Earthing Design for 220/66 KV Hybrid (AIS and GIS) Sub- Station Hetal Desai, Prakruti Shah
|
|
|
- Thomas Blake
- 6 years ago
- Views:
Transcription
1 016 IJSRSET Volume Iue 4 Prt ISSN : Ole ISSN : Themed Secto: Eeer d Techoloy Erth De for 0/66 KV Hybrd (AIS d IS) Sub- Stto Hetl De, Prkrut Shh Electrcl Eeer Deprtmet, Nvrch Uverty, Vdodr, ujrt, Id ABSTRAT M purpoe of th pper de fe d cot effectve roud ytem for 0/66 KV Hybrd (AIS/IS) ubtto tuted t uch locto where ol of the ubtto te ot uform. Stdrd equto re ued the de of erth ytem to et dered prmeter uch touch d tep volte crter for fety, erth retce, rd retce, mxmum rd curret, mmum coductor ze d electrode ze, mxmum fult curret level d retvty of ol. By elect the proper horzotl coductor ze, vertcl electrode ze d ol retvty, the bet choce of erth de for fety c be performed. Keyword: Subtto, IS, AIS, tep d touch potetl, PR. I. INTRODUTION Succeful operto of etre power ytem deped to coderble extet o effcet d tfctory performce of ubtto. Hece ubtto eerl c be codered hert of overll power ytem. I y ubtto, well-deed roud ply mportt role. Sce bece of fe d effectve roud ytem c reult ml-operto or ooperto of cotrol d protectve devce, roud ytem de deerve coderble tteto for ll the ubtto. ood roud pth of uffcetly low mpedce eure ft cler of fult. A fult rem the ytem for lo my cue everl problem clud thoe of power ytem tblty. Fter cler thu mprove overll relblty. It lo eure fety. A roud fult equpmet cue the metllc ecloure potetl to re bove the true roud potetl. A mproper roud reult hher potetl d lo reult delyed cler of the fult (due to uffcet curret flow). Th combto eetlly ufe becue y pero com to cotct wth the ecloure expoed to hher potetl for loer durto. roud ytem h to be fe t drectly cocered wth fety of pero work wth the ubtto. Fucto of Erth Sytem There re two prmry fucto of fe erth ytem ) Eure tht pero who the vcty of erthed fclte dur fult ot expoed to the poblty of ftl electrcl hock, ) Provde low mpedce pth to erth for curret occurr uder orml d fult codto. II. METHODS AND MATERIA. Termoloy Aocted to Erth [3].1 roud Potetl Re (PR)[9] The ubtto erth rd ued electrcl coecto to erth t zero potetl referece. Th coecto ot del due to the retvty of the ol wth 0whch the erth rd bured. IJSRSET Receved : 01 July 016 Accepted : 1 July 016 July-Auut 016 [()4: ] 488
2 Dur typcl erth fult codto, the flow of curret v the rd to erth wll therefore reult the rd r potetl reltve to remote erth to whch other ytem eutrl re lo coected. dtce by me of erth refereced metllc coductor. Th c be very hh touch potetl, dur fult codto, the reult potetl to roud my equl the full PR. Th produce potetl rdet wth d roud the ubtto roud re - th defed roud potetl re or PR. The PR of ubtto uder erth fult codto mut be lmted o tht tep d touch potetl lmt re ot exceeded, d cotrolled by keep the erth rd retce low poble. Step, Touch, Meh & Trferred Potetl [9] I order to eure the fety of people t ubtto, t ecery to eure tht tep d touch potetl d roud the ubtto yrd dur erth-fult codto re kept below et lmt.. Step Potetl The tep potetl defed the potetl dfferece betwee pero outtretched feet, ormlly 1 metre prt, wthout the pero touch y erthed tructure..3 Touch Potetl The touch potetl defed the potetl dfferece betwee pero outtretched hd, touch erthed tructure, d h foot. A pero mxmum rech ormlly umed to be 1 metre..5 Meh Potetl The meh potetl defed the potetl dfferece betwee the cetre of erth rd meh d tructure erthed to the bured rd coductor. Th effectvely wort-ce touch potetl - for ubtto rd cot of equl ze mehe; t the mehe t the corer of the erth rd tht wll hve the hhet meh potetl..6 Trferred Potetl Th pecl ce of touch potetl whch volte trferred to or out of ubtto for ome Fure 1. Subtto Erth 3. Erth Sytem De oderto [] oductor - ubtto erth rd wll cot of erth ytem of boded cro coductor. The erth coductor, compo the rd d coecto to ll equpmet d tructure, mut poe uffcet therml cpcty to p the hhet fult curret for the requred tme. Alo, the erth coductor mut hve uffcet mechcl treth d corroo retce. It orml prctce to bury horzotl erth coductor t depth of betwee 0.5m d 1m. 3.1 Vertclly Drve Erth Rod Where there re low retvty trt beeth the urfce lyer the t would be dvteou to drve vertcl erth rod dow to th lyer - to be effectve the erth rod hould be o the perphery of the te. The leth of the erth rod choe o to rech the more tble lyer of roud below. The erth rod would tble the erth rd retce over eol retvty che t the rd burl depth. Itertol Jourl of Scetfc Reerch Scece, Eeer d Techoloy (jret.com) 489
