Microgrid Fundamentals and Control. Jian Sun, Professor and Director New York State Center for Future Energy Systems (518)

Size: px
Start display at page:

Download "Microgrid Fundamentals and Control. Jian Sun, Professor and Director New York State Center for Future Energy Systems (518)"

Transcription

1 Mcrogrd Fundamentals and Control Jan Sun, Professor and Drector New York State Center for Future Energy Systems (58)

2 Mcrogrd s not New Early Power Systems Developed by Thomas Edson and Nkola Tesla were all Mcrogrds Large Power Grds Emerged Because of Improved Relablty, Better Generaton-Load Balance, and More Stable Voltage & Frequency AC Took Over DC due to Easy Converson

3 New Drvers Why Mcrogrds Agan Utlzaton of Dstrbuted Generaton Renewable Energy, CHP, Energy Storage Reduce Transmsson and Dstrbuton Cost & Losses Improve Grd Reslency and Power Qualty Expanson of Electrfcaton New Enablng Technologes Power Electroncs, Communcaton, Control Cost-Effectve and Effcent Energy Storage 3

4 Mcrogrd Technology Many Conferences, Workshops & Semnars about Mcrogrd Deployment, Benefts & Market Techncal Materals have been Lmted to Specfc Technques for Specalsts Lack of Basc Understandng Often Leads to Hypes, False Clams/Expectatons, and Mysteres Functonalty s Easy; Performance s the Key Promse Performance, Delver Functonalty 4

5 Ths Webnar Covers the Fundamentals of Mcrogrd Technology, wth a Focus on Control Performance, wth a Focus on Power Qualty Targets Audence wth General EE Background Goals Users: Ask the Rght Questons Desgn Engneers: Know Where to Start Research Engneers: Understand Techncal Challenges and Opportuntes for Innovaton 5

6 Power Sharng Mcrogrd Control s about Sharng Power Among Multple Sources Whle Mantanng Stablty? 6

7 Control Herarches Mcrogrd Tertary Control (Grd Interface) 7 Prmary Control Inner Control Prmary Control Inner Control Loads Secondary Control (EMS) Prmary Control Inner Control Secondary & Tertary Control Power Grd Communcaton Prmary Control Inner Control 5/6 Hz

8 General Consderatons Inner and Prmary Control are Local Secondary and Tertary Control are Central Requre Communcatons Add Complexty and Cost Lmt Flexblty Plug-and-Play s Desrable for Mcrogrd Autonomous Inner and Prmary Control No/Mnmal Secondary and Tertary Control 8

9 Outlne DC Mcrogrd Control AC Mcrogrd Control Stablty, Power Qualty, and Control Development 9

10 Interconnectng DC Sources Voltage Sources can be Connected n Seres but not Drectly n Parallel Current Sources can be Paralleled but not n Seres Resstors Requred to Lmt Crculatng Currents Mnmal Resstance Requred to Avod Back Feedng Power Losses; not Feasble n Practce R R I I + V + V I + V R V v I I If If V V V R R V V V V R R V

11 Droop Control Current-Dependent Voltage Sources Vrtual Seres Resstors Avod Power Losses Open-Crcut Voltages can be Matched Select Droop Coeffcents Based on Current Sharng Goals Made Possble by Power Electroncs Applcable to Multple Voltage Sources V V I I I + + V + V V V v I I V I I V R R R I R Effects of Parastc Resstance Ignored (Output, Lne) I

12 Master-Slave Control One Source Sets the Voltage (Master) Other Sources Inject Currents (Slaves) Power Sharng not Drectly Controlled Master and Slave Unts are Pre-desgnated Whole System s Down when the Master s Down Smlar to Resdental Solar Integraton nto the Grd I I + + V I V V v R R I V R I

13 Other Varatons Master May Enter Current Lmtng Mode Master May Relnqush Voltage Regulaton Responsblty by Reducng the Voltage Slave Enters Voltage Regulaton Mode When Voltage Drops to Certan Level (Voltage Margn Control) HVDC System Control Provdes Good Source of Reference v v v I max I max 3

14 Other Varatons Cont d Renewable Sources can be Treated as Constant-P Sources Wth Max Voltage and Current Lmt Battery or Other Controllable Unts May be Used as Master Parallel wth Supercapactors to Lower Impedance Automatc Swtchng between Chargng and Dschargng Mode by Introducng a Voltage Droop v V max v v Dschargng Chargng v*=p I max 4

15 Outlne DC Mcrogrd Control AC Mcrogrd Control Stablty, Power Qualty, and Control Development 5

16 Master-Slave Control Smlar to Use n DC Mcrogrd Slaves May Inject Both Actve and Reactve Currents Synchronzaton to Grd Voltage Angle s Requred Reactve Current Causes Small Actve Power Loss Also Lmted by Total Capacty of Interface (Inverter) Reactve Power Control can be Central or Dstrbuted Q P 6

17 Droop Control Easy to Implement Voltage Magntude Droop Based on Current Magntude Unable to Control Actve/Reactve Power Sharng Matchng/Coordnatng Phase Angles Requres Central Control v 7

18 Droop Control Operaton Power s Shared Based by Droop f No Lne Impedance s Present Both Open-Crcut Voltages and Phases are Matched Complex Droop Coeffcents can be Used to Provde Dfferent Sharng of Actve and Reactve Power + R I I R E ~ E ~ I / R I R / I I E V R E V R E E cosδ R cosδ R V V j j E E sn δ R sn δ R 8

19 Effects of Lne Impedance Lne Impedance Affects Current Sharng Impossble to Cancel ths Effect Through Droop Desgn More Complcated n Large Network wth Multple Sources Also Remember the Dffculty of Matchng the Voltages Possble to Reduce the Effects by Usng Large Droop, but wll Result n Very Soft (Weak Grd) Behavor Z R I + I R E E ~ ~ I I E R V Z E V R E E cosδ V R Z cosδ V R Z j j E sn δ R Z E R sn δ Z 9

20 ~ jx E Pure Inductve Network + Load I I EV sn δ, X Wth a Small Phase Angle : P E cos δ V jx E sn δ jx Actve Power can be Controlled by Varyng the Phase () Reactve Power can be Controlled by Varyng Voltage (E) Phase Angle Relatve to the Load cannot be Measured j V ( V Q P EV X E sn δ X E X cos δ) j E cos δ V X V δ, Q ( V E) X Frequency can be Measured Locally and δ t ω(τ) dτ

21 Frequency and Voltage Droop Frequency Droop to Control Actve Power Sharng Voltage Droop to Control Reactve Power Sharng Droop Characterstc Emulates a Reactance Should be Hgh Compared to Actual Lne Reactance Cross Couplng Affects Transent Responses Integraton Introduces Dynamcs Stablty Consderatons δ t ω(τ) dτ ω ω m ( P P ) E E n ( E Q Q ) ~ jx E I + Load P P Q

