Torque generation with Electrical Machines. Industrial Electrical Engineering and Automation Lund University, Sweden

Similar documents
Reactive Power Control of Doubly Fed Induction Generator based Wind Turbine

Mechanical design of IM. Torque Control of. Induction Machines... Slip ring rotor. Mathematical model. r r. Stator same as PMSM Rotor:

Chapter I Vector Analysis

CHAPTER 5 DESIGN OF SPEED CONTROLLER FOR CONVERTER FED PERMANENT MAGNET SYNCHRONOUS MOTOR DRIVE

Absolutely no collaboration allowed in any form

Lecture 9-3/8/10-14 Spatial Description and Transformation

11.1 Balanced Three Phase Voltage Sources

19.1 Electrical Potential Energy. Special Case 1. v B

E-Companion: Mathematical Proofs

ECE470 EXAM #3 SOLUTIONS SPRING Work each problem on the exam booklet in the space provided.

P a g e 5 1 of R e p o r t P B 4 / 0 9

Rigid Body Dynamics. CSE169: Computer Animation Instructor: Steve Rotenberg UCSD, Winter 2018

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9

2. Work each problem on the exam booklet in the space provided.


Executive Committee and Officers ( )

PMSM. Mechanical Design

Position and Speed Control. Industrial Electrical Engineering and Automation Lund University, Sweden

Chapter #2 EEE State Space Analysis and Controller Design

Assistant Professor: Zhou Yufeng. N , ,

7.5-Determinants in Two Variables

Integral Solutions of Non-Homogeneous Biquadratic Equation With Four Unknowns

COMP 465: Data Mining More on PageRank

Physics 15 Second Hour Exam

CHAPTER 6 : LITERATURE REVIEW

P E R E N C O - C H R I S T M A S P A R T Y

Tutorial 5 Drive dynamics & control

Chapter 28 Sources of Magnetic Field

PHYS 2421 Fields and Waves

Chapter 2: Descriptive Statistics

CBSE SAMPLE PAPER SOLUTIONS CLASS-XII MATHS SET-2 CBSE , ˆj. cos. SECTION A 1. Given that a 2iˆ ˆj. We need to find

Week 10: DTMC Applications Ranking Web Pages & Slotted ALOHA. Network Performance 10-1

EE8412 Advanced AC Drive Systems. Topic 6 Field Oriented control (FOC)

Design of a Controller for Load Frequency Control in a Power System

STD: XI MATHEMATICS Total Marks: 90. I Choose the correct answer: ( 20 x 1 = 20 ) a) x = 1 b) x =2 c) x = 3 d) x = 0

AGENDA REPORT. Payroll listing conforms to the approved budget except as noted and has been paid WILLIAM A HUSTON CITY MANAGER

P a g e 3 6 of R e p o r t P B 4 / 0 9

HEADLIGHT (w/daytime RUNNING LIGHT)

Physics 11b Lecture #11

VEKTORANALYS FLUX INTEGRAL LINE INTEGRAL. and. Kursvecka 2. Kapitel 4 5. Sidor 29 50

Capítulo. Three Dimensions

For this purpose, we need the following result:

Rotary motion

T h e C S E T I P r o j e c t

Empirical equations for electrical parameters of asymmetrical coupled microstrip lines

THIS PAGE DECLASSIFIED IAW E

Double fed asynchronous generator connected to an unbalanced electric grid

Sensorless A.C. Drive with Vector Controlled Synchronous Motor

Dymore User s Manual Two- and three dimensional dynamic inflow models

Parts Manual. EPIC II Critical Care Bed REF 2031

2. Elementary Linear Algebra Problems

Moments of Generalized Order Statistics from a General Class of Distributions

Data Structures. Element Uniqueness Problem. Hash Tables. Example. Hash Tables. Dana Shapira. 19 x 1. ) h(x 4. ) h(x 2. ) h(x 3. h(x 1. x 4. x 2.

Chapter 6 Plane Motion of Rigid Bodies

CHAPTER 18: ELECTRIC CHARGE AND ELECTRIC FIELD

VIII Dynamics of Systems of Particles


Newton-Raphson Based Computation of i d in the Field Weakening Region of IPM Motor Incorporating the Stator Resistance to Improve the Performance

Shaft Sensor-less FOC Control of an Induction Motor Using Neural Estimators

MATH section 2.7 Related Rates Page 1 of 7

Chapter Introduction to Partial Differential Equations

Years. Marketing without a plan is like navigating a maze; the solution is unclear.

