In Part I of this article (Power Electronics Technology, May


 Daniel Tobias Owen
 2 years ago
 Views:
Transcription
1 art wo A ew Way to odel urrentode ontrol Unified l uing general gain paraeter proide the olution for any peak or alleyderied  conerter. By obert heehan rincipal Application ngineer ational eiconductor anta lara alif. n art of thi article (ower lectronic echnology ay 007 the baic operation of  control wa broken down into it coponent part allowing a greater intuitie undertanding for the practical deigner. A coparion of the odulator gain wa ade to oltage operation and a iple analogy howed how the optial lopecopenation requireent could be obtained without any coplicated equation. ow unified l uing general gain paraeter are introduced along with iplified deign equation and an indepth treatent of the analyi and theory i preented. hi general ling technique explain how preiou l can copleent each other on ariou apect of the control theory. odeling ontinuouonduction ode hi article proide l and olution for fixedfrequency continuouconduction ( operation. eference [] coer the theoretical background for thi ubject proiding an exhautie analyi of the buck regulator with it aociated l and reult. o preent duplication the boot regulator of Fig. for the bai for the dicuion here. A ore rapid approach to uing thi inforation i to bypa reference [] and follow the general guideline for lope copenation decribed in the firt part of thi article. hen the iplified equation can be ued to deterine the frequency repone. A  witching regulator i a apleddata yte the bandwidth of which i liited by the witching frequency. Beyond half the witching frequency the repone of the inductor to a change in control oltage i not accurately reproduced. o quantify thi effect for linear ling the continuoutie l of reference [] uccefully placed the aplinggain ter in the cloed Fig.. hi witching l of a boot regulator topology proide an exaple for ling and iulating continuouconduction operation. ower lectronic echnology June 007
2 UO OO Fig.. For a buck regulator apling gain H ( i placed in the forward path (upper circuit and apling gain H( i placed in the cloed feedback loop path (lower circuit. feedback loop. hi allow accurate ling of the controltooutput tranfer function uing the ter H (. o accurately l the loop the unified l of reference [3] placed the aplinggain ter in the forward path. For peak or alley with a fixed lopecopenation rap thi alo accurately l the controltooutput tranfer function uing the ter F (. o deelop the theory for eulated  control reference [] ued a freh approach deriing general gain paraeter which are conitent with both l. n addition a new repreentation of the aplinggain ter for the cloed loop wa deeloped identifying liitation of the forwardpath aplinggain ter. he upper circuit in Fig. repreent the unified for of the l with being the feedforward ter. n the lower circuit i the dc audio uceptibility coefficient fro the continuoutie l. he linear l aplinggain ter a hown in Fig. are defined a: π H ( H ( ( and Q where i the witching period. he ter i new and eerged fro the deriation of the cloedloop expreion for H(. hi deriation ued lopecopenation ter other than the claic fixed rap for peak or alley. can be expreed a Q but thi ere no purpoe becaue Q would need a alue of infinity for the condition 0. o date no ethod ha been found which uccefully incorporate into the openloop expreion for H (. Ue of H ( i liited to peak or alley with a fixed lopecopenating rap for which the alue of 0. o place either aplinggain ter into the linear l for the buck boot and buckboot the following relationhip are applied: F ( F H ( and G ( G H(. he accuracy liit for the aplinggain ter i identified by coparing Q to the odulator oltage gain and the feedforward ter. Q i directly related to the lopecopenation requireent. he deriation tart with the ideal teadytate odulator gain the phyical reaon being that at the witching frequency the relatie lope are fixed with repect to the period. A change in control oltage i then related to a change in aerage inductor. Any tranfer function that i olely dependent on in the forward dcgain path will hae excellent agreeent to the witching l up to half the witching frequency. Howeer any tranfer function that include in the forward dcgain path will how oe deiation at half the witching frequency. iplified ranfer Function o auption for iplification were ade during the deriation of the tranfer function. he only initial auption are the one generally accepted to be alid in a firtorder analyi. oltage ource ource and witche are ideal with no delay in the control circuit. Aplifier input are high ipedance with no ignificant loading of the preiou tage. iplification of the reult wa ade after the coplete deriation which included all ter. eference [] ha exaple for the buck regulator. o how the factored for the iplified tranfer function aue that the pole are well eparated by the loop gain. xpreion for the lowfrequency l do not how the additional phae hift due to the apling effect. he controltooutput tranfer function with the aplinggain ter accurately repreent the circuit behaior up to half the witching frequency. he linetooutput expreion for audio uceptibility are accurate at dc but dierge fro the actual repone a frequency increae. he ene gain i defined a G where G i the ene aplifier and i the ene reitor. For all tranfer function and. Z OU o include the aplinggain ter in the control to output tranfer function the ter i replaced with in the lowfrequency equation. hi repreent the cloedloop Q aplinggain ter. ncluion of thi ter in the linetooutput equation will not produce the ae accuracy of reult. For peak or alley with a fixed lopecopenating rap Q. apling Gain Q Uing a alue of Q will caue any tendency toward ubharonic ocillation to dap in one witching cycle. With repect to the cloedloop controltooutput ower lectronic echnology June