3 3. Subtto Fece The erth of metllc fece roud ubtto of vtl mportce becue derou touch potetl c be volved d the fece ofte cceble to the eerl publc. Fece erth c be ccomplhed two dfferet wy: Electrclly coect the fece to the erth rd, loct t wth the rd re or ltertvely jut outde Idepedetly erth the fece d loct t outde the erth rd re t coveet plce where the potetl rdet from the rd ede cceptbly low.[7] III. RESUTS AND DISUSSION 4. Eur Proper roud [6] The follow tep, whe put to prctce, wll eure relble, fe d trouble-free ubtto roud ytem: 1. Sze coductor for tcpted fult. Ue the rht coecto 3. roud rod electo 4. Sol preprto 5. Atteto to tep d touch potetl 6. roud u buld foudto 7. roud the ubtto fece 8. Specl tteto to opert pot 9. Sure rretor mut be rouded properly 10. roud of cble try 11. Temporry roud of ormlly eerzed prt. 5. lculto of 0 kv AIS Bu Secto 5.1 Sze of Erthl oductor : Amm TAP10 t c r r K T 0 m l K T 0 A kcml = mm The ze of coductor elected = 3.0 mm I 4 Dmeter of the rd oductor d = 0.09 m 5. Touch & Step rter Reflecto fctor betwee dfferet mterl retvty Surfce lyer dert fctor Therefore, E 5.3 RID Retce A = Are of the rd = 47.5 m² 5.4 Mxmum RID urret I D I I = Mxmum rd curret A = 40,000 D f = Decremet fctor for the etre durto of fult, ve = roud Potetl Re of electrcl potetl to derou vlue dur erth fult curret. 6. lculto for Actul Derved Step & Meh Volte [1] 6.1 Meh Volte: K h 0.09 ( tep 70 E touch 1 R T Emeh( De) ( f ) t ) t A 1 h 0/ A PR I R I K K m r l x y R Itertol Jourl of Scetfc Reerch Scece, Eeer d Techoloy (jret.com) 490
4 K = orrectve fctor for curret rreulrty Where, K b P = 7.1 b = c = 1 for qure d rectulr rd d = 1 for qure d rectulr rd d Shped rd 1 D Km l 16hd D h 8Dd c T d h K 8 l 4d Kh 1 The ze of coductor elected = 17.1 mm Dmeter of the rd oductor d = m 7. Touch & Step rter Reflecto fctor betwee dfferet mterl Retvty K Surfce lyer dert fctor h 0.09 K = = 0.77 h 1 ho 1 ( Kh= ) K 7.3 RID Retce 1 R T A 1 h 1 0/ A 6. Step Volte Volte developed for tep per the erth ytem propoed dur full Erth fult curret. Etep( De) Where, K = Spc fctor for Step volte 7. lculto of 0 Kv IS Bu Secto 7.1 Sze of Erthl oductor: A kcml = 451. mm K K I K h D h D K Amm I 4 TAP10 K T 0 m l t K T c r r 0 R A = Are of the rd = m² 7.4 MAXIMUM RID URRENT I = Mxmum rd curret A = 40,000 D f = Decremet fctor for the etre durto of fult, ve = roud Potetl Re 8. lculto for Actul Derved Step & Meh Volte 8.1 Meh Volte I D Emeh( De) f I PR I R K = orrectve fctor for curret rreulrty K I K K m r l x y R Itertol Jourl of Scetfc Reerch Scece, Eeer d Techoloy (jret.com) 491
5 Where, = 8.6 b = c = 1 for qure d rectulr rd d = 1 for qure d rectulr rd d Shped rd Kh = 1 D Km l 16hd 8. Step Volte Volte developed for tep per the erth ytem propoed dur full Erth fult curret. Where, K = Spc fctor for Step volte K P D h 8Dd Reult Tble 1 for 0 kv AIS Bu ecto Prmeter lculted Vlue Actul Vlue(Deed) E tep V V E touch V V Reult Tble for 0 kv IS Bu ecto T 4 Prmeter lculted Vlue Actul Vlue(Deed) E tep V V E touch 67.3 V 99.5 V h d & K Kh 1 K K I Etep( De) () K h D h D h 1 ho b c 8 l 1 R d I both the ce lculted Step Volte lower th the Tolerble Step Volte d Touch volte lower th Tolerble Touch Volte. Hece the De Sfe Reult tble 3 : Dfferet prmeter of 0 kv IS d AIS Erth De Prmeter AIS IS Sze of erth coductor (mm) Step Potetl V V Touch potetl V 67.3 V rd Retce 0.74 Ω 0.45 Ω Mx. rd 16.6 ka 16.6 ka curret roud 187. V V potetl re IV. ONUSION Th pper h focu o de of 0 kv HV/EHV A ubtto erth ytem. The reult for erth ytem re obted by computtol method. The tep by tep pproch for de ubtto erth ytem preeted. The vrou kd of coductor ze for erth equpmet re metoed th pper. otructo of erth rd expreed here. The tep d touch volte re derou for hum body. Hum body my et electrc hock from tep d touch volte. Whe hh volte ubtto re to be deed, tep d touch volte hould be clculted d vlue mut be mted pecfed tdrd. Importce to be ve to the trfer of roud Potetl re (PR) uder fult codto to vod derou tuto to the publc, cutomer d utlty tff. The fety to perol pecfed by IEEE 80, whch requre lmt the developmet of electrcl potetl to derou vlue dur erth fult curret. The reulto tpulte the follow prmeter to be wth permble lmt: ) Step volte ( foot to foot cotct) ) Touch volte ( hd to foot cotct) Itertol Jourl of Scetfc Reerch Scece, Eeer d Techoloy (jret.com) 49
6 The vlue of tep d touch volte obted for 0 kv (AIS & IS) ubtto re repectvely how reult tble 3. V. REFERENES [1] Mthu Modl, Dr R.K Jrl, Styprkh Rm, urmeet Sh De d Aly of Subtto roud rd wth d wthout oder Seol Fctor u EDSA Softwre' Itertol Jourl of Iovto Eeer d Techoloy Specl Iue - IAEE ISSN : [] Mlleh deppvr1, Vy Ptthett 1,Electrcl d Electroc Eeer deprtmet, Ad ttute of techoloy d memet Belum , Id De of Future Subtto Itertol Jourl of Emer Techoloy d Advced Eeer Webte: (ISSN , ISO 9001:008 ertfed Jourl, Volume 3,Iue 3, Mrch 013) 151 [3] Robert S. Nowell Electrcl Power Subtto Eeer eor Power ompy 003 by R Pre [4] IEEE Std IEEE ude for Sfety A Subtto roud Subtto ommttee of the IEEE Power Eeer Socety Approved 30 Jury 000 (Revo of IEEE Std ) [5] erth-de [6] [7] [8] Itertol Jourl of Scetfc Reerch Scece, Eeer d Techoloy (jret.com) 493
Linear Open Loop Systems
Colordo School of Me CHEN43 Trfer Fucto Ler Ope Loop Sytem Ler Ope Loop Sytem... Trfer Fucto for Smple Proce... Exmple Trfer Fucto Mercury Thermometer... 2 Derblty of Devto Vrble... 3 Trfer Fucto for Proce
Analytical Approach for the Solution of Thermodynamic Identities with Relativistic General Equation of State in a Mixture of Gases
Itertol Jourl of Advced Reserch Physcl Scece (IJARPS) Volume, Issue 5, September 204, PP 6-0 ISSN 2349-7874 (Prt) & ISSN 2349-7882 (Ole) www.rcourls.org Alytcl Approch for the Soluto of Thermodymc Idettes
