A Detailed Comparative Study of ABC and Symmetrical Component Classification for Fault Analysis

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "A Detailed Comparative Study of ABC and Symmetrical Component Classification for Fault Analysis"

Transcription

1 The 2 nd Interntionl Power Engineering nd Optimiztion onferene (PEOO28), Shh lm, Selngor, MLYSI. 4-5 June 28. Detiled omprtive Study of nd Symmetril omponent lssifition for Fult nlysis Muhmmd Sufi Kmrudin, Shmsul izm ulkifli, Erwn Sulimn, Nur Hidyh Mokhtr strt -- This pper is study out symmetril nd unsymmetril fults. Symmetril fult whih is lso known s lned fult while unsymmetril fult is representing n unlned fult. Generlly this pper is foused on modeling the usr network systems whih onerns numeril studies of IEEE usr stndrd system testing. The +5% of industril network will e onsidered in order to demonstrte the fult lotion in every different senrio of lned nd unlned ondition. Moreover, the system is modeled in Simulink Mtl softwre then the simultion results re ompred with mnul lultion. The nlysis onsists of lssifition. Therefore, t the end of this pper network will e development nd study the hrteristis of nd symmetril sequenes with the simultion dt ville. Keywords :, lned fult, symmetril, unlned fult I. INTRODTION FLT studies form n importnt prt of power system nlysis. Fults on power systems re divided into two omponents whih re lned fults nd unlned fults. There re different types of unlned fults whih re single line-to-ground fult, line-to-line fult, nd doule line-to-ground fult. The dt ville re used for proper rely setting nd phse rely, while the line-to-ground fult is used for ground rely [2,11,14]. For the purpose of fult studies, the genertor ehvior n e divided into three periods whih re sutrnsient period, lsting only for the first few yles, the trnsient period, overing reltively longer time, nd finlly, the stedy stte period. lned fult is defined s the simultneous short iruit ross ll three phses. It ours infrequently, ut it is the most severe type of fult enountered. euse the network is lned, it is solved on per- phse sis. The other two phses rry identil urrents exept for the phse shift. It is different with unlned fult whih is lso known s unsymmetril fult, whih ontins of three types of fults where exmples re[1]: Line-to-line - short iruit etween lines, used y ioniztion of ir, or when lines ome into physil ontt, for exmple due to roken insultor [2]. Line-to-ground - short iruit etween one line nd ground, very often used y physil ontt, for exmple due to lightning or other storm dmge [2]. Trditionlly, these fults n e isolted y using relys nd iruit rekers whih re used to seprte the network from the high urrent. In fult nlysis, vlue of this urrent is lulted for the different types of fults t vrious lotions in the system. There is simple worked to mesure fult when it hppens in smll iruit rther thn in network [2]. ll the tehniques emody n urte lotion y mesuring only one lol end dt. The method provides n utomti determintion of fult lotion, rther thn requires engineer to speify them.. The lssifition II. TEHNIQES PPROH The lssifition distinguishes etween seven types of three phse unlned voltge sg. Expressions for the omplex voltges for these seven types re given in Tle I. The omplex prefult voltge in phse is indited y E 1. The voltge in the fulted phse or etween the fulted phses is indited y V * while,, re the phse voltge. TLE I SEVEN TYPES OF THREE PHSE NLNED VOLTGE SG ORDING TO LSSIFITION Voltge Phsors = V * = V * jv * = V * + jv * = V * = E 1 je 1 = E 1 + je 1 = E 1 = E 1 jv = E 1 + jv * * E F G = E 1 Voltge Phsors = V * jv * = V * + jv * = V * 1 = V * E1 + V * j = V * + E1 + V * j = E 1 + V * 1 = E1 + V * jv * = E1 + V * + jv *

2 Figure 1 to 7 show the grph for eh type indite y the Tle 1. The Symmetril omponent lssifition The symmetril-omponent lssifition does not suffer from the sme limittion s the lssifition. The symmetril-omponent lssifition distinguishes etween dips with the min voltge drop in one phse nd dips with the min voltge drop etween two phses. Fig 8 shows the voltge divider model for three-phse unlned voltge sg. Fig. 1. Voltge sg type : voltge wveform hlf-yle [1] Fig. 2. Voltge sg type : voltge wveform (left) hlf-yle [1] Fig. 8. Voltge divider model for three-phse unlned voltge sg lod Fig.. Voltge sg type : voltge wveform (left) hlf-yle [1] Fig. 4. Voltge sg type D: voltge wveform (left) hlf-yle [1] Fig. 5. Voltge sg type E: voltge wveform (left) hlf-yle [1] dyh1 dyh4 Fig. 6. Voltge sg type F: voltge wveform (left) hlf-yle [1] Three-Phse Soure1 Three-Phse V-I Mesurement2 Three-Phse Fult Three-Phse V-I Mesurement1 Three-Phse Series RL Lod In1Out1 Susystem D = V *, = V * je 1, = V * + je 1 Three-Phse V-I Mesurement4 Fig. 7. Voltge sg type G: voltge wveform (left) hlf-yle [1] Fig 9: The simulink model of the usr network system 268

3 Tle II. System Dt System Quntities Vlues Soure Voltge 11 kv System frequeny 5 Hz Soure impedne 1+8jΩ Lod power 666.5kW+ 1154kVrj Fult impedne 1+.1jΩ Fult time.5s Rted trnsformer 11/kV Trnsmission Lines L=.766Ω/km R=.561Ω/km The proess flow in determining the fults sequentil y using oth methods is shown in Fig. 1 Fig. 11. lned three phse fult Fig. 12. Single line-to-ground fult III RESLTS. lned Three Phse Fult Fig.1. Methodology proess. The simultion of the network in fult ondition ws onduted sed on lned nd unlned fults where the simulink model network system of the usr is shown in Fig 9. The dt used in the simultion shown in Tle II. In single line ground fult nlysis, phse is the fulted phse shown in Fig 12 nd three phse fult t Fig 11. lsifition In order to nlyze y using lssifition method, the vlue of voltge in the fulted phse t the P (point of ommon oupling etween the ustomer nd the user must e lulted using Eq. (1) + + * = 1 S V S2 + S + F + F 2 V* = kV E 1 (1) Voltge sg for eh of phses of lned three phse fult in found nd ompred with Fig