3 UO OO ode eak lope copenation Fixed lope Q ( 0. Q π ( 0 eak roportional lope For Q (inglecycle daping Q π ( ( 0. alley Fixed lope ( 0 Q π ( alley roportional lope For Q (inglecycle daping Q π ( ( ( ulatedpeak Fixed lope ( Q π ( ulatedpeak roportional lope For Q (inglecycle daping Q π ( ( able. uary of general gain paraeter. function the effectie apledgain inductor pole i gien by: f ( Q ( ( 4 Q. 4 Q hi i the frequency at which a 4degree phae hift occur becaue of the apling gain. For Q f (Q occur at 4% of the witching frequency. For Q f (Q occur at 3% of the witching frequency. For econdorder yte the condition of Q i norally aociated with bet tranient repone. he criteria for critical daping i Q 0. (δ. Uing Q ay ake an increental difference for the buck but i inconequential for the boot and buckboot with the aociated righthalfplane zero of. For the peak buck with a fixed lopecopenating rap the effectie apledgain inductor pole i only fixed in frequency with repect to change in line oltage when Q roportional lopecopenation ethod will achiee thi for other operating. o deterine the effect of reducing the lope copenation to increae the oltageloop bandwidth an eulated ower lectronic echnology June
4 UO OO Fig. 3. he lowfrequency linear l for thi buck regulator wa ade uing etrix. for a table oltage loop at the expene of underdaping the loop. With Q ubharonic ocillation i quite pronounced during tranient repone but dap at teady tate. he reader i encouraged to iulate and obere thee effect directly. A iulation exaple for the boot i proided after the linear l and tranfer function are preented. inear odel iple accurate and eaytoue linear l hae been deeloped for the buck boot and buckboot conerter topologie. ach linear l ha been erified uing reult fro it correponding witching l. n thi anner alidation for any tranfer function i poible identifying the accuracy liit of the gien linear l. General gain paraeter are lited in able. hee paraeter are independent of topology and written in ter of the terinal peak buck with proportional lopeco oltage ( and duty cycle (. penation witching circuit wa ipleented in. he coefficient for the linear l of the buck regulator A tandard type 0 Hz error aplifier wa ued for hown in Fig. 3 are: frequency copenation. With / ( µ/ µh and (0. /A the bet perforance wa achieed with OU ( OU Q for a crooer frequency of 40 khz and 4degree phae argin. By etting Q a crooer frequency of and F. wrlecentronic 0 khz wa achieed again igiwr with /4p 4degree /9/07 phae argin :3 but age OU reduced gain argin. hi appear to be the practical liit he controltooutput iplified tranfer function i: OU OU Z W! igiower ultiharger harge oputer igital aera and 4 AA or AAA  ih/i oplete with: UB lug ar lug A Wall lug Batterie apacitor aritor ranforer ower Adapter 346 onroe Ae. enilworth J el: ( Fax: ( eail: and the linetooutput iplified tranfer function i: OU O Z where OU and OU OU. he coefficient for the linear l of the  boot regulator hown in Fig. 4 are: OU OU ( OU and F. OU OU he controltooutput iplified tranfer function i: OU OU Z ower lectronic echnology June
5 UO OO and the linetooutput ipliﬁed tranfer function i: OU OU Z where OU OU Fig. 4. he lowfrequency linear l for thi boot regulator wa ade uing etrix. OU Z Fig.. he lowfrequency linear l for thi buckboot regulator wa ade uing etrix. OU the optial Q at one input oltage. he controltooutput gain plot in Fig. 6 how only a light deiation between the two l at half the witching frequency where fw 00 khz. For the iulation lope copenation wa et for Q he choice of iulation progra i iportant ince not all progra calculate paraeter with the ae degree of accuracy. For witchingl iulation i able to produce Bode plot directly fro the witching l. hi progra wa ued to produce the witchingl iulation reult. he lowfrequency l wa ade with etrix which i the generalpurpoe iulator for the etrix/ progra. hi iulator only handle aplace equation for in nuerical for where the nuerator order ut be equal to or le than the denoinator order. pice i uch better uited for linear l with aplace function in paraeter for. t i ore accurate than the etrix/ progra but cannot produce Bode plot directly fro the witching l. pice or a progra with iilar capability ay be ued to obtain the iulation reult for the linear l. OU OU OU OU OU and. OU OOU Boot egulator iulation xaple For the peak boot conerter exaple coparion of reult fro the witching circuit of Fig. were ade to the linear l of Fig. 4 uing the aplinggain ter H(. o ue the forwardpath aplinggain ter lope copenation wa ipleented with a ﬁxed rap. he reult will be lightly different if a proportional rap i ued a thi odiﬁe the odulator gain ter and feedforward ter. For an actual bootconerter ipleentation with a ﬁxed rap it i only poible to get ower lectronic echnology June 007 and the linetooutput ipliﬁed tranfer function i: he controltooutput ipliﬁed tranfer function i: OU OU Z where he coefﬁcient for the linear l of the  buckboot regulator hown in Fig. are: OU OU ( OU OU and F. OU OU and. out OU OU 30
