Absolutely no collaboration allowed in any form

Size: px
Start display at page:

Download "Absolutely no collaboration allowed in any form"

Transcription

1 Toy Fnl Exm poste toy, ue n one week Tke home, open notes exm Absolutely no collboton llowe n ny fom Instuctos wll not nswe ny uestons elte to exm solutons o soluton ppoches Questons fo clfcton shoul be sent ectly to the nstuctos eml, not poste to the blog Any clfctons of poblem sttements o coectons wll be poste pomptly on the couse blog Reew ngle clculton n AC moto Lst lectue toy: conclusons

2 PMSM: stey stte soluton b c n T m m m b c PMSM + + b + c 0 c b K 0 c b K Tg entty: sn b b 0 f 0, f 0 ctn b 3 sn 3 3 sn 3 sn K s I V sn sn M LI I V LI I V M m I P T 3

3 Powe Electoncs fo Electc De Vehcles Optons (U.S.) AC Leel : 0Vms AC AC Leel : 40Vms AC DC Chge Detn DC DC AC moto e V bttey, Lghts, Electoncs, HV to LV DC DC Acte blncng DC DC Achtectues, moelng n smultons of electc etns Anlyss, moelng, contol, n esgn of ehcle powe electoncs Bttey systems DC DC: etn conete, bttey cell blncng, chges AC moto e: mchne n 3 phse nete 3

4 System Achtectues, Moelng n Smultons Top-Leel EV Moel Top-leel moel of EV fo use n ECEN 507 couse. Dng cycle s elocty-s-tme pofle fo the ehcle, opetng on flt goun. De uses gs pel to tck the efeence elocty. Vehcle Spee D ng cy cle Ref eence Spee Toue commn (Gs & bke pels) Vehcle Montong m spees Foces In De moel Electc Vehcle Vef Ebt st Unt Coneson Scope Vehcle ynmcs, MATLAB/Smulnk moelng Hyb (HEV), plug n hyb (PHEV) n electc ehcles (EV) Rtng n szng of etn components 4

5 Enegy Stoge System (Bttey) An ntoucton to bttey electochemsty Types n chctestcs of bttey cells, enegy, powe, cycle lfe, clen lfe, t Cell chge/schge chctestcs, electcl ccut moelng Bttey mngement system, cell blncng Moelng n smultons of bttey systems Bttey ynmc moelng n contol e coee n IDEATE couses t UCCS ECE 570: Moelng, Smulton, n Ientfcton of Bttey Dynmcs (Fll) ECE 570: Bttey Mngement n Contol (Spng) 5

6 Bectonl DC DC Conete Intoucton to swtche moe powe conetes Stey stte opeton, nlyss n smultons Intoucton to powe semconucto swtchng eces: oes, IGBTs, MOSFETs Moelng of losses n effcency Aege ynmc moels Contol technues: cuent n oltge contol loops Smultons 6

7 AC Moto De An ntoucton to AC mchne opeton n moels Pemnent mgnet synchonous mchne Inucton mchne 3 phse DC to AC nete opeton n snusol moulton Moelng n contol n ottng efeence fme, Pk tnsfomton Smultons 7

8 Complete System Moel n Smultons Top-Leel EV Moel Top-leel moel of EV fo use n ECEN 507 couse. Dng cycle s elocty-s-tme pofle fo the ehcle, opetng on flt goun. De uses gs pel to tck the efeence elocty. Spee Vehcle Spee Toue commn (Gs & bke pels) spees Dng cycle Ref eence Spee Vehcle Montong m Foces In De moel Electc Vehcle Vef Ebt st Unt Coneson Scope Foces Integton of eelope subsystem moels nto complete ehcle moel System eluton n esgn consetons Inete cuent Bttey enegy 8

9 US06 e cycle complete system smulton 9

10 EV Moel Components Tmng Bttey DC DC Electc De Vehcle Physcl lmts /swtchng tnstons Swtchng peo Contol loops / e cycles 0

11 Contol loops Bttey: BMS DC DC: cuent n oltge loops Electc De: DQ contol cuent loop compenstos, I D n I Q efeence geneton De: Spee contol Chge: Cuent n oltge loops

12 Moel esons Moel Bttey DC DC Electc De Functonl Iel SOC ntegto Coneson to, ntegl contolle Iel nete n moto Functonl loss moel Detl L on moel, losses, hysteess, tme constnts Aege steystte, conucton n swtchng losses, bectonl Aege, ynmc (LC), cuent n oltge loops Effcency contous fo moto, constnt effcency fo nete PMSM moel wth DQ contol, ege nete moel Hechcl moelng n contol Moe etle moels use to lte functonl moels n nlyze component ntectons Contolle esgns typclly e couple ntectons between multple contol loops; etle moels cn be use to nlyze locl stblty

13 Vson: Renewble Souces + Bttey Electc Vehcles P chg Zeo GHG emssons, no petoleum Hgh effcences e fesble: >80% g to wheel Chllenges Bttey technology: t, cycle lfe, powe n enegy ensty Effcent, elbly n t effecte etn components Nee fo chgng nfstuctue Lmte P chg, long chge up tmes 3

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

Newton-Raphson Based Computation of i d in the Field Weakening Region of IPM Motor Incorporating the Stator Resistance to Improve the Performance Pge 1 o 6 Newton-Rphson Bse Computton o n the Fel Wekenng Regon o IPM Moto Incopotng the Stto Resstnce to Impove the Peomnce Shh Pevn 1, Z. S 1, n M. Ns Un, Seno Membe IEEE 1. Insttute o Mthemtcl Scences

