FREQUENCY DETECTION METHOD BASED ON RECURSIVE DFT ALGORITHM
|
|
- Wilfrid Silas Randall
- 5 years ago
- Views:
Transcription
1 FREQUECY DETECTIO METHOD BAED O RECURIE ALGORITHM Katsuyasu akano*, Yutaka Ota*, Hioyuki Ukai*, Koichi akamua*, and Hidki Fujita** *Dpt. of ystms Managmnt and Engining, agoya Institut of Tchnology, Gokiso-cho, howa-ku, agoya, , JAPA Phon & Fax: katsu@fanklin.lcom.nitch.ac.jp **Elctic Pow Rsach & Dvlopmnt Cnt Chubu Elctic Pow Co.,Inc 0-1, Kitaskiyama, Ohdaka-cho, Midoi-ku, agoya, , JAPA Abstact :W hav dvlopd th highspd and high pcision PMU(Phaso Masumnt Unit by using DP(Digital ignal Pocsso and th GP(Global Positioning ystm. Th dvlopd PMU nabls to calculat th voltag and cunt phasos and th oth stat vaiabls in lctic pow systms fom th masud instantanous voltag and cunt in al-tim. In this pap, ou pupos is to popos a nw dtction mthod of fquncy in th pow systms basd on o analysis of th cusiv algoithm usd in th PMU. This mthod nabl s to dtct fquncy with fin accuat and highspd. Kywods : fquncy dtction, cusiv, phaso masumnt unit, o analysis 1 ITRODUCTIO Fquncy is on of th most impotant stat vaiabls in pow systms. It is typically masud by dtcting th zo-cossing piod of th voltag wav. Howv, sinc pow lctonics tchnology is incasingly applid in th pow systms, it is quid to dtct mo pcisly and fast in th psnc of hamonics and nois. On th oth hand, applications of digital signal pocssing tchnology to th pow systms hav civd a gat dal of attntion in cnt yas. Th hav bn many digital algoithm applid to calculat fquncy and phaso[1][][3][4][5]. In thos, i n paticula, th PMU is widly applid in od to dtct both.m.s. valu and phas angl of voltag/cunt at multi points in th pow systms. Th calculation algoithm of th voltag/cunt p haso in th PMU is basd on th cusiv (Disct Foui Tansfom. Howv, in th cas whn fquncy of pow systms is fluctuating and diffnt fom th fundamntal fquncy of algoithm, th calculatd.m.s. valu and phas angl hav th dtction o du to th dviation of fquncy[6][7]. Th pupos of this pap is to popos a nw dtction mthod of th fquncy and th phaso in th pow systms by analyzing th o containd in th voltag phaso du to th dviation of fquncy. Fistly, assumd th dviation of fquncy, th o quation of voltag phaso on th basis of th cusiv algoithm is divd. inc both th phas and th magnitud componnts of this quation contain oscillatoy o, th unning avag filt is applid in od to mov th o. Thn th dviation of fquncy is cusivly dducd fom th filtd voltag phaso. condly, sinc th voltag phaso, which th filt is applid to, has th off-st o causd by dviation of fquncy and th phas dlay du to th filt, this off-st o and phas dlay is compnsatd by applying th dtctd dviation of fquncy. On th oth hand, it is mad cla that th o quation which dos not contain oscillatoy o is dducd by using th positiv-phas-squnc componnt tansfomd by th mthod of symmtical coodinats in th cas of th phas balancd voltag. Finally, th numical simulation sults a shown to confim th ffctivnss of th poposd mthod compad with th zo-coss dtction mthod[8]. In paticula, th poposd mthod has obustnss in th cas whn th voltag wav contains hamonics.
2 FREQUECY DETECTIO METHOD BAED O RECURIE ALGORITHM.1 Rcusiv Algoithm oltag phaso is dtctd by th fundamntal fquncy componnt of (Disct Foui Tansfom algoithm fo th squntial data of voltag instantanous valu v as follows: j jπ v f0kt k+ k 1 (1 wh, j;unit of complx numb, f 0 ;fundamntal fquncy of, T ;sampling piod, (1/( f 0 Ts;th numb of sampling p on cycl of fundamntal fquncy. In Eq. (1 th sin componnt is takn as th fnc, bcaus th phas angl fom th zo-coss point of th sin wav should b dtctd. By intoducing otational coodinat systm, jπf 0 T ( th following cusiv lation is divd. j (v + 1 v + 1 j πf0( + 1T (3 Compad with th usual algoithm as Eq. (1, th calculation numb of cusiv as Eq. (3 is indpndnt fom th sampling numb. In fact, th calculation numb of al pat and imaginay pat of th latt is only six fo any, whas th fom is 4+1. This implis that th cusiv is bnficial fo calculation tim.. Eo Analysis of Rcusiv Instantanous valu of singl phas voltag v is xpssd as follows: v sin(πft + φ ( j jφ jπft jφ jπft (4 wh, ; amplitud of th voltag i; initial phas angl of th voltag f; fquncy of pow souc. ow consid that th fquncy of pow souc fluctuats and is diffnt fom th fundamntal fquncy of algoithm f 0, that is f (f-f 0. By substituting Eq. (4 into Eq. (1 and (, th ptubd voltag phaso is obtaind, which consists of two vcto componnts. j vk k 1 j( { ( A φ 0 + π f ( T j π fkt k 1 jα jπ f0 kt + + Β wh, sin( π ft A sin( π ft jβ j πf0t j( φ 0 π ( f 0 + f ( T jπ ( f f 0 + kt k 1 sin( π ( f0 + f T B sin( π ( f + f T α φ π f( 1T + π ft 0 0 β π φ + π(f + f ( 1T π(f + f T 0 (5 (6 (7 f (f-f 0 ;dviation of fquncy of pow souc. Fig.1 shows th lation btwn A, B and fquncy f (f 0 + f by using Eq. (6. In th Fig. 1, if th dviation of fquncy is lss than.0 Hz, which is th ang of fquncy gnally considd in th pow systms, it is stimatd that A, B. Moov th phaso hav high quality fo signal-nois-atio in high fquncy band, in paticula fo hamonics. On th oth hand, both g and g in th Eq. (7 a lina function of f. Th phaso lationship of Eq. (5 is shown in Fig.. It is found that th scond tm of Eq. (5 bings about th oscillatoy o with th fquncy of about two tims of th fquncy of pow souc. Ths o a du to th fquncy dviation f. }
