Revision: June 12, E Main Suite D Pullman, WA (509) Voice and Fax
|
|
- Egbert Brooks
- 8 years ago
- Views:
Transcription
1 .3: Inucors Reson: June, 5 E Man Sue D Pullman, WA Voce an Fax Oerew We connue our suy of energy sorage elemens wh a scusson of nucors. Inucors, lke ressors an capacors, are passe wo-ermnal crcu elemens. Tha s, no exernal power supply s necessary o make hem funcon. Inucors commonly conss of a conuce wre wrappe aroun a core maeral; nucors sore energy n he form of a magnec fel se up aroun he curren-carryng wre. In hs chaper, we escrbe physcal properes of nucors an proe a mahemacal moel for an eal nucor. Usng hs eal nucor moel, we wll eelop mahemacal relaonshps for he energy sore n an nucor an goernng relaons for seres an parallel connecons of nucors. The chaper wll conclue wh a bref scusson of praccal non-eal nucors. Before begnnng hs chaper, you shoul be able o: Ealuae negral an fferenal relaons Skech boh he negral an erae of a gen me funcon Defne olage an curren n erms of elecrcal charge Chaper. Deermne equalen ressance of seres an parallel combnaons of ressors Chaper.5 Afer compleng hs chaper, you shoul be able o: Wre he crcu symbol for an nucor Sae he mechansm by whch an nucor sores energy Sae from memory he olage-curren relaonshp for an nucor n boh fferenal an negral form Sae from memory he response of an nucor o consan olages an nsananeous curren changes Wre he mahemacal expresson escrbng energy sorage n an nucor Deermne he equalen nucance of seres an parallel combnaons of nucors Skech a crcu escrbng a non-eal nucor Ths chaper requres: /A Doc: XXX-YYY page of Copyrgh Dglen, Inc. All rghs resere. Oher prouc an company names menone may be raemarks of her respece owners.
2 .3: Inucors Inucors: Passng a curren hrough a conuce wre wll creae a magnec fel aroun he wre. Ths magnec fel s generally hough of n erms of as formng close loops of magnec flux aroun he curren-carryng elemen. Ths physcal process s use o creae nucors. Fgure llusraes a common ype of nucor, conssng of a cole wre wrappe aroun a core maeral. Passng a curren hrough he conucng wre ses up lnes of magnec flux, as shown n Fgure ; he nucor sores energy n hs magnec fel. The nucance of he nucor s a quany whch ells us how much energy can be sore by he nucor. Hgher nucance means ha more energy can be sore by he nucor. Inucance has uns of Henrys, abbreae H. The amoun of nucance an nucor has s goerne by he geomery of he nucor an he properes of he core maeral. These effecs can be complex; raher han aemp a comprehense scusson of hese effecs, we wll smply clam ha, n general, nucance s epenen upon he followng parameers: The number of mes he wre s wrappe aroun he core. More cols of wre resuls n a hgher nucance. The core maeral s ype an shape. Core maerals are commonly ferromagnec maerals, snce hey resul n hgher magnec flux an corresponngly hgher energy sorage. Ar, howeer, s a farly commonly use core maeral presumably because of s reay aalably. The spacng beween urns of he wre aroun he core. Fgure. Wre-wrappe nucor wh apple curren hrough conuce wre. We wll enoe he oal magnec flux creae by he nucor by ψ, as shown n Fgure. For a lnear nucor, he flux s proporonal o he curren passng hrough he woun wres. The consan of proporonaly s he nucance, : ψ page of Copyrgh Dglen, Inc. All rghs resere. Oher prouc an company names menone may be raemarks of her respece owners.
3 .3: Inucors Volage s he me rae of change of magnec flux, so ψ Combnng equaons an resuls n he olage-curren relaonshp for an eal nucor: 3 The crcu symbol for an nucor s shown n Fgure, along wh he sgn conenons for he olage-curren relaonshp of equaon 3. The passe sgn conenon s use n he olagecurren relaonshp, so pose curren s assume o ener he ermnal wh pose olage polary. Fgure. Inucor crcu symbol an olage-curren sgn conenon. Inegrang boh ses of equaon 3 resuls n he followng form for he nucor s olage-curren relaonshp: 4 In equaon 4, s a known curren a some nal me an s use as a ummy arable of negraon o emphasze ha he only whch sures he negraon process s he upper lm of he negral. Imporan resul: The olage-curren relaonshp for an eal nucor can be sae n eher fferenal or negral form, as follows: page 3 of Copyrgh Dglen, Inc. All rghs resere. Oher prouc an company names menone may be raemarks of her respece owners.
4 .3: Inucors Example : A crcu conans a mh nucor. The curren as a funcon of me hrough he nucor s measure an shown below. Plo he olage across he nucor as a funcon of me. In he me range <<ms, he rae of change of curren s A/sec. Thus, from equaon 3, he olage s.h A / s V. In he me range ms<<ms, he rae of change of curren s -5A/sec. The olage s -.5V. In he me range ms<<3ms, he curren s consan an here s no olage across he nucor. In he me range 3ms<<5ms, he rae of change of curren s -5A/sec. The olage s -.5V. The plo of olage s. me s shown below: Power s he prouc of olage an curren. If he sgns of olage an curren are he same accorng o he passe sgn conenon, he crcu elemen absorbs power. If he sgns of olage an curren are no he same, he crcu elemen generaes power. From he aboe olage an curren cures, he nucor s absorbng power from he crcu urng he mes <<ms an 4ms<<5ms. The nucor reurns power o he crcu urng he mes ms<<ms an 3ms<<4ms. page 4 of Copyrgh Dglen, Inc. All rghs resere. Oher prouc an company names menone may be raemarks of her respece owners.
