# University of North Carolina-Charlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009

Size: px
Start display at page:

Download "University of North Carolina-Charlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009"

Transcription

1 Problem 1: Using DC Mchine University o North Crolin-Chrlotte Deprtment o Electricl nd Computer Engineering ECGR 4143/5195 Electricl Mchinery Fll 2009 Problem Set 4 Due: Thursdy October 8 Suggested Reding: Fitzgerld nd Kingsley Sections 3.6, A schemtic o seprtely excited DC motor is shown below. Remember tht seprtely excited DC motor hs ield coil (the coil on the sttor) tht is driven with seprte DC source. A schemtic o the mchine is shown below. v BEMF = Gi ω = K ω m This mchine ws tested s genertor beore being put into use s motor. During those tests, we lerned the ollowing cts: The open-circuit voltge t the rmture terminls ws mesured t 200V while the rotor ws turning t 500 rottions per minute The ield current ws set to 1A (The ield current is the current in the ield winding). The rmture resistnce R is 1 Ohm. The ield resistnce R is 1 Ohm All inductnces re negligible. τ Plese nswer the ollowing questions. Until told otherwise, ssume tht the rmture is driven by 50V source nd tht the ield winding is driven by 1A current source. ) During testing s motor, n mmeter indictes tht the rmture current is 1A. Under these conditions, wht is the speed o the motor in RPM? b) Given tht the motor is operting in stedy-stte, wht must be the vlue o the torque pplied to the motor by the mechnicl lod?

2 c) Now, we double the mechnicl lod torque nd llow the motor to rech new stedy-stte. Wht is the speed o the motor in RPM t this new stedy-stte? d) Given your nswer to prt b, you could hve given pretty ccurte nswer to prt c without doing ny mth. Why? Hint: Think bout the key reltionships between the electricl nd mechnicl terminl vribles. e) The lod torque is now set to 10N-m. Wht is the new stedy-stte current? ) The lod torque is still set to 10N-m nd the ield current is reduced to 0.5A. In stedy-stte, wht is the new speed o the mchine? Problem 2: Torque Production in three-phse synchronous mchine Figure 1 shows cross section o simple, three-phse synchronous mchine. There is single winding on the rotor known s ield winding, nd three identicl windings tht re ech displced by (or 2π/3 rdins) long the periphery o the sttor. The windings on the sttor re known s phses. The mchine extends length l. At the bck o the mchine, the windings lbeled A re connected to the windings lbeled A. Any current tht lows into the coil side lbeled A will thus return down the other side o the mchine in the coil sided lbeled A. The sme is lso true or the other two sttor windings nd the ield coil. This is simpliiction o the design used in most genertors. θ R ) Write n expression or the totl lux linkge in ech sttor coil (i.e. λ A, λ B, nd λ C ). Assume tht ech coil hs its own sel inductnce (i.e. L A, L B, nd L C ) tht includes the eects o both lekge nd mgnetiztion. Also include the eects o mutul inductnces nd use the ollowing nottion: L AB is the inductnce between coil A nd coil B, L BF is the inductnce between coil B nd coil F, etc. You do not need to provide explicit expressions or ny o the inductnces. b) I the sttor coils re completely identicl (i.e. they ech hve the sme number o turns), you cn simpliy your expressions rom prt. In prticulr, ech o the sel inductnces is equl to L A nd ech o the phse-to-phse mutul inductnces re equl to L AB (i.e. L AB = L BA = L AC = ). Explin. Use these results to simpliy your expressions rom prt. c) A resonble expression or the mutul inductnce between phse A nd the ield winding is L AF (θ R ) = Mcos(θ R ). Justiy this.

3 d) Modiy the expression or the mutul inductnce between phse A nd the ield winding to determine n expression or the mutul inductnce between phse B nd the ield winding. Similrly, determine the mutul inductnce between phse C nd the ield winding. e) Write n expression or the totl lux in the ield winding. Assume tht the ield coil hs its own sel inductnce (L F ) nd use the mutul inductnces rom the previous two prts. ) Write n expression or the totl coenergy in the system. g) Write n expression or the torque on the rotor. h) Now, ssume tht we drive the windings with blnced three-phse set o currents: i i b c ( ωt) i cos 2π cos ωt 3 2π cos ωt + 3 i Also, ssume tht the rotor is turning t speed ω nd tht t time t = 0 it is locted t ngle θ o (i.e. θ(t) = ωt + θ o Show tht i + i b + i c = 0. Recll tht i) Substitute the currents rom prt h into your torque expression rom prt g. The result should depend only upon I, I, M, nd θ o. The ollowing trigonometric identities my be helpul: j.) The result rom prt i, though slightly pinul to derive, is one o the most importnt in the history o the modern world. It succinctly summrizes one o the primry resons why we use blnced three-phse sets o currents. Given your result in prt i, speculte s to why blnced threephse set o currents is useul. (Don t drive yoursel crzy over this one It s not worth tht mny points).

