PSS Tuning of the Combined Cycle Power Station by Neural Network
|
|
- Matthew Simon
- 5 years ago
- Views:
Transcription
1 Procngs of h Worl Congrss on Engnrng an Compur Scnc 7 WCECS 7, Ocobr 46, 7, San Francsco, USA PSS Tunng of h Combn Cycl Powr Saon by Nural Nwork E. L. F. Danl, F. M. F. Souza, J. N. R. a Slva Jr, J. A. o Nascmno, J. C. T. Campos, M. Falcucc an L. H. S. C. Barro Absrac Ths papr prsns a paramr molng o Powr Sysm Sablzrs (PSS) usng MLP an RBF nural nworks. Th applcaon of nural nworks n PSS ams o mprov h ynamc sably of lcrc powr sysms by rucng h machn lromchanc ampng oscllaon whn a surbanc occurs. Accorng o h currn plan oprang conons, h PSS paramrs ar auomacally ajus by h nural nwork n sns o gv a sasfacory conrol. Th obsrv prformanc for h propos approach s s n smulaons, usng a nonlnar ynamc mol of nfn bus machnyp. Th rsuls show ha s possbl o mprov h powr sysm ynamc prformanc wh h nw molng. In Trms Combn Cycl Plans, Dynamc Sably, Powr Sysm Sablzr, PSS, RBF, MLP. I. INTRODUCTION Th lcromchancal oscllaons of low fruncy, whn baly amp, hy ar harmful o h lcrcal sysm, bcaus ha hy can caus h loss of synchronsm of h gnraors. Th us of Powr Sysm Sablzrs (PSS) for h mprovmn of h ynamc sably of h powr sysms has rcv bggr anon n h las yars []. Th ajusmns of h paramrs us n hs conrollrs ar rmn hrough a lnar mol of h sysm aroun a nomnal opraon pon. Howvr, h prformanc of h convnonal PSS gras whn a chang n s opraon pon occurs []. Som chnus such as aap conrol hav bn proposals as soluon of h problm [5], [6]. Howvr, h mos of aap conrols s bas on paramrs nfcaon on h sysm mol n ral m, bu consums much m. Robus conrol chnus, fuzzy logc an PSS sgn bas on Lyapunov also ar ohr alrnavs o ra h problm [7], [8], [9]. Howvr, hr rsponss ar slow an ral m applcaons ar lm. E. L. F. Danl (warlnnon@gmal.com), F. M. F. Souza (francsmarry@yahoo.com.br), J. N. R. a Slva Jr (nlorjunor@yahoo.com.br), J. A. o Nascmno (alma@.ufc.br), J. C. T. Campos (ls@ufc.br), L. H. S. C. Barro (lbarro@.ufc.br) ar wh h Elcrcal Engnrng Dparmn, Fral Unvrsy of Cará, Foralza CE, ZIP , Posal Co 6, BRA. M. Falcucc (mal: mfalcucc@nsabr.com.br) s wh h Foralza Thrmolcrc Cnral Gnraon (CGTFENDESA), Caucaa CE, ZIP 66, Posal Co 7, BRA. In hs papr wo molng forms for PSS s paramrs usng nural nworks ar proposals: MLP Mul Layr Prcpron an RBF Raal Bass Funcon. Th us of a nural nwork for paramrs ajusmn bcoms possbl h praccal mplmnaon of h mho an h paramrs auacy for ffrn opraon pons. Th nural nwork avanag s n h vrs of opraons pons snc opras wh nac aa an no oal fn suaons. II. SYSTEM S DESCRIPTION Th man for nrgy gnraon n o h consumpon plac coms growng smula by h publc an govrnmnal prssur for h nrgy mar vrsfcaon, currnly cnr n h hyraulc gnraon. Th ncnv for nw lcrc nrgy gnraon sourcs conrbu o ncras h us of h naural gas. Th hrmolcrc plans ar bnf by h combn cycl chnology ha br us h naural gas avanag an consunly o ncras h ncom of hm. A combn cycl hrmolcrc plan has assocas o h sam plan gas urbns an sam urbn gnrang lcrc nrgy. Th hrmolcrc n suy possss an nsall powr of 3,7MW, bng compos for: () wo gas urbns, ach on wh nomnal powr of,8mw, () on sam urbn wh nomnal powr of 3,MW, () wo bolrs of ha rcovry, (I) wo gnraors of 33,8MA an (v) a gnraor wh nomnal powr of 47MA. Th procss s na wh amosphrc ar bng suck for h combuson urbns comprssors. Ar s abl, m wh h naural gas, an afr ha hs mur s burn. Ths procss orgnas gass wh hgh mpraurs an prssurs ha ar sn for h rsponsbl urbn for convrng h hrmal nrgy no mchancs. Th connc lcrc gnraor o h urbn s al convrs h nrgy mchancs no lcrc. Th procss, unl hs sag, s characrz as smpl cycl nrgy gnraon. Afr h panson of h gass, hy ar sn for h rcovry bolrs, whr wll ak avanag h ha of h ho gass procng from h gas urbns o gnra h vapor ha wll pu no moon h sam urbn. Whn lavng h urbn, h sam s conns an rurns for h rcovry bolrs, closng h cycl. Ths urbn convrs h sor nrgy no h sam n hgh prssur an mpraur n roaon nrgy, whch s ransform no lcrc nrgy for ISBN: WCECS 7
2 Procngs of h Worl Congrss on Engnrng an Compur Scnc 7 WCECS 7, Ocobr 46, 7, San Francsco, USA h gnraor. Fg. rprsns h machn of smplf form. Th volag rgulaor conrols h gnraor s caon sysm so ha h gnra volag an h racv powr vary h sr on n accoranc wh. Th purpos of h Sablzr s o us h gnraor s caon sysm br o rgula h powr oscllaons, ncrasng h gnraor s sably an mprovng h ransmsson sysm as a whol []. Th PSS opras by gnraor s rgulaor of volag, nfluncng s ajusmn pon. Th consans 4, 5 an 6 rprsn rspcvly: h magnz ffc of a roor angl varaon δ, wh consan volag fl E FD ; h rmnal volag varaon T for a roor angl varaon, wh flow concana n h rc consan al an h rmnal volag varaon wh h varaon of, for consan roor angl. Δ 4 E f c 3 (4) Ecaon Sysm Rgulaor Sablzr ( )[( ) snγ R cosγ ]} Turbn Saor Δ Δ δ Toru Fg.. Machn s rprsnaon n block agrams. Δ 5 c { [ R cosγ ( )... (5) III. CONENTIONAL MODELING OF PARAMETERS Th sablzr s paramrs ar ajus makng us of h lnar mol of 3 r orr foun n lraur an shown n Fg.. Th mol s bas on a machn connc on an nfn bus hrough uvaln mpanc aroun a f pon of opraon []. Through hs convnonal mol h paramrs for vrs opraon pons ar gon, ha wll form a nonlnar s o b us as bas for ranng of h nural nworks n h boarng proposal n hs work. Th mol s uaons ar prss n funcon of h consans o 6. Th Euaon () rprsns h lcrc oru varaon, T E, for a varaon δ n h roor s angl, wh flow concana n h rc consan al,. ΔT c Rsn I { [ δ ( )cos γ] I sn R ( )[( ) γ cos Th Euaon () prss h lcrc oru varaon T E for a varaon of h flow concana n h rc al, wh angl of h consan roor δ. ΔT δ c Δ { R I[ R ( ) Th followng rm, n (3), rprsns h mpanc facor. 