5 .3: Inucors Example : If he olage as a funcon of me across an nucor wh nucance mh s as shown below, eermne he curren as a funcon of me hrough he capacor. Assume ha he curren hrough he capacor s A a me. Volage, V A me, he curren s gen o be A. In he me pero << msec, he olage s consan an pose so he curren wll ncrease lnearly. The oal curren change urng hs me pero s he area uner he olage cure cure, e by he nucance: 3 V sec A.. In he me pero << msec, he olage s ecreasng lnearly. The curren urng hs me pero s a quarac cure, concae ownwar. The maxmum alue of curren s.5a, a.5 msec. The curren a he en of hs me pero s A. In he me pero <<3 secons, he olage s consan a -V. The curren change urng hs me pero s he area uner he olage cure, e by he nucance: 3 V sec -A. The oal curren a 3 secons s, hen, A A A.. In he me pero 3<<4 secons, he olage s zero. The negral of zero oer any me pero s zero, so here s no change n curren urng hs me range an he curren remans consan a A. A plo of he hrough he nucor as a funcon of me s shown below. Curren, A page 5 of Copyrgh Dglen, Inc. All rghs resere. Oher prouc an company names menone may be raemarks of her respece owners.
6 .3: Inucors I s ofen useful, when analyzng crcus conanng nucors, o examne he crcu s response o consan operang conons an o nsananeous changes n operang conon. We examne he nucor s response o each of hese operang conons below: Inucor response o consan olage: If he curren hrough he nucor s consan, equaon 3 ncaes ha he olage across he nucor s zero. Thus, f he curren hrough he nucor s consan, he nucor s equalen o a shor crcu. Inucor response o nsananeous curren changes: If he curren hrough he nucor changes nsananeously, he rae of change of curren s nfne. Thus, by equaon 3, f we wsh o change he curren hrough an nucor nsananeously, we mus supply nfne olage o he nucor. Ths mples ha nfne power s aalable, whch s no physcally possble. Thus, n any praccal crcu, he curren hrough an nucor canno change nsananeously. Any crcu whch allows an nsananeous change n he curren hrough an eal nucor s no physcally realzable. We may somemes assume, for mahemacal conenence, ha an eal nucor s curren changes suenly; howeer, mus be emphasze ha hs assumpon requres an unerlyng assumpon ha nfne power s aalable an s hus no an allowable operang conon n any physcal crcu. Imporan Inucor Properes: Inucors can be replace by shor-crcus, uner crcumsances when all operang conons are consan. Currens hrough nucors canno change nsananeously. o such requremen s place on olages. Energy Sorage: The nsananeous power sspae by an elecrcal crcu elemen s he prouc of he olage an curren: p 5 Usng equaon 3 o wre he olage n equaon 5 n erms of he nucor s curren: p 6 As was preously one for capacors, we negrae he power wh respec o me o ge he energy sore n he nucor: page 6 of Copyrgh Dglen, Inc. All rghs resere. Oher prouc an company names menone may be raemarks of her respece owners.
7 .3: Inucors W Whch, afer some manpulaon comparable o he approach aken when we calculae energy sorage n capacors, resuls n he followng expresson for he energy sore n an nucor: W 7 Inucors n Seres: Conser he seres connecon of nucors shown n Fgure 3. Fgure 3. Seres connecon of nucors. Applyng Krchoff s olage law aroun he loop resuls n: 8 Usng equaon 3 o wre he nucor olage rops n erms of he curren hrough he loop ges: Usng summaon noaon resuls n k k 9 Ths s he same equaon ha goerns he crcu of Fgure 4, f page 7 of Copyrgh Dglen, Inc. All rghs resere. Oher prouc an company names menone may be raemarks of her respece owners.
8 .3: Inucors page 8 of Copyrgh Dglen, Inc. All rghs resere. Oher prouc an company names menone may be raemarks of her respece owners. k eq k Thus, he equalen nucance of a seres combnaon of nucors s smply he sum of he nual nucances. Ths resul s analogous o he equaons whch proe he equalen ressance of a seres combnaon of ressors. Fgure 4. Equalen crcu o Fgure 3. Inucors n Parallel: Conser he parallel combnaon of nucors, as shown n Fgure 5. - Fgure 5. Parallel combnaon of I nucors. Applyng Krchoff s curren law a he upper noe resuls n: Usng equaon 4 o wre he nucor currens n erms of her olage rops ges: [ ]
9 .3: Inucors Ths can be re-wren usng summaon noaon as k k Ths s he same equaon ha goerns he crcu of Fgure 4, f eq k k 3 For he specal case of wo nucors an n seres, equaon 3 smplfes o eq 4 Equaons 3 an 4 are analogous o he equaons whch proe he equalen ressance of seres combnaons of ressors. Summary: Seres an Parallel Inucors The equalen nucance of a seres combnaon of nucors,,, s goerne by a relaon whch s analogous o ha prong he equalen ressance of a seres combnaon of ressors: eq k k The equalen nucance of a parallel combnaon of nucors,,, s goerne by a relaon whch s analogous o ha prong he equalen ressance of a parallel combnaon of ressors: eq k k Praccal Inucors: Mos commercally aalable nucors are manufacure by wnng wre n arous col confguraons aroun a core. Cores can be a arey of shapes; Fgure n hs chaper shows a core whch s bascally a cylnrcal bar. Toroal cores are also farly common a closely woun oroal core has he aanage ha he magnec fel s confne nearly enrely o he space nse he wnng. Inucors are aalable wh alues from less han mcro-henry µh -6 Henres up o ens of Henres. A H nucor s ery large; nucances of mos commercally aalable nucors are measure n mllhenres mh -3 Henres or mcrohenres. arger nucors are generally use for low-frequency applcaons n whch he sgnals ary slowly wh me. page 9 of Copyrgh Dglen, Inc. All rghs resere. Oher prouc an company names menone may be raemarks of her respece owners.