4 Problem 3: Chrcterizing DC mchine (Two prts Lbortory nd home) In the lb, there re two DC mchines tht hve been linked vi their shts. One mchine is intended to operte s genertor nd the other is intended to operte s motor. In this cse, you re going to chrcterize the motor nd the genertor. Section 1: Dt collection in the lb ) First, we re going to determine the motor constnt K. To do so, use the ollowing procedure: Apply voltge to the genertor. Note tht the genertor terminls re the yellow nd green terminls. This will cuse the motor to spin. Obtin tchometer rom the TA so tht you cn mesure the speed. Use the tch s shown in clss. Apply the ollowing voltges to the genertor terminls: 3V, 4V, 5V, 6V, 7V. At ech voltge, record both the sht speed nd the open-circuit voltge t the motor terminls. Note tht the speed dt is in revolutions per minute (RPM). b) Mke sure tht both the motor nd the genertor re open-circuited. Using the multimeter, mesure the resistnce t the motor terminls. Then, mesure the resistnce t genertor terminls. c) Now, we re going to drive the motor nd mesure the current nd speed. Use the ollowing procedure: Connect the red led o the meter mrked Amps to the positive terminl o the power supply. Connect the blck led o the meter mrked Amps to the positive terminl (the red led) o the motor. Connect the negtive terminl o the motor (the blck led) to the negtive terminl o the power supply. Connect the red led o the meter mrked Volts to the positive motor terminl (the red led) Connect the blck led o the meter mrked Volts to the negtive motor terminl (the blck led) Set the meter mrked Amps to Amps mode. Set the meter mrked Volts to Volts mode Obtin the three lod resistors rom the TA Adjust the power supply voltge until the meter mrked Volts reds pproximtely 6V Record the ctul voltge With the genertor open-circuited, record the current nd speed Connect the 9.4 Ohm resistor cross the genertor terminls. Record the current nd speed. Connect the 4.7 Ohm resistor cross the genertor terminls. Record the current nd speed. Connect the 2.35 Ohm resistor cross the genertor terminls. Record the current nd speed. Short circuit the genertor. Record the current nd speed. At this point, you re inished your lbortory work. Go hed nd return your equipment to the TA. Section 2: Dt nlysis d) Once you re home, enter your recorded motor voltge nd speed mesurements rom prt into Excel. Convert your speed dt rom RPM to rd/sec. Crete plot showing speed in rdins per second on the x-xis nd motor voltge on the y-xis. The reltionship is pproximtely liner. Why should you expect this? Think bck to wht we lerned in clss.

5 e) Use the LINEST unction in Excel to it line to your voltge nd speed dt. You must provide LINEST with set o known x-vlues (in this cse, the speed vlues) nd set o known y-vlues (in this cse, the voltges). LINEST will return the slope o the line tht best its the dt. In terms o the DC mchine model, wht is this vlue? ) In prt b, you mesured the resistnce o the motor nd genertor. This mesurement is not necessrily ccurte becuse it ws mde while the motor ws cold. When the motor is operting, the resistnce will increse. To determine the hot resistnce, use the current nd speed vlues tht you recorded t ech o the vrious genertor loding conditions in prt c. Using your motor constnt K, determine the vlue o the bck-em speed voltge t ech recorded speed. Determine the voltge cross the motor resistnce t ech speed. Use this vlue nd the mesured currents to clculte the resistnce t ech speed. Averge ll o your resistnce redings. Is this resistnce dierent thn the resistnce you mesured in prt b? Why or why not. g) Using your motor constnt rom prt e nd your resistnce clcultion rom prt, provide detiled schemtic or your motor nd genertor. Clerly show the vlues o the resistnces s well s the vlues o the constnts K. Since the motor nd genertor re identicl, ssume tht K is the sme or both mchines. Consider inductnce to be negligible. h) Typiclly, motor mnucturers provide you with dtsheet showing the torque-speed reltionship or prticulr motor. Using your model rom prt, determine the idel ormul or the torquespeed curve. With no mechnicl lod on the mchine, wht should be the speed? This is sometimes clled the no-lod speed. When the mchine is stlled (i.e. the speed is zero), wht is the torque? This is vlue is sometimes clled the stll torque. i) Now exmine your current nd speed dt rom prt c. When the genertor is open-circuited, there is idelly no mechnicl lod on the sht. Idelly, the motor should spin t constnt speed without producing ny torque. This mens tht no current should be drwn rom the power supply. In relity, you should hve mesured some current low when the genertor ws open-circuited. The reson or this current low is tht there is riction torque coming rom the combintion o the comuttors, berings, nd ir low tht cts to slow the motor down. Using Newton s second lw, write n expression or the net torque. This net torque should hve two components, nd their sum should be zero. Why should their sum be zero? Use your expression to clculte the riction torque. As we will see in more detil lter in the semester, riction is typiclly proportionl to speed. Oten, we sy tht τ ric = βω, where β is constnt. Using the current nd speed dt tht you clculted when the genertor ws open-circuited, determine the vlue o β. j) Once the genertor is drwing some current, the motor should pply some torque to the sht. Why? Provide physicl explntion using the irst lw o thermodynmics. The torque pplied to the sht should be relted to the current provided by the genertor. Explin. I the generted current increses, the mchine speed will decrese. Explin. k) Using your results rom prt c, determine the totl torque produced by the motor t ech mesured speed. Plot the torque (in N-m) versus speed (in rd/sec). The plot should be nerly liner. On top o this, plot predicted torque-speed curve using the eqution you ound in prt h. The curves should be very similr. Determine the percent error between the mesured torque nd the predicted torque t ech speed. Give some potentil cuses or the errors.