CURVE FITTING LEAST SQUARES METHOD
Nuercl Alss for Egeers Ger Jord Uverst CURVE FITTING Although, the for of fucto represetg phscl sste s kow, the fucto tself ot be kow. Therefore, t s frequetl desred to ft curve to set of dt pots the ssued
10.2 Series. , we get. which is called an infinite series ( or just a series) and is denoted, for short, by the symbol. i i n
0. Sere I th ecto, we wll troduce ere tht wll be dcug for the ret of th chpter. Wht ere? If we dd ll term of equece, we get whch clled fte ere ( or jut ere) d deoted, for hort, by the ymbol or Doe t mke
St John s College. UPPER V Mathematics: Paper 1 Learning Outcome 1 and 2. Examiner: GE Marks: 150 Moderator: BT / SLS INSTRUCTIONS AND INFORMATION
St Joh s College UPPER V Mthemtcs: Pper Lerg Outcome d ugust 00 Tme: 3 hours Emer: GE Mrks: 50 Modertor: BT / SLS INSTRUCTIONS ND INFORMTION Red the followg structos crefull. Ths questo pper cossts of
A Technique for Constructing Odd-order Magic Squares Using Basic Latin Squares
Itertol Jourl of Scetfc d Reserch Publctos, Volume, Issue, My 0 ISSN 0- A Techque for Costructg Odd-order Mgc Squres Usg Bsc Lt Squres Tomb I. Deprtmet of Mthemtcs, Mpur Uversty, Imphl, Mpur (INDIA) tombrom@gml.com
Chapter #2 EEE Subsea Control and Communication Systems
EEE 87 Chpter # EEE 87 Sube Cotrol d Commuictio Sytem Trfer fuctio Pole loctio d -ple Time domi chrcteritic Extr pole d zero Chpter /8 EEE 87 Trfer fuctio Lplce Trform Ued oly o LTI ytem Differetil expreio
Current Programmed Control (i.e. Peak Current-Mode Control) Lecture slides part 2 More Accurate Models
Curret Progred Cotrol.e. Pek Curret-Mode Cotrol eture lde prt More Aurte Model ECEN 5807 Drg Mkovć Sple Frt-Order CPM Model: Sury Aupto: CPM otroller operte delly, Ueful reult t low frequee, well uted
Chapter #5 EEE Control Systems
Sprig EEE Chpter #5 EEE Cotrol Sytem Deig Bed o Root Locu Chpter / Sprig EEE Deig Bed Root Locu Led Cotrol (equivlet to PD cotrol) Ued whe the tedy tte propertie of the ytem re ok but there i poor performce,
PubH 7405: REGRESSION ANALYSIS REGRESSION IN MATRIX TERMS
PubH 745: REGRESSION ANALSIS REGRESSION IN MATRIX TERMS A mtr s dspl of umbers or umercl quttes ld out rectgulr rr of rows d colums. The rr, or two-w tble of umbers, could be rectgulr or squre could be
ANOTHER INTEGER NUMBER ALGORITHM TO SOLVE LINEAR EQUATIONS (USING CONGRUENCY)
ANOTHER INTEGER NUMBER ALGORITHM TO SOLVE LINEAR EQUATIONS (USING CONGRUENCY) Floet Smdche, Ph D Aocte Pofeo Ch of Deptmet of Mth & Scece Uvety of New Mexco 2 College Rod Gllup, NM 873, USA E-ml: md@um.edu
Area and the Definite Integral. Area under Curve. The Partition. y f (x) We want to find the area under f (x) on [ a, b ]
![Area and the Definite Integral. Area under Curve. The Partition. y f (x) We want to find the area under f (x) on [ a, b ]](/thumbs/83/87614710.jpg "Area and the Definite Integral. Area under Curve. The Partition. y f (x) We want to find the area under f (x) on [ a, b ]")
Are d the Defte Itegrl 1 Are uder Curve We wt to fd the re uder f (x) o [, ] y f (x) x The Prtto We eg y prttog the tervl [, ] to smller su-tervls x 0 x 1 x x - x -1 x 1 The Bsc Ide We the crete rectgles
2 nd -revision New High-Order Filter Structures Using Only Single-Ended- Input OTAs and Grounded Capacitors
d revo New HhOrder Flter Structure U Oly SleEded Iput OTA d Grouded Cpctor ChuM Ch, hr M. AlHhm, Ychu Su*, d J. Nel Ro School of Electroc d Computer Scece, Uverty of Shmpto, Hhfeld, Shmpto SO7 J, UK EMl:cmcr@ec.oto.c.uk
Soo King Lim Figure 1: Figure 2: Figure 3: Figure 4: Figure 5: Figure 6: Figure 7: Figure 8: Figure 9: Figure 10: Figure 11:
Soo Kg Lm 1.0 Nested Fctorl Desg... 1.1 Two-Fctor Nested Desg... 1.1.1 Alss of Vrce... Exmple 1... 5 1.1. Stggered Nested Desg for Equlzg Degree of Freedom... 7 1.1. Three-Fctor Nested Desg... 8 1.1..1
To Determine the Characteristic Polynomial Coefficients Based On the Transient Response
ICCAS Jue -, KINTEX, Gyeogg-Do, Kore To Determe the Chrctertc Polyoml Coeffcet Bed O the Tret Repoe Mohmmd Her d Mohmmd Sleh Tvzoe Advced Cotrol Sytem Lb., Electrcl Egeerg Deprtmet, Shrf Uverty of Techology,
The definite Riemann integral
Roberto s Notes o Itegrl Clculus Chpter 4: Defte tegrls d the FTC Secto 4 The defte Rem tegrl Wht you eed to kow lredy: How to ppromte the re uder curve by usg Rem sums. Wht you c ler here: How to use
Chapter #3 EEE Subsea Control and Communication Systems
EEE 87 Chter #3 EEE 87 Sube Cotrol d Commuictio Sytem Cloed loo ytem Stedy tte error PID cotrol Other cotroller Chter 3 /3 EEE 87 Itroductio The geerl form for CL ytem: C R ', where ' c ' H or Oe Loo (OL)
Differential Method of Thin Layer for Retaining Wall Active Earth Pressure and Its Distribution under Seismic Condition Li-Min XU, Yong SUN
Itertol Coferece o Mechcs d Cvl Egeerg (ICMCE 014) Dfferetl Method of Th Lyer for Retg Wll Actve Erth Pressure d Its Dstrbuto uder Sesmc Codto L-M XU, Yog SUN Key Lbortory of Krst Evromet d Geologcl Hzrd
Rendering Equation. Linear equation Spatial homogeneous Both ray tracing and radiosity can be considered special case of this general eq.
