ECEN 667 Power System Stability Lecture 11: Exciter Models

Size: px
Start display at page:

Download "ECEN 667 Power System Stability Lecture 11: Exciter Models"

Transcription

1 CN 667 Power System Stability Lecture : xciter Models Prof. Tom Overbye Dept. of lectrical and Computer ngineering Texas A&M University, overbye@tamu.edu

2 Announcements Read Chapter 4 Homework 3 is due today Homework 4 is posted; it should be done before the first exam but need not be turned in Midterm exam is on Tuesday Oct 7 in class; closed book, closed notes, one 8.5 by inch hand written notesheet allowed; calculators allowed 2

3 Types of xciters None, which would be the case for a permanent magnet generator primarily used with wind turbines with ac-dc-ac converters DC: Utilize a dc generator as the source of the field voltage through slip rings AC: Use an ac generator on the generator shaft, with output rectified to produce the dc field voltage; brushless with a rotating rectifier system Static: xciter is static, with field current supplied through slip rings 3

4 Brief Review of DC Machines Prior to widespread use of machine drives, dc motors had a important advantage of easy speed control On the stator a dc machine has either a permanent magnet or a single concentrated winding Rotor (armature) currents are supplied through brushes and commutator quations are di f v f i f R f Lf dt di v i R L G i dt a a a a a m f The f subscript refers to the field, the a to the armature; is the machine's speed, G is a constant. In a permanent magnet machine the field flux is constant, the field equation goes away, and the field impact is embedded in a equivalent constant to Gi f Taken mostly from C 330 book, M.A. Pai, Power Circuits and lectromechanics 4

5 Types of DC Machines If there is a field winding (i.e., not a permanent magnet machine) then the machine can be connected in the following ways Separately-excited: Field and armature windings are connected to separate power sources For an exciter, control is provided by varying the field current (which is stationary), which changes the armature voltage Series-excited: Field and armature windings are in series Shunt-excited: Field and armature windings are in parallel 5

6 Separately xcited DC xciter (to sync mach) e in d f rf iin N f dt a f is coefficient of dispersion, modeling the flux leakage 6

7 Separately xcited DC xciter Relate the input voltage, e in, to v v K K a a a f v K a in in f a d f dv dt K dt e i r N K f a dv dt f Assuming a constant speed Solve above for f which was used in the previous slide 7

8 Separately xcited DC xciter If it was a linear magnetic circuit, then v would be proportional to i n ; for a real system we need to account for saturation v i in f sat v v K g Without saturation we can write K g K N Where L a f f us L f us is the unsaturated field inductance 8

9 e r i N in f in f Separately xcited DC xciter Can be written as d dt f r L dv e v r f v v f f us in f sat Kg Kg dt This equation is then scaled based on the synchronous machine base values X X v V R R V md md BFD 9

10 Separately xcited Scaled Values r f L f us K T sep K g K g V R R X md V BFD e in V BFD R S r f f sat X md Thus we have d T K S V dt sep R V r is the scaled output of the voltage regulator amplifier 0

11 The Self-xcited xciter When the exciter is self-excited, the amplifier voltage appears in series with the exciter field d T K S V R dt sep Note the additional term on the end

12 Self and Separated xcited xciters The same model can be used for both by just modifying the value of K d T K S V dt R K K typically K.0 self sep self 2

13 I T K Values xample IT Values from a large system 3

14 Saturation A number of different functions can be used to represent the saturation The quadratic approach is now quite common S ( ) B ( A) An alternative model is S ( ) xponential function could also be used 2 B ( A) B x S A e x 2 This is the same function used with the machine models 4

15 xponential Saturation K S 0.e Steady state V R e 5

16 xponential Saturation xample Given:.05 K S max 0.27 S max V R.0 max max 4.6 Find: A x, Bx and max A x.005 x B x S A e B. 4 x 6

17 Voltage Regulator Model Amplifier In steady state Big K A dv T V K V dt R A R A in min max R R R V V V V t V ref V V ref t V in V K R A Modeled as a first order differential equation There is often a droop in regulation 7

18 Feedback This control system can often exhibit instabilities, so some type of feedback is used One approach is a stabilizing transformer Large L t2 so I t2 0 V F N N 2 L tm dit dt 8

19 dt d R L N N V L L R dt dv dt di L L I R t tm F tm t t F t tm t t t 2 T F K F Feedback 9

20 I T xciter This model was standardized in the 968 I Committee Paper with Fig shown below 20

21 I T volution This model has been subsequently modified over the years, called the DC in a 98 I paper (modeled as the XDC in stability packages) Note, K in the feedback is the same as the 968 approach Image Source: Fig 3 of "xcitation System Models for Power Stability Studies," I Trans. Power App. and Syst., vol. PAS-00, pp , February 98 2

22 I T volution In 992 I Std slightly modified it, calling it the DCA (modeled as SDCA) Same model is in Image Source: Fig 3 of I Std V UL is a signal from an underexcitation limiter, which we'll cover later 22

23 I T volution Slightly modified in Std Note the minimum limit on FD There is also the addition to the input of voltages from a stator current limiters (V SCL ) or over excitation limiters (V OL ) 23

24 Initialization and Coding: Block Diagram Basics To simulate a model represented as a block diagram, the equations need to be represented as a set of first order differential equations Also the initial state variable and reference values need to be determined Next several slides quickly cover the standard block diagram elements 24

25 Integrator Block quation for an integrator with u as an input and y as an output is dy u I dt Ku K I s y In steady-state with an initial output of y 0, the initial state is y 0 and the initial input is zero 25