4 Therefore pek = V * = V * jv * = V * + jv * = kV, = kV pek = kV = V * jv * = k 12, = V * + jv * = k 12 pek = kV Symmetril omponents Sme s the dt otined in Fig 11. The result hs een ompred with this simultion result. F1 V = E 1 () + F1 V = kV PN ftor for lned three phse fult is F = E = 1 12kV Voltge sg for eh of phse n e lulted using Eq (2) Therefore = F = F jv = F + jv = 12kV pek rms = 2 pek = kV = V + jf = pek = kV = V jf = pek = kV (2). Single Line-to-Ground Fult lssifition Voltge sg for phse, phse nd phse of single phseto-ground fult in this tehnique is ompred with Fig. 12 where Symmetril omponents = V * = kV pek = kV = V * je1 = 128.8k pek = kV = V * + je1 = k pek = kV The hrteristi voltge of single phse-to-ground fult in Fig. 12 n e desrie y Eq (4) V = = + 1 S2 E + S + F + F 2 1 (4) + 1 2=12.149kV PN ftor for single phse-to-ground fult is F = 1 2 = 1 S2 + S + F + F2 F = 1 2 =12kV E 1 (5) Voltge sg for phse, phse nd phse of single phseto-ground fult hve een lulted nd ompre to Fig. 11 Therefore = kV pek = kV = V jf = V pek = kV = V + jf = V pek = kV 27

5 IV. ONLSION Systemti pproh overs ll ses nd is therefore preferle ove the lssifition, whih is more intuitive pproh [1-9,11,1,14]. The symmetril omponent lssifition does not suffer from the sme limittion s the lssifition. The symmetril omponent lssifition distinguishes etween dips with the min voltge drop etween two phses. This pper only onsidered in findings of the two other hrteristis whih re hrteristi voltge V nd the PN ftor F. The vlue of fult impedne is set to 1 Ω in order to get etter piture of the voltge sg itself. The igger vlue of fult impedne, the nerly vlue will e gined when ompred to the theory. Therefore, the etter hoie is to use symmetril omponent nlysis in order to gin the types of fult in network nlysis. The omprison study is shown in Tle III. TLE III OMPRISON ETWEEN LLTION ND SIMLTION VLE OF SYMMETRIL OMPONENT LSSIFITION ND LSSIFITION NLYSIS [7] T. Forford, J.R. Linders, pplition of high speed differentil rely for uses, mhines nd les, in presented t the rd nnul Western Protetive Rely onferene, Spokne, W, Otoer 18, [8] Sung-Min Woo, De-Wook Kng, Woo-hol Lee, Dong Seok Hyun. The Distriution for Reduing the Effet of Voltge Sg nd Swell. IEEE 21. pp (Rurl Eletri Power onferene 1996) pril 1996 [9] IEEE Std on Power Qulity. IEEE Reommended Prtie for Monitoring Eletri Power Qulity. (IEEE Stndrd 1995) [1] S.. ulkifli. Design nd Simultion of 24-Pulse D-Sttom for Voltge Sg Mitigtion. (Degree Thesis, Deprtment of Eletril nd Eletroni Engineering,Fulty of Engineering, niversiti Putr Mlysi) pril 2. [11] J.Dunn, S.Srm, Power System nlysis nd Design,ookd/ole Thompson Lerning,nited Sttes,22. [12] smrshid, Erwn,.. Kok, S.izm, Md. rfi. Eletri Power Systems, 1st Ed.Kuittho, Deemer, 26. pp [1] H.J.ollen, Y.H Irene, Signl Proessing of Power Qulity Disturnes, Wiley-Intersiene, nited Stte, 26. [14]. Dugn, F. MGrnghn, H.Wyne, Eletril Power Systems Qulity, MGrw-Hill s, New York, VII. IOGRPHIES Muhmmd Sufi Kmrudin otined his.eng degree in Eletril$ Engineering nd M Eng t TM, Mlysi in 2 nd 25, repetively. urrently he is leturer nd reserher in niversiti Tun Hussein Onn Mlysi. His interest res re high voltge engineering nd eletri motors. Shmsul izm ulkifli otined his.eng degree in Eletril & Eletroni Engineering nd Ms t niversity Putr Mlysi, Mlysi in 2 nd 26, repetively. urrently he is leturer nd reserher in niversiti Tun Hussein Onn Mlysi. His interest res re power qulity prolems, ustom power devies nd power system studies. V. REFERENES [1] P. K. Stpthy, D. Ds, nd P.. Dutt Gupt, novel fuzzy index for stedy stte voltge stility nlysis nd identifition of ritil usrs, Elet. Power Syst. Res., vol. 6, no. 2, pp , Sept. 22. Erwn Sulimn otined his.eng degree in Eletril & Eletroni Engineering nd M Eng. t M nd THM respetively. urrently he is leturer nd reserher in niversiti Tun Hussein Onn Mlysi. His interest res re renewle energy nd power system pplitions. Nur Hidyh Mokhtr urrently persuing her.eng degree in Eletril & Eletroni Engineering, t THM. Her interest res re power qulity prolems nd fults nlysis. [2] H. Sdt(22). Power System nlysis. New York: Milwukee Shool of Engineering [] S.H. Horowitz,.G.Phdke, Power System Relying, John Wiley nd Sons IN, New York, [4] R. Hughes, E. Legrnd, Numeril usr Protetion enefits of Numeril Tehnology in Eletril Susttion, Interntionl onferene on Developments in Power System Protetion, 21, IEEE Pu. No. 479, pp [5] R.M. Rifitt, onsidertions in pplying power us protetion shemes to industril nd IPP systems, Industry pplitions onferene, 22. 7th IS nnul Meeting. onferene Reord of the Industry pplition, vol., 22, pp [6] H. Hug, M. Forster, Eletroni us zone protetion, in: THE Proeedings of IGRE, Pris, June 1 2,

Symmetrical Components 1

Symmetrical Components 1 Symmetril Components. Introdution These notes should e red together with Setion. of your text. When performing stedy-stte nlysis of high voltge trnsmission systems, we mke use of the per-phse equivlent

More information

Investigations on Power Quality Disturbances Using Discrete Wavelet Transform

Investigations on Power Quality Disturbances Using Discrete Wavelet Transform I J E E E Interntionl Journl of Eletril, Eletronis ISSN No. (Online): 77-66 nd omputer Engineering (): 47-53(13) Investigtions on Power Qulity Disturnes Using Disrete Wvelet Trnsform hvn Jin, Shilendr

More information

Project 6: Minigoals Towards Simplifying and Rewriting Expressions

Project 6: Minigoals Towards Simplifying and Rewriting Expressions MAT 51 Wldis Projet 6: Minigols Towrds Simplifying nd Rewriting Expressions The distriutive property nd like terms You hve proly lerned in previous lsses out dding like terms ut one prolem with the wy

More information

Modeling of Catastrophic Failures in Power Systems

Modeling of Catastrophic Failures in Power Systems Modeling of tstrophi Filures in Power Systems hnn Singh nd lex Sprintson Deprtment of Eletril nd omputer Engineering Texs &M hnn Singh nd lex Sprintson Modeling of tstrophi Filures Motivtion Reent events

More information

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 CH 3. CH 3 C a. NMR spectroscopy. Different types of NMR