22 Frequency Devaton Large P Droop Improves Actve Power Sharng Control But Results n Large f Undesrable for Certan Loads Also Increases Couplng wth Reactve Power Control Secondary Control can be Used to Restore Nomnal Frequency after Transent by Adjustng ω ω m ( P P ) P EV sn δ X, Q V ( V E X cos δ) P δ t ω(τ) dτ

23 Effects of Lne Impedance Actual Lne Impedance Depends on Dstance More Sgnfcant for Large Mcrogrds Reactance of the Lne Consumes Reactve Power Q n Q-E Droop Curve s Meant for System Reactve Power Sharng but s Measured at the Termnal of Each Unt R/X Rato, Hghly Resstve for Dstrbuton Lnes All of These May Reduce Effectveness of Droop Control ~ I jx E Z + Load I E cos δ V E sn δ j jx Z jx Z Z: Lne Impedance X: Emulated Reactance Varous Methods can be Used to Mtgate These Problems but are Usually Senstve to Actual Lne Parameters. 3

24 Droop wth Dynamcs Integral Relatonshp from to Introduces Dynamcs Addtonal Dynamcs due to Power Control Loops These May Lead to Poor Transents, Oscllatory Responses Possble Improvement by Introducng Dynamcs nto Droop Characterstcs Emulate PID Control Need Proper System Models for Desgn Nonlnear Effects of Angle and Voltage; Lnearzaton Requred δ m p P m d dp dt m Pd ω ω m P m p dp dt m d d P dt E E n p Q n d dq dt 4

25 Vrtual Impedance Method Instead of P & Q Droop, Each Unt can be Controlled to have Fxed Output Impedance Output P and Q are Controlled by Varyng E System Frequency can be Kept Constant Lmts Current at Intal Connecton, Hot Swap Capablty Resstve Output Impedance May Improve System Dampng No Drect Control of System P & Q Balance ~ E ~ E ~ E 3 ~ E n ~ E n Z Z Z 3 Z n- Z n 5

26 Droop vs. Master-Slave Control Droop Control Works Well wth Defned Power Sharng Objectves Generators, Power Supples, Parallel Modules Master-Slave Control Works for Renewable Sources Slaves Work to Maxmze Ther Power Output Master has to have Enough Capacty and Speed n Addton to Beng Relable/Controllable Varous Combnatons are Possble Droop Control of Multple Maters Democratc Mater-Slave Control 6

27 Outlne DC Mcrogrd Control AC Mcrogrd Control Stablty, Power Qualty, and Control Development 7

28 Mcrogrd Stablty Mcrogrd s a Weak Grd by Defnton Much Easer to Become Unstable than the Large Grd May Actually Degrade Relablty and Power Qualty Inner Control Desgned to be Stable for Assumed (Often Ideal) External Condtons May Become Unstable n an Actual System Droop and Master/Slave Control are Meant for Steady-State Power Sharng and Don t Guarantee Transent Stablty 8

29 Control and Stablty Tradtonal Generator Prme Mover Control Exctaton Control Prmary Control Inner Control Large Wnd Generator Turbne Speed Control DC-Lnk Control Grd Q & V Control Grd Synchronzaton Current Semconductor Control Swtchng.. Frequency (Hertz) 9

30 Weak-Grd Problem 3

31 Solar Farm 3

32 Impedance-Based Analyss Each Devce s Modeled by an Impedance Element for Small-Sgnal Analyss Dynamc, Over Entre Frequency Range of Interest System Stablty s Determned Based on the an Impedance Network State-Space Analyss Overall System Analyss Input-Output Analyss Indvdual Unt Stablty under the Influence of the System 3

33 Master-Slave Control Stablty Small-Sgnal Model Master/Grd Slave + Z g V g I g I Z Master s Modeled by an Ideal Voltage Source Behnd Impedance Each Slave s Modeled by an Ideal Current Source n Parallel wth an Output Impedance; Indvdual or Combned I (s) _ Z g Z s s I g (s) I I g ( s) ( s) Z Z ( s) ( s) Z g ( s) Z Z g ( s) ( s) 33

34 Droop Control Stablty Lumped nto a Sngle Source-Load Model Overall System Stablty and Source-Load Interactons Effects of Changes n Sources or Loads on Stablty System Impedance Network Matrx Descrpton Extenson to Other Prmary Control Methods ~ E ~ E ~ E n ~ E n ~ E s Z Z Z n- Z n Z s Z l 34

35 Smulaton Lmtatons of Small-Sgnal Analyss Startup; Shutdown; Operaton Mode Transton Abnormal Operaton; Interacton wth Protectons Nonlnear and Tme-Varyng Behavor Detaled Crcut and Control Smulaton Complements Small-Sgnal Analyss Possble due to Relatvely Small System Sze 35

36 Real-Tme (RT) Smulaton Control Hardware-n-the-Loop (CHIL) Smulaton Power Hardware-n-the-Loop (PHIL) Smulaton 36

37 HIL Smulaton of Mcrogrds Testng of Indvdual Generaton Unts Rest of System Smulated n Real-Tme Power or Control Interface wth Smulator System Control Development and Testng Secondary and Tertary Control Physcal System Smulated Along wth Local Controls RT Smulator Control 37

38 RT Smulaton Platforms Smulaton Tme Steps, PWM Control Accuracy; System (Physcal) Sze and Complexty Power Electroncs Power Systems Typhoon HIL 38

39 Grd Smulator Utlty Grd ~ = ~ = ~ = = ~ Smulated Grd wth Programmable Volt/Freq/Impedance Inverters () Central Inverters (3) ~ = PV Smulators = G M ~ 4 th Gen Wnd Turbne Smulator Electronc Loads 39

40 Summary Control s to Share Power Among Multple Sources Functonalty s Easy, Performance s the Key A Mcrogrd s a Weak Grd by Defnton Network Dynamcs Affect Inner Control Stablty Prmary Control Stablty s not Guaranteed Use of Secondary and Tertary Control Should be Mnmzed to Reduce Complexty and Cost, Improve Relablty and Flexblty Analyss and Control Desgn Tools are Avalable 4

Highly-Efficient Multi-Coil Wireless Power Transfer (WPT)

Highly-Efficient Multi-Coil Wireless Power Transfer (WPT) Hghly-Effcent Mult-Col Wreless Power Transfer WPT Mehd Kan May 3, 04 GT-Boncs ab, School of Electrcal and Computer Engneerng Georga Insttute of Technology, Atlanta, GA www.gtboncs.org WPT Applcatons Chargng

