(IJACSA) Intnatonal Jounal of Advancd Comput Scnc and Applcaton, Vol. 3, No., Hgh Pfomanc Spd Snol Contol of h-pha Inducton Moto Bad on Cloud Computng Z.M. Salm Elctcal Engnng Dpatmnt Faculty of Engnng KFS Unvty, Egypt M.A.Abba Elctcal Engnng Dpatmnt Faculty of Engnng Kng Khald Unvty, KSA Abtact Inducton moto a cat of altnatng cunt moto wh chag ndu allottd to th oto clo-at-hand dputaton of conductv chag. h moto a boadly appld n ndutal clam du to thy a aduou along wth adh no contact. h pd contoll of dltod pha nducton moto appld to allvat th abaton of pd. h cntal contuctvt of th pap to accu th pfomanc of pd nol contol of th pha nducton moto. o nca t pfomanc, th pap pnt a modfd mthod fo pd contoll of an ndct vctocontolld nducton moto dv ung cloud computng tchnqu. Ou mthodology dpn on pd nol chm to obtan th pd gnal fdback; th pd tmato bad on modl fnc adaptv contol that u th tato cunt and oto flux a tat vaabl fo tmatng th pd. In th mthod, th tato cunt o pntd a a functon of ft dg of th tmatd pd o. An analy and mulaton of th td algothm bthd and appld ang a MS3C3 floatng-pont notatonal alt Poco. And accumulat th acton of th th pha nducton moto w concvd ou appaal affxd to th accountant bad on cloud computng tactc. h ntllgnt polcy u th gudln of th pd contoll ffcntly. Smulaton and xpmntal ult dpctd that th moto pd dclatd atculatly to tn t lluon app wthout abov and nfo mack and wth about zo tady tat o. h appd acclat alt and t patchng buoy amad off ln fom bulqu. Aft ffct play an advantagou affnty among th accountd pd alt and t' patchng allocatd a wll a apd pd fla. Kywo- cinducton moto; Cloud computng contol; Snol contol; Vcto contol; Obv; Modlng; Idntfcaton. I. INRODUCION In th lat fw dca, nducton moto (IM) patculaly qul-cag, ha bn cognzd a a wokho n th nduty bcau t hav many nhnt advantag lk mplcty, lablty, low cot and vtually mantnanc-f. Intgatng th moto typ wth a labl contoll bcam qut mpotant fo numou ndutal applcaton. Cuntly, ndct fld ontd contol tchnqu on of th ft choc contoll fo hgh-pfomanc nducton moto dv, howv, oto pd o poton fdback data ntal fo pop opaton [-4].achognato o optcal haft nco can b ud fo th pupo; howv, b th hgh cot, th dct pno oftn pol th uggdn, lablty, and mplcty of an nducton moto dv. Moov, uch ntv dvc qu caful mountng and algnmnt, and nd pcal attnton to b pad to lctcal no ntfnc wth th output data. Futhmo, an xact vo contol pfomanc omtm qud n an opatng nvonmnt wh th attachmnt of a dct pd no mpobl. o duc total hadwa complxty and cot and to nca mchancal obutn, t bcom advantagou to plac th dct no by om oth pd tmaton algothm pvng th hgh ytm pfomanc [-8]. Vaou contol algothm hav bn popod fo th pd-nol contol of an nducton moto [9-]. h nol algothm a manly bad on an tmatd flux and pd fdback gnal. Spd obv bad on th thoy of modl fnc adaptv ytm (MRAS) on of th mot popula tchnqu that uually mplmntd fo pd nol nducton moto dv [-4]. In th algothm, th oto flux tmatd fom th tato quaton (condd to b th fnc modl, onc t do not dpnd on th pd) and alo ung th oto quaton (adaptv modl). h pd thn obtand by th u of an adaptv law havng th co poduct of th two tmatd gnal a nput [7]. Roto flux o tato back mf may b ud to mak a fnc functon, and thn th moto pd tmatd ung MRAS. Convntonally, PI contoll a uually ud fo mplmntng MRAS flux and pd obv. In pt of t mplcty, th pfomanc of a PI-bad obv oftn dtoatd du to ytm nonlnaty ognatd fom t paamt unctanty and mmatch [, 6]. Cloud computng th a of accountng at that a allottd a an agncy abov a coway. h appont acc fom th u of a cloud-hapd alt a an mptn fo th abtu nfatuctu t accommodat n algba blupnt. Cloud computng accdt tant a wth a conum' atttaton, oftwa addtonally appaal. A cah gt bnftd accual accptd, cntt and tchnologt canvad channl to contuct lag-cal appng actvty achvabl to addtonal conum accomplhd a allocatng, analyzng wth algothm to acb th bt a of th nfatuctu, platfom and ad wth ankd acc to th addng machn and advantagoun fo th www.jaca.tha.og P a g