3 Magnitud Fig.1 Magnituds of vcto A and B Fig. Phaso lationship.3 Fquncy Dtction inc th phaso vcto is oscillating du to dviation of fquncy, th unning avag filt is applid in od to mov th ffct of th scond vcto in Eq. (5. Fig. 3 shows th fquncy chaactistic of th applid filt. Th filt is dsignd in od to mov th band aound 60 k Hz, k1,,3,, which includ th oscillatoy fquncy of th o vcto. Th filtd phaso is xpssd as follows: * A j( α + K f wh, K f ;phas dlay du to th filt. (8 Th dviation of fquncy is dducd fom th diffnc of th squntial phas angl of Eq. (8 as follows; ( α + K f ( α 1 + K f f f πt (9.4 High Pcision Phaso Dtction Fom Eq. (8, th.m.s. valu and th phas angl is computd as follows: * A ag( * α π f + K f φ π f ( Fquncy [Hz] A A 1 T + π B ft + K f B π ( f0 + f (10 (11 Gain Fig. 3 Fquncy spons of unning avag filt In th Eq. (10 and Eq. (11, both th.m.s. valu and th phas angl includ off-st o causd by th dviation of fquncy. By substituting th dviation of fquncy dtctd as pvious sction into A in Eq. (10, th.m.s. valu is compnsatd. On th oth hand, sinc th xact valu of th phas angl consists of th fist and th thid tm of Eq. (11, th phas angl is compnsatd by subtacting th dtctd dviation of fquncy and K f fom thm. As th sult, th following pcis phaso angl and.m.s. valu a obtaind * * * A (1 ag( ** ag( * + π f ( 1 T φ + π ft Fquncy [Hz] K f (13.5 Balancd Th-Phas oltag Cas Fo th cas of th-phas voltag, th phaso can b dtctd by th positiv-squnc componnt voltag. In th cas of balancd th-phas voltag, th phaso quation is obtaind as follows: 1 j π j π p 3 3 ( a + b + c 3 jα jβ ( A Β + 1 j π j π j π 3 jα 3 jβ 3 ( A Β j π j π j π 3 jα 3 jβ + ( A + Β 3 jα A (14 It is notd that th phaso dos not contain th oscillatoy o. Thfo, th dviation of f-
4 quncy is dtctd without applying th unning avag filt. In this cas, th off-st o of th.m.s. valu and th phas angl is also compnsatd by Eq. (1 and Eq. (13 in th simila mann as th singl phas cas. Th flow chat of th poposd fquncy dtction mthod and compnsation mthod of th.m.s. valu and th phas angl is shown in Fig. 4(a fo singl-phas cas, and in Fig. 4(b fo th-phas cas, spctivly. 3 IMULATIO REULT In this sction, th ffctivnss of th poposd fquncy and phaso dtction mthod is confimd with numical simulations. Th poposd mthod is compad with th zo-coss dtction mthod. Th zo-coss mthod is th fquncy dtction mthod by masuing th tim intval btwn zo cossing points of th instantanous voltag. Th fquncy is dtctd vy 180 dg by using singl-phas voltag, and vy 60 dg by using th-phas voltag, spctivly. Howv, in th cas whn voltag wav contains hamonics, th dtctd fquncy contains th significant o. Thfo, in gnal, th low-pass filt is applid in od to mov th hamonics[8]. In this pap, two cass of simulations a caid out in od to compa fou kinds of fquncy dtction mthod as follows: imulation cas 1. Pow souc without hamonics. Pow souc with 5% fifth od hamonics Fquncy dtction mthod 1. ingl-phas zo-coss mthod. Th-phas zo-coss mthod 3. Poposd singl-phas mthod 4. Poposd th-phas mthod At any cass, th balancd th-phas voltag is usd, and th fquncy of voltag has stp chang fom 6 Hz to Hz. Th numb of sampling is 4, in oth wods, sampling fquncy is 1440 Hz. v Rcusiv-.m.s. valu & phas angl ag( Running avag filt * ag( * Compnsation by Eq. (1 & (13 ** ag( ** Diffntiating By Eq. (9 f f (a ingl-phas cas v a, v b, v c, Rcusiv- Rcusiv- Rcusiv- a, b, c, Positivphassqunc componnt By Eq. (14 p,.m.s. valu & phas angl p, ag( p, Running avag filt p, * ag( Diffntiating By Eq. (9 p, Compnsation by Eq. (1 & (13 * f ag( p, * * p, f * * (b Th-phas cas Fig. 4 Flow diagam of fquncy and phaso dtction
5 3.1 Cas-1 Fig. 5 shows th simulation sults of th cas-1. Fig. 5(a shows th instantanous voltag wav. Fig. 5(b shows th fquncy dtctd by zocoss mthods. In Fig. 5(b, both singl- and thphas zo-coss mthods hav dad tim to dtct fquncy in stp wis. Howv, th poposd mthods in Fig.5(c and (d dtct in lump wis, and th changs of fquncy can b dtctd instantanously. In paticula, th poposd th-phas mthod shows good tansint pfomanc without unning avag filt. If th fluctuation of fquncy is within.0 Hz, th poposd mthods nabl to dtct fquncy in th sam way. Fig. 6 shows th phas angl compnsatd by d - tctd fquncy. In Fig. 6(a, it is found that whn fquncy of pow souc is diffnt fom th fundamntal fquncy, th phas angl dtctd fom singl-phas componnt contains oscillatoy os. Th off-st and oscillatoy o a compnsatd by poposd mthod within 1.5 cycls. On th oth hand, in Fig. 6(b, it is found that phas angl d tctd fom positiv-squnc componnt contains only off-st os. Th o is also compnsatd by poposd mthod within 1.5 cycls. Thfo, th pcis dtction of phas angl is alizd by th poposd compnsation mthod. Th.m.s. valu is compnsatd in th simila way. oltag [v] Hz 60.10Hz va vb vc (a Instantanous voltag Fquncy Dviation [Hz] 0.1 input zo1 zo3 (b Zo-coss mthod Fquncy Dviation [Hz] (c Poposd singl-phas mthod (d Poposd th-phas mthod Fig. 5 tp spons of cas-1 Fquncy Dviation [Hz] 0.1 Eo of Phas Angl [dg] bfo aft (a ingl-phas mthod (b Th-phas mthod Fig. 6 Compnsation sults of phas angl Eo of Phas Angl [dg] bfo aft
