MATHEMATICAL MODEL OF THYRISTOR INVERTER INCLUDING A SERIES-PARALLEL RESONANT CIRCUIT
|
|
|
- Sylvia Quinn
- 5 years ago
- Views:
Transcription
1 78 Avance n Elecrcal an Elecronc Engneerng MATHEMATIA MODE OF THYRISTOR INVERTER INUDING A SERIESPARAE RESONANT IRUIT M. uf, E. Szycha Faculy of Tranpor, Techncal Unvery of Raom, Polan ul. Malczewkego 9, 66 Raom, el.: , mal: m.luf@pr.raom.pl, e.zycha@pr.raom.pl Summary The arcle preen a mahemacal moel of hyror nverer nclung a ereparallel reonan crcu wh he a of ae varable meho. Maple proceure are ue o compue curren an volage waveform n he nverer.. INTRODUTION Reonan hyror nverer are apple n nucon heang, welng, elecrc heang, an oher area where heang procee are ule whch occur effecvely n broa frequency range. Degn of he nverer nclue a reonan crcu ha overloa a he nverer wchng frequency [, ]. Volage a loa of reonan nverer nuoal n naure where he nverer operang frequency range from everal hunre o a ozen houan Herz. Th arcle wll preen a mahemacal moel of he nverer reonan crcu wh he a of operaor ae varable meho by mean of Maple ofware proceure.. DESIGN OF THE INVERTER The man crcu of he nverer how n Fgure [, ]. Inucance an reance R repreen loa of he nverer. apacance a parallel capacor o compenae reacve power. apacance conue a ere capacor ha parcpae n ocllaon of upply curren. The preence of affec he curren naure of ource upplyng nonconnuou curren. The choke alo help o rerc / of upply curren conuce by hyror an o reuce ynamc loe acro hyror.. MATHEMATIA ANAYSIS OF THE INVERTER'S OPERATION Mahemacal analy of elecromagnec phenomena n he nverer nvolve magnue whch are funcon of me : curren (, ( an volage u u (, u u ( (Fg.. Parameer of elemen ue n he converer' analy conform wh parameer of mulaon moel elemen a ae n Table. Table. Parameer of he nverer elemen Parameer R E Un [mh] [] [µf] [V] Parameer S f Un [µf] [mh] [Hz] 5.9 Four me nerval are nguhe n he nverer operaon cycle []. The mahemacal analy of curren an volage of he nverer reonan crcu preene on he ba of he operaor meho [5]. The meho mple ha en conon of each nerval become nal conon of he ubequen nerval. Mahemacal ecrpon of he nverer operaon n each of he nerval uner analy compre yem of lnear egree fferenal equaon nclung he four magnue pecfe before, egnae a ae varable x ( a. Fg.. The man crcu of he reonan nverer The auhor aume ha he nverer operae n he range of naural commuaon []. Thyror T, T an T, T are alernaely wche on a frequency f n me nerval T/. The conucance angle of a hyror par λ (λ < π. (Fg.. ( x (, ( x (, u ( x (, u ( x (, ( The yem of four fferenal equaon ha ecrbe operaon of he nverer n he k h me nerval can be preene a a marx: Xk Ak Xk B U ( where:
2 Mahemacal moel of hyror nverer nclung a ere 79 xk( xk( Xk( xk ( xk( ( k ( k ( k u ( ( k u ( ae vecor of he yem n k h me nerval (k,,, where: xk ( ae varable n he yem, Ak yem marx for k h me nerval, B conrol marx, U( ( npu funcon. Afer aplace ranformaon of (, he ranform Xk Xk( of he ( reul: [ ] X k k Xk( B ( marx nvere o k, Xk( nal conon vecor for k h me nerval (value of varable xk ( a he ar of k h nerval. Deermnan of k a characerc polynomal Mk ek of he ranform (. Roo of Mk have eenal mpac on he crcu ynamc. The oluon of ( he ae vecor Xk [ Xk( ] he orgnal ranform (. Table ummare facor n he fferenal equaon ha ecrbe he nverer ynamc n four conecuve me nerval. They epen on parameer of he crcu uner analy, preene n Table. where: k [ I Ak] Table. Facor n he fferenal equaon ha ecrbe he nverer operaon n four me nerval R a g E b R h c k In he analy of he nverer operaon, value of componen of he nal conon vecor X ( for he fr me nerval are eermne on he ba of waveform obane n mulaon eng of he nverer wh he a of Smplorer ofware []. Fnal conon of each nerval become nal conon of he ubequen nerval. Fg.. urren an volage waveform n he nverer obane from mulaon; operang frequency fhz, oupu power PkW ( k (k ( k (k ( k Value of { A, B,, D, E } n he ae varable expreon xk ( of he ae vecor X k( for k h me nerval were eermne wh he help of Maple ofware. Inerval In he fr me nerval:, (Fg. T an T conuc. The reonan crcu for he fr nerval hown n fgure. Fg.. Reonan crcu n he fr me nerval, The crcu n Fgure ecrbe n he fferenal equaon ( a k,