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 CH 3. CH 3 C a. NMR spectroscopy. Different types of NMR 6.. Spetrosopy NMR spetrosopy Different types of NMR NMR spetrosopy involves intertion of mterils with the lowenergy rdiowve region of the eletromgneti spetrum NMR spetrosopy is the sme tehnology s tht

More information

I 3 2 = I I 4 = 2A

I 3 2 = I I 4 = 2A ECE 210 Eletril Ciruit Anlysis University of llinois t Chigo 2.13 We re ske to use KCL to fin urrents 1 4. The key point in pplying KCL in this prolem is to strt with noe where only one of the urrents

More information

Matrices SCHOOL OF ENGINEERING & BUILT ENVIRONMENT. Mathematics (c) 1. Definition of a Matrix

Matrices SCHOOL OF ENGINEERING & BUILT ENVIRONMENT. Mathematics (c) 1. Definition of a Matrix tries Definition of tri mtri is regulr rry of numers enlosed inside rkets SCHOOL OF ENGINEERING & UIL ENVIRONEN Emple he following re ll mtries: ), ) 9, themtis ), d) tries Definition of tri Size of tri

More information

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 H 3 CH3 C. NMR spectroscopy. Different types of NMR

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 H 3 CH3 C. NMR spectroscopy. Different types of NMR 6.. Spetrosopy NMR spetrosopy Different types of NMR NMR spetrosopy involves intertion of mterils with the lowenergy rdiowve region of the eletromgneti spetrum NMR spetrosopy is the sme tehnology s tht

More information

Modeling and Simulation of Permanent Magnet Brushless Motor Drives using Simulink

Modeling and Simulation of Permanent Magnet Brushless Motor Drives using Simulink INDIAN INSTITUTE OF TECHNOLOGY, KHARAGPUR 72102, DECEMBER 27-29, 2002 25 Modeling nd Simultion of Permnent Mgnet Brushless Motor Dries using Simulink Mukesh Kumr, Bhim Singh nd B.P.Singh Astrt: Permnent

More information

H 4 H 8 N 2. Example 1 A compound is found to have an accurate relative formula mass of It is thought to be either CH 3.

H 4 H 8 N 2. Example 1 A compound is found to have an accurate relative formula mass of It is thought to be either CH 3. . Spetrosopy Mss spetrosopy igh resolution mss spetrometry n e used to determine the moleulr formul of ompound from the urte mss of the moleulr ion For exmple, the following moleulr formuls ll hve rough

More information

where the box contains a finite number of gates from the given collection. Examples of gates that are commonly used are the following: a b

where the box contains a finite number of gates from the given collection. Examples of gates that are commonly used are the following: a b CS 294-2 9/11/04 Quntum Ciruit Model, Solovy-Kitev Theorem, BQP Fll 2004 Leture 4 1 Quntum Ciruit Model 1.1 Clssil Ciruits - Universl Gte Sets A lssil iruit implements multi-output oolen funtion f : {0,1}

More information

3.15 NMR spectroscopy Different types of NMR There are two main types of NMR 1. C 13 NMR 2. H (proton) NMR

3.15 NMR spectroscopy Different types of NMR There are two main types of NMR 1. C 13 NMR 2. H (proton) NMR .5 NMR spetrosopy Different types of NMR There re two min types of NMR. NMR. (proton) NMR There is only round % in orgni moleules ut modern NMR mhines re sensitive enough to give full spetr for The spetr

More information

Analysis of Transient Phenomena Due to a Direct Lightning Strike on a Wind Energy System

Analysis of Transient Phenomena Due to a Direct Lightning Strike on a Wind Energy System Energies 212, 5, 2545-2558; doi:1.339/en572545 Artile OPEN ACCESS energies ISSN 1996-173 www.mdpi.om/journl/energies Anlysis of Trnsient Phenomen Due to Diret Lightning Strike on Wind Energy System Rfel

More information

NON-DETERMINISTIC FSA

NON-DETERMINISTIC FSA Tw o types of non-determinism: NON-DETERMINISTIC FS () Multiple strt-sttes; strt-sttes S Q. The lnguge L(M) ={x:x tkes M from some strt-stte to some finl-stte nd ll of x is proessed}. The string x = is

More information

A Non-parametric Approach in Testing Higher Order Interactions

A Non-parametric Approach in Testing Higher Order Interactions A Non-prmetri Approh in Testing igher Order Intertions G. Bkeerthn Deprtment of Mthemtis, Fulty of Siene Estern University, Chenkldy, Sri Lnk nd S. Smit Deprtment of Crop Siene, Fulty of Agriulture University

More information

SIDESWAY MAGNIFICATION FACTORS FOR STEEL MOMENT FRAMES WITH VARIOUS TYPES OF COLUMN BASES

SIDESWAY MAGNIFICATION FACTORS FOR STEEL MOMENT FRAMES WITH VARIOUS TYPES OF COLUMN BASES Advned Steel Constrution Vol., No., pp. 7-88 () 7 SIDESWAY MAGNIFICATION FACTORS FOR STEEL MOMENT FRAMES WIT VARIOUS TYPES OF COLUMN BASES J. ent sio Assoite Professor, Deprtment of Civil nd Environmentl

More information

LOSS COMPARISON OF TWO AND THREE-LEVEL INVERTER TOPOLOGIES

LOSS COMPARISON OF TWO AND THREE-LEVEL INVERTER TOPOLOGIES LOSS COPARSON OF TWO AND THREE-LEVEL NVERTER TOPOLOGES G.. Orfnoudis*, S.. Shrh*,. A. Yurtih nd. A. Ausr* * University of Southmpton, UK, TSL Tehnology, UK G..Orfnoudis@soton..u Keywords: nverter, DC-lin

More information

AP Calculus BC Chapter 8: Integration Techniques, L Hopital s Rule and Improper Integrals

AP Calculus BC Chapter 8: Integration Techniques, L Hopital s Rule and Improper Integrals AP Clulus BC Chpter 8: Integrtion Tehniques, L Hopitl s Rule nd Improper Integrls 8. Bsi Integrtion Rules In this setion we will review vrious integrtion strtegies. Strtegies: I. Seprte the integrnd into

More information

1.3 SCALARS AND VECTORS

1.3 SCALARS AND VECTORS Bridge Course Phy I PUC 24 1.3 SCLRS ND VECTORS Introdution: Physis is the study of nturl phenomen. The study of ny nturl phenomenon involves mesurements. For exmple, the distne etween the plnet erth nd

More information

Available online at ScienceDirect. Procedia Engineering 120 (2015 ) EUROSENSORS 2015