More information

PHYS 2421 Fields and Waves

PHYS 2421 Fields and Waves PHYS 242 Felds nd Wves Instucto: Joge A. López Offce: PSCI 29 A, Phone: 747-7528 Textook: Unvesty Physcs e, Young nd Feedmn 23. Electc potentl enegy 23.2 Electc potentl 23.3 Clcultng electc potentl 23.4

More information

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

School of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007 School of Electicl nd Compute Engineeing, Conell Univesity ECE 303: Electomgnetic Fields nd Wves Fll 007 Homewok 4 Due on Sep. 1, 007 by 5:00 PM Reding Assignments: i) Review the lectue notes. ii) Relevnt

More information

6. Introduction to Transistor Amplifiers: Concepts and Small-Signal Model

6. Introduction to Transistor Amplifiers: Concepts and Small-Signal Model 6. ntoucton to anssto mples: oncepts an Small-Sgnal Moel Lectue notes: Sec. 5 Sea & Smth 6 th E: Sec. 5.4, 5.6 & 6.3-6.4 Sea & Smth 5 th E: Sec. 4.4, 4.6 & 5.3-5.4 EE 65, Wnte203, F. Najmaba Founaton o

More information

Energy Dissipation Gravitational Potential Energy Power

Energy Dissipation Gravitational Potential Energy Power Lectue 4 Chpte 8 Physics I 0.8.03 negy Dissiption Gvittionl Potentil negy Powe Couse wesite: http://fculty.uml.edu/andiy_dnylov/teching/physicsi Lectue Cptue: http://echo360.uml.edu/dnylov03/physicsfll.html

More information

Physics 11b Lecture #11

Physics 11b Lecture #11 Physics 11b Lectue #11 Mgnetic Fields Souces of the Mgnetic Field S&J Chpte 9, 3 Wht We Did Lst Time Mgnetic fields e simil to electic fields Only diffeence: no single mgnetic pole Loentz foce Moving chge

More information

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

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

More information

III. Electromechanical Energy Conversion

III. Electromechanical Energy Conversion . Electoancal Enegy Coneson Schematc epesentaton o an toancal enegy coneson ece coppe losses coe losses (el losses) ancal losses Deental enegy nput om tcal souce: W V t Rt e t t W net ancal enegy output

More information

Chapter I Vector Analysis

Chapter I Vector Analysis . Chpte I Vecto nlss . Vecto lgeb j It s well-nown tht n vecto cn be wtten s Vectos obe the followng lgebc ules: scl s ) ( j v v cos ) ( e Commuttv ) ( ssoctve C C ) ( ) ( v j ) ( ) ( ) ( ) ( (v) he lw

More information

(8) Gain Stage and Simple Output Stage

(8) Gain Stage and Simple Output Stage EEEB23 Electoncs Analyss & Desgn (8) Gan Stage and Smple Output Stage Leanng Outcome Able to: Analyze an example of a gan stage and output stage of a multstage amplfe. efeence: Neamen, Chapte 11 8.0) ntoducton

More information

PARAMETERS INFLUENCE ON THE CONTROL OF A PMSM

PARAMETERS INFLUENCE ON THE CONTROL OF A PMSM ISEF 007 - XIII Intentonl Symposum on Eletomgnet Fels n Mehtons, Eletl n Eleton Engneeng Pgue, Czeh Republ, Septembe 1-15, 007 PARAMETERS INFLUENCE ON THE CONTROL OF A PMSM M. P. Donsón Eletl Engneeng

More information

Sliding Mode Control of Surface-Mount Permanent-Magnet Synchronous Motor Based on Error Model with Unknown Load

Sliding Mode Control of Surface-Mount Permanent-Magnet Synchronous Motor Based on Error Model with Unknown Load JOURNAL OF SOFTWARE VOL. 6 NO. 5 MAY 0 89 Slng Moe Contol o SuaceMount PemanentMagnet Synchonous Moto Base on Eo Moel th Unknon Loa Baojun Wang Insttute o Inomaton Technology /Zhejang Insttute o Communcatons

More information

ALL QUESTIONS ARE WORTH 20 POINTS. WORK OUT FIVE PROBLEMS.

ALL QUESTIONS ARE WORTH 20 POINTS. WORK OUT FIVE PROBLEMS. GNRAL PHYSICS PH -3A (D. S. Mov) Test (/3/) key STUDNT NAM: STUDNT d #: -------------------------------------------------------------------------------------------------------------------------------------------

More information

Per-unitization and Equivalent Circuits

Per-unitization and Equivalent Circuits Pe-untzton n Eulent Ccuts 1. Nomlzton of oltge eutons We ese to nomlze the oltge eutons, tht s, we ese to expess them n pe-unt. The ntges of ong so e: The pe-unt system offes computtonl smplcty by elmntng

More information

Physics Exam II Chapters 25-29

Physics Exam II Chapters 25-29 Physcs 114 1 Exam II Chaptes 5-9 Answe 8 of the followng 9 questons o poblems. Each one s weghted equally. Clealy mak on you blue book whch numbe you do not want gaded. If you ae not sue whch one you do

More information

AP Physics C: Electricity and Magnetism

AP Physics C: Electricity and Magnetism 08 AP Physcs C: Electcty n Mgnetsm Fee-Response Questons 08 The College Bo. College Bo, Avnce Plcement Pogm, AP, AP Centl, n the con logo e egstee temks of the College Bo. Vst the College Bo on the Web:

More information

Physics 1502: Lecture 2 Today s Agenda

Physics 1502: Lecture 2 Today s Agenda 1 Lectue 1 Phsics 1502: Lectue 2 Tod s Agend Announcements: Lectues posted on: www.phs.uconn.edu/~cote/ HW ssignments, solutions etc. Homewok #1: On Mstephsics this Fid Homewoks posted on Msteingphsics

More information

Part V: Velocity and Acceleration Analysis of Mechanisms

Part V: Velocity and Acceleration Analysis of Mechanisms Pat V: Velocty an Acceleaton Analyss of Mechansms Ths secton wll evew the most common an cuently pactce methos fo completng the knematcs analyss of mechansms; escbng moton though velocty an acceleaton.