Rederg quto Ler equto Sptl homogeeous oth ry trcg d rdosty c be cosdered specl cse of ths geerl eq. Relty ctul photogrph Rdosty Mus Rdosty Rederg quls the dfferece or error mge http://www.grphcs.corell.edu/ole/box/compre.html
MTH 146 Class 7 Notes
7.7- Approxmte Itegrto Motvto: MTH 46 Clss 7 Notes I secto 7.5 we lered tht some defte tegrls, lke x e dx, cot e wrtte terms of elemetry fuctos. So, good questo to sk would e: How c oe clculte somethg
Preliminary Examinations: Upper V Mathematics Paper 1
relmr Emtos: Upper V Mthemtcs per Jul 03 Emer: G Evs Tme: 3 hrs Modertor: D Grgortos Mrks: 50 INSTRUCTIONS ND INFORMTION Ths questo pper sts of 0 pges, cludg swer Sheet pge 8 d Iformto Sheet pges 9 d 0
CS473-Algorithms I. Lecture 12b. Dynamic Tables. CS 473 Lecture X 1
CS473-Algorthm I Lecture b Dyamc Table CS 473 Lecture X Why Dyamc Table? I ome applcato: We do't kow how may object wll be tored a table. We may allocate pace for a table But, later we may fd out that
20.2. The Transform and its Inverse. Introduction. Prerequisites. Learning Outcomes
The Trnform nd it Invere 2.2 Introduction In thi Section we formlly introduce the Lplce trnform. The trnform i only pplied to cul function which were introduced in Section 2.1. We find the Lplce trnform
ELEC 372 LECTURE NOTES, WEEK 6 Dr. Amir G. Aghdam Concordia University
ELEC 37 LECTURE NOTES, WEE 6 Dr mir G ghdm Cocordi Uiverity Prt of thee ote re dpted from the mteril i the followig referece: Moder Cotrol Sytem by Richrd C Dorf d Robert H Bihop, Pretice Hll Feedbck Cotrol
COMPLEX NUMBERS AND DE MOIVRE S THEOREM
COMPLEX NUMBERS AND DE MOIVRE S THEOREM OBJECTIVE PROBLEMS. s equl to b d. 9 9 b 9 9 d. The mgr prt of s 5 5 b 5. If m, the the lest tegrl vlue of m s b 8 5. The vlue of 5... s f s eve, f s odd b f s eve,
ON NILPOTENCY IN NONASSOCIATIVE ALGEBRAS
Jourl of Algebr Nuber Theory: Advces d Applctos Volue 6 Nuber 6 ges 85- Avlble t http://scetfcdvces.co. DOI: http://dx.do.org/.864/t_779 ON NILOTENCY IN NONASSOCIATIVE ALGERAS C. J. A. ÉRÉ M. F. OUEDRAOGO
MASSACHUSETTS INSTITUTE of TECHNOLOGY Department of Mechanical Engineering 2.71/ OPTICS - - Spring Term, 2014
.7/.70 Optic, Spri 04, Solutio for Quiz MASSACHUSETTS INSTITUTE of TECHNOLOGY Deprtmet of Mechicl Eieeri.7/.70 OPTICS - - Spri Term, 04 Solutio for Quiz Iued Wed. 03//04 Problem. The ive opticl ytem i
3. REVIEW OF PROPERTIES OF EIGENVALUES AND EIGENVECTORS
. REVIEW OF PROPERTIES OF EIGENVLUES ND EIGENVECTORS. EIGENVLUES ND EIGENVECTORS We hll ow revew ome bc fct from mtr theory. Let be mtr. clr clled egevlue of f there et ozero vector uch tht Emle: Let 9
Module 2: Introduction to Numerical Analysis
CY00 Itroducto to Computtol Chemtr Autum 00-0 Module : Itroducto to umercl Al Am of the preet module. Itroducto to c umercl l. Developg mple progrm to mplemet the umercl method opc of teret. Iterpolto:
Trignometric Inequations and Fuzzy Information Theory
Iteratoal Joural of Scetfc ad Iovatve Mathematcal Reearch (IJSIMR) Volume, Iue, Jauary - 0, PP 00-07 ISSN 7-07X (Prt) & ISSN 7- (Ole) www.arcjoural.org Trgometrc Iequato ad Fuzzy Iformato Theory P.K. Sharma,
this is the indefinite integral Since integration is the reverse of differentiation we can check the previous by [ ]
![this is the indefinite integral Since integration is the reverse of differentiation we can check the previous by [ ]](/thumbs/78/76749440.jpg "this is the indefinite integral Since integration is the reverse of differentiation we can check the previous by [ ]")
Atervtves The Itegrl Atervtves Ojectve: Use efte tegrl otto for tervtves. Use sc tegrto rules to f tervtves. Aother mportt questo clculus s gve ervtve f the fucto tht t cme from. Ths s the process kow
On Several Inequalities Deduced Using a Power Series Approach
It J Cotemp Mth Sceces, Vol 8, 203, o 8, 855-864 HIKARI Ltd, wwwm-hrcom http://dxdoorg/02988/jcms2033896 O Severl Iequltes Deduced Usg Power Seres Approch Lored Curdru Deprtmet of Mthemtcs Poltehc Uversty
Complex Variables. Chapter 19 Series and Residues. March 26, 2013 Lecturer: Shih-Yuan Chen