26 u First Order Lag Block K Ts quation with u as an input and y as an output is dy Ku y dt T y In steady-state with an initial output of y 0, the initial state is y 0 and the initial input is y 0 /K Commonly used for measurement delay (e.g., T R block with I T) Input Output of Lag Block 26

27 Derivative Block u KDs st D y Block takes the derivative of the input, with scaling K D and a first order lag with T D Physically we can't take the derivative without some lag In steady-state the output of the block is zero State equations require a more general approach 27

28 State quations for More Complicated Functions There is not a unique way of obtaining state equations for more complicated functions with a general form m du d u 0u m m dt dt n n dy d y d y 0 y n n n dt dt dt To be physically realizable we need n >= m 28

29 General Block Diagram Approach One integration approach is illustrated in the below block diagram Image source: W.L. Brogan, Modern Control Theory, Prentice Hall, 99, Figure

30 Write in form KD s TD T s D Derivative xample Hence 0 =0, =K D /T D, 0 =/T D Define single state variable x, then dx dt y 0u0y T K D y x u x u TD D Initial value of x is found by recognizing y is zero so x = - u 30

31 Lead-Lag Block u st st In exciters such as the XDC the lead-lag block is used to model time constants inherent in the exciter; the values are often zero (or equivalently equal) In steady-state the input is equal to the output To get equations write in form with 0 =/T B, =T A /T B, 0 =/T B A B y input Output of Lead/Lag T s st T T st T s A A B B B B 3

32 The equations are with 0 =/T B, =T A /T B, 0 =/T B then Lead-Lag Block dx 0u 0y u y dt T T A y x u x u TB B The steady-state requirement that u = y is readily apparent 32

ECEN 667 Power System Stability Lecture 18: Voltage Stability, Load Models

ECEN 667 Power System Stability Lecture 18: Voltage Stability, Load Models ECEN 667 Power System Stability Lecture 18: Voltage Stability, Load Models Prof. Tom Overbye Dept. of Electrical and Computer Engineering Texas A&M University, overbye@tamu.edu 1 Announcements Read Chapter

More information

Introduction to Synchronous. Machines. Kevin Gaughan

Introduction to Synchronous. Machines. Kevin Gaughan Introduction to Synchronous Machines Kevin Gaughan The Synchronous Machine An AC machine (generator or motor) with a stator winding (usually 3 phase) generating a rotating magnetic field and a rotor carrying

More information

Synchronous Machines

Synchronous Machines Synchronous machine 1. Construction Generator Exciter View of a twopole round rotor generator and exciter. A Stator with laminated iron core C Slots with phase winding B A B Rotor with dc winding B N S

More information

Synchronous Machines

Synchronous Machines Synchronous Machines Synchronous generators or alternators are used to convert mechanical power derived from steam, gas, or hydraulic-turbine to ac electric power Synchronous generators are the primary

More information

Lesson 17: Synchronous Machines

Lesson 17: Synchronous Machines Lesson 17: Synchronous Machines ET 332b Ac Motors, Generators and Power Systems Lesson 17_et332b.pptx 1 Learning Objectives After this presentation you will be able to: Explain how synchronous machines

More information

An Introduction to Electrical Machines. P. Di Barba, University of Pavia, Italy

An Introduction to Electrical Machines. P. Di Barba, University of Pavia, Italy An Introduction to Electrical Machines P. Di Barba, University of Pavia, Italy Academic year 0-0 Contents Transformer. An overview of the device. Principle of operation of a single-phase transformer 3.

More information

ECE 325 Electric Energy System Components 7- Synchronous Machines. Instructor: Kai Sun Fall 2015

ECE 325 Electric Energy System Components 7- Synchronous Machines. Instructor: Kai Sun Fall 2015 ECE 325 Electric Energy System Components 7- Synchronous Machines Instructor: Kai Sun Fall 2015 1 Content (Materials are from Chapters 16-17) Synchronous Generators Synchronous Motors 2 Synchronous Generators

More information

Synchronous Machines

Synchronous Machines Synchronous Machines Synchronous Machines n 1 Φ f n 1 Φ f I f I f I f damper (run-up) winding Stator: similar to induction (asynchronous) machine ( 3 phase windings that forms a rotational circular magnetic

More information

Mathematical Modeling and Dynamic Simulation of a Class of Drive Systems with Permanent Magnet Synchronous Motors

Mathematical Modeling and Dynamic Simulation of a Class of Drive Systems with Permanent Magnet Synchronous Motors Applied and Computational Mechanics 3 (2009) 331 338 Mathematical Modeling and Dynamic Simulation of a Class of Drive Systems with Permanent Magnet Synchronous Motors M. Mikhov a, a Faculty of Automatics,

More information

Power System Operations and Control Prof. S.N. Singh Department of Electrical Engineering Indian Institute of Technology, Kanpur. Module 3 Lecture 8

Power System Operations and Control Prof. S.N. Singh Department of Electrical Engineering Indian Institute of Technology, Kanpur. Module 3 Lecture 8 Power System Operations and Control Prof. S.N. Singh Department of Electrical Engineering Indian Institute of Technology, Kanpur Module 3 Lecture 8 Welcome to lecture number 8 of module 3. In the previous

More information

ECE 585 Power System Stability

ECE 585 Power System Stability Homework 1, Due on January 29 ECE 585 Power System Stability Consider the power system below. The network frequency is 60 Hz. At the pre-fault steady state (a) the power generated by the machine is 400

More information

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science Electric Machines

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science Electric Machines Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.685 Electric Machines Problem Set 10 Issued November 11, 2013 Due November 20, 2013 Problem 1: Permanent

More information

Revision Guide for Chapter 15

Revision Guide for Chapter 15 Revision Guide for Chapter 15 Contents tudent s Checklist Revision otes Transformer... 4 Electromagnetic induction... 4 Generator... 5 Electric motor... 6 Magnetic field... 8 Magnetic flux... 9 Force on

