Mitigating Balanced and Unbalanced Voltage Sag Via Shunt-Connected Voltage Source Convertor (VSC) by using Double Vector Controller

Size: px
Start display at page:

Download "Mitigating Balanced and Unbalanced Voltage Sag Via Shunt-Connected Voltage Source Convertor (VSC) by using Double Vector Controller"

Transcription

1 sah Jounal of Appl Sns, Engnng an Thnology 6(3): , 03 ISSN: ; -ISSN: Maxwll Sntf Oganzaton, 03 Submtt: Dmb 7, 0 Apt: Mah 07, 03 Publsh: August 05, 03 Mtgatng Balan an Unbalan Voltag Sag Va Shunt-Connt Voltag Sou Convto (VSC) by usng Doubl Vto Contoll Abollah Sho, Hussan Shaf, Azah Moham an Shvn Sho Dpatmnt of Eltal, Elton an Systms Engnng, Unvst Kbangsaan, Malaysa Abstat: Ths stuy psnts a shunt-connt Voltag Sou Convto (VSC) to mtgat balan an unbalan voltag sag an gulat th g voltag at a fx lvl by nstng u atv pow at th Pont of Common Couplng (PCC). Moov, an nn Vto Cunt-Contoll (VCC) an out voltag ontoll (VVC) a appl togth to alulats th unt fns fo th VCC. Futhmo, an nuto/ apato/nuto (C) flt s pla wth th smpl -flt n btwn th VSC an th ntwo an t s onstut to u th voltag sag. ws, to ma up fo th unbalan ps, th postv an ngatv sun omponnts lat to th g voltag shoul b manag stntly. Th postv an ngatv sun omponnts lat to th g voltag shoul b manag stntly. Ths s ahv though th applaton of two npnnt ontolls fo th two suns wth an ntal asa stutu whh has bn xplat abov. Smulaton sults sgnat pop funtonng of th ontol systm whh has bn popos. Kywos: Pow ualty, atv pow ontoll, voltag an unt ontoll, voltag sag mtgaton, voltag sou onvto INTODUCTION In th nt as, pow ualty poblms spally voltag sag an hamon stoton a nown as on of th most sgnfant tops among pow systm ngns (Hngoan, 995; D Pna t al., 003; Wooly t al., 999; Jung t al., 00). Thfo, th oun of ths pow ualty vnts spally fo thos nusts whh a assoat wth nfomaton thnology systms an b vy hamful. ntly, stat-of-th-at pow lton bas ompnsatos all Custom Pow Dvs (CPD) hav bn vlop to mtgat th ngatv ffts of pow ualty poblms (Hngoan, 995). Th Ssonnt Voltag Sou Convtos (VSC), also all Stat Ss Compnsato (SSC) o Dynam Voltag sto (DV), an b atgoz as a typ of CPDs. Ths vs an b onnt n ss wth th stbuton f at th upstam s of th snstv loas to fftvly mtgat o lmnat th ffts of voltag sag, voltag mbalan an oth typs of pow ualty vnts (Hngoan, 995). Nvthlss, hgh nvstmnt an mantnan osts an omplx stutu a th man lmtatons to of Ss-onnt VSCs (Nwman an Holms, 00). Th Dstbuton Stat Synhonous Compnsato (D- STATCOM) s a typ of shunt-onnt CPDs whh s mostly bas on VSC an onnt n paalll wth snstv loas n stbuton ntwos to pott snstv loas aganst voltag sag, voltag vaaton an unt hamon stoton (Choma an Etza- Amol, 00; Esoba t al., 000). Th voltag sag ompnsaton statgy n D-STATCOM s bas on th atv pow njton at th onnton pont fo moat voltag sag, whl atv pow njton s manatoy to mtgat p voltag sags (Bolln, 999; Wang t al., 998). Thfo, a ps ontol statgy s nssay to mpov th ynam pfomans of D-STATCOMs. Suh ontolls shoul b abl to auatly ontol th voltag o unt fba loop an th swthng pattn of th nvts. Bas ontolls n D-STATCOM ontolls an b manly v nto voltag ontol an unt ontol, whh voltag ontol mo s manly ommon n Voltag ontol mo, th output AC voltag shoul ta th at fn voltag n DC uantts. Dpnng on th u ontol paamts, ths pou an b mplmnt usng (Cla an pa tansfom) fn to xtat atv atv pow an tuaat voltag omponnts as th tansfomaton valus an multplyng ths valus n th AC nstantanous voltag (Svnsson an ngn, 998). Th man lmtaton of ths thnu s th hgh snstvty of th tansfom valus to th mbalan voltag ontons, whh ma th ontol pou mo omplx. In ompason, th unt ontol mthos suh as hystss an avag unt ontolls a lss omplx an fast than voltag ontol mthos. In ths stuy, an mpov ontol mtho bas on voltag an unt gulaton s popos an usng Doubl Vto Contol (DVC) baus t has two Cosponng Autho: Abollah Sho, Dpatmnt of Eltal, Elton an Systms Engnng, Unvst Kbangsaan, Malaysa 379

2 s. J. Appl. S. Eng. Thnol., 6(3): , 03 vto-ontol loops. On of th loops s tan nto onsaton to gulat unt whl th oth loop gulats voltag at (PCC). Vto Cunt Contol (VCC) s appl fo ompnsato unt gulaton (Hngoan, 995) an Vto Voltag Contoll (VVC) wos as out ontol lop, whh tas th fn bus voltag to alz th voltag sag mtgaton. In th smulaton pogam PSCAD/EMTDC all th smulatons a a out an th lvant pfoman s manfst. wttn as Hanfos an N, 000; Wang t al., 998): u u ff pε ( u ) ff ε () (3) wh, an a th f-fowa tm an unt o at ah sampl, sptvly an:, ε ( n ) CONFIGUATION OF D-STATCOM WITH DUA VECTO CONTOE (DVC) u ω j [ ff g ] (4) DVC s manly a typ of asa ontoll sgn to ontol th u njt unt. DVC onssts of two vto ontolls namly Vto Cunt Contoll (VCC) an Vto Voltag Contoll (VVC). Vto unt ontoll: Th Vto Cunt Contoll (VCC) an b ons as a usful tool whh mas th ompnsato unt to ta th fn unt. Consng th shmat agam of th shunt-onnt VSC shown n Fg. an applyng Khhoff's voltag law to th VSC output flt by usng Cla an Pa tansfomaton un th fx two-oonat αβ fam, th voltag an unt at th Pont of Common Couplng (PCC) an b obtan as: u ( αβ ) ( t) ( αβ ) ( αβ ) αβ ) t ( g ( αβ ) ( αβ ) ( αβ ) ( αβ ) u ( t) g t () () wh, an a sstan an atan of th flt an u, g an a th VSC output voltag, PCC voltag an njt unt at th PCC, sptvly. By applyng th Synhonous fn Fam (SF),.., -oonat systm an Phas-o oop (P) n th VCC, th atv an atv unt an b spaatly ontoll. Thfo, E. () an b ε (5) Th popotonal gan, p, an th ntgal gan,, to attan th abat spons an also b fn as / T s / an K p, T s /T,, sptvly, wh, T, Th ntgato tm onstant s st to / Both atv an atv unts a ontoll npnntly wth hgh banwth, vn n ov moulaton gon usng th voltag lmtaton an Mnmum Ampltu Eo (MAE) tats (Ottstn an Svnsson, 00; Svnsson an ngn, 998). Th output voltag of VCC an b xpss n tms of SF by substtutng (4) an (5) n () as: ω u ( ) ( ) p, g u, ( )( ) ω ( ) ( ) ( ), p, g (6) (7) Vto Voltag-Contol (VVC): Th man tas of th VVC s to mantan an stablz th PCC voltag at ts Fg. : Sngl-ln agam of systm wth shunt-onnt VSC an -flt 380