3 ]} () () [ ( )( )] (3) γ]}... snγ ]} ( Δ 6 c Δ δ [ ( ) cosγ R snγ )] R (6) [ R ( )( ] (7) Bng: nfn bus volag. volag ha fns h al poson an ha suppls h oru angl nal valu. δ nal oru angl. rc al racanc. rc al ransory racanc. uaraur al racanc. uaraur al ransory racanc. crcu s propr racanc of h roor s ron. γ amanc angl srs uvaln lss h oru angl. I currn componn n h uaraur al. rmnal volag s componn of h gnraor n h uaraur al n h machn s rfrnc. rmnal volag s componn of h gnraor n h rc al a machn s rfrnc. ISBN: WCECS 7
3 Procngs of h Worl Congrss on Engnrng an Compur Scnc 7 WCECS 7, Ocobr 46, 7, San Francsco, USA gnraor s rmnal volag n prmann rgmn (absolu valu). ΔT m 3 s 3To ΔE f Δ Hs s Δ δ Fg.. Machn nfn bus blocks agram. 5 Δ (P) an racv powr (Q) an h oupus ar h PSS s paramrs. Th aanmn of hs aa was gav hrough h sablzr s convnonal mol, as shown n Fg. 3. Tabl. Daa of nranc of h nural ns. Inpus Oupus P Q T T I. POWER SYSTEM STABILIZER A Powr Sysms Sablzr (PSS) s an lmn, or group of lmns, ha suppls an aonal npu o h rgulaor o mprov h powr sysms ynamc prformanc. Th man funcon of h cononal sgnal o h PSS s n s o compnsa h sysm s lay o b conroll [9]. Th phas compnsaon s ralz hrough by h us of funcons lalag ha suppls phas avanc on h scal of nrs fruncy. Th agram of Fg. 3 rprsns h sablzr. Th frs block rprsns gan, h scon block s a flr washou o lmna rrors n h npu sgnal, an h hr block s a crcu lalag wh m consans T an T. w rf Fg. 3. PSS s blocks Dagram. Tabl rprsns h aa ha wll b us as bas for nural nwork s ranng. Th npus mnon h acv powr E f. MODELING BY NEURAL NETWORS Two algorhms ha bn mplmn, Nural Nwork RBF, ha s compos for an hn layr an a oupu layr, an h Nural N MLP, ha possss wo hn layrs. Th savanag of us a sablzr s convnonal mol ar n h fac of h paramrs ajusmn o b lm o only on opraon pon, wh jus sablsh fruncy, wha can bcom an nffcn ampng ou of hs pon. Th RBF mplmnaon s compos for a hn an oupu layr. Dffrnly of h MLP, whr ach nuron fns a sparaon plan [3], h RBF fns on crcl n h npu spac hrough a Gaussan funcon. Anohr ffrnc bwn hs ns s h fac of h MLP o us nrnal proucs, whl h RBF uss sancs. In h vlop n, wh ach npu aa has bn assoca a spcfc cnr. In hn nuron acvaon s rmn by a nonlnar funcon of h sanc bwn h npu vcor an a rfrnc vcor. Th RBF has a smpl archcur, conssng wo layrs of wghs (W E an W S ), whr h frs on conans h raal bass funcons paramrs an h scon form lnar combnaons of h funcon s raal bas acvaons o gnra h oupu [4]. I s ran n wo pros, wh h funcons of raal bas bng rmn frs for nosuprvs chnus, usng for ISBN: WCECS 7
4 Procngs of h Worl Congrss on Engnrng an Compur Scnc 7 WCECS 7, Ocobr 46, 7, San Francsco, USA npu aa an h scon layr (wghs), bng lar rmn for suprvs lnar mhos (lnar funcon), of fas convrgnc. Th analyz nural nworks ar compos for h npus an oupus n accoranc wh Tabl. Th nural nwork paramr ajusmn s shown n Fg. 4. avanag n o us h paramrs ajusmn usng nural nworks for h bggs ampng, n rmn of h paramrs gon hrough h convnonal mol. Tabl. Nural nwork s valaon aa. INPUT OUTPUT MLP OUTPUT RBF P Q T T T T Fg. 4. Sysm s blocks agram wh h nural nwork s ncluson. 8,5 5,8 3,,3 Dsgn Paramrs Usful Tunng Paramrs Whou PSS Th of nural nwork s nrpolaon capacy s a usful characrsc o h ra problm, onc ha h abl us o sor h paramrs valus T an T n ffrn pons opraon woul b nsv u o nfny of pons sua bwn wo pons. Ths nural nworks ably has bcom hm usful for h molng of nonlnar sysms. Snc h s of opraons pons foun n Tabl s nonlnar. Th nural nworks mos sgnfcan characrsc s h ably o approach any connus nonlnar funcon of a sr corrcon gr. I. RESULTS AND DISCUSSION Th machn s mahmacal mol an h conrollrs was ncorpora o h program Transory Analyss Elcromchancal (ANATEM), n whch smulaons ha bn carr hrough ha ha srv for h aabas composon us n h ranng an nural nworks valaon. Nural nworks MLP an RBF ha bn projc for convrgnc wh mamum rror of.. Th MLP prsn convrgnc n raons an h RBF n 8 raons. Th aa gon for h ns ar n Tabl. I was appl a sp of % n h loa an smula h sysm n hr suaons was appl Fg. 5: () whou h sablzr, () usng h sablzr ajus n fl an () usng h sablzr wh projc paramrs. As can b vrf by h curvs, h sysm whou h sablzr s vry oscllaory, wha can ak h loss of machn s synchronsm. Wh h PSS can b obsrv h 97,5 94,8 9, 7,8 8,5 9, 9,9,6,3, Tm (s) Fg. 5. Comparson bwn fl valus an calcula for % of loa. 96,5 94,9 93,3 9,8 9, 88,6 87, Nural Nwork Tunng F Paramrs 7,8 8,5 9, 9,9,6,3, Tm (s) Fg. 6. Comparson bwn nural nwork unng an calcula f paramrs for % of loa appl n 9%. 55, 53,83 5,67 5,5 5,33 49,7 48, F Paramrs Nural Nwork Tunng 7,8 8,5 9, 9,9,6,3, Tm (s) Fg. 7. Comparson bwn nural nwork unng an calcula f paramrs for % of loa appl n 5%. Fgurs 6 an 7 show h unng nflunc for wo opraon pons. As h calcula f paramr for nomnal powr movs away from h sam on, h paramrs unng for h nural nworks bcoms mor mporan. ISBN: WCECS 7