School of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007

CBSE , ˆj. cos CBSE_2015_SET-1. SECTION A 1. Given that a 2iˆ ˆj. We need to find. 3. Consider the vector equation of the plane.

DYNAMICS VECTOR MECHANICS FOR ENGINEERS: Kinematics of Rigid Bodies in Three Dimensions. Seventh Edition CHAPTER

Effects of polarization on the reflected wave

PARAMETERS INFLUENCE ON THE CONTROL OF A PMSM

GCE AS and A Level MATHEMATICS FORMULA BOOKLET. From September Issued WJEC CBAC Ltd.

6.6 The Marquardt Algorithm

NUMERICAL MODELLING OF A CILIUM USING AN INTEGRAL EQUATION

PHY2053 Summer C 2013 Exam 1 Solutions

Chapter Linear Regression

Collection of Formulas

Multi-Electron Atoms-Helium

UNIVERSITÀ DI PISA. Math thbackground

Example 2: ( ) 2. $ s ' 9.11" 10 *31 kg ( )( 1" 10 *10 m) ( e)

Lecture 7: Angular Momentum, Hydrogen Atom

BINOMIAL THEOREM SOLUTION. 1. (D) n. = (C 0 + C 1 x +C 2 x C n x n ) (1+ x+ x 2 +.)

Chapter 25 Electric Potential

Chapter 17. Least Square Regression

IO Gender and natural history

defined on a domain can be expanded into the Taylor series around a point a except a singular point. Also, f( z)

Solution of Tutorial 5 Drive dynamics & control

Lecture 5 Single factor design and analysis

Absolute Specifications: A typical absolute specification of a lowpass filter is shown in figure 1 where:

Angular Momentum in Spherical Symmetry

10 m, so the distance from the Sun to the Moon during a solar eclipse is. The mass of the Sun, Earth, and Moon are = =

THIS PAGE DECLASSIFIED IAW EO IRIS u blic Record. Key I fo mation. Ma n: AIR MATERIEL COMM ND. Adm ni trative Mar ings.

From last times. MTE1 results. Quiz 1. GAUSS LAW for any closed surface. What is the Electric Flux? How to calculate Electric Flux?

EE 5337 Computational Electromagnetics (CEM)

Energy Dissipation Gravitational Potential Energy Power

Ans: In the rectangular loop with the assigned direction for i2: di L dt , (1) where (2) a) At t = 0, i1(t) = I1U(t) is applied and (1) becomes

Large scale magnetic field generation by accelerated particles in galactic medium

( ) D x ( s) if r s (3) ( ) (6) ( r) = d dr D x

Continuous Charge Distributions

176 5 t h Fl oo r. 337 P o ly me r Ma te ri al s

rect_patch_cavity.doc Page 1 of 12 Microstrip Antennas- Rectangular Patch Chapter 14 in Antenna Theory, Analysis and Design (4th Edition) by Balanis

ELECTRIC CURRENT IN CONDUCTORS CHAPTER - 32

EE 410/510: Electromechanical Systems Chapter 3

Transcription:

Toqe geneton wth Electcl Mchne Indtl Electcl Engneeng nd Atoton nd Unvet, Sweden

Toqe genetng phenoen Indtl Electcl Engneeng nd Atoton Condcto n gnetc feld Ion hpe n gnetc feld 3 Electottc 4 Pezotcton Mgnetotcton Mt Alül 9-toqe geneton

ne / ottng Mt Alül 9-toqe geneton Indtl Electcl Engneeng nd Atoton

Eneg dent Indtl Electcl Engneeng nd Atoton Mgnetc eneg dent : Electc eneg dent : B E 0 0 J J 3 3 Mt Alül 9-toqe geneton

Geoet IM DCM Mt Alül 9-toqe geneton SM M Indtl Electcl Engneeng nd Atoton

# of pole Indtl Electcl Engneeng nd Atoton S el = p ec T ech = p T el + e = d + e = d - S S - p(t) = el T el = p ec p T ec = ec T ec Mt Alül 9-toqe geneton

Snodl f & fl totl o totl Indtl Electcl Engneeng nd Atoton () (). Spepoton. Vecto Mt Alül 9-toqe geneton

