Thyristors. Vitezslav Benda Dept. of Electrotechnology Czech Technical University in Prague Czech Republic

Size: px
Start display at page:

Download "Thyristors. Vitezslav Benda Dept. of Electrotechnology Czech Technical University in Prague Czech Republic"

Transcription

1 Thyrisors iezslav Beda De. of Elecroechology Czech Techical Uiversiy i rague Czech Reublic

2 Thyrisors - family of swichig devices cosisig of four layers of semicoducor of aleraig doa ye (). Three-ermial hyrisor swiches (riode hyrisors) are he mos imora members of his family. - + J 3 J + J The hree oeraig saes of a hyrisor srucure The aode is egaively biased wih resec o he cahode,, - a high imedace sae called he reverse blockig sae ( R, R ) The aode is osiively biased wih resec o he cahode - a high imedace sae he forward blockig sae ( D, D ) - a low imedace sae he forward coducig sae ( T, T ) T L BR H R T

3 The (Reverse) Blockig Sae + (+ve) reverse blockig sae ) avalache breakdow a jucio J ε rε EBR BR ed D(BO) R(BR) ) breakdow a resul of uch-hrough edw T ε rε w is he hickess of he -regio J 3 J J (a) J 3 J J (-ve) (-ve) Sace-c harge layer Sacecharge layer forward blockig sae The breakdow volage is maximum whe D ε rε E ew The srucure ca be regarded as ha of a rasisor coeced i commo-emier cofiguraio BR (b) (+ve) R(BR) BR ~ γ cosh w R L κ

4 Surface rofiles for High Breakdow olages large-area devices of a circular shae, surface bevellig is ofe used. The surface is mechaically beveled, eched, ad assivaed wih silico rubber For DRM < 35, osiive-egaive or double osiive bevellig are ofe used (a) double egaive bevellig (b) osiive - egaive bevellig For high volages, double osiive bevellig is mosly used (c) double osiive bevellig (d) double osiive bevellig devices of a recagular shae, he guard rig, filed lae ad SOS echiques are used, oo.

5 The Two-Trasisor Model for Thyrisor Swichig C C (a) (b) (c) he case of oe gae ( ) + E E C C C M ( α ) M ( α + ) + M The aode curre is he Thyrisor urs o ( ) if For > E C ( ) - M ( α + α ) Collecor curres of he arial rasisor srucures C C E M α C +α Suosig D << BR, M, ad α + C α ( α + )

6 To decrease emeraure deedece of D(BO), i is ecessary o decrease ijecio efficiecy of he cahode emier by cahode shors R SH J 3 J J + Sace-charge layer (a) (b) Sice J3 SH R SH, his becomes α < J 3 eff α α J 3 + SH The ur-o codiio is ow α +α eff

7 Criical d/d f he blockig volage icreases wih he rae d D /d, he dislaceme curre desiy J q d d ( C ) j D C j + D dc d j D d d has a effec similar o a osiive gae curre, herefore a cahode shor aer is geerally used The dislaceme curre flows radially o a shor wih a desiy r ( r) J π rdr J π ( r r ) q r q The radial oeial gradie is: d ( r) D dr ρ π rw (r -r ) r The volage bewee r ad r, ca be exressed as SH r r d dr dr ρj r w q r F r E F r l r 4 r r F E is a volage causig he direc ijecio from + jucio ha occurs a a criical curre desiy w ρr F J qcri E J q J qcri d d D d d D cri 5 r 5 r

8 The Forward Coducig Sae + + J+ J+ w he wo rasisor model, a leas oe of he arial rasisor srucures mus be sauraed whe he hyrisor is i he o-sae α α + J J < T T + i + The ier layers are flooded wih excess carriers due o high ijecio from boh + ad + emiers (elecro-hole lasma) carrier coceraio -w/ w/ x The o-sae characerisic of a hyrisor is similar o a forward diode characerisic T αkt + e l J w cosh J L a m F oeial J+ w comlicaes he DRM T rade-of J+ w w + w + x

9 α α The ur-o codiio + < J J is valid for curre desiies J T > J M T T + Sace-charge regio J 3 J + + off o The miimum curre desiy J M is i order /cm. J large-area devices, oly a orio T of he oal area + J J J 3 T J T M is ured-o (elecro-hole lasma) Some differeces from a diode-like characerisics ca be observed a lower curres

10 Trasie rocesses durig Tur-O..9 D. D D D d g f Whe a gae imuls is alied, a chage of characerisics ca be observed wih a delay w w d > + D D The delay ime is coeced wih a miimum riggerig charge Q T. Therefore, he d deeds o he gae curre d τ l T The ur-o ime + The fall ime f deeds o he d T /d i he circui g d f T dt d The origial ur-o regio is close o he gae coac ad i sreads due o a laeral velociy The saic o-sae chracerisic is reached for v s l J + B v s J J M

11 Criical di/d high d T /d. he begiig a area is ured-o. Eergy dissiaed i he ur-o area W W d ( ) d ( ) cri For W > W cri he hermal breakdow occurs d T /d < (d T /d) cri large is ecessary a large gae sigal is ecessary for High di/d oeraios The amlifyig gae cosrucio J J 3 + uxiliary cahode J +

12 Trasie rocesses durig Tur-off Turig hyrisor off, is is ecessary o remove charge of excess carriers sored i ier layers (elecro-hole lasma) o resore he sace charge regio a he jucio J (he blockig sae). could be realised by. Tur-off whe he o-sae curre decreases below he holdig curre. Tur-off by circui commuaio 3. Tur-off brough abou by he alicaio of a egaive gae volage. Tur-off by a Decrease of Forward Curre. α α For o-sae curre desiy,j T + < J J The miimum o-sae curre desiy J M ( /cm < J M < /cm ) is a fucio of layer hickess, carrier lifeime ad emier efficiecy ad emeraure (a deedece o he cahode shu desiy rereseed by he geomeric facor F is demosraed i figure) f he o-sae curre decreases, he ured-o area decreases, so ha he curre desiy remais a J M. T T The holdig curre, H, deeds o he rae of decrease of he o-sae curre, he miimum holdig curre H is for very slow decrease of T. f he geomeric facor, F, ca be reduced raidly, by makig emier shors elecroically, i is ossible o ur he hyrisor off icreasig he holdig curre. This ricile is used i he ur-off rocess of he MOS-Corolled Thyrisor