3 8 Avance n Elecrcal an Elecronc Engneerng where: x ( a b x X, c c A, g B x ( h h x k (5 Tranform of he oluon o X( become ( for k. In he even, he characerc polynomal M ( become: a ( hc kc hb ac( h k hkbc M (6 Takng no accoun value of {a, b, c, h, k} n Table, M ( (6 become: ( m n ( p ( M q (7 where: m 66. 6, n , p 8., q 8.5. Value of ( roo were calculae ung relevan proceure of Maple. The vecor of nal conon X ( a k : x ( 88 x ( X ( (8 x ( 67 x ( Takng no accoun he nal conon (8, he ranform of X ( n he fr me nerval : x x X x ( (9 ( M x where: 88 67b 88 hc kc bhc bhg 67bkc hbg hcb ( ( 587c g ( 88hc 587ca ag 67 ( 88h 67a ( hg 67kc hc 88 ahg 67akc hca a khc ( kg hc hb 67kc ( 88khc kag 67kca ahc khbg.. The nal me, uraon of p he fr me nerval k.6 x ( are aume. Waveform of x n he fr me nerval, are preene n Fgure, 5, 6, 7. x e ( ( m ( ( e ( A co( n B n( n ( p ( ( co ( q ( D n ( q ( Fg.. Inerval he waveform of varable x curren ( a, x e x ( ( m ( ( e ( A co( n B n( n ( p ( ( co ( q ( D n ( q e ( Fg. 5. Inerval he waveform of varable x ( curren a, ( ( m ( ( u e ( A co( n B n( n ( p ( ( co ( q ( D n ( q ( By eermnng orgnal of x n he vecor (9, yem ae varable x x ( are expree for he me nerval,, (.67,
4 Mahemacal moel of hyror nverer nclung a ere 8 Fg.8. Reonan crcu n he econ me nerval, The crcu n Fg.8 ecrbe n he yem of fferenal equaon ( a k, where: x Fg. 6. Inerval he waveform of varable x ( volage u a, ( ( m ( ( u e ( A co( n B n( n ( p ( ( ( ( co( q D n( q E e Fg. 7. Inerval he waveform of varable x ( volage u a, ( En value x (.6 k of X( varable for he fr nerval become nal value of hee varable n he econ me nerval: Inerval x ( 595 k (.5 X ( x k X ( ( k x ( 755 k x ( 89 k The econ me nerval, (Fg. ar when T, T are off an connue unl T, T are on. The reonan crcu wche off he upply volage llurae n Fgure 8. In he econ me nerval, upply curren ( (Fg.. x a b x X, A, B x h x (5 Tranform of he oluon o (6 ha he form of ( a k. M : haracerc polynomal ( ( a hb M (6 Takng no accoun roo of (6, he characerc M can be preene: polynomal ( ( g M ( r (7 where: g , r Takng no accoun he value of nal conon vecor ( for k, ranform of X( n he econ me nerval reul: b ( g r x,5 x X x ( h 755a x ( g r 89 By eermnng he orgnal of ranform x x ( of (8, he yem [ ] ae varable x x ( are expree for he me nerval, (.,.559. The waveform of varable, x x n he econ me nerval are preene n Fgure 9,,,. ( ( g ( ( e ( A co( r B n( x r (9
5 8 Avance n Elecrcal an Elecronc Engneerng Fg. 9. Inerval he waveform of varable x ( curren a, ( x.5 ( Fg.. Inerval he waveform of varable x ( volage u a, ke n he prevou me nerval, he en value x (.8 k of X( varable for he econ nerval become he nal value of he ame varable n he hr me nerval. In he hr me nerval, (Fg., T an T are on. The reonan crcu for he hr nerval hown n Fgure. In h cae, me waveform are preene lke n he fr nerval, wh he nal conon of he hr nerval aume en value of varable n he econ operang nerval of he nverer. Fg.. Inerval he waveform of varable x ( curren a, ( ( g ( ( u e ( A co( r B n( x r ( Fg.. Reonan crcu n he hr me nerval of he nverer The fourh operang nerval, (Fg. begn when T, T are off an connue unl T, T are on. The reonan crcu, wche off he upply volage, funcon lke n he econ nerval an llurae n Fgure 8. Fg.. Inerval he waveform of varable x ( volage u a, ( x u 89 (. ONUSION The arcle ha preene a mahemacal moel of elecromagnec phenomena ha occur urng able operaon of hyror nverer nclung a ereparallel reonan crcu. Phenomena of curren commuaon among he crcu elemen are exclue from h analycal meho. alculaon reul have he form of curren an volage waveform n he crcu whch are connuou a bounare of me nerval n he nverer operaon cycle. Analycal reul how conformy wh reul of he yem mulaon eng. The preene mahemacal epenence enable o analye he yem envy o varaon of parameer. However, hey are hghly complex.
6 Mahemacal moel of hyror nverer nclung a ere 8 REFERENES [] KÁOR G., ŠPÁNIK P., DUDRÍK J., UFT M., SZYHTA E.: Prncple of operaon of hreelevel phae hf conrolle converer, KTU Journal of Elecronc an Elecrcal Engneerng, T7 Elecronc, 8. Nr (8, Kauna huana, pp. 697 (ISSN 95 [] KAZIMIERZUK M.K., ZARKOWSKI D.: Reonan Power onverer, A Wley Inerence Publcaon. John Wley an Son. Inc. New York, Torono, Sngapore 995 [] RODA M.R., REVANKAR G.N.: VolageFe Dconnuou urren Moe HghFrequency Inverer for Inucon Heang, IEEE Tranacon on Inural Elecronc an onrol Inrumenaon, vol. IEI5 978 [] SZYHTA E.: Thyror nverer wh ereparallel reonan crcu, Archve of Elecrcal Engneerng, VO.IV No., /5, pp. 5 [5] UFT,., SZYHTA, E.: ZVS D/D,,, 7, cc.786, 7,
Control Systems. Mathematical Modeling of Control Systems.