3 s. J. Appl. S. Eng. Thnol., 6(3): , 03 Fg. : Blo shm of th wth ts lvant poss Fg. 3: G voltags ung 5% voltag sag. Wthout VSC at valu. In th psn of an njton tansfom wth wnng ato of : an assumng a nglgbl voltag op at th tansfom ato, th PCC voltag an b ons balan an ual to th flt apato voltag Fg. 6. Hn, th voltag at PCC an b ontoll an pt onstant. Consng Fg., th njt unt nto th g an b obtan as: ω j [ nj p, v, vε ( n ) (8) wh, ε () s th voltag o at sampl, s gvn by: ε ε AC-voltag ontoll: Th ampltu of th PCC voltag an b ontoll by njtng atv pow an also th voltag g an b hang by usng th ntwo mpan (Wooly t al., 999). Fgu shows` th omplt blo shm of th Vto Cunt-Contoll (VCC) wth ts lvant poss. Th voltag magntu o s tansmtt to th a-voltag ontoll, fom by a PI-gulato. In as of th stay-stat -voltag of wll b zo. s th g output fn atv unt, whh s f to th VCC an s th fn atv unt whh s au fom a slow -ln voltag ontoll that ompnsats fo VSC losss. Th apatv atv pow njt nto th ntwo by th VSC, has bn psnt as a blow: Thfo, ω nj nj ( ω ( ) wh, K p,v Th popotonal gan K,v Th ntgal gan ( p v ) (, v ), ) ( ) p, v (9) (0) If th ntgato tm onstant s ual to 30 ms an sttng of th unt an voltag ontoll a sptvly 70% an 5% of abat (Bongono t al., 005, Ptsson t al., 005)., v ( ) 38 Q g g () In vw of th fat that g s zo, whn th voltag of g s too low, apatv atv pow has bn njt an th unt wll b postv. Dst tm ampltu of th PI-gulato s gvn by: Tabl : Contol paamts g pamt G voltag E 400 V pu G Cunt I 40 A pu G funy f 50 HZ G nutan g. mh 0.4 pu G sstan g 0.05 Ω pu oa sstan l 0 Ω.73 pu oa nutan l 3.9 mh.3 pu DC-ln voltag u 600 V.5 pu Flt sstan 4.8 mω pu Flt nutan mh 0.09 pu g

4 Tabl : Systm paamt Cunt ontoll paamts Popotonal gan K P, 7.0(70% a bat) Intgato gan K, 0 AC- voltag ontoll paamts Popotonal gan K P,Q 0.97 Intgato tm onstant T,Q 0.0 P-ban wth α P 30 a/s Tabl 3: Injton tansfom paamts at pow S T 0 KVA.08 pu Shot-ut pow E T 30 V pu Shot-ut voltag P 4 W 0.05 pu aag nutan V 5.3 V 0.03 pu Ss sstan λ 0.3 mh 0.08 pu λ mω 0.04 [ pq g g g ] g [ TQ S s. J. Appl. S. Eng. Thnol., 6(3): , 03 ( n ) g g ( pq T )( 0.4 Q g () (3) wh, K PQ an T Q a th popotonal an ntgal gan of th gulato, sptvly. Pfoman spton: Tabls an a th ontoll an systm paamts sptvly (Wooly t al., 999). An by usng PSCAD/EMTDC, smulaton, ontol systm has bn nvstgat an tst. Fgu 3 has psnt th voltag at th PCC whn th VSC n l mo. As llustat, th voltag of PCC s un th nflun of a 5% voltag p an 9 phas-angl jump. Fgu 4 splay th VSC njt a hgh atv unt (los to 00A..) ung voltag sag to ma voltag at th PCC onstant 400V (Fg. 5). Aong to th smulaton sult t s possbl to ompnsat voltag sag wth nvstgat ontoll an by hangng -flt wth C-flt, VSC wll manag th amount of atv pow n. Systm pfoman by applyng ll-flt an atv ampng: In abov ston th VCC sb un stff g voltag, mpan of th g s appoxmatly ual to zo. If th PCC voltag stff s not nough, g wth th sam ynams of th njton unt wll hang, lang to th stablty poblm sb abov. It wll b ssntal to ovom ths poblms to shown th ynam of th g voltag at PCC. Consuntly, t shoul b mof onfguaton fo th SVC by ang a apato (C 60μμμμ) (Fg. 6). Paamts fo th njton tansfom a shown n Tabl 3. SIMUATION ANAYSIS ( n )] g g Th ontol systm, whh has bn off, has bn xamn un smla voltag p shown n n Fg. 0 an. 38 g Fg. 3. Th osllatons a vsbly snbl n Fg. 7. Instng a sst as a ampng tm n ss ( 0.5Ω) wth th flt apato wll la to th pvnton of ths phnomnon. Nonthlss, th ffowa tm n E. (4) s pt blow an Fg. 8 monstats that th PCC voltag s ajust to th pf valu whh appoxmats 0.0 pu osllatons an an b obsv n -voltag (Ptsson t al., 005,, 989): u ff [ ω j g ( ] (4) Dynam opaton ung unbalan voltag sag: Th popos ontol statgy by Smulaton sults has laf that t s only appopat fo mtgaton of balan voltag sag as you an s n Fg. 8, owng to th psn of th ngatv-sun n th masu uantts an to gan btt op wth unbalan voltag ps shoul mofy th onfguaton of th systm spaat to th ontol postv an ngatvsun of th njt unt. Mofatons of th ngatv-sun omponnts of th njt unt wll b llumnat n abov ston. Doubl vto otoll (v): To mpov th unbalan stuban ompnsaton two spaat ontols, Synhonous fn Fam (SF s ) an b us (Ptsson t al., 005, Snsama t al., 00), wh th postv an ngatv (SF) a synhonz to postv an ngatv sun omponnt of th ntwo voltag. Th sults an xplan by th blo shm of Dual Vto Contoll (DVC) (Wooly t al., 999). By Sun Spaaton Mtho (SSM) an sb sun omponnts of unt njton, voltag of apato an flt unt (Wooly t al., 999, Jung t al., 00). Euatons (3 an 3) a th sam fo th postv sun of VCC an VVC, sptvly. To ompnsat fo th unbalan stuban of th voltag, a ontol mtho s u to pou th sou fn unts of D-STATCOM n th as th ntwo voltag s unbalan. Ths fn unts nt th vto ontoll bas on whh onvto voltag a ma n phass a, b an. Th gnal tn s llustat n Fg. 9. In th Doubl Vto Contoll (DVC) (Wooly t al., 999), two ntal vto ontol blos xst whh a ffnt only n th sgn of oupl fatos btwn th an axs (Hngoan, 995). Th am s to tah th postv an ngatv omponnts of voltag an unt n th vnt of th unbalan voltag. Fou sgnals hang nto subsun omponnts. Dsptons of ths sgnals a pov )

5 s. J. Appl. S. Eng. Thnol., 6(3): , 03 Fg. 4: Injt unt of - an -omponnt as a sult of 5% voltag sag Fg. 5: Th-phas g voltags ompnsat at PCC.VSC an - flt a us Fg. 6: Shmat lat to th systm wth shunt-onnt VSC an C-output flt. Fg. 7: Th th-phas g voltags of th PCC ung th voltag sag.vsc n l mo Fg. 8: Th-phas g voltags of PCC. By applyng VSC, C-flt an atv ampng 383

6 s. J. Appl. S. Eng. Thnol., 6(3): , 03 Fg. 9: Shmat of systm (DVC) bas on oubl synhonous fn fams Fg. 0: Dsptons of ths sgnals Fg. : Dsptons of ths sgnals Fg. : Th-phas wav foms at PCC E g Ntwo voltag at PCC pont E Capato voltag of ompnsato flt I Cunt of VSC onvto I nj Injt unt to th ntwo Implmntng of ths fou sgnals s shown by E. (6, 7), (8, 9) an Fg. 0, : xx 0.5( (tt) (tt 0.005) (5) xx 0.5( (tt) (tt 0.005) (6) xx 0.5( (tt) (tt 0.005)) (7) xx 0.5( (tt) (tt 0.005)) (8) 384