13 Thyrisor Tur-off Usig Circui Commuaio Wih a dc-suly, ur-off requires a auxiliary source ha is able o commuae he aode curre whe i is alied o he hyrisor for a shor ime. The ur-off ime q is he ierval from he isa ha he fallig aode curre crosses zero uil he mome ha he aode volage agai becomes osiive. The excess carrier disribuio i a hyrisor i he o-sae is similar o ha i a forward biased + + diode. Therefore, he reverse recovery akes lace i a similar way. he sorage ime s, a charge Q remais i ier layers of hyrisor srucure. The hyrisor urs off successfully oly if he excess free charge remaiig i he device afer q is less ha some criical value, Q cr. q s + τ eff Q l Q cr τ eff Q l Q Q, deeds o he circui commuaio codiios (di R /d ad R ) The criical charge, Q cri, decreases wih icreasig d D /d a recovery ad emeraure. cr

14 The criical charge Q cri decreases wih boh d D /d ad emeraure shor carrier lifeime is ecessary for obaiig a shor ur-off ime q. From ha follows a comlicaed rade-off bewee DRM, T, ad q

15 Basic iverer circuis SCR C SCR fas reverse blockig hyrisor is ecessary i L v L L The soluio wih aiarallel diodes ivolves he use of assymerical hyrisors wih he T cosrucio (SCR) or wih a iegraed aiarallel diode RCT- Reverse Coducig Thyrisor C Diode Secio s Thyrisor Secio SCR D D SCR D 3 Load + +

16 ae Tur-Off he wo-rasisor aalogy, he aode curre ca be exressed as: α + α α + + ( ) α lyig a egaive gae gurre The maximum available ur off gai offm The off has a maximum whe α is high ad α is low Q Q α α + α Reverse blockig (T) TO large -base hickess ad a low carrier lifeime o kee α low ssymerical (T) TO α decreased by he use of aode shors

17 The maximum allowable egaive gae curre he laeral resisace of he -base layer R he breakdow volage of jucio J 3, (BR), M 4 (BR) R is limied by TQM 4 offm R (BR) 4α (BR) ( α + α ) R The high-ower TO mus be cosruced as a iegraio of may -arallel coeced segmes. The maximum o sae curre TQM deeds o umber of segmes TQM

18 The sored charge eriod a charge of excess carriers from he -base mus be removed Q ew av Q ( w + w ) ( w + w ) o τ gs H av (BR) he sorage ime gs gs Q w τ H τ H off ( w + w ) ( w + w ) w RM off / < offm This meas oeraig he hyrisor a a lower ur-off gai off, he gae sigals should be see gs d / d C s Courses of curre ad volage durig he ur-o rocess deed o he load. For a resisive load.8τ H ε ε rs g f w + w e ( ) D T T.9 T. T s gs gq gf Tail curre Resisive load Effec of subber D s R s To decrease loses durig ur-o, subbers are ofe used

19 Differece i sorage ime of TO segmes wih differe carrier lifeime gs τ H w w + w ll he curre coceraes i he wih he loges carrier lifeime a ossibiliy of desrucio Maximum Miimum carrier lifeime ( s) irradiaio dose ( - cm - )

20 To decrease differeces i he sorage ime gs a higher egaive gae imulse may be alied gs τ H w w + w For >, i is ossible o obai siuaio whe all segmes ur-off a he same ime ad he cahode curre is o coceraed oly for a few segmes i he ed of he ur-off CT - ae Commuaed Thyrisors he case cosrucio wih a arasiic iducace i he gae elecrode below 5 H CT egraed ae Commuaed Thyrisor iegraio of a CT wih a source of gae sigals ivolvig d /d > /µs

21 LTT Ligh Triggerig Thyrisor bsorio deh (micros) he alicaio of ligh (hν > W g ), oical geeraio of elecro-hole airs occurs. The effec of he oical carrier geeraio is similar o ha of he elecro ijecio from he + emier followig he alicaio of a osiive gae volage Wavelegh (micros) Ligh uide + + To obai saisfacory ur-o wih a reasoably low oical ower, while o he oher had high values of he arameers, (d D /d) cri ad (d T /d) cri, are required, he srucure ad layou of he oical gae regio is very imora - + Oical ower desiy r

REVERSE CHARACTERISTICS OF PN JUNCTION

REVERSE CHARACTERISTICS OF PN JUNCTION EESE CHAACESCS O N JUNCON Whe ucio reverse biased, sace charge regio creaed by ioised doors ad acceors exeds. Elecric field ad volage disribuio ca be fid solvig oisso equaio e( ND NA ) div E div grad ε

More information

Complementi di Fisica Lecture 6

Complementi di Fisica Lecture 6 Comlemei di Fisica Lecure 6 Livio Laceri Uiversià di Triese Triese, 15/17-10-2006 Course Oulie - Remider The hysics of semicoducor devices: a iroducio Basic roeries; eergy bads, desiy of saes Equilibrium

More information

ECE 340 Lecture 15 and 16: Diffusion of Carriers Class Outline:

ECE 340 Lecture 15 and 16: Diffusion of Carriers Class Outline: ECE 340 Lecure 5 ad 6: iffusio of Carriers Class Oulie: iffusio rocesses iffusio ad rif of Carriers Thigs you should kow whe you leave Key Quesios Why do carriers diffuse? Wha haes whe we add a elecric

More information

ECE 340 Lecture 19 : Steady State Carrier Injection Class Outline:

ECE 340 Lecture 19 : Steady State Carrier Injection Class Outline: ECE 340 ecure 19 : Seady Sae Carrier Ijecio Class Oulie: iffusio ad Recombiaio Seady Sae Carrier Ijecio Thigs you should kow whe you leave Key Quesios Wha are he major mechaisms of recombiaio? How do we

More information

Power Bus Decoupling Algorithm

Power Bus Decoupling Algorithm Rev. 0.8.03 Power Bus Decoulig Algorihm Purose o Algorihm o esimae he magiude o he oise volage o he ower bus es. Descriio o Algorihm his algorihm is alied oly o digial ower bus es. or each digial ower

More information

Electrical Engineering Department Network Lab.

Electrical Engineering Department Network Lab. Par:- Elecrical Egieerig Deparme Nework Lab. Deermiaio of differe parameers of -por eworks ad verificaio of heir ierrelaio ships. Objecive: - To deermie Y, ad ABD parameers of sigle ad cascaded wo Por

More information

2007 Spring VLSI Design Mid-term Exam 2:20-4:20pm, 2007/05/11

2007 Spring VLSI Design Mid-term Exam 2:20-4:20pm, 2007/05/11 7 ri VLI esi Mid-erm xam :-4:m, 7/5/11 efieτ R, where R ad deoe he chael resisace ad he ae caaciace of a ui MO ( W / L μm 1μm ), resecively., he chael resisace of a ui PMO, is wo R P imes R. i.e., R R.