10 .3: Inucors Aemps a creang nucors n negrae-crcu form hae been largely unsuccessful; herefore many crcus whch are o mplemene as negrae crcus o no nclue nucors. Incluson of nucance n he analyss sage of hese crcus may howeer, be mporan. Snce any currencarryng conucor wll creae a magnec fel, he sray nucance of supposely non-nuce crcu elemens can become an mporan conseraon n he analyss an esgn of a crcu. Praccal nucors, unlke he eal nucors scusse n hs chaper, sspae power. An equalen crcu moel for a praccal nucor s generally creae by placng a ressance n seres wh an eal nucor, as shown n Fgure 6. Fgure 6. Equalen crcu moel for a praccal nucor. page of Copyrgh Dglen, Inc. All rghs resere. Oher prouc an company names menone may be raemarks of her respece owners.
Lecture 40 Induction. Review Inductors Self-induction RL circuits Energy stored in a Magnetic Field
ecure 4 nducon evew nducors Self-nducon crcus nergy sored n a Magnec Feld 1 evew nducon end nergy Transfers mf Bv Mechancal energy ransform n elecrc and hen n hermal energy P Fv B v evew eformulaon of
More informationLecture 11 Inductance and Capacitance
Lecure Inducance and apacance ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc. Goals. Fnd he curren olage for a capacance or nducance gen he olage
More informationMORE ON TVM, "SIX FUNCTIONS OF A DOLLAR", FINANCIAL MECHANICS. Copyright 2004, S. Malpezzi
MORE ON VM, "SIX FUNCIONS OF A DOLLAR", FINANCIAL MECHANICS Copyrgh 2004, S. Malpezz I wan everyone o be very clear on boh he "rees" (our basc fnancal funcons) and he "fores" (he dea of he cash flow model).
More informationSpline. Computer Graphics. B-splines. B-Splines (for basis splines) Generating a curve. Basis Functions. Lecture 14 Curves and Surfaces II
Lecure 4 Curves and Surfaces II Splne A long flexble srps of meal used by drafspersons o lay ou he surfaces of arplanes, cars and shps Ducks weghs aached o he splnes were used o pull he splne n dfferen
More informationHow To Calculate Backup From A Backup From An Oal To A Daa
6 IJCSNS Inernaonal Journal of Compuer Scence and Nework Secury, VOL.4 No.7, July 04 Mahemacal Model of Daa Backup and Recovery Karel Burda The Faculy of Elecrcal Engneerng and Communcaon Brno Unversy
More informationA Hybrid Wind-Solar Energy System: A New Rectifier Stage Topology
A Hybr n-solar Energy Sysem: A New Recfer Sage Topology Joanne Hu*, IEEE Suen Member, Alreza Bakhsha IEEE Senor Member, an Praveen K. Jan, IEEE Fellow Deparmen of Elecrcal an Compuer Engneerng Queen s
More informationInductance and Transient Circuits
Chaper H Inducance and Transien Circuis Blinn College - Physics 2426 - Terry Honan As a consequence of Faraday's law a changing curren hrough one coil induces an EMF in anoher coil; his is known as muual
More informationCapacitors and inductors
Capaciors and inducors We coninue wih our analysis of linear circuis by inroducing wo new passive and linear elemens: he capacior and he inducor. All he mehods developed so far for he analysis of linear
More informationStock Trading with Recurrent Reinforcement Learning (RRL) CS229 Application Project Gabriel Molina, SUID 5055783
Sock raing wih Recurren Reinforcemen Learning (RRL) CS9 Applicaion Projec Gabriel Molina, SUID 555783 I. INRODUCION One relaively new approach o financial raing is o use machine learning algorihms o preic
More informationChapter 7. Response of First-Order RL and RC Circuits
Chaper 7. esponse of Firs-Order L and C Circuis 7.1. The Naural esponse of an L Circui 7.2. The Naural esponse of an C Circui 7.3. The ep esponse of L and C Circuis 7.4. A General oluion for ep and Naural
More informationGUIDANCE STATEMENT ON CALCULATION METHODOLOGY
GUIDANCE STATEMENT ON CALCULATION METHODOLOGY Adopon Dae: 9/28/0 Effecve Dae: //20 Reroacve Applcaon: No Requred www.gpssandards.org 204 CFA Insue Gudance Saemen on Calculaon Mehodology GIPS GUIDANCE STATEMENT
More informationRC (Resistor-Capacitor) Circuits. AP Physics C
(Resisor-Capacior Circuis AP Physics C Circui Iniial Condiions An circui is one where you have a capacior and resisor in he same circui. Suppose we have he following circui: Iniially, he capacior is UNCHARGED
More informationINTERNATIONAL JOURNAL OF STRATEGIC MANAGEMENT
IJSM, Volume, Number, 0 ISSN: 555-4 INTERNATIONAL JOURNAL OF STRATEGIC MANAGEMENT SPONSORED BY: Angelo Sae Unversy San Angelo, Texas, USA www.angelo.edu Managng Edors: Professor Alan S. Khade, Ph.D. Calforna
More informationInsurance. By Mark Dorfman, Alexander Kling, and Jochen Russ. Abstract
he Impac Of Deflaon On Insurance Companes Offerng Parcpang fe Insurance y Mar Dorfman, lexander Klng, and Jochen Russ bsrac We presen a smple model n whch he mpac of a deflaonary economy on lfe nsurers
More informationChapter 2 Kinematics in One Dimension
Chaper Kinemaics in One Dimension Chaper DESCRIBING MOTION:KINEMATICS IN ONE DIMENSION PREVIEW Kinemaics is he sudy of how hings moe how far (disance and displacemen), how fas (speed and elociy), and how
More informationCapacity Planning. Operations Planning
Operaons Plannng Capacy Plannng Sales and Operaons Plannng Forecasng Capacy plannng Invenory opmzaon How much capacy assgned o each producon un? Realsc capacy esmaes Sraegc level Moderaely long me horzon
More information12/7/2011. Procedures to be Covered. Time Series Analysis Using Statgraphics Centurion. Time Series Analysis. Example #1 U.S.