6 3. Cas- Fig. 7 shows th simulation sults in th cas whn th voltag wav contains hamonics. Fig. 7(a shows th instantanous voltag wav. Fig. 7(b and (c shows fquncy dtctd by zocoss mthods. It should b notd that th both singl and th phas zo-coss mthods a vy snsitiv to hamonics. This is du to that th zocoss point of voltag wav is shiftd fom th zocoss point of th fundamntal fquncy wav by th hamonics. Thfo, in th cas whn th zo-coss mthods a usd, th low-pass filt is applid to mov hamonics. Th fquncy spons of th low-pass filt is shown in Fig. 8. Th phas dlay of this filt is about cycl. Fig. 9 shows th simulation sults by using zo-coss mthods with low-pass filt. Fig. 9(a shows th instantanous voltag wav aft filting. In Fig.9 (b and (c, th zocoss mthods nabl to dtct fquncy pcisly by applying th low-pass filt to th voltag. Howv, in this way, th dlay tim to dtct fquncy bcoms long than th cas without low-pass filt. Finally, dad tim bcom to b about.0 cycls. On th oth hand, in Fig. 7(d and (, th poposd mthods a lss affctd by hamonics and th dlay tim is within 1.5 cycls. Th a two asons why th poposd mthods hav ssntially obustnss against hamonics. Fistly, poposd mthods pick out fundamntal fquncy as Fig. 1. condly, th unning avag filt applid to - mov th oscillatoy o is also usful to mov th affct of hamonics. Compaing Fig. 9(b(c and Fig. 7(d(, it is found that th poposd mthods nabl to dtct fquncy mo accuatly and mo instantanously than zo-coss mthods whn th fluctuation of fquncy occus. oltag [v] Hz 60.10Hz va vb vc (a Instantanous voltag Fquncy Dviation [Hz] 0.1 (b ingl-phas zo-coss mthod Fquncy Dviation [Hz] (cth-phas zo-coss mthod Fquncy Dviation [Hz] (d ingl-phas poposd mthod ( Th-phas poposd mthod Fig. 7 tp spons of cas- Fquncy Dviation [Hz]
7 Gain Fquncy Dviation [Hz] Fquncy Dviation [Hz] oltag [v] Fquncy [Hz] Fig. 8 Fquncy spons of low-pass filt 6Hz 60.10Hz va vb vc (a Instantanous voltag aft filting (b ingl-phas zo-coss mthod (c Th-phas zo-coss mthod Fig. 9 tp spons of cas- with LPF 4 COCLUIO This pap poposd a nw dtction mthod of fquncy in lctic pow systms. Th poposd mthod basd on cusiv algoithm alizs th accuat dtction of fquncy, in paticula, in th cas whn th voltag wav contains hamonics. Moov, this mthod nabls to dtct fquncy instantanously whn th fluctuation of fquncy occus. In addition, th.m.s. valu and th phas angl is compnsatd by using th dtctd fquncy. REFERECE [1] A.G.Phadk, J..Thop, Impovd Contol and Potction of Pow ystms Though ynchonizd Phaso Masumnts, Contol and Dynamic ystms, Advancs in Thoy and Applications, ol.43, Acadmic Pss, 1991, pp [] P.J.Moo, R.D.Caanza, and A.T.Johns, Modl ystm Tsts on a w wmic Mthod of Pow ystm Fquncy Masumnt, IEEE Tans. on Pow Dlivy, ol.11, o., Apil.1996, pp [3] J.Z.Yang and C.W.Liu, A Pcis Calculation of Pow ystm Fquncy and Phaso, IEEE Tans. on Pow Dlivy, ol.15, o., Apil.000, pp [4] Yutaka Ota, Masatak Kawada, Hioyuki Ukai, Koich akamua, obuyuki Matsui, Mototaka on,.c.vma, Hidki Fujita, ynchonizd Phaso Masumnt of tat Paamts at Multi-points in Elctic Pow ystm by using DP and GP, Pocdings of Intnational Confnc on ignal Pocssing Applications and Tcnology(ICPAT, ovmb [5] Yutaka Ota, Hioyuki Ukai, Koich akamua, Hidki Fujita, Evaluation of tability and Elctic Pow Quality in Pow ystm by using Phaso Masumnts, in Pocdings 000 Intnational Confnc Pow ystm Tcnology(PowCon000, vol.3, Dcmb 000, pp [6] Tsuyoshi Funaki, Knji Matsuua, hunsuk Tanaka, Eo Estimation and Coction of Dtctid Phas by Ral Tim, Tans. IEE of Japan, ol.10-b, o.1, Dcmb 000, pp (in Japans [7] Katsuyasu akano, Yutaka Ota, Hioyuki Ukai, Koich akamua, Hidki Fujita, Application of Phaso Masumnt Mthod to Fquncy Dtction of Pow ystm, Tans. IEE of Japan, ol.11-b, o.1, Dcmb 001, pp (in Japans [8] Tomio Chiba, Mitsuyasu Kido, Junzou Kawakami, Katsuhiko Yonda, Tadao Kawai, Kotao Hiasawa, High-Pcision oltag Masuing Mthod using Fast ampld Data fo Elctic Pow ystms, Tans. IEE of Japan, ol.113-b, o.5, May 1993, pp (in Japans
E F. and H v. or A r and F r are dual of each other.
A Duality Thom: Consid th following quations as an xampl = A = F μ ε H A E A = jωa j ωμε A + β A = μ J μ A x y, z = J, y, z 4π E F ( A = jω F j ( F j β H F ωμε F + β F = ε M jβ ε F x, y, z = M, y, z 4π
More informationExtinction Ratio and Power Penalty
Application Not: HFAN-.. Rv.; 4/8 Extinction Ratio and ow nalty AVALABLE Backgound Extinction atio is an impotant paamt includd in th spcifications of most fib-optic tanscivs. h pupos of this application
More informationStudy on the Classification and Stability of Industry-University- Research Symbiosis Phenomenon: Based on the Logistic Model
Jounal of Emging Tnds in Economics and Managmnt Scincs (JETEMS 3 (1: 116-1 Scholalink sach Institut Jounals, 1 (ISS: 141-74 Jounal jtms.scholalinksach.og of Emging Tnds Economics and Managmnt Scincs (JETEMS
More informationCDS 101/110: Lecture 7.1 Loop Analysis of Feedback Systems
CDS 11/11: Lctu 7.1 Loop Analysis of Fdback Systms Novmb 7 216 Goals: Intoduc concpt of loop analysis Show how to comput closd loop stability fom opn loop poptis Dscib th Nyquist stability cition fo stability
More informationSchool of Electrical Engineering. Lecture 2: Wire Antennas
School of lctical ngining Lctu : Wi Antnnas Wi antnna It is an antnna which mak us of mtallic wis to poduc a adiation. KT School of lctical ngining www..kth.s Dipol λ/ Th most common adiato: λ Dipol 3λ/
More informationThe angle between L and the z-axis is found from
Poblm 6 This is not a ifficult poblm but it is a al pain to tansf it fom pap into Mathca I won't giv it to you on th quiz, but know how to o it fo th xam Poblm 6 S Figu 6 Th magnitu of L is L an th z-componnt
More informationSUPPLEMENTARY INFORMATION
SUPPLMNTARY INFORMATION. Dtmin th gat inducd bgap cai concntation. Th fild inducd bgap cai concntation in bilay gaphn a indpndntly vaid by contolling th both th top bottom displacmnt lctical filds D t
More informationHydrogen atom. Energy levels and wave functions Orbital momentum, electron spin and nuclear spin Fine and hyperfine interaction Hydrogen orbitals