More information

The Inverter. References:

The Inverter. References: The Iverer Refereces: Adaped from: Digial Iegraed Circuis: A Desig Perspecive, J. Rabaey UCB Priciples of CMOS LSI Desig: A Sysems Perspecive, d Ed., N. H. E. Wese ad K. Eshraghia Regios of Operaio Cuoff

More information

3.8. Other Unipolar Junctions

3.8. Other Unipolar Junctions 3.8. Oher Uipolar ucios The meal-semicoducor jucio is he mos sudied uipolar jucio, be o he oly oe ha occurs i semicoducor devices. Two oher uipolar jucios are he - homojucio ad he - Heerojucio. The - homojucio

More information

A TRANSIENT MODEL FOR INSULATED GATE BIPOLAR. TRANSISTORS (IGBTs) Mohsen A Hajji. B.S. in E.E., University of Pittsburgh, 1988

A TRANSIENT MODEL FOR INSULATED GATE BIPOLAR. TRANSISTORS (IGBTs) Mohsen A Hajji. B.S. in E.E., University of Pittsburgh, 1988 A ANSEN MODEL FO NSULAED GAE OLA ANSSOS Gs y Mohse A Hajji.S. i E.E., Uiversiy of isburgh, 988 M.S. i E.E., Uiversiy of isburgh, 996 Submied o he Graduae Faculy of he school of Egieerig arial fulfillme

More information

Lecture 15: Three-tank Mixing and Lead Poisoning

Lecture 15: Three-tank Mixing and Lead Poisoning Lecure 15: Three-ak Miig ad Lead Poisoig Eigevalues ad eigevecors will be used o fid he soluio of a sysem for ukow fucios ha saisfy differeial equaios The ukow fucios will be wrie as a 1 colum vecor [

More information

Pure Math 30: Explained!

Pure Math 30: Explained! ure Mah : Explaied! www.puremah.com 6 Logarihms Lesso ar Basic Expoeial Applicaios Expoeial Growh & Decay: Siuaios followig his ype of chage ca be modeled usig he formula: (b) A = Fuure Amou A o = iial

More information

Design and Application Notes for AP3765 System Solution

Design and Application Notes for AP3765 System Solution licaio oe 064 Desig ad licaio oes for 3765 ysem oluio reared by u Ju Jie ysem Egeerg De.. roducio The 3765 uses ulse Frequecy Modulaio (FM) mehod o realize Discouous Coducio Mode (DCM) oeraio for flyback

More information

CMOS Digital Integrated Circuits Analysis and Design. Chapter 6 MOS Inverters: Switching Characteristics and Interconnect Effects

CMOS Digital Integrated Circuits Analysis and Design. Chapter 6 MOS Inverters: Switching Characteristics and Interconnect Effects MOS Digial Iegraed ircuis Aalysis ad Desig haer 6 MOS Iverers: Swichig haracerisics ad Iercoec Effecs Iroducio he arasiic caaciace associaed wih MOSFE gd gs gae overla wih diffusio db sb volage deeda jucio

More information

ECE Semiconductor Device and Material Characterization

ECE Semiconductor Device and Material Characterization ECE 483 Semicoducor Device ad Maerial Characerizaio Dr. Ala Doolile School of Elecrical ad Comuer Egieerig Georgia Isiue of Techology As wih all of hese lecure slides, I am idebed o Dr. Dieer Schroder

More information

Fresnel Dragging Explained

Fresnel Dragging Explained Fresel Draggig Explaied 07/05/008 Decla Traill Decla@espace.e.au The Fresel Draggig Coefficie required o explai he resul of he Fizeau experime ca be easily explaied by usig he priciples of Eergy Field

More information

Section 8 Convolution and Deconvolution

Section 8 Convolution and Deconvolution APPLICATIONS IN SIGNAL PROCESSING Secio 8 Covoluio ad Decovoluio This docume illusraes several echiques for carryig ou covoluio ad decovoluio i Mahcad. There are several operaors available for hese fucios:

More information

C(p, ) 13 N. Nuclear reactions generate energy create new isotopes and elements. Notation for stellar rates: p 12

C(p, ) 13 N. Nuclear reactions generate energy create new isotopes and elements. Notation for stellar rates: p 12 Iroducio o sellar reacio raes Nuclear reacios geerae eergy creae ew isoopes ad elemes Noaio for sellar raes: p C 3 N C(p,) 3 N The heavier arge ucleus (Lab: arge) he ligher icomig projecile (Lab: beam)

More information

PI3B V, 16-Bit to 32-Bit FET Mux/DeMux NanoSwitch. Features. Description. Pin Configuration. Block Diagram.

PI3B V, 16-Bit to 32-Bit FET Mux/DeMux NanoSwitch. Features. Description. Pin Configuration. Block Diagram. 33V, 6-Bi o 32-Bi FET Mux/DeMux NaoSwich Feaures -ohm Swich Coecio Bewee Two Pors Near-Zero Propagaio Delay Fas Swichig Speed: 4s (max) Ulra -Low Quiesce Power (02mA yp) Ideal for oebook applicaios Idusrial

More information

2 f(x) dx = 1, 0. 2f(x 1) dx d) 1 4t t6 t. t 2 dt i)

2 f(x) dx = 1, 0. 2f(x 1) dx d) 1 4t t6 t. t 2 dt i) Mah PracTes Be sure o review Lab (ad all labs) There are los of good quesios o i a) Sae he Mea Value Theorem ad draw a graph ha illusraes b) Name a impora heorem where he Mea Value Theorem was used i he

More information

Electronic Properties of TANOS Flash Memory

Electronic Properties of TANOS Flash Memory Elecroic Proeries of TANOS Flash Memory Vladimir Griseko Isiue of Semicoducor Physics Siberia Brach of Russia Academy of Scieces Novosibirsk e-mail: gris@is.sc Oulook Marke of flash memory Pricial of flash

More information

Silicon Controlled Rectifiers UNIT-1

Silicon Controlled Rectifiers UNIT-1 Silicon Conrolled Recifiers UNIT-1 Silicon Conrolled Recifier A Silicon Conrolled Recifier (or Semiconducor Conrolled Recifier) is a four layer solid sae device ha conrols curren flow The name silicon

More information

Ideal Amplifier/Attenuator. Memoryless. where k is some real constant. Integrator. System with memory

Ideal Amplifier/Attenuator. Memoryless. where k is some real constant. Integrator. System with memory Liear Time-Ivaria Sysems (LTI Sysems) Oulie Basic Sysem Properies Memoryless ad sysems wih memory (saic or dyamic) Causal ad o-causal sysems (Causaliy) Liear ad o-liear sysems (Lieariy) Sable ad o-sable