More information

Uncertainty in measurements of power and energy on power networks

Uncertainty in measurements of power and energy on power networks Uncertanty n measurements of power and energy on power networks E. Manov, N. Kolev Department of Measurement and Instrumentaton, Techncal Unversty Sofa, bul. Klment Ohrdsk No8, bl., 000 Sofa, Bulgara Tel./fax:

More information

Experience with Automatic Generation Control (AGC) Dynamic Simulation in PSS E

Experience with Automatic Generation Control (AGC) Dynamic Simulation in PSS E Semens Industry, Inc. Power Technology Issue 113 Experence wth Automatc Generaton Control (AGC) Dynamc Smulaton n PSS E Lu Wang, Ph.D. Staff Software Engneer lu_wang@semens.com Dngguo Chen, Ph.D. Staff

More information

E40M Device Models, Resistors, Voltage and Current Sources, Diodes, Solar Cells. M. Horowitz, J. Plummer, R. Howe 1

E40M Device Models, Resistors, Voltage and Current Sources, Diodes, Solar Cells. M. Horowitz, J. Plummer, R. Howe 1 E40M Devce Models, Resstors, Voltage and Current Sources, Dodes, Solar Cells M. Horowtz, J. Plummer, R. Howe 1 Understandng the Solar Charger Lab Project #1 We need to understand how: 1. Current, voltage

More information

COMPARISON OF SOME RELIABILITY CHARACTERISTICS BETWEEN REDUNDANT SYSTEMS REQUIRING SUPPORTING UNITS FOR THEIR OPERATIONS

COMPARISON OF SOME RELIABILITY CHARACTERISTICS BETWEEN REDUNDANT SYSTEMS REQUIRING SUPPORTING UNITS FOR THEIR OPERATIONS Avalable onlne at http://sck.org J. Math. Comput. Sc. 3 (3), No., 6-3 ISSN: 97-537 COMPARISON OF SOME RELIABILITY CHARACTERISTICS BETWEEN REDUNDANT SYSTEMS REQUIRING SUPPORTING UNITS FOR THEIR OPERATIONS

More information

FE REVIEW OPERATIONAL AMPLIFIERS (OP-AMPS)( ) 8/25/2010

FE REVIEW OPERATIONAL AMPLIFIERS (OP-AMPS)( ) 8/25/2010 FE REVEW OPERATONAL AMPLFERS (OP-AMPS)( ) 1 The Op-amp 2 An op-amp has two nputs and one output. Note the op-amp below. The termnal labeled l wth the (-) sgn s the nvertng nput and the nput labeled wth

More information

Clock-Gating and Its Application to Low Power Design of Sequential Circuits

Clock-Gating and Its Application to Low Power Design of Sequential Circuits Clock-Gatng and Its Applcaton to Low Power Desgn of Sequental Crcuts ng WU Department of Electrcal Engneerng-Systems, Unversty of Southern Calforna Los Angeles, CA 989, USA, Phone: (23)74-448 Massoud PEDRAM

More information

Energy Storage Elements: Capacitors and Inductors

Energy Storage Elements: Capacitors and Inductors CHAPTER 6 Energy Storage Elements: Capactors and Inductors To ths pont n our study of electronc crcuts, tme has not been mportant. The analyss and desgns we hae performed so far hae been statc, and all

More information

ELE B7 Power Systems Engineering. Power Flow- Introduction

ELE B7 Power Systems Engineering. Power Flow- Introduction ELE B7 Power Systems Engneerng Power Flow- Introducton Introducton to Load Flow Analyss The power flow s the backbone of the power system operaton, analyss and desgn. It s necessary for plannng, operaton,

More information

( ) = ( ) + ( 0) ) ( )

( ) = ( ) + ( 0) ) ( ) EETOMAGNETI OMPATIBIITY HANDBOOK 1 hapter 9: Transent Behavor n the Tme Doman 9.1 Desgn a crcut usng reasonable values for the components that s capable of provdng a tme delay of 100 ms to a dgtal sgnal.

More information

AGC Introduction

AGC Introduction . Introducton AGC 3 The prmary controller response to a load/generaton mbalance results n generaton adjustment so as to mantan load/generaton balance. However, due to droop, t also results n a non-zero

More information

Over-Temperature protection for IGBT modules

Over-Temperature protection for IGBT modules Over-Temperature protecton for IGBT modules Ke Wang 1, Yongjun Lao 2, Gaosheng Song 1, Xanku Ma 1 1 Mtsubsh Electrc & Electroncs (Shangha) Co., Ltd., Chna Room2202, Tower 3, Kerry Plaza, No.1-1 Zhongxns

More information

Islanded Operation of Microgrids with Inverter Connected Renewable Energy Resources

Islanded Operation of Microgrids with Inverter Connected Renewable Energy Resources Isled Operaton of Mcrogrds wth Inverter Connected Renewable Energy Resources H. R. Pota M. J. Hossan M. A. Mahmud R. Gadh R. C. Bansal School of Engneerng Informaton Technology SEIT), The Unversty of New

More information

Operating conditions of a mine fan under conditions of variable resistance

Operating conditions of a mine fan under conditions of variable resistance Paper No. 11 ISMS 216 Operatng condtons of a mne fan under condtons of varable resstance Zhang Ynghua a, Chen L a, b, Huang Zhan a, *, Gao Yukun a a State Key Laboratory of Hgh-Effcent Mnng and Safety

More information

Prof. Paolo Colantonio a.a

Prof. Paolo Colantonio a.a Pro. Paolo olantono a.a. 3 4 Let s consder a two ports network o Two ports Network o L For passve network (.e. wthout nternal sources or actve devces), a general representaton can be made by a sutable

More information

Sections begin this week. Cancelled Sections: Th Labs begin this week. Attend your only second lab slot this week.

Sections begin this week. Cancelled Sections: Th Labs begin this week. Attend your only second lab slot this week. Announcements Sectons begn ths week Cancelled Sectons: Th 122. Labs begn ths week. Attend your only second lab slot ths week. Cancelled labs: ThF 25. Please check your Lab secton. Homework #1 onlne Due

More information

Queueing Networks II Network Performance

Queueing Networks II Network Performance Queueng Networks II Network Performance Davd Tpper Assocate Professor Graduate Telecommuncatons and Networkng Program Unversty of Pttsburgh Sldes 6 Networks of Queues Many communcaton systems must be modeled

More information

Novel Type of Fault Current Limiter

Novel Type of Fault Current Limiter Australan Journal of Basc and Appled Scences, 5(5): 441-447, 2011 ISSN 1991-8178 Novel Type of Fault Current mter Mr Mahmood Hossen, Vajhollah Norooz, Al Moslem Abhar Branch, Islamc Azad Unversty, Abhar,

More information

Coarse-Grain MTCMOS Sleep

Coarse-Grain MTCMOS Sleep Coarse-Gran MTCMOS Sleep Transstor Szng Usng Delay Budgetng Ehsan Pakbazna and Massoud Pedram Unversty of Southern Calforna Dept. of Electrcal Engneerng DATE-08 Munch, Germany Leakage n CMOS Technology

More information

Psychology 282 Lecture #24 Outline Regression Diagnostics: Outliers

Psychology 282 Lecture #24 Outline Regression Diagnostics: Outliers Psychology 282 Lecture #24 Outlne Regresson Dagnostcs: Outlers In an earler lecture we studed the statstcal assumptons underlyng the regresson model, ncludng the followng ponts: Formal statement of assumptons.

