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

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,

8 THREE PHASE A.C. CIRCUITS

8 THREE PHASE A.C. CIRCUITS 8 THREE PHSE.. IRUITS The signls in hpter 7 were sinusoidl lternting voltges nd urrents of the so-lled single se type. n emf of suh type n e esily generted y rotting single loop of ondutor (or single winding),

More information

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

Educational Modeling for Fault Analysis of Power Systems with STATCOM Controllers using Simulink

Educational Modeling for Fault Analysis of Power Systems with STATCOM Controllers using Simulink University of New Orlens SholrWorks@UNO University of New Orlens Theses nd Disserttions Disserttions nd Theses Fll 12-18-2014 Edutionl Modeling for Fult nlysis of Power Systems with STTOM ontrollers using

More information

Estimation of Sequence Components using Magnitude Information

Estimation of Sequence Components using Magnitude Information 6th NATIONAL POWER SYSTEMS CONFERENCE, 5th-7th DECEMBER, 2 47 Estimtion of Sequene Components using Mgnitude Informtion P.S. Ngendr ro nd Ssikirn Veknuru Deprtment of Eletril Engineering Indin Institute

More information

Dorf, R.C., Wan, Z. T- Equivalent Networks The Electrical Engineering Handbook Ed. Richard C. Dorf Boca Raton: CRC Press LLC, 2000

Dorf, R.C., Wan, Z. T- Equivalent Networks The Electrical Engineering Handbook Ed. Richard C. Dorf Boca Raton: CRC Press LLC, 2000 orf, R.C., Wn,. T- Equivlent Networks The Eletril Engineering Hndook Ed. Rihrd C. orf Bo Rton: CRC Press LLC, 000 9 T P Equivlent Networks hen Wn University of Cliforni, vis Rihrd C. orf University of

More information

Distributed Generation Placement in Unbalanced Distribution System with Seasonal Load Variation

Distributed Generation Placement in Unbalanced Distribution System with Seasonal Load Variation Distriuted Genertion Plement in Unlned Distriution System with Sesonl Lod Vrition Rvi Tej Bhimrsetti Dept. of Eletril Engg., NT Kurukshetr Kurukshetr, ndi svrtej@gmil.om Ashwni Kumr, Memer, EEE Dept. of

More information

Polyphase Systems. Objectives 23.1 INTRODUCTION

Polyphase Systems. Objectives 23.1 INTRODUCTION Polyphse Systems 23 Ojetives eome fmilir with the opertion of threephse genertor nd the mgnitude nd phse reltionship etween the three phse voltges. e le to lulte the voltges nd urrents for three-phse Y-onneted

More information

NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE

NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE V.S. Gordeev, G.A. Myskov Russin Federl Nuler Center All-Russi Sientifi Reserh Institute of Experimentl Physis (RFNC-VNIIEF)

More information

Polyphase Systems 22.1 INTRODUCTION

Polyphase Systems 22.1 INTRODUCTION 22 Polyphse Systems 22.1 INTRODUTION n genertor designed to develop single sinusoidl voltge for eh rottion of the shft (rotor) is referred to s single-phse genertor. If the numer of oils on the rotor is

More information

Analysis of transient recovery voltage on SF 6 circuit breakers when switching unloaded 400 kv transmission lines

Analysis of transient recovery voltage on SF 6 circuit breakers when switching unloaded 400 kv transmission lines The 12 th Interntionl Symposium on High-Voltge Tehnique "Höfler's Dys", 12 13 Novemer 2015, Portorož, Sloveni. 1 Anlysis of trnsient reovery voltge on SF 6 iruit rekers when swithing unloded 400 kv trnsmission

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

EE 330/330L Energy Systems (Spring 2012) Laboratory 1 Three-Phase Loads

EE 330/330L Energy Systems (Spring 2012) Laboratory 1 Three-Phase Loads ee330_spring2012_l_01_3phse_lods.do 1/5 EE 330/330L Energy Systems (Spring 2012) Lortory 1 ThreePhse Lods Introdution/Bkground In this lortory, you will mesure nd study the voltges, urrents, impednes,