More information

Clock Skew and Signal Representation

Clock Skew and Signal Representation Clock Skew ad Sigal Represeaio Ch. 7 IBM Power 4 Chip 0/7/004 08 frequecy domai Program Iroducio ad moivaio Sequeial circuis, clock imig, Basic ools for frequecy domai aalysis Fourier series sigal represeaio

More information

Key Questions. ECE 340 Lecture 16 and 17: Diffusion of Carriers 2/28/14

Key Questions. ECE 340 Lecture 16 and 17: Diffusion of Carriers 2/28/14 /8/4 C 340 eure 6 ad 7: iffusio of Carriers Class Oulie: iffusio roesses iffusio ad rif of Carriers Thigs you should kow whe you leave Key Quesios Why do arriers use? Wha haes whe we add a eleri field

More information

CHAP.4 Circuit Characteristics and Performance Estimation

CHAP.4 Circuit Characteristics and Performance Estimation HAP.4 ircui haracerisics ad Performace Esimaio 4. Resisace esimaio ρ l R w (ohms) where ρ resisiviy hickess l coducor legh w coducor widh l R Rs w where Rs shee resisace (Ω/square) i 0.5µm o.0µm MOS processes

More information

COMBUSTION. TA : Donggi Lee ROOM: Building N7-2 #3315 TELEPHONE : 3754 Cellphone : PROF.

COMBUSTION. TA : Donggi Lee ROOM: Building N7-2 #3315 TELEPHONE : 3754 Cellphone : PROF. COMBUSIO ROF. SEUG WOOK BAEK DEARME OF AEROSACE EGIEERIG, KAIS, I KOREA ROOM: Buldng 7- #334 ELEHOE : 3714 Cellphone : 1-53 - 5934 swbaek@kast.a.kr http://proom.kast.a.kr A : Dongg Lee ROOM: Buldng 7-

More information

λiv Av = 0 or ( λi Av ) = 0. In order for a vector v to be an eigenvector, it must be in the kernel of λi

λiv Av = 0 or ( λi Av ) = 0. In order for a vector v to be an eigenvector, it must be in the kernel of λi Liear lgebra Lecure #9 Noes This week s lecure focuses o wha migh be called he srucural aalysis of liear rasformaios Wha are he irisic properies of a liear rasformaio? re here ay fixed direcios? The discussio

More information

5STF 28H2060. Fast Thyristor. VDRM, VRRM = V High operational capability. ITAV = A Optimized turn-off parameters

5STF 28H2060. Fast Thyristor. VDRM, VRRM = V High operational capability. ITAV = A Optimized turn-off parameters 5STF 28H26 5STF 28H26 Fas Thyrisor Properies Key Parameers Amplifying gae VDRM, VRRM = 2 V High operaional capabiliy ITAV = 2 667 A Opimized urn-off parameers ITSM = 46.5 ka VTO = 1.198 V Applicaions rt

More information

Department of Electrical and Computer Engineering COEN 451 April 25, 2008

Department of Electrical and Computer Engineering COEN 451 April 25, 2008 Deparme of Elecrical ad ompuer Egieerig OEN 45 April 5, 008 Aswer all Quesios. All Quesios carry equal marks Exam Duraio 3 hour You may use he crib shee ad MOSIS5B parameers aached. Oly recommeded calculaors

More information

PI3B

PI3B 234789023478902347890223478902347890234789022347890234789023478902234789023478902347890223478902 Feaures Near-Zero propagaio delay -ohm swiches coec ipus o oupus Fas Swichig Speed - 4s max Permis Ho Iserio

More information

Calculus Limits. Limit of a function.. 1. One-Sided Limits...1. Infinite limits 2. Vertical Asymptotes...3. Calculating Limits Using the Limit Laws.

Calculus Limits. Limit of a function.. 1. One-Sided Limits...1. Infinite limits 2. Vertical Asymptotes...3. Calculating Limits Using the Limit Laws. Limi of a fucio.. Oe-Sided..... Ifiie limis Verical Asympoes... Calculaig Usig he Limi Laws.5 The Squeeze Theorem.6 The Precise Defiiio of a Limi......7 Coiuiy.8 Iermediae Value Theorem..9 Refereces..

More information

INVESTMENT PROJECT EFFICIENCY EVALUATION

INVESTMENT PROJECT EFFICIENCY EVALUATION 368 Miljeko Crjac Domiika Crjac INVESTMENT PROJECT EFFICIENCY EVALUATION Miljeko Crjac Professor Faculy of Ecoomics Drsc Domiika Crjac Faculy of Elecrical Egieerig Osijek Summary Fiacial efficiecy of ivesme

More information

Thin MLCC (Multi-Layer Ceramic Capacitor) Reliability Evaluation Using an Accelerated Ramp Voltage Test

Thin MLCC (Multi-Layer Ceramic Capacitor) Reliability Evaluation Using an Accelerated Ramp Voltage Test cceleraed Sress Tesig ad Reliabiliy Thi MLCC (Muli-Layer Ceramic Capacior) Reliabiliy Evaluaio Usig a cceleraed Ramp olage Tes Joh Scarpulla The erospace Corporaio joh.scarpulla@aero.org Jauary-4-7 Sepember

More information

5STF 11F3010 Old part no. TR Fast Thyristor

5STF 11F3010 Old part no. TR Fast Thyristor 5STF 11F31 5STF 11F31 Old par no. TR 918-111-3 Fas Thyrisor Properies Key Parameers Amplifying gae V DRM, V RRM = 3 V High operaional capabiliy I TAV = 1 11 A Opimized urn-off parameers I TSM = 1. ka V

More information

A Two-Level Quantum Analysis of ERP Data for Mock-Interrogation Trials. Michael Schillaci Jennifer Vendemia Robert Buzan Eric Green

A Two-Level Quantum Analysis of ERP Data for Mock-Interrogation Trials. Michael Schillaci Jennifer Vendemia Robert Buzan Eric Green A Two-Level Quaum Aalysis of ERP Daa for Mock-Ierrogaio Trials Michael Schillaci Jeifer Vedemia Rober Buza Eric Gree Oulie Experimeal Paradigm 4 Low Workload; Sigle Sessio; 39 8 High Workload; Muliple

More information

5STF 07T1414 Old part no. TR 907FC

5STF 07T1414 Old part no. TR 907FC 5STF 7T1414 Medium Frequency Thyrisor Properies 5STF 7T1414 Old par no. TR 97FC-74-14 Key Parameers Amplifying gae V DRM, V RRM = 1 4 V High operaional capabiliy I TAV = 736 A Opimized urn-on and urn-off