5 Procngs of h Worl Congrss on Engnrng an Compur Scnc 7 WCECS 7, Ocobr 46, 7, San Francsco, USA 6,5 59,8 57,67 56,5 54,83 53,4 5, F Paramrs 7,8 8,5 9, 9,9,6,3, Tm (s) Fg. 8. Comparson bwn MLP an RBF unng an calcula f paramrs for % of loa appl n 55%. capabl conrollrs aanmn of auomacally aap h ffrn opraon pons, wha vlop h oscllaons ampng. Th smulaons ha provn ha h ampng of h ajus machn for f paramrs spols as soon as opraon conon movs away from h sablsh opraon pon. In comparson, h nural nworks ha prsn goo aa rapolaon, hrfor clln valus for h paramrs ha bn foun whn a loa of % o h sysm was appl. Fgurs 8, 9 an us h unng of Tabl n h MLP an RBF valaon propos, bcaus h pons ar ou of h s of ranng an show h capacy of h ns n nrpolang an surpassng gvn.,3 99,8 98,3 96,8 95, 93,7 9, F Paramrs 8, 8,3 8,5 8,8 9, 9,3 9,5 Tm (s) Fg. 9 Comparson bwn nural nworks unng MLP an RBF an calcula f paramrs for % of loa appl n 95%. 8,5 5,6,7 9,8 6,8 3,9, Whou PSS 7,8 9,5,,9 4,6 6,3 8, Tm (s) Fg. Comparson bwn MLP an RBF unng an sysm whou ESP appl n %. ACNOWLEDGMENT Th auhors hank h Foralza Thrmolcrc Powr plan CGTF, company of h ENDESA group, o h Naonal Avc Scnfc an Tchnologcal Dvlopmn CNP, h Supror Lvl Prfcon Coornaon Saff CAPES an h Rsarch Suppor Founaon FUNCAP for h suppor chncan an fnancng h rsarch. REFERENCES [] P. M. Anrson A. A. Foua, (994) Powr Sysm Conrol an Sably, IEEE, Nw York. [] P. unur, (994) Powr Sysm Sably an Conrol, McGrawHll, Nw York. [3] A. M. Sharaf, T. T. L H. B. Goo, (993) Nural Nwork Bas Powr Sysm Sablzrs, IEEE Trans. PWRS, pp [4] M. A. Abo Y. L. AblMag, (997) Raal Bass Funcon Nwork Bas Powr Sysm Sablzrs for Mulmachn Powr Sysms, IEEE Trans PWRS, pp [5] A. Ghanra, O. P. Malk G.S. Hop, (988) A slfunng conrollr for h conrol of mulmachn powr sysms, IEEE Trans. PWRS, vol. 3, no. 3, pp [6] D. Xa G. T. Hy, (983) Slfunng conrollr for gnraor caon conrol, IEEE Trans. PAS, vol., pp [7] A. Swarcwcz. WróblwskaSwarcwcz, () Robus Powr Sysm Sablzr, IEEE Poro Powr Tch Confrnc, pp , Poro. [8] N. S. D. Arrfano,. A. Olvra R. A. Ramos, (4) Dsgn an Applcaon of Fuzzy PSS for Powr Sysms Subjc o Ranom Abrup araons of h Loa, Amrcan Conrol Confrnc, ol II, pp. 859, Boson. [9] S. Robak, J. W. Balk J. Machowsk, () Comparson of ffrn conrol srucurs for lyapunovbas powr sysm sablzr, IEEE Powr Inusry Compur Applcaons, pp. 934, Balmor. II. CONCLUSION Th soluons ha prsn sasfacory rsul. Howvr, h carr hrough ss ha shown ha h RBF applcaon convrg mor uckly han h carr hrough wh h MLP. Th Gaussans unng cnrs o ach npu of h s ranng bcam h sysm convrgnc fass. Wh only 8 raons for h ajusmns h aanmn of a suffcnly ncssary approach was possbl. Th man avanag obsrv wh h us of nural nworks n h paramrs molng of h PSS was h ISBN: WCECS 7
Conventional Hot-Wire Anemometer
Convnonal Ho-Wr Anmomr cro Ho Wr Avanag much mallr prob z mm o µm br paal roluon array o h nor hghr rquncy rpon lowr co prormanc/co abrcaon roc I µm lghly op p layr 8µm havly boron op ch op layr abrcaon
More informationConsider a system of 2 simultaneous first order linear equations
Soluon of sysms of frs ordr lnar quaons onsdr a sysm of smulanous frs ordr lnar quaons a b c d I has h alrna mar-vcor rprsnaon a b c d Or, n shorhand A, f A s alrady known from con W know ha h abov sysm
More informationJoint State and Parameter Estimation by Extended Kalman Filter (EKF) technique
Inrnaonal Journal o Engnrng Rsarch an Dvlopmn -ISSN: 78-67 p-issn: 78-8 www.jr.com Volum Issu 8 (Augus 5.4-5 Jon Sa an aramr Esmaon by En alman Flr (EF chnu S. Damoharao.S.L.V. Ayyarao G Sun Dp. o EEE
More informationNode Placement and Mobility Control in Mobile Wireless Sensor Networks
Prprns of h 18h IFAC Worl Congrss o Placmn an Mobly Conrol n Mobl Wrlss Snsor works Mnchol Km an Song-Lyun Km School of Elcrcal an Elcronc Engnrng, Yons Unvrsy, 50 Yons-ro, Soamun-gu, Soul 120-749, Kora
More informationCHAPTER-2. S.No Name of the Sub-Title No. 2.5 Use of Modified Heffron Phillip's model in Multi- Machine Systems 32
9 HAPT- hapr : MODIFID HFFON PHILLIP MODL.No Nam of h ub-tl Pag No.. Inroucon..3 Mollng of Powr ym Hffron Phllp Mol.4 Mof Hffron Phllp Mol 7.5 U of Mof Hffron Phllp mol n Mul- Machn ym 3 HAPT-.. Inroucon
More informationChapter 7 Stead St y- ate Errors
Char 7 Say-Sa rror Inroucon Conrol ym analy an gn cfcaon a. rann ron b. Sably c. Say-a rror fnon of ay-a rror : u c a whr u : nu, c: ouu Val only for abl ym chck ym ably fr! nu for ay-a a nu analy U o
More informationEE243 Advanced Electromagnetic Theory Lec # 10: Poynting s Theorem, Time- Harmonic EM Fields
Appl M Fall 6 Nuruhr Lcur # r 9/6/6 4 Avanc lcromagnc Thory Lc # : Poynng s Thorm Tm- armonc M Fls Poynng s Thorm Consrvaon o nrgy an momnum Poynng s Thorm or Lnar sprsv Ma Poynng s Thorm or Tm-armonc
More informationState Observer Design
Sa Obsrvr Dsgn A. Khak Sdgh Conrol Sysms Group Faculy of Elcrcal and Compur Engnrng K. N. Toos Unvrsy of Tchnology Fbruary 2009 1 Problm Formulaon A ky assumpon n gnvalu assgnmn and sablzng sysms usng
More informationLecture 4 : Backpropagation Algorithm. Prof. Seul Jung ( Intelligent Systems and Emotional Engineering Laboratory) Chungnam National University
Lcur 4 : Bacpropagaon Algorhm Pro. Sul Jung Inllgn Sm and moonal ngnrng Laboraor Chungnam Naonal Unvr Inroducon o Bacpropagaon algorhm 969 Mn and Papr aac. 980 Parr and Wrbo dcovrd bac propagaon algorhm.