More information

MODELING AND HIGH-PERFORMANCE CONTROL OF ELECTRIC MACHINES

MODELING AND HIGH-PERFORMANCE CONTROL OF ELECTRIC MACHINES MODELING AND HIGH-PERFORMANCE CONTROL OF ELECTRIC MACHINES JOHN CHIASSON IEEE PRESS ü t SERIES ON POWER ENGINEERING IEEE Press Series on Power Engineering Mohamed E. El-Hawary, Series Editor The Institute

More information

Chapter 6. Induction Motors. Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Chapter 6. Induction Motors. Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Chapter 6 Induction Motors 1 The Development of Induced Torque in an Induction Motor Figure 6-6 The development of induced torque in an induction motor. (a) The rotating stator field B S induces a voltage

More information

EC T32 - ELECTRICAL ENGINEERING

EC T32 - ELECTRICAL ENGINEERING EC T32 - ELECTRICAL ENGINEERING UNIT-I - TRANSFORMER 1. What is a transformer? 2. Briefly explain the principle of operation of transformers. 3. What are the parts of a transformer? 4. What are the types

More information

Chapter 3 AUTOMATIC VOLTAGE CONTROL

Chapter 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 information

DESIGN AND MODELLING OF SENSORLESS VECTOR CONTROLLED INDUCTION MOTOR USING MODEL REFERENCE ADAPTIVE SYSTEMS

DESIGN AND MODELLING OF SENSORLESS VECTOR CONTROLLED INDUCTION MOTOR USING MODEL REFERENCE ADAPTIVE SYSTEMS DESIGN AND MODELLING OF SENSORLESS VECTOR CONTROLLED INDUCTION MOTOR USING MODEL REFERENCE ADAPTIVE SYSTEMS Janaki Pakalapati 1 Assistant Professor, Dept. of EEE, Avanthi Institute of Engineering and Technology,

More information

Stepping Motors. Chapter 11 L E L F L D

Stepping Motors. Chapter 11 L E L F L D Chapter 11 Stepping Motors In the synchronous motor, the combination of sinusoidally distributed windings and sinusoidally time varying current produces a smoothly rotating magnetic field. We can eliminate

More information

E11 Lecture 13: Motors. Professor Lape Fall 2010

E11 Lecture 13: Motors. Professor Lape Fall 2010 E11 Lecture 13: Motors Professor Lape Fall 2010 Overview How do electric motors work? Electric motor types and general principles of operation How well does your motor perform? Torque and power output

More information

ENGG4420 LECTURE 7. CHAPTER 1 BY RADU MURESAN Page 1. September :29 PM

ENGG4420 LECTURE 7. CHAPTER 1 BY RADU MURESAN Page 1. September :29 PM CHAPTER 1 BY RADU MURESAN Page 1 ENGG4420 LECTURE 7 September 21 10 2:29 PM MODELS OF ELECTRIC CIRCUITS Electric circuits contain sources of electric voltage and current and other electronic elements such

More information

A Power System Dynamic Simulation Program Using MATLAB/ Simulink

A Power System Dynamic Simulation Program Using MATLAB/ Simulink A Power System Dynamic Simulation Program Using MATLAB/ Simulink Linash P. Kunjumuhammed Post doctoral fellow, Department of Electrical and Electronic Engineering, Imperial College London, United Kingdom

More information

Equivalent Circuits with Multiple Damper Windings (e.g. Round rotor Machines)

Equivalent Circuits with Multiple Damper Windings (e.g. Round rotor Machines) Equivalent Circuits with Multiple Damper Windings (e.g. Round rotor Machines) d axis: L fd L F - M R fd F L 1d L D - M R 1d D R fd R F e fd e F R 1d R D Subscript Notations: ( ) fd ~ field winding quantities

More information

School of Mechanical Engineering Purdue University. ME375 ElectroMechanical - 1

School of Mechanical Engineering Purdue University. ME375 ElectroMechanical - 1 Electro-Mechanical Systems DC Motors Principles of Operation Modeling (Derivation of fg Governing Equations (EOM)) Block Diagram Representations Using Block Diagrams to Represent Equations in s - Domain

More information

Introduction. Energy is needed in different forms: Light bulbs and heaters need electrical energy Fans and rolling miles need mechanical energy

Introduction. Energy is needed in different forms: Light bulbs and heaters need electrical energy Fans and rolling miles need mechanical energy Introduction Energy is needed in different forms: Light bulbs and heaters need electrical energy Fans and rolling miles need mechanical energy What does AC and DC stand for? Electrical machines Motors

More information

Power System Stability and Control. Dr. B. Kalyan Kumar, Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai, India

Power System Stability and Control. Dr. B. Kalyan Kumar, Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai, India Power System Stability and Control Dr. B. Kalyan Kumar, Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai, India Contents Chapter 1 Introduction to Power System Stability

More information

3 d Calculate the product of the motor constant and the pole flux KΦ in this operating point. 2 e Calculate the torque.