More information

Research Article Comparative Studies of Different Switching Patterns for Direct and Indirect Space Vector Modulated Matrix Converter

Research Article Comparative Studies of Different Switching Patterns for Direct and Indirect Space Vector Modulated Matrix Converter dvnes in Power Eletronis Volume, rtile ID 854, 8 pges doi:.55//854 Reserh rtile omprtive Studies of Different Swithing Ptterns for Diret nd Indiret Spe Vetor Modulted Mtrix onverter min Shnpour, Ssn Gholmi,

More information

4. UNBALANCED 3 FAULTS

4. UNBALANCED 3 FAULTS 4. UNBALANCED AULTS So fr: we hve tudied lned fult ut unlned fult re more ommon. Need: to nlye unlned ytem. Could: nlye three-wire ytem V n V n V n Mot ommon fult type = ingle-phe to ground i.e. write

More information

Power System Representation and Equations. A one-line diagram of a simple power system

Power System Representation and Equations. A one-line diagram of a simple power system Power ystem epresenttion nd Equtions Lod B Lod A Bus Bus A oneline digrm of simple power system Oil or liquid iruit reker otting mhine Twowinding power trnsformer Wye onnetion, neutrl ground PerPhse, Per

More information

Engr354: Digital Logic Circuits

Engr354: Digital Logic Circuits Engr354: Digitl Logi Ciruits Chpter 4: Logi Optimiztion Curtis Nelson Logi Optimiztion In hpter 4 you will lern out: Synthesis of logi funtions; Anlysis of logi iruits; Tehniques for deriving minimum-ost

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

A SVC Based Control Algorithm for Load Balancing

A SVC Based Control Algorithm for Load Balancing Proeedings of the 7th WSEAS nterntionl onferene on Power Systems, eijing, hin, September 5-7, 7 A S sed ontrol Algorithm for od lning AHAD KAZEM kzemi@iust..ir A. MORAD KOOH Arshmordi@ee.iust..ir Ele.

More information

Lecture 6. CMOS Static & Dynamic Logic Gates. Static CMOS Circuit. PMOS Transistors in Series/Parallel Connection

Lecture 6. CMOS Static & Dynamic Logic Gates. Static CMOS Circuit. PMOS Transistors in Series/Parallel Connection NMOS Trnsistors in Series/Prllel onnetion Leture 6 MOS Stti & ynmi Logi Gtes Trnsistors n e thought s swith ontrolled y its gte signl NMOS swith loses when swith ontrol input is high Peter heung eprtment

More information

IEEE PES Boston Chapter. Protection Engineering Course Series. Instructor: Dean V. Sorensen (National Grid)

IEEE PES Boston Chapter. Protection Engineering Course Series. Instructor: Dean V. Sorensen (National Grid) ymmetril Components EEE PE Boston Chpter Protetion Engineering Course eries Fll nstrutor: Den. orensen (Ntionl Grid) ymmetril Components Disussion Topis History nd Desription The Generl ethod of ymmetril

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

ANALYSIS AND MODELLING OF RAINFALL EVENTS

ANALYSIS AND MODELLING OF RAINFALL EVENTS Proeedings of the 14 th Interntionl Conferene on Environmentl Siene nd Tehnology Athens, Greee, 3-5 Septemer 215 ANALYSIS AND MODELLING OF RAINFALL EVENTS IOANNIDIS K., KARAGRIGORIOU A. nd LEKKAS D.F.