### Synchronous Machine Parameter Measurement

Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions

### Synchronous Generator Line Synchronization

Synchronous Genertor Line Synchroniztion 1 Synchronous Genertor Line Synchroniztion Introduction One issue in power genertion is synchronous genertor strting. Typiclly, synchronous genertor is connected

### Synchronous Machine Parameter Measurement

Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions

### Module 9. DC Machines. Version 2 EE IIT, Kharagpur

Module 9 DC Mchines Version EE IIT, Khrgpur esson 40 osses, Efficiency nd Testing of D.C. Mchines Version EE IIT, Khrgpur Contents 40 osses, efficiency nd testing of D.C. mchines (esson-40) 4 40.1 Gols

### Lab 8. Speed Control of a D.C. motor. The Motor Drive

Lb 8. Speed Control of D.C. motor The Motor Drive Motor Speed Control Project 1. Generte PWM wveform 2. Amplify the wveform to drive the motor 3. Mesure motor speed 4. Mesure motor prmeters 5. Control

### Compared to generators DC MOTORS. Back e.m.f. Back e.m.f. Example. Example. The construction of a d.c. motor is the same as a d.c. generator.

Compred to genertors DC MOTORS Prepred by Engr. JP Timol Reference: Electricl nd Electronic Principles nd Technology The construction of d.c. motor is the sme s d.c. genertor. the generted e.m.f. is less

### Exercise 1-1. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION

Exercise 1-1 The Sine Wve EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the notion of sine wve nd how it cn be expressed s phsor rotting round the center of circle. You

### Lecture 16: Four Quadrant operation of DC Drive (or) TYPE E Four Quadrant chopper Fed Drive: Operation

Lecture 16: Four Qudrnt opertion of DC Drive (or) TYPE E Four Qudrnt chopper Fed Drive: Opertion The rmture current I is either positive or negtive (flow in to or wy from rmture) the rmture voltge is lso

### Experiment 8 Series DC Motor (II)

Ojectives To control the speed of loded series dc motor y chnging rmture voltge. To control the speed of loded series dc motor y dding resistnce in prllel with the rmture circuit. To control the speed

### EET 438a Automatic Control Systems Technology Laboratory 5 Control of a Separately Excited DC Machine

EE 438 Automtic Control Systems echnology bortory 5 Control of Seprtely Excited DC Mchine Objective: Apply proportionl controller to n electromechnicl system nd observe the effects tht feedbck control

### Three-Phase Synchronous Machines The synchronous machine can be used to operate as: 1. Synchronous motors 2. Synchronous generators (Alternator)

Three-Phse Synchronous Mchines The synchronous mchine cn be used to operte s: 1. Synchronous motors 2. Synchronous genertors (Alterntor) Synchronous genertor is lso referred to s lterntor since it genertes

### Electronic Circuits I - Tutorial 03 Diode Applications I

Electronic Circuits I - Tutoril 03 Diode Applictions I -1 / 9 - T & F # Question 1 A diode cn conduct current in two directions with equl ese. F 2 When reverse-bised, diode idelly ppers s short. F 3 A

### (CATALYST GROUP) B"sic Electric"l Engineering

(CATALYST GROUP) B"sic Electric"l Engineering 1. Kirchhoff s current l"w st"tes th"t (") net current flow "t the junction is positive (b) Hebr"ic sum of the currents meeting "t the junction is zero (c)

### (1) Non-linear system

Liner vs. non-liner systems in impednce mesurements I INTRODUCTION Electrochemicl Impednce Spectroscopy (EIS) is n interesting tool devoted to the study of liner systems. However, electrochemicl systems

### & Y Connected resistors, Light emitting diode.

& Y Connected resistors, Light emitting diode. Experiment # 02 Ojectives: To get some hndson experience with the physicl instruments. To investigte the equivlent resistors, nd Y connected resistors, nd

### Kirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR):

SPH4UW Kirchhoff s ules Kirchhoff s oltge ule (K): Sum of voltge drops round loop is zero. Kirchhoff s Lws Kirchhoff s Current ule (KC): Current going in equls current coming out. Kirchhoff s ules etween

### The Discussion of this exercise covers the following points:

Exercise 4 Bttery Chrging Methods EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the different chrging methods nd chrge-control techniques commonly used when chrging Ni-MI

### Experiment 3: Non-Ideal Operational Amplifiers

Experiment 3: Non-Idel Opertionl Amplifiers Fll 2009 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output

### TUTORIAL Electric Machine Modeling

TUTORIAL Electric Mchine Modeling October 206 Electric Mchine Modeling One cn crete electric chine odels using the bsic unction blocks in PSIM. In this tutoril, we will illustrte how to crete the odel

### Experiment 3: Non-Ideal Operational Amplifiers

Experiment 3: Non-Idel Opertionl Amplifiers 9/11/06 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output

### Section Thyristor converter driven DC motor drive

Section.3 - Thyristor converter driven DC motor drive.3.1 Introduction Controllble AC-DC converters using thyristors re perhps the most efficient nd most robust power converters for use in DC motor drives.