6 UO OO Fig. 6. hi coparion of controltooutput tranfer function for a peak boot conerter uing ﬁxedlope copenation reeal the witching and linear l behae iilarly with a light dicrepancy at 00 khz which i half the witching frequency. Uniﬁed odulator odeling opology n art of thi article the criteria for  control wa conidered. hi led to the linear l with the gain ter being eaily identiﬁed. he iportance of the concept of a the odulator oltage gain cannot be oertated. ot linear l for  control hae allowed the ath to deﬁne the l. n reference an intuitie undertanding of the odulator wa ued to drie the ath. By algebraic anipulation both the aeraged i Buck i i Boot i ig Buckboot i i ig ( ( OFF ( OFF ( (OF OFF F / O OFF ( OFF ( / (OF OFF F O ote: OFF ; O able. orrection and clariﬁcation for reference [3]. l and continuoutie l were redeﬁned to ﬁt the for of the uniﬁed l. obining the uniﬁedl gain block with the threeterinal W witch reulted in the linear l ued here. A new cloedloop aplinggain ter ha been deﬁned that accoodate any ﬁxedfrequency peak or alleyderied operating. iitation of the forwardaplinggain ter ha been identiﬁed proiding direction for further deelopent in linear ling. ech eference. heehan obert ulated urrent ode ontrol for Buck egulator Uing aple and Hold echnique ower lectronic echnology xhibition and onference 0 October 006. An updated erion of thi paper which include coplete appendix aterial i aailable fro ational eiconductor orp.. idley.b. A ew ontinuouie odel for urrent ode ontrol ranaction on ower lectronic ol. 6 ue pp an F.. and iddlebrook.. A Uniﬁed odel for urrentrograed onerter ranaction on ower lectronic ol. 0 ue 4 pp ower lectronic echnology June
Three Phase Theory  Professor J R Lucas
Three Phae Theory  Profeor J Luca A you are aware, to tranit power with ingle phae alternating current, we need two wire live wire and neutral. However you would have een that ditribution line uually
More informationStatespace analysis of control systems: Part I
Why a different approach? Statepace analyi of control ytem: Part I Uing a tatevariable approach give u a traightforward way to analyze MIM multipleinput, multiple output ytem. A tate variable model
More informationInitial & Final Value Theorems. Lecture 7. More on Laplace Transform (Lathi ) Example. Laplace Transform for Solving Differential Equations
Initial & Final Value Theorem ecture 7 More on aplace Tranform (athi 4.3 4.4) How to find the initial and final value of a function x(t) if we now it aplace Tranform? (t 0 +, and t ) Initial Value Theorem
More informationChapter 3.2 DC ammeters
Chapter. DC aeter generic D ronval oveent i liited to eauring whatever current produce a. How can we increae the range of current that can be eaured? Conider the following circuit: V We have odelled the
More informationLecture 14: Transformers. Ideal Transformers
White, EE 3 Lecture 14 Page 1 of 9 Lecture 14: Tranforer. deal Tranforer n general, a tranforer i a ultiort ac device that convert voltage, current and iedance fro one value to another. Thi device only
More informationOn Reference RIAA Networks by Jim Hagerman
On eference IAA Network by Jim Hagerman You d think there would be nothing left to ay. Everything you need to know about IAA network ha already been publihed. However, a few year back I came acro an intereting
More informationCombined maketoorder/maketostock supply chains
IIE Tranaction 2009 41, 103 119 Copyright C IIE ISSN: 0740817X print / 15458830 online DOI: 10.1080/07408170801975065 Cobined aketoorder/aketotock upply chain PHILIP KAMINSKY 1, and ONUR KAYA 2 1
More informationFundamentals of Microelectronics
Fundaentals of Microelectronics H Why Microelectronics? H2 Basic Physics of Seiconductors H3 Diode ircuits H4 Physics of Bipolar Transistors H5 Bipolar plifiers H6 Physics of MOS Transistors H7 MOS plifiers
More informationAnalyzing Methods Study of Outer Loop Current Sharing Control for Paralleled DC/DC Converters
Analyzing Methods Study of Outer Loop Current Sharing Control for Paralleled DC/DC Conerters Yang Qiu, Ming Xu, Jinjun Liu, and Fred C. Lee Center for Power Electroni Systes The Bradley Departent of Electrical
More informationSinusoidal Approximation in the Analysis of TwelvePulse Output Voltage Type Rectifiers
th INTERNATIONA SYPOSIU on POWER EECTRONICS  Ee 9 XV eñunarodni sipoziju Energetsa eletronia Ee 9 NOVI SAD, REPUBIC OF SERBIA, October 8 th  th, 9 Sinusoidal Approxiation in the Analysis of TwelePulse
More informationContinuousTime (CT) Analog Filters are used for : 1. Interface Applications
ContinuouTime CT Analog Filter are ued for :. Interface Application AntiAliaing or Preconditioning, and, Smoothing or Recontruction function. The real ignal proceing i performed in the Digital domain..