Hydogn atom Engy lvls and wav functions Obital momntum, lcton spin and nucla spin Fin and hypfin intaction Hydogn obitals Hydogn atom A finmnt of th Rydbg constant: R ~ 109 737.3156841 cm -1 A hydogn mas
More informationChapter 5. Control of a Unified Voltage Controller. 5.1 Introduction
Chapt 5 Contol of a Unifid Voltag Contoll 5.1 Intoduction In Chapt 4, th Unifid Voltag Contoll, composd of two voltag-soucd convts, was mathmatically dscibd by dynamic quations. Th spac vcto tansfomation
More informationInertia identification based on adaptive interconnected Observer. of Permanent Magnet Synchronous Motor
Intnational Jounal of Rsach in Engining and Scinc (IJRES) ISSN (Onlin): 232-9364, ISSN (Pint): 232-9356 www.ijs.og Volum 3 Issu 9 ǁ Sptmb. 25 ǁ PP.35-4 Intia idntification basd on adaptiv intconnctd Obsv
More informationTheoretical Extension and Experimental Verification of a Frequency-Domain Recursive Approach to Ultrasonic Waves in Multilayered Media
ECNDT 006 - Post 99 Thotical Extnsion and Expimntal Vification of a Fquncy-Domain Rcusiv Appoach to Ultasonic Wavs in Multilayd Mdia Natalya MANN Quality Assuanc and Rliability Tchnion- Isal Institut of
More informationGAUSS PLANETARY EQUATIONS IN A NON-SINGULAR GRAVITATIONAL POTENTIAL
GAUSS PLANETARY EQUATIONS IN A NON-SINGULAR GRAVITATIONAL POTENTIAL Ioannis Iaklis Haanas * and Michal Hany# * Dpatmnt of Physics and Astonomy, Yok Univsity 34 A Pti Scinc Building Noth Yok, Ontaio, M3J-P3,
More informationFUZZY LOGIC BASED CONTROLLER FOR FIVE PHASE INDUCTION MOTOR DRIVE SYSTEM
FUZZY LOGIC BASED CONTROLLER FOR FIVE PHASE INDUCTION MOTOR DRIVE SYSTEM Akshay M. Suyawanshi and Anant A. Kulkani 2 PG Studnt, M.B.E. Socity s Collg of, Engining, Ambajogai (M.S), India 2 PG Dpatmnt,
More informationInvestigation Effect of Outage Line on the Transmission Line for Karbalaa-132Kv Zone in Iraqi Network
Intnational Rsach Jounal of Engining and Tchnology (IRJET) -ISSN: - Volum: Issu: Jun - www.ijt.nt p-issn: - Invstigation Effct of Outag on th Tansmission fo Kabalaa-Kv Zon in Iaqi Ntwok Rashid H. AL-Rubayi
More informationSTATISTICAL MECHANICS OF DIATOMIC GASES
Pof. D. I. ass Phys54 7 -Ma-8 Diatomic_Gas (Ashly H. Cat chapt 5) SAISICAL MECHAICS OF DIAOMIC GASES - Fo monatomic gas whos molculs hav th dgs of fdom of tanslatoy motion th intnal u 3 ngy and th spcific
More informationStudy on the Static Load Capacity and Synthetic Vector Direct Torque Control of Brushless Doubly Fed Machines
ngis Aticl Study on Static Load Capacity Syntic cto Dict Toqu Contol Bushlss Doubly Fd Machins Chaoying Xia * Xiaoxin Hou School Elctical Engining Automation, Tianjin Univsity, No. 9 Wijin Road, Tianjin,
More informationGRAVITATION. (d) If a spring balance having frequency f is taken on moon (having g = g / 6) it will have a frequency of (a) 6f (b) f / 6
GVITTION 1. Two satllits and o ound a plant P in cicula obits havin adii 4 and spctivly. If th spd of th satllit is V, th spd of th satllit will b 1 V 6 V 4V V. Th scap vlocity on th sufac of th ath is
More informationDesign, Analysis and Research Corporation (DARcorporation) ERRATA: Airplane Flight Dynamics and Automatic Flight Controls Part I
Dsign, Analysis and Rsach Copoation (DARcopoation) ERRATA: Aiplan Flight Dynamics and Automatic Flight Contols Pat I Copyight 995 by D. Jan Roskam Ya of Pint, 995 (Eata Rvisd Fbuay 27, 207) Plas chck th
More informationFourier transforms (Chapter 15) Fourier integrals are generalizations of Fourier series. The series representation
Pof. D. I. Nass Phys57 (T-3) Sptmb 8, 03 Foui_Tansf_phys57_T3 Foui tansfoms (Chapt 5) Foui intgals a gnalizations of Foui sis. Th sis psntation a0 nπx nπx f ( x) = + [ an cos + bn sin ] n = of a function
More informationPH672 WINTER Problem Set #1. Hint: The tight-binding band function for an fcc crystal is [ ] (a) The tight-binding Hamiltonian (8.
PH67 WINTER 5 Poblm St # Mad, hapt, poblm # 6 Hint: Th tight-binding band function fo an fcc cstal is ( U t cos( a / cos( a / cos( a / cos( a / cos( a / cos( a / ε [ ] (a Th tight-binding Hamiltonian (85
More informationTwo-Wheeled Welding Mobile Robot for Tracking a Smooth Curved Welding Path Using Adaptive Sliding-Mode Control Technique
Intnational wo-whld Jounal Wlding of Contol, Mobil Automation, Robot fo acking and Systms, a Smooth vol. Cuvd, no. 3, Wlding pp. 83-94, Path Using Jun Adaptiv 7 Sliding-Mod 83 wo-whld Wlding Mobil Robot
More informationPhysics 111. Lecture 38 (Walker: ) Phase Change Latent Heat. May 6, The Three Basic Phases of Matter. Solid Liquid Gas
Physics 111 Lctu 38 (Walk: 17.4-5) Phas Chang May 6, 2009 Lctu 38 1/26 Th Th Basic Phass of Matt Solid Liquid Gas Squnc of incasing molcul motion (and ngy) Lctu 38 2/26 If a liquid is put into a sald contain
More informationBrushless Doubly-Fed Induction Machines: Torque Ripple
Bushlss Doubly-Fd Induction Machins: Toqu Rippl Tim. D. Stous, Xuzhou Wang, Hn Polind, Snio Mmb, IEEE, and J. A. (Bam Fia, Fllow, IEEE Abstact-- Th Bushlss DFIM without its bush-ga and slip-ings loos pomising
More informationMid Year Examination F.4 Mathematics Module 1 (Calculus & Statistics) Suggested Solutions
Mid Ya Eamination 3 F. Matmatics Modul (Calculus & Statistics) Suggstd Solutions Ma pp-: 3 maks - Ma pp- fo ac qustion: mak. - Sam typ of pp- would not b countd twic fom wol pap. - In any cas, no pp maks
More informationESE (Prelims) - Offline Test Series ELECTRICAL ENGINEERING SUBJECT: Electrical Machines & Systems and Signal Processing SOLUTIONS