7 s. J. Appl. S. Eng. Thnol., 6(3): , 03 To ompa th pfoman of th asa ontoll that w psnt n th pvous ston wth DVC un th sam unbalan voltag sag, llustat n Fg. 7, fo th-phas wavfoms an by usng Dual Vto Contoll, t wll b sussful mtgaton of th voltag sag an t s vntly vsbl n Fg.. CONCUSION Ths stuy sbs how to us VSC to mtgat voltag p. Moov, t susss an shows that VSC an ontol an mantan th ampltu of th ntwo s voltag wth ompnsatng voltag p by njtng atv pow. Nvthlss, ths n of ontol systm s ompltly snstv to th paamts vaatons of th systm. To gan at th hgh opaton an mo obust ontoll an stutu of shunt onnton, wth smpl -flt an C-flt has bn analyz. Invstgaton vals that by sltng a asa ontoll, wth VVC an VCC a mo powful ontoll an b ah. sult of th ontol systm has bn obtan n th postv an ngatv SF, n o to spaat ontol omponnts of postv an ngatv-sun of th ntwo voltag. Smulaton sults mantan that wth th popos ontol mtho, w an ahv hgh ynam pfoman by usng DVC. EFEENCES Bolln, M., 999. Unstanng Pow Qualty Poblms: Voltag Sags an Intuptons. IEEE Pss, Nw Yo. Bongono, M., J. Svnsson an A. Sannno, 005. An avan asa ontoll fo ss-onnt VSC fo voltag p mtgaton. Inusty Applatons Confn, Foutth IAS Annual Mtng Confn o of th 005, Gotbog, Swn, : Choma, K.N. an M. Etza-Amol, 00. Th applaton of a DSTATCOM to an nustal falty. IEEE Pow Engnng Soty Wnt Mtng, : D Pna, C., P. V, A. Sannno an M. Bolln, 003. Stat ss ompnsato fo voltag p mtgaton wth zo-sun njton apablty. IEEE Bologna Pow Th Confn Pongs, Italy, VO. 4. Esoba, G., A. Stanov an P. Mattavll, 000. atv Pow, mbalan an hamons ompnsaton usng -statom wth a sspatvtybas ontoll. IEEE Inusty Applatons Confn, Confn o of th 000, Boston, MA, USA, 4: Hanfos,. an H.P. N, 000. A gnal algothm fo sp an poston stmaton of AC motos. IEEE T. In. Elt., 47(): Hngoan, N.G., 995. Intoung ustom pow. IEEE Sptum, 3(6): Jung, S.Y., T.H. Km, S.I. Moon an B.M. Han, 00. Analyss an ontol of DSTATCOM fo a ln voltag gulaton. IEEE Pow Engnng Soty Wnt Mtng, South Koa, : , T.N., 989. Kompnssaton shnll vanlh blnstom ns shstomvbauhs. tzahv H. 8(B. ): Nwman, M.J. an D.G. Holms, 00. An ntgat appoah fo th potton of ss njton nvts. IEEE T. In. Appl., 38(3): Ottstn,. an J. Svnsson, 00. Vto unt ontoll voltag sou onvt-abat ontol an satuaton statgs. IEEE T. Pow Elt., 7(): Ptsson, A.,. Hanfos an T. Thng, 005. Evaluaton of unt ontol mthos fo wn tubns usng oubly-f nuton mahns. IEEE T. Pow Elt., 0(): Snsama, P., K. Paya an V. amanaayanan, 00. Analyssanpfomanvaluatonof a stbuton STATCOM fo ompnsatng voltag flutuatons. IEEE T. Pow Dlv., 6(): Svnsson, J. an M.B. ngn, 998. Vto unt ontoll g onnt voltag sou onvtnflun of nonlnats on th pfoman. 9th Annual IEEE Pow Eltons Spalsts Confn, PESC 98 o, 7- May, Gotbog, Swn, : Wang, P., N. Jnns an M. Bolln, 998. Expmntal nvstgaton of voltag sag mtgaton by an avan stat VA ompnsato. IEEE T. Pow Dlv., 3(4): Wooly, N.H.,. Mogan an A. Sunaam, 999. Expn wth an nvt-bas ynam voltag sto. IEEE T. Pow Dlv., 4(3):

Load Equations. So let s look at a single machine connected to an infinite bus, as illustrated in Fig. 1 below.

Load Equations. So let s look at a single machine connected to an infinite bus, as illustrated in Fig. 1 below. oa Euatons Thoughout all of chapt 4, ou focus s on th machn tslf, thfo w wll only pfom a y smpl tatmnt of th ntwok n o to s a complt mol. W o that h, but alz that w wll tun to ths ssu n Chapt 9. So lt

More information

Structure and Features

Structure and Features Thust l Roll ans Thust Roll ans Stutu an atus Thust ans onsst of a psly ma a an olls. Thy hav hh ty an hh loa apats an an b us n small spas. Thust l Roll ans nopoat nl olls, whl Thust Roll ans nopoat ylnal

More information

Rectification and Depth Computation

Rectification and Depth Computation Dpatmnt of Comput Engnng Unvst of Cafona at Santa Cuz Rctfcaton an Dpth Computaton CMPE 64: mag Anass an Comput Vson Spng 0 Ha ao 4/6/0 mag cosponncs Dpatmnt of Comput Engnng Unvst of Cafona at Santa Cuz

More information

Analysis of a M/G/1/K Queue with Vacations Systems with Exhaustive Service, Multiple or Single Vacations

Analysis of a M/G/1/K Queue with Vacations Systems with Exhaustive Service, Multiple or Single Vacations Analyss of a M/G// uu wth aatons Systms wth Ehaustv Sv, Multpl o Sngl aatons W onsd h th fnt apaty M/G// uu wth th vaaton that th sv gos fo vaatons whn t s dl. Ths sv modl s fd to as on povdng haustv sv,

More information

Switching FOC Method for Vector Control of Single-Phase Induction Motor Drives

Switching FOC Method for Vector Control of Single-Phase Induction Motor Drives Intnatonal Jounal of Elctcal an Comput Engnng (IJECE) Vol. 6, No., Apl 16, pp. 474~483 ISSN: 88-878, DOI: 1.11591/jc.6.9146 474 Swtchng FOC tho fo Vcto Contol of Sngl-Phas Inucton oto Ds ohamma Jannat*,

More information

Period vs. Length of a Pendulum

Period vs. Length of a Pendulum Gaphcal Mtho n Phc Gaph Intptaton an Lnazaton Pat 1: Gaphng Tchnqu In Phc w u a vat of tool nclung wo, quaton, an gaph to mak mol of th moton of objct an th ntacton btwn objct n a tm. Gaph a on of th bt

More information

Applications of Lagrange Equations

Applications of Lagrange Equations Applcaton of agang Euaton Ca Stuy : Elctc Ccut ng th agang uaton of oton, vlop th athatcal ol fo th ccut hown n Fgu.Sulat th ult by SIMI. Th ccuty paat a: 0.0 H, 0.00 H, 0.00 H, C 0.0 F, C 0. F, 0 Ω, Ω

More information

t the propensity to consume the resource good. Maximizing U t in (9) subject to the budget constraint (8) yields

t the propensity to consume the resource good. Maximizing U t in (9) subject to the budget constraint (8) yields ISB 978-9-84468-8-5 Innaonal Confn on Issus n Busnss onoms Mang an Mamas (IBMM-6) Sngapo 5-6 6 Busnss Cls Capal nvonmn an Rnabl Rsous W-Bn Zang Rsuman Asa Paf Unvs Bppu-s Japan Absa: Ts pap nfs busnss

More information

ECE 422 Power System Operations & Planning 2 Synchronous Machine Modeling

ECE 422 Power System Operations & Planning 2 Synchronous Machine Modeling ECE 422 Power System Operatons & Plannng 2 Synhronous Mahne Moelng Sprng 219 Instrutor: Ka Sun 1 Outlne 2.1 Moelng of synhronous generators for Stablty Stues Synhronous Mahne Moelng Smplfe Moels for Stablty

More information

Determination of slot leakage inductance for three-phase induction motor winding using an analytical method

Determination of slot leakage inductance for three-phase induction motor winding using an analytical method ACHIVES OF EECTICA EGIEEIG VO 6 pp 569-59 DOI 78/--6 Dtnton of ot ntn fo t-p nton oto wnn n n nt to JA STASZAK Dptnt of Et Mn n Mton St K Unvt of Tnoo Tą PP 7 K Pon -: j@tp v: v: 5 Att: T t nto o pon fo

More information

Homework: Due

Homework: 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 information

Noise in electronic components.