More information

Review Topic 14: Relationships between two numerical variables

Review Topic 14: Relationships between two numerical variables Review Topi 14: Reltionships etween two numeril vriles Multiple hoie 1. Whih of the following stterplots est demonstrtes line of est fit? A B C D E 2. The regression line eqution for the following grph

More information

Damping of Power System Oscillations using Unified Power Flow Controller (UPFC)

Damping of Power System Oscillations using Unified Power Flow Controller (UPFC) INDIAN INSTITUTE OF TECHNOLOGY, KHARAGPUR 73, DECEMBER 7-9, 47 of Power System Osilltions using Unified Power Flow Controller (UPFC) Neelim Tmey M. L. Kothri Astrt--This pper presents systemti pproh for

More information

Table of Content. c 1 / 5

Table of Content. c 1 / 5 Tehnil Informtion - t nd t Temperture for Controlger 03-2018 en Tble of Content Introdution....................................................................... 2 Definitions for t nd t..............................................................

More information

THE ANALYSIS AND CALCULATION OF ELECTROMAGNETIC FIELD AROUND OVERHEAD POWER LINE HongWang Yang

THE ANALYSIS AND CALCULATION OF ELECTROMAGNETIC FIELD AROUND OVERHEAD POWER LINE HongWang Yang 5th Interntionl Conferene on Advned Mterils nd Computer Siene (ICAMCS 6) THE ANALYSIS AN CALCULATION OF ELECTROMAGNETIC FIEL AROUN OVERHEA POWER LINE HongWng Yng eprtment of eletril engineering, North

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

Exercise 3 Logic Control

Exercise 3 Logic Control Exerise 3 Logi Control OBJECTIVE The ojetive of this exerise is giving n introdution to pplition of Logi Control System (LCS). Tody, LCS is implemented through Progrmmle Logi Controller (PLC) whih is lled

More information

Adaptive Controllers for Permanent Magnet Brushless DC Motor Drive System using Adaptive-Network-based Fuzzy Interference System

Adaptive Controllers for Permanent Magnet Brushless DC Motor Drive System using Adaptive-Network-based Fuzzy Interference System Amerin Journl of Applied Sienes 8 (8): 810-815, 2011 ISSN 1546-9239 2011 Siene Pulitions Adptive Controllers for Permnent Mgnet Brushless DC Motor Drive System using Adptive-Network-sed Fuzzy Interferene

More information

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3 2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is

More information

AC/DC/AC Converters: Two-Level and Multilevel VSI

AC/DC/AC Converters: Two-Level and Multilevel VSI Sortes Ersmus Visit A/D/A onerters: Two-Leel nd Multileel VSI Josep Pou Antoni Aris Pge 1 Sortes Ersmus Visit Outline 1. Two-Leel Inerter 2. Multileel Inerters - sde H-Bridge Inerter - Flying-pitor Inerter

More information

Insulation coordination for wind power plants

Insulation coordination for wind power plants Insultion oordintion for wind power plnts EMTP-RV Stelite meeting Pris, FRANCE August 30, 2018 Prof. Dr. Ivo Uglešić Božidr Filipović-Grčić, PhD Bruno Jurišić, PhD Nin Stipetić, mg.ing. Fulty of Eletril

More information

University of Sioux Falls. MAT204/205 Calculus I/II

University of Sioux Falls. MAT204/205 Calculus I/II University of Sioux Flls MAT204/205 Clulus I/II Conepts ddressed: Clulus Textook: Thoms Clulus, 11 th ed., Weir, Hss, Giordno 1. Use stndrd differentition nd integrtion tehniques. Differentition tehniques

More information

Chapter 8 Three-Phase Power System and Three-Phase Transformers

Chapter 8 Three-Phase Power System and Three-Phase Transformers Chpter 8 Three-Phse Power System nd Three-Phse Trnsformers Single-phse systems re dequte for residentil pplitions up to n pprent power S of 5 kva (per residene), nd 25 kva single-phse pole trnsformers

More information

VIBRATION ANALYSIS OF AN ISOLATED MASS WITH SIX DEGREES OF FREEDOM Revision G

VIBRATION ANALYSIS OF AN ISOLATED MASS WITH SIX DEGREES OF FREEDOM Revision G B Tom Irvine Emil: tom@virtiondt.om Jnur 8, 3 VIBRATION ANALYSIS OF AN ISOLATED MASS WITH SIX DEGREES OF FREEDOM Revision G Introdution An vionis omponent m e mounted with isoltor grommets, whih t s soft