Conrol Syem Mahemacal Modelng of Conrol Syem chbum@eoulech.ac.kr Oulne Mahemacal model and model ype. Tranfer funcon model Syem pole and zero Chbum Lee -Seoulech Conrol Syem Mahemacal Model Model are key
ELEC 201 Electric Circuit Analysis I Lecture 9(a) RLC Circuits: Introduction
//6 All le courey of Dr. Gregory J. Mazzaro EE Elecrc rcu Analy I ecure 9(a) rcu: Inroucon THE ITADE, THE MIITAY OEGE OF SOUTH AOINA 7 Moulre Sree, harleon, S 949 V Sere rcu: Analog Dcoery _ 5 Ω pf eq
Methods of Study of Power Converters
N N Mehod of udy of Power onerer for a yemac analy by arlo. Marn N - / wh he uppor of - ouloue, rance -8 May 4 N cceleraor chool - Warrngon, UK N opc of he preenaon Par Par he phae plane repreenaon ere-parallel
SSRG International Journal of Thermal Engineering (SSRG-IJTE) Volume 4 Issue 1 January to April 2018
SSRG Inernaonal Journal of Thermal Engneerng (SSRG-IJTE) Volume 4 Iue 1 January o Aprl 18 Opmal Conrol for a Drbued Parameer Syem wh Tme-Delay, Non-Lnear Ung he Numercal Mehod. Applcaon o One- Sded Hea
Graphene nanoplatelets induced heterogeneous bimodal structural magnesium matrix composites with enhanced mechanical properties
raphene nanoplaele nce heerogeneo bmoal rcral magnem marx compoe wh enhance mechancal propere Shln Xang a, b, Xaojn Wang a, *, anoj pa b, Kn W a, Xaoh H a, ngy Zheng a a School of aeral Scence an ngneerng,
Chapter 6: AC Circuits
Chaper 6: AC Crcus Chaper 6: Oulne Phasors and he AC Seady Sae AC Crcus A sable, lnear crcu operang n he seady sae wh snusodal excaon (.e., snusodal seady sae. Complee response forced response naural response.
(,,, ) (,,, ). In addition, there are three other consumers, -2, -1, and 0. Consumer -2 has the utility function
MACROECONOMIC THEORY T J KEHOE ECON 87 SPRING 5 PROBLEM SET # Conder an overlappng generaon economy le ha n queon 5 on problem e n whch conumer lve for perod The uly funcon of he conumer born n perod,
Single Phase Line Frequency Uncontrolled Rectifiers
Single Phae Line Frequency Unconrolle Recifier Kevin Gaughan 24-Nov-03 Single Phae Unconrolle Recifier 1 Topic Baic operaion an Waveform (nucive Loa) Power Facor Calculaion Supply curren Harmonic an Th
Cooling of a hot metal forging. , dt dt
Tranen Conducon Uneady Analy - Lumped Thermal Capacy Model Performed when; Hea ranfer whn a yem produced a unform emperaure drbuon n he yem (mall emperaure graden). The emperaure change whn he yem condered
Comparative Analysis of Single and Three-phase Dual Active Bridge Bidirectional DC-DC Converter Based on the Phase-Shifting Control
Inernaonal Conference on Energy, ower and Elecrcal Engneerng (EEE 16 Comparave Analy of Sngle and Three-phae Dual Acve Brdge Bdreconal DC-DC Converer Baed on he hae-shfng Conrol Gangu Yan, Yongln * and
STUDY PROGRAM: UNIT 1 AND UNIT
IUIT ANAYSIS I MODUE ODE: EIAM4 STUDY POGAM: UNIT AND UNIT UT aal Unery of Technology EIAM4 haper : Fr Order rcu Page -. FIST ODE IUITS. Summary of Bac rcu oncep and onenon eor, capacor and nducor olage
Laplace Transformation of Linear Time-Varying Systems
Laplace Tranformaon of Lnear Tme-Varyng Syem Shervn Erfan Reearch Cenre for Inegraed Mcroelecronc Elecrcal and Compuer Engneerng Deparmen Unvery of Wndor Wndor, Onaro N9B 3P4, Canada Aug. 4, 9 Oulne of
s-domain Circuit Analysis
Domain ircui Analyi Operae direcly in he domain wih capacior, inducor and reior Key feaure lineariy i preerved c decribed by ODE and heir I Order equal number of plu number of Elemenbyelemen and ource
2/20/2013. EE 101 Midterm 2 Review
//3 EE Mderm eew //3 Volage-mplfer Model The npu ressance s he equalen ressance see when lookng no he npu ermnals of he amplfer. o s he oupu ressance. I causes he oupu olage o decrease as he load ressance
A new topology for quasi-z-source inverter
pp.: A new opology or qua-z-ource nerer Negar Mrkazeman, Ebrahm Babae Elecrcal Engneerng Deparmen, Shabear Branch, Ilamc Azad Unery, Shabear, Iran, Emal:negarmrkazeman@auhab.ac.r Elecrcal and Compuer Engneerng,
10. A.C CIRCUITS. Theoretically current grows to maximum value after infinite time. But practically it grows to maximum after 5τ. Decay of current :
. A. IUITS Synopss : GOWTH OF UNT IN IUIT : d. When swch S s closed a =; = d. A me, curren = e 3. The consan / has dmensons of me and s called he nducve me consan ( τ ) of he crcu. 4. = τ; =.63, n one
Transient Response in Electric Circuits
Transen esponse n Elecrc rcus The elemen equaon for he branch of he fgure when he source s gven by a generc funcon of me, s v () r d r ds = r Mrs d d r (')d' () V The crcu s descrbed by he opology equaons
Fundamentals of PLLs (I)
Phae-Locked Loop Fundamenal of PLL (I) Chng-Yuan Yang Naonal Chung-Hng Unvery Deparmen of Elecrcal Engneerng Why phae-lock? - Jer Supreon - Frequency Synhe T T + 1 - Skew Reducon T + 2 T + 3 PLL fou =
Design of Controller for Robot Position Control
eign of Conroller for Robo oiion Conrol Two imporan goal of conrol: 1. Reference inpu racking: The oupu mu follow he reference inpu rajecory a quickly a poible. Se-poin racking: Tracking when he reference
Chapter 7 AC Power and Three-Phase Circuits
Chaper 7 AC ower and Three-hae Crcu Chaper 7: Oulne eance eacance eal power eacve power ower n AC Crcu ower and Energy Gven nananeou power p, he oal energy w ranferred o a load beween and : w p d The average
Energy Storage Devices
Energy Sorage Deces Objece of Lecure Descrbe he consrucon of a capacor and how charge s sored. Inroduce seeral ypes of capacors Dscuss he elecrcal properes of a capacor The relaonshp beween charge, olage,
u(t) Figure 1. Open loop control system
Open loop conrol v cloed loop feedbac conrol The nex wo figure preen he rucure of open loop and feedbac conrol yem Figure how an open loop conrol yem whoe funcion i o caue he oupu y o follow he reference
Multivariable Dynamic Model and Robust Control of a Voltage-Source Converter for Power System Applications
Mularable Dynamc Moel an Robu Conrol of a Volage-Source Conerer for Power Syem Applcaon Ahmareza Tabeh an Reza Iraan Affne Conroller Parameerzaon for Decenralze Conrol Oer Banach Space Mchael Rokowz an