More information

Introduction to circuit analysis. Classification of Materials

Introduction to circuit analysis. Classification of Materials Introducton to crcut analyss OUTLINE Electrcal quanttes Charge Current Voltage Power The deal basc crcut element Sgn conventons Current versus voltage (I-V) graph Readng: 1.2, 1.3,1.6 Lecture 2, Slde 1

More information

DC Circuits. Crossing the emf in this direction +ΔV

DC Circuits. Crossing the emf in this direction +ΔV DC Crcuts Delverng a steady flow of electrc charge to a crcut requres an emf devce such as a battery, solar cell or electrc generator for example. mf stands for electromotve force, but an emf devce transforms

More information

Control for Microgrids with Inverter Connected Renewable Energy Resources

Control for Microgrids with Inverter Connected Renewable Energy Resources 1 Control for Mcrogrds wth Inverter Connected Renewable Energy Resources Hemanshu R. Pota SEIT, UNSW@Canberra Canberra ACT 2600 Australa h.pota@adfa.edu.au M. J. Hossan Grffth Unversty Gold Coast, QLD

More information

55:041 Electronic Circuits

55:041 Electronic Circuits 55:04 Electronc Crcuts Feedback & Stablty Sectons of Chapter 2. Kruger Feedback & Stablty Confguraton of Feedback mplfer Negate feedback β s the feedback transfer functon S o S S o o S S o f S S S S fb

More information

Chapter 6 Electrical Systems and Electromechanical Systems

Chapter 6 Electrical Systems and Electromechanical Systems ME 43 Systems Dynamcs & Control Chapter 6: Electrcal Systems and Electromechancal Systems Chapter 6 Electrcal Systems and Electromechancal Systems 6. INTODUCTION A. Bazoune The majorty of engneerng systems

More information

Lecture 8 Modal Analysis

Lecture 8 Modal Analysis Lecture 8 Modal Analyss 16.0 Release Introducton to ANSYS Mechancal 1 2015 ANSYS, Inc. February 27, 2015 Chapter Overvew In ths chapter free vbraton as well as pre-stressed vbraton analyses n Mechancal

More information

Physics 1202: Lecture 11 Today s Agenda

Physics 1202: Lecture 11 Today s Agenda Physcs 122: Lecture 11 Today s Agenda Announcements: Team problems start ths Thursday Team 1: Hend Ouda, Mke Glnsk, Stephane Auger Team 2: Analese Bruder, Krsten Dean, Alson Smth Offce hours: Monday 2:3-3:3

More information

Lecture 14: Forces and Stresses

Lecture 14: Forces and Stresses The Nuts and Bolts of Frst-Prncples Smulaton Lecture 14: Forces and Stresses Durham, 6th-13th December 2001 CASTEP Developers Group wth support from the ESF ψ k Network Overvew of Lecture Why bother? Theoretcal

More information

Second Order Analysis

Second Order Analysis Second Order Analyss In the prevous classes we looked at a method that determnes the load correspondng to a state of bfurcaton equlbrum of a perfect frame by egenvalye analyss The system was assumed to

More information

CHAPTER 5 NUMERICAL EVALUATION OF DYNAMIC RESPONSE

CHAPTER 5 NUMERICAL EVALUATION OF DYNAMIC RESPONSE CHAPTER 5 NUMERICAL EVALUATION OF DYNAMIC RESPONSE Analytcal soluton s usually not possble when exctaton vares arbtrarly wth tme or f the system s nonlnear. Such problems can be solved by numercal tmesteppng

More information

Real-Time Systems. Multiprocessor scheduling. Multiprocessor scheduling. Multiprocessor scheduling

Real-Time Systems. Multiprocessor scheduling. Multiprocessor scheduling. Multiprocessor scheduling Real-Tme Systems Multprocessor schedulng Specfcaton Implementaton Verfcaton Multprocessor schedulng -- -- Global schedulng How are tasks assgned to processors? Statc assgnment The processor(s) used for

More information

This is a repository copy of Power sharing of parallel operated DC-DC converters using current-limiting droop control.

This is a repository copy of Power sharing of parallel operated DC-DC converters using current-limiting droop control. Ths s a repostory copy of Power sharng of parallel operated DC-DC converters usng current-lmtng droop control. Whte Rose Research Onlne URL for ths paper: http://eprnts.whterose.ac.uk/116371/ Verson: Accepted

More information

Department of Electrical & Electronic Engineeing Imperial College London. E4.20 Digital IC Design. Median Filter Project Specification

Department of Electrical & Electronic Engineeing Imperial College London. E4.20 Digital IC Design. Median Filter Project Specification Desgn Project Specfcaton Medan Flter Department of Electrcal & Electronc Engneeng Imperal College London E4.20 Dgtal IC Desgn Medan Flter Project Specfcaton A medan flter s used to remove nose from a sampled

More information

LOAD FLOW CALCULATION AND ANALYSIS

LOAD FLOW CALCULATION AND ANALYSIS POZNAN UNIVE RSITY OF TE CHNOLOGY ACADE MIC JOURNALS No 7 Electrcal Engneerng 1 Oleksj SKRYPNYK* Volodymyr KONOVAL** Andr KOZOVYI** LOAD FLOW CALCULATION AND ANALYSIS Load flow calculaton and analyss n

More information

Winter 2008 CS567 Stochastic Linear/Integer Programming Guest Lecturer: Xu, Huan

Winter 2008 CS567 Stochastic Linear/Integer Programming Guest Lecturer: Xu, Huan Wnter 2008 CS567 Stochastc Lnear/Integer Programmng Guest Lecturer: Xu, Huan Class 2: More Modelng Examples 1 Capacty Expanson Capacty expanson models optmal choces of the tmng and levels of nvestments

More information

55:041 Electronic Circuits

55:041 Electronic Circuits 55:04 Electronc Crcuts Feedback & Stablty Sectons of Chapter 2. Kruger Feedback & Stablty Confguraton of Feedback mplfer S o S ε S o ( S β S ) o Negate feedback S S o + β β s the feedback transfer functon

More information

ELECTRONICS. EE 42/100 Lecture 4: Resistive Networks and Nodal Analysis. Rev B 1/25/2012 (9:49PM) Prof. Ali M. Niknejad

ELECTRONICS. EE 42/100 Lecture 4: Resistive Networks and Nodal Analysis. Rev B 1/25/2012 (9:49PM) Prof. Ali M. Niknejad A. M. Nknejad Unversty of Calforna, Berkeley EE 100 / 42 Lecture 4 p. 1/14 EE 42/100 Lecture 4: Resstve Networks and Nodal Analyss ELECTRONICS Rev B 1/25/2012 (9:49PM) Prof. Al M. Nknejad Unversty of Calforna,

More information

Why working at higher frequencies?