Noise in electronic components. No lto opot5098, JDS No lto opot Th PN juto Th ut thouh a PN juto ha fou opot t: two ffuo ut (hol fo th paa to th aa a lto th oppot to) a thal at oty ha a (hol fo th aa to th paa a lto th oppot to, laka

More information

SYMMETRICAL COMPONENTS

SYMMETRICAL COMPONENTS SYMMETRCA COMPONENTS Syl oponn llow ph un of volg n un o pl y h p ln yl oponn Con h ph ln oponn wh Engy Convon o 4 o o wh o, 4 o, 6 o Engy Convon SYMMETRCA COMPONENTS Dfn h opo wh o Th o of pho : pov ph

More information

ECE 522 Power Systems Analysis II 2 Power System Modeling

ECE 522 Power Systems Analysis II 2 Power System Modeling ECE 522 Power Systems Analyss II 2 Power System Moelng Sprng 218 Instrutor: Ka Sun 1 Outlne 2.1 Moelng of synhronous generators for Stablty Stues Synhronous Mahne Moelng Smplfe Moels for Stablty Stues

More information

5- Scattering Stationary States

5- Scattering Stationary States Lctu 19 Pyscs Dpatmnt Yamou Unvsty 1163 Ibd Jodan Pys. 441: Nucla Pyscs 1 Pobablty Cunts D. Ndal Esadat ttp://ctaps.yu.du.jo/pyscs/couss/pys641/lc5-3 5- Scattng Statonay Stats Rfnc: Paagaps B and C Quantum

More information

Adaptive Power System Stabilizer using Artificial Neural Network

Adaptive Power System Stabilizer using Artificial Neural Network 84 NAIONAL POWER SYSEMS CONFERENCE, NPSC Adaptv Pow Systm Stablz usng Atal Nual Ntwok P.C. Panda, A.. Panda and A. Routay Abstat-- An Atal Nual Ntwok (ANN) basd adaptv PSS and ts applaton to pow systm

More information

Midterm Exam. CS/ECE 181B Intro to Computer Vision. February 13, :30-4:45pm

Midterm 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

Weighted Graphs. Weighted graphs may be either directed or undirected.

Weighted Graphs. Weighted graphs may be either directed or undirected. 1 In mny ppltons, o rp s n ssot numrl vlu, ll wt. Usully, t wts r nonntv ntrs. Wt rps my tr rt or unrt. T wt o n s otn rrr to s t "ost" o t. In ppltons, t wt my msur o t lnt o rout, t pty o ln, t nry rqur

More information

Analysis of Data Dependency Based Intrusion Detection System *

Analysis of Data Dependency Based Intrusion Detection System * nalyss of Data Dnny Bas Intuson Dtton Systm * Ymk ugmanov 1, Bajna ana 1, an Y Hu 2 1 Comut Sn an Comut Engnng Datmnt Unvsty of kansas ayttvll, R 72701 {ynugmano,bana}@uak.u 2 Comut Sn Datmnt othn Kntuky

More information

Integrated Optical Waveguides

Integrated Optical Waveguides Su Opls Faha Raa Cll Uvs Chap 8 Ia Opal Wavus 7 Dl Slab Wavus 7 Iu: A va f ff a pal wavus a us f a u lh a hp Th s bas pal wavu s a slab wavus shw blw Th suu s uf h - Lh s u s h b al al fl a h -la fas Cla

More information

J. Milli Monfared K. Abbaszadeh E. Fallah Assistant Professor P.H.D Student P.H.D Student

J. Milli Monfared K. Abbaszadeh E. Fallah Assistant Professor P.H.D Student P.H.D Student olng an Smulaton of Dual h Pha Inucton achn n Fault conton wo Pha cut off) an Popo A Nw Vcto Contol Appoach fo oqu Ocllaton Ructon J. ll onfa K. Abbazah E. Fallah Atant Pofo P.H.D Stunt P.H.D Stunt Amkab

More information

Chapter 3 Binary Image Analysis. Comunicação Visual Interactiva

Chapter 3 Binary Image Analysis. Comunicação Visual Interactiva Chapt 3 Bnay Iag Analyss Counação Vsual Intatva Most oon nghbohoods Pxls and Nghbohoods Nghbohood Vznhança N 4 Nghbohood N 8 Us of ass Exapl: ogn nput output CVI - Bnay Iag Analyss Exapl 0 0 0 0 0 output

More information

RAKE Receiver with Adaptive Interference Cancellers for a DS-CDMA System in Multipath Fading Channels

RAKE Receiver with Adaptive Interference Cancellers for a DS-CDMA System in Multipath Fading Channels AKE v wh Apv f Cs fo DS-CDMA Ss Muph Fg Chs JooHu Y Su M EEE JHog M EEE Shoo of E Egg Sou o Uvs Sh-og Gw-gu Sou 5-74 Ko E-: ohu@su As hs pp pv AKE v wh vs og s popos fo DS-CDMA ss uph fg hs h popos pv

More information

Evaluation of Back-EMF Estimators for Sensorless Control of Permanent Magnet Synchronous Motors

Evaluation of Back-EMF Estimators for Sensorless Control of Permanent Magnet Synchronous Motors Ealuaton of Back-EMF Etmato fo Snol Contol of JPE -4- http://x.o.og/.63/jpe...4. Ealuaton of Back-EMF Etmato fo Snol Contol of Pmannt Magnt Synchonou Moto Kwang-Woon an Jung-Ik Ha Dpt. of Elctonc Eng.,

More information

Lecture 20: Minimum Spanning Trees (CLRS 23)

Lecture 20: Minimum Spanning Trees (CLRS 23) Ltur 0: Mnmum Spnnn Trs (CLRS 3) Jun, 00 Grps Lst tm w n (wt) rps (unrt/rt) n ntrou s rp voulry (vrtx,, r, pt, onnt omponnts,... ) W lso suss jny lst n jny mtrx rprsntton W wll us jny lst rprsntton unlss

More information

Optimum PSK Signal Mapping for Multi-Phase Binary-CDMA Systems

Optimum PSK Signal Mapping for Multi-Phase Binary-CDMA Systems Omum Sgnal Mappng fo Mult-Pha Bnay-CDMA Sytm Yong-Jn So and Yong-Hwan L Shool of Eltal Engnng and INMC Soul Natonal Unvty Kwanak P O Box 34 Soul 5-744 Koa -mal: yl@nuak Atat - Although th CDMA ytm an ffntly

More information

P a g e 5 1 of R e p o r t P B 4 / 0 9

P a g e 5 1 of R e p o r t P B 4 / 0 9 P a g e 5 1 of R e p o r t P B 4 / 0 9 J A R T a l s o c o n c l u d e d t h a t a l t h o u g h t h e i n t e n t o f N e l s o n s r e h a b i l i t a t i o n p l a n i s t o e n h a n c e c o n n e

More information

PF nce. Conferen. is, FRANC. ectronics Pari. ber 6-10, 2. ustrial Ele. Novemb. EEE Indu

PF nce. Conferen. is, FRANC. ectronics Pari. ber 6-10, 2. ustrial Ele. Novemb. EEE Indu Confn nc s, FRANC CE ctoncs 006 Pa ustal El b 6-0, EEE Indu Nomb 3 nd I Spd and Poston Estmaton fo PM Synchonous Moto usng Slf-Compnsatd t d Back-EMF k Obss Maco TURSINI, Robto PETRELLA, Alssa SCAFATI

More information

Electromagnetics: The Smith Chart (9-6)

Electromagnetics: The Smith Chart (9-6) Elctomagntcs: Th Smth Chat (9-6 Yoonchan Jong School of Elctcal Engnng, Soul Natonal Unvsty Tl: 8 (0 880 63, Fax: 8 (0 873 9953 Emal: yoonchan@snu.ac.k A Confomal Mappng ( Mappng btwn complx-valud vaabls:

More information

( V ) 0 in the above equation, but retained to keep the complete vector identity for V in equation.