Available online at  ScienceDirect. Procedia Engineering 120 (2015 ) EUROSENSORS 2015 Aville online t www.sienediret.om SieneDiret Proedi Engineering 10 (015 ) 887 891 EUROSENSORS 015 A Fesiility Study for Self-Osillting Loop for Three Degreeof-Freedom Coupled MEMS Resontor Fore Sensor

More information

A Mathematical Model for Unemployment-Taking an Action without Delay

A Mathematical Model for Unemployment-Taking an Action without Delay Advnes in Dynmil Systems nd Applitions. ISSN 973-53 Volume Number (7) pp. -8 Reserh Indi Publitions http://www.ripublition.om A Mthemtil Model for Unemployment-Tking n Ation without Dely Gulbnu Pthn Diretorte

More information

3/8" Square (10 mm) Multi-Turn Cermet Trimmer

3/8 Square (10 mm) Multi-Turn Cermet Trimmer www.vishy.om 3/8" Squre ( mm) Multi-Turn Cermet Trimmer FEATURES Industril grde W t 70 C Vishy Spetrol Tests ording to CECC 400 or IEC 60393-1 Contt resistne vrition < 2 % Mteril tegoriztion: for definitions

More information

The Stirling Engine: The Heat Engine

The Stirling Engine: The Heat Engine Memoril University of Newfounln Deprtment of Physis n Physil Oenogrphy Physis 2053 Lortory he Stirling Engine: he Het Engine Do not ttempt to operte the engine without supervision. Introution Het engines

More information

Large Scale Wind Power Integration into Power Networks Using SVS and Series Reactance

Large Scale Wind Power Integration into Power Networks Using SVS and Series Reactance Pro. of the 5th WSEAS/IASME Int. Conf. on Eletri Power Systems, High Voltges, Eletri Mhines, Tenerife, Spin, Deemer 16-18, 2005 (pp496-502) Lrge Sle Wind Power Integrtion into Power Networks Using SVS

More information

5 mm Square Surface Mount Miniature Trimmers Single-Turn Cermet Fully Sealed

5 mm Square Surface Mount Miniature Trimmers Single-Turn Cermet Fully Sealed www.vishy.om Vishy Sfernie mm Squre Surfe Mount Miniture Trimmers Single-Turn Cermet Fully Seled The trimming potentiometer hs een designed for surfe mount pplitions nd offers volumetri effiieny ( mm x

More information

POLYPHASE CIRCUITS. Introduction:

POLYPHASE CIRCUITS. Introduction: POLYPHASE CIRCUITS Introduction: Three-phse systems re commonly used in genertion, trnsmission nd distribution of electric power. Power in three-phse system is constnt rther thn pulsting nd three-phse

More information

Lecture 27: Diffusion of Ions: Part 2: coupled diffusion of cations and

Lecture 27: Diffusion of Ions: Part 2: coupled diffusion of cations and Leture 7: iffusion of Ions: Prt : oupled diffusion of tions nd nions s desried y Nernst-Plnk Eqution Tody s topis Continue to understnd the fundmentl kinetis prmeters of diffusion of ions within n eletrilly

More information

Introduction to Olympiad Inequalities

Introduction to Olympiad Inequalities Introdution to Olympid Inequlities Edutionl Studies Progrm HSSP Msshusetts Institute of Tehnology Snj Simonovikj Spring 207 Contents Wrm up nd Am-Gm inequlity 2. Elementry inequlities......................

More information

6.5 Improper integrals

6.5 Improper integrals Eerpt from "Clulus" 3 AoPS In. www.rtofprolemsolving.om 6.5. IMPROPER INTEGRALS 6.5 Improper integrls As we ve seen, we use the definite integrl R f to ompute the re of the region under the grph of y =

More information

a) Read over steps (1)- (4) below and sketch the path of the cycle on a P V plot on the graph below. Label all appropriate points.

a) Read over steps (1)- (4) below and sketch the path of the cycle on a P V plot on the graph below. Label all appropriate points. Prole 3: Crnot Cyle of n Idel Gs In this prole, the strting pressure P nd volue of n idel gs in stte, re given he rtio R = / > of the volues of the sttes nd is given Finlly onstnt γ = 5/3 is given You

More information

5.4 The Quarter-Wave Transformer

5.4 The Quarter-Wave Transformer 3/4/7 _4 The Qurter Wve Trnsformer /.4 The Qurter-Wve Trnsformer Redg Assignment: pp. 73-76, 4-43 By now you ve noticed tht qurter-wve length of trnsmission le ( = λ 4, β = π ) ppers often microwve engeerg

More information

Maximum Power Point Tracking Algorithm with Turn Round Measurement and Curve Fitting Method for Solar Generation System

Maximum Power Point Tracking Algorithm with Turn Round Measurement and Curve Fitting Method for Solar Generation System WSEAS TRANSACTIONS on CIRCITS nd SYSTEMS S Pn, Ynd Li, Sn-Bo Pn, Chendong Lin Mximum Power Point Trking Algorithm with Turn Round Mesurement nd Curve Fitting Method for Solr Genertion System S Pn, Ynd

More information

A Simulation Study of Crazy-PSO Controller For Direct Matrix Converter

A Simulation Study of Crazy-PSO Controller For Direct Matrix Converter A multion Study of Crzy-PSO Controller For Diret Mtrix Converter Hlu Gözde 1, M.Cengiz Tplmıoğlu 1 Gzi University, Mltepe, Anr, Turey hlugozde@gmil.om University of Turish Aeronutil Assoition, Anr, Turey

More information

Lesson 2: The Pythagorean Theorem and Similar Triangles. A Brief Review of the Pythagorean Theorem.

Lesson 2: The Pythagorean Theorem and Similar Triangles. A Brief Review of the Pythagorean Theorem. 27 Lesson 2: The Pythgoren Theorem nd Similr Tringles A Brief Review of the Pythgoren Theorem. Rell tht n ngle whih mesures 90º is lled right ngle. If one of the ngles of tringle is right ngle, then we

More information

SECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS

SECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS SECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS IN-SITU PROBING OF DOMAIN POLING IN Bi 4 Ti 3 O 12 THIN FILMS BY OPTICAL SECOND HARMONIC GENERATION YANIV BARAD, VENKATRAMAN GOPALAN Mterils Reserh Lortory

More information

Numbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point

Numbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point GCSE C Emple 7 Work out 9 Give your nswer in its simplest form Numers n inies Reiprote mens invert or turn upsie own The reiprol of is 9 9 Mke sure you only invert the frtion you re iviing y 7 You multiply

More information

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue TITLE: OBJECTIVE: AUTHOR: SPONSORS: Effets of Drought on the Performne of Two Hyrid Bluegrsses, Kentuky Bluegrss nd Tll Fesue Evlute the effets of drought on the visul qulity nd photosynthesis in two hyrid