More informationDesign of The Feedback Controller (PID Controller) for The Buck Boost Converter
Deign of The Feedback Controller (PID Controller) for The Buck Boot Converter )Sattar Jaber AlIawi ) Ehan A. Abd AlNabi Department of Electromechanical Eng. The High Intitute for IndutryLibyaMirata
More informationPHYSICS 151 Notes for Online Lecture #11
PHYSICS 151 ote for Online Lecture #11 A freebod diagra i a wa to repreent all of the force that act on a bod. A freebod diagra ake olving ewton econd law for a given ituation eaier, becaue ou re odeling
More informationASHRAE Journal July 2002 33
Copyright 2002, Aerican ociety of Heating, Refrigerating and AirConditioning Engineer, Inc. (www.ahrae.org). Reprinted by periion fro AHRAE Journal, July 2002. Thi article ay not be copied nor ditributed
More informationHarmonic Oscillations / Complex Numbers
Harmonic Ocillation / Complex Number Overview and Motivation: Probably the ingle mot important problem in all of phyic i the imple harmonic ocillator. It can be tudied claically or uantum mechanically,
More information2. METHOD DATA COLLECTION
Key to learning in pecific ubject area of engineering education an example from electrical engineering AnnaKarin Cartenen,, and Jonte Bernhard, School of Engineering, Jönköping Univerity, S Jönköping,
More informationStability of Funding Models: An Analytical Framework
Thoa Eienbach, Todd Keiter, Jae McAndrew, and Tanju Yorulazer Stability of Funding Model: An Analytical Fraework During the recent financial crii, any intitution and oe arketbaed interediation arrangeent
More informationLaboratory Exercise 1
Laboratory Exercie Switche, Light, and Multiplexer The purpoe of thi exercie i to learn how to connect iple input and output device to an FPGA chip and ipleent a circuit that ue thee device. We will ue
More informationDiscussion Session 4 Projectile Motion Week 05. The Plan
PHYS Dicuion Seion 4 Projectile Motion Week 5 The Plan Thi week your group will practice analyzing projectile otion ituation. Why do we pend a whole eion on thi topic? The anwer i that projectile otion
More informationLatitude dependence of the maximum duration of a total solar eclipse
Latitue epenence of the axiu uration of a total olar eclipe Author: Jen Buu, with aitance fro Jean Meeu Contact: 6 Baker Street, Gayton, Northant, NN7 3EZ, UK jbuu@btinternet.co Introuction It i well known
More informationTripping Current and Short Circuit Current of High Voltage Tester
Tripping Current an Short Circuit Current of igh oltage Teter Xu hezhun Wang Keqin Abtract: Tripping current an hort circuit current are iportant technical pecification of high voltage teter, an frequently
More informationPassive Filter Design for ThreePhase Inverter Interfacing in Distributed Generation
Electrical Power Quality and Utiliation, Journal ol., No., 007 Paive Filter Deign for ThreePhae nverter nterfacing in Ditributed Generation Khaled H. Ahmed, Stephen J. Finney and Barry W. William Strathclyde
More informationVectors. Graphical Representation of a Vector
Vector There i a great teptation to put ector tailtotail when ou go to add the. Ma all the battle that ou wage in our war againt that teptation end with our gloriou triuph. Vector add headtotail. We
More informationHADNOUT E.13  EXAMPLES ON TRANSFER FUNCTIONS, POLES AND ZEROS
Paraura Leture 3 Augut HADNOUT E3  EXAMPLES ON TRANSFER FUNCTIONS POLES AND ZEROS Exaple Deterine the tranfer funtion of the apringdaper yte The governing differential equation of a apringdaper yte
More informationTHREEPHASE DIODE BRIDGE RECTIFIER
Chapter THREEPHASE DIODE BRIDGE RECTIFIER The subject of this book is reduction of total haronic distortion (THD) of input currents in threephase diode bridge rectifiers. Besides the reduction of the
More informationMixed Method of Model Reduction for Uncertain Systems
SERBIAN JOURNAL OF ELECTRICAL ENGINEERING Vol 4 No June Mixed Method of Model Reduction for Uncertain Sytem N Selvaganean Abtract: A mixed method for reducing a higher order uncertain ytem to a table reduced
More informationTRANSFORM AND ITS APPLICATION
LAPLACE TRANSFORM AND ITS APPLICATION IN CIRCUIT ANALYSIS C.T. Pan. Definition of the Laplace Tranform. Ueful Laplace Tranform Pair.3 Circuit Analyi in S Domain.4 The Tranfer Function and the Convolution
More informationFigure 1. Universal Hydraulic Testing Machine
Mechanical Teting Mechanical teting i a general ter which refer to a broad range of activity involved with the deterination of echanical propertie and behavior of aterial, tructure and achine. Typically,
More informationTwo Dimensional FEM Simulation of Ultrasonic Wave Propagation in Isotropic Solid Media using COMSOL
Excerpt from the Proceeding of the COMSO Conference 0 India Two Dimenional FEM Simulation of Ultraonic Wave Propagation in Iotropic Solid Media uing COMSO Bikah Ghoe *, Krihnan Balaubramaniam *, C V Krihnamurthy
More informationDEA/AHP and its application in Full Ranking of Decision Making Units
Volue 1, Iue 4, Septeber 2014 DEA/AHP and it application in Full Ranking of Deciion Making Unit Mohaad Ehanifar, PhD Departent of Indutrial Engineering Ilaic Azad Univerity, Arak, Iran Drehanifar1980@gail.co
More informationAC VOLTAGE CONTROLLER CIRCUITS (RMS VOLTAGE CONTROLLERS)
AC TAGE CNTRER CRCUT (RM TAGE CNTRER) AC voltage controllers (ac line voltage controllers) are eployed to vary the RM value of the alternating voltage applied to a load circuit by introducing Thyristors
More informationLadarBased Detection and Tracking of Moving Objects from a Ground Vehicle at High Speeds
Ladaraed Detection and Tracing of Moving Object fro a Ground Vehicle at High Speed ChiehChih Wang, Charle Thorpe and rne Suppe Robotic Intitute Carnegie Mellon niverity Pittburgh, P, 15213S Eail: {bobwang,
More informationOptical Illusion. Sara Bolouki, Roger Grosse, Honglak Lee, Andrew Ng
Optical Illuion Sara Bolouki, Roger Groe, Honglak Lee, Andrew Ng. Introduction The goal of thi proect i to explain ome of the illuory phenomena uing pare coding and whitening model. Intead of the pare
More information5 CommonSource Amplifier Stage
5 Coonource Aplifier tage Two types of coonsource aplifiers will be investigated in lab projects. One is with the source grounded and the other is with a currentsource bias (dual power supply). In Units
More informationSINGLE PHASE FULL WAVE AC VOLTAGE CONTROLLER (AC REGULATOR)
Deceber 9, INGE PHAE FU WAE AC OTAGE CONTROER (AC REGUATOR ingle phase full wave ac voltage controller circuit using two CRs or a single triac is generally used in ost of the ac control applications. The
More informationMulticlassMultilabel Classification with More Classes than Examples
MulticlaMultilabel Claification with More Clae than Exaple Ofer Dekel Microoft Reearch One Microoft Way Redond, WA, 98052, USA Ohad Shair School of Coputer Science and Engineering The Hebrew Univerity
More informationLecture 29. Operational Amplifier frequency Response. Reading: Jaeger 12.1 and Notes
Lecture 9 perational mplifier frequency epone eadg: Jaeger. and Note ECE 3040  Dr. lan Doolittle Ideal p mp Ued to Control Frequency epone  Low Pa Filter Preiouly: Now put a capacitor parallel with :
More informationChapter and. FIGURE 9 36 The deviation of an actual gasturbine cycle from the ideal Brayton cycle as a result of irreversibilities.