More information

6.6 The Marquardt Algorithm

6.6 The Marquardt Algorithm 6.6 The Mqudt Algothm lmttons of the gdent nd Tylo expnson methods ecstng the Tylo expnson n tems of ch-sque devtves ecstng the gdent sech nto n tetve mtx fomlsm Mqudt's lgothm utomtclly combnes the gdent

More information

General Theory of Electric Machines 2017 Shiraz University of Technology Dr. A. Rahideh

General Theory of Electric Machines 2017 Shiraz University of Technology Dr. A. Rahideh In The ame o Go The Mot Compaonate, The Mot Mecul Geneal Theoy o Electc Machne 7 Shaz Unety o Technoloy D. A. Raheh Tale o Content. Intoucton. Tanome. Reeence Fame Theoy 4. Inucton Machne 5. Synchonou

More information

Previously. Extensions to backstepping controller designs. Tracking using backstepping Suppose we consider the general system

Previously. Extensions to backstepping controller designs. Tracking using backstepping Suppose we consider the general system 436-459 Advnced contol nd utomtion Extensions to bckstepping contolle designs Tcking Obseves (nonline dmping) Peviously Lst lectue we looked t designing nonline contolles using the bckstepping technique

More information

Uniform Circular Motion

Uniform Circular Motion Unfom Ccul Moton Unfom ccul Moton An object mong t constnt sped n ccle The ntude of the eloct emns constnt The decton of the eloct chnges contnuousl!!!! Snce cceleton s te of chnge of eloct:!! Δ Δt The

More information

This immediately suggests an inverse-square law for a "piece" of current along the line.

This immediately suggests an inverse-square law for a piece of current along the line. Electomgnetic Theoy (EMT) Pof Rui, UNC Asheville, doctophys on YouTube Chpte T Notes The iot-svt Lw T nvese-sque Lw fo Mgnetism Compe the mgnitude of the electic field t distnce wy fom n infinite line

More information

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

Rigid Body Dynamics. CSE169: Computer Animation Instructor: Steve Rotenberg UCSD, Winter 2018 Rg Bo Dnmcs CSE169: Compute Anmton nstucto: Steve Roteneg UCSD, Wnte 2018 Coss Pouct k j Popetes of the Coss Pouct Coss Pouct c c c 0 0 0 c Coss Pouct c c c c c c 0 0 0 0 0 0 Coss Pouct 0 0 0 ˆ ˆ 0 0 0

More information

Optimization. x = 22 corresponds to local maximum by second derivative test

Optimization. x = 22 corresponds to local maximum by second derivative test Optimiztion Lectue 17 discussed the exteme vlues of functions. This lectue will pply the lesson fom Lectue 17 to wod poblems. In this section, it is impotnt to emembe we e in Clculus I nd e deling one-vible

More information

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

Mechanical design of IM. Torque Control of. Induction Machines... Slip ring rotor. Mathematical model. r r. Stator same as PMSM Rotor: Toqe ontol of Incton Machne... a copae to PMSM Intal Electcal Engneeng an Atoaton Mechancal egn of IM Stato ae a PMSM oto: at aln Won coppe /Slp ng Intal Electcal Engneeng an Atoaton n Unvety, Sween Nan

More information

Performance evaluation and analysis of EV air-conditioning system

Performance evaluation and analysis of EV air-conditioning system Wol Elet Vele Jounl Vol. 4 - ISSN 2032-3 - 20 WEVA Pge00019 Abstt EVS2 Senzen, Cn, Nov -9, 20 Pefomne evluton n nlyss of EV -ontonng system Po-Hsu Ln GVD Dvson, Automotve Rese n estng Cente, Cngu County,

More information

3.1 Magnetic Fields. Oersted and Ampere

3.1 Magnetic Fields. Oersted and Ampere 3.1 Mgnetic Fields Oested nd Ampee The definition of mgnetic induction, B Fields of smll loop (dipole) Mgnetic fields in mtte: ) feomgnetism ) mgnetiztion, (M ) c) mgnetic susceptiility, m d) mgnetic field,

More information

DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING FLUID MECHANICS III Solutions to Problem Sheet 3

DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING FLUID MECHANICS III Solutions to Problem Sheet 3 DEPATMENT OF CIVIL AND ENVIONMENTAL ENGINEEING FLID MECHANICS III Solutions to Poblem Sheet 3 1. An tmospheic vote is moelle s combintion of viscous coe otting s soli boy with ngul velocity Ω n n iottionl

More information

Electric Potential. and Equipotentials

Electric Potential. and Equipotentials Electic Potentil nd Euipotentils U Electicl Potentil Review: W wok done y foce in going fom to long pth. l d E dl F W dl F θ Δ l d E W U U U Δ Δ l d E W U U U U potentil enegy electic potentil Potentil

More information

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

School of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007 School of Electicl nd Compute Engineeing, Conell Univesity ECE 303: Electomgnetic Fields nd Wves Fll 007 Homewok 3 Due on Sep. 14, 007 by 5:00 PM Reding Assignments: i) Review the lectue notes. ii) Relevnt

More information

Continuous Charge Distributions

Continuous Charge Distributions Continuous Chge Distibutions Review Wht if we hve distibution of chge? ˆ Q chge of distibution. Q dq element of chge. d contibution to due to dq. Cn wite dq = ρ dv; ρ is the chge density. = 1 4πε 0 qi