13.1 Circuit Elements in the s Domain Circuit Analysis in the s Domain The Transfer Function and Natural Response 13.
Chaper 3 The Laplace Tranform in Circui Analyi 3. Circui Elemen in he Domain 3.-3 Circui Analyi in he Domain 3.4-5 The Tranfer Funcion and Naural Repone 3.6 The Tranfer Funcion and he Convoluion Inegral
CHAPTER 7: SECOND-ORDER CIRCUITS
EEE5: CI RCUI T THEORY CHAPTER 7: SECOND-ORDER CIRCUITS 7. Inroducion Thi chaper conider circui wih wo orage elemen. Known a econd-order circui becaue heir repone are decribed by differenial equaion ha
On One Analytic Method of. Constructing Program Controls
Appled Mahemacal Scences, Vol. 9, 05, no. 8, 409-407 HIKARI Ld, www.m-hkar.com hp://dx.do.org/0.988/ams.05.54349 On One Analyc Mehod of Consrucng Program Conrols A. N. Kvko, S. V. Chsyakov and Yu. E. Balyna
Optimal Filtering for Linear Discrete-Time Systems with Single Delayed Measurement
378 Hong-Guo Inernaonal Zhao, Journal Huan-Shu of Conrol, Zhang, Auomaon, Cheng-Hu an Zhang, Syem, an vol. Xn-Mn 6, no. Song 3, pp. 378-385, June 28 Opmal Flerng for Lnear Dcree-me Syem h Sngle Delaye
A Demand System for Input Factors when there are Technological Changes in Production
A Demand Syem for Inpu Facor when here are Technologcal Change n Producon Movaon Due o (e.g.) echnologcal change here mgh no be a aonary relaonhp for he co hare of each npu facor. When emang demand yem
John Geweke a and Gianni Amisano b a Departments of Economics and Statistics, University of Iowa, USA b European Central Bank, Frankfurt, Germany
Herarchcal Markov Normal Mxure models wh Applcaons o Fnancal Asse Reurns Appendx: Proofs of Theorems and Condonal Poseror Dsrbuons John Geweke a and Gann Amsano b a Deparmens of Economcs and Sascs, Unversy
AMPLITUDE CONTROL OF A SELF-VIBRATION MACHINE
ENOC 28, San Peersburg, Russa, June, 3 July, 4 28 AMPLITUDE CONTROL OF A SELF-VIBRATION MACHINE Yuusuke Uchyama Grauae School of Sysems an Informaon Engneerng Unversy of Tsukuba Japan uchyama@aosuna.esys.sukuba.ac.jp
6.8 Laplace Transform: General Formulas
48 HAP. 6 Laplace Tranform 6.8 Laplace Tranform: General Formula Formula Name, ommen Sec. F() l{ f ()} e f () d f () l {F()} Definiion of Tranform Invere Tranform 6. l{af () bg()} al{f ()} bl{g()} Lineariy
Lesson 2 Transmission Lines Fundamentals
Lesson Transmsson Lnes Funamenals 楊尚達 Shang-Da Yang Insue of Phooncs Technologes Deparmen of Elecrcal Engneerng Naonal Tsng Hua Unersy Tawan Sec. -1 Inroucon 1. Why o scuss TX lnes srbue crcus?. Crera
EE202 Circuit Theory II
EE202 Circui Theory II 2017-2018, Spring Dr. Yılmaz KALKAN I. Inroducion & eview of Fir Order Circui (Chaper 7 of Nilon - 3 Hr. Inroducion, C and L Circui, Naural and Sep epone of Serie and Parallel L/C
Revision: June 12, E Main Suite D Pullman, WA (509) Voice and Fax
.: apacors Reson: June, 5 E Man Sue D Pullman, WA 9963 59 334 636 Voce an Fax Oerew We begn our suy of energy sorage elemens wh a scusson of capacors. apacors, lke ressors, are passe wo-ermnal crcu elemens.