Why working at higher frequencies? Advanced course on ELECTRICAL CHARACTERISATION OF NANOSCALE SAMPLES & BIOCHEMICAL INTERFACES: methods and electronc nstrumentaton. MEASURING SMALL CURRENTS When speed comes nto play Why workng at hgher

More information

Sensors & Transducers Published by IFSA Publishing, S. L.,

Sensors & Transducers Published by IFSA Publishing, S. L., Sensors & Transducers Publshed by IFSA Publshng, S. L., 208 http://www.sensorsportal.com The Algorthm and Software Implementaton of the Thermal Transent Testng Technology Appled n Hgh-Power Electroncs

More information

FE REVIEW OPERATIONAL AMPLIFIERS (OP-AMPS)

FE REVIEW OPERATIONAL AMPLIFIERS (OP-AMPS) FE EIEW OPEATIONAL AMPLIFIES (OPAMPS) 1 The Opamp An opamp has two nputs and one output. Note the opamp below. The termnal labeled wth the () sgn s the nvertng nput and the nput labeled wth the () sgn

More information

Week 11: Differential Amplifiers

Week 11: Differential Amplifiers ELE 0A Electronc rcuts Week : Dfferental Amplfers Lecture - Large sgnal analyss Topcs to coer A analyss Half-crcut analyss eadng Assgnment: hap 5.-5.8 of Jaeger and Blalock or hap 7. - 7.3, of Sedra and

More information

Basic Statistical Analysis and Yield Calculations

Basic Statistical Analysis and Yield Calculations October 17, 007 Basc Statstcal Analyss and Yeld Calculatons Dr. José Ernesto Rayas Sánchez 1 Outlne Sources of desgn-performance uncertanty Desgn and development processes Desgn for manufacturablty A general

More information

A stochastic framework for modeling the population dynamics of convective clouds

A stochastic framework for modeling the population dynamics of convective clouds A stochastc framework for modelng the populaton dynamcs of convectve clouds SAMSON HAGOS, ZHE FENG, BOB PLANT, ROBERT HOUZE, HENG XIAO Acknowledgement: Alan Protat and hs team at the Australan BOM 1 Introducton

More information

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science Circuits and Electronics Spring 2001

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science Circuits and Electronics Spring 2001 Massachusetts Insttute of Technology Department of Electrcal Engneerng and Computer Scence Read Chapters 11 through 12. 6.002 Crcuts and Electroncs Sprng 2001 Homework #5 Handout S01031 Issued: 3/8/2001

More information

Computer-Aided Circuit Simulation and Verification. CSE245 Fall 2004 Professor:Chung-Kuan Cheng

Computer-Aided Circuit Simulation and Verification. CSE245 Fall 2004 Professor:Chung-Kuan Cheng Computer-Aded Crcut Smulaton and Verfcaton CSE245 Fall 24 Professor:Chung-Kuan Cheng Admnstraton Lectures: 5:pm ~ 6:2pm TTH HSS 252 Offce Hours: 4:pm ~ 4:45pm TTH APM 4256 Textbook Electronc Crcut and

More information

Linearity. If kx is applied to the element, the output must be ky. kx ky. 2. additivity property. x 1 y 1, x 2 y 2

Linearity. If kx is applied to the element, the output must be ky. kx ky. 2. additivity property. x 1 y 1, x 2 y 2 Lnearty An element s sad to be lnear f t satsfes homogenety (scalng) property and addte (superposton) property. 1. homogenety property Let x be the nput and y be the output of an element. x y If kx s appled

More information

Resource Allocation with a Budget Constraint for Computing Independent Tasks in the Cloud

Resource Allocation with a Budget Constraint for Computing Independent Tasks in the Cloud Resource Allocaton wth a Budget Constrant for Computng Independent Tasks n the Cloud Wemng Sh and Bo Hong School of Electrcal and Computer Engneerng Georga Insttute of Technology, USA 2nd IEEE Internatonal

More information

Key component in Operational Amplifiers

Key component in Operational Amplifiers Key component n Operatonal Amplfers Objectve of Lecture Descrbe how dependent voltage and current sources functon. Chapter.6 Electrcal Engneerng: Prncples and Applcatons Chapter.6 Fundamentals of Electrc

More information

6.01: Introduction to EECS I Lecture 7 March 15, 2011

6.01: Introduction to EECS I Lecture 7 March 15, 2011 6.0: Introducton to EECS I Lecture 7 March 5, 20 6.0: Introducton to EECS I Crcuts The Crcut Abstracton Crcuts represent systems as connectons of elements through whch currents (through arables) flow and

More information

Chapter - 2. Distribution System Power Flow Analysis

Chapter - 2. Distribution System Power Flow Analysis Chapter - 2 Dstrbuton System Power Flow Analyss CHAPTER - 2 Radal Dstrbuton System Load Flow 2.1 Introducton Load flow s an mportant tool [66] for analyzng electrcal power system network performance. Load

More information

EEL 6266 Power System Operation and Control. Chapter 3 Economic Dispatch Using Dynamic Programming

EEL 6266 Power System Operation and Control. Chapter 3 Economic Dispatch Using Dynamic Programming EEL 6266 Power System Operaton and Control Chapter 3 Economc Dspatch Usng Dynamc Programmng Pecewse Lnear Cost Functons Common practce many utltes prefer to represent ther generator cost functons as sngle-

More information

Term Project - select journal paper and outline. Completed analysis due end

Term Project - select journal paper and outline. Completed analysis due end EE 5200 - Lecture 30 Fr ov 4, 2016 Topcs for Today: Announcements Term Project - select journal paper and outlne. Completed analyss due end of Week 12. Submt va e-mal as mn-lecture.ppt wth voce narraton.

