engineering Universiti Malaysia Pahang Alternating
More informationECE Linear Circuit Analysis II
ECE 202 - Linear Circuit Analyi II Final Exam Solution December 9, 2008 Solution Breaking F into partial fraction, F 2 9 9 + + 35 9 ft δt + [ + 35e 9t ]ut A 9 Hence 3 i the correct anwer. Solution 2 ft
More informationNotes for course EE1.1 Circuit Analysis TOPIC 4 NODAL ANALYSIS
Notes for course EE1.1 Circuit Analysis 2004-05 TOPIC 4 NODAL ANALYSIS OBJECTIVES 1) To develop Nodal Analysis of Circuits without Voltage Sources 2) To develop Nodal Analysis of Circuits with Voltage
More informationDiscussion Question 6A
Discussion Question 6 P212, Week 6 Two Methods for Circuit nalysis Method 1: Progressive collapsing of circuit elements In last week s discussion, we learned how to analyse circuits involving batteries
More informationUNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS
UNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS 1.0 Kirchoff s Law Kirchoff s Current Law (KCL) states at any junction in an electric circuit the total current flowing towards that junction is equal
More information1 Unified Power Flow Controller (UPFC)
Power flow control with UPFC Rusejla Sadikovic Internal report 1 Unified Power Flow Controller (UPFC) The UPFC can provide simultaneous control of all basic power system parameters ( transmission voltage,
More informationIn this lecture, we will consider how to analyse an electrical circuit by applying KVL and KCL. As a result, we can predict the voltages and currents
In this lecture, we will consider how to analyse an electrical circuit by applying KVL and KCL. As a result, we can predict the voltages and currents around an electrical circuit. This is a short lecture,
More informationEE2351 POWER SYSTEM ANALYSIS
EE351 POWER SYSTEM ANALYSIS A.Ahamed Riazudeen EEE DEPARTMENT 1 UNIT I INTRODUCTION Power system network 3 SINGLE LINE DIAGRAM It is a diagrammatic representation of a power system in which the components
More informationElectric Circuits I. Nodal Analysis. Dr. Firas Obeidat
Electric Circuits I Nodal Analysis Dr. Firas Obeidat 1 Nodal Analysis Without Voltage Source Nodal analysis, which is based on a systematic application of Kirchhoff s current law (KCL). A node is defined
More informationModule 3 : Sequence Components and Fault Analysis
Module 3 : Sequence Components and Fault Analysis Lecture 12 : Sequence Modeling of Power Apparatus Objectives In this lecture we will discuss Per unit calculation and its advantages. Modeling aspects
More informationTHE UNIVERSITY OF NEW SOUTH WALES. School of Electrical Engineering & Telecommunications FINALEXAMINATION. Session
Name: Student ID: Signature: THE UNIVERSITY OF NEW SOUTH WALES School of Electrical Engineering & Telecommunications FINALEXAMINATION Session 00 ELEC46 Power System Analysis TIME ALLOWED: 3 hours TOTAL
More informationVoltage Dividers, Nodal, and Mesh Analysis
Engr228 Lab #2 Voltage Dividers, Nodal, and Mesh Analysis Name Partner(s) Grade /10 Introduction This lab exercise is designed to further your understanding of the use of the lab equipment and to verify
More informationmywbut.com Mesh Analysis
Mesh Analysis 1 Objectives Meaning of circuit analysis; distinguish between the terms mesh and loop. To provide more general and powerful circuit analysis tool based on Kirchhoff s voltage law (KVL) only.
More informationA COMPUTER PROGRAM FOR SHORT CIRCUIT ANALYSIS OF ELECTRIC POWER SYSTEMS
NIJOTECH VOL. 5 NO. 1 MARCH 1981 EJEBE 46 A COMPUTER PROGRAM FOR SHORT CIRCUIT ANALYSIS OF ELECTRIC POWER SYSTEMS BY G.C. EJEBE DEPARTMENT OF ELECTRICAL/ELECTRONIC ENGINEERING UNIVERSITY OF NIGERIA, NSUKKA.
More information3- BASICS. YTransformation. for balanced load. \V ab 120 = \V bc. \V ab 240 = \V ca \I a 120 = \I b \I a 240 = \I c V ab I a
3- BASICS YTransformation for balanced load Z =3Z Y Balanced 3- Systems \V ab 10 = \V bc \V ab 40 = \V ca \I a 10 = \I b \I a 40 = \I c V ab I a = p 3 V an = p 3 I ab \V ab 30 = \V an \I ab 30 = \I a S
More informationMassachusetts Institute of Technology Department of Electrical Engineering and Computer Science : Circuits & Electronics Problem Set #1 Solution
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.2: Circuits & Electronics Problem Set # Solution Exercise. The three resistors form a series connection.