More information

The calculation of the characteristic and non-characteristic harmonic current of the rectifying system

The calculation of the characteristic and non-characteristic harmonic current of the rectifying system The calculato of the chaactestc a o-chaactestc hamoc cuet of the ectfyg system Zhag Ruhua, u Shagag, a Luguag, u Zhegguo The sttute of Electcal Egeeg, Chese Acaemy of Sceces, ejg, 00080, Cha. Zhag Ruhua,

More information

THE MIND & THE SCIENCE OF SUCCESS - All rights reserved - - APPENDIX -

THE MIND & THE SCIENCE OF SUCCESS - All rights reserved - - APPENDIX - - APPENDIX - MAYARD S PROBLEM SOLVING METOD A sample o word problems rom hgh school (nd cycle) to college leel s used to llustrate ths smple method that can also be used n all grade leels. 4 smple steps

More information

Detection and Estimation Theory

Detection and Estimation Theory ESE 54 Detecton and Etmaton Theoy Joeph A. O Sullvan Samuel C. Sach Pofeo Electonc Sytem and Sgnal Reeach Laboatoy Electcal and Sytem Engneeng Wahngton Unvety 411 Jolley Hall 314-935-4173 (Lnda anwe) jao@wutl.edu

More information

Week 8. Topic 2 Properties of Logarithms

Week 8. Topic 2 Properties of Logarithms Week 8 Topic 2 Popeties of Logithms 1 Week 8 Topic 2 Popeties of Logithms Intoduction Since the esult of ithm is n eponent, we hve mny popeties of ithms tht e elted to the popeties of eponents. They e

More information

Physics 202, Lecture 2. Announcements

Physics 202, Lecture 2. Announcements Physcs 202, Lectue 2 Today s Topcs Announcements Electc Felds Moe on the Electc Foce (Coulomb s Law The Electc Feld Moton of Chaged Patcles n an Electc Feld Announcements Homewok Assgnment #1: WebAssgn

More information

Homework 3 MAE 118C Problems 2, 5, 7, 10, 14, 15, 18, 23, 30, 31 from Chapter 5, Lamarsh & Baratta. The flux for a point source is:

Homework 3 MAE 118C Problems 2, 5, 7, 10, 14, 15, 18, 23, 30, 31 from Chapter 5, Lamarsh & Baratta. The flux for a point source is: . Homewok 3 MAE 8C Poblems, 5, 7, 0, 4, 5, 8, 3, 30, 3 fom Chpte 5, msh & Btt Point souces emit nuetons/sec t points,,, n 3 fin the flux cuent hlf wy between one sie of the tingle (blck ot). The flux fo

More information

Course Updates. Reminders: 1) Assignment #8 available. 2) Chapter 28 this week.

Course Updates. Reminders: 1) Assignment #8 available. 2) Chapter 28 this week. Couse Updtes http://www.phys.hwii.edu/~vne/phys7-sp1/physics7.html Remindes: 1) Assignment #8 vilble ) Chpte 8 this week Lectue 3 iot-svt s Lw (Continued) θ d θ P R R θ R d θ d Mgnetic Fields fom long

More information

ELECTRO - MAGNETIC INDUCTION

ELECTRO - MAGNETIC INDUCTION NTRODUCTON LCTRO - MAGNTC NDUCTON Whenee mgnetic flu linked with cicuit chnges, n e.m.f. is induced in the cicuit. f the cicuit is closed, cuent is lso induced in it. The e.m.f. nd cuent poduced lsts s

More information

Ch.9. Electromagnetic Induction

Ch.9. Electromagnetic Induction PART Ch.9. Eectomgnetic nuction F. Mutu nuctnce between the Two Cicuits G. Exmpes of nuctnce Ccution H. Enegy Stoe in the Coi. Wok by Eectomgnetic Foce J. Ey Cuent n Skin Effect Yong-Jin Shin, Pofesso

More information

2 dependence in the electrostatic force means that it is also

2 dependence in the electrostatic force means that it is also lectc Potental negy an lectc Potental A scala el, nvolvng magntues only, s oten ease to wo wth when compae to a vecto el. Fo electc els not havng to begn wth vecto ssues woul be nce. To aange ths a scala

More information

Chapter 28 Sources of Magnetic Field

Chapter 28 Sources of Magnetic Field Chpte 8 Souces of Mgnetic Field - Mgnetic Field of Moving Chge - Mgnetic Field of Cuent Element - Mgnetic Field of Stight Cuent-Cying Conducto - Foce Between Pllel Conductos - Mgnetic Field of Cicul Cuent

More information

19.1 Electrical Potential Energy. Special Case 1. v B

19.1 Electrical Potential Energy. Special Case 1. v B 9. lectcl Potentl neg Specl Ce We elee tet chge between the plte o cpcto. Dung ome tme t moe om to B How e the ntl nd nl peed nd B elted? pp Sole th poblem b ung the concept o electcl potentl eneg B 9.