More information

Chapter 13: Multiple Regression

Chapter 13: Multiple Regression Chapter 13: Multple Regresson 13.1 Developng the multple-regresson Model The general model can be descrbed as: It smplfes for two ndependent varables: The sample ft parameter b 0, b 1, and b are used to

More information

Distributed Cooperative Control of AC Micro-grids

Distributed Cooperative Control of AC Micro-grids 4 Dstrbuted Cooperatve Control of AC Mcro-grds 6 F.L. Lews, NAI Moncref-O Donnell Char, UTA Research Insttute (UTARI) The Unversty of Texas at Arlngton, USA and Supported by : ONR US NSF Chna Qan Ren Program,

More information

Boise State University Department of Electrical and Computer Engineering ECE 212L Circuit Analysis and Design Lab

Boise State University Department of Electrical and Computer Engineering ECE 212L Circuit Analysis and Design Lab Bose State Unersty Department of Electrcal and omputer Engneerng EE 1L rcut Analyss and Desgn Lab Experment #8: The Integratng and Dfferentatng Op-Amp rcuts 1 Objectes The objectes of ths laboratory experment

More information

Identification of Wind Turbine Model for Controller Design

Identification of Wind Turbine Model for Controller Design Identfcaton of Wnd Turbne Model for Controller Desgn M. Jelavć *, N. Perć *, I. Petrovć * * Unversty of Zagreb / Faculty of Electrcal Engneerng and Computng, Zagreb, Croata Abstract Wnd power ncreases

More information

Modeling and Simulation of a Hexapod Machine Tool for the Dynamic Stability Analysis of Milling Processes. C. Henninger, P.

Modeling and Simulation of a Hexapod Machine Tool for the Dynamic Stability Analysis of Milling Processes. C. Henninger, P. Smpack User Meetng 27 Modelng and Smulaton of a Heapod Machne Tool for the Dynamc Stablty Analyss of Mllng Processes C. Hennnger, P. Eberhard Insttute of Engneerng project funded by the DFG wthn the framework

More information

Statistical Energy Analysis for High Frequency Acoustic Analysis with LS-DYNA

Statistical Energy Analysis for High Frequency Acoustic Analysis with LS-DYNA 14 th Internatonal Users Conference Sesson: ALE-FSI Statstcal Energy Analyss for Hgh Frequency Acoustc Analyss wth Zhe Cu 1, Yun Huang 1, Mhamed Soul 2, Tayeb Zeguar 3 1 Lvermore Software Technology Corporaton

More information

A LINEAR PROGRAM TO COMPARE MULTIPLE GROSS CREDIT LOSS FORECASTS. Dr. Derald E. Wentzien, Wesley College, (302) ,

A LINEAR PROGRAM TO COMPARE MULTIPLE GROSS CREDIT LOSS FORECASTS. Dr. Derald E. Wentzien, Wesley College, (302) , A LINEAR PROGRAM TO COMPARE MULTIPLE GROSS CREDIT LOSS FORECASTS Dr. Derald E. Wentzen, Wesley College, (302) 736-2574, wentzde@wesley.edu ABSTRACT A lnear programmng model s developed and used to compare

More information

55:141 Advanced Circuit Techniques Two-Port Theory

55:141 Advanced Circuit Techniques Two-Port Theory 55:4 Adanced Crcut Technques Two-Port Theory Materal: Lecture Notes A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 205 Two-Port Theory, Slde Two-Port Networks Note, the BJT s all are hghly

More information

Statistical Evaluation of WATFLOOD

Statistical Evaluation of WATFLOOD tatstcal Evaluaton of WATFLD By: Angela MacLean, Dept. of Cvl & Envronmental Engneerng, Unversty of Waterloo, n. ctober, 005 The statstcs program assocated wth WATFLD uses spl.csv fle that s produced wth

More information

Turbulence classification of load data by the frequency and severity of wind gusts. Oscar Moñux, DEWI GmbH Kevin Bleibler, DEWI GmbH

Turbulence classification of load data by the frequency and severity of wind gusts. Oscar Moñux, DEWI GmbH Kevin Bleibler, DEWI GmbH Turbulence classfcaton of load data by the frequency and severty of wnd gusts Introducton Oscar Moñux, DEWI GmbH Kevn Blebler, DEWI GmbH Durng the wnd turbne developng process, one of the most mportant

More information

Amplification and Relaxation of Electron Spin Polarization in Semiconductor Devices

Amplification and Relaxation of Electron Spin Polarization in Semiconductor Devices Amplfcaton and Relaxaton of Electron Spn Polarzaton n Semconductor Devces Yury V. Pershn and Vladmr Prvman Center for Quantum Devce Technology, Clarkson Unversty, Potsdam, New York 13699-570, USA Spn Relaxaton

More information

6.3.7 Example with Runga Kutta 4 th order method

6.3.7 Example with Runga Kutta 4 th order method 6.3.7 Example wth Runga Kutta 4 th order method Agan, as an example, 3 machne, 9 bus system shown n Fg. 6.4 s agan consdered. Intally, the dampng of the generators are neglected (.e. d = 0 for = 1, 2,

More information

Frequency-Domain Analysis of Transmission Line Circuits (Part 1)

Frequency-Domain Analysis of Transmission Line Circuits (Part 1) Frequency-Doman Analyss of Transmsson Lne Crcuts (Part ) Outlne -port networs mpedance matrx representaton Admttance matrx representaton catterng matrx representaton eanng of the -parameters Generalzed

More information

Statistical Circuit Optimization Considering Device and Interconnect Process Variations

Statistical Circuit Optimization Considering Device and Interconnect Process Variations Statstcal Crcut Optmzaton Consderng Devce and Interconnect Process Varatons I-Jye Ln, Tsu-Yee Lng, and Yao-Wen Chang The Electronc Desgn Automaton Laboratory Department of Electrcal Engneerng Natonal Tawan

More information

Outline. Communication. Bellman Ford Algorithm. Bellman Ford Example. Bellman Ford Shortest Path [1]

Outline. Communication. Bellman Ford Algorithm. Bellman Ford Example. Bellman Ford Shortest Path [1] DYNAMIC SHORTEST PATH SEARCH AND SYNCHRONIZED TASK SWITCHING Jay Wagenpfel, Adran Trachte 2 Outlne Shortest Communcaton Path Searchng Bellmann Ford algorthm Algorthm for dynamc case Modfcatons to our algorthm

More information

Physics 2102 Spring 2007 Lecture 10 Current and Resistance

Physics 2102 Spring 2007 Lecture 10 Current and Resistance esstance Is Futle! Physcs 0 Sprng 007 Jonathan Dowlng Physcs 0 Sprng 007 Lecture 0 Current and esstance Georg Smon Ohm (789-854) What are we gong to learn? A road map lectrc charge lectrc force on other