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

CS 491G Combinatorial Optimization Lecture Notes

CS 491G Combinatorial Optimization Lecture Notes CS 491G Comintoril Optimiztion Leture Notes Dvi Owen July 30, August 1 1 Mthings Figure 1: two possile mthings in simple grph. Definition 1 Given grph G = V, E, mthing is olletion of eges M suh tht e i,

More information

CS 2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2014

CS 2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2014 S 224 DIGITAL LOGI & STATE MAHINE DESIGN SPRING 214 DUE : Mrh 27, 214 HOMEWORK III READ : Relte portions of hpters VII n VIII ASSIGNMENT : There re three questions. Solve ll homework n exm prolems s shown

More information

Iowa Training Systems Trial Snus Hill Winery Madrid, IA

Iowa Training Systems Trial Snus Hill Winery Madrid, IA Iow Trining Systems Tril Snus Hill Winery Mdrid, IA Din R. Cohrn nd Gil R. Nonneke Deprtment of Hortiulture, Iow Stte University Bkground nd Rtionle: Over the lst severl yers, five sttes hve een evluting

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

Industrial Electrical Engineering and Automation

Industrial Electrical Engineering and Automation CODEN:LUTEDX/(TEIE-719)/1-7/(7) Industril Electricl Engineering nd Automtion Estimtion of the Zero Sequence oltge on the D- side of Dy Trnsformer y Using One oltge Trnsformer on the D-side Frncesco Sull

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

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 1 PYTHAGORAS THEOREM 1 1 Pythgors Theorem In this setion we will present geometri proof of the fmous theorem of Pythgors. Given right ngled tringle, the squre of the hypotenuse is equl to the sum of the

More information

Protection of interconnected wind turbines against lightning effects: overvoltages and electromagnetic transients study

Protection of interconnected wind turbines against lightning effects: overvoltages and electromagnetic transients study 1 Protetion of interonneted wind turines ginst lightning effets: overvoltges nd eletromgneti trnsients study R.B. Rodrigues, V.M.F. Mendes, J.P.S. Ctlão,, * Deprtmentl Are of Eletril Engineering nd Automtion,

More information

Kalman-Filter Based Recursive Regression for Three- Phase Line Parameter Estimation using Synchrophasor Measurements

Kalman-Filter Based Recursive Regression for Three- Phase Line Parameter Estimation using Synchrophasor Measurements Klmn-Filter Bsed Reursive Regression for Three- Phse Line Prmeter Estimtion using Synhrophsor Mesurements Chetn Mishr, StMIEEE Virgilio A. Centeno, SMIEEE Brdley Deprtment of Eletril nd Computer Engineering,

More information

Generalization of 2-Corner Frequency Source Models Used in SMSIM

Generalization of 2-Corner Frequency Source Models Used in SMSIM Generliztion o 2-Corner Frequeny Soure Models Used in SMSIM Dvid M. Boore 26 Mrh 213, orreted Figure 1 nd 2 legends on 5 April 213, dditionl smll orretions on 29 My 213 Mny o the soure spetr models ville

More information

A Study on the Properties of Rational Triangles

A Study on the Properties of Rational Triangles Interntionl Journl of Mthemtis Reserh. ISSN 0976-5840 Volume 6, Numer (04), pp. 8-9 Interntionl Reserh Pulition House http://www.irphouse.om Study on the Properties of Rtionl Tringles M. Q. lm, M.R. Hssn

More information

TIME AND STATE IN DISTRIBUTED SYSTEMS

TIME AND STATE IN DISTRIBUTED SYSTEMS Distriuted Systems Fö 5-1 Distriuted Systems Fö 5-2 TIME ND STTE IN DISTRIUTED SYSTEMS 1. Time in Distriuted Systems Time in Distriuted Systems euse eh mhine in distriuted system hs its own lok there is