( V ) 0 in the above equation, but retained to keep the complete vector identity for V in equation. Cuvlna Coodnats Outln:. Otogonal cuvlna coodnat systms. Dffntal opatos n otogonal cuvlna coodnat systms. Dvatvs of t unt vctos n otogonal cuvlna coodnat systms 4. Incompssbl N-S quatons n otogonal cuvlna

More information

Lecture 7 Diffusion. Our fluid equations that we developed before are: v t v mn t

Lecture 7 Diffusion. Our fluid equations that we developed before are: v t v mn t Cla ot fo EE6318/Phy 6383 Spg 001 Th doumt fo tutoal u oly ad may ot b opd o dtbutd outd of EE6318/Phy 6383 tu 7 Dffuo Ou flud quato that w dvlopd bfo a: f ( )+ v v m + v v M m v f P+ q E+ v B 13 1 4 34

More information

Diffraction. Diffraction: general Fresnel vs. Fraunhofer diffraction Several coherent oscillators Single-slit diffraction. Phys 322 Lecture 28

Diffraction. Diffraction: general Fresnel vs. Fraunhofer diffraction Several coherent oscillators Single-slit diffraction. Phys 322 Lecture 28 Chapt 10 Phys 3 Lctu 8 Dffacton Dffacton: gnal Fsnl vs. Faunhof dffacton Sval cohnt oscllatos Sngl-slt dffacton Dffacton Gmald, 1600s: dffacto, dvaton of lght fom lna popagaton Dffacton s a consqunc of

More information

An action with positive kinetic energy term for general relativity. T. Mei

An action with positive kinetic energy term for general relativity. T. Mei An ton wt post nt ny t fo n tty T (Dptnt of Jon Cnt Cn o Unsty Wn H PRO Pop s Rp of Cn E-: to@nn tow@pwn ) Astt: At fst w stt so sts n X: 7769 n tn sn post nt ny oont onton n y X: 7769 w psnt n ton wt

More information

Analytical Evaluation of Multicenter Nuclear Attraction Integrals for Slater-Type Orbitals Using Guseinov Rotation-Angular Function

Analytical Evaluation of Multicenter Nuclear Attraction Integrals for Slater-Type Orbitals Using Guseinov Rotation-Angular Function I. J. Cop. Mh. S Vo. 5 o. 7 39-3 Ay Evuo of Mu u Ao Ig fo S-yp O Ug Guov Roo-Agu uo Rz Y M Ag Dp of Mh uy of uo fo g A-Khj Uvy Kgo of Su A Dp of Mh uy of S o B Auh Uvy Kgo of Su A A. Ug h Guov oo-gu fuo

More information

Diffraction. Diffraction: general Fresnel vs. Fraunhofer diffraction Several coherent oscillators Single-slit diffraction. Phys 322 Lecture 28

Diffraction. Diffraction: general Fresnel vs. Fraunhofer diffraction Several coherent oscillators Single-slit diffraction. Phys 322 Lecture 28 Chapt 10 Phys 3 Lctu 8 Dffacton Dffacton: gnal Fsnl vs. Faunhof dffacton Sval cohnt oscllatos Sngl-slt dffacton Dffacton Gmald, 1600s: dffacto, dvaton of lght fom lna popagaton Dffacton s a consqunc of

More information

STRIPLINES. A stripline is a planar type transmission line which is well suited for microwave integrated circuitry and photolithographic fabrication.

STRIPLINES. A stripline is a planar type transmission line which is well suited for microwave integrated circuitry and photolithographic fabrication. STIPLINES A tiplin i a plana typ tanmiion lin hih i ll uitd fo mioav intgatd iuity and photolithogaphi faiation. It i uually ontutd y thing th nt onduto of idth, on a utat of thikn and thn oving ith anoth

More information

Analysis of Stresses and Strains in a Rotating Homogeneous Thermoelastic Circular Disk by using Finite Element Method

Analysis of Stresses and Strains in a Rotating Homogeneous Thermoelastic Circular Disk by using Finite Element Method Intnatonal Jounal of Comput Applcatons (0975 8887 Volum 35 No.3, Dcmb 0 Analyss of Stsss an Stans n a Rotatng Homognous Thmolastc Ccula Dsk by usng Fnt lmnt Mtho J. N. Shama Dpatmnt of Mathmatcs Natonal

More information

T h e C S E T I P r o j e c t

T h e C S E T I P r o j e c t T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T

More information

Homework 1: Solutions

Homework 1: Solutions Howo : Solutos No-a Fals supposto tst but passs scal tst lthouh -f th ta as slowss [S /V] vs t th appaac of laty alty th path alo whch slowss s to b tat to obta tavl ts ps o th ol paat S o V as a cosquc

More information

Nikon i-line Glass Series

Nikon i-line Glass Series Nkon ln la S ln la VNTS Nkon a an vlopmn of qualy maal a alway bn la o n fo ompany opal pou. Pon ky fao. van n la noloy pn upon pon, an a Nkon xl. Nkon ln la wa vlop fo u w ln ( nm) loapy un. I lv anman

More information

CHAPTER 3 KINEMATICS OF CYLINDRICAL ROLLER BEARING

CHAPTER 3 KINEMATICS OF CYLINDRICAL ROLLER BEARING 34 CHAPTER 3 KINEMATICS OF CYLINDRICAL ROLLER BEARING 3. CAGE AND ROLLER SPEED Th latv mtns f th ag spaat, th lls, an th as f ylnal llng lmnt bangs a mptant t unstan th pfman. Th latv vlts n a ball bang

More information

MODELING AND SIMULATION OF SENSORLESS CONTROL OF PMSM WITH LUENBERGER ROTOR POSITION OBSERVER AND SUI PID CONTROLLER

MODELING AND SIMULATION OF SENSORLESS CONTROL OF PMSM WITH LUENBERGER ROTOR POSITION OBSERVER AND SUI PID CONTROLLER Jounal of Elctcal Engnng www.j.o MODEING AND SIMUAION OF SENSORESS CONRO OF PMSM WIH UENBERGER ROOR POSIION OBSERVER AND SUI PID CONROER GHADA A. ABDE AZIZ, MOHAMED. I. ABU E- SEBAH, Elctonc Rsach Insttut,

More information

CIVL 7/ D Boundary Value Problems - Axisymmetric Elements 1/8

CIVL 7/ D Boundary Value Problems - Axisymmetric Elements 1/8 CIVL 7/8 -D Bounday Valu Poblms - xsymmtc Elmnts /8 xsymmtc poblms a somtms fd to as adally symmtc poblms. hy a gomtcally th-dmnsonal but mathmatcally only two-dmnsonal n th physcs of th poblm. In oth

More information

Description of Spectral Particle-in-Cell Codes from the UPIC Framework

Description of Spectral Particle-in-Cell Codes from the UPIC Framework Dspton of Sptal Patl-n-Cll Cods fom th UPIC Famwok Vkto K. Dyk Dpatmnt of Physs and Astonomy Unvsty of Calfona, Los Angls Los Angls, Calfona 90095-1547 I. Intoduton hs doumnt psnts th mathmatal foundaton

More information

A L A BA M A L A W R E V IE W

A L A BA M A L A W R E V IE W A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N

More information

ILSim A compact simulation tool for interferometric lithography

ILSim A compact simulation tool for interferometric lithography LSm A compact smulaton tool fo ntfomtc lthogaphy Yongfa an, Anatoly Bouov, Lna Zavyalova, Janmng Zhou, Anw stoff, al Laffty, Buc W. Smth Rochst nsttut of Tchnology, Mcolctonc ngnng Dpatmnt 8 Lomb Mmoal