Chapter 9 The thermal efficiency could alo be determined from where h th q out q out h h 789.7 00.9 89. kj>kg Dicuion Under the coldairtard aumption (contant pecific heat value at room temperature),
More informationThe quartz crystal model and its frequencies 4,000 3,000 2,000. Reactance X [ohms] 1,000 1,000 2,000
TEHNIA NOTE 3 The quartz crytal model and it frequencie. Introduction The region between and i a region of poitive In thi note, we preent ome of the baic electrical propertie of quartz crytal. In particular,
More informationOhm s Law. Ohmic relationship V=IR. Electric Power. Non Ohmic devises. Schematic representation. Electric Power
Ohm Law Ohmic relationhip V=IR Ohm law tate that current through the conductor i directly proportional to the voltage acro it if temperature and other phyical condition do not change. In many material,
More informationA technical guide to 2014 key stage 2 to key stage 4 value added measures
A technical guide to 2014 key tage 2 to key tage 4 value added meaure CONTENTS Introduction: PAGE NO. What i value added? 2 Change to value added methodology in 2014 4 Interpretation: Interpreting chool
More informationModeling of CCFL using Lamp Delay and Stability Analysis of Backlight Inverter for Large Size LCD TV
Modeling of CCFL uing Delay and Stability Analyi of Backlight Inverter for Large Size LCD T ChangGyun Ki ), KyuChan Lee ) and Bo H. Cho ) ) Interower Co., Ltd. 5785, Silidong, Gwanakgu Seoul, Korea
More informationChapter 5: Design of IIR Filters
EEE35, EEE8 Part A : Digital Signal Proceing Chapter 5 Deign of IIR Filter 5. Introduction IIR filter deign primarily concentrate on the magnitude repone of the filter and regard the phae repone a econdary.
More informationReport 46681b 30.10.2010. Measurement report. Sylomer  field test
Report 46681b Meaurement report Sylomer  field tet Report 46681b 2(16) Contet 1 Introduction... 3 1.1 Cutomer... 3 1.2 The ite and purpoe of the meaurement... 3 2 Meaurement... 6 2.1 Attenuation of
More informationCHAPTER 5 BROADBAND CLASSE AMPLIFIER
CHAPTER 5 BROADBAND CLASSE AMPLIFIER 5.0 Introduction ClaE amplifier wa firt preented by Sokal in 1975. The application of cla E amplifier were limited to the VHF band. At thi range of frequency, clae
More informationCASE STUDY BRIDGE. www.futureprocessing.com
CASE STUDY BRIDGE TABLE OF CONTENTS #1 ABOUT THE CLIENT 3 #2 ABOUT THE PROJECT 4 #3 OUR ROLE 5 #4 RESULT OF OUR COLLABORATION 67 #5 THE BUSINESS PROBLEM THAT WE SOLVED 8 #6 CHALLENGES 9 #7 VISUAL IDENTIFICATION
More informationA CHAOS MODEL OF SUBHARMONIC OSCILLATIONS IN CURRENT MODE PWM BOOST CONVERTERS
A CHAOS MODEL OF SUBHARMONIC OSCILLATIONS IN CURRENT MODE PWM BOOST CONVERTERS Isaac Zafrany and Sa BenYaakov Departent of Electrical and Coputer Engineering BenGurion University of the Negev P. O. Box
More informationA DYNAMIC SIMULATION MODEL OF REVERSE OSMOSIS DESALINATION SYSTEMS
A DYNAMIC SIMULATION MODEL OF REVERSE OSMOSIS DESALINATION SYSTEMS ChenJen Lee, YouSyuan Chen and GowBin Wang Department of Chemical and Material Engineering / Green Technology Reearch Center Chang
More informationModeling of Microbial Growth in a Wastewater Treatment Plant: A Case Study of Textile Industry in Kaduna, Nigeria
AU J.T. 8(): 4554 (Jul. 24) Modeling of Microbial Growth in a Watewater Treatent Plant: A Cae Study of Textile Indutry in Kaduna, Nigeria A.S. Abdulkaree Cheical Engineering Departent, Federal Univerity
More informationProject Management Basics
Project Management Baic A Guide to undertanding the baic component of effective project management and the key to ucce 1 Content 1.0 Who hould read thi Guide... 3 1.1 Overview... 3 1.2 Project Management
More informationMassachusetts Institute of Technology Department of Electrical Engineering and Computer Science
aachuett Intitute of Technology Department of Electrical Engineering and Computer Science 6.685 Electric achinery Cla Note 10: Induction achine Control and Simulation c 2003 Jame L. Kirtley Jr. 1 Introduction
More informationSolution of the Heat Equation for transient conduction by LaPlace Transform