Tme Seres Analyss Usng Sagraphcs Cenuron Nel W. Polhemus, CTO, SaPon Technologes, Inc. Procedures o be Covered Descrpve Mehods (me sequence plos, auocorrelaon funcons, perodograms) Smoohng Seasonal Decomposon
More informationMODELLING DISTURBANCES IN SYSTEM TRACK RAIL VEHICLE
The 8 h Inernaonal Conference RELIABILITY an STATISTICS n TRANSPORTATION an COMMUNICATION - 008 MODELLING DISTURBANCES IN SYSTEM TRACK RAIL VEHICLE Taeus Csosk, Anrej Necas, Jóef Sokłosa Hgh School of
More informationHEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD
Journal of Appled Mahemacs and Compuaonal Mechancs 3, (), 45-5 HEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD Sansław Kukla, Urszula Sedlecka Insue of Mahemacs,
More informationOptimization Design of the Multi-stage Inventory Management for Supply Chain
Inernaonal Journal of u- an e- Servce, Scence an echnology Vol.8, o. 25, pp.35-366 hp://x.o.org/.4257/uness.25.8..34 Opmzaon Desgn of he ul-sage Invenory anagemen for Supply Chan Hongxng Deng*, ng Yuan
More informationAuxiliary Module for Unbalanced Three Phase Loads with a Neutral Connection
CODEN:LUTEDX/TEIE-514/1-141/6 Indusral Elecrcal Engneerng and Auomaon Auxlary Module for Unbalanced Three Phase Loads wh a Neural Connecon Nls Lundsröm Rkard Sröman Dep. of Indusral Elecrcal Engneerng
More information+ + + - - This circuit than can be reduced to a planar circuit
MeshCurrent Method The meshcurrent s analog of the nodeoltage method. We sole for a new set of arables, mesh currents, that automatcally satsfy KCLs. As such, meshcurrent method reduces crcut soluton to
More informationIndex Mathematics Methodology
Index Mahemacs Mehodology S&P Dow Jones Indces: Index Mehodology Ocober 2015 Table of Conens Inroducon 4 Dfferen Varees of Indces 4 The Index Dvsor 5 Capalzaon Weghed Indces 6 Defnon 6 Adjusmens o Share
More informationcooking trajectory boiling water B (t) microwave 0 2 4 6 8 101214161820 time t (mins)
Alligaor egg wih calculus We have a large alligaor egg jus ou of he fridge (1 ) which we need o hea o 9. Now here are wo accepable mehods for heaing alligaor eggs, one is o immerse hem in boiling waer
More informationSignal Rectification
9/3/25 Signal Recificaion.doc / Signal Recificaion n imporan applicaion of juncion diodes is signal recificaion. here are wo ypes of signal recifiers, half-wae and fullwae. Le s firs consider he ideal
More informationAn Architecture to Support Distributed Data Mining Services in E-Commerce Environments
An Archecure o Suppor Dsrbued Daa Mnng Servces n E-Commerce Envronmens S. Krshnaswamy 1, A. Zaslavsky 1, S.W. Loke 2 School of Compuer Scence & Sofware Engneerng, Monash Unversy 1 900 Dandenong Road, Caulfeld
More informationModule 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur
Module 4 Single-phase A circuis ersion EE T, Kharagpur esson 5 Soluion of urren in A Series and Parallel ircuis ersion EE T, Kharagpur n he las lesson, wo poins were described:. How o solve for he impedance,
More informationPROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE
Profi Tes Modelling in Life Assurance Using Spreadshees PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE Erik Alm Peer Millingon 2004 Profi Tes Modelling in Life Assurance Using Spreadshees
More informationAnswer, Key Homework 2 David McIntyre 45123 Mar 25, 2004 1
Answer, Key Homework 2 Daid McInyre 4123 Mar 2, 2004 1 This prin-ou should hae 1 quesions. Muliple-choice quesions may coninue on he ne column or page find all choices before making your selecion. The
More informationGround rules. Guide to the calculation methods of the FTSE Actuaries UK Gilts Index Series v1.9
Ground rules Gude o he calculaon mehods of he FTSE Acuares UK Gls Index Seres v1.9 fserussell.com Ocober 2015 Conens 1.0 Inroducon... 4 1.1 Scope... 4 1.2 FTSE Russell... 5 1.3 Overvew of he calculaons...
More informationNewton s Laws of Motion
Newon s Laws of Moion MS4414 Theoreical Mechanics Firs Law velociy. In he absence of exernal forces, a body moves in a sraigh line wih consan F = 0 = v = cons. Khan Academy Newon I. Second Law body. The
More informationProt sharing: a stochastic control approach.
Pro sharng: a sochasc conrol approach. Donaen Hanau Aprl 2, 2009 ESC Rennes. 35065 Rennes, France. Absrac A majory of lfe nsurance conracs encompass a guaraneed neres rae and a parcpaon o earnngs of he
More informationLinear Extension Cube Attack on Stream Ciphers Abstract: Keywords: 1. Introduction
Lnear Exenson Cube Aack on Sream Cphers Lren Dng Yongjuan Wang Zhufeng L (Language Engneerng Deparmen, Luo yang Unversy for Foregn Language, Luo yang cy, He nan Provnce, 47003, P. R. Chna) Absrac: Basng
More informationKalman filtering as a performance monitoring technique for a propensity scorecard
Kalman flerng as a performance monorng echnque for a propensy scorecard Kaarzyna Bjak * Unversy of Souhampon, Souhampon, UK, and Buro Informacj Kredyowej S.A., Warsaw, Poland Absrac Propensy scorecards
More informationHow Much Life Insurance is Enough?