(IJACSA) Intnatonal Jounal of Advancd Comput Scnc and Applcaton, Vol. 3, No., back conum [-8]. John McCathy bantomd n th 96 that "appaal may omday b adjutd a a communal applcaton." Almot accomplhd th modn-day cacht of cloud computng, th compaon to th anod actvty and th a of communal, confdntal, authoty, and ctzny bu, w collctvly canvad n Dougla Pakhll' 966 bochu, h confont of th Comput Utlty. Oth chola hav hown that cloud computng oot go all th way back to th 9 whn cntt Hb Goch potulatd that th nt wold would opat on pchl accomplhmnt bgan adjacnt about ampl atttaton cnt[9-]. Du to th cot of th aogant calculato, common concn addtonally lvanc ntt could ndowmnt thmlv attndant addng ablty accomplhd ag allocatng and numou agnc, akn a GE' GEISCO, IBM ubday th agncy bufft actvty. h am of th pap to gn and mplmnt a pd contol chm of 3-pha nducton moto dv ytm ung PI bad cloud computng, n whch, th ytm contol paamt a adjutd by cloud computng bad ytm. h fomot compnaton of cloud computng ov th confomt contoll a that h coopatv accblty analogouly mpv cbaton ntwok, pcabl quantty abacu along wth to appaatu a wll a th wpad adopton of hadwa vtualzaton, vcontd anatomy, autonomc, a wll a mploymnt accountng acqu admntd to an ampl amplfcaton[-4]. Alo, a tato cunt bad MRAS fo pd tmaton of a nol nducton moto dv pntd. h pd tmaton o contnuouly ducd to zo ung a PI contoll a an adaptv low. h ffctvn of th popod mthod ttd at dffnt opatng condton. A floatng-pont Dgtal Sgnal Poco (DSP) MS3C3 contol boad wth a hadwa/oftwa ntfac ha bn ud to mplmnt th popod mthod fo pd tmaton. Smulaton and xpmntal ult a pntd and cud II. SYSEM DESCRIPION h popod ytm ntndd fo pfomanc analy of a cloud computng bad modl fnc adaptv ytm (MRAS) pd tmato of an ndct vcto contolld nducton moto dv hown n Fg.. Spd fdback gnal obtand by a MRAS pd tmaton block ntad of dct maumnt va a haft ncod. Voltag and cunt gnal a obtand by Hall-ffct no and nd to th DSP va t A/D nput pot. h pd tmato u th accbl tmnal gnal pntng tato pha cunt and voltag a an nput data aft bng manpulatd by utabl ax tanfomaton. h fld ontd contol * (FOC) block cv th toqu command obtand fom * d th pd contoll whl th flux command mantand contant. h FOC block pfom th lp calculaton and gnat th cunt command componnt and n a otatng fnc fam. h componnt a futh manpulatd by ax tanfomaton to obtan th abc cunt command componnt a, b, and c. h ax tanfomaton ud fo th pnt ytm a xpd a follow; * * co n * * n * co wh pnt th um of th lp and oto angl. * * a 3 q abc 3 III. * * * b * * * c MAHEMAICA MODE h cton pnt th mathmatcal modl of th nducton mototo v th ctal of th chm at dv wokng ttng. In addton a dtald analy of a oto pd tmato and th man concpt of PI contoll ung cloud computng tatgy. A. Inducton Moto Modl Squl-cag nducton moto pntd n t d-q dynamc modl. h modl pntd n ynchonou fnc fam xpd a follow; R p p V I V m I R p p q R R p ( ) m d R m ( ) R p h lctomchancal quaton alo gvn by; d J B () dt Wh, th lctomagntc toqu xpd a; 3 p. (I I ) (3) m d q Aumng th tato appld voltag V known, and th tato cunt can b obtand dctly va maumnt, th flux vcto can b obtand by ntgaton a follow (V RI )dt (4) h quaton oftn calld th tato flux obv. B. Spd Etmato A oto pd tmato ud to tudy th pfomanc of th ytm at dffnt opatng condton. h tmato dpn on both MRAS and adaptv pd obv whch a bad on oto flux. Spd tmaton pocdu of th popod mthod llutatd by th followng analy. () www.jaca.tha.og 3 P a g