More information

Institute of Actuaries of India

Institute of Actuaries of India Isiue of cuaries of Idia Subjec CT3-robabiliy ad Mahemaical Saisics May 008 Eamiaio INDICTIVE SOLUTION Iroducio The idicaive soluio has bee wrie by he Eamiers wih he aim of helig cadidaes. The soluios

More information

Features / Advantages: Applications: Package: SMPD

Features / Advantages: Applications: Package: SMPD X0PLB XP GB x CES C CE(sa). SOPLUS Surface Moun Power Device Phase leg SCR / GB Par number X0PLB Backside: isolaed E664 6 4 Feaures / dvanages: pplicaions: Package: SMPD XP GB - low sauraion volage - posiive

More information

NUMERICAL SIMULATION OF NANOSCALE DOUBLE-GATE MOSFETS

NUMERICAL SIMULATION OF NANOSCALE DOUBLE-GATE MOSFETS NUMEICAL SIMULAION OF NANOSCALE DOULE-AE MOSFES olad Sezel, Leif Müller, om Herrma, Wilfried Klix Dearme of Elecrical Egieerig Uiversiy of Alied Scieces Dresde Friedrich-Lis-Plaz, D-69 Dresde ermay ASAC

More information

Notes 03 largely plagiarized by %khc

Notes 03 largely plagiarized by %khc 1 1 Discree-Time Covoluio Noes 03 largely plagiarized by %khc Le s begi our discussio of covoluio i discree-ime, sice life is somewha easier i ha domai. We sar wih a sigal x[] ha will be he ipu io our

More information

Fluctuation and Flow Probes of Early-Time Correlations

Fluctuation and Flow Probes of Early-Time Correlations Flucuaio ad Flow Probes of Early-Time Correlaios WPCF 0 Frakfur am Mai, Seember 0 George Moschelli Frakfur Isiue for Adaced Sudies & Sea Gai Waye Sae Uiersiy Moiaio Two Paricle Correlaios: d d d Pair Disribuio

More information

CHAPTER 2 TORSIONAL VIBRATIONS

CHAPTER 2 TORSIONAL VIBRATIONS Dr Tiwari, Associae Professor, De. of Mechaical Egg., T Guwahai, (riwari@iig.ere.i) CHAPTE TOSONAL VBATONS Torsioal vibraios is redomia wheever here is large discs o relaively hi shafs (e.g. flywheel of

More information

Review Answers for E&CE 700T02

Review Answers for E&CE 700T02 Review Aswers for E&CE 700T0 . Deermie he curre soluio, all possible direcios, ad sepsizes wheher improvig or o for he simple able below: 4 b ma c 0 0 0-4 6 0 - B N B N ^0 0 0 curre sol =, = Ch for - -

More information

Chapter 6 MOSFET in the On-state

Chapter 6 MOSFET in the On-state Chaper 6 MOSFET in he On-sae The MOSFET (MOS Field-Effec Transisor) is he building block of Gb memory chips, GHz microprocessors, analog, and RF circuis. Mach he following MOSFET characerisics wih heir

More information

Class 36. Thin-film interference. Thin Film Interference. Thin Film Interference. Thin-film interference

Class 36. Thin-film interference. Thin Film Interference. Thin Film Interference. Thin-film interference Thi Film Ierferece Thi- ierferece Ierferece ewee ligh waves is he reaso ha hi s, such as soap ules, show colorful paers. Phoo credi: Mila Zikova, via Wikipedia Thi- ierferece This is kow as hi- ierferece

More information

ES 330 Electronics II Homework 03 (Fall 2017 Due Wednesday, September 20, 2017)

ES 330 Electronics II Homework 03 (Fall 2017 Due Wednesday, September 20, 2017) Pae1 Nae Soluios ES 330 Elecroics II Hoework 03 (Fall 017 ue Wedesday, Sepeber 0, 017 Proble 1 You are ive a NMOS aplifier wih drai load resisor R = 0 k. The volae (R appeari across resisor R = 1.5 vols

More information

XPT IGBT Module MIXA450PF1200TSF. Phase leg + free wheeling Diodes + NTC MIXA450PF1200TSF. Part number

XPT IGBT Module MIXA450PF1200TSF. Phase leg + free wheeling Diodes + NTC MIXA450PF1200TSF. Part number XPT IGBT Module CS 2x 12 I C25 1.8 C(sa) Phase leg + free wheeling Diodes + NTC Par number Backside: isolaed 5 2 1 8 7 9 3 4 /11 Feaures / dvanages: pplicaions: Package: SimBus F High level of inegraion

More information

Introduction to Digital Circuits

Introduction to Digital Circuits The NMOS nerer The NMOS Depleion oad 50 [ D ] µ A GS.0 + 40 30 0 0 Resisance characerisic of Q 3 4 5 6 GS 0.5 GS 0 GS 0.5 GS.0 GS.5 [ ] DS GS i 0 Q Q Depleion load Enhancemen drier Drain characerisic of

More information

Module 10 SCR. 2. To understand two Transistor Static and Transient Models. 3. To learn the SCR Turn-on and Turn-off methods

Module 10 SCR. 2. To understand two Transistor Static and Transient Models. 3. To learn the SCR Turn-on and Turn-off methods 1 Module 1 SR 1. Inroducion 2. SR characerisics 3. Two ransisor saic and ransien models 4. SR urnon mehods 5. SR urnoff mehods 6. SR proecion and Triggering circuis 7. ae proecion circuis 8. Summary Learning

More information

Math 6710, Fall 2016 Final Exam Solutions

Math 6710, Fall 2016 Final Exam Solutions Mah 67, Fall 6 Fial Exam Soluios. Firs, a sude poied ou a suble hig: if P (X i p >, he X + + X (X + + X / ( evaluaes o / wih probabiliy p >. This is roublesome because a radom variable is supposed o be

More information

12 Getting Started With Fourier Analysis

12 Getting Started With Fourier Analysis Commuicaios Egieerig MSc - Prelimiary Readig Geig Sared Wih Fourier Aalysis Fourier aalysis is cocered wih he represeaio of sigals i erms of he sums of sie, cosie or complex oscillaio waveforms. We ll

More information

Department of Mathematical and Statistical Sciences University of Alberta

Department of Mathematical and Statistical Sciences University of Alberta MATH 4 (R) Wier 008 Iermediae Calculus I Soluios o Problem Se # Due: Friday Jauary 8, 008 Deparme of Mahemaical ad Saisical Scieces Uiversiy of Albera Quesio. [Sec.., #] Fid a formula for he geeral erm