More information

U>, and is negative. Electric Potential Energy

U>, and is negative. Electric Potential Energy Electic Potentil Enegy Think of gvittionl potentil enegy. When the lock is moved veticlly up ginst gvity, the gvittionl foce does negtive wok (you do positive wok), nd the potentil enegy (U) inceses. When

More information

Lecture 18 - Eulerian Flow Modeling. Applied Computational Fluid Dynamics

Lecture 18 - Eulerian Flow Modeling. Applied Computational Fluid Dynamics Lecte 18 - Elen Flow Moelng Ale Comttonl Fl Dynmc Intcto: Ané Be htt://www.be.og Ané Be 2002-2006 Flent Inc. 2002 1 Content Ovevew of Elen-Elen mlthe moel. Stl vegng. Conevton eqton n contttve lw. Intehe

More information

(A) 6.32 (B) 9.49 (C) (D) (E) 18.97

(A) 6.32 (B) 9.49 (C) (D) (E) 18.97 Univesity of Bhin Physics 10 Finl Exm Key Fll 004 Deptment of Physics 13/1/005 8:30 10:30 e =1.610 19 C, m e =9.1110 31 Kg, m p =1.6710 7 Kg k=910 9 Nm /C, ε 0 =8.8410 1 C /Nm, µ 0 =4π10 7 T.m/A Pt : 10

More information

Lecture 5 Single factor design and analysis

Lecture 5 Single factor design and analysis Lectue 5 Sngle fcto desgn nd nlss Completel ndomzed desgn (CRD Completel ndomzed desgn In the desgn of expements, completel ndomzed desgns e fo studng the effects of one pm fcto wthout the need to tke

More information

Electricity & Magnetism Lecture 6: Electric Potential

Electricity & Magnetism Lecture 6: Electric Potential Electicity & Mgnetism Lectue 6: Electic Potentil Tody s Concept: Electic Potenl (Defined in tems of Pth Integl of Electic Field) Electicity & Mgnesm Lectue 6, Slide Stuff you sked bout:! Explin moe why

More information

Radial geodesics in Schwarzschild spacetime

Radial geodesics in Schwarzschild spacetime Rdil geodesics in Schwzschild spcetime Spheiclly symmetic solutions to the Einstein eqution tke the fom ds dt d dθ sin θdϕ whee is constnt. We lso hve the connection components, which now tke the fom using

More information

Lecture Set 6 Brushless DC Machines

Lecture Set 6 Brushless DC Machines Lectue Set 6 Bushless DC Machines S.D. Sudhoff Sping 2018 Reading Chapte 8, Electomechanical Motion Devices, 2 nd Edition 2 A Bushless DC Machine 3 Sample Applications Low Powe: Disk dive motos Medium

More information

The Shape of the Pair Distribution Function.

The Shape of the Pair Distribution Function. The Shpe of the P Dstbuton Functon. Vlentn Levshov nd.f. Thope Deptment of Phscs & stonom nd Cente fo Fundmentl tels Resech chgn Stte Unvest Sgnfcnt pogess n hgh-esoluton dffcton epements on powde smples

More information

Sensorless A.C. Drive with Vector Controlled Synchronous Motor

Sensorless A.C. Drive with Vector Controlled Synchronous Motor Seole A.C. Dve wth Vecto Cotolle Sychoo Moto Ořej Fše VŠB-echcal Uvety of Otava, Faclty of Electcal Egeeg a Ifomatc, Deatmet of Powe Electoc a Electcal Dve, 17.ltoa 15, 78 33 Otava-Poba, Czech eblc oej.fe@vb.cz

More information

Department of Electrical Engineering, University of Tiaret, Tiaret BP 078, Tiaret, Algeria

Department of Electrical Engineering, University of Tiaret, Tiaret BP 078, Tiaret, Algeria Jounal of Netwok an Innovatve Computng ISSN 6-74 Volume (4) pp. 58-65 MIR abs www.mlabs.net/jnc/nex.html A New Appoach Fuzzy-MRAS Spee Sensoless Slng moe Contol fo Inteo Pemanent-Magnet Machne Dve Khalfallah

More information

Traffic Signal Control. Signalized Intersection Analysis and Level of Service. Traffic Signal Control. Traffic Signal Control 11/4/2009

Traffic Signal Control. Signalized Intersection Analysis and Level of Service. Traffic Signal Control. Traffic Signal Control 11/4/2009 Sgnalze Intersecton nalyss an Leel of Serce CE3 Transportaton Engneerng Dr. hme bel-rahm Traffc Sgnal Control Pretme sgnal whose tmng (cycle length, green tme, an so on) s fxe oer specfe tme peros an oes

More information

4. Compare the electric force holding the electron in orbit ( r = 0.53

4. Compare the electric force holding the electron in orbit ( r = 0.53 Electostatics WS Electic Foce an Fiel. Calculate the magnitue of the foce between two 3.60-µ C point chages 9.3 cm apat.. How many electons make up a chage of 30.0 µ C? 3. Two chage ust paticles exet a

More information

Chapter 21: Electric Charge and Electric Field

Chapter 21: Electric Charge and Electric Field Chpte : lectc Chge nd lectc Feld lectc Chge Known b ncent Geeks s el s 600 BC Sttc electct: electc chge v fcton (see lso fg.) (Attempted) pth bll demo nd/o scotch tpe demo: knds of popetes objects wth

More information

Work, Potential Energy, Conservation of Energy. the electric forces are conservative: ur r

Work, Potential Energy, Conservation of Energy. the electric forces are conservative: ur r Wok, Potentil Enegy, Consevtion of Enegy the electic foces e consevtive: u Fd = Wok, Potentil Enegy, Consevtion of Enegy b b W = u b b Fdl = F()[ d + $ $ dl ] = F() d u Fdl = the electic foces e consevtive

More information

PHY 213. General Physics II Test 2.

PHY 213. General Physics II Test 2. Univesity of Kentucky Depatment of Physics an Astonomy PHY 3. Geneal Physics Test. Date: July, 6 Time: 9:-: Answe all questions. Name: Signatue: Section: Do not flip this page until you ae tol to o so.