### Polar Coordinates. July 30, 2014

Polr Coordintes July 3, 4 Sometimes it is more helpful to look t point in the xy-plne not in terms of how fr it is horizontlly nd verticlly (this would men looking t the Crtesin, or rectngulr, coordintes

### Example. Check that the Jacobian of the transformation to spherical coordinates is

lss, given on Feb 3, 2, for Mth 3, Winter 2 Recll tht the fctor which ppers in chnge of vrible formul when integrting is the Jcobin, which is the determinnt of mtrix of first order prtil derivtives. Exmple.

### Section 2.2 PWM converter driven DC motor drives

Section 2.2 PWM converter driven DC motor drives 2.2.1 Introduction Controlled power supply for electric drives re obtined mostly by converting the mins AC supply. Power electronic converter circuits employing

### MEASURE THE CHARACTERISTIC CURVES RELEVANT TO AN NPN TRANSISTOR

Electricity Electronics Bipolr Trnsistors MEASURE THE HARATERISTI URVES RELEVANT TO AN NPN TRANSISTOR Mesure the input chrcteristic, i.e. the bse current IB s function of the bse emitter voltge UBE. Mesure

### METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN. Inventor: Brian L. Baskin

METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN Inventor: Brin L. Bskin 1 ABSTRACT The present invention encompsses method of loction comprising: using plurlity of signl trnsceivers to receive one or

### Homework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week

Announcements Homework #1 due Mondy t 6pm White drop ox in Student Lounge on the second floor of Cory Tuesdy ls cncelled next week Attend your other l slot Books on reserve in Bechtel Hmley, 2 nd nd 3

### ABB STOTZ-KONTAKT. ABB i-bus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC

User Mnul ntelligent nstlltion Systems A B 1 2 3 4 5 6 7 8 30 ma 30 ma n = AC Un = 230 V AC 30 ma 9 10 11 12 C ABB STOTZ-KONTAKT Appliction Softwre Current Vlue Threshold/1 Contents Pge 1 Device Chrcteristics...

### Experiment 3: The research of Thevenin theorem

Experiment 3: The reserch of Thevenin theorem 1. Purpose ) Vlidte Thevenin theorem; ) Mster the methods to mesure the equivlent prmeters of liner twoterminl ctive. c) Study the conditions of the mximum

### DESIGN OF CONTINUOUS LAG COMPENSATORS

DESIGN OF CONTINUOUS LAG COMPENSATORS J. Pulusová, L. Körösi, M. Dúbrvská Institute of Robotics nd Cybernetics, Slovk University of Technology, Fculty of Electricl Engineering nd Informtion Technology

### REVIEW QUESTIONS. Figure For Review Question Figure For Review Question Figure For Review Question 10.2.

HAPTE 0 Sinusoidl Stedy-Stte Anlysis 42 EVIEW QUESTIONS 0. The voltge cross the cpcitor in Fig. 0.43 is: () 5 0 V () 7.07 45 V (c) 7.07 45 V (d) 5 45 V Ω 0.5 efer to the circuit in Fig. 0.47 nd oserve

### ECE 274 Digital Logic. Digital Design. Datapath Components Shifters, Comparators, Counters, Multipliers Digital Design

ECE 27 Digitl Logic Shifters, Comprtors, Counters, Multipliers Digitl Design..7 Digitl Design Chpter : Slides to ccompny the textbook Digitl Design, First Edition, by Frnk Vhid, John Wiley nd Sons Publishers,

### Alternating-Current Circuits

chpter 33 Alternting-Current Circuits 33.1 AC Sources 33.2 esistors in n AC Circuit 33.3 Inductors in n AC Circuit 33.4 Cpcitors in n AC Circuit 33.5 The LC Series Circuit 33.6 Power in n AC Circuit 33.7

### Lecture 20. Intro to line integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts.

Lecture 2 Intro to line integrls Dn Nichols nichols@mth.umss.edu MATH 233, Spring 218 University of Msschusetts April 12, 218 (2) onservtive vector fields We wnt to determine if F P (x, y), Q(x, y) is

### Understanding Basic Analog Ideal Op Amps

Appliction Report SLAA068A - April 2000 Understnding Bsic Anlog Idel Op Amps Ron Mncini Mixed Signl Products ABSTRACT This ppliction report develops the equtions for the idel opertionl mplifier (op mp).