More information

Restraint of purlins for various roof systems

Restraint of purlins for various roof systems NS009 Restrint of purlins for vrious roof systems T. Vrny, M. Brhm & A. Beli ulty of ivil Engineering, zeh Tehnil University, Prh, zehi Astron Buildings S.A., Diekirh, Luxemourg, A memer of the Lind Group

More information

Transmission line parameter identification using PMU measurements

Transmission line parameter identification using PMU measurements rnsmission line prmeter identifition using PM mesurements Di hi,*,, Dniel J. lvsk, Kristin M. Koellner, Nim Logi, Dvid E. Wheeler hool of Eletril Computer nd Energ Engineering, Arizon tte niversit, empe,

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

Nondeterministic Automata vs Deterministic Automata

Nondeterministic Automata vs Deterministic Automata Nondeterministi Automt vs Deterministi Automt We lerned tht NFA is onvenient model for showing the reltionships mong regulr grmmrs, FA, nd regulr expressions, nd designing them. However, we know tht n

More information

Renewable Energy 36 (2011) 2888e2896. Contents lists available at ScienceDirect. Renewable Energy. journal homepage:

Renewable Energy 36 (2011) 2888e2896. Contents lists available at ScienceDirect. Renewable Energy. journal homepage: Renewle Energy 36 (2) 2888e2896 Contents lists ville t SieneDiret Renewle Energy journl homepge: www.elsevier.om/lote/renene Protetion of wind energy systems ginst the indiret effets of lightning R.B.

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

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

3/8 Square (10 mm) Multi-Turn Cermet Trimmer 3/8" Squre ( mm) Multi-Turn Cermet FEATURES Industril grde W t 70 C Tests ording to CECC 400 or IEC 60393-1 Contt resistne vrition < 1 % typil Complint to RoHS Diretive 2002/95/EC The Model is smll size

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

Multi-Turn Surface Mount 1/4" Square Cermet Trimmers, Fully Sealed

Multi-Turn Surface Mount 1/4 Square Cermet Trimmers, Fully Sealed www.vishy.om Vishy Sfernie Multi-Turn Surfe Mount /4" Squre Cermet Trimmers, Fully Seled The multiturn trimmer hs een designed for use in PCB surfe mounting pplitions. Three vritions re ville ording to

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

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

LOAD FLOW, CONTINGENCY ANALYSIS, STATE ESTIMATION AND OPTIMAL OPERATION FOR IEEE 14-BUS SYSTEM

LOAD FLOW, CONTINGENCY ANALYSIS, STATE ESTIMATION AND OPTIMAL OPERATION FOR IEEE 14-BUS SYSTEM MLLIK D, et l, Interntionl Journl of Reserh Sienes nd dvned Engineering [IJRSE] TM Volume 2, Issue 15, PP: 247-253, SEPTEMER 2016. LOD FLOW, ONTINGENY NLYSIS, STTE ESTIMTION ND OPTIML OPERTION FOR IEEE

More information

Unit 4. Combinational Circuits

Unit 4. Combinational Circuits Unit 4. Comintionl Ciruits Digitl Eletroni Ciruits (Ciruitos Eletrónios Digitles) E.T.S.I. Informáti Universidd de Sevill 5/10/2012 Jorge Jun 2010, 2011, 2012 You re free to opy, distriute

More information

Supplementary Information. High-Performance Mixed-Dimensional Perovskite Solar Cells with Enhanced

Supplementary Information. High-Performance Mixed-Dimensional Perovskite Solar Cells with Enhanced Eletroni Supplementry Mteril (ESI) for Journl of Mterils Chemistry A. This journl is The Royl Soiety of Chemistry 201 Supplementry Informtion High-Performne Mixed-Dimensionl Perovskite Solr Cells with

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

Lecture Notes No. 10

Lecture Notes No. 10 2.6 System Identifition, Estimtion, nd Lerning Leture otes o. Mrh 3, 26 6 Model Struture of Liner ime Invrint Systems 6. Model Struture In representing dynmil system, the first step is to find n pproprite

More information

Note 12. Introduction to Digital Control Systems

Note 12. Introduction to Digital Control Systems Note Introduction to Digitl Control Systems Deprtment of Mechnicl Engineering, University Of Ssktchewn, 57 Cmpus Drive, Ssktoon, SK S7N 5A9, Cnd . Introduction A digitl control system is one in which the

More information

, g. Exercise 1. Generator polynomials of a convolutional code, given in binary form, are g. Solution 1.