3 d Calculate the product of the motor constant and the pole flux KΦ in this operating point. 2 e Calculate the torque. Exam Electrical Machines and Drives (ET4117) 11 November 011 from 14.00 to 17.00. This exam consists of 5 problems on 4 pages. Page 5 can be used to answer problem 4 question b. The number before a question

More information

ROEVER COLLEGE OF ENGINEERING & TECHNOLOGY ELAMBALUR, PERAMBALUR DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING ELECTRICAL MACHINES I

ROEVER COLLEGE OF ENGINEERING & TECHNOLOGY ELAMBALUR, PERAMBALUR DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING ELECTRICAL MACHINES I ROEVER COLLEGE OF ENGINEERING & TECHNOLOGY ELAMBALUR, PERAMBALUR-621220 DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING ELECTRICAL MACHINES I Unit I Introduction 1. What are the three basic types

More information

Automatic Control Systems. -Lecture Note 15-

Automatic Control Systems. -Lecture Note 15- -Lecture Note 15- Modeling of Physical Systems 5 1/52 AC Motors AC Motors Classification i) Induction Motor (Asynchronous Motor) ii) Synchronous Motor 2/52 Advantages of AC Motors i) Cost-effective ii)

More information

Nonlinear Electrical FEA Simulation of 1MW High Power. Synchronous Generator System

Nonlinear Electrical FEA Simulation of 1MW High Power. Synchronous Generator System Nonlinear Electrical FEA Simulation of 1MW High Power Synchronous Generator System Jie Chen Jay G Vaidya Electrodynamics Associates, Inc. 409 Eastbridge Drive, Oviedo, FL 32765 Shaohua Lin Thomas Wu ABSTRACT

More information

EE 410/510: Electromechanical Systems Chapter 4

EE 410/510: Electromechanical Systems Chapter 4 EE 410/510: Electromechanical Systems Chapter 4 Chapter 4. Direct Current Electric Machines and Motion Devices Permanent Magnet DC Electric Machines Radial Topology Simulation and Experimental Studies

More information

Electromagnetics and Electric Machines Stefan Holst, CD-adapco

Electromagnetics and Electric Machines Stefan Holst, CD-adapco Electromagnetics and Electric Machines Stefan Holst, CD-adapco Overview Electric machines intro Designing electric machines with SPEED Links to STAR-CCM+ for thermal modeling Electromagnetics in STAR-CCM+

More information

ECEN 667 Power System Stability Lecture 15: PIDs, Governors, Transient Stability Solutions

ECEN 667 Power System Stability Lecture 15: PIDs, Governors, Transient Stability Solutions ECEN 667 Power System Stability Lecture 15: PIDs, Governors, Transient Stability Solutions Prof. Tom Overbye Dept. of Electrical and Computer Engineering Texas A&M University, overbye@tamu.edu 1 Announcements

More information

Generalized Theory of Electrical Machines- A Review

Generalized Theory of Electrical Machines- A Review Generalized Theory of Electrical Machines- A Review Dr. Sandip Mehta Department of Electrical and Electronics Engineering, JIET Group of Institutions, Jodhpur Abstract:-This paper provides an overview

More information

Lecture 1: Induction Motor

Lecture 1: Induction Motor 1 / 22 Lecture 1: Induction Motor ELEC-E8402 Control of Electric Drives and Power Converters (5 ECTS) Marko Hinkkanen Aalto University School of Electrical Engineering Spring 2016 2 / 22 Learning Outcomes

More information

Independent Control of Speed and Torque in a Vector Controlled Induction Motor Drive using Predictive Current Controller and SVPWM

Independent Control of Speed and Torque in a Vector Controlled Induction Motor Drive using Predictive Current Controller and SVPWM Independent Control of Speed and Torque in a Vector Controlled Induction Motor Drive using Predictive Current Controller and SVPWM Vandana Peethambaran 1, Dr.R.Sankaran 2 Assistant Professor, Dept. of

More information

ELECTRICALMACHINES-I QUESTUION BANK

ELECTRICALMACHINES-I QUESTUION BANK ELECTRICALMACHINES-I QUESTUION BANK UNIT-I INTRODUCTION OF MAGNETIC MATERIAL PART A 1. What are the three basic rotating Electric machines? 2. Name the three materials used in machine manufacture. 3. What

More information

Chapter 4. Synchronous Generators. Basic Topology

Chapter 4. Synchronous Generators. Basic Topology Basic Topology Chapter 4 ynchronous Generators In stator, a three-phase winding similar to the one described in chapter 4. ince the main voltage is induced in this winding, it is also called armature winding.

More information

Electrical Machines and Energy Systems: Operating Principles (Part 2) SYED A Rizvi

Electrical Machines and Energy Systems: Operating Principles (Part 2) SYED A Rizvi Electrical Machines and Energy Systems: Operating Principles (Part 2) SYED A Rizvi AC Machines Operating Principles: Synchronous Motor In synchronous motors, the stator of the motor has a rotating magnetic

More information

Doubly salient reluctance machine or, as it is also called, switched reluctance machine. [Pyrhönen et al 2008]

Doubly salient reluctance machine or, as it is also called, switched reluctance machine. [Pyrhönen et al 2008] Doubly salient reluctance machine or, as it is also called, switched reluctance machine [Pyrhönen et al 2008] Pros and contras of a switched reluctance machine Advantages Simple robust rotor with a small

More information

Generators. What its all about

Generators. What its all about Generators What its all about How do we make a generator? Synchronous Operation Rotor Magnetic Field Stator Magnetic Field Forces and Magnetic Fields Force Between Fields Motoring Generators & motors are

More information

Decoupling control for aircraft brushless wound-rotor synchronous starter-generator in the starting mode

Decoupling control for aircraft brushless wound-rotor synchronous starter-generator in the starting mode The 4th International Symposium on More Electric Aircraft Technology (MEA 2017) 8 9 November 2017 Decoupling control for aircraft brushless wound-rotor synchronous starter-generator in the starting mode

More information

(Refer Slide Time: 00:55) Friends, today we shall continue to study about the modelling of synchronous machine. (Refer Slide Time: 01:09)