omplex Vrble hpter 9 Sere d Redue Mrch 6, Lecturer: Shh-Yu he Except where otherwe oted, cotet lceed uder BY-N-SA. TW Lcee. otet Sequece & ere Tylor ere Luret ere Zero & pole Redue & redue theorem Evluto
A Study on New Sequence of Functions Involving the Generalized Contour Integral
Globl Jourl of Scece Froter Reerch Mthetc d Deco Scece Volue 3 Iue Vero. Yer 23 Type : Double Bld Peer Revewed Itertol Reerch Jourl Publher: Globl Jourl Ic. (USA Ole ISS: 2249-4626 & Prt ISS: 975-5896
Chapter 7. Bounds for weighted sums of Random Variables
Chpter 7. Bouds for weghted sums of Rdom Vrbles 7. Itroducto Let d 2 be two depedet rdom vrbles hvg commo dstrbuto fucto. Htczeko (998 d Hu d L (2000 vestgted the Rylegh dstrbuto d obted some results bout
Chapter 3 Supplemental Text Material
S3-. The Defto of Fctor Effects Chpter 3 Supplemetl Text Mterl As oted Sectos 3- d 3-3, there re two wys to wrte the model for sglefctor expermet, the mes model d the effects model. We wll geerlly use
SUM PROPERTIES FOR THE K-LUCAS NUMBERS WITH ARITHMETIC INDEXES
Avlble ole t http://sc.org J. Mth. Comput. Sc. 4 (04) No. 05-7 ISSN: 97-507 SUM PROPERTIES OR THE K-UCAS NUMBERS WITH ARITHMETIC INDEXES BIJENDRA SINGH POOJA BHADOURIA AND OMPRAKASH SIKHWA * School of
Acoustooptic Cell Array (AOCA) System for DWDM Application in Optical Communication
596 Acoustooptc Cell Arry (AOCA) System for DWDM Applcto Optcl Commucto ml S. Rwt*, Mocef. Tyh, Sumth R. Ktkur d Vdy Nll Deprtmet of Electrcl Egeerg Uversty of Nevd, Reo, NV 89557, U.S.A. Tel: -775-78-57;
ROUTH-HURWITZ CRITERION
Automti Cotrol Sytem, Deprtmet of Mehtroi Egieerig, Germ Jordi Uiverity Routh-Hurwitz Criterio ite.google.om/ite/ziydmoud 7 ROUTH-HURWITZ CRITERION The Routh-Hurwitz riterio i lytil proedure for determiig
Available online through
Avlble ole through wwwmfo FIXED POINTS FOR NON-SELF MAPPINGS ON CONEX ECTOR METRIC SPACES Susht Kumr Moht* Deprtmet of Mthemtcs West Begl Stte Uverst Brst 4 PrgsNorth) Kolt 76 West Begl Id E-ml: smwbes@yhoo
Linear Approximating to Integer Addition
Lear Approxmatg to Iteger Addto L A-Pg Bejg 00085, P.R. Cha apl000@a.com Abtract The teger addto ofte appled cpher a a cryptographc mea. I th paper we wll preet ome reult about the lear approxmatg for
DATA FITTING. Intensive Computation 2013/2014. Annalisa Massini
DATA FITTING Itesve Computto 3/4 Als Mss Dt fttg Dt fttg cocers the problem of fttg dscrete dt to obt termedte estmtes. There re two geerl pproches two curve fttg: Iterpolto Dt s ver precse. The strteg
The Computation of Common Infinity-norm Lyapunov Functions for Linear Switched Systems
ISS 746-7659 Egd UK Jour of Iformto d Comutg Scece Vo. 6 o. 4. 6-68 The Comutto of Commo Ifty-orm yuov Fuctos for er Swtched Systems Zheg Che Y Go Busess Schoo Uversty of Shgh for Scece d Techoogy Shgh
MOSFET Internal Capacitances
ead MOSFET Iteral aactace S&S (5ed): Sec. 4.8, 4.9, 6.4, 6.6 S&S (6ed): Sec. 9., 9.., 9.3., 9.4-9.5 The curret-voltae relatoh we have dcued thu far for the MOSFET cature the ehavor at low ad oderate frequece.
In Calculus I you learned an approximation method using a Riemann sum. Recall that the Riemann sum is
Mth Sprg 08 L Approxmtg Dete Itegrls I Itroducto We hve studed severl methods tht llow us to d the exct vlues o dete tegrls However, there re some cses whch t s ot possle to evlute dete tegrl exctly I
On a Truncated Erlang Queuing System. with Bulk Arrivals, Balking and Reneging
Appled Mathematcal Scece Vol. 3 9 o. 3 3-3 O a Trucated Erlag Queug Sytem wth Bul Arrval Balg ad Reegg M. S. El-aoumy ad M. M. Imal Departmet of Stattc Faculty Of ommerce Al- Azhar Uverty. Grl Brach Egypt
Chapter Unary Matrix Operations
Chpter 04.04 Ury trx Opertos After redg ths chpter, you should be ble to:. kow wht ury opertos mes,. fd the trspose of squre mtrx d t s reltoshp to symmetrc mtrces,. fd the trce of mtrx, d 4. fd the ermt
UNIT #5 SEQUENCES AND SERIES COMMON CORE ALGEBRA II
Awer Key Nme: Dte: UNIT # SEQUENCES AND SERIES COMMON CORE ALGEBRA II Prt I Quetio. For equece defied by f? () () 08 6 6 f d f f, which of the followig i the vlue of f f f f f f 0 6 6 08 (). I the viul
WELCOME. Welcome! Thank you for attending today s Southwest Rapid Transitway Stage 2 information session.