More informationSummary: Solving a Homogeneous System of Two Linear First Order Equations in Two Unknowns
Summary: Solvng a Homognous Sysm of Two Lnar Frs Ordr Equaons n Two Unknowns Gvn: A Frs fnd h wo gnvalus, r, and hr rspcv corrspondng gnvcors, k, of h coffcn mar A Dpndng on h gnvalus and gnvcors, h gnral
More informationSupplementary Figure 1. Experiment and simulation with finite qudit. anharmonicity. (a), Experimental data taken after a 60 ns three-tone pulse.
Supplmnar Fgur. Eprmn and smulaon wh fn qud anharmonc. a, Eprmnal daa akn afr a 6 ns hr-on puls. b, Smulaon usng h amlonan. Supplmnar Fgur. Phagoran dnamcs n h m doman. a, Eprmnal daa. Th hr-on puls s
More informationELEN E4830 Digital Image Processing
ELEN E48 Dgal Imag Procssng Mrm Eamnaon Sprng Soluon Problm Quanzaon and Human Encodng r k u P u P u r r 6 6 6 6 5 6 4 8 8 4 P r 6 6 P r 4 8 8 6 8 4 r 8 4 8 4 7 8 r 6 6 6 6 P r 8 4 8 P r 6 6 8 5 P r /
More informationAdaptive Critic Designs for Optimal Control of Power Systems
Adapv Crc Dsgns for Opmal Conrol of Powr Sysms G. K. Vnayagamoorhy, Snor Mmbr, IEEE, and R. G. Harly, Fllow, IEEE AbsracTh ncrasng complxy of h modrn powr grd hghlghs h nd for advancd modlng and conrol
More informationTheoretical Seismology
Thorcal Ssmology Lcur 9 Sgnal Procssng Fourr analyss Fourr sudd a h Écol Normal n Pars, augh by Lagrang, who Fourr dscrbd as h frs among Europan mn of scnc, Laplac, who Fourr rad lss hghly, and by Mong.
More informationt=0 t>0: + vr - i dvc Continuation
hapr Ga Dlay and rcus onnuaon s rcu Equaon >: S S Ths dffrnal quaon, oghr wh h nal condon, fully spcfs bhaor of crcu afr swch closs Our n challng: larn how o sol such quaons TUE/EE 57 nwrk analys 4/5 NdM
More informationFrequency Response. Response of an LTI System to Eigenfunction
Frquncy Rsons Las m w Rvsd formal dfnons of lnary and m-nvaranc Found an gnfuncon for lnar m-nvaran sysms Found h frquncy rsons of a lnar sysm o gnfuncon nu Found h frquncy rsons for cascad, fdbac, dffrnc
More informationBoosting and Ensemble Methods
Boosng and Ensmbl Mhods PAC Larnng modl Som dsrbuon D ovr doman X Eampls: c* s h arg funcon Goal: Wh hgh probably -d fnd h n H such ha rrorh,c* < d and ar arbrarly small. Inro o ML 2 Wak Larnng
More informationEE"232"Lightwave"Devices Lecture"16:"p7i7n"Photodiodes"and" Photoconductors"
EE"232"Lgwav"Dvcs Lcur"16:"p77n"Pooos"an" Pooconucors" Rang:"Cuang,"Cap."15"(2 n E) Insrucor:"Mng"C."Wu Unvrsy"of"Calforna,"Brkly Elcrcal"Engnrng"an"Compur"Scncs"Dp. EE232$Lcur$16-1 Rvrs"bas%p""n%juncon
More information9. Simple Rules for Monetary Policy
9. Smpl Ruls for Monar Polc John B. Talor, Ma 0, 03 Woodford, AR 00 ovrvw papr Purpos s o consdr o wha xn hs prscrpon rsmbls h sor of polc ha conomc hor would rcommnd Bu frs, l s rvw how hs sor of polc
More informationThe Variance-Covariance Matrix
Th Varanc-Covaranc Marx Our bggs a so-ar has bn ng a lnar uncon o a s o daa by mnmzng h las squars drncs rom h o h daa wh mnsarch. Whn analyzng non-lnar daa you hav o us a program l Malab as many yps o
More informationAdvanced 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 informationinnovations shocks white noise
Innovaons Tm-srs modls ar consrucd as lnar funcons of fundamnal forcasng rrors, also calld nnovaons or shocks Ths basc buldng blocks sasf var σ Srall uncorrlad Ths rrors ar calld wh nos In gnral, f ou
More informationEnhanced DBCC for high-speed permanent magnet synchronous motor drives
Enhanc DBCC for hgh-p prmann magn ynchronou moor r M. ang, A. Gaa, A. Formnn, K. Ohyama 3, P. Zancha, an G. Ahr Unry of Nongham, Unry Par, Nongham, UK rdr.r.l., a ommao Fazllo 5, nn (SR), Ialy 3 Fuuoa
More informationCmd> data<-matread("hwprobs.dat","exmpl8.2") This is the data shown in Table 8.5, the copper and diet factors.
Sa 5303 (Ohlr): Facoral Hanou 3 Cm> aa
More informationSIMEON BALL AND AART BLOKHUIS
A BOUND FOR THE MAXIMUM WEIGHT OF A LINEAR CODE SIMEON BALL AND AART BLOKHUIS Absrac. I s shown ha h paramrs of a lnar cod ovr F q of lngh n, dmnson k, mnmum wgh d and maxmum wgh m sasfy a cran congrunc
More informationPhysics 160 Lecture 3. R. Johnson April 6, 2015
Physics 6 Lcur 3 R. Johnson April 6, 5 RC Circui (Low-Pass Filr This is h sam RC circui w lookd a arlir h im doma, bu hr w ar rsd h frquncy rspons. So w pu a s wav sad of a sp funcion. whr R C RC Complx
More informationThe Mathematics of Harmonic Oscillators
Th Mhcs of Hronc Oscllors Spl Hronc Moon In h cs of on-nsonl spl hronc oon (SHM nvolvng sprng wh sprng consn n wh no frcon, you rv h quon of oon usng Nwon's scon lw: con wh gvs: 0 Ths s sos wrn usng h
More informationEngineering Circuit Analysis 8th Edition Chapter Nine Exercise Solutions
Engnrng rcu naly 8h Eon hapr Nn Exrc Soluon. = KΩ, = µf, an uch ha h crcu rpon oramp. a For Sourc-fr paralll crcu: For oramp or b H 9V, V / hoo = H.7.8 ra / 5..7..9 9V 9..9..9 5.75,.5 5.75.5..9 . = nh,
More informationA universal saturation controller design for mobile robots
A unvrsal sauraon conrollr sgn for mobl robos K.D. Do,,Z.P.Jang an J. Pan Dparmn of Elcrcal an Compur Engnrng, Polychnc Unvrsy, NY, USA. Emal: uc@mch.uwa.u.au, zjang@conrol.poly.u Dparmn of Mchancal Engnrng,
More informationPSS Design of the Combined Cycle Power Station (CCPS)
Procings of th Worl Congrss on Enginring an Computr Scinc 7 WCECS 7, Octobr 4-6, 7, San Francisco, USA PSS Dsign of th Combin Cycl Powr Station (CCPS) F. M. F. Souza, E. L. F. Danil, J. N. R. a Silva Jr,
More informationCharging of capacitor through inductor and resistor
cur 4&: R circui harging of capacior hrough inducor and rsisor us considr a capacior of capacianc is conncd o a D sourc of.m.f. E hrough a rsisr of rsisanc R, an inducor of inducanc and a y K in sris.