(Refer Slide Time: 00:55) Friends, today we shall continue to study about the modelling of synchronous machine. (Refer Slide Time: 01:09) (Refer Slide Time: 00:55) Power System Dynamics Prof. M. L. Kothari Department of Electrical Engineering Indian Institute of Technology, Delhi Lecture - 09 Modelling of Synchronous Machine (Contd ) Friends,

More information

EE 742 Chapter 3: Power System in the Steady State. Y. Baghzouz

EE 742 Chapter 3: Power System in the Steady State. Y. Baghzouz EE 742 Chapter 3: Power System in the Steady State Y. Baghzouz Transmission Line Model Distributed Parameter Model: Terminal Voltage/Current Relations: Characteristic impedance: Propagation constant: π

More information

Step Motor Modeling. Step Motor Modeling K. Craig 1

Step Motor Modeling. Step Motor Modeling K. Craig 1 Step Motor Modeling Step Motor Modeling K. Craig 1 Stepper Motor Models Under steady operation at low speeds, we usually do not need to differentiate between VR motors and PM motors (a hybrid motor is

More information

LECTURE 6 MUTUAL INDUCTANCE

LECTURE 6 MUTUAL INDUCTANCE ECE 330 POWER CIRCUITS AND ELECTROMECHANICS LECTURE 6 MUTUAL INDUCTANCE Acknowledgment-These handouts and lecture notes given in class are based on material from Prof. Peter Sauer s ECE 330 lecture notes.

More information

Modeling Free Acceleration of a Salient Synchronous Machine Using Two-Axis Theory

Modeling Free Acceleration of a Salient Synchronous Machine Using Two-Axis Theory 1 Modeling ree Acceleration of a Salient Synchronous Machine Using Two-Axis Theory Abdullah H. Akca and Lingling an, Senior Member, IEEE Abstract This paper investigates a nonlinear simulation model of

More information

EE155/255 Green Electronics

EE155/255 Green Electronics EE155/255 Green Electronics Electric Motors 10/16/17 Prof. William Dally Computer Systems Laboratory Stanford University Course Logistics Solar day is Monday 10/23 HW 3 is due today HW 4 out, due next

More information

Control Theory. Noel Welsh. 26 October Noel Welsh () Control Theory 26 October / 17

Control Theory. Noel Welsh. 26 October Noel Welsh () Control Theory 26 October / 17 Control Theory Noel Welsh 26 October 2010 Noel Welsh () Control Theory 26 October 2010 1 / 17 Announcements Assignments were due on Monday, except for one team that has an extension. Marking will be delayed

More information

Texas A & M University Department of Mechanical Engineering MEEN 364 Dynamic Systems and Controls Dr. Alexander G. Parlos

Texas A & M University Department of Mechanical Engineering MEEN 364 Dynamic Systems and Controls Dr. Alexander G. Parlos Texas A & M University Department of Mechanical Engineering MEEN 364 Dynamic Systems and Controls Dr. Alexander G. Parlos Lecture 6: Modeling of Electromechanical Systems Principles of Motor Operation

More information

Basic Electrical Engineering SYLLABUS. Total No. of Lecture Hrs. : 50 Exam Marks : 80

Basic Electrical Engineering SYLLABUS. Total No. of Lecture Hrs. : 50 Exam Marks : 80 SYLLABUS Subject Code: /25 No. of Lecture Hrs./ Week : 04 IA Marks : 20 Exam Hours : 03 Total No. of Lecture Hrs. : 50 Exam Marks : 80 Course objectives: Impart a basic knowledge of electrical quantities

More information

Mathematical Modelling of Permanent Magnet Synchronous Motor with Rotor Frame of Reference

Mathematical Modelling of Permanent Magnet Synchronous Motor with Rotor Frame of Reference Mathematical Modelling of Permanent Magnet Synchronous Motor with Rotor Frame of Reference Mukesh C Chauhan 1, Hitesh R Khunt 2 1 P.G Student (Electrical),2 Electrical Department, AITS, rajkot 1 mcchauhan1@aits.edu.in

More information

From now, we ignore the superbar - with variables in per unit. ψ ψ. l ad ad ad ψ. ψ ψ ψ

From now, we ignore the superbar - with variables in per unit. ψ ψ. l ad ad ad ψ. ψ ψ ψ From now, we ignore the superbar - with variables in per unit. ψ 0 L0 i0 ψ L + L L L i d l ad ad ad d ψ F Lad LF MR if = ψ D Lad MR LD id ψ q Ll + Laq L aq i q ψ Q Laq LQ iq 41 Equivalent Circuits for

More information

Control of Wind Turbine Generators. James Cale Guest Lecturer EE 566, Fall Semester 2014 Colorado State University

Control of Wind Turbine Generators. James Cale Guest Lecturer EE 566, Fall Semester 2014 Colorado State University Control of Wind Turbine Generators James Cale Guest Lecturer EE 566, Fall Semester 2014 Colorado State University Review from Day 1 Review Last time, we started with basic concepts from physics such as

More information

Revision Guide for Chapter 15

Revision Guide for Chapter 15 Revision Guide for Chapter 15 Contents Revision Checklist Revision otes Transformer...4 Electromagnetic induction...4 Lenz's law...5 Generator...6 Electric motor...7 Magnetic field...9 Magnetic flux...