More information

Solutions Manual 4.1. nonlinear. 4.2 The Fourier Series is: and the fundamental frequency is ω 2π

Solutions Manual 4.1. nonlinear. 4.2 The Fourier Series is: and the fundamental frequency is ω 2π Soluios Maual. (a) (b) (c) (d) (e) (f) (g) liear oliear liear liear oliear oliear liear. The Fourier Series is: F () 5si( ) ad he fudameal frequecy is ω f ----- H z.3 Sice V rms V ad f 6Hz, he Fourier

More information

Chapter 2: Time-Domain Representations of Linear Time-Invariant Systems. Chih-Wei Liu

Chapter 2: Time-Domain Representations of Linear Time-Invariant Systems. Chih-Wei Liu Caper : Time-Domai Represeaios of Liear Time-Ivaria Sysems Ci-Wei Liu Oulie Iroucio Te Covoluio Sum Covoluio Sum Evaluaio Proceure Te Covoluio Iegral Covoluio Iegral Evaluaio Proceure Iercoecios of LTI

More information

Comparison between Fourier and Corrected Fourier Series Methods

Comparison between Fourier and Corrected Fourier Series Methods Malaysia Joural of Mahemaical Scieces 7(): 73-8 (13) MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES Joural homepage: hp://eispem.upm.edu.my/oural Compariso bewee Fourier ad Correced Fourier Series Mehods 1

More information

Calculus BC 2015 Scoring Guidelines

Calculus BC 2015 Scoring Guidelines AP Calculus BC 5 Scorig Guidelies 5 The College Board. College Board, Advaced Placeme Program, AP, AP Ceral, ad he acor logo are regisered rademarks of he College Board. AP Ceral is he official olie home

More information

Prakash Chandra Rautaray 1, Ellipse 2

Prakash Chandra Rautaray 1, Ellipse 2 Prakash Chadra Rauara, Ellise / Ieraioal Joural of Egieerig Research ad Alicaios (IJERA) ISSN: 48-96 www.ijera.com Vol. 3, Issue, Jauar -Februar 3,.36-337 Degree Of Aroimaio Of Fucios B Modified Parial

More information

RCT Worksheets/Quizzes 1.06 Radioactivity and Radioactive Decay

RCT Worksheets/Quizzes 1.06 Radioactivity and Radioactive Decay RCT Workshees/Quizzes.06 Radioaciviy ad Radioacive Decay.06 WORKSHEET #. worker accideally igesed oe millicurie of I3. I3 has a half-life of 8 days. How may disiegraios per secod of I3 are i he workers

More information

Stationarity and Error Correction

Stationarity and Error Correction Saioariy ad Error Correcio. Saioariy a. If a ie series of a rado variable Y has a fiie σ Y ad σ Y,Y-s or deeds oly o he lag legh s (s > ), bu o o, he series is saioary, or iegraed of order - I(). The rocess

More information

F.Y. Diploma : Sem. II [AE/CH/FG/ME/PT/PG] Applied Mathematics

F.Y. Diploma : Sem. II [AE/CH/FG/ME/PT/PG] Applied Mathematics F.Y. Diploma : Sem. II [AE/CH/FG/ME/PT/PG] Applied Mahemaics Prelim Quesio Paper Soluio Q. Aemp ay FIVE of he followig : [0] Q.(a) Defie Eve ad odd fucios. [] As.: A fucio f() is said o be eve fucio if

More information

Clock Skew and Signal Representation. Program. Timing Engineering

Clock Skew and Signal Representation. Program. Timing Engineering lock Skew ad Sigal epreseaio h. 7 IBM Power 4 hip Iroducio ad moivaio Sequeial circuis, clock imig, Basic ools for frequecy domai aalysis Fourier series sigal represeaio Periodic sigals ca be represeed

More information

Lecture -14: Chopper fed DC Drives

Lecture -14: Chopper fed DC Drives Lecure -14: Chopper fed DC Drives Chopper fed DC drives o A chopper is a saic device ha convers fixed DC inpu volage o a variable dc oupu volage direcly o A chopper is a high speed on/off semiconducor

More information

Samuel Sindayigaya 1, Nyongesa L. Kennedy 2, Adu A.M. Wasike 3

Samuel Sindayigaya 1, Nyongesa L. Kennedy 2, Adu A.M. Wasike 3 Ieraioal Joural of Saisics ad Aalysis. ISSN 48-9959 Volume 6, Number (6, pp. -8 Research Idia Publicaios hp://www.ripublicaio.com The Populaio Mea ad is Variace i he Presece of Geocide for a Simple Birh-Deah-

More information

Energy Density / Energy Flux / Total Energy in 1D. Key Mathematics: density, flux, and the continuity equation.

Energy Density / Energy Flux / Total Energy in 1D. Key Mathematics: density, flux, and the continuity equation. ecure Phys 375 Eergy Desiy / Eergy Flu / oal Eergy i D Overview ad Moivaio: Fro your sudy of waves i iroducory physics you should be aware ha waves ca raspor eergy fro oe place o aoher cosider he geeraio

More information

Quiz #3 Practice Problem Set

Quiz #3 Practice Problem Set Name: Studet Number: ELEC 3908 Physical Electroics Quiz #3 Practice Problem Set? Miutes March 11, 2016 - No aids excet a o-rogrammable calculator - ll questios must be aswered - ll questios have equal

More information

1 Notes on Little s Law (l = λw)

1 Notes on Little s Law (l = λw) Copyrigh c 26 by Karl Sigma Noes o Lile s Law (l λw) We cosider here a famous ad very useful law i queueig heory called Lile s Law, also kow as l λw, which assers ha he ime average umber of cusomers i

More information

Review Exercises for Chapter 9

Review Exercises for Chapter 9 0_090R.qd //0 : PM Page 88 88 CHAPTER 9 Ifiie Series I Eercises ad, wrie a epressio for he h erm of he sequece..,., 5, 0,,,, 0,... 7,... I Eercises, mach he sequece wih is graph. [The graphs are labeled

More information

Big O Notation for Time Complexity of Algorithms

Big O Notation for Time Complexity of Algorithms BRONX COMMUNITY COLLEGE of he Ciy Uiversiy of New York DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE CSI 33 Secio E01 Hadou 1 Fall 2014 Sepember 3, 2014 Big O Noaio for Time Complexiy of Algorihms Time

More information

ODEs II, Supplement to Lectures 6 & 7: The Jordan Normal Form: Solving Autonomous, Homogeneous Linear Systems. April 2, 2003