How Much Lfe Insurance s Enough? Uly-Based pproach By LJ Rossouw BSTRCT The paper ams o nvesgae how much lfe nsurance proecon cover a uly maxmsng ndvdual should buy. Ths queson s relevan n he nsurance
More informationChapter 2 Problems. 3600s = 25m / s d = s t = 25m / s 0.5s = 12.5m. Δx = x(4) x(0) =12m 0m =12m
Chaper 2 Problems 2.1 During a hard sneeze, your eyes migh shu for 0.5s. If you are driving a car a 90km/h during such a sneeze, how far does he car move during ha ime s = 90km 1000m h 1km 1h 3600s = 25m
More informationA binary powering Schur algorithm for computing primary matrix roots
Numercal Algorhms manuscr No. (wll be nsered by he edor) A bnary owerng Schur algorhm for comung rmary marx roos Federco Greco Bruno Iannazzo Receved: dae / Acceed: dae Absrac An algorhm for comung rmary
More informationChapter 6: Business Valuation (Income Approach)
Chaper 6: Business Valuaion (Income Approach) Cash flow deerminaion is one of he mos criical elemens o a business valuaion. Everyhing may be secondary. If cash flow is high, hen he value is high; if he
More informationNetwork Effects on Standard Software Markets: A Simulation Model to examine Pricing Strategies
Nework Effecs on Sandard Sofware Markes Page Nework Effecs on Sandard Sofware Markes: A Smulaon Model o examne Prcng Sraeges Peer Buxmann Absrac Ths paper examnes sraeges of sandard sofware vendors, n
More informationIndividual Health Insurance April 30, 2008 Pages 167-170
Individual Healh Insurance April 30, 2008 Pages 167-170 We have received feedback ha his secion of he e is confusing because some of he defined noaion is inconsisen wih comparable life insurance reserve
More informationLinear Circuits Analysis. Superposition, Thevenin /Norton Equivalent circuits
Lnear Crcuts Analyss. Superposton, Theenn /Norton Equalent crcuts So far we hae explored tmendependent (resste) elements that are also lnear. A tmendependent elements s one for whch we can plot an / cure.
More informationMarkit Excess Return Credit Indices Guide for price based indices
Marki Excess Reurn Credi Indices Guide for price based indices Sepember 2011 Marki Excess Reurn Credi Indices Guide for price based indices Conens Inroducion...3 Index Calculaion Mehodology...4 Semi-annual
More informationFixed Income Attribution. Remco van Eeuwijk, Managing Director Wilshire Associates Incorporated 15 February 2006
Fxed Incoe Arbuon eco van Eeuwk Managng Drecor Wlshre Assocaes Incorporaed 5 February 2006 Agenda Inroducon Goal of Perforance Arbuon Invesen Processes and Arbuon Mehodologes Facor-based Perforance Arbuon
More informationMethodology of the CBOE S&P 500 PutWrite Index (PUT SM ) (with supplemental information regarding the CBOE S&P 500 PutWrite T-W Index (PWT SM ))
ehodology of he CBOE S&P 500 PuWre Index (PUT S ) (wh supplemenal nformaon regardng he CBOE S&P 500 PuWre T-W Index (PWT S )) The CBOE S&P 500 PuWre Index (cker symbol PUT ) racks he value of a passve
More informationSocial security, education, retirement and growth*
Hacenda P úblca Espa ñola / Revsa de Econom ía P úblca, 198-(3/2011): 9-36 2011, Insuo de Esudos Fscales Socal secury, educaon, reremen and growh* CRUZ A. ECHEVARR ÍA AMAIA IZA** Unversdad del Pa ís Vasco
More informationAPPLICATION OF CHAOS THEORY TO ANALYSIS OF COMPUTER NETWORK TRAFFIC Liudvikas Kaklauskas, Leonidas Sakalauskas
The XIII Inernaonal Conference Appled Sochasc Models and Daa Analyss (ASMDA-2009) June 30-July 3 2009 Vlnus LITHUANIA ISBN 978-9955-28-463-5 L. Sakalauskas C. Skadas and E. K. Zavadskas (Eds.): ASMDA-2009
More informationSHIPPING ECONOMIC ANALYSIS FOR ULTRA LARGE CONTAINERSHIP
Journal of he Easern Asa Socey for Transporaon Sudes, Vol. 6, pp. 936-951, 2005 SHIPPING ECONOMIC ANALYSIS FOR ULTRA LARGE CONTAINERSHIP Chaug-Ing HSU Professor Deparen of Transporaon Technology and Manageen
More informationFinite Difference Method Applied for the Beams on Elastic Foundation Theory. Metoda konečných diferencí použitá pro nosníky na pružném podkladu teorie
Fne Dfference Meho Apple for he Beams on Elasc Founaon Theory Meoa onečných ferencí použá pro nosníy na pružném polau eore Mare IKODÝM, Karel FYDÝŠEK Absrac: Ths paper s focuse on he heory of beams on
More informationFinance and Economics Discussion Series Divisions of Research & Statistics and Monetary Affairs Federal Reserve Board, Washington, D.C.