More informationChapter 13 Laplace Transform Analysis
Chapr aplac Tranorm naly Chapr : Ouln aplac ranorm aplac Tranorm -doman phaor analy: x X σ m co ω φ x X X m φ x aplac ranorm: [ o ] d o d < aplac Tranorm Thr condon Unlaral on-dd aplac ranorm: aplac ranorm
More informationHomework: Introduction to Motion
Homwork: Inroducon o Moon Dsanc vs. Tm Graphs Nam Prod Drcons: Answr h foowng qusons n h spacs provdd. 1. Wha do you do o cra a horzona n on a dsancm graph? 2. How do you wak o cra a sragh n ha sops up?
More informationMitigation of Inrush Current in Load Transformer for Series Voltage Sag Compensator
Inrnaonal Journal of Engnrng Rsarch & Tchnology (IJERT) ISSN: 2278-181 Vol. 3 Issu 5, May - 214 Mgaon of Inrush Currn n Load Transformr for Srs Volag Sag Compnsaor Asf Hamd Wan M.Tch Scholar, Dp. of Elcrcal
More informationCSE 245: Computer Aided Circuit Simulation and Verification
CSE 45: Compur Aidd Circui Simulaion and Vrificaion Fall 4, Sp 8 Lcur : Dynamic Linar Sysm Oulin Tim Domain Analysis Sa Equaions RLC Nwork Analysis by Taylor Expansion Impuls Rspons in im domain Frquncy
More informationFAULT TOLERANT SYSTEMS
FAULT TOLERANT SYSTEMS hp://www.cs.umass.du/c/orn/faultolransysms ar 4 Analyss Mhods Chapr HW Faul Tolranc ar.4.1 Duplx Sysms Boh procssors xcu h sam as If oupus ar n agrmn - rsul s assumd o b corrc If
More informationA THREE COMPARTMENT MATHEMATICAL MODEL OF LIVER
A THREE COPARTENT ATHEATICAL ODEL OF LIVER V. An N. Ch. Paabhi Ramacharyulu Faculy of ahmaics, R D collgs, Hanamonda, Warangal, India Dparmn of ahmaics, Naional Insiu of Tchnology, Warangal, India E-ail:
More informationDynamic modeling, simulation and control of a hybrid driven press mechanism
INTERNTIONL JOURNL OF MECHNICS Volum 1 16 Dynamc modlng smulaon and conrol of a hybrd drvn prss mchansm Mhm Erkan Küük Lal Canan Dülgr bsrac Hybrd drvn mchansm combns h moon of a larg consan vlocy moor
More informationProblem analysis in MW frequency control of an Interconnected Power system using sampled data technique
Inrnaonal Journal o La rnd n Engnrng and chnology IJLE robl analy n MW rquncy conrol o an Inrconncd owr y ung apld daa chnqu payan Guha parn o Elcrcal Engnrng Fnal Yar M.ch Sudn, Aanol Engnrng Collg, Aanol,
More informationDouble Slits in Space and Time
Doubl Slis in Sac an Tim Gorg Jons As has bn ror rcnly in h mia, a am l by Grhar Paulus has monsra an inrsing chniqu for ionizing argon aoms by using ulra-shor lasr ulss. Each lasr uls is ffcivly on an
More informationEconomics 302 (Sec. 001) Intermediate Macroeconomic Theory and Policy (Spring 2011) 3/28/2012. UW Madison
Economics 302 (Sc. 001) Inrmdia Macroconomic Thory and Policy (Spring 2011) 3/28/2012 Insrucor: Prof. Mnzi Chinn Insrucor: Prof. Mnzi Chinn UW Madison 16 1 Consumpion Th Vry Forsighd dconsumr A vry forsighd
More informationChap 2: Reliability and Availability Models
Chap : lably ad valably Modls lably = prob{s s fully fucog [,]} Suppos from [,] m prod, w masur ou of N compos, of whch N : # of compos oprag corrcly a m N f : # of compos whch hav fald a m rlably of h
More informationDynamic Demagnetization Computation of Permanent Magnet Motors Using Finite Element Method with Normal Magnetization Curves
Y 中国用户大会优秀论文 Dynamc Dmagnzaon Compaon of Prmann agn oors Usng Fn Elmn ho h ormal agnzaon Crs W.. F an. L. o bsrac m-sppng fn lmn mho (FE) o smla h ransn opraons of prmann magn (P) moors s prsn. I ss only
More informationWave Phenomena Physics 15c
Wv hnon hyscs 5c cur 4 Coupl Oscllors! H& con 4. Wh W D s T " u forc oscllon " olv h quon of oon wh frcon n foun h sy-s soluon " Oscllon bcos lr nr h rsonnc frquncy " hs chns fro 0 π/ π s h frquncy ncrss
More information4.1 The Uniform Distribution Def n: A c.r.v. X has a continuous uniform distribution on [a, b] when its pdf is = 1 a x b
4. Th Uniform Disribuion Df n: A c.r.v. has a coninuous uniform disribuion on [a, b] whn is pdf is f x a x b b a Also, b + a b a µ E and V Ex4. Suppos, h lvl of unblivabiliy a any poin in a Transformrs
More informationCurrent-Mode Sensorless Control of Single-Phase Brushless DC Fan Motors
IEEE PED 20, ngapor, 5-8 Dcmbr 20 Currn-Mod norl Conrol of ngl-pha Bruhl DC Fan Moor W-Chao Chn Powr Elcronc ym and Chp Lab. Dparmn of Elcrcal Engnrng aonal Chao Tung Unv., Hnchu, Tawan Yng-Yu Tzou, Mmbr,
More informationReview Lecture 5. The source-free R-C/R-L circuit Step response of an RC/RL circuit. The time constant = RC The final capacitor voltage v( )
Rviw Lcur 5 Firs-ordr circui Th sourc-fr R-C/R-L circui Sp rspons of an RC/RL circui v( ) v( ) [ v( 0) v( )] 0 Th i consan = RC Th final capacior volag v() Th iniial capacior volag v( 0 ) Volag/currn-division
More informationTheoretical Output Current Spectra of Three Phase Current Source Converters
Thorcal Oupu Currn Spcra of Thr Phas Currn Sourc Convrrs chal Brhoff, Frrch W. Fuchs Chrsan-Albrchs-Unvrs of Kl Kasrsr., Kl, Grman Tl. 9--88- mb@f.un-kl., fwf@f.un-kl. Sabn Pschk Howalswrk-Dusch Wrf GmbH
More informationSearching for pairing interactions with coherent charge fluctuations spectroscopy
Sarchng for parng nracons wh cohrn charg flucuaons spcroscopy J. Lornzana ISC-CNR, Sapnza, Unvrsy of Rom B. Mansar, A. Mann, A. Odh, M. Scaronglla, M. Chrgu, F. Carbon EPFL, Lausann Ouln Raman scarng Cohrn
More informationCHAPTER CHAPTER14. Expectations: The Basic Tools. Prepared by: Fernando Quijano and Yvonn Quijano
Expcaions: Th Basic Prpard by: Frnando Quijano and Yvonn Quijano CHAPTER CHAPTER14 2006 Prnic Hall Businss Publishing Macroconomics, 4/ Olivir Blanchard 14-1 Today s Lcur Chapr 14:Expcaions: Th Basic Th
More informationProblem 1: Consider the following stationary data generation process for a random variable y t. e t ~ N(0,1) i.i.d.