TEST ID: 30 ESE- 09 (Plims) - Offlin Tst Sis ELECTRICAL ENGINEERING Tst-3 SUBJECT: Elctical Machins & Systms and Signal Pocssing SOLUTIONS 0. Ans: (c) Sol: With hot-olld stl laminations max [B m ] A. A
More informationMechanism Analysis of Dynamic Compaction based on Large Deformation
Th Opn Civil Engining Jounal,,, - Opn Accss Mchanism Analysis of Dynamic Compaction basd on Lag Dfomation Xi Nnggang *, Chn Yun, Y Y and Wang Lu Anhui Univsity of Tchnology, Maanshan, Anhui Povinc, China,
More informationCombining Subword and State-level Dissimilarity Measures for Improved Spoken Term Detection in NTCIR-11 SpokenQuery&Doc Task
Combining Subwod and Stat-lvl Dissimilaity Masus fo Impovd Spokn Tm Dtction in NTCIR-11 SpoknQuy&Doc Task ABSTRACT Mitsuaki Makino Shizuoka Univsity 3-5-1 Johoku, Hamamatsu-shi, Shizuoka 432-8561, Japan
More information(, ) which is a positively sloping curve showing (Y,r) for which the money market is in equilibrium. The P = (1.4)
ots lctu Th IS/LM modl fo an opn conomy is basd on a fixd pic lvl (vy sticky pics) and consists of a goods makt and a mony makt. Th goods makt is Y C+ I + G+ X εq (.) E SEK wh ε = is th al xchang at, E
More informationMonte Carlo Simulation of an Optical Differential Phase-Shift Keying Communication System with Direct Detection Impaired by In-Band Crosstalk
SIMUL 2012 : Th Fouth Intnational Confnc on Advancs in Systm Simulation Mont Calo Simulation of an Optical Diffntial Phas-Shift Kying Communication Systm with Dict Dtction Impaid y In-Band Cosstalk Gnádio
More informationON SEMANTIC CONCEPT SIMILARITY METHODS
4 ON SEMANTIC CONCEPT SIMILARITY METHODS Lu Yang*, Vinda Bhavsa* and Haold Boly** *Faculty of Comput Scinc, Univsity of Nw Bunswick Fdicton, NB, E3B 5A3, Canada **Institut fo Infomation Tchnology, National
More informationNear Space Hypersonic Unmanned Aerial Vehicle Dynamic Surface Backstepping Control Design
Snsos & ansducs Vol. 74 Issu 7 uly 4 pp. 9-97 Snsos & ansducs 4 by IFSA Publishing S. L. http://www.snsospotal.com Na Spac Hypsonic Unmannd Aial Vhicl Dynamic Sufac Backstpping Contol Dsign inyong YU i
More informationThe design of DSP/FPGA based maneuvering target tracking system
Th dsign of DSP/FPGA basd manuving tagt tacing systm PAN-LONG WU, LIAN-ZHENG ZHANG, and XIN-YU ZHANG Dpatmnt of Automation Naning Univsity of Scinc and Tchnology No., Xiao Ling Wi Stt, Naning 94 PEOPLE
More informationKeywords: Auxiliary variable, Bias, Exponential estimator, Mean Squared Error, Precision.
IN: 39-5967 IO 9:8 Ctifid Intnational Jounal of Engining cinc and Innovativ Tchnolog (IJEIT) Volum 4, Issu 3, Ma 5 Imovd Exonntial Ratio Poduct T Estimato fo finit Poulation Man Ran Vija Kuma ingh and
More informationMonitoring and diagnostic methods for eccentricity faults in the induction motor
Pocding of th Intnational Confnc on Cicuit, Sytm, Signal Monitoing and diagnotic mthod fo ccnticity fault in th induction moto A. Mtatla*,S. Bnzahioul*, T. Bahi**, and D. fbv*** *Dpatmnt of Elctomchanical,
More information217Plus TM Integrated Circuit Failure Rate Models
T h I AC 27Plu s T M i n t g at d c i c u i t a n d i n d u c to Fa i lu at M o d l s David Nicholls, IAC (Quantion Solutions Incoatd) In a pvious issu o th IAC Jounal [nc ], w povidd a highlvl intoduction
More informationGRAVITATION 4) R. max. 2 ..(1) ...(2)
GAVITATION PVIOUS AMCT QUSTIONS NGINING. A body is pojctd vtically upwads fom th sufac of th ath with a vlocity qual to half th scap vlocity. If is th adius of th ath, maximum hight attaind by th body
More informationENGG 1203 Tutorial. Difference Equations. Find the Pole(s) Finding Equations and Poles
ENGG 03 Tutoial Systms ad Cotol 9 Apil Laig Obctivs Z tasfom Complx pols Fdbac cotol systms Ac: MIT OCW 60, 6003 Diffc Equatios Cosid th systm pstd by th followig diffc quatio y[ ] x[ ] (5y[ ] 3y[ ]) wh
More informationElectron spin resonance
Elcton sonanc 00 Rlatd topics Zman ffct, ngy quantum, quantum numb, sonanc, g-facto, Landé facto. Pincipl With lcton sonanc (ESR) spctoscopy compounds having unpaid lctons can b studid. Th physical backgound
More informationLecture 2: Frequency domain analysis, Phasors. Announcements
EECS 5 SPRING 24, ctu ctu 2: Fquncy domain analyi, Phao EECS 5 Fall 24, ctu 2 Announcmnt Th cou wb it i http://int.c.bkly.du/~5 Today dicuion ction will mt Th Wdnday dicuion ction will mo to Tuday, 5:-6:,
More informationOverview. 1 Recall: continuous-time Markov chains. 2 Transient distribution. 3 Uniformization. 4 Strong and weak bisimulation
Rcall: continuous-tim Makov chains Modling and Vification of Pobabilistic Systms Joost-Pit Katon Lhstuhl fü Infomatik 2 Softwa Modling and Vification Goup http://movs.wth-aachn.d/taching/ws-89/movp8/ Dcmb
More informationLoss factor for a clamped edge circular plate subjected to an eccentric loading
ndian ounal of Engining & Matials Scincs Vol., Apil 4, pp. 79-84 Loss facto fo a clapd dg cicula plat subjctd to an ccntic loading M K Gupta a & S P Niga b a Mchanical Engining Dpatnt, National nstitut
More informationShor s Algorithm. Motivation. Why build a classical computer? Why build a quantum computer? Quantum Algorithms. Overview. Shor s factoring algorithm
Motivation Sho s Algoith It appas that th univs in which w liv is govnd by quantu chanics Quantu infoation thoy givs us a nw avnu to study & tst quantu chanics Why do w want to build a quantu coput? Pt
More informationEE243 Advanced Electromagnetic Theory Lec # 22 Scattering and Diffraction. Reading: Jackson Chapter 10.1, 10.3, lite on both 10.2 and 10.