More information

Massachusetts Institute of Technology Introduction to Plasma Physics

Massachusetts Institute of Technology Introduction to Plasma Physics Massachustts Insttut of Tchnology Intoducton to Plasma Physcs NAME 6.65J,8.63J,.6J R. Pak Dcmb 5 Fnal Eam :3-4:3 PM NOTES: Th a 8 pags to th am, plus on fomula sht. Mak su that you copy s complt. Each

More information

b.) v d =? Example 2 l = 50 m, D = 1.0 mm, E = 6 V, " = 1.72 #10 $8 % & m, and r = 0.5 % a.) R =? c.) V ab =? a.) R eq =?

b.) v d =? Example 2 l = 50 m, D = 1.0 mm, E = 6 V,  = 1.72 #10 $8 % & m, and r = 0.5 % a.) R =? c.) V ab =? a.) R eq =? xmpl : An 8-gug oppr wr hs nomnl mtr o. mm. Ths wr rrs onstnt urrnt o.67 A to W lmp. Th nsty o r ltrons s 8.5 x 8 ltrons pr u mtr. Fn th mgntu o. th urrnt nsty. th rt vloty xmpl D. mm,.67 A, n N 8.5" 8

More information

n gativ b ias to phap s 5 Q mou ntd ac oss a 50 Q co-a xial l, i t whn bias no t back-bia s d, so t hat p ow fl ow wi ll not b p ositiv. Th u s, if si

n gativ b ias to phap s 5 Q mou ntd ac oss a 50 Q co-a xial l, i t whn bias no t back-bia s d, so t hat p ow fl ow wi ll not b p ositiv. Th u s, if si DIOD E AND ITS APPLI AT C I O N: T h diod is a p-t p, y intin s ic, n-typ diod consis ting of a naow lay of p- typ smiconducto and a naow lay of n-typ smiconducto, wi th a thick gion of intins ic o b twn

More information

Creep damage evaluation of thick-walled spheres using a long-term creep constitutive model

Creep damage evaluation of thick-walled spheres using a long-term creep constitutive model Jounal of Mhanal Sn and Thnology (009) 577~58 Jounal of Mhanal Sn and Thnology www.spnglnk.om/ontnt/78-494x DOI 0.007/s06-009-06-x Cp damag valuaton of thk-walld sphs usng a long-tm p onsttutv modl Abbas

More information

SHELL CANADA PIPING AND INSTRUMENT DIAGRAM QUEST CCS PROJECT LEGENDS AND SYMBOLS QUEST CCS PROJECT UNIT COMMON "!!

SHELL CANADA PIPING AND INSTRUMENT DIAGRAM QUEST CCS PROJECT LEGENDS AND SYMBOLS QUEST CCS PROJECT UNIT COMMON !! .. 2 S 222... 2. SSU TON Y K PS S M P PM T S N QUST S POJT. S NON N N NSTUMNT M QUST S POJT S W NO.. 2... NT M T \\\2\WNS\UTTS\2\2..pid MO T22 PM Yahm 2. UNT 2 OMMON NS N SYMOS .. SSU T 2 2 2. TON Y K

More information

Extinction Ratio and Power Penalty

Extinction 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 information

Exam 2 Solutions. Jonathan Turner 4/2/2012. CS 542 Advanced Data Structures and Algorithms

Exam 2 Solutions. Jonathan Turner 4/2/2012. CS 542 Advanced Data Structures and Algorithms CS 542 Avn Dt Stutu n Alotm Exm 2 Soluton Jontn Tun 4/2/202. (5 ont) Con n oton on t tton t tutu n w t n t 2 no. Wt t mllt num o no tt t tton t tutu oul ontn. Exln you nw. Sn n mut n you o u t n t, t n

More information

K E L LY T H O M P S O N

K E L LY T H O M P S O N K E L LY T H O M P S O N S E A O LO G Y C R E ATO R, F O U N D E R, A N D PA R T N E R K e l l y T h o m p s o n i s t h e c r e a t o r, f o u n d e r, a n d p a r t n e r o f S e a o l o g y, a n e x

More information

International Journal on Recent and Innovation Trends in Computing and Communication ISSN: Volume: 2 Issue:

International Journal on Recent and Innovation Trends in Computing and Communication ISSN: Volume: 2 Issue: Intnational Jounal on Rnt and Innovation Tnds in Computing and Communiation ISSN: 2321-8169 Volum: 2 Issu: 6 1554 1559 Modl Rfn Adaptiv Systm (MRAS) Basd Spd Snsolss Vto Contol of Indution Moto Div P N

More information

Advanced Queueing Theory. M/G/1 Queueing Systems

Advanced Queueing Theory. M/G/1 Queueing Systems Advand Quung Thory Ths slds ar rad by Dr. Yh Huang of Gorg Mason Unvrsy. Sudns rgsrd n Dr. Huang's ourss a GMU an ma a sngl mahn-radabl opy and prn a sngl opy of ah sld for hr own rfrn, so long as ah sld

More information

The University of Sydney MATH 2009

The University of Sydney MATH 2009 T Unvrsty o Syny MATH 2009 APH THEOY Tutorl 7 Solutons 2004 1. Lt t sonnt plnr rp sown. Drw ts ul, n t ul o t ul ( ). Sow tt s sonnt plnr rp, tn s onnt. Du tt ( ) s not somorp to. ( ) A onnt rp s on n

More information

Optimum Maintenance of a System under two Types of Failure

Optimum Maintenance of a System under two Types of Failure ntnatonal Jounal o Matals & tutual lablty Vol.4, o., Mah 6, 7-37 ntnatonal Jounal o Matals & tutual lablty Otmum Mantnan o a ystm un two ys o alu.. Baía * an M.D. Ba Datmnt o tatsts, C... Unvsty o Zaagoza,

More information

Matched Quick Switching Variable Sampling System with Quick Switching Attribute Sampling System

Matched Quick Switching Variable Sampling System with Quick Switching Attribute Sampling System Natur and Sn 9;7( g v, t al, Samlng Systm Mathd Quk Swthng Varabl Samlng Systm wth Quk Swthng Attrbut Samlng Systm Srramahandran G.V, Palanvl.M Dartmnt of Mathmats, Dr.Mahalngam Collg of Engnrng and Thnology,

More information

Signal Circuit and Transistor Small-Signal Model

Signal Circuit and Transistor Small-Signal Model Snal cut an anto Sall-Snal Mol Lctu not: Sc. 5 Sa & Sth 6 th E: Sc. 5.5 & 6.7 Sa & Sth 5 th E: Sc. 4.6 & 5.6 F. Najaba EE65 Wnt 0 anto pl lopnt Ba & Snal Ba Snal only Ba Snal - Ba? MOS... : : S... MOS...

More information

Physics 111. Lecture 38 (Walker: ) Phase Change Latent Heat. May 6, The Three Basic Phases of Matter. Solid Liquid Gas

Physics 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 information

Fourier transforms (Chapter 15) Fourier integrals are generalizations of Fourier series. The series representation

Fourier 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 information

CERTAIN RESULTS ON TIGHTENED-NORMAL-TIGHTENED REPETITIVE DEFERRED SAMPLING SCHEME (TNTRDSS) INDEXED THROUGH BASIC QUALITY LEVELS

CERTAIN RESULTS ON TIGHTENED-NORMAL-TIGHTENED REPETITIVE DEFERRED SAMPLING SCHEME (TNTRDSS) INDEXED THROUGH BASIC QUALITY LEVELS Intnatonal Rsach Jounal of Engnng and Tchnology (IRJET) -ISSN: 2395-0056 Volum: 03 Issu: 02 Fb-2016 www.jt.nt p-issn: 2395-0072 CERTAIN RESULTS ON TIGHTENED-NORMAL-TIGHTENED REPETITIVE DEFERRED SAMPLING

More information

Handout 30. Optical Processes in Solids and the Dielectric Constant

Handout 30. Optical Processes in Solids and the Dielectric Constant Haut Otal Sl a th Dlt Ctat I th ltu yu wll la: La ut Ka-Kg lat Dlt tat l Itba a Itaba tbut t th lt tat l C 47 Sg 9 Faha Raa Cll Uty Chag Dl, Dl Mt, a lazat Dty A hag l t a gat a a t hag aat by ta: Q Q

More information

E F. and H v. or A r and F r are dual of each other.