A/CN C m Sr Anal Profor Òcar Jordà Wnr conomc.c. Dav POBLM S SOLIONS Par I Analcal Quon Problm : Condr h followng aonar daa gnraon proc for a random varabl - N..d. wh < and N -. a Oban h populaon man varanc
More informationImproved Ratio Estimators for Population Mean Based on Median Using Linear Combination of Population Mean and Median of an Auxiliary Variable
rcan Journal of Opraonal Rsarch : -7 DOI:.59/j.ajor.. Iprov Rao saors for Populaon an as on an Usng Lnar Cobnaon of Populaon an an an of an uxlar arabl Subhash Kuar aav San Sharan shra * lok Kuar Shukla
More informationTransfer function and the Laplace transformation
Lab No PH-35 Porland Sa Univriy A. La Roa Tranfr funcion and h Laplac ranformaion. INTRODUTION. THE LAPLAE TRANSFORMATION L 3. TRANSFER FUNTIONS 4. ELETRIAL SYSTEMS Analyi of h hr baic paiv lmn R, and
More informationThermodynamic Properties of the Harmonic Oscillator and a Four Level System
www.ccsn.org/apr Appld Physcs Rsarch Vol. 3, No. ; May Thrmodynamc Proprs of h Harmonc Oscllaor and a Four Lvl Sysm Oladunjoy A. Awoga Thorcal Physcs Group, Dparmn of Physcs, Unvrsy of Uyo, Uyo, Ngra E-mal:
More informationHopf Bifurcation Analysis for the Comprehensive National Strength Model with Time Delay Xiao-hong Wang 1, Yan-hui Zhai 2
opf Bfurcaon Analy for h Comprhnv Naonal Srnh ol wh m Dlay Xao-hon an Yan-hu Zha School of Scnc ann Polychnc Unvry ann Abrac h papr manly mof an furhr vlop h comprhnv naonal rnh mol By mofyn h bac comprhnv
More informationChapter 9 Transient Response
har 9 Transn sons har 9: Ouln N F n F Frs-Ordr Transns Frs-Ordr rcus Frs ordr crcus: rcus conan onl on nducor or on caacor gornd b frs-ordr dffrnal quaons. Zro-nu rsons: h crcu has no ald sourc afr a cran
More informationChapters 2 Kinematics. Position, Distance, Displacement
Chapers Knemacs Poson, Dsance, Dsplacemen Mechancs: Knemacs and Dynamcs. Knemacs deals wh moon, bu s no concerned wh he cause o moon. Dynamcs deals wh he relaonshp beween orce and moon. The word dsplacemen
More informationUNIT #5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Answr Ky Nam: Da: UNIT # EXPONENTIAL AND LOGARITHMIC FUNCTIONS Par I Qusions. Th prssion is quivaln o () () 6 6 6. Th ponnial funcion y 6 could rwrin as y () y y 6 () y y (). Th prssion a is quivaln o
More informationOUTLINE FOR Chapter 2-2. Basic Laws
0//8 OUTLINE FOR Chapr - AERODYNAMIC W-- Basc Laws Analss of an problm n fld mchancs ncssarl nclds samn of h basc laws gornng h fld moon. Th basc laws, whch applcabl o an fld, ar: Consraon of mass Conn
More informationADAPTIVE PRE-EMPTIVE CONTROL OF VACUUM DEWATERING IN PAPER MANUFACTURING 1. Petar Bjegovic 3 Perry Y. Li 2
Copyrgh 2002 IFC 5h Trnnal World Congrss arclona Span DPTIVE PRE-EMPTIVE CONTROL OF VCUUM DEWTERING IN PPER MNUFCTURING Par jgoc 3 Prry Y. L 2 Dparmn of Mchancal Engnrng Unrsy of Mnnsoa Church S. SE Mnnapols
More informationAnouncements. Conjugate Gradients. Steepest Descent. Outline. Steepest Descent. Steepest Descent
oucms Couga Gas Mchal Kazha (6.657) Ifomao abou h Sma (6.757) hav b pos ol: hp://www.cs.hu.u/~msha Tch Spcs: o M o Tusay afoo. o Two paps scuss ach w. o Vos fo w s caa paps u by Thusay vg. Oul Rvw of Sps
More informationSolution in semi infinite diffusion couples (error function analysis)
Soluon n sem nfne dffuson couples (error funcon analyss) Le us consder now he sem nfne dffuson couple of wo blocks wh concenraon of and I means ha, n a A- bnary sysem, s bondng beween wo blocks made of
More informationEE 232 Lightwave Devices. Photodiodes
EE 3 Lgwav Dvcs Lcur 8: oocoucors a p-- ooos Rag: Cuag, Cap. 4 Isrucor: Mg C. Wu Uvrsy of Calfora, Brkly Elcrcal Egrg a Compur Sccs Dp. EE3 Lcur 8-8. Uvrsy of Calfora oocoucors ω + - x Ara w L Euval Crcu
More informationStudy on Driver Model Parameters Distribution for Fatigue Driving Levels Based on Quantum Genetic Algorithm
Snd Ordrs for Rprns o rprns@bnhamscnc.a Th Opn Cybrncs & Sysmcs Journal, 5, 9, 559-566 559 Opn Accss Sudy on Drvr Modl Paramrs Dsrbuon for Fagu Drvng Lvls Basd on Quanum Gnc Algorhm ShuanFng Zhao * X an
More informationReduced The Complexity of Soft Input Soft Output Maximum A posteriori Decoder of Linear Block Code By Using Parallel Trellises Structure
Journal of Babylon nvrsy/engnrng Scncs/ No.4/ Vol.25: 27 Rducd Th Complxy of Sof Inpu Sof upu Maxmum A posror Dcodr of Lnar Block Cod By sng Paralll Trllss Srucur Samr Abdul Cahm Khohr Hadr Jabbar Abd
More informationCPSC 211 Data Structures & Implementations (c) Texas A&M University [ 259] B-Trees
CPSC 211 Daa Srucurs & Implmnaions (c) Txas A&M Univrsiy [ 259] B-Trs Th AVL r and rd-black r allowd som variaion in h lnghs of h diffrn roo-o-laf pahs. An alrnaiv ida is o mak sur ha all roo-o-laf pahs