More information

Determination of a Synchronous Generator Characteristics via Finite Element Analysis

Determination of a Synchronous Generator Characteristics via Finite Element Analysis SERBIAN JOURNAL OF ELECTRICAL ENGINEERING Vol. 2, No. 2, November 25, 157-162 Determination of a Synchronous Generator Characteristics via Finite Element Analysis Zlatko Kolondzovski 1, Lidija Petkovska

More information

MATHEMATICAL MODELING OF OPEN LOOP PMDC MOTOR USING MATLAB/SIMULINK

MATHEMATICAL MODELING OF OPEN LOOP PMDC MOTOR USING MATLAB/SIMULINK MATHEMATICAL MODELING OF OPEN LOOP PMDC MOTOR USING MATLAB/SIMULINK 1 Mr.Dhaval K.Patel 1 Assistant Professor, Dept. of Electrical Engineering. Gidc Degree Engineering College Abrama, Navsari. ABSTRACT:

More information

Chapter 5 Three phase induction machine (1) Shengnan Li

Chapter 5 Three phase induction machine (1) Shengnan Li Chapter 5 Three phase induction machine (1) Shengnan Li Main content Structure of three phase induction motor Operating principle of three phase induction motor Rotating magnetic field Graphical representation

More information

2002 Prentice Hall, Inc. Gene F. Franklin, J. David Powell, Abbas Emami-Naeini Feedback Control of Dynamic Systems, 4e

2002 Prentice Hall, Inc. Gene F. Franklin, J. David Powell, Abbas Emami-Naeini Feedback Control of Dynamic Systems, 4e u Figure 2.1 Cruise-control model x Friction force bx m x u Figure 2.2 Free-body diagram for cruise control S P 278 Figure 2.3 Automobile suspension y m 2 k s b v car x m 1 k w Road surface r Inertial

More information

Equal Pitch and Unequal Pitch:

Equal Pitch and Unequal Pitch: Equal Pitch and Unequal Pitch: Equal-Pitch Multiple-Stack Stepper: For each rotor stack, there is a toothed stator segment around it, whose pitch angle is identical to that of the rotor (θs = θr). A stator

More information

NEPTUNE -code: KAUVG11ONC Prerequisites:... Knowledge description:

NEPTUNE -code: KAUVG11ONC Prerequisites:... Knowledge description: Subject name: Electrical Machines Credits: 9 Requirement : Course director: Dr. Vajda István Position: Assessment and verification procedures: NEPTUNE -code: KAUVG11ONC Prerequisites:... Number of hours:

More information

Modeling and Analysis of Dynamic Systems

Modeling and Analysis of Dynamic Systems Modeling and Analysis of Dynamic Systems by Dr. Guillaume Ducard Fall 2016 Institute for Dynamic Systems and Control ETH Zurich, Switzerland 1/22 Outline 1 Lecture 5: Hydraulic Systems Pelton Turbine:

More information

AN EFFICIENT APPROACH FOR ANALYSIS OF ISOLATED SELF EXCITED INDUCTION GENERATOR

AN EFFICIENT APPROACH FOR ANALYSIS OF ISOLATED SELF EXCITED INDUCTION GENERATOR AN EFFICIENT APPROACH FOR ANALYSIS OF ISOLATED SELF EXCITED INDUCTION GENERATOR Deepika 1, Pankaj Mehara Assistant Professor, Dept. of EE, DCRUST, Murthal, India 1 PG Student, Dept. of EE, DCRUST, Murthal,

More information

Nonlinear dynamic simulation model of switched reluctance linear machine

Nonlinear dynamic simulation model of switched reluctance linear machine Procedia Earth and Planetary Science 1 (2009) 1320 1324 Procedia Earth and Planetary Science www.elsevier.com/locate/procedia The 6 th International Conference on Mining Science & Technology Nonlinear

More information

Synergetic Control for Electromechanical Systems

Synergetic Control for Electromechanical Systems Synergetic Control for Electromechanical Systems Anatoly A. Kolesnikov, Roger Dougal, Guennady E. Veselov, Andrey N. Popov, Alexander A. Kolesnikov Taganrog State University of Radio-Engineering Automatic

More information

Dynamic Modeling of Surface Mounted Permanent Synchronous Motor for Servo motor application

Dynamic Modeling of Surface Mounted Permanent Synchronous Motor for Servo motor application 797 Dynamic Modeling of Surface Mounted Permanent Synchronous Motor for Servo motor application Ritu Tak 1, Sudhir Y Kumar 2, B.S.Rajpurohit 3 1,2 Electrical Engineering, Mody University of Science & Technology,

More information

2016 Kappa Electronics Motor Control Training Series Kappa Electronics LLC. -V th. Dave Wilson Co-Owner Kappa Electronics.

2016 Kappa Electronics Motor Control Training Series Kappa Electronics LLC. -V th. Dave Wilson Co-Owner Kappa Electronics. 2016 Kappa Electronics Motor Control Training Series 2016 Kappa Electronics C V th CoOwner Kappa Electronics www.kappaiq.com Benefits of Field Oriented Control NewtonMeters Maximum Torque Per Amp (MTPA)

More information

Module 3 : Sequence Components and Fault Analysis

Module 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 information

EXPERIMENTAL COMPARISON OF LAMINATION MATERIAL CASE OF SWITCHING FLUX SYNCHRONOUS MACHINE WITH HYBRID EXCITATION

EXPERIMENTAL COMPARISON OF LAMINATION MATERIAL CASE OF SWITCHING FLUX SYNCHRONOUS MACHINE WITH HYBRID EXCITATION EXPERIMENTAL COMPARISON OF LAMINATION MATERIAL CASE OF SWITCHING FLUX SYNCHRONOUS MACHINE WITH HYBRID EXCITATION Emmanuel Hoang, Sami Hlioui, Michel Lécrivain, Mohamed Gabsi To cite this version: Emmanuel

More information

Transient Stability Analysis with PowerWorld Simulator

Transient Stability Analysis with PowerWorld Simulator Transient Stability Analysis with PowerWorld Simulator T1: Transient Stability Overview, Models and Relationships 2001 South First Street Champaign, Illinois 61820 +1 (217) 384.6330 support@powerworld.com

More information

Definition Application of electrical machines Electromagnetism: review Analogies between electric and magnetic circuits Faraday s Law Electromagnetic

Definition Application of electrical machines Electromagnetism: review Analogies between electric and magnetic circuits Faraday s Law Electromagnetic Definition Application of electrical machines Electromagnetism: review Analogies between electric and magnetic circuits Faraday s Law Electromagnetic Force Motor action Generator action Types and parts

More information

IEEE Transactions on Applied Superconductivity. Copyright IEEE.