More information

Rotational Kinematics. Rigid Object about a Fixed Axis Western HS AP Physics 1

Rotational Kinematics. Rigid Object about a Fixed Axis Western HS AP Physics 1 Rotatonal Knematcs Rgd Object about a Fxed Axs Westen HS AP Physcs 1 Leanng Objectes What we know Unfom Ccula Moton q s Centpetal Acceleaton : Centpetal Foce: Non-unfom a F c c m F F F t m ma t What we

More information

Answers to test yourself questions

Answers to test yourself questions Answes to test youself questions opic Descibing fields Gm Gm Gm Gm he net field t is: g ( d / ) ( 4d / ) d d Gm Gm Gm Gm Gm Gm b he net potentil t is: V d / 4d / d 4d d d V e 4 7 9 49 J kg 7 7 Gm d b E

More information

Mechatronic system design

Mechatronic system design Mechatonic system design Mechatonic system design wb2414 2013/2014 Couse pat 5 Motion contol Pof.i. R.H.Munnig Schmidt Mechatonic System Design 1 Lectue outline: What did you lean about PID motion contol

More information

When a mass moves because of a force, we can define several types of problem.

When a mass moves because of a force, we can define several types of problem. Mechanics Lectue 4 3D Foces, gadient opeato, momentum 3D Foces When a mass moves because of a foce, we can define seveal types of poblem. ) When we know the foce F as a function of time t, F=F(t). ) When

More information

8. Two Ion Interactions

8. Two Ion Interactions 8. Two on ntetons The moels of mgnet oe hve een se on mltonns of the fom on J J zw. Wht s the physl ogn of ths two on ntetons 8. Dpol nteton The ogn of lge moleul fels nnot e the wek mgnet pol nteton CD

More information

Vector Control. Application to Induction Motor Control. DSP in Motion Control - Seminar

Vector Control. Application to Induction Motor Control. DSP in Motion Control - Seminar Vecto Contol Application to Induction Moto Contol Vecto Contol - Pinciple The Aim of Vecto Contol is to Oient the Flux Poducing Component of the Stato Cuent to some Suitable Flux Vecto unde all Opeating

More information

Name: PHYS 110 Dr. McGovern Spring 2018 Exam 1. Multiple Choice: Circle the answer that best evaluates the statement or completes the statement.

Name: PHYS 110 Dr. McGovern Spring 2018 Exam 1. Multiple Choice: Circle the answer that best evaluates the statement or completes the statement. Name: PHYS 110 Dr. McGoern Sprng 018 Exam 1 Multple Choce: Crcle the answer that best ealuates the statement or completes the statement. #1 - I the acceleraton o an object s negate, the object must be

More information

LA0011_11GB. Formulas and Units. Rotation 2 W. W = work in Ws = J = Nm. = ang. velocity in rad./sec. f = frequency in rev./sec.

LA0011_11GB. Formulas and Units. Rotation 2 W. W = work in Ws = J = Nm. = ang. velocity in rad./sec. f = frequency in rev./sec. Tnsmission technicl clcultions Min Fomuls Size designtions nd units ccoding to the SI-units Line moement: s m/s t s t m s 1 m t m/s t P F W F m N Rottion ω π f d/s ω π f m/s M F P M ω W M J ω J ω W Ws

More information

Lesson 8: Work, Energy, Power (Sections ) Chapter 6 Conservation of Energy

Lesson 8: Work, Energy, Power (Sections ) Chapter 6 Conservation of Energy Lesson 8: Wok, negy, Powe (Sectons 6.-6.8) Chapte 6 Conseaton o negy Today we begn wth a ey useul concept negy. We wll encounte many amla tems that now hae ey specc dentons n physcs. Conseaton o enegy

More information

Calculate the electric potential at B d2=4 m Calculate the electric potential at A d1=3 m 3 m 3 m

Calculate the electric potential at B d2=4 m Calculate the electric potential at A d1=3 m 3 m 3 m MTE : Ch 13 5:3-7pm on Oct 31 ltenate Exams: Wed Ch 13 6:3pm-8:pm (people attending the altenate exam will not be allowed to go out of the oom while othes fom pevious exam ae still aound) Thu @ 9:-1:3

More information

Physics 11b Lecture #2. Electric Field Electric Flux Gauss s Law

Physics 11b Lecture #2. Electric Field Electric Flux Gauss s Law Physcs 11b Lectue # Electc Feld Electc Flux Gauss s Law What We Dd Last Tme Electc chage = How object esponds to electc foce Comes n postve and negatve flavos Conseved Electc foce Coulomb s Law F Same

More information

AP Physics C: Electricity and Magnetism 2010 Free-Response Questions

AP Physics C: Electricity and Magnetism 2010 Free-Response Questions AP Phyc C: Electcty n Mgnet Fee-Repone Queton The College Bo The College Bo not-fo-poft ebehp octon whoe on to connect tuent to college ucce n oppotunty. Foune n 9, the College Bo copoe of oe thn 5,7 chool,

More information

Density Functional Theory I

Density Functional Theory I Densty Functonal Theoy I cholas M. Hason Depatment of Chemsty Impeal College Lonon & Computatonal Mateals Scence Daesbuy Laboatoy ncholas.hason@c.ac.uk Densty Functonal Theoy I The Many Electon Schönge

More information

Winter 2004 OSU Sources of Magnetic Fields 1 Chapter 32

Winter 2004 OSU Sources of Magnetic Fields 1 Chapter 32 Winte 4 OSU 1 Souces Of Mgnetic Fields We lened two wys to clculte Electic Field Coulomb's Foce de 4 E da 1 dq Q enc ˆ ute Foce Clcultion High symmety Wht e the nlogous equtions fo the Mgnetic Field? Winte