More informationFluctuation-Electromagnetic Interaction of Rotating Neutral Particle with the Surface: Relativistic Theory
Fluuaon-lroagn Inraon of Roang Nural Parl w Surfa: Rlavs or A.A. Kasov an G.V. Dov as on fluuaon-lroagn or w av alula rar for of araon fronal on an ang ra of a nural parl roang nar a polarabl surfa. parl
More information10. If p and q are the lengths of the perpendiculars from the origin on the tangent and the normal to the curve
0. If p and q ar h lnghs of h prpndiculars from h origin on h angn and h normal o h curv + Mahmaics y = a, hn 4p + q = a a (C) a (D) 5a 6. Wha is h diffrnial quaion of h family of circls having hir cnrs
More information1. Inverse Matrix 4[(3 7) (02)] 1[(0 7) (3 2)] Recall that the inverse of A is equal to:
Rfrncs Brnank, B. and I. Mihov (1998). Masuring monary policy, Quarrly Journal of Economics CXIII, 315-34. Blanchard, O. R. Proi (00). An mpirical characrizaion of h dynamic ffcs of changs in govrnmn spnding
More informationAPPENDIX H CONSTANT VOLTAGE BEHIND TRANSIENT REACTANCE GENERATOR MODEL
APPNDIX H CONSAN VOAG BHIND RANSIN RACANC GNRAOR MOD h mprov two gnrator mo uss th constant votag bhn transnt ractanc gnrator mo. hs mo gnors magntc sancy; assums th opratng ractanc of th gnrator s th
More informationAnalysis of decentralized potential field based multi-agent navigation via primal-dual Lyapunov theory
Analyss of dcnralzd ponal fld basd mul-agn navgaon va prmal-dual Lyapunov hory Th MIT Faculy has mad hs arcl opnly avalabl. Plas shar how hs accss bnfs you. Your sory mars. Caon As Publshd Publshr Dmarogonas,
More informationSome Useful Formulae
ME - hrmodynamcs I Som Usful Formula Control Mass Contnuty Equaton m constant Frst Law Comprsson-xpanson wor U U m V V mg Z Z Q W For polytropc procs, PV n c, Scond Law W W PdV P V P V n n P V ln V V n
More information10.5 Linear Viscoelasticity and the Laplace Transform
Scn.5.5 Lnar Vclacy and h Lalac ranfrm h Lalac ranfrm vry uful n cnrucng and analyng lnar vclac mdl..5. h Lalac ranfrm h frmula fr h Lalac ranfrm f h drvav f a funcn : L f f L f f f f f c..5. whr h ranfrm
More informationSun and Geosphere, 2008; 3(1): ISSN
Sun Gosphr, 8; 3(): 5-56 ISSN 89-839 h Imporanc of Ha Conducon scos n Solar Corona Comparson of Magnohdrodnamc Equaons of On-Flud wo-flud Srucur n Currn Sh Um Dn Gor Asronom Spac Scncs Dparmn, Scnc Facul,
More informationRobust decentralized control with scalar output of multivariable structurally uncertain plants with state delay 1
rprns of h 8h IFAC World Congrss lano Ial Augus 8 - Spmbr obus dcnralzd conrol wh scalar oupu of mulvarabl srucurall uncran plans wh sa dla Elzava arshva Absrac h problm of a robus conrol ssm dsgn for
More informationEE 434 Lecture 22. Bipolar Device Models
EE 434 Lcur 22 Bipolar Dvic Modls Quiz 14 Th collcor currn of a BJT was masurd o b 20mA and h bas currn masurd o b 0.1mA. Wha is h fficincy of injcion of lcrons coming from h mir o h collcor? 1 And h numbr
More informationile -cf r-+- wt,2c..seiswtfc -.`+Cr ... -ti -.,r r-.g`"i.e., `4`'n,.,,,...,- . -:-.1...,g,,...±...,... a" -S``` `+K. _7'_s'..
'n `x 7A;> wwwamrcanradohsorycom : r»;',z>> `, ', _,,_ f _ "h s '_ v ` / ; a ^ S`'"^ ` r,, _~' l ç!, äc Ly s : s F " ` S _ n` ^,,`,,^_ 2'r:' " cf r+ w,2csswtfc `+Cr,,:,r rg`", `4`'n,,,,, +c x' s 1m :1,g,,±,
More informationControl System Engineering (EE301T) Assignment: 2
Conrol Sysm Enginring (EE0T) Assignmn: PART-A (Tim Domain Analysis: Transin Rspons Analysis). Oain h rspons of a uniy fdack sysm whos opn-loop ransfr funcion is (s) s ( s 4) for a uni sp inpu and also
More informationNUMERICAL ALGORITHM FOR OPTIMAL MULTI-VARIABLE CONTROL OF AERO ENGINES
NUMERICL LGORIHM OR OIML MULI-VRILE CONROL O ERO ENGINE ODLansv Vrkn GGKlkov VYrkov Dparmn of oma Conrol sms Ufa a vaon chncal Unvrs KMar r Ufa 45 Rssa Dparmn of omac Conrol an sms Engnrng Unvrs of hffl
More informationCIVL 8/ D Boundary Value Problems - Triangular Elements (T6) 1/8
CIVL 8/7 -D Boundar Valu Problm - rangular Elmn () /8 SI-ODE RIAGULAR ELEMES () A quadracall nrpolad rangular lmn dfnd b nod, hr a h vrc and hr a h mddl a ach d. h mddl nod, dpndng on locaon, ma dfn a
More informationAn Indian Journal FULL PAPER. Trade Science Inc. A stage-structured model of a single-species with density-dependent and birth pulses ABSTRACT
[Typ x] [Typ x] [Typ x] ISSN : 974-7435 Volum 1 Issu 24 BioTchnology 214 An Indian Journal FULL PAPE BTAIJ, 1(24), 214 [15197-1521] A sag-srucurd modl of a singl-spcis wih dnsiy-dpndn and birh pulss LI
More informationThe Fourier Transform
/9/ Th ourr Transform Jan Baptst Josph ourr 768-83 Effcnt Data Rprsntaton Data can b rprsntd n many ways. Advantag usng an approprat rprsntaton. Eampls: osy ponts along a ln Color spac rd/grn/blu v.s.