, g. Exercise 1. Generator polynomials of a convolutional code, given in binary form, are g. Solution 1. Exerise Genertor polynomils of onvolutionl ode, given in binry form, re g, g j g. ) Sketh the enoding iruit. b) Sketh the stte digrm. ) Find the trnsfer funtion T. d) Wht is the minimum free distne of

More information

CHENG Chun Chor Litwin The Hong Kong Institute of Education

CHENG Chun Chor Litwin The Hong Kong Institute of Education PE-hing Mi terntionl onferene IV: novtion of Mthemtis Tehing nd Lerning through Lesson Study- onnetion etween ssessment nd Sujet Mtter HENG hun hor Litwin The Hong Kong stitute of Edution Report on using

More information

SOLUTIONS TO ASSIGNMENT NO The given nonrecursive signal processing structure is shown as

SOLUTIONS TO ASSIGNMENT NO The given nonrecursive signal processing structure is shown as SOLUTIONS TO ASSIGNMENT NO.1 3. The given nonreursive signl proessing struture is shown s X 1 1 2 3 4 5 Y 1 2 3 4 5 X 2 There re two ritil pths, one from X 1 to Y nd the other from X 2 to Y. The itertion

More information

Appendix C Partial discharges. 1. Relationship Between Measured and Actual Discharge Quantities

Appendix C Partial discharges. 1. Relationship Between Measured and Actual Discharge Quantities Appendi Prtil dishrges. Reltionship Between Mesured nd Atul Dishrge Quntities A dishrging smple my e simply represented y the euilent iruit in Figure. The pplied lternting oltge V is inresed until the

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

Electrical Circuits II (ECE233b)

Electrical Circuits II (ECE233b) Eletril Ciruits (ECE2) Polyhse Ciruits Anestis Dounis The Uniersity of Western Ontrio Fulty of Engineering Siene ThreePhse Ciruits Blned three hse iruit: ontins three oltge soures tht re equl in mgnitude

More information

CS 573 Automata Theory and Formal Languages

CS 573 Automata Theory and Formal Languages Non-determinism Automt Theory nd Forml Lnguges Professor Leslie Lnder Leture # 3 Septemer 6, 2 To hieve our gol, we need the onept of Non-deterministi Finite Automton with -moves (NFA) An NFA is tuple

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

Spacetime and the Quantum World Questions Fall 2010

Spacetime and the Quantum World Questions Fall 2010 Spetime nd the Quntum World Questions Fll 2010 1. Cliker Questions from Clss: (1) In toss of two die, wht is the proility tht the sum of the outomes is 6? () P (x 1 + x 2 = 6) = 1 36 - out 3% () P (x 1

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 ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL

THE ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL THE ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL Mhun Peng *, Lin Xie nd Leonrd J. Pietrfes Deprtment of Mrine, Erth nd Atmospheri

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

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

First compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35.

First compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35. 0.9 First ompression (0-6.3 GP) First deompression (6.3-2.7 GP) Seond ompression (2.7-35.5 GP) Seond deompression (35.5-0 GP) V/V 0 0.7 0.5 0 5 10 15 20 25 30 35 P (GP) Supplementry Figure 1 Compression

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

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions MEP: Demonstrtion Projet UNIT 4: Trigonometry UNIT 4 Trigonometry tivities tivities 4. Pythgors' Theorem 4.2 Spirls 4.3 linometers 4.4 Rdr 4.5 Posting Prels 4.6 Interloking Pipes 4.7 Sine Rule Notes nd

More information

Learning Partially Observable Markov Models from First Passage Times

Learning Partially Observable Markov Models from First Passage Times Lerning Prtilly Oservle Mrkov s from First Pssge s Jérôme Cllut nd Pierre Dupont Europen Conferene on Mhine Lerning (ECML) 8 Septemer 7 Outline. FPT in models nd sequenes. Prtilly Oservle Mrkov s (POMMs).