WELCOME Welcome! Thk you for ttedg tody Southwet Rpd Trtwy Stge 2 formto eo. The followg mterl d reource re vlble to you: A lrge-cle overvew mp, whch offer ummry vew of the etre project, cludg cotructo
Solving Constrained Flow-Shop Scheduling. Problems with Three Machines
It J Cotemp Math Sceces, Vol 5, 2010, o 19, 921-929 Solvg Costraed Flow-Shop Schedulg Problems wth Three Maches P Pada ad P Rajedra Departmet of Mathematcs, School of Advaced Sceces, VIT Uversty, Vellore-632
DERIVATIVES OF KRONECKER PRODUCTS THEMSELVES BASED ON KRONECKER PRODUCT AND MATRIX CALCULUS
Jourl of heoretcl d ppled Iformto echology th Februry 3. Vol. 48 No. 5-3 JI & S. ll rghts reserved. ISSN: 99-8645 www.jtt.org E-ISSN: 87-395 DERIVIVES OF KRONECKER PRODUCS HEMSEVES SED ON KRONECKER PRODUC
Collapsing to Sample and Remainder Means. Ed Stanek. In order to collapse the expanded random variables to weighted sample and remainder
Collapg to Saple ad Reader Mea Ed Staek Collapg to Saple ad Reader Average order to collape the expaded rado varable to weghted aple ad reader average, we pre-ultpled by ( M C C ( ( M C ( M M M ( M M M,
Introduction to mathematical Statistics
Itroducto to mthemtcl ttstcs Fl oluto. A grou of bbes ll of whom weghed romtely the sme t brth re rdomly dvded to two grous. The bbes smle were fed formul A; those smle were fed formul B. The weght gs
Strategies for the AP Calculus Exam
Strteges for the AP Clculus Em Strteges for the AP Clculus Em Strtegy : Kow Your Stuff Ths my seem ovous ut t ees to e metoe. No mout of cochg wll help you o the em f you o t kow the mterl. Here s lst
MATH2999 Directed Studies in Mathematics Matrix Theory and Its Applications
MATH999 Drected Studes Mthemtcs Mtr Theory d Its Applctos Reserch Topc Sttory Probblty Vector of Hgher-order Mrkov Ch By Zhg Sho Supervsors: Prof. L Ch-Kwog d Dr. Ch Jor-Tg Cotets Abstrct. Itroducto: Bckgroud.
Chapter 2 Intro to Math Techniques for Quantum Mechanics
Wter 3 Chem 356: Itroductory Qutum Mechcs Chpter Itro to Mth Techques for Qutum Mechcs... Itro to dfferetl equtos... Boudry Codtos... 5 Prtl dfferetl equtos d seprto of vrbles... 5 Itroducto to Sttstcs...
A Brief Introduction to Olympiad Inequalities
Ev Che Aprl 0, 04 The gol of ths documet s to provde eser troducto to olympd equltes th the stdrd exposto Olympd Iequltes, by Thoms Mldorf I ws motvted to wrte t by feelg gulty for gettg free 7 s o problems
Union, Intersection, Product and Direct Product of Prime Ideals
Globl Jourl of Pure d Appled Mthemtcs. ISSN 0973-1768 Volume 11, Number 3 (2015), pp. 1663-1667 Reserch Id Publctos http://www.rpublcto.com Uo, Itersecto, Product d Drect Product of Prme Idels Bdu.P (1),
NAVD ELEV. (FT! R- 115 RESET BENCHMARK obm -! VENICE INLET NAVD 1988 : feet M.L.L.W. klc
c r E VECE LET9 CSEYS PSS & TRCOSTL WTERWY 9 CUTS 4 & CLOOSTCEE RVER TO CLOTE RVER CUTS S9 TRU S D S3 TRU S37 PROJECT CODTO SURVEY ninl l!!!!j us!'n,cr E k c', Dlslrtcl SFETY ( TS JC DEPElS l YQJ TLLSSEE
APPENDIX 2 LAPLACE TRANSFORMS
APPENDIX LAPLACE TRANSFORMS Thi ppendix preent hort introduction to Lplce trnform, the bic tool ued in nlyzing continuou ytem in the frequency domin. The Lplce trnform convert liner ordinry differentil
Dopant Compensation. Lecture 2. Carrier Drift. Types of Charge in a Semiconductor
Lecture OUTLIE Bc Semcoductor Phycs (cot d) rrer d uo P ucto odes Electrosttcs ctce ot omesto tye semcoductor c be coverted to P tye mterl by couter dog t wth ccetors such tht >. comested semcoductor mterl
Regression. By Jugal Kalita Based on Chapter 17 of Chapra and Canale, Numerical Methods for Engineers
Regresso By Jugl Klt Bsed o Chpter 7 of Chpr d Cle, Numercl Methods for Egeers Regresso Descrbes techques to ft curves (curve fttg) to dscrete dt to obt termedte estmtes. There re two geerl pproches two
The Mathematical Appendix
The Mathematcal Appedx Defto A: If ( Λ, Ω, where ( λ λ λ whch the probablty dstrbutos,,..., Defto A. uppose that ( Λ,,..., s a expermet type, the σ-algebra o λ λ λ are defed s deoted by ( (,,...,, σ Ω.