IEEE Transactions on Applied Superconductivity. Copyright IEEE. Title Loss analysis of permanent magnet hybrid brushless machines with and without HTS field windings Author(s) Liu, C; Chau, KT; Li, W Citation The 21st International Conference on Magnet Technology,

More information

JRE SCHOOL OF Engineering

JRE SCHOOL OF Engineering JRE SCHOOL OF Engineering Class Test-1 Examinations September 2014 Subject Name Electromechanical Energy Conversion-II Subject Code EEE -501 Roll No. of Student Max Marks 30 Marks Max Duration 1 hour Date

More information

ELECTRIC MACHINE TORQUE PRODUCTION 101

ELECTRIC MACHINE TORQUE PRODUCTION 101 ELECTRIC MACHINE TORQUE PRODUCTION 101 Best Electric Machine, 014 INTRODUCTION: The following discussion will show that the symmetrical (or true dual-ported) transformer electric machine as only provided

More information

(Refer Slide Time: 00:01:30 min)

(Refer Slide Time: 00:01:30 min) Control Engineering Prof. M. Gopal Department of Electrical Engineering Indian Institute of Technology, Delhi Lecture - 3 Introduction to Control Problem (Contd.) Well friends, I have been giving you various

More information

Saliency torque and V -curve of permanent-magnet-excited

Saliency torque and V -curve of permanent-magnet-excited No. 6] Proc. Japan Acad., 76, Ser. B (2000) 77 Saliency torque and V -curve of permanent-magnet-excited synchronous motor (Contributed By Sakae YAMAMURA, M. J. A. by Sakae YAMAMURA, M.J.A., June 13, 2000)

More information

Proposal of short armature core double-sided transverse flux type linear synchronous motor

Proposal of short armature core double-sided transverse flux type linear synchronous motor Proposal of short armature core double-sided transverse flux type linear synchronous motor Shin Jung-Seob a, Takafumi Koseki a and Kim Houng-Joong b a The University of Tokyo, Engineering Building #2 12F,7-3-1

More information

In these notes, we will address (2) and then return to (1) in the next class.

In these notes, we will address (2) and then return to (1) in the next class. Linearized Analysis of the Synchronous Machine for PSS Chapter 6 does two basic things:. Shows how to linearize the 7-state model (model #2, IEEE #2., called full model without G-cct. ) of a synchronous

More information

Tutorial 1 (EMD) Rotary field winding

Tutorial 1 (EMD) Rotary field winding Tutorial 1 (EMD) Rotary field winding The unchorded two-layer three-phase winding of a small synchronous fan drive for a computer has the following parameters: number of slots per pole and phase q = 1,

More information

EE155/255 Green Electronics

EE155/255 Green Electronics EE155/255 Green Electronics Electric Motors 10/19/16 Prof. William Dally Computer Systems Laboratory Stanford University This week is flipped Course Logistics Discussion on 10/17, Motors on 10/19, Isolated

More information

(a) Torsional spring-mass system. (b) Spring element.

(a) Torsional spring-mass system. (b) Spring element. m v s T s v a (a) T a (b) T a FIGURE 2.1 (a) Torsional spring-mass system. (b) Spring element. by ky Wall friction, b Mass M k y M y r(t) Force r(t) (a) (b) FIGURE 2.2 (a) Spring-mass-damper system. (b)

More information

7. Transient stability

7. Transient stability 1 7. Transient stability In AC power system, each generator is to keep phase relationship according to the relevant power flow, i.e. for a certain reactance X, the both terminal voltages V1and V2, and

More information

Electrical Machines and Energy Systems: Operating Principles (Part 1) SYED A Rizvi

Electrical Machines and Energy Systems: Operating Principles (Part 1) SYED A Rizvi Electrical Machines and Energy Systems: Operating Principles (Part 1) SYED A Rizvi AC Machines Operating Principles: Rotating Magnetic Field The key to the functioning of AC machines is the rotating magnetic

More information

Accurate Joule Loss Estimation for Rotating Machines: An Engineering Approach

Accurate Joule Loss Estimation for Rotating Machines: An Engineering Approach Accurate Joule Loss Estimation for Rotating Machines: An Engineering Approach Adeeb Ahmed Department of Electrical and Computer Engineering North Carolina State University Raleigh, NC, USA aahmed4@ncsu.edu

More information

INDUCTION MOTOR MODEL AND PARAMETERS

INDUCTION MOTOR MODEL AND PARAMETERS APPENDIX C INDUCTION MOTOR MODEL AND PARAMETERS C.1 Dynamic Model of the Induction Motor in Stationary Reference Frame A three phase induction machine can be represented by an equivalent two phase machine

More information

SPEED CONTROL OF PMSM BY USING DSVM -DTC TECHNIQUE

SPEED CONTROL OF PMSM BY USING DSVM -DTC TECHNIQUE SPEED CONTROL OF PMSM BY USING DSVM -DTC TECHNIQUE J Sinivas Rao #1, S Chandra Sekhar *2, T Raghu #3 1 Asst Prof, Dept Of EEE, Anurag Engineering College, AP, INDIA 3 Asst Prof, Dept Of EEE, Anurag Engineering

More information

CHAPTER 6 STEADY-STATE ANALYSIS OF SINGLE-PHASE SELF-EXCITED INDUCTION GENERATORS

CHAPTER 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 information

Electromagnetic Energy Conversion Exam 98-Elec-A6 Spring 2002

Electromagnetic Energy Conversion Exam 98-Elec-A6 Spring 2002 Front Page Electromagnetic Energy Conversion Exam 98-Elec-A6 Spring 2002 Notes: Attempt question 1 and FOUR (4) other questions (FVE (5) questions in all). Unless you indicate otherwise, the first five

More information

Motor Info on the WWW Motorola Motors DC motor» /MOTORDCTUT.