More informationChapter 10 AC Analysis Using Phasors
Chapter 10 AC Analysis Using Phasors 10.1 Introduction We would like to use our linear circuit theorems (Nodal analysis, Mesh analysis, Thevenin and Norton equivalent circuits, Superposition, etc.) to
More informationOptimal Compensation of Reactive Power in Transmission Networks using PSO, Cultural and Firefly Algorithms
Volume 114 No. 9 2017, 367-388 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu ijpam.eu Optimal Compensation of Reactive Power in Transmission Networks using
More informationELECTRIC POWER CIRCUITS BASIC CONCEPTS AND ANALYSIS
Contents ELEC46 Power ystem Analysis Lecture ELECTRC POWER CRCUT BAC CONCEPT AND ANALY. Circuit analysis. Phasors. Power in single phase circuits 4. Three phase () circuits 5. Power in circuits 6. ingle
More informationIGEE 402 Power System Analysis. FINAL EXAMINATION - SAMPLE Fall 2004
IGEE 402 Power System Analysis FINAL EXAMINATION - SAMPLE Fall 2004 Special instructions: - Duration: 80 minutes. - Material allowed: a crib sheet (double sided 8.5 x ), calculator. - Attempt 5 out of
More informationAustralian Journal of Basic and Applied Sciences. General Fault Admittance Method Solution of a Balanced Line-to-Line-to-Line Fault
Australian Journal of Basic and Applied Sciences, 8() January 4, Pages: 8-47 AENSI Journals Australian Journal of Basic and Applied Sciences Journal home page: www.ajbasweb.com General Fault Admittance
More informationElectric Circuits I. Midterm #1
The University of Toledo Section number s5ms_elci7.fm - Electric Circuits I Midterm # Problems Points. 3 2. 7 3. 5 Total 5 Was the exam fair? yes no The University of Toledo Section number s5ms_elci7.fm
More informationModule 2. DC Circuit. Version 2 EE IIT, Kharagpur
Module 2 DC Circuit Lesson 5 Node-voltage analysis of resistive circuit in the context of dc voltages and currents Objectives To provide a powerful but simple circuit analysis tool based on Kirchhoff s
More informationMAE140 - Linear Circuits - Winter 09 Midterm, February 5
Instructions MAE40 - Linear ircuits - Winter 09 Midterm, February 5 (i) This exam is open book. You may use whatever written materials you choose, including your class notes and textbook. You may use a
More information, and ignoring all load currents, determine
ECE43 Test 3 Dec 8, 5 Q. (33 pts.) The Zbus for the above 3-bus network with bus as reference, in per unit, is given to be 3.87 j.798 j.8 j Z.798 j.87 j.8 j bus.8 j.8 j j Assuming that the prefault values
More informationA Course Material on EE2351 POWER SYSTEM ANALYSIS
A Course Material on EE2351 POWER SYSTEM ANALYSIS By Mrs. K. Umarani ASSISTANT PROFESSOR DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING SASURIE COLLEGE OF ENGINEERING VIJAYAMANGALAM 638 056 Page
More informationModule 2. DC Circuit. Version 2 EE IIT, Kharagpur
Module DC Circuit Lesson 4 Loop Analysis of resistive circuit in the context of dc voltages and currents Objectives Meaning of circuit analysis; distinguish between the terms mesh and loop. To provide
More informationElectrical Machines-I Prof. D. Kastha Department of Electrical Engineering Indian Institute of Technology, Kharagpur
Electrical Machines-I Prof. D. Kastha Department of Electrical Engineering Indian Institute of Technology, Kharagpur Lecture - 20 Potential and Current Transformers (Refer Slide Time: 00:37) So far we
More informationLecture Notes on DC Network Theory
Federal University, Ndufu-Alike, Ikwo Department of Electrical/Electronics and Computer Engineering (ECE) Faculty of Engineering and Technology Lecture Notes on DC Network Theory Harmattan Semester by
More informationChapter 5. Department of Mechanical Engineering
Source Transformation By KVL: V s =ir s + v By KCL: i s =i + v/r p is=v s /R s R s =R p V s /R s =i + v/r s i s =i + v/r p Two circuits have the same terminal voltage and current Source Transformation
More informationChapter 8: Unsymmetrical Faults
Chapter 8: Unsymmetrical Faults Introduction The sequence circuits and the sequence networks developed in the previous chapter will now be used for finding out fault current during unsymmetrical faults.