ScienceDirect. About Verification of Discrete-Continual Finite Element Method of Structural Analysis. Part 2: Three-Dimensional Problems
Avlle ole t wwwscecedrectcom SceceDrect Proced Egeerg 9 (04 4 9 XXIII R-S-P semr heoretcl Foudto of Cvl Egeerg (RSP (FoCE 04 Aout Verfcto of Dscrete-Cotul Fte Elemet Method of Structurl Alyss Prt : hree-dmesol
European Journal of Mathematics and Computer Science Vol. 5 No. 2, 2018 ISSN
Europea Joural of Mathematc ad Computer Scece Vol. 5 o., 018 ISS 059-9951 APPLICATIO OF ASYMPTOTIC DISTRIBUTIO OF MA-HITEY STATISTIC TO DETERMIE THE DIFFERECE BETEE THE SYSTOLIC BLOOD PRESSURE OF ME AD
Department of Economics University of Toronto. ECO2408F M.A. Econometrics. Lecture Notes on Simple Regression Model
Deprtmet f Ecmc Uvert f Trt ECO48F M.A. Ecmetrc Lecture Nte Smple Regre Mdel Smple Regre Mdel I the frt lecture we lked t fttg le t ctter f pt. I th chpter we eme regre methd f eplrg the prbbltc tructure
On a class of analytic functions defined by Ruscheweyh derivative
Lfe Scece Jourl ;9( http://wwwlfescecestecom O clss of lytc fuctos defed by Ruscheweyh dervtve S N Ml M Arf K I Noor 3 d M Rz Deprtmet of Mthemtcs GC Uversty Fslbd Pujb Pst Deprtmet of Mthemtcs Abdul Wl
Graphing Review Part 3: Polynomials
Grphig Review Prt : Polomils Prbols Recll, tht the grph of f ( ) is prbol. It is eve fuctio, hece it is smmetric bout the bout the -is. This mes tht f ( ) f ( ). Its grph is show below. The poit ( 0,0)
8. INVERSE Z-TRANSFORM
8. INVERSE Z-TRANSFORM The proce by whch Z-trnform of tme ere, nmely X(), returned to the tme domn clled the nvere Z-trnform. The nvere Z-trnform defned by: Computer tudy Z X M-fle trn.m ued to fnd nvere
Free vibration analysis of thin circular plates by the indirect Trefftz method
eh Reducto ethod 37 Free vbrto ly of th crculr plte by the drect Trefftz method A. Ghd-Al & A. oorzd Sm Orgzto (Afflted th Ilmc Azd Uverty) Ardbl Brch Ir School of Cvl Egeerg Uverty of Tehr Ir Abtrct The
A Remark on the Uniform Convergence of Some Sequences of Functions
Advaces Pure Mathematcs 05 5 57-533 Publshed Ole July 05 ScRes. http://www.scrp.org/joural/apm http://dx.do.org/0.436/apm.05.59048 A Remark o the Uform Covergece of Some Sequeces of Fuctos Guy Degla Isttut
Theory study about quarter-wave-stack dielectric mirrors
Theor tud about quarter-wave-tack delectrc rror Stratfed edu tratted reflected reflected Stratfed edu tratted cdet cdet T T Frt, coder a wave roagato a tratfed edu. A we kow, a arbtrarl olared lae wave
19 22 Evaluate the integral by interpreting it in terms of areas. (1 x ) dx. y Write the given sum or difference as a single integral in
SECTION. THE DEFINITE INTEGRAL. THE DEFINITE INTEGRAL A Clck here for swers. S Clck here for solutos. Use the Mdpot Rule wth the gve vlue of to pproxmte the tegrl. Roud the swer to four decml plces. 9
20 23 Evaluate the integral by interpreting it in terms of areas. (1 x ) dx. y 2 2
SECTION 5. THE DEFINITE INTEGRAL 5. THE DEFINITE INTEGRAL A Clck here for swers. S Clck here for solutos. 7 Use the Mdpot Rule wth the gve vlue of to pproxmte the tegrl. Roud the swer to four decml plces.
Effect of Wind Speed on Reaction Coefficient of Different Building Height. Chunli Ren1, a, Yun Liu2,b
4th Interntonl Conference on Senor, Meurement nd Intellgent Mterl (ICSMIM 015) Effect of Wnd Speed on Recton Coeffcent of Dfferent Buldng Heght Chunl Ren1,, Yun Lu,b 1 No.9 Dxuexdo. Tnghn Cty, Hebe Provnce,
Bond Additive Modeling 5. Mathematical Properties of the Variable Sum Exdeg Index
CROATICA CHEMICA ACTA CCACAA ISSN 00-6 e-issn -7X Crot. Chem. Act 8 () (0) 9 0. CCA-5 Orgl Scetfc Artcle Bod Addtve Modelg 5. Mthemtcl Propertes of the Vrble Sum Edeg Ide Dmr Vukčevć Fculty of Nturl Sceces
CS473-Algorithms I. Lecture 3. Solving Recurrences. Cevdet Aykanat - Bilkent University Computer Engineering Department
CS473-Algorthms I Lecture 3 Solvg Recurreces Cevdet Aykt - Blket Uversty Computer Egeerg Deprtmet Solvg Recurreces The lyss of merge sort Lecture requred us to solve recurrece. Recurreces re lke solvg
Likewise, properties of the optimal policy for equipment replacement & maintenance problems can be used to reduce the computation.