More information

DETERMINING SIGNIFICANT FACTORS AND THEIR EFFECTS ON SOFTWARE ENGINEERING PROCESS QUALITY

DETERMINING SIGNIFICANT FACTORS AND THEIR EFFECTS ON SOFTWARE ENGINEERING PROCESS QUALITY DETERMINING SIGNIFINT FTORS ND THEIR EFFETS ON SOFTWRE ENGINEERING PROESS QULITY R. Rdhrmnn Jeng-Nn Jung Mil to: rdhrmn_r@merer.edu jung_jn@merer.edu Shool of Engineering, Merer Universit, Mon, G 37 US

More information

Arrow s Impossibility Theorem

Arrow s Impossibility Theorem Rep Voting Prdoxes Properties Arrow s Theorem Arrow s Impossiility Theorem Leture 12 Arrow s Impossiility Theorem Leture 12, Slide 1 Rep Voting Prdoxes Properties Arrow s Theorem Leture Overview 1 Rep

More information

Nondeterministic Finite Automata

Nondeterministic Finite Automata Nondeterministi Finite utomt The Power of Guessing Tuesdy, Otoer 4, 2 Reding: Sipser.2 (first prt); Stoughton 3.3 3.5 S235 Lnguges nd utomt eprtment of omputer Siene Wellesley ollege Finite utomton (F)

More information

Calculus Cheat Sheet. Integrals Definitions. where F( x ) is an anti-derivative of f ( x ). Fundamental Theorem of Calculus. dx = f x dx g x dx

Calculus Cheat Sheet. Integrals Definitions. where F( x ) is an anti-derivative of f ( x ). Fundamental Theorem of Calculus. dx = f x dx g x dx Clulus Chet Sheet Integrls Definitions Definite Integrl: Suppose f ( ) is ontinuous Anti-Derivtive : An nti-derivtive of f ( ) on [, ]. Divide [, ] into n suintervls of is funtion, F( ), suh tht F = f.

More information

Solutions for HW9. Bipartite: put the red vertices in V 1 and the black in V 2. Not bipartite!

Solutions for HW9. Bipartite: put the red vertices in V 1 and the black in V 2. Not bipartite! Solutions for HW9 Exerise 28. () Drw C 6, W 6 K 6, n K 5,3. C 6 : W 6 : K 6 : K 5,3 : () Whih of the following re iprtite? Justify your nswer. Biprtite: put the re verties in V 1 n the lk in V 2. Biprtite:

More information

LIP. Laboratoire de l Informatique du Parallélisme. Ecole Normale Supérieure de Lyon

LIP. Laboratoire de l Informatique du Parallélisme. Ecole Normale Supérieure de Lyon LIP Lortoire de l Informtique du Prllélisme Eole Normle Supérieure de Lyon Institut IMAG Unité de reherhe ssoiée u CNRS n 1398 One-wy Cellulr Automt on Cyley Grphs Zsuzsnn Rok Mrs 1993 Reserh Report N

More information

Section 4.4. Green s Theorem

Section 4.4. Green s Theorem The Clulus of Funtions of Severl Vriles Setion 4.4 Green s Theorem Green s theorem is n exmple from fmily of theorems whih onnet line integrls (nd their higher-dimensionl nlogues) with the definite integrls

More information

Module B3 3.1 Sinusoidal steady-state analysis (single-phase), a review 3.2 Three-phase analysis. Kirtley

Module B3 3.1 Sinusoidal steady-state analysis (single-phase), a review 3.2 Three-phase analysis. Kirtley Module B.1 Siusoidl stedy-stte lysis (sigle-phse), review.2 Three-phse lysis Kirtley Chpter 2: AC Voltge, Curret d Power 2.1 Soures d Power 2.2 Resistors, Idutors, d Cpitors Chpter 4: Polyphse systems

More information

Chapter Gauss Quadrature Rule of Integration

Chapter Gauss Quadrature Rule of Integration Chpter 7. Guss Qudrture Rule o Integrtion Ater reding this hpter, you should e le to:. derive the Guss qudrture method or integrtion nd e le to use it to solve prolems, nd. use Guss qudrture method to

More information

QUADRATIC EQUATION EXERCISE - 01 CHECK YOUR GRASP

QUADRATIC EQUATION EXERCISE - 01 CHECK YOUR GRASP QUADRATIC EQUATION EXERCISE - 0 CHECK YOUR GRASP. Sine sum of oeffiients 0. Hint : It's one root is nd other root is 8 nd 5 5. tn other root 9. q 4p 0 q p q p, q 4 p,,, 4 Hene 7 vlues of (p, q) 7 equtions

More information

Chapter 9 Definite Integrals

Chapter 9 Definite Integrals Chpter 9 Definite Integrls In the previous chpter we found how to tke n ntiderivtive nd investigted the indefinite integrl. In this chpter the connection etween ntiderivtives nd definite integrls is estlished

More information

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES PAIR OF LINEAR EQUATIONS IN TWO VARIABLES. Two liner equtions in the sme two vriles re lled pir of liner equtions in two vriles. The most generl form of pir of liner equtions is x + y + 0 x + y + 0 where,,,,,,

More information

Counting Paths Between Vertices. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs

Counting Paths Between Vertices. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs Isomorphism of Grphs Definition The simple grphs G 1 = (V 1, E 1 ) n G = (V, E ) re isomorphi if there is ijetion (n oneto-one n onto funtion) f from V 1 to V with the property tht n re jent in G 1 if

More information

A Comparison of Dynamic Tyre Models for Vehicle Shimmy Stability Analysis

A Comparison of Dynamic Tyre Models for Vehicle Shimmy Stability Analysis A Comprison of Dynmi Tyre Models for Vehile Shimmy Stility Anlysis J.W.L.H. Ms DCT 009.101 MS Thesis Supervisors: Prof. Dr. H. Nijmeijer (TU/e) Dr. Ir. I.J.M. Besselink (TU/e) Ir. S.G.J. de Cok (DAF Truks)

More information

Wavelet Packet Transform Based Power Quality Analysis تحليل جودة القدرة باعتماد تحويله حزمة المويجة

Wavelet Packet Transform Based Power Quality Analysis تحليل جودة القدرة باعتماد تحويله حزمة المويجة 34 Wvelet Pket Trnsform Bsed Power Qulity Anlysis Dr. Adel A. OBED Eletril Deprtment, College of Engineering, Bsrh University. delrzn@yhoo.om Abstrt: This pper presents dignosti tehnique for power qulity

More information

Reflection Property of a Hyperbola

Reflection Property of a Hyperbola Refletion Propert of Hperol Prefe The purpose of this pper is to prove nltill nd to illustrte geometrill the propert of hperol wherein r whih emntes outside the onvit of the hperol, tht is, etween the