### SLOVAK UNIVERSITY OF TECHNOLOGY Faculty of Material Science and Technology in Trnava. ELECTRICAL ENGINEERING AND ELECTRONICS Laboratory exercises

SLOVAK UNIVERSITY OF TECHNOLOGY Fulty of Mteril Siene nd Tehnology in Trnv ELECTRICAL ENGINEERING AND ELECTRONICS Lbortory exerises Róbert Riedlmjer TRNAVA 00 ELECTRICAL ENGINEERING AND ELECTRONICS Lbortory

### Network Theorems. Objectives 9.1 INTRODUCTION 9.2 SUPERPOSITION THEOREM

M09_BOYL3605_13_S_C09.indd Pge 359 24/11/14 1:59 PM f403 /204/PH01893/9780133923605_BOYLSTAD/BOYLSTAD_NTRO_CRCUT_ANALYSS13_S_978013... Network Theorems Ojectives Become fmilir with the superposition theorem

### Direct Current Circuits. Chapter Outline Electromotive Force 28.2 Resistors in Series and in Parallel 28.3 Kirchhoff s Rules 28.

P U Z Z L E R If ll these pplinces were operting t one time, circuit reker would proly e tripped, preventing potentilly dngerous sitution. Wht cuses circuit reker to trip when too mny electricl devices

### 9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations

54 CHAPTER 9 PARAMETRIC EQUATINS AND PLAR CRDINATES 49. r, 5. r sin 3, 5 54 Find the points on the given curve where the tngent line is horizontl or verticl. 5. r 3 cos 5. r e 53. r cos 54. r sin 55. Show

### A Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM

A ovel Bck EMF Zero Crossing Detection of Brushless DC Motor Bsed on PWM Zhu Bo-peng Wei Hi-feng School of Electricl nd Informtion, Jingsu niversity of Science nd Technology, Zhenjing 1003 Chin) Abstrct:

### REVIEW, pages

REVIEW, pges 510 515 6.1 1. Point P(10, 4) is on the terminl rm of n ngle u in stndrd position. ) Determine the distnce of P from the origin. The distnce of P from the origin is r. r x 2 y 2 Substitute:

### CHAPTER 3 AMPLIFIER DESIGN TECHNIQUES

CHAPTER 3 AMPLIFIER DEIGN TECHNIQUE 3.0 Introduction olid-stte microwve mplifiers ply n importnt role in communiction where it hs different pplictions, including low noise, high gin, nd high power mplifiers.

### Engineer-to-Engineer Note

Engineer-to-Engineer Note EE-297 Technicl notes on using Anlog Devices DSPs, processors nd development tools Visit our Web resources http://www.nlog.com/ee-notes nd http://www.nlog.com/processors or e-mil

### The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center

Resource Overview Quntile Mesure: Skill or Concept: 300Q Model the concept of ddition for sums to 10. (QT N 36) Model the concept of sutrction using numers less thn or equl to 10. (QT N 37) Write ddition

### Fault Diagnosis Based on ANN for Turn-to-Turn Short Circuit of Synchronous Generator Rotor Windings

J. Electromgnetic Anlysis & Applictions, 2009, 3: 187-191 doi:10.4236/jem.2009.13028 Published Online September 2009 (www.scirp.org/journl/jem) 187 Fult Dignosis Bsed on ANN or Turn-to-Turn Short Circuit

### Safety Relay Unit. Main contacts Auxiliary contact Number of input channels Rated voltage Model Category. possible 24 VAC/VDC G9SA-501.

Sfety Rely Unit The Series Offers Complete Line-up of Compct Units. Four kinds of -mm wide Units re ville: A -pole model, -pole model, nd models with poles nd OFF-dely poles, s well s Two-hnd ler. Simple

### A Development of Earthing-Resistance-Estimation Instrument

A Development of Erthing-Resistnce-Estimtion Instrument HITOSHI KIJIMA Abstrct: - Whenever erth construction work is done, the implnted number nd depth of electrodes hve to be estimted in order to obtin

### A Cost Effective Speed Control Method for BLDC Motor Drive

IJCTA, 9(33), 2016, pp. 01-10 Interntionl Science Press Closed Loop Control of Soft Switched Forwrd Converter Using Intelligent Controller 1 A Cost Effective Speed Control Method for BLDC Motor Drive M.

### Exponential-Hyperbolic Model for Actual Operating Conditions of Three Phase Arc Furnaces

Americn Journl of Applied Sciences 6 (8): 1539-1547, 2009 ISSN 1546-9239 2009 Science Publictions Exponentil-Hyperbolic Model for Actul Operting Conditions of Three Phse Arc Furnces 1 Mhdi Bnejd, 2 Rhmt-Allh

### Magnetic monopole field exposed by electrons

Mgnetic monopole field exposed y electrons A. Béché, R. Vn Boxem, G. Vn Tendeloo, nd J. Vereeck EMAT, University of Antwerp, Groenenorgerln 171, 22 Antwerp, Belgium Opticl xis Opticl xis Needle Smple Needle

### Section 16.3 Double Integrals over General Regions

Section 6.3 Double Integrls over Generl egions Not ever region is rectngle In the lst two sections we considered the problem of integrting function of two vribles over rectngle. This sitution however is