Whe solvg a vetory repleshmet problem usg a MDP model, kowg that the optmal polcy s of the form (s,s) ca reduce the computatoal burde. That s, f t s optmal to replesh the vetory whe the vetory level s,
European Journal of Mathematics and Computer Science Vol. 5 No. 2, 2018 ISSN
Europea Joural of Mathematc ad Computer Scece Vol. 5 o., 018 ISS 059-9951 APPLICATIO OF ASYMPTOTIC DISTRIBUTIO OF MA-HITEY STATISTIC TO DETERMIE THE DIFFERECE BETEE THE SYSTOLIC BLOOD PRESSURE OF ME AD
Systems of second order ordinary differential equations
Ffth order dgolly mplct Ruge-Kutt Nystrom geerl method solvg secod Order IVPs Fudzh Isml Astrct A dgolly mplct Ruge-Kutt-Nystróm Geerl (SDIRKNG) method of ffth order wth explct frst stge for the tegrto
A New Approach for Computing WZ Factorization
vlble t http://pvmu.edu/m ppl. ppl. Mth. ISSN: 93-9466 Vol. 7, Iue (December ), pp. 57-584 pplcto d ppled Mthemtc: Itertol ourl (M) New pproch for Computg WZ Fctorzto Efft Golpr-bo Deprtmet of Mthemtc
CONTROL SYSTEMS LABORATORY ECE311 LAB 3: Control Design Using the Root Locus
CONTROL SYSTEMS LABORATORY ECE311 LAB 3: Control Deign Uing the Root Locu 1 Purpoe The purpoe of thi lbortory i to deign cruie control ytem for cr uing the root locu. 2 Introduction Diturbnce D( ) = d
ROOT-LOCUS ANALYSIS. Lecture 11: Root Locus Plot. Consider a general feedback control system with a variable gain K. Y ( s ) ( ) K
ROOT-LOCUS ANALYSIS Coder a geeral feedback cotrol yte wth a varable ga. R( Y( G( + H( Root-Locu a plot of the loc of the pole of the cloed-loop trafer fucto whe oe of the yte paraeter ( vared. Root locu
PRACTICE EXAM 2 SOLUTIONS
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Deprtment of Phyic Phyic 8.01x Fll Term 00 PRACTICE EXAM SOLUTIONS Proble: Thi i reltively trihtforwrd Newton Second Lw problem. We et up coordinte ytem which i poitive
Roberto s Notes on Integral Calculus Chapter 4: Definite integrals and the FTC Section 2. Riemann sums
Roerto s Notes o Itegrl Clculus Chpter 4: Defte tegrls d the FTC Secto 2 Rem sums Wht you eed to kow lredy: The defto of re for rectgle. Rememer tht our curret prolem s how to compute the re of ple rego
( ) H α iff α Pure and Impure Altruism C H,H S,T. Find the utility payoff matrix of PD if subjects all have utility u C D
.8. Pure ad pure Altrus u x x x, ~ u P Altrus H,H S,T T,S L,L T H L S Fd the utlty payoff atrx of P f subects all have utlty u Altrus. (sol,, (, H ( T H S T, T S S, S T L (, L( Whe wll (, stll be the oly
On Signed Product Cordial Labeling
Appled Mathematcs 55-53 do:.436/am..6 Publshed Ole December (http://www.scrp.or/joural/am) O Sed Product Cordal Label Abstract Jayapal Baskar Babujee Shobaa Loaatha Departmet o Mathematcs Aa Uversty Chea
T-DOF PID Controller Design using Characteristic Ratio Assignment Method for Quadruple Tank Process
World Academy of Scece, Egeerg ad Techology Iteratoal Joural of Electrcal ad Iformato Egeerg Vol:, No:, 7 T-DOF PID Cotroller Deg ug Charactertc Rato Agmet Method for Quadruple Tak Proce Tacha Sukr, U-tha
Chapter 10 An Introduction to the Analysis of Variance
Chpter 0 A Itroducto to the Aly of Vrce The ly of vrce (ANOVA) oe of the mot powerful tool the the tttc' toolkt. The purpoe of ANOVA to ue vlble etmte of populto vrce to determe f there re megful dfferece
Artificial Intelligence Markov Decision Problems
rtificil Intelligence Mrkov eciion Problem ilon - briefly mentioned in hpter Ruell nd orvig - hpter 7 Mrkov eciion Problem; pge of Mrkov eciion Problem; pge of exmple: probbilitic blockworld ction outcome
ITERATIVE METHODS FOR SOLVING SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS
Numercl Alyss for Egeers Germ Jord Uversty ITERATIVE METHODS FOR SOLVING SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS Numercl soluto of lrge systems of ler lgerc equtos usg drect methods such s Mtr Iverse, Guss
Chapter 4: Distributions
Chpter 4: Dstrbutos Prerequste: Chpter 4. The Algebr of Expecttos d Vrces I ths secto we wll mke use of the followg symbols: s rdom vrble b s rdom vrble c s costt vector md s costt mtrx, d F m s costt
KR20 & Coefficient Alpha Their equivalence for binary scored items
KR0 & Coeffcet Alpha Ther equvalece for bary cored tem Jue, 007 http://www.pbarrett.et/techpaper/r0.pdf f of 7 Iteral Cotecy Relablty for Dchotomou Item KR 0 & Alpha There apparet cofuo wth ome dvdual
Convergence Rates of Density Estimation in Besov Spaces
Aed Mthemtc 58-6 do:436/m75 Pubhed Oe October (htt://wwwscrpor/our/m) Coverece Rte of Dety Etmto Beov Sce Abtrct Huy W Dertmet of Aed Mthemtc Be Uverty of Techooy Be Ch E-m: b865@embuteduc Receved Juy
Random variables and sampling theory
Revew Rdom vrbles d smplg theory [Note: Beg your study of ths chpter by redg the Overvew secto below. The red the correspodg chpter the textbook, vew the correspodg sldeshows o the webste, d do the strred
Integration by Parts for D K
Itertol OPEN ACCESS Jourl Of Moder Egeerg Reserc IJMER Itegrto y Prts for D K Itegrl T K Gr, S Ry 2 Deprtmet of Mtemtcs, Rgutpur College, Rgutpur-72333, Purul, West Begl, Id 2 Deprtmet of Mtemtcs, Ss Bv,
Linear Algebra Concepts
Ler Algebr Cocepts Nuo Vscocelos (Ke Kreutz-Delgdo) UCSD Vector spces Defto: vector spce s set H where ddto d sclr multplcto re defed d stsf: ) +( + ) = (+ )+ 5) H 2) + = + H 6) = 3) H, + = 7) ( ) = (
Metric Spaces: Basic Properties and Examples
1 Metrc Spces: Bsc Propertes d Exmples 1.1 NTODUCTON Metrc spce s dspesble termedte course of evoluto of the geerl topologcl spces. Metrc spces re geerlstos of Euclde spce wth ts vector spce structure
CIS 800/002 The Algorithmic Foundations of Data Privacy October 13, Lecture 9. Database Update Algorithms: Multiplicative Weights
CIS 800/002 The Algorthmc Foudatos of Data Prvacy October 13, 2011 Lecturer: Aaro Roth Lecture 9 Scrbe: Aaro Roth Database Update Algorthms: Multplcatve Weghts We ll recall aga) some deftos from last tme:
BAL-001-AB-0a Real Power Balancing Control Performance
Alberta Relablty Stadards Resource ad Demad Balacg BAL-00-AB-0a. Purpose BAL-00-AB-0a Real Power Balacg Cotrol Performace The purpose of ths relablty stadard s to mata WECC steady-state frequecy wth defed