More information

CIRCUITS 1 DEVELOP TOOLS FOR THE ANALYSIS AND DESIGN OF BASIC LINEAR ELECTRIC CIRCUITS

CIRCUITS 1 DEVELOP TOOLS FOR THE ANALYSIS AND DESIGN OF BASIC LINEAR ELECTRIC CIRCUITS CCUTS DEELOP TOOLS FO THE ANALYSS AND DESGN OF BASC LNEA ELECTC CCUTS ESSTE CCUTS Here we introduce the basic concepts and laws that are fundamental to circuit analysis LEANNG GOALS OHM S LAW - DEFNES

More information

Synchronous Generator Modeling Using SimuLink

Synchronous Generator Modeling Using SimuLink ynhronou Genertor Moelng Ung mun Outlne ner Moel Ung Eulent Crut ner Moel Ung Emee Mt Nonlner Moel Eulent Crut on Ax From we get m m l m t t m l r ) ( t t m l ) ( t t m l ) ( Eulent Crut on Ax From we

More information

Machine Learning. Spectral Clustering. Lecture 23, April 14, Reading: Eric Xing 1

Machine Learning. Spectral Clustering. Lecture 23, April 14, Reading: Eric Xing 1 Machne Leanng -7/5 7/5-78, 78, Spng 8 Spectal Clusteng Ec Xng Lectue 3, pl 4, 8 Readng: Ec Xng Data Clusteng wo dffeent ctea Compactness, e.g., k-means, mxtue models Connectvty, e.g., spectal clusteng

More information

Chapter 23: Electric Potential

Chapter 23: Electric Potential Chapte 23: Electc Potental Electc Potental Enegy It tuns out (won t show ths) that the tostatc foce, qq 1 2 F ˆ = k, s consevatve. 2 Recall, fo any consevatve foce, t s always possble to wte the wok done

More information

DQ Modeling Of Induction Motor With Broken Rotor Bars In MATLAB Simulink

DQ Modeling Of Induction Motor With Broken Rotor Bars In MATLAB Simulink DQ Moeling Of Inuction Moto With Boken Roto Bas In MATLAB Simulink Pincy P 1 an Gayathi Vijayachanan 2 1,2 Depatment. Of Electical an Electonics, See Buha College of Engineeing, Keala Abstact To analyze

More information

Linear and Nonlinear Optimization

Linear and Nonlinear Optimization Lner nd Nonlner Optmzton Ynyu Ye Deprtment of Mngement Scence nd Engneerng Stnford Unversty Stnford, CA 9430, U.S.A. http://www.stnford.edu/~yyye http://www.stnford.edu/clss/msnde/ Ynyu Ye, Stnford, MS&E

More information

Electric Field F E. q Q R Q. ˆ 4 r r - - Electric field intensity depends on the medium! origin

Electric Field F E. q Q R Q. ˆ 4 r r - - Electric field intensity depends on the medium! origin 1 1 Electic Field + + q F Q R oigin E 0 0 F E ˆ E 4 4 R q Q R Q - - Electic field intensity depends on the medium! Electic Flux Density We intoduce new vecto field D independent of medium. D E So, electic

More information

ELECTROSTATICS. 4πε0. E dr. The electric field is along the direction where the potential decreases at the maximum rate. 5. Electric Potential Energy:

ELECTROSTATICS. 4πε0. E dr. The electric field is along the direction where the potential decreases at the maximum rate. 5. Electric Potential Energy: LCTROSTATICS. Quntiztion of Chge: Any chged body, big o smll, hs totl chge which is n integl multile of e, i.e. = ± ne, whee n is n intege hving vlues,, etc, e is the chge of electon which is eul to.6

More information

" = #N d$ B. Electromagnetic Induction. v ) $ d v % l. Electromagnetic Induction and Faraday s Law. Faraday s Law of Induction

 = #N d$ B. Electromagnetic Induction. v ) $ d v % l. Electromagnetic Induction and Faraday s Law. Faraday s Law of Induction Eletromgnet Induton nd Frdy s w Eletromgnet Induton Mhel Frdy (1791-1867) dsoered tht hngng mgnet feld ould produe n eletr urrent n ondutor pled n the mgnet feld. uh urrent s lled n ndued urrent. The phenomenon

More information

Smoothed Particle Hydrodynamics

Smoothed Particle Hydrodynamics Smooted Patcle Hydodynamcs Applcaton Example Alan Hec Noembe 9, 010 Fluds Nae-Stokes equatons Smooted Patcle Hydodynamcs Smooted Patcle Hydodynamcs Noembe 010 Fluds Lquds, e.g. wate Gasses, e.g. a Plasmas

More information

Mark Scheme (Results) January 2008

Mark Scheme (Results) January 2008 Mk Scheme (Results) Jnuy 00 GCE GCE Mthemtics (6679/0) Edecel Limited. Registeed in Englnd nd Wles No. 4496750 Registeed Office: One90 High Holbon, London WCV 7BH Jnuy 00 6679 Mechnics M Mk Scheme Question

More information

Physics 313 Practice Test Page 1. University Physics III Practice Test II

Physics 313 Practice Test Page 1. University Physics III Practice Test II Physics 313 Pactice Test Page 1 Univesity Physics III Pactice Test II This pactice test should give you a ough idea of the fomat and oveall level of the Physics 313 exams. The actual exams will have diffeent

More information

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

VEKTORANALYS FLUX INTEGRAL LINE INTEGRAL. and. Kursvecka 2. Kapitel 4 5. Sidor 29 50 VEKTORANAYS Ksecka INE INTEGRA and UX INTEGRA Kaptel 4 5 Sdo 9 5 A wnd TARGET PROBEM We want to psh a mne cat along a path fom A to B. Bt the wnd s blowng. How mch enegy s needed? (.e. how mch s the wok?