More informationKirchhoff's Laws and Circuit Analysis (EC 2)
Kirchhoff's Laws and Circuit Analysis (EC ) Circuit analysis: solving for I and V at each element Linear circuits: involve resistors, capacitors, inductors Initial analysis uses only resistors Power sources,
More informationECE 1311: Electric Circuits. Chapter 2: Basic laws
ECE 1311: Electric Circuits Chapter 2: Basic laws Basic Law Overview Ideal sources series and parallel Ohm s law Definitions open circuits, short circuits, conductance, nodes, branches, loops Kirchhoff's
More informationPOWER flow studies are the cornerstone of power system
University of Wisconsin-Madison Department of Electrical and Computer Engineering. Technical Report ECE-2-. A Sufficient Condition for Power Flow Insolvability with Applications to Voltage Stability Margins
More informationELECTRICAL THEORY. Ideal Basic Circuit Element
ELECTRICAL THEORY PROF. SIRIPONG POTISUK ELEC 106 Ideal Basic Circuit Element Has only two terminals which are points of connection to other circuit components Can be described mathematically in terms
More informationPerformance analysis and comparison of load flow methods in a practical distribution system
Performance analysis and comparison of load flow methods in a practical distribution system B.Muruganantham Dept. of Electrical and Electronics Engineering Pondicherry Engineering College Puducherry -
More informationConsider the following generalized simple circuit
ntroduction to Circuit Analysis Getting Started We analyze circuits for several reasons Understand how they work Learn how to design from other people s work Debug our own designs Troubleshoot circuit
More informationElectric Circuits II Sinusoidal Steady State Analysis. Dr. Firas Obeidat
Electric Circuits II Sinusoidal Steady State Analysis Dr. Firas Obeidat 1 Table of Contents 1 2 3 4 5 Nodal Analysis Mesh Analysis Superposition Theorem Source Transformation Thevenin and Norton Equivalent
More informationDC motors. 1. Parallel (shunt) excited DC motor
DC motors 1. Parallel (shunt) excited DC motor A shunt excited DC motor s terminal voltage is 500 V. The armature resistance is 0,5 Ω, field resistance is 250 Ω. On a certain load it takes 20 A current
More information3.1 Superposition theorem
Many electric circuits are complex, but it is an engineer s goal to reduce their complexity to analyze them easily. In the previous chapters, we have mastered the ability to solve networks containing independent
More informationBasics of Network Theory (Part-I)
Basics of Network Theory (PartI). A square waveform as shown in figure is applied across mh ideal inductor. The current through the inductor is a. wave of peak amplitude. V 0 0.5 t (m sec) [Gate 987: Marks]
More informationPower System Analysis Prof. A. K. Sinha Department of Electrical Engineering Indian Institute of Technology, Kharagpur
Power System Analysis Prof. A. K. Sinha Department of Electrical Engineering Indian Institute of Technology, Kharagpur Lecture - 9 Transmission Line Steady State Operation Welcome to lesson 9, in Power
More informationChapter 2 Circuit Elements
Chapter 2 Circuit Elements 2.1 Voltage and Current Sources 2.2 Electrical Resistance (Ohm s Law) 2.3 Construction of a Circuit Model 2.4 Kirchhoff s Laws 2.5 Analysis of a Circuit Containing Dependent
More informationThe Effects of Mutual Coupling and Transformer Connection Type on Frequency Response of Unbalanced Three Phases Electrical Distribution System
IJSRD - International Journal for Scientific Research & Development Vol. 1, Issue 9, 2013 ISSN (online): 2321-0613 The Effects of Mutual Coupling and Transformer Connection Type on Frequency Response of
More informationSimulating a Power System
Simulating a Power System Presented by Prof. Tyrone Fernando School of Electrical and Electronic Engineering (EECE), University of Western Australia (UWA) 1. Motivations In an actual power system, it is
More informationChapter 10: Sinusoidal Steady-State Analysis
Chapter 10: Sinusoidal Steady-State Analysis 10.1 10.2 10.3 10.4 10.5 10.6 10.9 Basic Approach Nodal Analysis Mesh Analysis Superposition Theorem Source Transformation Thevenin & Norton Equivalent Circuits
More informationChapter 2. Engr228 Circuit Analysis. Dr Curtis Nelson
Chapter 2 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 2 Objectives Understand symbols and behavior of the following circuit elements: Independent voltage and current sources; Dependent voltage and
More informationModelling and Analysis of Electric Power Systems
Modelling and Analysis of Electric Power Systems Power Flow Analysis Fault Analysis Power Systems Dynamics and Stability Lecture 227-0526-00, ITET ETH Zürich Göran Andersson EEH - Power Systems Laboratory
More informationModelling and Simulation of TCPAR for Power System Flow Studies
ISSN 1583-033 Issue 1, July-December 01 p. 13-137 Modelling and Simulation of TCPAR for Power System Flow Studies Narimen Lahaçani AOUZELLAG *, Lyes BENKHELLAT, Samir MAHLOUL Department of Electrical Engineering,
More informationMidterm Exam (closed book/notes) Tuesday, February 23, 2010
University of California, Berkeley Spring 2010 EE 42/100 Prof. A. Niknejad Midterm Exam (closed book/notes) Tuesday, February 23, 2010 Guidelines: Closed book. You may use a calculator. Do not unstaple
More information