Sound decay in a rectangular room with specular and diffuse reflecting surfaces
Soun ecay n a recangular room wh pecular an ffue reflecng urface Nkolay Kanev Anreyev Acouc Inue, Mocow, Rua Summary Soun ecay n room uually efne by aborpon an caerng propere of urface In ome cae oun ecay
FX-IR Hybrids Modeling
FX-IR Hybr Moeln Yauum Oajma Mubh UFJ Secure Dervave Reearch Dep. Reearch & Developmen Dvon Senor Manaer oajma-yauum@c.mu.jp Oaka Unvery Workhop December 5 h preenaon repreen he vew o he auhor an oe no
Chapter 8: Response of Linear Systems to Random Inputs
Caper 8: epone of Linear yem o anom Inpu 8- Inroucion 8- nalyi in e ime Domain 8- Mean an Variance Value of yem Oupu 8-4 uocorrelaion Funcion of yem Oupu 8-5 Crocorrelaion beeen Inpu an Oupu 8-6 ample
The Signal, Variable System, and Transformation: A Personal Perspective
The Sgal Varable Syem ad Traformao: A Peroal Perpecve Sherv Erfa 35 Eex Hall Faculy of Egeerg Oule Of he Talk Iroduco Mahemacal Repreeao of yem Operaor Calculu Traformao Obervao O Laplace Traform SSB A
, the. L and the L. x x. max. i n. It is easy to show that these two norms satisfy the following relation: x x n x = (17.3) max
ecure 8 7. Sabiliy Analyi For an n dimenional vecor R n, he and he vecor norm are defined a: = T = i n i (7.) I i eay o how ha hee wo norm aify he following relaion: n (7.) If a vecor i ime-dependen, hen
A New Multidisciplinary Design Optimization Method Accounting for Discrete and Continuous Variables under Aleatory and Epistemic Uncertainties
Inernaonal Journal o Compuaonal Inellgence Syem Vol 5 o (February 0 93-0 A ew ulcplnary Degn Opmzaon eho Accounng or Dcree an Connuou Varable uner Aleaory an Epemc Uncerane Hong-Zhong Huang School o echaronc
Coupling series two five-phase asynchronous machine powered by a single voltage inverter
Leonaro Journal of Scences SS 83-33 ssue 7, July-December p 9- Couplng seres wo fve-phase asynchronous machne powere by a sngle volage nverer Samr ABBAR *, Karm FELLAH, Foua BEKHORS Elecrcal Engneerng
Diode rectifier with capacitive DC link
. Converers Dode recfer wh capacve DC lnk 4 e lne lne D D 3 C v v [] e e D D 4 4 5 5 Fgure.: A sngle-phase dode recfer wh a capacve DC lnk. [s] Fgure.: ne-o-neural volage and DC sde volage for a sngle-phase
Linear Response Theory: The connection between QFT and experiments
Phys540.nb 39 3 Lnear Response Theory: The connecon beween QFT and expermens 3.1. Basc conceps and deas Q: ow do we measure he conducvy of a meal? A: we frs nroduce a weak elecrc feld E, and hen measure
H = d d q 1 d d q N d d p 1 d d p N exp
8333: Sacal Mechanc I roblem Se # 7 Soluon Fall 3 Canoncal Enemble Non-harmonc Ga: The Hamlonan for a ga of N non neracng parcle n a d dmenonal box ha he form H A p a The paron funcon gven by ZN T d d
Chapter 9 - The Laplace Transform
Chaper 9 - The Laplace Tranform Selece Soluion. Skech he pole-zero plo an region of convergence (if i exi) for hee ignal. ω [] () 8 (a) x e u = 8 ROC σ ( ) 3 (b) x e co π u ω [] ( ) () (c) x e u e u ROC
Current Distribution Analysis for High Temperature Superconducting Cable Considering Hysteresis Characteristics
Curren Dsrbuon Analyss for Hgh Temperaure uperconucng Cable Conserng Hyseress Characerscs huhong WANG a, Je QIU a, Xnyng LIU a, Zhxuan WANG a, Janguo ZHU b, Youguang GUO b, Zh We LIN b, Y WANG b an We
Sampling Procedure of the Sum of two Binary Markov Process Realizations
Samplng Procedure of he Sum of wo Bnary Markov Process Realzaons YURY GORITSKIY Dep. of Mahemacal Modelng of Moscow Power Insue (Techncal Unversy), Moscow, RUSSIA, E-mal: gorsky@yandex.ru VLADIMIR KAZAKOV
Digital Variable Frequency Control for Zero Voltage Switching and Interleaving of Synchronous Buck Converters
Dgal Varable Frequency Conrol for Zero Volage Swchng and Inerleavng of Synchronous Buck Converers Pål Andreassen, Guseppe Gud, Tore M. Undeland Norwegan Unversy of Scence and Technology, Trondhem, Norway
The Stochastic Jacobian in Affine Term Structure Models and its applications
he Sochac Jacoban n Affne erm Srucure Moel an applcaon Marno Graell Unverà egl Su Verona,anESILV Clauo ebal Unverà egl Su Verona Sepember 13, 2004 Abrac In Affne erm Srucure Moel (ASM) he ochac Jacoban
Lecture 6: Learning for Control (Generalised Linear Regression)
Lecure 6: Learnng for Conrol (Generalsed Lnear Regresson) Conens: Lnear Mehods for Regresson Leas Squares, Gauss Markov heorem Recursve Leas Squares Lecure 6: RLSC - Prof. Sehu Vjayakumar Lnear Regresson
Power Electronics 7. Diode and Diode Circuits
Module 7 Dode and Dode Crcus. Inroducon 2. DC and swchng characerscs 3. Types of Power Dode 4. Dode Crcu 4.. Seres Conneced Dodes 4.2. Parallel Conneced Dodes 5. Dode behavor for dfferen loads 6. Freewheelng
Notes on the stability of dynamic systems and the use of Eigen Values.