Solution of the Heat Equation for tranient conduction by LaPlace Tranform Thi notebook ha been written in Mathematica by Mark J. McCready Profeor and Chair of Chemical Engineering Univerity of Notre Dame
More informationDISTRIBUTED DATA PARALLEL TECHNIQUES FOR CONTENTMATCHING INTRUSION DETECTION SYSTEMS. G. Chapman J. Cleese E. Idle
DISTRIBUTED DATA PARALLEL TECHNIQUES FOR CONTENTMATCHING INTRUSION DETECTION SYSTEMS G. Chapman J. Cleee E. Idle ABSTRACT Content matching i a neceary component of any ignaturebaed network Intruion Detection
More informationTowards ControlRelevant Forecasting in Supply Chain Management
25 American Control Conference June 81, 25. Portland, OR, USA WeA7.1 Toward ControlRelevant Forecating in Supply Chain Management Jay D. Schwartz, Daniel E. Rivera 1, and Karl G. Kempf Control Sytem
More informationDIRECT TORQUE CONTROL FOR INDUCTION MOTOR DRIVES MAIN FEATURES OF DTC
DIRECT TORQUE CONTROL FOR INDUCTION MOTOR DRIVES MAIN FEATURES OF DTC Decoupled control of torque and flux Abence of mechanical tranducer Current regulator, PWM pule generation, PI control of flux and
More informationyour Rights Consumer Guarantees Understanding Consumer Electronic Devices, Home Appliances & Home Entertainment Products
Conumer Guarantee Undertanding your Right Conumer Electronic Device, Home Appliance & Home Entertainment Product Voluntary Warranty Guide February 2014 JB HiFi Group Pty Ltd (ABN 37 093 II4 286) The Autralian
More informationDISTRIBUTED DATA PARALLEL TECHNIQUES FOR CONTENTMATCHING INTRUSION DETECTION SYSTEMS
DISTRIBUTED DATA PARALLEL TECHNIQUES FOR CONTENTMATCHING INTRUSION DETECTION SYSTEMS Chritopher V. Kopek Department of Computer Science Wake Foret Univerity WintonSalem, NC, 2709 Email: kopekcv@gmail.com
More informationA New HighFrequency Fluorescent Lamp Model
A New HighFrequency Fluorescent ap Model Thoas J. Ribarich and John J. Ribarich International Rectifier Power IC Group 33 Kansas St., El Segundo, CA, 945438 Tel.: (31)76887 Fax: (31)768846 as presented
More informationName: SID: Instructions
CS168 Fall 2014 Homework 1 Aigned: Wedneday, 10 September 2014 Due: Monday, 22 September 2014 Name: SID: Dicuion Section (Day/Time): Intruction  Submit thi homework uing Pandagrader/GradeScope(http://www.gradecope.com/
More informationECE 320 Energy Conversion and Power Electronics Dr. Tim Hogan. Chapter 7: Synchronous Machines and Drives (Textbook Chapter 5)
ECE 30 Energy Converion and Power Electronic Dr. Tim Hogan Chapter 7: ynchronou Machine and Drive (Textbook Chapter 5) Chapter Objective For induction machine, a the rotor approache ynchronou peed, the
More informationAnalysis of Variable Frequency Three Phase Induction Motor Drive
World Academy of Science, ngineering and Technology 4 008 Analyi of Variable Frequency Three Phae Induction Motor Drive Thida Win, Nang Sabai, and Hnin Nandar Maung Abtract AC motor drive are widely ued
More informationModule 8. Threephase Induction Motor. Version 2 EE IIT, Kharagpur
Module 8 Threephae Induction Motor Verion EE IIT, Kharagpur Leon 33 Different Type of Starter for Induction Motor (IM Verion EE IIT, Kharagpur Inructional Objective Need of uing arter for Induction motor
More informationPeriodic Symmetric Functions and Addition Related Arithmetic Operations in Single Electron Tunneling Technology
Periodic Symmetric Function and Addition Related Arithmetic Operation in Single Electron Tunneling Technology or Meenderinck Sorin otofana omputer Engineering Lab, Delft Univerity of Technology, Delft,
More informationA PROPERTY OF MULTINOMIAL COEFFICIENTS
A PROPERTY OF MULTINOMIAL COEFFICIENTS V.E. HOGGATT, JR. San Joe State College, San Joe, California and G. L ALEXANDERSON Univerity of Santa Clara, Santa Clara, California ABSTRACT The ultinoial coefficient
More informationSimulation of Sensorless Speed Control of Induction Motor Using APFO Technique
International Journal of Computer and Electrical Engineering, Vol. 4, No. 4, Augut 2012 Simulation of Senorle Speed Control of Induction Motor Uing APFO Technique T. Raghu, J. Sriniva Rao, and S. Chandra
More informationINTERACTIVE TOOL FOR ANALYSIS OF TIMEDELAY SYSTEMS WITH DEADTIME COMPENSATORS