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 information

ECCE-ASIA), pp ; 2014

ECCE-ASIA), pp ; 2014 NAOSITE: Naaak Uvty' A Ttl Autho() Ctato Stablty ompao of IPMSM o xt EMF Tuj, Mo; Mzuak, Hoh; Ha 4 Itatoal Pow Elto ECCE-ASIA), pp.393-398; 4 Iu Dat 4 URL Rht http://hl.hal.t/69/3559 4 IEEE. Poal u of

More information

6. Introduction to Transistor Amplifiers: Concepts and Small-Signal Model

6. Introduction to Transistor Amplifiers: Concepts and Small-Signal Model 6. ntoucton to anssto mples: oncepts an Small-Sgnal Moel Lectue notes: Sec. 5 Sea & Smth 6 th E: Sec. 5.4, 5.6 & 6.3-6.4 Sea & Smth 5 th E: Sec. 4.4, 4.6 & 5.3-5.4 EE 65, Wnte203, F. Najmaba Founaton o

More information

CHAPTER 13. Exercises. E13.1 The emitter current is given by the Shockley equation:

CHAPTER 13. Exercises. E13.1 The emitter current is given by the Shockley equation: HPT 3 xercses 3. The emtter current s gen by the Shockley equaton: S exp VT For operaton wth, we hae exp >> S >>, and we can wrte VT S exp VT Solng for, we hae 3. 0 6ln 78.4 mv 0 0.784 5 4.86 V VT ln 4

More information

9.4 Absorption and Dispersion

9.4 Absorption and Dispersion 9.4 Absoon and Dsson 9.4. loagn Wavs n Conduos un dnsy n a onduo ollowng Oh s law: J Th Maxwll s uaons n a onduo lna da should b: ρ B B B J To sly h suaon w agu ha h hag dsaas uly n a aoso od. Fo h onnuy

More information

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9 OH BOY! O h Boy!, was or igin a lly cr eat ed in F r en ch an d was a m a jor s u cc ess on t h e Fr en ch st a ge f or young au di enc es. It h a s b een s een by ap pr ox i ma t ely 175,000 sp ect at

More information

Economics 600: August, 2007 Dynamic Part: Problem Set 5. Problems on Differential Equations and Continuous Time Optimization

Economics 600: August, 2007 Dynamic Part: Problem Set 5. Problems on Differential Equations and Continuous Time Optimization THE UNIVERSITY OF MARYLAND COLLEGE PARK, MARYLAND Economcs 600: August, 007 Dynamc Part: Problm St 5 Problms on Dffrntal Equatons and Contnuous Tm Optmzaton Quston Solv th followng two dffrntal quatons.

More information

GTAP Eleventh Annual Conference, 2008 "Future of Global Economy" Helsinki

GTAP Eleventh Annual Conference, 2008 Future of Global Economy Helsinki GTAP Elvth Aual Cof, 28 "Futu of Global Eooy" lsk SAM laboato as a ultobtv austt pobl Casao Maqu Laa Pñat Dpto Aálss Eoóo Aplao Uvsa Las Palas Ga Caaa (Spa aqu@aa.ulpg.s Dolos R. Satos-Pñat Dpto Métoos

More information

The Random Phase Approximation:

The Random Phase Approximation: Th Random Phas Appoxmaton: Elctolyts, Polym Solutons and Polylctolyts I. Why chagd systms a so mpotant: thy a wat solubl. A. bology B. nvonmntally-fndly polym pocssng II. Elctolyt solutons standad dvaton

More information

Formula overview. Halit Eroglu, 04/2014 With the base formula the following fundamental constants and significant physical parameters were derived.

Formula overview. Halit Eroglu, 04/2014 With the base formula the following fundamental constants and significant physical parameters were derived. Foula ovviw Halit Eolu, 0/0 With th bas foula th followin fundantal onstants and sinifiant physial paats w divd. aiabl usd: Spd of liht G Gavitational onstant h lank onstant α Fin stutu onstant h dud lank

More information

Bethe-Salpeter Equation Green s Function and the Bethe-Salpeter Equation for Effective Interaction in the Ladder Approximation

Bethe-Salpeter Equation Green s Function and the Bethe-Salpeter Equation for Effective Interaction in the Ladder Approximation Bh-Salp Equaon n s Funcon and h Bh-Salp Equaon fo Effcv Inacon n h Ladd Appoxmaon Csa A. Z. Vasconcllos Insuo d Físca-UFRS - upo: Físca d Hadons Sngl-Pacl Popagao. Dagam xpanson of popagao. W consd as

More information

Week 11: Differential Amplifiers

Week 11: Differential Amplifiers ELE 0A Electronc rcuts Week : Dfferental Amplfers Lecture - Large sgnal analyss Topcs to coer A analyss Half-crcut analyss eadng Assgnment: hap 5.-5.8 of Jaeger and Blalock or hap 7. - 7.3, of Sedra and

More information

SHT 1 OF 3 SHT 2 AND 3 ARE -A- SIZE

SHT 1 OF 3 SHT 2 AND 3 ARE -A- SIZE 0 SH NO TYP O MOL NXT SSMLY QTY PT NUM SIPTION O MTIL ITM 00 MIN ION SOL SI K-O ION SOL SI X X 0 Y U T 0 U OM O SSY 0-0-0 V SHM 0-0-00 U U 0 O J X U 0 0 X S TIL V T 0 V U U J L U L MH U U V U0 0 U U U

More information

Unit 3: Transistor at Low Frequencies

Unit 3: Transistor at Low Frequencies Unt 3: Tansst at Lw Fquncs JT Tansst Mdlng mdl s an qualnt ccut that psnts th chaactstcs f th tansst. mdl uss ccut lmnts that appxmat th ha f th tansst. Th a tw mdls cmmnly usd n small sgnal analyss f

More information

SCALARS AND VECTORS All physical quantities in engineering mechanics are measured using either scalars or vectors.

SCALARS AND VECTORS All physical quantities in engineering mechanics are measured using either scalars or vectors. SCALARS AND ECTORS All phscal uanttes n engneerng mechancs are measured usng ether scalars or vectors. Scalar. A scalar s an postve or negatve phscal uantt that can be completel specfed b ts magntude.

More information

EE750 Advanced Engineering Electromagnetics Lecture 17

EE750 Advanced Engineering Electromagnetics Lecture 17 EE75 Avan Engnrng Eltromagnt Ltur 7 D EM W onr a D ffrntal quaton of th form α α β f ut to p on Γ α α. n γ q on Γ whr Γ Γ Γ th ontour nlong th oman an n th unt outwar normal ot that th ounar onton ma a

More information

FEATURES Support multi-language OSD. PM70Support IR remote control. System auto recovery after power reconnected. Support daylight saving function

FEATURES Support multi-language OSD. PM70Support IR remote control. System auto recovery after power reconnected. Support daylight saving function onsider it secured T 16 H PG-4 TNLN V FTU upport multi-language P70upport remote control ystem auto recovery after power reconnected upport remote control, PTZ camera operations through -485, and PTZ Hot

More information

CHAPTER IV RESULTS. Grade One Test Results. The first graders took two different sets of pretests and posttests, one at the first

CHAPTER IV RESULTS. Grade One Test Results. The first graders took two different sets of pretests and posttests, one at the first 33 CHAPTER IV RESULTS Gad On Tst Rsults Th fist gads tk tw diffnt sts f ptsts and psttsts, n at th fist gad lvl and n at th snd gad lvl. As displayd n Figu 4.1, n th fist gad lvl ptst th tatmnt gup had

More information

A New Bargaining Game Model for Measuring Performance of Two-Stage Network Structures