Motor Info on the WWW Motorola Motors DC motor»   /MOTORDCTUT. Motor Info on the WWW Motorola Motors DC motor» http://www.freescale.com/files/microcontrollers/doc/train_ref_material /MOTORDCTUT.html Brushless DC motor» http://www.freescale.com/files/microcontrollers/doc/train_ref_material

More information

MATLAB SIMULINK Based DQ Modeling and Dynamic Characteristics of Three Phase Self Excited Induction Generator

MATLAB SIMULINK Based DQ Modeling and Dynamic Characteristics of Three Phase Self Excited Induction Generator 628 Progress In Electromagnetics Research Symposium 2006, Cambridge, USA, March 26-29 MATLAB SIMULINK Based DQ Modeling and Dynamic Characteristics of Three Phase Self Excited Induction Generator A. Kishore,

More information

POWER SYSTEM STABILITY AND CONTROL

POWER SYSTEM STABILITY AND CONTROL POWER SYSTEM STABILITY AND CONTROL P. KUNDUR Vice-President, Power Engineering Powertech Labs Inc., Surrey, British Columbia Formerly Manager Analytical Methods and Specialized Studies Department Power

More information

Finite Element Analysis of Hybrid Excitation Axial Flux Machine for Electric Cars

Finite Element Analysis of Hybrid Excitation Axial Flux Machine for Electric Cars 223 Finite Element Analysis of Hybrid Excitation Axial Flux Machine for Electric Cars Pelizari, A. ademir.pelizari@usp.br- University of Sao Paulo Chabu, I.E. ichabu@pea.usp.br - University of Sao Paulo

More information

Research on Permanent Magnet Linear Synchronous Motor Control System Simulation *

Research on Permanent Magnet Linear Synchronous Motor Control System Simulation * Available online at www.sciencedirect.com AASRI Procedia 3 (2012 ) 262 269 2012 AASRI Conference on Modeling, Identification and Control Research on Permanent Magnet Linear Synchronous Motor Control System

More information

Modeling of Permanent Magnet Synchronous Generator for Wind Energy Conversion System

Modeling of Permanent Magnet Synchronous Generator for Wind Energy Conversion System Modeling of Permanent Magnet Synchronous Generator for Wind Energy Conversion System T.SANTHANA KRISHNAN Assistant Professor (SG), Dept of Electrical & Electronics, Rajalakshmi Engineering College, Tamilnadu,

More information

LAB REPORT: THREE-PHASE INDUCTION MACHINE

LAB REPORT: THREE-PHASE INDUCTION MACHINE LAB REPORT: THREE-PHASE INDUCTION MACHINE ANDY BENNETT 1. Summary This report details the operation, modelling and characteristics of a three-phase induction machine. It attempts to provide a concise overview

More information

Digital Control of Permanent Magnet Synchronous Motors

Digital Control of Permanent Magnet Synchronous Motors Digital Control of Permanent Magnet Synchronous Motors Krisztián LAMÁR BUDAPEST TECH Polytechnical Institution, Hungary Kandó Kálmán Faculty of Electrical Engineering, Institute of Automation Lamar.Krisztian@kvk.bmf.hu

More information

ECEN 460 Exam 1 Fall 2018

ECEN 460 Exam 1 Fall 2018 ECEN 460 Exam 1 Fall 2018 Name: KEY UIN: Section: Score: Part 1 / 40 Part 2 / 0 Part / 0 Total / 100 This exam is 75 minutes, closed-book, closed-notes. A standard calculator and one 8.5 x11 note sheet

More information

Prof. S.K. Saha. Sensors 1. Lecture 5 June 11, Prof. S.K. Saha. Purpose Classification Internal Sensors. External Sensors.

Prof. S.K. Saha. Sensors 1. Lecture 5 June 11, Prof. S.K. Saha. Purpose Classification Internal Sensors. External Sensors. Lecture 5 June 11, 2009 Sensors Prof. S.K. Saha Dept. of Mech. Eng. IIT Delhi Announcement Outlines of slides in Lectures 1-4 on May 15, 18, 21, June 01, 2009, respectively, are available from: http://web.iitd.ac.in/~saha/

More information

Direct Flux Vector Control Of Induction Motor Drives With Maximum Efficiency Per Torque

Direct Flux Vector Control Of Induction Motor Drives With Maximum Efficiency Per Torque Direct Flux Vector Control Of Induction Motor Drives With Maximum Efficiency Per Torque S. Rajesh Babu 1, S. Sridhar 2 1 PG Scholar, Dept. Of Electrical & Electronics Engineering, JNTUACEA, Anantapuramu,

More information

Generation, transmission and distribution, as well as power supplied to industrial and commercial customers uses a 3 phase system.

Generation, transmission and distribution, as well as power supplied to industrial and commercial customers uses a 3 phase system. Three-phase Circuits Generation, transmission and distribution, as well as power supplied to industrial and commercial customers uses a 3 phase system. Where 3 voltages are supplied of equal magnitude,

More information