Appid M Fa 6, Nuuth Lctu # V //6 43 Advancd ctomagntic Thoy Lc # Scatting and Diffaction Scatting Fom Sma Obcts Scatting by Sma Dictic and Mtaic Sphs Coction of Scatts Sphica Wav xpansions Scaa Vcto Rading:
More informationStudying the Steady State Performance Characteristics of Induction Motor with Field Oriented Control Comparing to Scalar Control
EJERS, Euopan Jounal of Engining Rach and Scinc Studying th Stady Stat fomanc Chaactitic of nduction Moto with Fild Ointd Contol Compaing to Scala Contol Hamdy Mohamd Soliman Abtact Fild ointd contol i
More informationCHAPTER 5 CIRCULAR MOTION
CHAPTER 5 CIRCULAR MOTION and GRAVITATION 5.1 CENTRIPETAL FORCE It is known that if a paticl mos with constant spd in a cicula path of adius, it acquis a cntiptal acclation du to th chang in th diction
More informationAakash. For Class XII Studying / Passed Students. Physics, Chemistry & Mathematics
Aakash A UNIQUE PPRTUNITY T HELP YU FULFIL YUR DREAMS Fo Class XII Studying / Passd Studnts Physics, Chmisty & Mathmatics Rgistd ffic: Aakash Tow, 8, Pusa Road, Nw Dlhi-0005. Ph.: (0) 4763456 Fax: (0)
More informationII.3. DETERMINATION OF THE ELECTRON SPECIFIC CHARGE BY MEANS OF THE MAGNETRON METHOD
II.3. DETEMINTION OF THE ELETON SPEIFI HGE Y MENS OF THE MGNETON METHOD. Wok pupos Th wok pupos is to dtin th atio btwn th absolut alu of th lcton chag and its ass, /, using a dic calld agnton. In this
More information[2009] IEEE. Reprinted, with permission, from Xu, Wei; Zhu, Jianguo; Guo, Youguang; Wang, Yi; Zhang, Yongchang; Tan, Longcheng. Equivalent Circuits
[009] IEEE. Rpintd, with pmission, fom Xu, Wi; Zhu, Jianguo; Guo, Youguang; Wang, Yi; Zhang, Yongchang; Tan, Longchng. Equivalnt Cicuits fo Singld-sidd Lina Induction Motos', Pocdings of IEEE Engy Convsion
More informationA Comparative Study and Analysis of an Optimized Control Strategy for the Toyota Hybrid System
Pag 563 Wol Elctic Vhicl Jounal Vol. 3 - ISSN 3-6653 - 9 AVERE EVS4 Stavang, Noway, May 13-16, 9 A Compaativ Stuy an Analysis of an Optimiz Contol Statgy fo th Toyota Hybi Systm Tho Hofman 1, Thijs Punot
More informationQ Q N, V, e, Quantum Statistics for Ideal Gas and Black Body Radiation. The Canonical Ensemble
Quantum Statistics fo Idal Gas and Black Body Radiation Physics 436 Lctu #0 Th Canonical Ensmbl Ei Q Q N V p i 1 Q E i i Bos-Einstin Statistics Paticls with intg valu of spin... qi... q j...... q j...
More informationCBSE-XII-2013 EXAMINATION (MATHEMATICS) The value of determinant of skew symmetric matrix of odd order is always equal to zero.
CBSE-XII- EXAMINATION (MATHEMATICS) Cod : 6/ Gnal Instuctions : (i) All qustions a compulso. (ii) Th qustion pap consists of 9 qustions dividd into th sctions A, B and C. Sction A compiss of qustions of
More informationELEC9721: Digital Signal Processing Theory and Applications
ELEC97: Digital Sigal Pocssig Thoy ad Applicatios Tutoial ad solutios Not: som of th solutios may hav som typos. Q a Show that oth digital filts giv low hav th sam magitud spos: i [] [ ] m m i i i x c
More informationSIMPLIFICATIONS AND SOLUTIONS OF DIFFRACTION FUNCTIONS IN NONLINEAR ACOUSTIC PARAMETER MEASUREMENT
ICSV Cain Autalia 9- July 7 SIMPLIFICATIONS AN SOLUTIONS OF IFFRACTION FUNCTIONS IN NONLINEAR ACOUSTIC PARAMETER MEASUREMENT jilali Koutich Launt Alliè Rachid Gula and Mutapha Nadi LIEN Nancy-Univité Faculté
More informationPhysics 202, Lecture 5. Today s Topics. Announcements: Homework #3 on WebAssign by tonight Due (with Homework #2) on 9/24, 10 PM
Physics 0, Lctu 5 Today s Topics nnouncmnts: Homwok #3 on Wbssign by tonight Du (with Homwok #) on 9/4, 10 PM Rviw: (Ch. 5Pat I) Elctic Potntial Engy, Elctic Potntial Elctic Potntial (Ch. 5Pat II) Elctic
More informationInternational Journal of Industrial Engineering Computations
Intnational Jounal of Industial Engining Computations 5 (4 65 74 Contnts lists availabl at GowingScinc Intnational Jounal of Industial Engining Computations hompag: www.gowingscinc.com/ijic A nw modl fo
More informationMolecules and electronic, vibrational and rotational structure
Molculs and ctonic, ational and otational stuctu Max on ob 954 obt Oppnhim Ghad Hzbg ob 97 Lctu ots Stuctu of Matt: toms and Molculs; W. Ubachs Hamiltonian fo a molcul h h H i m M i V i fs to ctons, to
More informationAn Elementary Approach to a Model Problem of Lagerstrom
An Elmntay Appoach to a Modl Poblm of Lagstom S. P. Hastings and J. B. McLod Mach 7, 8 Abstact Th quation studid is u + n u + u u = ; with bounday conditions u () = ; u () =. This modl quation has bn studid
More informationFrictional effects, vortex spin-down
Chapt 4 Fictional ffcts, votx spin-down To undstand spin-up of a topical cyclon it is instuctiv to consid fist th spin-down poblm, which quis a considation of fictional ffcts. W xamin fist th ssntial dynamics
More informationInternational Journal of Scientific & Engineering Research, Volume 7, Issue 9, September ISSN
Intnational Jounal of cintific & Engining Rsach, Volum 7, Issu 9, ptmb-016 08 Analysis and Dsign of Pocklingotn s Equation fo any Abitay ufac fo Radiation Pavn Kuma Malik [1], Haish Pathasathy [], M P
More informationThe theory of electromagnetic field motion. 6. Electron
Th thoy of lctomagntic fild motion. 6. Elcton L.N. Voytshovich Th aticl shows that in a otating fam of fnc th magntic dipol has an lctic chag with th valu dpnding on th dipol magntic momnt and otational
More information8 - GRAVITATION Page 1
8 GAVITATION Pag 1 Intoduction Ptolmy, in scond cntuy, gav gocntic thoy of plantay motion in which th Eath is considd stationay at th cnt of th univs and all th stas and th plants including th Sun volving
More informationOrbital averages and the secular variation of the orbits
Obital avags and th scula vaiation of th obits Mauizio M. D Eliso Ossvatoio S.Elmo - Via A.Caccavllo 89 Napoli Italy Obital avags a mployd to comput th scula vaiation of th lliptical plantay lmnts in th
More information1. Radiation from an infinitesimal dipole (current element).