A New Bargaining Game Model for Measuring Performance of Two-Stage Network Structures Int. J. Rsach n Inustal Engnng, pp. 7-39 Volu, Nub, 0 Intnatonal Jounal of Rsach n Inustal Engnng ounal hopag: www.nvlscnc.co/nx.php/ A Nw Baganng Ga Mol fo Masung Pfoanc of Two-tag Ntwok tuctus F. Hossnzah

More information

Divided. diamonds. Mimic the look of facets in a bracelet that s deceptively deep RIGHT-ANGLE WEAVE. designed by Peggy Brinkman Matteliano

Divided. diamonds. Mimic the look of facets in a bracelet that s deceptively deep RIGHT-ANGLE WEAVE. designed by Peggy Brinkman Matteliano RIGHT-ANGLE WEAVE Dv mons Mm t look o ts n rlt tt s ptvly p sn y Py Brnkmn Mttlno Dv your mons nto trnls o two or our olors. FCT-SCON0216_BNB66 2012 Klm Pulsn Co. Ts mtrl my not rprou n ny orm wtout prmsson

More information

0# E % D 0 D - C AB

0# E % D 0 D - C AB 5-70,- 393 %& 44 03& / / %0& / / 405 4 90//7-90/8/3 ) /7 0% 0 - @AB 5? 07 5 >0< 98 % =< < ; 98 07 &? % B % - G %0A 0@ % F0 % 08 403 08 M3 @ K0 J? F0 4< - G @ I 0 QR 4 @ 8 >5 5 % 08 OF0 80P 0O 0N 0@ 80SP

More information

Grid Transformations for CFD Calculations

Grid Transformations for CFD Calculations Coll of Ennn an Comput Scnc Mchancal Ennn Dpatmnt ME 69 Computatonal lu Dnamcs Spn Tct: 5754 Instuct: La Catto Intoucton G Tansfmatons f CD Calculatons W want to ca out ou CD analss n altnatv conat sstms.

More information

PH672 WINTER Problem Set #1. Hint: The tight-binding band function for an fcc crystal is [ ] (a) The tight-binding Hamiltonian (8.

PH672 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 information

ESCI 341 Atmospheric Thermodynamics Lesson 16 Pseudoadiabatic Processes Dr. DeCaria

ESCI 341 Atmospheric Thermodynamics Lesson 16 Pseudoadiabatic Processes Dr. DeCaria ESCI 34 Atmohi hmoynami on 6 Puoaiabati Po D DCaia fn: Man, A an FE obitaill, 97: A omaion of th uialnt otntial tmatu an th tati ngy, J Atmo Si, 7, 37-39 Btt, AK, 974: Futh ommnt on A omaion of th uialnt

More information

Q Q N, V, e, Quantum Statistics for Ideal Gas. The Canonical Ensemble 10/12/2009. Physics 4362, Lecture #19. Dr. Peter Kroll

Q 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 information

SHELL CANADA PIPING AND INSTRUMENT DIAGRAM UNIT REGENERATION/COMMON LEAN / RICH AMINE EXCHANGER QUEST CCS PROJECT QUEST CCS PROJECT CONSTRUCTION

SHELL CANADA PIPING AND INSTRUMENT DIAGRAM UNIT REGENERATION/COMMON LEAN / RICH AMINE EXCHANGER QUEST CCS PROJECT QUEST CCS PROJECT CONSTRUCTION ). M 5 34 34..... / / / /......... / / / / / / / / / /. /.... 66...... / /... SSU T SPTON SHLL N NOTS: G Y K P S QUST S POJT M P PM LNT SL: NON NG N NSTUMNT GM QUST S POJT SHLL WG NO.:. 46...4.. 46. L:\\:\5\WNGS\O\46\46..pid

More information

(8) Gain Stage and Simple Output Stage

(8) Gain Stage and Simple Output Stage EEEB23 Electoncs Analyss & Desgn (8) Gan Stage and Smple Output Stage Leanng Outcome Able to: Analyze an example of a gan stage and output stage of a multstage amplfe. efeence: Neamen, Chapte 11 8.0) ntoducton

More information

ANALOG ELECTRONICS I. Transistor Amplifiers DR NORLAILI MOHD NOH

ANALOG ELECTRONICS I. Transistor Amplifiers DR NORLAILI MOHD NOH 241 ANALO LTRONI I Lectures 2&3 ngle Transstor Amplfers R NORLAILI MOH NOH 3.3 Basc ngle-transstor Amplfer tages 3 dfferent confguratons : 1. ommon-emtter ommon-source Ib B R I d I c o R o gnal appled

More information

An Interactive Intuitionistic Fuzzy Non-Linear Fractional Programming Problem

An Interactive Intuitionistic Fuzzy Non-Linear Fractional Programming Problem o ou of pp gg R SSN - Voum Num pp - R uo p:wwwpuoom v uo uzz No- o ogmmg om zz m pm of Mm u of S w v o gp O : --- T pp vop w v mo fo ovg o fo pogmmg pom o uo fuzz o v mo f o m M pf g of - v m-m pom ov

More information

Chapter 5 Transmission Lines

Chapter 5 Transmission Lines ap 5 ao 5- aacc of ao ao l: a o cou ca cu o uppo a M av c M o qua-m o. Fo M o a H M H a M a µ M. cu a M av av ff caacc. A M av popaa o ff lcc a paal flco a paal ao ll occu. A ob follo ul. ll la: p a β

More information

19 The Born-Oppenheimer Approximation

19 The Born-Oppenheimer Approximation 9 The Bon-Oppenheme Appoxmaton The full nonelatvstc Hamltonan fo a molecule s gven by (n a.u.) Ĥ = A M A A A, Z A + A + >j j (883) Lets ewte the Hamltonan to emphasze the goal as Ĥ = + A A A, >j j M A

More information

4/12/2018. PHY 712 Electrodynamics 9-9:50 AM MWF Olin 105. Plan for Lecture 34: Review radiating systems

4/12/2018. PHY 712 Electrodynamics 9-9:50 AM MWF Olin 105. Plan for Lecture 34: Review radiating systems PHY 7 Eodynams 9-9:5 M MWF On 5 Pan o u : Rvw adang sysms Souon o Maxw s quaons wh sous Tm pod sous Examps //8 PHY 7 Spng 8 -- u //8 PHY 7 Spng 8 -- u Gna vw -- SI uns mosop o vauum om ( P M ): Couombs

More information

EFFICIENCY OPTIMIZATION OF INDUCTION MOTOR DRIVES

EFFICIENCY OPTIMIZATION OF INDUCTION MOTOR DRIVES Naučno-stučn spozju Engtska fkasnost ENEF 03, Banja Luka,. 3. novba 03. gon Ra po pozvu EFFICIENCY OPIMIZAION OF INUCION MOOR RIVES Banko Blanuša, Faculty of Elctcal Engnng, Rpublka Spska, Bosna an Hzgovna

More information

Q Q N, V, e, Quantum Statistics for Ideal Gas and Black Body Radiation. The Canonical Ensemble

Q 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 information

T h e C e n t r e f o r U l t r a h i g h b a n d w i d t h D e v i c e s f o r O p t i c a l S y s t e m s ( C U D O S )

T h e C e n t r e f o r U l t r a h i g h b a n d w i d t h D e v i c e s f o r O p t i c a l S y s t e m s ( C U D O S ) T h f U h g h b w h D v f O p S y ( U D O S ) A N N U A R E P O R T 2006 54 Dg 2006 UDOS b g p p g f f b wh h A y. Nw hf Ivg UDOS gh w D A Mh f h M M Thgy RMIT Uvy hf Ivg. Wh RMIT w fy j h b 2008, A y

More information

Controller Design for Networked Control Systems in Multiple-packet Transmission with Random Delays

Controller Design for Networked Control Systems in Multiple-packet Transmission with Random Delays Appled Mehans and Materals Onlne: 03-0- ISSN: 66-748, Vols. 78-80, pp 60-604 do:0.408/www.sentf.net/amm.78-80.60 03 rans eh Publatons, Swtzerland H Controller Desgn for Networed Control Systems n Multple-paet

More information