INTERACTIVE TOOL FOR ANALYSIS OF TIMEDELAY SYSTEMS WITH DEADTIME COMPENSATORS Joé Lui Guzmán, Pedro García, Tore Hägglund, Sebatián Dormido, Pedro Alberto, Manuel Berenguel Dep. de Lenguaje y Computación,
More informationChapter 3 Torque Sensor
CHAPTER 3: TORQUE SESOR 13 Chapter 3 Torque Senor Thi chapter characterize the iue urrounding the development of the torque enor, pecifically addreing meaurement method, tranducer technology and converter
More informationBlock Diagrams, StateVariable Models, and Simulation Methods
5 C H A P T E R Block Diagram, StateVariable Model, and Simulation Method CHAPTER OUTLINE CHAPTER OBJECTIVES Part I. Model Form 25 5. Tranfer Function and Block Diagram Model 25 5.2 StateVariable Model
More informationCatapults and Projectile Motion Parabolic Equations
Catapult and Projectile Motion Parabolic Equation OBJECTIVES Student will ue catapult to eplore projectile motion and parabolic equation. Student will erif the kinematic equation uing reallife data. MATERIALS
More informationA COMPARATIVE STUDY OF THREEPHASE AND SINGLEPHASE PLL ALGORITHMS FOR GRIDCONNECTED SYSTEMS
A COMPARATIE STUDY OF THREEPHASE AND SINGLEPHASE PLL ALGORITHMS FOR GRIDCONNECTED SYSTEMS Ruben Marco do Santo Filho Centro Federal de Educação Tecnológica CEFETMG Coord. Eletrônica Av. Amazona 553 Belo
More informationFigure 2.1. a. Block diagram representation of a system; b. block diagram representation of an interconnection of subsystems
Figure. a. Block diagram repreentation o a ytem; b. block diagram repreentation o an interconnection o ubytem REVIEW OF THE LAPLACE TRANSFORM Table. Laplace tranorm table Table. Laplace tranorm theorem
More informationCh. 22 Electromagnetic Induction
Ch. 22 Electromagnetic Induction 22.1 Induced emf So electric current (moving charge) create agnetic Field. I the revere true? Can magnetic field create current??? D Ye!!! ut it take a changing magnetic
More informationA Spam Message Filtering Method: focus on run time
, pp.2933 http://dx.doi.org/10.14257/atl.2014.76.08 A Spam Meage Filtering Method: focu on run time SinEon Kim 1, JungTae Jo 2, SangHyun Choi 3 1 Department of Information Security Management 2 Department
More informationChapter 4: MeanVariance Analysis
Chapter 4: MeanVariance Analyi Modern portfolio theory identifie two apect of the invetment problem. Firt, an invetor will want to maximize the expected rate of return on the portfolio. Second, an invetor
More informationAn Expert Decision Support System for Crisis Management. Boumediene Belkhouche Reda Bakeer Salah AlSaleh
An Expert Decision Support Syste for Crisis Manageent Bouediene Belkhouche Reda Bakeer Salah AlSaleh EECS Departent Tulane University New Orleans, LA 70118 (504) 8623372 (phone) (504) 8623293 (fax)
More informationBob York. Simple FET DC Bias Circuits
Bob York Simple FET DC Bia Circuit LoaLine an Qpoint Conier the effect of a rain reitor in the comnonource configuration: Smaller + g D out KL: Thi i the equation of a line that can be uperimpoe on
More informationSOLUTIONS TO CONCEPTS CHAPTER 16
. air = 30 m/. = 500 m/. Here S = 7 m So, t = t t = 330 500 SOLUIONS O CONCEPS CHPER 6 =.75 0 3 ec =.75 m.. Here gien S = 80 m = 60 m. = 30 m/ So the maximum time interal will be t = 5/ = 60/30 = 0.5 econd.
More informationData Sheet. Industrial shock absorbers (linear decelerators)
Data Pack G Iued March 2001 1502621407 Data Sheet Indutrial hock aborber (linear decelerator) Introduction Spring and buffer cannot atch the perforance of linear decelerator (the correct nae for indutrial
More informationProcessor Cooling. Report for the practical course Chemieingenieurwesen I WS06/07. Zürich, January 16,
Proceor Cooling Report for the practical coure Chemieingenieurween I WS06/07 Zürich, January 16, 2007 Student: Francico Joé Guerra Millán fguerram@tudent.ethz.ch Andrea Michel michela@tudent.ethz.ch Aitant:
More informationCHAPTER 23: ELECTROMAGNETIC INDUCTION, AC CIRCUITS, AND ELECTRICAL TECHNOLOGIES
College Phyic Student Manual Chapter CHAPTE : EECTOMAGNETC NDUCTON, AC CCUTS, AND EECTCA TECHNOOGES. NDUCED EMF AND MAGNETC FUX. What i the value of the magnetic flux at coil in Figure.5 due to coil? Uing
More informationLecture 15: Transformer Shunt Inductance. Tuned Transformers.