Fnance and Economcs Dscusson Seres Dvsons of Research & Sascs and Moneary Affars Federal Reserve Board, Washngon, D.C. Prcng Counerpary Rs a he Trade Level and CVA Allocaons Mchael Pyhn and Dan Rosen 200-0
More informationOblique incidence: Interface between dielectric media
lecrmagnec Felds Oblque ncdence: Inerface beween delecrc meda Cnsder a planar nerface beween w delecrc meda. A plane wave s ncden a an angle frm medum. The nerface plane defnes he bundary beween he meda.
More informationCHARGE AND DISCHARGE OF A CAPACITOR
REFERENCES RC Circuis: Elecrical Insrumens: Mos Inroducory Physics exs (e.g. A. Halliday and Resnick, Physics ; M. Sernheim and J. Kane, General Physics.) This Laboraory Manual: Commonly Used Insrumens:
More informationCalculating and interpreting multipliers in the presence of non-stationary time series: The case of U.S. federal infrastructure spending
AMERICAN JOURNAL OF SOCIAL AND MANAGEMENT SCIENCES ISSN Prn: 156-1540, ISSN Onlne: 151-1559, do:10.551/ajsms.010.1.1.4.38 010, ScenceHuβ, hp://www.schub.org/ajsms Calculang and nerpreng mulplers n he presence
More informationThe Rules of the Settlement Guarantee Fund. 1. These Rules, hereinafter referred to as "the Rules", define the procedures for the formation
Vald as of May 31, 2010 The Rules of he Selemen Guaranee Fund 1 1. These Rules, herenafer referred o as "he Rules", defne he procedures for he formaon and use of he Selemen Guaranee Fund, as defned n Arcle
More informationTime Series. A thesis. Submitted to the. Edith Cowan University. Perth, Western Australia. David Sheung Chi Fung. In Fulfillment of the Requirements
Mehods for he Esmaon of Mssng Values n Tme Seres A hess Submed o he Faculy of Communcaons, ealh and Scence Edh Cowan Unversy Perh, Wesern Ausrala By Davd Sheung Ch Fung In Fulfllmen of he Requremens For
More information9. Capacitor and Resistor Circuits
ElecronicsLab9.nb 1 9. Capacior and Resisor Circuis Inroducion hus far we have consider resisors in various combinaions wih a power supply or baery which provide a consan volage source or direc curren
More informationLecture 2: Telegrapher Equations For Transmission Lines. Power Flow.
Whies, EE 481 Lecure 2 Page 1 of 13 Lecure 2: Telegraher Equaions For Transmission Lines. Power Flow. Microsri is one mehod for making elecrical connecions in a microwae circui. I is consruced wih a ground
More informationEstimating intrinsic currency values
Cung edge Foregn exchange Esmang nrnsc currency values Forex marke praconers consanly alk abou he srenghenng or weakenng of ndvdual currences. In hs arcle, Jan Chen and Paul Dous presen a new mehodology
More information1 HALF-LIFE EQUATIONS
R.L. Hanna Page HALF-LIFE EQUATIONS The basic equaion ; he saring poin ; : wrien for ime: x / where fracion of original maerial and / number of half-lives, and / log / o calculae he age (# ears): age (half-life)
More informationAn Anti-spam Filter Combination Framework for Text-and-Image Emails through Incremental Learning
An An-spam Fler Combnaon Framework for Tex-and-Image Emals hrough Incremenal Learnng 1 Byungk Byun, 1 Chn-Hu Lee, 2 Seve Webb, 2 Danesh Iran, and 2 Calon Pu 1 School of Elecrcal & Compuer Engr. Georga
More informationChapter 8: Regression with Lagged Explanatory Variables
Chaper 8: Regression wih Lagged Explanaory Variables Time series daa: Y for =1,..,T End goal: Regression model relaing a dependen variable o explanaory variables. Wih ime series new issues arise: 1. One
More informationDuration and Convexity ( ) 20 = Bond B has a maturity of 5 years and also has a required rate of return of 10%. Its price is $613.
Graduae School of Business Adminisraion Universiy of Virginia UVA-F-38 Duraion and Convexiy he price of a bond is a funcion of he promised paymens and he marke required rae of reurn. Since he promised
More informationMaking Use of Gate Charge Information in MOSFET and IGBT Data Sheets
Making Use of ae Charge Informaion in MOSFET and IBT Daa Shees Ralph McArhur Senior Applicaions Engineer Advanced Power Technology 405 S.W. Columbia Sree Bend, Oregon 97702 Power MOSFETs and IBTs have
More informationVoltage level shifting
rek Applicaion Noe Number 1 r. Maciej A. Noras Absrac A brief descripion of volage shifing circuis. 1 Inroducion In applicaions requiring a unipolar A volage signal, he signal may be delivered from a bi-polar
More informationThe Japan-U.S. Exchange Rate, Productivity, and the Competitiveness of Japanese Industries*
1 The apan-u.s. Exchange Rae Producvy and he Compeveness of apanese Indusres* March 2009 Rober Dekle Deparmen of Economcs USC and Kyoj Fukao Insue of Economc Research Hosubash Unversy Wh he Asssance of
More informationMathematics in Pharmacokinetics What and Why (A second attempt to make it clearer)
Mahemaics in Pharmacokineics Wha and Why (A second aemp o make i clearer) We have used equaions for concenraion () as a funcion of ime (). We will coninue o use hese equaions since he plasma concenraions
More informationSmall Menu Costs and Large Business Cycles: An Extension of Mankiw Model *
Small enu Coss an Large Business Ccles: An Exension of ankiw oel * Hirana K Nah Deparmen of Economics an Inl. Business Sam Houson Sae Universi an ober Srecher Deparmen of General Business an Finance Sam
More informationMatrices in Computer Graphics
Marce n Compuer Graphc Tng Yp Mah 8A // Tng Yp Mah 8A Abrac In h paper, we cu an eplore he bac mar operaon uch a ranlaon, roaon, calng an we wll en he cuon wh parallel an perpecve vew. Thee concep commonl
More informationY2K* Stephanie Schmitt-Grohé. Rutgers Uni ersity, 75 Hamilton Street, New Brunswick, New Jersey 08901 E-mail: grohe@econ.rutgers.edu.