ODEs II, Supplement to Lectures 6 & 7: The Jordan Normal Form: Solving Autonomous, Homogeneous Linear Systems. April 2, 2003 ODEs II, Suppleme o Lecures 6 & 7: The Jorda Normal Form: Solvig Auoomous, Homogeeous Liear Sysems April 2, 23 I his oe, we describe he Jorda ormal form of a marix ad use i o solve a geeral homogeeous

More information

Features / Advantages: Applications: Package: Y4

Features / Advantages: Applications: Package: Y4 IGBT (NPT) Module CES = x 1 I C = 9 =. CE(sa) Phase leg Par number MII7-13 1 Backside: isolaed 7 3 Feaures / dvanages: pplicaions: Package: Y NPT IGBT echnology low sauraion volage low swiching losses

More information

10.3 Autocorrelation Function of Ergodic RP 10.4 Power Spectral Density of Ergodic RP 10.5 Normal RP (Gaussian RP)

10.3 Autocorrelation Function of Ergodic RP 10.4 Power Spectral Density of Ergodic RP 10.5 Normal RP (Gaussian RP) ENGG450 Probabiliy ad Saisics for Egieers Iroducio 3 Probabiliy 4 Probabiliy disribuios 5 Probabiliy Desiies Orgaizaio ad descripio of daa 6 Samplig disribuios 7 Ifereces cocerig a mea 8 Comparig wo reames

More information

V AK (t) I T (t) I TRM. V AK( full area) (t) t t 1 Axial turn-on. Switching losses for Phase Control and Bi- Directionally Controlled Thyristors

V AK (t) I T (t) I TRM. V AK( full area) (t) t t 1 Axial turn-on. Switching losses for Phase Control and Bi- Directionally Controlled Thyristors Applicaion Noe Swiching losses for Phase Conrol and Bi- Direcionally Conrolled Thyrisors V AK () I T () Causing W on I TRM V AK( full area) () 1 Axial urn-on Plasma spread 2 Swiching losses for Phase Conrol

More information

ME 3210 Mechatronics II Laboratory Lab 6: Second-Order Dynamic Response

ME 3210 Mechatronics II Laboratory Lab 6: Second-Order Dynamic Response Iroucio ME 30 Mecharoics II Laboraory Lab 6: Seco-Orer Dyamic Respose Seco orer iffereial equaios approimae he yamic respose of may sysems. I his lab you will moel a alumium bar as a seco orer Mass-Sprig-Damper

More information

Actuarial Society of India

Actuarial Society of India Acuarial Sociey of Idia EXAMINAIONS Jue 5 C4 (3) Models oal Marks - 5 Idicaive Soluio Q. (i) a) Le U deoe he process described by 3 ad V deoe he process described by 4. he 5 e 5 PU [ ] PV [ ] ( e ).538!

More information

OLS bias for econometric models with errors-in-variables. The Lucas-critique Supplementary note to Lecture 17

OLS bias for econometric models with errors-in-variables. The Lucas-critique Supplementary note to Lecture 17 OLS bias for ecoomeric models wih errors-i-variables. The Lucas-criique Supplemeary oe o Lecure 7 RNy May 6, 03 Properies of OLS i RE models I Lecure 7 we discussed he followig example of a raioal expecaios

More information

ECE 570 Session 7 IC 752-E Computer Aided Engineering for Integrated Circuits. Transient analysis. Discuss time marching methods used in SPICE

ECE 570 Session 7 IC 752-E Computer Aided Engineering for Integrated Circuits. Transient analysis. Discuss time marching methods used in SPICE ECE 570 Sessio 7 IC 75-E Compuer Aided Egieerig for Iegraed Circuis Trasie aalysis Discuss ime marcig meods used i SPICE. Time marcig meods. Explici ad implici iegraio meods 3. Implici meods used i circui

More information

Chemistry 1B, Fall 2016 Topics 21-22

Chemistry 1B, Fall 2016 Topics 21-22 Cheisry B, Fall 6 Topics - STRUCTURE ad DYNAMICS Cheisry B Fall 6 Cheisry B so far: STRUCTURE of aos ad olecules Topics - Cheical Kieics Cheisry B ow: DYNAMICS cheical kieics herodyaics (che C, 6B) ad

More information

Effect of Heat Exchangers Connection on Effectiveness

Effect of Heat Exchangers Connection on Effectiveness Joural of Roboics ad Mechaical Egieerig Research Effec of Hea Exchagers oecio o Effeciveess Voio W Koiaho Maru J Lampie ad M El Haj Assad * Aalo Uiversiy School of Sciece ad echology P O Box 00 FIN-00076

More information

Diode in electronic circuits. (+) (-) i D

Diode in electronic circuits. (+) (-) i D iode i electroic circuits Symbolic reresetatio of a iode i circuits ode Cathode () (-) i ideal diode coducts the curret oly i oe directio rrow shows directio of the curret i circuit Positive olarity of

More information

Math 2414 Homework Set 7 Solutions 10 Points

Math 2414 Homework Set 7 Solutions 10 Points Mah Homework Se 7 Soluios 0 Pois #. ( ps) Firs verify ha we ca use he iegral es. The erms are clearly posiive (he epoeial is always posiive ad + is posiive if >, which i is i his case). For decreasig we

More information

MODERN CONTROL SYSTEMS

MODERN CONTROL SYSTEMS MODERN CONTROL SYSTEMS Lecure 9, Sae Space Repreeaio Emam Fahy Deparme of Elecrical ad Corol Egieerig email: emfmz@aa.edu hp://www.aa.edu/cv.php?dip_ui=346&er=6855 Trafer Fucio Limiaio TF = O/P I/P ZIC

More information

Comparisons Between RV, ARV and WRV

Comparisons Between RV, ARV and WRV Comparisos Bewee RV, ARV ad WRV Cao Gag,Guo Migyua School of Maageme ad Ecoomics, Tiaji Uiversiy, Tiaji,30007 Absrac: Realized Volailiy (RV) have bee widely used sice i was pu forward by Aderso ad Bollerslev

More information

Manipulations involving the signal amplitude (dependent variable).

Manipulations involving the signal amplitude (dependent variable). Oulie Maipulaio of discree ime sigals: Maipulaios ivolvig he idepede variable : Shifed i ime Operaios. Foldig, reflecio or ime reversal. Time Scalig. Maipulaios ivolvig he sigal ampliude (depede variable).