More information

for all x in [a,b], then the area of the region bounded by the graphs of f and g and the vertical lines x = a and x = b is b [ ( ) ( )] A= f x g x dx

for all x in [a,b], then the area of the region bounded by the graphs of f and g and the vertical lines x = a and x = b is b [ ( ) ( )] A= f x g x dx Applitions of Integrtion Are of Region Between Two Curves Ojetive: Fin the re of region etween two urves using integrtion. Fin the re of region etween interseting urves using integrtion. Desrie integrtion

More information

1. For each of the following theorems, give a two or three sentence sketch of how the proof goes or why it is not true.

1. For each of the following theorems, give a two or three sentence sketch of how the proof goes or why it is not true. York University CSE 2 Unit 3. DFA Clsses Converting etween DFA, NFA, Regulr Expressions, nd Extended Regulr Expressions Instructor: Jeff Edmonds Don t chet y looking t these nswers premturely.. For ech

More information

ELECTRODYNAMIC FORCES BETWEEN TWO DC BUSBARS DISTRIBUTION SYSTEMS CONDUCTORS

ELECTRODYNAMIC FORCES BETWEEN TWO DC BUSBARS DISTRIBUTION SYSTEMS CONDUCTORS U.P.B. Sci. Bull., Series C, Vol. 78, Iss., 16 ISSN 86-354 ELECTRODYNAMIC FORCES BETWEEN TWO DC BUSBARS DISTRIBUTION SYSTEMS CONDUCTORS Mri-Ctlin PETRESCU 1, Lucin PETRESCU This pper nlzes DC usr sstem

More information

Arrow s Impossibility Theorem

Arrow s Impossibility Theorem Rep Fun Gme Properties Arrow s Theorem Arrow s Impossiility Theorem Leture 12 Arrow s Impossiility Theorem Leture 12, Slide 1 Rep Fun Gme Properties Arrow s Theorem Leture Overview 1 Rep 2 Fun Gme 3 Properties

More information

Dense Coding, Teleportation, No Cloning

Dense Coding, Teleportation, No Cloning qitd352 Dense Coding, Teleporttion, No Cloning Roert B. Griffiths Version of 8 Ferury 2012 Referenes: NLQI = R. B. Griffiths, Nture nd lotion of quntum informtion Phys. Rev. A 66 (2002) 012311; http://rxiv.org/rhive/qunt-ph/0203058

More information

Fully Sealed Container Cermet Potentiometer Professional Grade

Fully Sealed Container Cermet Potentiometer Professional Grade Fully Seled Continer Cermet Potentiometer Professionl Grde Their exellent performnes re due to the use of ermet-trk seled in lrge se. interhngeility with RV6, omined with the exellent stility of its rted

More information

ILLUSTRATING THE EXTENSION OF A SPECIAL PROPERTY OF CUBIC POLYNOMIALS TO NTH DEGREE POLYNOMIALS

ILLUSTRATING THE EXTENSION OF A SPECIAL PROPERTY OF CUBIC POLYNOMIALS TO NTH DEGREE POLYNOMIALS ILLUSTRATING THE EXTENSION OF A SPECIAL PROPERTY OF CUBIC POLYNOMIALS TO NTH DEGREE POLYNOMIALS Dvid Miller West Virgini University P.O. BOX 6310 30 Armstrong Hll Morgntown, WV 6506 millerd@mth.wvu.edu

More information

Linear Systems with Constant Coefficients

Linear Systems with Constant Coefficients Liner Systems with Constnt Coefficients 4-3-05 Here is system of n differentil equtions in n unknowns: x x + + n x n, x x + + n x n, x n n x + + nn x n This is constnt coefficient liner homogeneous system

More information

= state, a = reading and q j

= state, a = reading and q j 4 Finite Automt CHAPTER 2 Finite Automt (FA) (i) Derterministi Finite Automt (DFA) A DFA, M Q, q,, F, Where, Q = set of sttes (finite) q Q = the strt/initil stte = input lphet (finite) (use only those

More information

Physics 505 Homework No. 11 Solutions S11-1

Physics 505 Homework No. 11 Solutions S11-1 Physis 55 Homework No 11 s S11-1 1 This problem is from the My, 24 Prelims Hydrogen moleule Consider the neutrl hydrogen moleule, H 2 Write down the Hmiltonin keeping only the kineti energy terms nd the

More information

Chem Homework 11 due Monday, Apr. 28, 2014, 2 PM

Chem Homework 11 due Monday, Apr. 28, 2014, 2 PM Chem 44 - Homework due ondy, pr. 8, 4, P.. . Put this in eq 8.4 terms: E m = m h /m e L for L=d The degenery in the ring system nd the inresed sping per level (4x bigger) mkes the sping between the HOO

More information

Chapter 4 State-Space Planning

Chapter 4 State-Space Planning Leture slides for Automted Plnning: Theory nd Prtie Chpter 4 Stte-Spe Plnning Dn S. Nu CMSC 722, AI Plnning University of Mrylnd, Spring 2008 1 Motivtion Nerly ll plnning proedures re serh proedures Different

More information

SEQUENTIAL MOVEMENT IN THE GREAT FISH WAR: A PRELIMINARY ANALYSIS

SEQUENTIAL MOVEMENT IN THE GREAT FISH WAR: A PRELIMINARY ANALYSIS Mjlh Bdn Pengkjin dn Penerpn Teknologi No. 79, Feruri 997 ISSN 06-6569 SEQUENTIAL MOVEMENT IN THE GREAT FISH WAR: A PRELIMINARY ANALYSIS Budy P. Resosudrmo Direktort Pengkjin Sistem Sosil, Ekonomi dn Pengemngn

More information

Solution of Tutorial 2 Converter driven DC motor drive

Solution of Tutorial 2 Converter driven DC motor drive chool of Electricl Engineering & Telecommunictions, UNW olution of Tutoril Converter driven DC motor drive Question 1. T V s D V I L E V 50 V,.5, I 0 A rted rted f 400 Hz, 0 rev/ min s rted (i) 0 6.8 rd

More information

Synchronization of different 3D chaotic systems by generalized active control

Synchronization of different 3D chaotic systems by generalized active control ISSN 746-7659, Englnd, UK Journl of Informtion nd Computing Siene Vol. 7, No. 4, 0, pp. 7-8 Synhroniztion of different D hoti systems y generlized tive ontrol Mohmmd Ali Khn Deprtment of Mthemtis, Grhet

More information

Data Compression Techniques (Spring 2012) Model Solutions for Exercise 4

Data Compression Techniques (Spring 2012) Model Solutions for Exercise 4 58487 Dt Compressio Tehiques (Sprig 0) Moel Solutios for Exerise 4 If you hve y fee or orretios, plese ott jro.lo t s.helsii.fi.. Prolem: Let T = Σ = {,,, }. Eoe T usig ptive Huffm oig. Solutio: R 4 U

More information

Thermodynamics. Question 1. Question 2. Question 3 3/10/2010. Practice Questions PV TR PV T R

Thermodynamics. Question 1. Question 2. Question 3 3/10/2010. Practice Questions PV TR PV T R /10/010 Question 1 1 mole of idel gs is rought to finl stte F y one of three proesses tht hve different initil sttes s shown in the figure. Wht is true for the temperture hnge etween initil nd finl sttes?