### First Round Solutions Grades 4, 5, and 6

First Round Solutions Grdes 4, 5, nd 1) There re four bsic rectngles not mde up of smller ones There re three more rectngles mde up of two smller ones ech, two rectngles mde up of three smller ones ech,

### Application Note. Differential Amplifier

Appliction Note AN367 Differentil Amplifier Author: Dve n Ess Associted Project: Yes Associted Prt Fmily: CY8C9x66, CY8C7x43, CY8C4x3A PSoC Designer ersion: 4. SP3 Abstrct For mny sensing pplictions, desirble

### Three-Phase NPC Inverter Using Three-Phase Coupled Inductor

ThreePhse NPC Inverter Using ThreePhse Coupled Inductor Romeu Husmnn 1, Rodrigo d Silv 2 nd Ivo Brbi 2 1 Deprtment of Electricl nd Telecommuniction Engineering, University of Blumenu FURB Blumenu SC Brzil,

### Application of Feed Forward Neural Network to Differential Protection of Turbogenerator

16th NATIONAL POWER SYSTEMS CONFERENCE, 15th-17th DECEMBER, 21 464 Appliction of Feed Forwrd Neurl Network to Differentil Protection of Turbogenertor Amrit Sinh Dept. of Electricl Engg., Ntionl Institute

### 10.4 AREAS AND LENGTHS IN POLAR COORDINATES

65 CHAPTER PARAMETRIC EQUATINS AND PLAR CRDINATES.4 AREAS AND LENGTHS IN PLAR CRDINATES In this section we develop the formul for the re of region whose oundry is given y polr eqution. We need to use the

### Spiral Tilings with C-curves

Spirl Tilings with -curves Using ombintorics to Augment Trdition hris K. Plmer 19 North Albny Avenue hicgo, Illinois, 0 chris@shdowfolds.com www.shdowfolds.com Abstrct Spirl tilings used by rtisns through

### Triangles and parallelograms of equal area in an ellipse

1 Tringles nd prllelogrms of equl re in n ellipse Roert Buonpstore nd Thoms J Osler Mthemtics Deprtment RownUniversity Glssoro, NJ 0808 USA uonp0@studentsrownedu osler@rownedu Introduction In the pper

### Passive and Active DC Breakers in the Three Gorges-Changzhou HVDC Project

Pssive nd Active DC Brekers in the Three Gorges-Chngzhou HVDC Project Dg Andersson, Dr, nd Anders Henriksson, B.Sc.E.E, ABB, Sweden explined below) re Abstrct--A new type of DC breker, bsed on stndrd SF

### Soft switched DC-DC PWM Converters

Soft switched DC-DC PWM Converters Mr.M. Prthp Rju (), Dr. A. Jy Lkshmi () Abstrct This pper presents n upgrded soft switching technique- zero current trnsition (ZCT), which gives better turn off chrcteristics

### Postprint. This is the accepted version of a paper presented at IEEE PES General Meeting.

http://www.div-portl.org Postprint This is the ccepted version of pper presented t IEEE PES Generl Meeting. Cittion for the originl published pper: Mhmood, F., Hooshyr, H., Vnfretti, L. (217) Sensitivity

### Reversible and Proportional Electric Actuators

Reversible nd Proportionl Electric s The MP s re used for two-position, floting, nd proportionl control of dmpers, vlves, nd progrm switches in heting, ventiltion, nd ir conditioning pplictions or similr

### Performance Comparison of Sliding Mode Control and Conventional PI Controller for Speed Control of Separately Excited Direct Current Motors

Journl of Science nd Technology Vol. 13, No. 2 Engineering nd Computer Sciences (ECS) Performnce Comprison of Sliding Mode Control nd Conventionl PI Controller for Speed Control of Seprtely Excited Direct

### CHAPTER 3 EDGE DETECTION USING CLASICAL EDGE DETECTORS

CHAPTER 3 EDE DETECTION USIN CLASICAL EDE DETECTORS Edge detection is one o te most importnt opertions in imge nlsis. An edge is set o connected piels tt lie on te boundr between two regions. Te clssiiction

### PB-735 HD DP. Industrial Line. Automatic punch and bind machine for books and calendars

PB-735 HD DP Automtic punch nd bind mchine for books nd clendrs A further step for the utomtion of double loop binding. A clever nd flexible mchine ble to punch nd bind in line up to 9/16. Using the best

### The computer simulation of communication for PLC systems

The computer simultion of communiction for PLC systems Jiri Misurec Milos Orgon Dept. of Telecommunictions Fculty of Electricl Engineering nd Communiction Brno University of Technology Purkynov 8 6 00

### Investigation of Ground Frequency Characteristics

Journl of Electromgnetic Anlysis nd Applictions, 03, 5, 3-37 http://dx.doi.org/0.436/jem.03.58050 Published Online August 03 (http://www.scirp.org/journl/jem) Mohmed Nyel Electricl Engineering Deprtment,

### Student Book SERIES. Patterns and Algebra. Name

E Student Book 3 + 7 5 + 5 Nme Contents Series E Topic Ptterns nd functions (pp. ) identifying nd creting ptterns skip counting completing nd descriing ptterns predicting repeting ptterns predicting growing