More information

Adaptive sampling based on the motion

Adaptive sampling based on the motion Adaive samlig based o he moio Soglao, Whoi-Yul Kim School of Elecrical ad Comuer Egieerig Hayag Uiversiy Seoul, Korea 33 79 Email: sliao@visio.hayag.ac.kr wykim@hayag.ac.kr Absrac Moio based adaive samlig

More information

Features / Advantages: Applications: Package: Y4

Features / Advantages: Applications: Package: Y4 IGBT (NPT) Module CES = 12 I C2 = 16 = 2.2 CE(sa) Boos Chopper + free wheeling Diode Par number MID14-123 Backside: isolaed 1 3 4 2 Feaures / dvanages: pplicaions: Package: Y4 NPT IGBT echnology low sauraion

More information

SUMMATION OF INFINITE SERIES REVISITED

SUMMATION OF INFINITE SERIES REVISITED SUMMATION OF INFINITE SERIES REVISITED I several aricles over he las decade o his web page we have show how o sum cerai iiie series icludig he geomeric series. We wa here o eed his discussio o he geeral

More information

Direct Current Circuits. February 19, 2014 Physics for Scientists & Engineers 2, Chapter 26 1

Direct Current Circuits. February 19, 2014 Physics for Scientists & Engineers 2, Chapter 26 1 Direc Curren Circuis February 19, 2014 Physics for Scieniss & Engineers 2, Chaper 26 1 Ammeers and Volmeers! A device used o measure curren is called an ammeer! A device used o measure poenial difference

More information

1.225J J (ESD 205) Transportation Flow Systems

1.225J J (ESD 205) Transportation Flow Systems .5J J ESD 5 Trasporaio Flow Sysems Lecre 3 Modelig Road Traffic Flow o a Li Prof. Ismail Chabii ad Prof. Amedeo Odoi Lecre 3 Olie Time-Space Diagrams ad Traffic Flow Variables Irodcio o Li Performace Models

More information

K3 p K2 p Kp 0 p 2 p 3 p

K3 p K2 p Kp 0 p 2 p 3 p Mah 80-00 Mo Ar 0 Chaer 9 Fourier Series ad alicaios o differeial equaios (ad arial differeial equaios) 9.-9. Fourier series defiiio ad covergece. The idea of Fourier series is relaed o he liear algebra

More information

An interesting result about subset sums. Nitu Kitchloo. Lior Pachter. November 27, Abstract

An interesting result about subset sums. Nitu Kitchloo. Lior Pachter. November 27, Abstract A ieresig resul abou subse sums Niu Kichloo Lior Pacher November 27, 1993 Absrac We cosider he problem of deermiig he umber of subses B f1; 2; : : :; g such ha P b2b b k mod, where k is a residue class

More information

S n. = n. Sum of first n terms of an A. P is

S n. = n. Sum of first n terms of an A. P is PROGREION I his secio we discuss hree impora series amely ) Arihmeic Progressio (A.P), ) Geomeric Progressio (G.P), ad 3) Harmoic Progressio (H.P) Which are very widely used i biological scieces ad humaiies.

More information

Radiation Experiments and New Materials. T. Paulmier, B. Dirassen, R. Rey

Radiation Experiments and New Materials. T. Paulmier, B. Dirassen, R. Rey Radiaio Exerimes ad New Maerials T. Paulmier, B. Dirasse, R. Rey The research leadig o hese resuls fuded i ar by he Euroea Uio Seveh Framework Programme (FP7) uder gra agreeme No 6676 SPACESTORM Close

More information

Physical Limitations of Logic Gates Week 10a

Physical Limitations of Logic Gates Week 10a Physical Limiaions of Logic Gaes Week 10a In a compuer we ll have circuis of logic gaes o perform specific funcions Compuer Daapah: Boolean algebraic funcions using binary variables Symbolic represenaion

More information

Theoretical Physics Prof. Ruiz, UNC Asheville, doctorphys on YouTube Chapter R Notes. Convolution

Theoretical Physics Prof. Ruiz, UNC Asheville, doctorphys on YouTube Chapter R Notes. Convolution Theoreical Physics Prof Ruiz, UNC Asheville, docorphys o YouTube Chaper R Noes Covoluio R1 Review of he RC Circui The covoluio is a "difficul" cocep o grasp So we will begi his chaper wih a review of he

More information

CoolMOS 1) Power MOSFET with Series Schottky Diode and Ultra Fast Antiparallel Diode

CoolMOS 1) Power MOSFET with Series Schottky Diode and Ultra Fast Antiparallel Diode IXKF 4N6SCD1 CoolMOS 1) Power MOSFET wih Series Schoky Diode and Ulra Fas niparallel Diode in High olage ISOPLUS i4-pc S = 6 2 = 41 yp. = 6 mω rr = 7 ISOPLUS i4-pc Preliminary daa 1 D S T D F 1 2 E72873

More information

Overview of Silicon p-n Junctions

Overview of Silicon p-n Junctions Overview of Silico - Juctios r. avid W. Graham West irgiia Uiversity Lae eartmet of omuter Sciece ad Electrical Egieerig 9 avid W. Graham 1 - Juctios (iodes) - Juctios (iodes) Fudametal semicoductor device

More information

V L. DT s D T s t. Figure 1: Buck-boost converter: inductor current i(t) in the continuous conduction mode.

V L. DT s D T s t. Figure 1: Buck-boost converter: inductor current i(t) in the continuous conduction mode. ECE 445 Analysis and Design of Power Elecronic Circuis Problem Se 7 Soluions Problem PS7.1 Erickson, Problem 5.1 Soluion (a) Firs, recall he operaion of he buck-boos converer in he coninuous conducion

More information

p h a s e - o u t Three Phase Rectifier Bridge with IGBT and Fast Recovery Diode for Braking System VVZB 135 = 1600 V = 135 A Recommended replacement:

p h a s e - o u t Three Phase Rectifier Bridge with IGBT and Fast Recovery Diode for Braking System VVZB 135 = 1600 V = 135 A Recommended replacement: VVZB 5 Three Phase Recifier Bridge wih IGBT and Fas Recovery Diode for Braking Sysem V RRM I dvm = 6 V = 5 V RRM Type + 6 5 4 NTC 9 + V 6 VVZB 5-6 NO 6+7 4+5 + Symbol Condiions Maximum Raings V RRM 6 V

More information

A Note on Random k-sat for Moderately Growing k

A Note on Random k-sat for Moderately Growing k A Noe o Radom k-sat for Moderaely Growig k Ju Liu LMIB ad School of Mahemaics ad Sysems Sciece, Beihag Uiversiy, Beijig, 100191, P.R. Chia juliu@smss.buaa.edu.c Zogsheg Gao LMIB ad School of Mahemaics

More information