Noes on he sabl of dnamc ssems and he use of Egen Values. Source: Macro II course noes, Dr. Davd Bessler s Tme Seres course noes, zarads (999) Ineremporal Macroeconomcs chaper 4 & Techncal ppend, and Hamlon
ANALYSIS AND MODELING OF HYDROLOGIC TIME SERIES. Wasserhaushalt Time Series Analysis and Stochastic Modelling Spring Semester
ANALYSIS AND MODELING OF HYDROLOGIC TIME SERIES Waerhauhal Tme Sere Analy and Sochac Modellng Sprng Semeer 8 ANALYSIS AND MODELING OF HYDROLOGIC TIME SERIES Defnon Wha a me ere? Leraure: Sala, J.D. 99,
Relative controllability of nonlinear systems with delays in control
Relave conrollably o nonlnear sysems wh delays n conrol Jerzy Klamka Insue o Conrol Engneerng, Slesan Techncal Unversy, 44- Glwce, Poland. phone/ax : 48 32 37227, {jklamka}@a.polsl.glwce.pl Keywor: Conrollably.
PRIMARY FREQUENCY CONTROL PARTICIPATION PROVIDED BY DOUBLY FED INDUCTION WIND GENERATORS
RIMARY FREQUENCY CONTROL ARTICIATION ROIDED BY DOUBLY FED INDUCTION WIND GENERATORS Rogéro G. de Almeda INESC ORTO oro, orugal ralmeda@necporo.p Abrac Th paper decrbe a conrol approach appled on doubly
On computing differential transform of nonlinear non-autonomous functions and its applications
On compung dfferenal ransform of nonlnear non-auonomous funcons and s applcaons Essam. R. El-Zahar, and Abdelhalm Ebad Deparmen of Mahemacs, Faculy of Scences and Humanes, Prnce Saam Bn Abdulazz Unversy,
A Renewable Hybrid Wind Solar Energy System Fed Single Phase Multilevel Inverter
SSN: 78-08 ol. ssue, January - 04 A Reneable Hybr Wn Solar Energy Sysem Fe Sngle Phase Mullevel nverer P. Ganesh, Davaasrvaam. M & B. Arunha gnan s nsue of nformaon Technology/EEE (P&D), sakhapanam, na
arxiv: v1 [math.st] 9 Mar 2017
![arxiv: v1 [math.st] 9 Mar 2017](/thumbs/96/128534867.jpg "arxiv: v1 [math.st] 9 Mar 2017")
Fraconal compound Poon procee wh mulple nernal ae Pengbo Xu and Wehua eng School of Mahemac and Sac, Ganu Key Laboraory of Appled Mahemac and Complex Syem, Lanzhou Unvery, Lanzhou 73, P.R. Chna aed: March,
CAPACITANCE AND INDUCTANCE
APAITANE AND INDUTANE Inroduces wo passve, energy sorng devces: apacors and Inducors LEARNING GOALS APAITORS Sore energy n her elecrc feld (elecrosac energy) Model as crcu elemen INDUTORS Sore energy n
Thruster Modulation for Unsymmetric Flexible Spacecraft with Consideration of Torque Arm Perturbation
hruer Modulaon for Unymmerc Flexble Sacecraf wh onderaon of orue rm Perurbaon a Shgemune anwak Shnchro chkawa a Yohak hkam b a Naonal Sace evelomen gency of Jaan 2-- Sengen ukuba-h barak b eo Unvery 3--
Lecture 11 Inductance and Capacitance
ecure Inducance and apacance EETRIA ENGINEERING: PRINIPES AND APPIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc. Goals. Fnd he curren olage for a capacance or nducance gen he olage curren
To become more mathematically correct, Circuit equations are Algebraic Differential equations. from KVL, KCL from the constitutive relationship
Laplace Tranform (Lin & DeCarlo: Ch 3) ENSC30 Elecric Circui II The Laplace ranform i an inegral ranformaion. I ranform: f ( ) F( ) ime variable complex variable From Euler > Lagrange > Laplace. Hence,
3.2 Models for technical systems
onrol Laboraory 3. Mahemacal Moelng 3. Moels for echncal sysems 3.. Elecrcal sysems Fg. 3. shows hree basc componens of elecrcal crcs. Varables = me, = volage [V], = crren [A] omponen parameers R = ressance
RAMIFICATIONS of POSITION SERVO LOOP COMPENSATION
RAMIFICATIONS f POSITION SERO LOOP COMPENSATION Gerge W. Yunk, P.E. Lfe Fellw IEEE Indural Cnrl Cnulg, Inc. Fnd du Lac, Wcn Fr many year dural pg er dre dd n ue er cmpena he frward p lp. Th wa referred
Delay-Range-Dependent Stability Analysis for Continuous Linear System with Interval Delay
Inernaonal Journal of Emergng Engneerng esearch an echnology Volume 3, Issue 8, Augus 05, PP 70-76 ISSN 349-4395 (Prn) & ISSN 349-4409 (Onlne) Delay-ange-Depenen Sably Analyss for Connuous Lnear Sysem
NON-HOMOGENEOUS SEMI-MARKOV REWARD PROCESS FOR THE MANAGEMENT OF HEALTH INSURANCE MODELS.
NON-HOOGENEOU EI-AKO EWA POCE FO THE ANAGEENT OF HEATH INUANCE OE. Jacque Janen CEIAF ld Paul Janon 84 e 9 6 Charlero EGIU Fax: 32735877 E-mal: ceaf@elgacom.ne and amondo anca Unverà a apenza parmeno d
Scattering at an Interface: Oblique Incidence
Course Insrucor Dr. Raymond C. Rumpf Offce: A 337 Phone: (915) 747 6958 E Mal: rcrumpf@uep.edu EE 4347 Appled Elecromagnecs Topc 3g Scaerng a an Inerface: Oblque Incdence Scaerng These Oblque noes may
Let. x y. denote a bivariate time series with zero mean.