More information

4.4 Continuum Thermomechanics

4.4 Continuum Thermomechanics 4.4 Contnuum Themomechancs The classcal themodynamcs s now extended to the themomechancs of a contnuum. The state aables ae allowed to ay thoughout a mateal and pocesses ae allowed to be eesble and moe

More information

Ch 26 - Capacitance! What s Next! Review! Lab this week!

Ch 26 - Capacitance! What s Next! Review! Lab this week! Ch 26 - Cpcitnce! Wht s Next! Cpcitnce" One week unit tht hs oth theoeticl n pcticl pplictions! Cuent & Resistnce" Moving chges, finlly!! Diect Cuent Cicuits! Pcticl pplictions of ll the stuff tht we ve

More information

Math 4318 : Real Analysis II Mid-Term Exam 1 14 February 2013

Math 4318 : Real Analysis II Mid-Term Exam 1 14 February 2013 Mth 4318 : Rel Anlysis II Mid-Tem Exm 1 14 Febuy 2013 Nme: Definitions: Tue/Flse: Poofs: 1. 2. 3. 4. 5. 6. Totl: Definitions nd Sttements of Theoems 1. (2 points) Fo function f(x) defined on (, b) nd fo

More information

Lecture 8: 09/18/03 A.R. Neureuther Version Date 09/14/03 EECS 42 Introduction Digital Electronics Andrew R. Neureuther

Lecture 8: 09/18/03 A.R. Neureuther Version Date 09/14/03 EECS 42 Introduction Digital Electronics Andrew R. Neureuther EECS ntroduction Digital Electronics ndrew. Neureuther Lecture #8 Node Equations Systematic Node Equations Example: oltage and Current Dividers Example 5 Element Circuit Schwarz and Oldham 5-58,.5, &.6

More information

Conservation of Linear Momentum using RTT

Conservation of Linear Momentum using RTT 07/03/2017 Lectue 21 Consevation of Linea Momentum using RTT Befoe mi-semeste exam, we have seen the 1. Deivation of Reynols Tanspot Theoem (RTT), 2. Application of RTT in the Consevation of Mass pinciple

More information

Aaa Hal ARC 103 Haq Mou Hill 114 Mug Seh PHY LH Sen Zzz SEC 111

Aaa Hal ARC 103 Haq Mou Hill 114 Mug Seh PHY LH Sen Zzz SEC 111 The Fist Midtem!!! The fist common hou midtem exam will be held on Thusday Octobe 5, 9:50 to 11:10 PM (at night) on the Busch campus. You should go to the oom coesponding to the fist 3 lettes of you last

More information

Current, Resistance and

Current, Resistance and Cuent, Resistance and Electomotive Foce Chapte 25 Octobe 2, 2012 Octobe 2, 2012 Physics 208 1 Leaning Goals The meaning of electic cuent, and how chages move in a conducto. What is meant by esistivity

More information

Question 1. Typical Cellular System. Some geometry TELE4353. About cellular system. About cellular system (2)

Question 1. Typical Cellular System. Some geometry TELE4353. About cellular system. About cellular system (2) TELE4353 Moble a atellte Commucato ystems Tutoal 1 (week 3-4 4 Questo 1 ove that fo a hexagoal geomety, the co-chael euse ato s gve by: Q (3 N Whee N + j + j 1/ 1 Typcal Cellula ystem j cells up cells

More information

PHYS Week 5. Reading Journals today from tables. WebAssign due Wed nite

PHYS Week 5. Reading Journals today from tables. WebAssign due Wed nite PHYS 015 -- Week 5 Readng Jounals today fom tables WebAssgn due Wed nte Fo exclusve use n PHYS 015. Not fo e-dstbuton. Some mateals Copyght Unvesty of Coloado, Cengage,, Peason J. Maps. Fundamental Tools

More information

Phys 1215, First Test. September 20, minutes Name:

Phys 1215, First Test. September 20, minutes Name: Phys 115, Fist Test. Septembe 0, 011 50 minutes Name: Show all wok fo maximum cedit. Each poblem is woth 10 points. k =.0 x 10 N m / C ε 0 = 8.85 x 10-1 C / N m e = 1.60 x 10-1 C ρ = 1.68 x 10-8 Ω m fo

More information

A FAST HYSTERESIS CURRENT CONTROLLED PERMANENT MAGNET SYNCHRONOUS MOTOR DRIVE BASED ON FIELD ORIENTATION

A FAST HYSTERESIS CURRENT CONTROLLED PERMANENT MAGNET SYNCHRONOUS MOTOR DRIVE BASED ON FIELD ORIENTATION Jounal of ELECTRICAL ENGINEERING, VOL 67 (216), NO2, 69 77 A FAST HYSTERESIS CURRENT CONTROLLED PERMANENT MAGNET SYNCHRONOUS MOTOR DRIVE BASED ON FIELD ORIENTATION Cosmas Ogbuka Cajethan Nwosu Macel Agu

More information

Solutions to Midterm Physics 201

Solutions to Midterm Physics 201 Solutions to Midtem Physics. We cn conside this sitution s supeposition of unifomly chged sphee of chge density ρ nd dius R, nd second unifomly chged sphee of chge density ρ nd dius R t the position of

More information

Mathematical formulation of the F 0 motor model

Mathematical formulation of the F 0 motor model negy Tnsduction in TP Synthse: Supplement Mthemticl fomultion of the F 0 moto model. Mkov chin model fo the evolution of the oto stte The fou possible potontion sttes of the two oto sp61 sites t the otostto

More information

Chapter 13 - Universal Gravitation

Chapter 13 - Universal Gravitation Chapte 3 - Unesal Gataton In Chapte 5 we studed Newton s thee laws of moton. In addton to these laws, Newton fomulated the law of unesal gataton. Ths law states that two masses ae attacted by a foce gen

More information