More information

A Battery Energy Storage Based Virtual Synchronous Generator

A Battery Energy Storage Based Virtual Synchronous Generator 3 IREP Syposiu-ulk Syste Dynis nd ontrol -IX (IREP), ugust 5-3, 3, Rethynon, Greee ttery Energy Storge sed Virtul Synhronous Genertor. Vssilkis, V. Krpnos P. Kotspopoulos, N. Htzirgyriou IEEE ener Ntionl

More information

Homework Solution - Set 5 Due: Friday 10/03/08

Homework Solution - Set 5 Due: Friday 10/03/08 CE 96 Introduction to the Theory of Computtion ll 2008 Homework olution - et 5 Due: ridy 10/0/08 1. Textook, Pge 86, Exercise 1.21. () 1 2 Add new strt stte nd finl stte. Mke originl finl stte non-finl.

More information

Precomputation for Multi-constrained QoS Routing in High-speed Networks

Precomputation for Multi-constrained QoS Routing in High-speed Networks Preomputtion for Multi-onstrined QoS Routing in High-speed Networs Yong Cui, Ke Xu, Jinping Wu Deprtment of Computer Siene, Tsinghu University, Beijing, PRChin, 100084 {y, xue}@snet1stsinghuedun; jinping@ernetedun

More information

Problems set # 3 Physics 169 February 24, 2015

Problems set # 3 Physics 169 February 24, 2015 Prof. Anhordoqui Problems set # 3 Physis 169 Februry 4, 015 1. A point hrge q is loted t the enter of uniform ring hving liner hrge density λ nd rdius, s shown in Fig. 1. Determine the totl eletri flux

More information

Calculus Module C21. Areas by Integration. Copyright This publication The Northern Alberta Institute of Technology All Rights Reserved.

Calculus Module C21. Areas by Integration. Copyright This publication The Northern Alberta Institute of Technology All Rights Reserved. Clculus Module C Ares Integrtion Copright This puliction The Northern Alert Institute of Technolog 7. All Rights Reserved. LAST REVISED Mrch, 9 Introduction to Ares Integrtion Sttement of Prerequisite

More information

Math 32B Discussion Session Week 8 Notes February 28 and March 2, f(b) f(a) = f (t)dt (1)

Math 32B Discussion Session Week 8 Notes February 28 and March 2, f(b) f(a) = f (t)dt (1) Green s Theorem Mth 3B isussion Session Week 8 Notes Februry 8 nd Mrh, 7 Very shortly fter you lerned how to integrte single-vrible funtions, you lerned the Fundmentl Theorem of lulus the wy most integrtion

More information

Section 4: Integration ECO4112F 2011

Section 4: Integration ECO4112F 2011 Reding: Ching Chpter Section : Integrtion ECOF Note: These notes do not fully cover the mteril in Ching, ut re ment to supplement your reding in Ching. Thus fr the optimistion you hve covered hs een sttic

More information

z TRANSFORMS z Transform Basics z Transform Basics Transfer Functions Back to the Time Domain Transfer Function and Stability

z TRANSFORMS z Transform Basics z Transform Basics Transfer Functions Back to the Time Domain Transfer Function and Stability TRASFORS Trnsform Bsics Trnsfer Functions Bck to the Time Domin Trnsfer Function nd Stility DSP-G 6. Trnsform Bsics The definition of the trnsform for digitl signl is: -n X x[ n is complex vrile The trnsform

More information

MCH T 111 Handout Triangle Review Page 1 of 3

MCH T 111 Handout Triangle Review Page 1 of 3 Hnout Tringle Review Pge of 3 In the stuy of sttis, it is importnt tht you e le to solve lgeri equtions n tringle prolems using trigonometry. The following is review of trigonometry sis. Right Tringle:

More information

Semantic Analysis. CSCI 3136 Principles of Programming Languages. Faculty of Computer Science Dalhousie University. Winter Reading: Chapter 4

Semantic Analysis. CSCI 3136 Principles of Programming Languages. Faculty of Computer Science Dalhousie University. Winter Reading: Chapter 4 Semnti nlysis SI 16 Priniples of Progrmming Lnguges Fulty of omputer Siene Dlhousie University Winter 2012 Reding: hpter 4 Motivtion Soure progrm (hrter strem) Snner (lexil nlysis) Front end Prse tree

More information

Lecture 11 Binary Decision Diagrams (BDDs)

Lecture 11 Binary Decision Diagrams (BDDs) C 474A/57A Computer-Aie Logi Design Leture Binry Deision Digrms (BDDs) C 474/575 Susn Lyseky o 3 Boolen Logi untions Representtions untion n e represente in ierent wys ruth tle, eqution, K-mp, iruit, et

More information

QUADRATIC EQUATION. Contents

QUADRATIC EQUATION. Contents QUADRATIC EQUATION Contents Topi Pge No. Theory 0-04 Exerise - 05-09 Exerise - 09-3 Exerise - 3 4-5 Exerise - 4 6 Answer Key 7-8 Syllus Qudrti equtions with rel oeffiients, reltions etween roots nd oeffiients,

More information

Exact Solutions of Three Nonlinear Heat Transfer Problems

Exact Solutions of Three Nonlinear Heat Transfer Problems Engineering Letters, 9:3, EL_9_3_ Ext Solutions of Three Nonliner Het Trnsfer Prolems Mohmmd Dnish, Shshi Kumr nd Surendr Kumr Astrt In this work, three nonliner het trnsfer prolems nmely, stedy stte het

More information

High speed machines using advanced magnetic materials analyzed by appropriate finite element models

High speed machines using advanced magnetic materials analyzed by appropriate finite element models High speed mchines using dvnced mgnetic mterils nlyzed y pproprite finite element models G. D. KALOKIRIS, A. G. KLADAS Lortory of Electricl Mchines nd Power Electronics, Electric Power Division Fculty

More information

An Intelligent System for Machinery Wear Debris using Evolutionary Algorithms

An Intelligent System for Machinery Wear Debris using Evolutionary Algorithms Mhine Helth An Intelligent System for Mhinery Wer Debris using Evolutionry Algorithms Wleed Sqib Grdute Student, SEECS, NUST Emil: 3mseewsqib@seesedupk Hmmd Iqbl Sherzi Assistnt Professor, SEECS, NUST