More informationExample: MOSFET Amplifier Distortion
4/25/2011 Example MSFET Amplfer Dsoron 1/9 Example: MSFET Amplfer Dsoron Recall hs crcu from a prevous handou: ( ) = I ( ) D D d 15.0 V RD = 5K v ( ) = V v ( ) D o v( ) - K = 2 0.25 ma/v V = 2.0 V 40V.
More informationFirst Lecture of Machine Learning. Hung-yi Lee
Firs Lcur of Machin Larning Hung-yi L Larning o say ys/no Binary Classificaion Larning o say ys/no Sam filring Is an -mail sam or no? Rcommndaion sysms rcommnd h roduc o h cusomr or no? Malwar dcion Is
More informationImproved Exponential Estimator for Population Variance Using Two Auxiliary Variables
Improvd Epoal Emaor for Populao Varac Ug Two Aular Varabl Rajh gh Dparm of ac,baara Hdu Uvr(U.P., Ida (rgha@ahoo.com Pakaj Chauha ad rmala awa chool of ac, DAVV, Idor (M.P., Ida Flor maradach Dparm of
More informationA FUZZY CONTROLLER FOR ENHANCEMENT OF POWER SYSTEM STABILITY WITH FACTS DEVICE
005-009 JATIT. All righs rsrv. www.jai.org A FUZZY CONTROLLER FOR ENHANCEMENT OF POWER SYSTEM STABILITY WITH FACTS DEVICE K.R.SUDHA, K.Harinaha Ry Dparmn of Elcrical Enginring, Anhra Univrsiy,Visakhapanam
More informationFinal Exam : Solutions
Comp : Algorihm and Daa Srucur Final Exam : Soluion. Rcuriv Algorihm. (a) To bgin ind h mdian o {x, x,... x n }. Sinc vry numbr xcp on in h inrval [0, n] appar xacly onc in h li, w hav ha h mdian mu b
More informationGuaranteed Cost Control for a Class of Uncertain Delay Systems with Actuator Failures Based on Switching Method
49 Inrnaonal Journal of Conrol, Ru Wang Auomaon, and Jun and Zhao Sysms, vol. 5, no. 5, pp. 49-5, Ocobr 7 Guarand Cos Conrol for a Class of Uncran Dlay Sysms wh Acuaor Falurs Basd on Swchng Mhod Ru Wang
More informationTSS = SST + SSE An orthogonal partition of the total SS
ANOVA: Topc 4. Orhogonal conrass [ST&D p. 183] H 0 : µ 1 = µ =... = µ H 1 : The mean of a leas one reamen group s dfferen To es hs hypohess, a basc ANOVA allocaes he varaon among reamen means (SST) equally
More informationLecture 7 - SISO Loop Analysis
Lctr 7 - IO Loop Anal IO ngl Inpt ngl Otpt Anal: tablt rformanc Robtn EE39m - prng 5 Gornvk ontrol Engnrng 7- ODE tablt Lapnov mathmatcal tablt thor - nonlnar tm tablt fnton frt rct mtho xponntal convrgnc
More informationS.Y. B.Sc. (IT) : Sem. III. Applied Mathematics. Q.1 Attempt the following (any THREE) [15]
S.Y. B.Sc. (IT) : Sm. III Applid Mahmaics Tim : ½ Hrs.] Prlim Qusion Papr Soluion [Marks : 75 Q. Amp h following (an THREE) 3 6 Q.(a) Rduc h mari o normal form and find is rank whr A 3 3 5 3 3 3 6 Ans.:
More informationVariants of Pegasos. December 11, 2009
Inroducon Varans of Pegasos SooWoong Ryu bshboy@sanford.edu December, 009 Youngsoo Cho yc344@sanford.edu Developng a new SVM algorhm s ongong research opc. Among many exng SVM algorhms, we wll focus on
More informationLecture 1: Numerical Integration The Trapezoidal and Simpson s Rule
Lcur : Numrical ngraion Th Trapzoidal and Simpson s Rul A problm Th probabiliy of a normally disribud (man µ and sandard dviaion σ ) vn occurring bwn h valus a and b is B A P( a x b) d () π whr a µ b -
More informationMidterm exam 2, April 7, 2009 (solutions)
Univrsiy of Pnnsylvania Dparmn of Mahmaics Mah 26 Honors Calculus II Spring Smsr 29 Prof Grassi, TA Ashr Aul Midrm xam 2, April 7, 29 (soluions) 1 Wri a basis for h spac of pairs (u, v) of smooh funcions
More informationEffect of engine parameters on turbocharger second law efficiency in turbocharged diesel engines
h Annual (Inrnaonal) Conrnc on Mchancal Engnrng-ISME7 May -7, 7, Amrkabr Unvrsy o chnology, hran, Iran ISME7- Ec o ngn paramrs on urbochargr n urbochargd dsl ngns M Ghazkhan Asssan prossor, Frdows Mashhad
More informationLecture 2: Current in RC circuit D.K.Pandey
Lcur 2: urrn in circui harging of apacior hrough Rsisr L us considr a capacior of capacianc is conncd o a D sourc of.m.f. E hrough a rsisr of rsisanc R and a ky K in sris. Whn h ky K is swichd on, h charging
More informationTransient Analysis of Two-dimensional State M/G/1 Queueing Model with Multiple Vacations and Bernoulli Schedule
Inrnaonal Journal of Compur Applcaons (975 8887) Volum 4 No.3, Fbruary 22 Transn Analyss of Two-dmnsonal Sa M/G/ Quung Modl wh Mulpl Vacaons and Brnoull Schdul Indra Assoca rofssor Dparmn of Sascs and
More informationThanks to advances in technology and controls, diesel engines are no longer sluggish nor spewing clouds of black smoke
Dsl Engns Or supror ul onomy alb a hghr os and omplxy o h arramn sysm Ahvd rmarkabl passngr ar mark pnraon n Europ and growng prsn n orh Amra hanks o advans n hnology and onrols dsl ngns ar no longr sluggsh
More informationChapter 7. Now, for 2) 1. 1, if z = 1, Thus, Eq. (7.20) holds
Chapr 7, n, 7 Ipuls rspons of h ovng avrag flr s: h[, ohrws sn / / Is frquny rspons s: sn / Now, for a BR ransfr funon,, For h ovng-avrag flr, sn / W shall show by nduon ha sn / sn / sn /,, Now, for sn
More informationLecture 12: Introduction to nonlinear optics II.
Lcur : Iroduco o olar opcs II r Kužl ropagao of srog opc sgals propr olar ffcs Scod ordr ffcs! Thr-wav mxg has machg codo! Scod harmoc grao! Sum frqucy grao! aramrc grao Thrd ordr ffcs! Four-wav mxg! Opcal
More information