Revew of Economc Dynamcs 2, 850856 Ž 1999. Arcle ID redy.1999.0065, avalable onlne a hp:www.dealbrary.com on Y2K* Sephane Schm-Grohé Rugers Unersy, 75 Hamlon Sree, New Brunswc, New Jersey 08901 E-mal:
More informationTransient Analysis of First Order RC and RL circuits
Transien Analysis of Firs Order and iruis The irui shown on Figure 1 wih he swih open is haraerized by a pariular operaing ondiion. Sine he swih is open, no urren flows in he irui (i=0) and v=0. The volage
More informationThe Feedback from Stock Prices to Credit Spreads
Appled Fnance Projec Ka Fa Law (Keh) The Feedback from Sock Prces o Cred Spreads Maser n Fnancal Engneerng Program BA 3N Appled Fnance Projec Ka Fa Law (Keh) Appled Fnance Projec Ka Fa Law (Keh). Inroducon
More informationEmbedded Value Calculation for. a Life Insurance Company
Embedded Value alculaion for a Life Insurance ompany Frédéric Tremblay Frédéric Tremblay, FSA, FIA, is an Acuarial onsulan, Indusrial Alliance, orporae Acuarial Serices, 8 Grande Allée Oues,.P. 97, Succ.
More informationEconomics Honors Exam 2008 Solutions Question 5
Economics Honors Exam 2008 Soluions Quesion 5 (a) (2 poins) Oupu can be decomposed as Y = C + I + G. And we can solve for i by subsiuing in equaions given in he quesion, Y = C + I + G = c 0 + c Y D + I
More informationTable of contents Chapter 1 Interest rates and factors Chapter 2 Level annuities Chapter 3 Varying annuities
Table of conens Chaper 1 Ineres raes and facors 1 1.1 Ineres 2 1.2 Simple ineres 4 1.3 Compound ineres 6 1.4 Accumulaed value 10 1.5 Presen value 11 1.6 Rae of discoun 13 1.7 Consan force of ineres 17
More informationAnalyzing Energy Use with Decomposition Methods
nalyzng nergy Use wh Decomposon Mehods eve HNN nergy Technology Polcy Dvson eve.henen@ea.org nergy Tranng Week Pars 1 h prl 213 OCD/ 213 Dscusson nergy consumpon and energy effcency? How can energy consumpon
More information2D TRANSFORMATIONS (Contd.)
AML7 CAD LECURE 5 D RANSFORMAIONS Con. Sequene of operons, Mr ulplon, onenon, onon of operons pes of rnsforon Affne Mp: A p φ h ps E 3 no self s lle n ffne Mp f leves renr onons nvrn. 3 If β j j,, j E
More informationChapter 6 Interest Rates and Bond Valuation
Chaper 6 Ineres Raes and Bond Valuaion Definiion and Descripion of Bonds Long-erm deb-loosely, bonds wih a mauriy of one year or more Shor-erm deb-less han a year o mauriy, also called unfunded deb Bond-sricly
More informationTesting techniques and forecasting ability of FX Options Implied Risk Neutral Densities. Oren Tapiero
Tesng echnques and forecasng ably of FX Opons Impled Rsk Neural Denses Oren Tapero 1 Table of Conens Absrac 3 Inroducon 4 I. The Daa 7 1. Opon Selecon Crerons 7. Use of mpled spo raes nsead of quoed spo
More informationTHEORETICAL STUDY ON PIPE OF TAPERED THICKNESS WITH AN INTERNAL FLOW TO ESTIMATE NATURAL FREQUENCY
Inernaonal Journal of Mechancal Engneerng and Technology (IJMET) Volue 7, Issue, March-Arl 6,., Arcle ID: IJMET_7 Avalable onlne a h://www.aee.co/ijmet/ssues.as?jtye=ijmet&vtye=7&itye= Journal Iac Facor
More informationThe Transport Equation
The Transpor Equaion Consider a fluid, flowing wih velociy, V, in a hin sraigh ube whose cross secion will be denoed by A. Suppose he fluid conains a conaminan whose concenraion a posiion a ime will be
More informationFundamental Analysis of Receivables and Bad Debt Reserves
Fundamenal Analyss of Recevables and Bad Deb Reserves Mchael Calegar Assocae Professor Deparmen of Accounng Sana Clara Unversy e-mal: mcalegar@scu.edu February 21 2005 Fundamenal Analyss of Recevables
More informationHow To Understand The Theory Of Aemps
MOELLING THE EFFECTS OF TECHNOLOGY-PUSH AN EMAN-PULL POLICIES ON TECHNOLOGICAL CHANGE IN THE ENERGY SECTOR - THE CASE OF PHOTOVOLTAICS Nls Roloff German Aerospace Cener +49-7-6862-545 Nls.Roloff@lr.e Ulrke
More informationA Modification of the HP Filter. Aiming at Reducing the End-Point Bias
Edenösssche Fnanzveralun, Bundesasse 3, CH-33 Bern Admnsraon fédérale des fnances, Bundesasse 3, CH-33 Berne Ammnsrazone federale delle fnanze, Bundesasse 3, CH-33 Berna Sss Federal Fnance Admnsraon, Bundesasse
More informationPerfCenter: A Methodology and Tool for Performance Analysis of Application Hosting Centers
PerfCener: A Mehodology and Tool for Performance Analyss of Applcaon Hosng Ceners Rukma P. Verlekar, Varsha Ape, Prakhar Goyal, Bhavsh Aggarwal Dep. of Compuer Scence and Engneerng Indan Insue of Technology
More information11/6/2013. Chapter 14: Dynamic AD-AS. Introduction. Introduction. Keeping track of time. The model s elements
Inroducion Chaper 14: Dynamic D-S dynamic model of aggregae and aggregae supply gives us more insigh ino how he economy works in he shor run. I is a simplified version of a DSGE model, used in cuing-edge
More informationChapter 9 Bond Prices and Yield
Chaper 9 Bond Prices and Yield Deb Classes: Paymen ype A securiy obligaing issuer o pay ineress and principal o he holder on specified daes, Coupon rae or ineres rae, e.g. 4%, 5 3/4%, ec. Face, par value
More information(Im)possibility of Safe Exchange Mechanism Design
(Im)possbly of Safe Exchange Mechansm Desgn Tuomas Sandholm Compuer Scence Deparmen Carnege Mellon Unversy 5 Forbes Avenue Psburgh, PA 15213 sandholm@cs.cmu.edu XaoFeng Wang Deparmen of Elecrcal and Compuer
More information1. y 5y + 6y = 2e t Solution: Characteristic equation is r 2 5r +6 = 0, therefore r 1 = 2, r 2 = 3, and y 1 (t) = e 2t,
Homework6 Soluions.7 In Problem hrough 4 use he mehod of variaion of parameers o find a paricular soluion of he given differenial equaion. Then check your answer by using he mehod of undeermined coeffiens..