Linear Filer Le x y : T denoe a bivariae ime erie wih zero mean. Suppoe ha he ime erie {y : T} i conruced a follow: y a x The ime erie {y : T} i aid o be conruced from {x : T} by mean of a Linear Filer.
Lecture 12: HEMT AC Properties
Lecure : HEMT A Proeres Quas-sac oeraon Transcaacances -araeers Non-quas ac effecs Parasc ressances / caacancs f f ax ean ue for aer 6: 7-86 95-407 {407-46 sk MEFET ars} 47-44. (.e. sk an MEFET ars brefl
Engineering Circuit Analysis 8th Edition Chapter Nine Exercise Solutions
Engnrng rcu naly 8h Eon hapr Nn Exrc Soluon. = KΩ, = µf, an uch ha h crcu rpon oramp. a For Sourc-fr paralll crcu: For oramp or b H 9V, V / hoo = H.7.8 ra / 5..7..9 9V 9..9..9 5.75,.5 5.75.5..9 . = nh,
Existence and Uniqueness Results for Random Impulsive Integro-Differential Equation
Global Journal of Pure and Appled Mahemacs. ISSN 973-768 Volume 4, Number 6 (8), pp. 89-87 Research Inda Publcaons hp://www.rpublcaon.com Exsence and Unqueness Resuls for Random Impulsve Inegro-Dfferenal
Density Matrix Description of NMR BCMB/CHEM 8190
Densy Marx Descrpon of NMR BCMBCHEM 89 Operaors n Marx Noaon Alernae approach o second order specra: ask abou x magnezaon nsead of energes and ranson probables. If we say wh one bass se, properes vary
Perishable Inventory Model with Time Dependent Demand and Partial Backlogging
Kapl Mehrora e al In. Journal of Engneerng Research an Applcaons ISSN : 48-96, Vol. 4, Issue 7( Verson 5, July 04, pp.40-48 RESEARCH ARICLE OPEN ACCESS Pershable Invenory Moel wh me Depenen Deman an Paral
A capacitor consists of two conducting plates, separated by an insulator. Conduction plates: e.g., Aluminum foil Insulator: air, mica, ceramic, etc
3//7 haper 6 apacors and Inducors Makng preparaon for dynamc crcus, whch hae far more applcaons han he sac crcus we hae learned so far. 6. apacors Sore energy n elecrc feld nsulaor onducng plaes A capacor
Chapter 5: Discontinuous conduction mode. Introduction to Discontinuous Conduction Mode (DCM)
haper 5. The isconinuous onducion Mode 5.. Origin of he disconinuous conducion mode, and mode boundary 5.. Analysis of he conversion raio M(,K) 5.3. Boos converer example 5.4. Summary of resuls and key
HEAT 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,
ECE Spring Prof. David R. Jackson ECE Dept. Notes 39
ECE 6341 Spring 2016 Prof. David R. Jackon ECE Dep. Noe 39 1 Finie Source J ( y, ) For a phaed curren hee: p p j( k kyy) J y = J e + (, ) 0 The angenial elecric field ha i produced i: ( p ˆ ˆ) j( k + k
Chapter 5. Circuit Theorems
Chaper 5 Crcu Theorems Source Transformaons eplace a olage source and seres ressor by a curren and parallel ressor Fgure 5.-1 (a) A nondeal olage source. (b) A nondeal curren source. (c) Crcu B-conneced
Sample Final Exam (finals03) Covering Chapters 1-9 of Fundamentals of Signals & Systems
Sample Final Exam Covering Chaper 9 (final04) Sample Final Exam (final03) Covering Chaper 9 of Fundamenal of Signal & Syem Problem (0 mar) Conider he caual opamp circui iniially a re depiced below. I LI
A New Three-Level Soft-Switched Converter
New Three-Level of-wched onverer Yungaek Jang and Mlan M. Jovanovć ower Elecroncs Laboraory Dela roducs orporaon.o. ox 73, 50 Davs Dr. Research Trangle ark, N 7709, U... bsrac hree-level, consan-frequency,
A Nonlinear ILC Schemes for Nonlinear Dynamic Systems To Improve Convergence Speed
IJCSI Inernaonal Journal of Compuer Scence Iue, Vol. 9, Iue 3, No, ay ISSN (Onlne): 694-84 www.ijcsi.org 8 A Nonlnear ILC Scheme for Nonlnear Dynamc Syem o Improve Convergence Speed Hoen Babaee, Alreza
Li An-Ping. Beijing , P.R.China
A New Type of Cpher: DICING_csb L An-Png Bejng 100085, P.R.Chna apl0001@sna.com Absrac: In hs paper, we wll propose a new ype of cpher named DICING_csb, whch s derved from our prevous sream cpher DICING.