More information

RELIABILITY ASSESSMENT

RELIABILITY ASSESSMENT CHAPTER Rsk Analyss n Engneerng and Economcs RELIABILITY ASSESSMENT A. J. Clark School of Engneerng Department of Cvl and Envronmental Engneerng 4a CHAPMAN HALL/CRC Rsk Analyss for Engneerng Department

More information

Boise State University Department of Electrical and Computer Engineering ECE 212L Circuit Analysis and Design Lab

Boise State University Department of Electrical and Computer Engineering ECE 212L Circuit Analysis and Design Lab Bose State Unersty Department of Electrcal and omputer Engneerng EE 1L rcut Analyss and Desgn Lab Experment #8: The Integratng and Dfferentatng Op-Amp rcuts 1 Objectes The objectes of ths laboratory experment

More information

Chapter 5 Multilevel Models

Chapter 5 Multilevel Models Chapter 5 Multlevel Models 5.1 Cross-sectonal multlevel models 5.1.1 Two-level models 5.1.2 Multple level models 5.1.3 Multple level modelng n other felds 5.2 Longtudnal multlevel models 5.2.1 Two-level

More information

Department of Electrical and Computer Engineering FEEDBACK AMPLIFIERS

Department of Electrical and Computer Engineering FEEDBACK AMPLIFIERS Department o Electrcal and Computer Engneerng UNIT I EII FEEDBCK MPLIFIES porton the output sgnal s ed back to the nput o the ampler s called Feedback mpler. Feedback Concept: block dagram o an ampler

More information

This column is a continuation of our previous column

This column is a continuation of our previous column Comparson of Goodness of Ft Statstcs for Lnear Regresson, Part II The authors contnue ther dscusson of the correlaton coeffcent n developng a calbraton for quanttatve analyss. Jerome Workman Jr. and Howard

More information

The Decibel and its Usage

The Decibel and its Usage The Decbel and ts Usage Consder a two-stage amlfer system, as shown n Fg.. Each amlfer rodes an ncrease of the sgnal ower. Ths effect s referred to as the ower gan,, of the amlfer. Ths means that the sgnal

More information

Chapter 6. Operational Amplifier. inputs can be defined as the average of the sum of the two signals.

Chapter 6. Operational Amplifier.  inputs can be defined as the average of the sum of the two signals. 6 Operatonal mpler Chapter 6 Operatonal mpler CC Symbol: nput nput Output EE () Non-nvertng termnal, () nvertng termnal nput mpedance : Few mega (ery hgh), Output mpedance : Less than (ery low) Derental

More information

Week3, Chapter 4. Position and Displacement. Motion in Two Dimensions. Instantaneous Velocity. Average Velocity

Week3, Chapter 4. Position and Displacement. Motion in Two Dimensions. Instantaneous Velocity. Average Velocity Week3, Chapter 4 Moton n Two Dmensons Lecture Quz A partcle confned to moton along the x axs moves wth constant acceleraton from x =.0 m to x = 8.0 m durng a 1-s tme nterval. The velocty of the partcle

More information

Econ107 Applied Econometrics Topic 3: Classical Model (Studenmund, Chapter 4)

Econ107 Applied Econometrics Topic 3: Classical Model (Studenmund, Chapter 4) I. Classcal Assumptons Econ7 Appled Econometrcs Topc 3: Classcal Model (Studenmund, Chapter 4) We have defned OLS and studed some algebrac propertes of OLS. In ths topc we wll study statstcal propertes

More information

NON-LINEAR CONVOLUTION: A NEW APPROACH FOR THE AURALIZATION OF DISTORTING SYSTEMS

NON-LINEAR CONVOLUTION: A NEW APPROACH FOR THE AURALIZATION OF DISTORTING SYSTEMS NON-LINEAR CONVOLUTION: A NEW APPROAC FOR TE AURALIZATION OF DISTORTING SYSTEMS Angelo Farna, Alberto Belln and Enrco Armellon Industral Engneerng Dept., Unversty of Parma, Va delle Scenze 8/A Parma, 00

More information

EE 2006 Electric Circuit Analysis Spring January 23, 2015 Lecture 02

EE 2006 Electric Circuit Analysis Spring January 23, 2015 Lecture 02 EE 2006 Electrc Crcut Analyss Sprng 2015 January 23, 2015 Lecture 02 1 Lab 1 Dgtal Multmeter Lab nstructons Aalable onlne Prnt out and read before Lab MWAH 391, 4:00 7:00 pm, next Monday or Wednesday (January

More information

Axial Turbine Analysis

Axial Turbine Analysis Axal Turbne Analyss From Euler turbomachnery (conservaton) equatons need to Nole understand change n tangental velocty to relate to forces on blades and power m W m rc e rc uc uc e Analye flow n a plane

More information

STUDY OF A THREE-AXIS PIEZORESISTIVE ACCELEROMETER WITH UNIFORM AXIAL SENSITIVITIES

STUDY OF A THREE-AXIS PIEZORESISTIVE ACCELEROMETER WITH UNIFORM AXIAL SENSITIVITIES STUDY OF A THREE-AXIS PIEZORESISTIVE ACCELEROMETER WITH UNIFORM AXIAL SENSITIVITIES Abdelkader Benchou, PhD Canddate Nasreddne Benmoussa, PhD Kherreddne Ghaffour, PhD Unversty of Tlemcen/Unt of Materals

More information

MAE140 - Linear Circuits - Winter 16 Midterm, February 5

MAE140 - Linear Circuits - Winter 16 Midterm, February 5 Instructons ME140 - Lnear Crcuts - Wnter 16 Mdterm, February 5 () Ths exam s open book. You may use whatever wrtten materals you choose, ncludng your class notes and textbook. You may use a hand calculator

More information

Module 3 LOSSY IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur

Module 3 LOSSY IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur Module 3 LOSSY IMAGE COMPRESSION SYSTEMS Verson ECE IIT, Kharagpur Lesson 6 Theory of Quantzaton Verson ECE IIT, Kharagpur Instructonal Objectves At the end of ths lesson, the students should be able to:

More information

Formulation of Circuit Equations

Formulation of Circuit Equations ECE 570 Sesson 2 IC 752E Computer Aded Engneerng for Integrated Crcuts Formulaton of Crcut Equatons Bascs of crcut modelng 1. Notaton 2. Crcut elements 3. Krchoff laws 4. ableau formulaton 5. Modfed nodal

More information

Lecture 8: Time & Clocks. CDK: Sections TVS: Sections

Lecture 8: Time & Clocks. CDK: Sections TVS: Sections Lecture 8: Tme & Clocks CDK: Sectons 11.1 11.4 TVS: Sectons 6.1 6.2 Topcs Synchronzaton Logcal tme (Lamport) Vector clocks We assume there are benefts from havng dfferent systems n a network able to agree