### Nevery electronic device, since all the semiconductor

Proceedings of Interntionl Joint Conference on Neurl Networks, Orlndo, Florid, USA, August 12-17, 2007 A Self-tuning for Rel-time Voltge Regultion Weiming Li, Xio-Hu Yu Abstrct In this reserch, self-tuning

### Modeling of Inverter Fed Five Phase Induction Motor using V/f Control Technique

Interntionl Journl of Current Engineering nd Technology E-ISSN 2277 4106, P-ISSN 2347 161 201INPRESSCO, All Rights Reserved Avilble t http://inpressco.com/ctegory/ijcet Reserch Article Modeling of Inverter

### Math Circles Finite Automata Question Sheet 3 (Solutions)

Mth Circles Finite Automt Question Sheet 3 (Solutions) Nickols Rollick nrollick@uwterloo.c Novemer 2, 28 Note: These solutions my give you the nswers to ll the prolems, ut they usully won t tell you how

### 5 I. T cu2. T use in modem computing systems, it is desirable to. A Comparison of Half-Bridge Resonant Converter Topologies

74 EEE TRANSACTONS ON POER ELECTRONCS, VOL. 3, NO. 2, APRL 988 A Comprison of Hlf-Bridge Resonnt Converter Topologies Abstrct-The hlf-bridge series-resonnt, prllel-resonnt, nd combintion series-prllel

### Direct Current Circuits

8 Direct Current Circuits CHAPTE OUTLNE 8 Electromotive Force 8 esistors in Series nd Prllel 8 Kirchho s ules 84 C Circuits 85 Electricl Meters 86 Household Wiring nd Electricl Sety ANSWES TO QUESTONS

### CS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates

Bsic Logic Gtes : Computer Architecture I Boolen Algebr Instructor: Prof. Bhgi Nrhri Dept. of Computer Science Course URL: www.ses.gwu.edu/~bhgiweb/cs35/ Digitl Logic Circuits We sw how we cn build the

### Algorithms for Memory Hierarchies Lecture 14

Algorithms for emory Hierrchies Lecture 4 Lecturer: Nodri Sitchinv Scribe: ichel Hmnn Prllelism nd Cche Obliviousness The combintion of prllelism nd cche obliviousness is n ongoing topic of reserch, in

### CS2204 DIGITAL LOGIC & STATE MACHINE DESIGN fall 2008

CS224 DIGITAL LOGIC & STATE MACHINE DESIGN fll 28 STAND ALONE XILINX PROJECT 2-TO- MULTIPLEXER. Gols : Lern how to develop stnd lone 2-to- multiplexer () Xilinx project during which the following re introduced

### This is a repository copy of Effect of power state on absorption cross section of personal computer components.

This is repository copy of Effect of power stte on bsorption cross section of personl computer components. White Rose Reserch Online URL for this pper: http://eprints.whiterose.c.uk/10547/ Version: Accepted

### POWER PANEL INSULATION TEST

POWER PNEL INSULTION TEST 1 VOLTGE MPCITY PNEL WITHSTND RTING MIN MLO NO. FEEDER BREKERS NO. FEEDER DISCONNECTS FED FROM OF LODS EQUIPMENT TEMPERTURE TEMPERTURE CORRECTION FCTOR TO, TCF TEST VOLTGE kvdc

### Job Sheet 2. Variable Speed Drive Operation OBJECTIVE PROCEDURE. To install and operate a Variable Speed Drive.

Job Sheet 2 Vrible Speed Drive Opertion OBJECTIVE To instll nd operte Vrible Speed Drive. PROCEDURE Before proceeding with this job, complete the sfety check list in Appendix B. 1. On the Vrible Speed

### OPERATING INSTRUCTION

-2 AUTOMATIC POLARIMETER OPERATING INSTRUCTION Plese red through these operting instruction before using MRC.VER.01-. CONTENTS I. APPLICATIONS.1 II. III. IV. PERFORMANCE 1 CONSTRUCTION AND PRINCIPLE 2

### CAL. NX15 DUO-DISPLAY QUARTZ

L. NX15 UO-ISPLY QURTZ l nlogue time disply l igitl time nd clendr l hronogrph l Tchymeter l t recll function l lrm l Illuminting light (Electroluminescent pnel) ENGLISH Illuminting light (TIME/LENR mode

### MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES

MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES Romn V. Tyshchuk Informtion Systems Deprtment, AMI corportion, Donetsk, Ukrine E-mil: rt_science@hotmil.com 1 INTRODUCTION During the considertion

### Math 116 Calculus II

Mth 6 Clculus II Contents 7 Additionl topics in Integrtion 7. Integrtion by prts..................................... 7.4 Numericl Integrtion.................................... 7 7.5 Improper Integrl......................................