Ordinary Differential Equations in Neuroscience with Matlab examples. Aim 1- Gain understanding of how to set up and solve ODE s
Ordnary Dfferenal Equaons n Neuroscence wh Malab eamples. Am - Gan undersandng of how o se up and solve ODE s Am Undersand how o se up an solve a smple eample of he Hebb rule n D Our goal a end of class
Novel Technique for PID Tuning by Particle Swarm Optimization
vel Technque for PID Tunng by Parcle Swarm Opmzaon *S. Eaer Selvan, Sehu Subramanan, S. Theban Solomon Abrac An aemp ha been mae by ncorporang ome pecal feaure n he convenonal parcle warm opmzaon (PSO)
Evaluation of an Alternate Soft Charge Circuit for Diode Front End Variable Frequency Drives
Evaluaon of an Alernae Sof Charge Crcu for Dode Fron End arable Frequency Drves Mahesh Swamy Member, IEEE Yaskawa Elecrc Amerca Waukegan, I 60085, USA mahesh_swamy@yaskawa.com Tsuneo J. Kume Fellow, IEEE
( ) () we define the interaction representation by the unitary transformation () = ()
Hgher Order Perurbaon Theory Mchael Fowler 3/7/6 The neracon Represenaon Recall ha n he frs par of hs course sequence, we dscussed he chrödnger and Hesenberg represenaons of quanum mechancs here n he chrödnger
Slovak University of Technology in Bratislava Institute of Information Engineering, Automation, and Mathematics PROCEEDINGS
Slovak Unvery of echnology n Bralava Inue of Informaon Engneerng, Auomaon, and Mahemac PROCEEDINGS 17 h Inernaonal Conference on Proce Conrol 9 Hoel Baník, Šrbké Pleo, Slovaka, June 9 1, 9 ISBN 978-8-7-381-5
THREE-PHASE MIDPOINT RECTIFIERS WITH CURRENT FILTERS
Lab no. THEE-PHASE MIDPOINT ECTIFIES WITH CUENT FILTES. Inroducon Mdpon recfers (M are usually suppled hrough a cenre-apped ransformer. In he case of he hree-phase mdpon recfer (M, he ransformer may be
A Theoretical Model of a Voltage Controlled Oscillator
A Theoreical Model of a Volage Conrolled Ocillaor Yenming Chen Advior: Dr. Rober Scholz Communicaion Science Iniue Univeriy of Souhern California UWB Workhop, April 11-1, 6 Inroducion Moivaion The volage
Implementation of Quantized State Systems in MATLAB/Simulink
SNE T ECHNICAL N OTE Implemenaon of Quanzed Sae Sysems n MATLAB/Smulnk Parck Grabher, Mahas Rößler 2*, Bernhard Henzl 3 Ins. of Analyss and Scenfc Compung, Venna Unversy of Technology, Wedner Haupsraße
On the Permanent Effect of an Aggregate Demand Shock: Evidence from the G-7 Countries
On he Permanen Effec of an Aggregae : Evence from he G-7 Counre Omar H.M.N. Bahar School of Accounng, Economc an Fnance Deakn Unvery Emal: omar.bahar@eakn.eu.au Abrac Th paper exen he work of Cover, Ener
Lecture VI Regression
Lecure VI Regresson (Lnear Mehods for Regresson) Conens: Lnear Mehods for Regresson Leas Squares, Gauss Markov heorem Recursve Leas Squares Lecure VI: MLSC - Dr. Sehu Vjayakumar Lnear Regresson Model M
CHAPTER 5: MULTIVARIATE METHODS
CHAPER 5: MULIVARIAE MEHODS Mulvarae Daa 3 Mulple measuremens (sensors) npus/feaures/arbues: -varae N nsances/observaons/eamples Each row s an eample Each column represens a feaure X a b correspons o he
NONLOCAL BOUNDARY VALUE PROBLEM FOR SECOND ORDER ANTI-PERIODIC NONLINEAR IMPULSIVE q k INTEGRODIFFERENCE EQUATION
Euroean Journal of ahemac an Comuer Scence Vol No 7 ISSN 59-995 NONLOCAL BOUNDARY VALUE PROBLE FOR SECOND ORDER ANTI-PERIODIC NONLINEAR IPULSIVE - INTEGRODIFFERENCE EQUATION Hao Wang Yuhang Zhang ngyang
Problem Set If all directed edges in a network have distinct capacities, then there is a unique maximum flow.
CSE 202: Deign and Analyi of Algorihm Winer 2013 Problem Se 3 Inrucor: Kamalika Chaudhuri Due on: Tue. Feb 26, 2013 Inrucion For your proof, you may ue any lower bound, algorihm or daa rucure from he ex
EG Low Voltage CMOS Fully Differential Current Feedback Amplifier with Controllable 3-dB Bandwidth
EG0800330 Low olage CMS Fully Derenal Curren Feedback Ampler wh Conrollable 3dB Bandwdh Ahmed H. Madan 2, Mahmoud A. Ashour, Solman A. Mahmoud 2, and Ahmed M. Solman 3 adaon Engneerng Dep., NCT, EAEA Caro,
A. Inventory model. Why are we interested in it? What do we really study in such cases.
Some general yem model.. Inenory model. Why are we nereed n? Wha do we really udy n uch cae. General raegy of machng wo dmlar procee, ay, machng a fa proce wh a low one. We need an nenory or a buffer or
A NEW TECHNIQUE FOR SOLVING THE 1-D BURGERS EQUATION
S19 A NEW TECHNIQUE FOR SOLVING THE 1-D BURGERS EQUATION by Xaojun YANG a,b, Yugu YANG a*, Carlo CATTANI c, and Mngzheng ZHU b a Sae Key Laboraory for Geomechancs and Deep Underground Engneerng, Chna Unversy
New Oscillation Results for Forced Second Order Differential Equations with Mixed Nonlinearities
Appled Maheac,, 3, 47-53 hp://dxdoorg/436/a33 Publhed Onlne February (hp://wwwscrporg/ournal/a) New Ocllaon Reul for Forced Second Order Dfferenal Equaon wh Mxed Nonlneare Ercan Tunç, Adl Kayaz Deparen
Sensorless Speed Control of Salient Pole PMSM According to the Backstepping Observer
Proceengs of he Inernaonal Conference on Recen Avances n Elecrcal Sysems, Tunsa, 26 Sensorless Spee Conrol of Salen Pole PMSM Accorng o he Backseppng Observer S. Naj S. Benacha Elecrcal Engneerng Deparmen