MM, l & elctnce Indtl Electcl Engneeng nd Atoton 0 B ( ) l d whee = totl,vege = totl totl totl l tto tto length d Mt Alül 9-toqe geneton

S o f... Indtl Electcl Engneeng nd Atoton Mgnetc feld fo eneg tnfe Slent pole on one de (tto o oto) pole, bt cn be cled lte Snodl f-bton l=ntegl of fl dent elctnce = MM/l ow, we cete chne wth thee popete... Mt Alül 9-toqe geneton

The PM / PM chne Indtl Electcl Engneeng nd Atoton Stto oto Stto Mt Alül 9-toqe geneton S oto 0 Slent pole n the oto oto efeence fe (/) oto f nd tto f (nodl) elctnce nd Idel on (no gnetc tton effect)

Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton A gp gnetc eneg oto Stto ) n( ) co( gn W n co co

Toqe : Devtve of gnetc eneg Indtl Electcl Engneeng nd Atoton dw ec d T W gn W T - dw ec gn d Contnt,.e. no eneg ppled Cope to lne oveent (=dw/d o W=*)... Mt Alül 9-toqe geneton

Toqe : Coponent Indtl Electcl Engneeng nd Atoton T - o toqe dw gn d... Mgnetzed ongnetzed ongnetzed Mgnetzed Toqe defnedb eqton XX Mgnetzed Etenl gnetc feld geneted b Mt Alül 9-toqe geneton

Electcll gnetzed tto ( ) Indtl Electcl Engneeng nd Atoton n () 4 4 n n n 3,5,7,... () fndentl honc nbe of wndng tn Mt Alül 9-toqe geneton

Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Snodll bted wndng ( ) ) ( 3,5,7,... n n n n n

Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Toqe : epeed n fl nd f T n n co n n co j eebe: l=mm/elctnce Ipotnt conclon

Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Toqe : epeed n fl lnge nd f, eff eff eff j j,, Effectve nbe of tn, (to cete the fndentl f wve) eff eff eff eff T,,,, Ipotnt conclon

Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton l vecto, nd ndctnce... eff, eff, eff,

Phe Indtl Electcl Engneeng nd Atoton j j j j e e e Stton opeton: j co( t ) j n( t ) j Mt Alül 9-toqe geneton

Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton 3 Phe c b 3 3 3 3 3 b c

Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton ege ndctnce c c eff c b b eff b eff,,,

Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Stto voltge eqton c c c c c c b b b b b b d d d d d d d d +

Stto voltge n the Indtl Electcl Engneeng nd Atoton b c oto efeence fe d d d d j d Mt Alül 9-toqe geneton

Contol chllenge Indtl Electcl Engneeng nd Atoton Pot: Toqe Stto fl Powe fcto eld weenng Mt Alül 9-toqe geneton

DC Mchne contol Mt Alül 9-toqe geneton Indtl Electcl Engneeng nd Atoton

Wh DC? Indtl Electcl Engneeng nd Atoton Sple to contol Chep to podce bt onl de to effectve podcton nd lge ee. Mt Alül 9-toqe geneton

Mechncl degn:i Indtl Electcl Engneeng nd Atoton eld wndng f Cotton pole 0 Ate wndng Copenton wdnng Mt Alül 9-toqe geneton

Mechncl degn:ii A ( ) 0 Mt Alül 9-toqe geneton Indtl Electcl Engneeng nd Atoton

Mthetcl odel:i b Indtl Electcl Engneeng nd Atoton c d d d Mt Alül 9-toqe geneton d f T 0 d

Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Mthetcl odel:ii f f f f f f f f d f

Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Toqe Contol n n e e n n T T T ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( 0 * * * e ) ( ) ( ) *( ) ( ) *( ) *( 0 e n n T T T n n

eld weenng Indtl Electcl Engneeng nd Atoton e *, no f,, no no f, no, no e, ê f no PI * f * f Mt Alül 9-toqe geneton

Eple Indtl Electcl Engneeng nd Atoton Sgnl Geneto e ef ct e-contolle f* Udc ef ct ef -contolle ef ct f-contolle Udc b * 4Q level odlto Udc * Q level odlto Udc b b 4Q level nvete Udc v Q level nvete v vb f Tl DC Mchne T w e f P Mt Alül 9-toqe geneton