LECTURE 3: Radiation fom Infinitsimal (Elmntay) Soucs (Radiation fom an infinitsimal dipol. Duality in Maxwll s quations. Radiation fom an infinitsimal loop. Radiation zons.). Radiation fom an infinitsimal
More informationCoverage and Rate in Cellular Networks with Multi-User Spatial Multiplexing
Covag and Rat in Cllula Ntwoks with Multi-Us Spatial Multiplxing Sjith T. Vtil, Kian Kuchi Dpatmnt of Elctical Engining Indian Institut of Tchnology, Hydabad Hydabad, India 55 {p, kkuchi}@iith.ac.in Anilsh
More informationUsing the Hubble Telescope to Determine the Split of a Cosmological Object s Redshift into its Gravitational and Distance Parts
Apion, Vol. 8, No. 2, Apil 2001 84 Using th Hubbl Tlscop to Dtmin th Split of a Cosmological Objct s dshift into its Gavitational and Distanc Pats Phais E. Williams Engtic Matials sach and Tsting Cnt 801
More informationAcoustics and electroacoustics
coustics and lctoacoustics Chapt : Sound soucs and adiation ELEN78 - Chapt - 3 Quantitis units and smbols: f Hz : fqunc of an acoustical wav pu ton T s : piod = /f m : wavlngth= c/f Sound pssu a : pzt
More informationarxiv: v1 [cond-mat.stat-mech] 27 Aug 2015
Random matix nsmbls with column/ow constaints. II uchtana adhukhan and Pagya hukla Dpatmnt of Physics, Indian Institut of Tchnology, Khaagpu, India axiv:58.6695v [cond-mat.stat-mch] 7 Aug 5 (Datd: Octob,
More informationGeometrical Analysis of the Worm-Spiral Wheel Frontal Gear
Gomtical Analysis of th Wom-Spial Whl Fontal Ga SOFIA TOTOLICI, ICOLAE OACEA, VIRGIL TEODOR, GABRIEL FRUMUSAU Manufactuing Scinc and Engining Dpatmnt, Dunaa d Jos Univsity of Galati, Domnasca st., 8000,
More informationAuxiliary Sources for the Near-to-Far-Field Transformation of Magnetic Near-Field Data
Auxiliay Soucs fo th Na-to-Fa-Fild Tansfomation of Magntic Na-Fild Data Vladimi Volski 1, Guy A. E. Vandnbosch 1, Davy Pissoot 1 ESAT-TELEMIC, KU Luvn, Luvn, Blgium, vladimi.volski@sat.kuluvn.b, guy.vandnbosch@sat.kuluvn.b
More informationA Self-Tuning Proportional-Integral-Derivative Controller for an Autonomous Underwater Vehicle, Based On Taguchi Method
Jounal of Comput Scinc 6 (8): 862-871, 2010 ISSN 1549-3636 2010 Scinc Publications A Slf-Tuning Popotional-Intgal-Divativ Contoll fo an Autonomous Undwat Vhicl, Basd On Taguchi Mthod M. Santhakuma and
More informationPhysics 240: Worksheet 15 Name
Physics 40: Woksht 15 Nam Each of ths poblms inol physics in an acclatd fam of fnc Althouh you mind wants to ty to foc you to wok ths poblms insid th acclatd fnc fam (i.. th so-calld "won way" by som popl),
More information5.61 Fall 2007 Lecture #2 page 1. The DEMISE of CLASSICAL PHYSICS
5.61 Fall 2007 Lctu #2 pag 1 Th DEMISE of CLASSICAL PHYSICS (a) Discovy of th Elcton In 1897 J.J. Thomson discovs th lcton and masus ( m ) (and inadvtntly invnts th cathod ay (TV) tub) Faaday (1860 s 1870
More informationCDS 101: Lecture 7.1 Loop Analysis of Feedback Systems
CDS : Lct 7. Loop Analsis of Fback Sstms Richa M. Ma Goals: Show how to compt clos loop stabilit fom opn loop poptis Dscib th Nqist stabilit cition fo stabilit of fback sstms Dfin gain an phas magin an
More informationNEWTON S THEORY OF GRAVITY
NEWTON S THEOY OF GAVITY 3 Concptual Qustions 3.. Nwton s thid law tlls us that th focs a qual. Thy a also claly qual whn Nwton s law of gavity is xamind: F / = Gm m has th sam valu whth m = Eath and m
More informationPropagation of Light About Rapidly Rotating Neutron Stars. Sheldon Campbell University of Alberta
Ppagatin f Light Abut Rapily Rtating Nutn Stas Shln Campbll Univsity f Albta Mtivatin Tlscps a nw pcis nugh t tct thmal spcta fm cmpact stas. What flux is masu by an bsv lking at a apily tating lativistic
More informationORBITAL TO GEOCENTRIC EQUATORIAL COORDINATE SYSTEM TRANSFORMATION. x y z. x y z GEOCENTRIC EQUTORIAL TO ROTATING COORDINATE SYSTEM TRANSFORMATION
ORITL TO GEOCENTRIC EQUTORIL COORDINTE SYSTEM TRNSFORMTION z i i i = (coωcoω in Ωcoiinω) (in Ωcoω + coωcoiinω) iniinω ( coωinω in Ωcoi coω) ( in Ωinω + coωcoicoω) in icoω in Ωini coωini coi z o o o GEOCENTRIC
More informationWhat Makes Production System Design Hard?
What Maks Poduction Systm Dsign Had? 1. Things not always wh you want thm whn you want thm wh tanspot and location logistics whn invntoy schduling and poduction planning 2. Rsoucs a lumpy minimum ffctiv
More informationSwarm Intelligence Based Controller for Electric Machines and Hybrid Electric Vehicles Applications
Swam Intllignc Basd Contoll fo Elctic Machins and Hybid Elctic Vhicls Applications Oma Hgazy 1, Am Amin, and Joi Van Milo 1 1 Faculty of Engining Scincs Dpatmnt of ETEC- Vij Univsitit Bussl, Pow and Elctical
More informationQ Q N, V, e, Quantum Statistics for Ideal Gas. The Canonical Ensemble 10/12/2009. Physics 4362, Lecture #19. Dr. Peter Kroll
Quantum Statistics fo Idal Gas Physics 436 Lctu #9 D. Pt Koll Assistant Pofsso Dpatmnt of Chmisty & Biochmisty Univsity of Txas Alington Will psnt a lctu ntitld: Squzing Matt and Pdicting w Compounds:
More information2008 AP Calculus BC Multiple Choice Exam
008 AP Multipl Choic Eam Nam 008 AP Calculus BC Multipl Choic Eam Sction No Calculator Activ AP Calculus 008 BC Multipl Choic. At tim t 0, a particl moving in th -plan is th acclration vctor of th particl
More informationSolid state physics. Lecture 3: chemical bonding. Prof. Dr. U. Pietsch
Solid stat physics Lctu 3: chmical bonding Pof. D. U. Pitsch Elcton chag dnsity distibution fom -ay diffaction data F kp ik dk h k l i Fi H p H; H hkl V a h k l Elctonic chag dnsity of silicon Valnc chag
More informationCDS 110b: Lecture 8-1 Robust Stability
DS 0b: Lct 8- Robst Stabilit Richad M. Ma 3 Fba 006 Goals: Dscib mthods fo psnting nmodld dnamics Div conditions fo obst stabilit Rading: DFT, Sctions 4.-4.3 3 Fb 06 R. M. Ma, altch Gam lan: Robst fomanc
More informationMidterm Exam. CS/ECE 181B Intro to Computer Vision. February 13, :30-4:45pm
Nam: Midtm am CS/C 8B Into to Comput Vision Fbua, 7 :-4:45pm las spa ouslvs to th dg possibl so that studnts a vnl distibutd thoughout th oom. his is a losd-boo tst. h a also a fw pags of quations, t.