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

Alpha Algorithm: A Process Discovery Algorithm

Alpha Algorithm: A Process Discovery Algorithm Proess Mining: Dt Siene in Ation Alph Algorithm: A Proess Disovery Algorithm prof.dr.ir. Wil vn der Alst www.proessmining.org Proess disovery = Ply-In Ply-In event log proess model Ply-Out Reply proess

More information

Magnetically Coupled Coil

Magnetically Coupled Coil Mgnetilly Coupled Ciruits Overview Mutul Indutne Energy in Coupled Coils Liner Trnsformers Idel Trnsformers Portlnd Stte University ECE 22 Mgnetilly Coupled Ciruits Ver..3 Mgnetilly Coupled Coil i v L

More information

Instructions. An 8.5 x 11 Cheat Sheet may also be used as an aid for this test. MUST be original handwriting.

Instructions. An 8.5 x 11 Cheat Sheet may also be used as an aid for this test. MUST be original handwriting. ID: B CSE 2021 Computer Orgniztion Midterm Test (Fll 2009) Instrutions This is losed ook, 80 minutes exm. The MIPS referene sheet my e used s n id for this test. An 8.5 x 11 Chet Sheet my lso e used s

More information

1 This diagram represents the energy change that occurs when a d electron in a transition metal ion is excited by visible light.

1 This diagram represents the energy change that occurs when a d electron in a transition metal ion is excited by visible light. 1 This igrm represents the energy hnge tht ours when eletron in trnsition metl ion is exite y visile light. Give the eqution tht reltes the energy hnge ΔE to the Plnk onstnt, h, n the frequeny, v, of the

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

The University of Nottingham SCHOOL OF COMPUTER SCIENCE A LEVEL 2 MODULE, SPRING SEMESTER MACHINES AND THEIR LANGUAGES ANSWERS

The University of Nottingham SCHOOL OF COMPUTER SCIENCE A LEVEL 2 MODULE, SPRING SEMESTER MACHINES AND THEIR LANGUAGES ANSWERS The University of ottinghm SCHOOL OF COMPUTR SCIC A LVL 2 MODUL, SPRIG SMSTR 2015 2016 MACHIS AD THIR LAGUAGS ASWRS Time llowed TWO hours Cndidtes my omplete the front over of their nswer ook nd sign their

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

1 This question is about mean bond enthalpies and their use in the calculation of enthalpy changes.

1 This question is about mean bond enthalpies and their use in the calculation of enthalpy changes. 1 This question is out men ond enthlpies nd their use in the lultion of enthlpy hnges. Define men ond enthlpy s pplied to hlorine. Explin why the enthlpy of tomistion of hlorine is extly hlf the men ond

More information

Designing Information Devices and Systems I Discussion 8B

Designing Information Devices and Systems I Discussion 8B Lst Updted: 2018-10-17 19:40 1 EECS 16A Fll 2018 Designing Informtion Devices nd Systems I Discussion 8B 1. Why Bother With Thévenin Anywy? () Find Thévenin eqiuvlent for the circuit shown elow. 2kΩ 5V

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

Linear Algebra Introduction

Linear Algebra Introduction Introdution Wht is Liner Alger out? Liner Alger is rnh of mthemtis whih emerged yers k nd ws one of the pioneer rnhes of mthemtis Though, initilly it strted with solving of the simple liner eqution x +

More information

H (u,v) = 1+ [ 0 2 ] 1 2

H (u,v) = 1+ [ 0 2 ] 1 2 I nterntionl Journl of E ngineering Reserh And Mngement (IJERM) ISSN : 2349-2058, Volume-1, Issue-4, July 2014 Destriping remote sensing imges using frequeny d omin Butterworth noth filter E rfn mrei,

More information