More informationSOLUTIONS RADIOLOGICAL FUNDAMENTALS PRACTICE PROBLEMS FOR TECHNICAL MAJORS
SOLUTIONS RADIOLOGICAL FUNDAMENTALS PRACTICE PROBLEMS FOR TECHNICAL MAJORS Noe: Two DOE Handbooks are used in conjuncion wih he pracice quesions and problems below o provide preparaory maerial for he NPS
More informationChapter 31B - Transient Currents and Inductance
Chapter 31B - Transent Currents and Inductance A PowerPont Presentaton by Paul E. Tppens, Professor of Physcs Southern Polytechnc State Unversty 007 Objectves: After completng ths module, you should be
More informationTHE USE IN BANKS OF VALUE AT RISK METHOD IN MARKET RISK MANAGEMENT. Ioan TRENCA *
ANALELE ŞTIINłIFICE ALE UNIVERSITĂłII ALEXANDRU IOAN CUZA DIN IAŞI Tomul LVI ŞnŃe Economce 009 THE USE IN BANKS OF VALUE AT RISK METHOD IN MARKET RISK MANAGEMENT Ioan TRENCA * Absrac In sophscaed marke
More informationt φρ ls l ), l = o, w, g,
Reservor Smulaon Lecure noe 6 Page 1 of 12 OIL-WATER SIMULATION - IMPES SOLUTION We have prevously lsed he mulphase flow equaons for one-dmensonal, horzonal flow n a layer of consan cross seconal area
More informationChapter 4: Exponential and Logarithmic Functions
Chaper 4: Eponenial and Logarihmic Funcions Secion 4.1 Eponenial Funcions... 15 Secion 4. Graphs of Eponenial Funcions... 3 Secion 4.3 Logarihmic Funcions... 4 Secion 4.4 Logarihmic Properies... 53 Secion
More informationMorningstar Investor Return
Morningsar Invesor Reurn Morningsar Mehodology Paper Augus 31, 2010 2010 Morningsar, Inc. All righs reserved. The informaion in his documen is he propery of Morningsar, Inc. Reproducion or ranscripion
More informationMODELING OF A CANTILEVER BEAM FOR PIEZOELECTRIC ENERGY HARVESTING
MODELING OF A CANTILEVER BEAM FOR PIEZOELECTRIC ENERGY HARVESTING Andreza Tangerno Mneo, Mere Perera de Souza Braun, Hélo Aarecdo Navarro, Paulo Sérgo Varoo Dearameno de Engenhara Mecânca, Escola de Engenhara
More informationPrices of Credit Default Swaps and the Term Structure of Credit Risk
Prces of Cred Defaul Swaps and he Term Srucure of Cred Rsk by Mary Elzabeh Desrosers A Professonal Maser s Projec Submed o he Faculy of he WORCESTER POLYTECHNIC INSTITUTE n paral fulfllmen of he requremens
More informationA New Approach to Linear Filtering and Prediction Problems 1
R. E. KALMAN Research Insue for Advanced Sudy, Balmore, Md. A New Approach o Lnear Flerng and Predcon Problems The classcal flerng and predcon problem s re-examned usng he Bode- Shannon represenaon of
More informationOptimal Taxation. 1 Warm-Up: The Neoclassical Growth Model with Endogenous Labour Supply. β t u (c t, L t ) max. t=0
Opmal Taxaon Reference: L&S 3rd edon chaper 16 1 Warm-Up: The Neoclasscal Growh Model wh Endogenous Labour Supply You looked a lle b a hs for Problem Se 3. Sudy planner s problem: max {c,l,,k +1 } =0 β
More informationThe Virtual Machine Resource Allocation based on Service Features in Cloud Computing Environment
Send Orders for Reprns o reprns@benhamscence.ae The Open Cybernecs & Sysemcs Journal, 2015, 9, 639-647 639 Open Access The Vrual Machne Resource Allocaon based on Servce Feaures n Cloud Compung Envronmen
More informationA Background Layer Model for Object Tracking through Occlusion
A Background Layer Model for Obec Trackng hrough Occluson Yue Zhou and Ha Tao Deparmen of Compuer Engneerng Unversy of Calforna, Sana Cruz, CA 95064 {zhou,ao}@soe.ucsc.edu Absrac Moon layer esmaon has
More information