White, EE 3 ecture 15 Page 1 of 8 ecture 15: Tranforer Shunt nductance. Tuned Tranforer. n the lat lecture, we derived the tranforer equation V = V (6.1) and V jω (6.) where = agnetization current and
More informationUnit 11 Using Linear Regression to Describe Relationships
Unit 11 Uing Linear Regreion to Decribe Relationhip Objective: To obtain and interpret the lope and intercept of the leat quare line for predicting a quantitative repone variable from a quantitative explanatory
More informationA Life Contingency Approach for Physical Assets: Create Volatility to Create Value
A Life Contingency Approach for Phyical Aet: Create Volatility to Create Value homa Emil Wendling 2011 Enterprie Rik Management Sympoium Society of Actuarie March 1416, 2011 Copyright 2011 by the Society
More informationDelft. Matlab and Simulink for Modeling and Control. Robert Babuška and Stefano Stramigioli. November 1999
Matlab and Simulink for Modeling and Control Robert Babuška and Stefano Stramigioli November 999 Delft Delft Univerity of Technology Control Laboratory Faculty of Information Technology and Sytem Delft
More informationDifferences and Common Aspects of POG and EMR EnergyBased Graphical Techniques
Difference and Common Apect of POG and EMR Baed Graphical echnique Roerto Zanai Dement of Information Engineering Univerity of Modena and Reggio Emilia Modena, Italy Email: roerto.zanai@unimore.it Federica
More informationKinetic Molecular Theory of Ideal Gases
ecture /. Kinetic olecular Theory of Ideal Gases ast ecture. IG is a purely epirical law  solely the consequence of eperiental obserations Eplains the behaior of gases oer a liited range of conditions.
More informationFEDERATION OF ARAB SCIENTIFIC RESEARCH COUNCILS
Aignment Report RP/98983/5/0./03 Etablihment of cientific and technological information ervice for economic and ocial development FOR INTERNAL UE NOT FOR GENERAL DITRIBUTION FEDERATION OF ARAB CIENTIFIC
More informationLatent Credibility Analysis
Latent Credibility Analyi Jeff Paternack Facebook, Inc. 1601 Willow Road Menlo Park, California 94025 jeffp@fb.co Dan Roth Univerity of Illinoi, UrbanaChapaign 201 North Goodwin Chapaign, Illinoi 61801
More informationBase excitation of the glass mount X
Actie Vibration Isolation of RearView Mirrors ased on Piezoceraic Double Spiral Actuators.T. Kletz,2, J. Melcher 2, M. Sinapius,2 TU raunschweig, Institute of Adaptronics and unction Integration  IA
More informationSimulation of Power Systems Dynamics using Dynamic Phasor Models. Power Systems Laboratory. ETH Zürich Switzerland
X SEPOPE 2 a 25 de maio de 26 May 2 rt to 25 th 26 FLORIANÓPOLIS (SC) BRASIL X SIMPÓSIO DE ESPECIALISTAS EM PLANEJAMENTO DA OPERAÇÃO E EXPANSÃO ELÉTRICA X SYMPOSIUM OF SPECIALISTS IN ELECTRIC OPERATIONAL
More informationTIME SERIES ANALYSIS AND TRENDS BY USING SPSS PROGRAMME
TIME SERIES ANALYSIS AND TRENDS BY USING SPSS PROGRAMME RADMILA KOCURKOVÁ Sileian Univerity in Opava School of Buine Adminitration in Karviná Department of Mathematical Method in Economic Czech Republic
More informationStochasticity in Transcriptional Regulation: Origins, Consequences, and Mathematical Representations
36 Biophyical Journal Volume 8 December 200 36 336 Stochaticity in Trancriptional Regulation: Origin, Conequence, and Mathematical Repreentation Thoma B. Kepler* and Timothy C. Elton *Santa Fe Intitute,
More informationOn the Mutual Coefficient of Restitution in Two Car Collinear Collisions
//006 On the Mutual Coefficient of Restitution in Two Car Collinear Collisions Milan Batista Uniersity of Ljubljana, Faculty of Maritie Studies and Transportation Pot poorscako 4, Sloenia, EU ilan.batista@fpp.edu
More information6. Friction, Experiment and Theory
6. Friction, Experiment and Theory The lab thi wee invetigate the rictional orce and the phyical interpretation o the coeicient o riction. We will mae ue o the concept o the orce o gravity, the normal
More informationAvailability of WDM Multi Ring Networks
Paper Availability of WDM Multi Ring Network Ivan Rado and Katarina Rado H d.o.o. Motar, Motar, Bonia and Herzegovina Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Univerity
More information322 CHAPTER 11 Motion and Momentum Telegraph Colour Library/FPG/Getty Images
Standard 7.7.4: Ue ymbolic equation to how how the quantity of omething change over time or in repone to change in other quantitie. Alo cover: 7.2.6, 7.2.7 (Detailed tandard begin on page IN8.) What i
More informationSCM integration: organiational, managerial and technological iue M. Caridi 1 and A. Sianei 2 Dipartimento di Economia e Produzione, Politecnico di Milano, Italy Email: maria.caridi@polimi.it Itituto
More informationBasic Quantum Mechanics in Coordinate, Momentum and Phase Space
Baic Quantum Mechanic in Coorinate, Momentum an Phae Space Frank Rioux Department of Chemitry College of St. Beneict St. Johnʹ Univerity The purpoe of thi paper i to ue calculation on the harmonic ocillator
More informationShortterm allocation of gas networks and gaselectricity input foreclosure
Shortterm allocation of ga network and gaelectricity input forecloure Miguel Vazquez a,, Michelle Hallack b a Economic Intitute (IE), Federal Univerity of Rio de Janeiro (UFRJ) b Economic Department,
More informationSpace vector PWM Technique for 3phase voltage source inverter using Artificial Neural Network
ISSN:77754 International Journal of Engineering and Innovative echnology (IJEI) Volume, Iue, February Space vector PWM echnique for phae voltage ource inverter uing Artificial Neural Network Bandana,
More information