More information

Thermal-Fluids I. Chapter 18 Transient heat conduction. Dr. Primal Fernando Ph: (850)

Thermal-Fluids I. Chapter 18 Transient heat conduction. Dr. Primal Fernando Ph: (850) hermal-fluds I Chapter 18 ransent heat conducton Dr. Prmal Fernando prmal@eng.fsu.edu Ph: (850) 410-6323 1 ransent heat conducton In general, he temperature of a body vares wth tme as well as poston. In

More information

matter consists, measured in coulombs (C) 1 C of charge requires electrons Law of conservation of charge: charge cannot be created or

matter consists, measured in coulombs (C) 1 C of charge requires electrons Law of conservation of charge: charge cannot be created or Basc Concepts Oerew SI Prefxes Defntons: Current, Voltage, Power, & Energy Passe sgn conenton Crcut elements Ideal s Portland State Unersty ECE 221 Basc Concepts Ver. 1.24 1 Crcut Analyss: Introducton

More information

Topic 23 - Randomized Complete Block Designs (RCBD)

Topic 23 - Randomized Complete Block Designs (RCBD) Topc 3 ANOVA (III) 3-1 Topc 3 - Randomzed Complete Block Desgns (RCBD) Defn: A Randomzed Complete Block Desgn s a varant of the completely randomzed desgn (CRD) that we recently learned. In ths desgn,

More information

An Upper Bound on SINR Threshold for Call Admission Control in Multiple-Class CDMA Systems with Imperfect Power-Control

An Upper Bound on SINR Threshold for Call Admission Control in Multiple-Class CDMA Systems with Imperfect Power-Control An Upper Bound on SINR Threshold for Call Admsson Control n Multple-Class CDMA Systems wth Imperfect ower-control Mahmoud El-Sayes MacDonald, Dettwler and Assocates td. (MDA) Toronto, Canada melsayes@hotmal.com

More information

CHAPTER 13. Exercises. E13.1 The emitter current is given by the Shockley equation:

CHAPTER 13. Exercises. E13.1 The emitter current is given by the Shockley equation: HPT 3 xercses 3. The emtter current s gen by the Shockley equaton: S exp VT For operaton wth, we hae exp >> S >>, and we can wrte VT S exp VT Solng for, we hae 3. 0 6ln 78.4 mv 0 0.784 5 4.86 V VT ln 4

More information

DESIGN AND ANALYSIS OF NEGATIVE VALUE CIRCUIT COMPONENTS IN PSPICE SIMULATION SOFTWARE

DESIGN AND ANALYSIS OF NEGATIVE VALUE CIRCUIT COMPONENTS IN PSPICE SIMULATION SOFTWARE Computer Modellng and New Technologes, 2013, vol. 17, no. 2, 53 59 Transport and Telecommuncaton Insttute, Lomonosov 1, LV-1019, Rga, Latva DESIGN AND ANALYSIS OF NEGATIVE VALUE CIRCUIT COMPONENTS IN PSPICE

More information

Micro grid stability improvements by employing storage

Micro grid stability improvements by employing storage Lousana State Unversty LSU Dgtal Commons LSU Master's heses Graduate School 01 Mcro grd stablty mprovements by employng storage Sumt Lamchhane Lousana State Unversty and Agrcultural and Mechancal College

More information

Lab 2e Thermal System Response and Effective Heat Transfer Coefficient

Lab 2e Thermal System Response and Effective Heat Transfer Coefficient 58:080 Expermental Engneerng 1 OBJECTIVE Lab 2e Thermal System Response and Effectve Heat Transfer Coeffcent Warnng: though the experment has educatonal objectves (to learn about bolng heat transfer, etc.),

More information

DO NOT DO HOMEWORK UNTIL IT IS ASSIGNED. THE ASSIGNMENTS MAY CHANGE UNTIL ANNOUNCED.

DO NOT DO HOMEWORK UNTIL IT IS ASSIGNED. THE ASSIGNMENTS MAY CHANGE UNTIL ANNOUNCED. EE 539 Homeworks Sprng 08 Updated: Tuesday, Aprl 7, 08 DO NOT DO HOMEWORK UNTIL IT IS ASSIGNED. THE ASSIGNMENTS MAY CHANGE UNTIL ANNOUNCED. For full credt, show all work. Some problems requre hand calculatons.

More information

Dynamic Modeling and Control of Multi-Machine Power System with FACTS Devices for Stability Enhancement

Dynamic Modeling and Control of Multi-Machine Power System with FACTS Devices for Stability Enhancement Dynamc Modelng and Control of Mult-Machne Power System wth FACTS Devces for Stablty Enhancement A thess submtted n partal fulfllment of the requrements for the degree of Doctor of Phlosophy n Electrcal

More information

An Admission Control Algorithm in Cloud Computing Systems

An Admission Control Algorithm in Cloud Computing Systems An Admsson Control Algorthm n Cloud Computng Systems Authors: Frank Yeong-Sung Ln Department of Informaton Management Natonal Tawan Unversty Tape, Tawan, R.O.C. ysln@m.ntu.edu.tw Yngje Lan Management Scence

More information

Airflow and Contaminant Simulation with CONTAM

Airflow and Contaminant Simulation with CONTAM Arflow and Contamnant Smulaton wth CONTAM George Walton, NIST CHAMPS Developers Workshop Syracuse Unversty June 19, 2006 Network Analogy Electrc Ppe, Duct & Ar Wre Ppe, Duct, or Openng Juncton Juncton

More information

Transfer Functions. Convenient representation of a linear, dynamic model. A transfer function (TF) relates one input and one output: ( ) system

Transfer Functions. Convenient representation of a linear, dynamic model. A transfer function (TF) relates one input and one output: ( ) system Transfer Functons Convenent representaton of a lnear, dynamc model. A transfer functon (TF) relates one nput and one output: x t X s y t system Y s The followng termnology s used: x y nput output forcng

More information

Section 7 - Controllers for drive systems

Section 7 - Controllers for drive systems Secton 7 - Controllers for drve systems Structure of a typcal drve control system Controllers Power Input Power Converter T,, Motor Load 2 Sensors n Electrc Drve Systems Current sensors: Resstve shunt,

More information

A Comparative Study for Estimation Parameters in Panel Data Model

A Comparative Study for Estimation Parameters in Panel Data Model A Comparatve Study for Estmaton Parameters n Panel Data Model Ahmed H. Youssef and Mohamed R. Abonazel hs paper examnes the panel data models when the regresson coeffcents are fxed random and mxed and

More information