More information(( ) ( ) ( ) ( ) ( 1 2 ( ) ( ) ( ) ( ) Two Stage Cluster Sampling and Random Effects Ed Stanek
Two ag ampling and andom ffct 8- Two Stag Clu Sampling and Random Effct Ed Stank FTE POPULATO Fam Labl Expctd Rpon Rpon otation and tminology Expctd Rpon: y = and fo ach ; t = Rpon: k = y + Wk k = indx
More informationECE theory of the Lamb shift in atomic hydrogen and helium
Gaphical Rsults fo Hydogn and Hlium 5 Jounal of Foundations of Physics and Chmisty,, vol (5) 5 534 ECE thoy of th Lamb shift in atomic hydogn and hlium MW Evans * and H Eckadt ** *Alpha Institut fo Advancd
More informationGreen Dyadic for the Proca Fields. Paul Dragulin and P. T. Leung ( 梁培德 )*
Gn Dyadic fo th Poca Filds Paul Dagulin and P. T. Lung ( 梁培德 )* Dpatmnt of Physics, Potland Stat Univsity, P. O. Box 751, Potland, OR 9707-0751 Abstact Th dyadic Gn functions fo th Poca filds in f spac
More informationLossy Transmission Lines. EELE 461/561 Digital System Design. Module #7 Lossy Lines. Lossy Transmission Lines. Lossy Transmission Lines
Topics EEE 46/56 Digital Systm Dsign. Skin Ect. Dilctic oss Modul #7 ossy ins ossy ins - Whn w divd Tlgaphs Equations, w mad an assumption that th was no loss in th quivalnt cicuit modl i.., =, = - This
More information6.Optical and electronic properties of Low
6.Optical and lctonic poptis of Low dinsional atials (I). Concpt of Engy Band. Bonding foation in H Molculs Lina cobination of atoic obital (LCAO) Schoding quation:(- i VionV) E find a,a s.t. E is in a
More informationmultipath channel Li Wei, Youyun Xu, Yueming Cai and Xin Xu
Robust quncy ost stmato o OFDM ov ast vayng multpath channl L W, Youyun Xu, Yumng Ca and Xn Xu Ths pap psnts a obust ca quncy ost(cfo stmaton algothm sutabl o ast vayng multpath channls. Th poposd algothm
More informationCollisionless Hall-MHD Modeling Near a Magnetic Null. D. J. Strozzi J. J. Ramos MIT Plasma Science and Fusion Center
Collisionlss Hall-MHD Modling Na a Magntic Null D. J. Stoi J. J. Ramos MIT Plasma Scinc and Fusion Cnt Collisionlss Magntic Rconnction Magntic connction fs to changs in th stuctu of magntic filds, bought
More informationA New High-Precision Mode Acceleration Method for Calculating Frequency Response of Non-Classically Damped Systems
A Nw High-Pcision Mod Acclation Mthod fo Calculating Fquncy Rspons of Non-Classically Dapd Systs Jingfang Shn School of Scinc Huazhong Agicultual Univsity Wuhan, China shningfang6@6.co Png Wang School
More information1 Lecture: pp
EE334 - Wavs and Phasos Lcu: pp -35 - -6 This cous aks vyhing ha you hav bn augh in physics, mah and cicuis and uss i. Easy, only nd o know 4 quaions: 4 wks on fou quaions D ρ Gauss's Law B No Monopols
More informationHomework: Due
hw-.nb: //::9:5: omwok: Du -- Ths st (#7) s du on Wdnsday, //. Th soluton fom Poblm fom th xam s found n th mdtm solutons. ü Sakua Chap : 7,,,, 5. Mbach.. BJ 6. ü Mbach. Th bass stats of angula momntum
More informationSources. My Friends, the above placed Intro was given at ANTENTOP to Antennas Lectures.
ANTENTOP- 01-008, # 010 Radiation fom Infinitsimal (Elmntay) Soucs Fl Youslf a Studnt! Da finds, I would lik to giv to you an intsting and liabl antnna thoy. Hous saching in th wb gav m lots thotical infomation
More informationChapter Six Free Electron Fermi Gas
Chapt Six Elcton mi Gas What dtmins if th cystal will b a mtal, an insulato, o a smiconducto? E Band stuctus of solids mpty stats filld stats mpty stats filld stats E g mpty stats filld stats E g Conduction
More informationRotor Stationary Control Analysis Based on Coupling KdV Equation Finite Steady Analysis Liu Dalong1,a, Xu Lijuan2,a
204 Intrnational Confrnc on Computr Scinc and Elctronic Tchnology (ICCSET 204) Rotor Stationary Control Analysis Basd on Coupling KdV Equation Finit Stady Analysis Liu Dalong,a, Xu Lijuan2,a Dpartmnt of
More informationII. FORMULATION OF THE PROBLEM
Intnational Jounal of Engining Scinc Invntion ISSN (Onlin): 39 6734 ISSN (Pint): 39 676 www.ijsi.og Volum 6 Issu 9 Sptmb 7 PP. - Study of Unstady Magntohydodynamic Flow of n Incompssibl Viscous Elctically
More informationEstimation of a Random Variable
Estimation of a andom Vaiabl Obsv and stimat. ˆ is an stimat of. ζ : outcom Estimation ul ˆ Sampl Spac Eampl: : Pson s Hight, : Wight. : Ailin Company s Stock Pic, : Cud Oil Pic. Cost of Estimation Eo
More informationFree carriers in materials
Lctu / F cais in matials Mtals n ~ cm -3 Smiconductos n ~ 8... 9 cm -3 Insulatos n < 8 cm -3 φ isolatd atoms a >> a B a B.59-8 cm 3 ϕ ( Zq) q atom spacing a Lctu / "Two atoms two lvls" φ a T splitting
More informationAnalysis and experimental validation of a sensor-based event-driven controller 1
Analysis and ximntal validation of a snso-basd vnt-divn contoll 1 J.H. Sand Eindhovn Univsity of Tchnology Dt. of Elct. Eng. Contol Systms gou W.P.M.H. Hmls Eindhovn Univsity of Tchnology Dt. of Mch. Eng.
More information