More information

OPEN NEWTON - COTES QUADRATURE WITH MIDPOINT DERIVATIVE FOR INTEGRATION OF ALGEBRAIC FUNCTIONS

OPEN NEWTON - COTES QUADRATURE WITH MIDPOINT DERIVATIVE FOR INTEGRATION OF ALGEBRAIC FUNCTIONS IJRET: Interntionl Journl of Reserch in Engineering nd Technology eissn: 9-6 pissn: -78 OPEN NEWTON - COTES QUADRATURE WITH MIDPOINT DERIVATIVE FOR INTEGRATION OF ALGEBRAIC FUNCTIONS T. Rmchndrn R.Priml

More information

Composite Pattern Matching in Time Series

Composite Pattern Matching in Time Series Composite Pttern Mthing in Time Series Asif Slekin, 1 M. Mustfizur Rhmn, 1 n Rihnul Islm 1 1 Deprtment of Computer Siene n Engineering, Bnglesh University of Engineering n Tehnology Dhk-1000, Bnglesh slekin@gmil.om

More information

MA10207B: ANALYSIS SECOND SEMESTER OUTLINE NOTES

MA10207B: ANALYSIS SECOND SEMESTER OUTLINE NOTES MA10207B: ANALYSIS SECOND SEMESTER OUTLINE NOTES CHARLIE COLLIER UNIVERSITY OF BATH These notes hve been typeset by Chrlie Collier nd re bsed on the leture notes by Adrin Hill nd Thoms Cottrell. These

More information

Line Integrals and Entire Functions

Line Integrals and Entire Functions Line Integrls nd Entire Funtions Defining n Integrl for omplex Vlued Funtions In the following setions, our min gol is to show tht every entire funtion n be represented s n everywhere onvergent power series

More information

MODELING AND SIMULATION OF SWITCHING MODE DC/DC CONVERTERS

MODELING AND SIMULATION OF SWITCHING MODE DC/DC CONVERTERS MODEING AND SIMUATION OF SWITHING MODE D/D ONVETES Željko JAKOPOVIĆ Feth KOONIĆ Ntko SOIĆ Fulty of eletril engineering nd omuting Unsk 3, H10000 ZAGEB, OATIA Abstrt Modeling nd simultion of swithing mode

More information

Defining Areas with Nil Landslide Hazard is a step toward a Comprehensive Landslide Loss Model

Defining Areas with Nil Landslide Hazard is a step toward a Comprehensive Landslide Loss Model is step towrd Comprehensive Lndslide Loss Model F.ASCE, F.GSA, Ame Foster Wheeler, Los Angeles, CA, USA, jeff.keton@mefw.om Consulting Insurne Atury, Huntington Beh, CA, USA, rjrothjr@verizon.net Astrt

More information

Modeling and Analysis of SLED

Modeling and Analysis of SLED Modelg nd Anlysis of SLED LI L,, FANG WenCheng,WANG Cho-Peng,GU Qing * Shnghi Institte of Applied Physis, Chese Ademy of Sienes, Shnghi 8, Ch University of Chese Ademy of Siene, Beijg 49, Ch Abstrt SLED

More information

Transition systems (motivation)

Transition systems (motivation) Trnsition systems (motivtion) Course Modelling of Conurrent Systems ( Modellierung neenläufiger Systeme ) Winter Semester 2009/0 University of Duisurg-Essen Brr König Tehing ssistnt: Christoph Blume In

More information

Ranking Generalized Fuzzy Numbers using centroid of centroids

Ranking Generalized Fuzzy Numbers using centroid of centroids Interntionl Journl of Fuzzy Logi Systems (IJFLS) Vol. No. July ning Generlize Fuzzy Numers using entroi of entrois S.Suresh u Y.L.P. Thorni N.vi Shnr Dept. of pplie Mthemtis GIS GITM University Vishptnm

More information

Professor Ramzy R. Obaid HW: Ch.8 # 6, 10, 11, and 12

Professor Ramzy R. Obaid HW: Ch.8 # 6, 10, 11, and 12 Three-Phse Systems Prt 2 Prfessr Rmzy R. Oid HW: Ch.8 # 6, 10, 11, nd 12 With mny thnks nd ppreitin t Prfessr Mhmed A. El-Shrkwi 3 Y-Cnnetin Sure nd Ld Sure Trnsmissin Line Line urrent Ld n Phse urrent

More information

Automatic Synthesis of New Behaviors from a Library of Available Behaviors

Automatic Synthesis of New Behaviors from a Library of Available Behaviors Automti Synthesis of New Behviors from Lirry of Aville Behviors Giuseppe De Giomo Università di Rom L Spienz, Rom, Itly degiomo@dis.unirom1.it Sestin Srdin RMIT University, Melourne, Austrli ssrdin@s.rmit.edu.u

More information

Sensorless Drive of Surface Mounted Permanent-Magnet Brushless DC Machines with Diametric Windings based on Inductance Measurements

Sensorless Drive of Surface Mounted Permanent-Magnet Brushless DC Machines with Diametric Windings based on Inductance Measurements Sensorless Drive of Surfe Mounted Permnent-Mgnet Brushless DC Mhines with Dimetri Windings sed on Indutne Mesurements Fien Griel, Frederik De Belie, Psl Druyts, Xvier Neyt nd Philippe Ltire Royl Militry

More information

If only one fertilizer x is used, the dependence of yield z(x) on x first was given by Mitscherlich (1909) in form of the differential equation

If only one fertilizer x is used, the dependence of yield z(x) on x first was given by Mitscherlich (1909) in form of the differential equation Mitsherlih s Lw: Generliztion with severl Fertilizers Hns Shneeerger Institute of Sttistis, University of Erlngen-Nürnerg, Germny 00, 5 th August Astrt: It is shown, tht the rop-yield z in dependene on

More information

Modelling the Electrolyte Flow in a Full-scale Copper Electrorefining Tankhouse Cell

Modelling the Electrolyte Flow in a Full-scale Copper Electrorefining Tankhouse Cell Modelling the Eletrolyte Flow in Full-sle Copper Eletrorefining Tnkhouse Cell Andres Kemminger, Andres Ludwig Montnuniversitet Leoben Deprtment Metllurgy, Chir of Simultion nd Modelling of Metllurgil Proesses

More information

Acoustic panels ACOUSTICS BUILDING FOR COMFORT AND HEALTH CEMENTED WOOD WOOL PANELS

Acoustic panels ACOUSTICS BUILDING FOR COMFORT AND HEALTH CEMENTED WOOD WOOL PANELS CEWOOD ousti pnels re nturl produt mde in Ltvi. Pnels re friendly both to environment nd humn helth, they re mde from premium qulity wood wool by dding white ement nd wter. CEWOOD pnels re omfortble nd

More information