### Dynamic Power Quality Compensator with an Adaptive Shunt Hybrid Filter

Interntionl Journl of Electronics nd Drive System (IJPEDS) Vol. 4, No. 4, December 2014, pp. 508~516 ISSN: 2088-8694 508 Dynmic Qulity Compenstor with n dptive Shunt Hybrid Filter Sindhu M R, Mnjul G Nir,

### Vector Calculus. 1 Line Integrals

Vector lculus 1 Line Integrls Mss problem. Find the mss M of very thin wire whose liner density function (the mss per unit length) is known. We model the wire by smooth curve between two points P nd Q

### SOLVING TRIANGLES USING THE SINE AND COSINE RULES

Mthemtics Revision Guides - Solving Generl Tringles - Sine nd Cosine Rules Pge 1 of 17 M.K. HOME TUITION Mthemtics Revision Guides Level: GCSE Higher Tier SOLVING TRIANGLES USING THE SINE AND COSINE RULES

### MATH 118 PROBLEM SET 6

MATH 118 PROBLEM SET 6 WASEEM LUTFI, GABRIEL MATSON, AND AMY PIRCHER Section 1 #16: Show tht if is qudrtic residue modulo m, nd b 1 (mod m, then b is lso qudrtic residue Then rove tht the roduct of the

### Simulation of Transformer Based Z-Source Inverter to Obtain High Voltage Boost Ability

Interntionl Journl of cience, Engineering nd Technology Reserch (IJETR), olume 4, Issue 1, October 15 imultion of Trnsformer Bsed Z-ource Inverter to Obtin High oltge Boost Ability A.hnmugpriy 1, M.Ishwry

### Design and implementation of a high-speed bit-serial SFQ adder based on the binary decision diagram

INSTITUTE OFPHYSICS PUBLISHING Supercond. Sci. Technol. 16 (23) 1497 152 SUPERCONDUCTORSCIENCE AND TECHNOLOGY PII: S953-248(3)67111-3 Design nd implementtion of high-speed it-seril SFQ dder sed on the

### Carbon Composition Resistors

Dimensions Cron Composition Resistors Rtings nd Dimensions Type L Specifiction Limit nd Performnce d D Derting Curve 8 6 4 (/, w) Test procedures, sequence of test, etc., refer to MIL-STD D nd JIS-C-5.

### CHAPTER 2 LITERATURE STUDY

CHAPTER LITERATURE STUDY. Introduction Multipliction involves two bsic opertions: the genertion of the prtil products nd their ccumultion. Therefore, there re two possible wys to speed up the multipliction:

### Energy Harvesting Two-Way Channels With Decoding and Processing Costs

IEEE TRANSACTIONS ON GREEN COMMUNICATIONS AND NETWORKING, VOL., NO., MARCH 07 3 Energy Hrvesting Two-Wy Chnnels With Decoding nd Processing Costs Ahmed Arf, Student Member, IEEE, Abdulrhmn Bknin, Student

### ECE 274 Digital Logic Fall 2009 Digital Design

igitl Logic ll igitl esign MW -:PM, IL Romn Lysecky, rlysecky@ece.rizon.edu http://www.ece.rizon.edu/~ece hpter : Introduction Slides to ccompny the textbook igitl esign, irst dition, by rnk Vhid, John

### DYE SOLUBILITY IN SUPERCRITICAL CARBON DIOXIDE FLUID

THERMAL SCIENCE, Yer 2015, Vol. 19, No. 4, pp. 1311-1315 1311 DYE SOLUBILITY IN SUPERCRITICAL CARBON DIOXIDE FLUID by Jun YAN, Li-Jiu ZHENG *, Bing DU, Yong-Fng QIAN, nd Fng YE Lioning Provincil Key Lbortory

### (1) Primary Trigonometric Ratios (SOH CAH TOA): Given a right triangle OPQ with acute angle, we have the following trig ratios: ADJ

Tringles nd Trigonometry Prepred y: S diyy Hendrikson Nme: Dte: Suppose we were sked to solve the following tringles: Notie tht eh tringle hs missing informtion, whih inludes side lengths nd ngles. When

### Sequential Logic (2) Synchronous vs Asynchronous Sequential Circuit. Clock Signal. Synchronous Sequential Circuits. FSM Overview 9/10/12

9//2 Sequentil (2) ENGG5 st Semester, 22 Dr. Hden So Deprtment of Electricl nd Electronic Engineering http://www.eee.hku.hk/~engg5 Snchronous vs Asnchronous Sequentil Circuit This Course snchronous Sequentil

### Samantha s Strategies page 1 of 2

Unit 1 Module 2 Session 3 Smnth s Strtegies pge 1 of 2 Smnth hs been working with vriety of multiplition strtegies. 1 Write n expression to desribe eh of the sttements Smnth mde. To solve 18 20, I find

### Joanna Towler, Roading Engineer, Professional Services, NZTA National Office Dave Bates, Operations Manager, NZTA National Office

. TECHNICA MEMOANDM To Cc repred By Endorsed By NZTA Network Mngement Consultnts nd Contrctors NZTA egionl Opertions Mngers nd Are Mngers Dve Btes, Opertions Mnger, NZTA Ntionl Office Jonn Towler, oding