Indct Fld Ontd Contoll dq to d to abc anfomaton PWM Invt (IJACSA) Intnatonal Jounal of Advancd Comput Scnc and Applcaton, Vol. 3, No., f PI cc * d * l DSP Boad a a b b c c Spd Etmato DC V I V b V a abc to d to dq anfomaton Fg. Block Dagam of th Popod Spd Snol Contol Sytm h tato cunt pntd a: p d q d p q d q V V () Ung th abov Eqn, th tato cunt tmatd a p d q d p q d q h dffnc n th tato cunt obtand a q d Equaton (7) may b wttn a: q q ( ) d d ( ) Snc th tato cunt o pntd a a functon of tmatd pd, an adaptv flux obv can b contuctd fom th machn modl quaton. h modl output a th tmatd valu of th tato cunt vcto î and th oto flux lnkag vcto ˆ. Fom Eqn. (8), q d q d (6) (7) (8) ( ) ( ) ( ) (9) Hnc, th o of th oto pd obtand a follow: [( ) ( ) ]/ K q d wh K ( q d ) () IM V c h ght hand tm m a th tm of pd calculaton fom adaptv obv, o th pd can b calculatd fom th followng quaton, [(K p ( ) q ( ) d ) K (K ( ) ( ) )dt] I q d () h pd tmaton pocdu pntd by Eqn to llutatd by th block dagam hown n Fg.. +, q, qd d ADJUSABE MODE + + K PI CONROER REFERENCE MODE Stato voltag v & v Stato Cunt & Fg. Block Dagam fo Spd Etmaton Pocdu C. Cloud Computng Bad PI Contoll Cloud computng changng th whol manufactung, lofty-conct ubtactng and ndvdual tattc allocaton and oganzaton. In cloud computng, computng pow aboundng a a utlty, compaabl to lctcal ngy o gat. Ovhaul uppl can cntally admnt, pv, and advanc wokng out poon, dvtng th lumb on o aft dmnutv tad landlo o ndvdual who do not nclud th pofcncy o fun to lv th pdy-vayng ubtactng tanpotaton. By man of th cloud fo lvatdctal computng can gnfcantly dmnh th ntty chag of tnu by adcatng th nctat to pv hug-balanc quvalnt machny and th vgo-ovdng ul and fh tuctu. Statng a chag-ffcacy pcpton, th a tadoff n qut of v povonng pcfd that a objctv cho can b paalllzd, a fqunt hold fo thoughput-tltng calculaton. Fg 3 dpct th flowchat of popod cloud computng algothm. h baln of th v pum that th whol occupaton xcutd on on a applanc concutvly on th fatt copoal knob. h gatt ubtantal lump can lav a wok pat ach a ubqunt. Snc th a g lfgulatng pofon lmnt n th ntact wokload, th baln pattn cv ga ntant to tmnat. h confguaton munch though W ga joul fo cayng out th full wokload, wh W pnt a copoal nod pow. hu, th EDP EDPba = (W ga)(ga) = Wga []. An antcpaton-bad pychoanaly ud to conclud a cloud modl compltng tm and foc xpndtu. A novl allocaton utlty won to tand fo th xcuton occaon of a pactcal applanc wth mo than on job lmnt. ω www.jaca.tha.og 4 P a g
(IJACSA) Intnatonal Jounal of Advancd Comput Scnc and Applcaton, Vol. 3, No., Whn ovgn modl a upplmntay fom a contnt allocaton, th outln allotmnt pupo labl to com na an odnay allotmnt accodng to th cntal lmt thom.9, th thom pov that whn w add mo autonomou mol nto th undown, th péc dvon wll dvlop nto xta appoxmatng a tandad upply. h man and vaanc of th nomal tbuton pntng th total xcuton tm of a vtual machn ponbl fo m/p job unt. Ft, w calculat th man and vaanc fo th ognal unfom tbuton, U(a,(a + ((b a)p)/n)): ( b a) p man a n ( b a) p va anc n h nnmot pmt thom dpct th undown of m/p ovgn tal fom th allocaton wll dvlop nto a gula allotmnt wth th ubqunt man and vaanc: m ( b a) p m ( b a) p N a. N(, ) p n p n Fo a, μ and σ ud to gnfy th tbuton man and vaanc. All n all, whn ung p ffctv machny, apc applanc mplmntaton tm wll follow th nomal tbuton, N(μ, σ)[]. IV. SIMUAION AND EXPERIMENA RESUS h popod contol ytm pntd by Fg. gnd and mplmntd fo a mulaton and xpmntal nvtgaton. Smulaton cad out ung th gnal pupo mulaton packag Matlab/Smulnk, whl xpmntal tudy mplmntd ung a MS3C3floatng-pont Dgtal Sgnal Poco (DSP) hotd on a ponal comput. Smulaton and xpmntal ult a pntd to how th ffctvn of th popod dv ytm bad cloud computng bad contoll ntad of PI contoll at dffnt opatng condton. Fo tudyng th pfomanc of popod ytm, a of mulaton and maumnt hav bn cad out. In th pct, th dynamc pon of th popod pd tmaton algothm tudd und both tp up and tp down chang n th pd command a follow. A. A-Spd tp down chang fom (8 to 6 ad/c. o tudy th ytm pon of th contol ytm du to a tp chang n th command of pd, th moto ubjctd to tp dca n th pd command to valuat t th pfomanc. At t=. cond th moto pd command changd fom 8 ad/c to 6 ad/c. Fgu 4 how th moto pd copondng to th tp down chang. It can b n that th moto pd dclatd moothly to follow t fnc valu wthout ov and und hoot and wth naly zo tady tat o. SAR Rad Sz of cloud, nta, Maxmum numb of clou, Dmnon of th poblm R = and(dm, n), R = and(dm, n) cunt_ftn= on(n,) cunt_poton = and(dm, n)-.) vlocty = andn(dm, n) local_bt_poton = cunt_poton = to n cunt_ftn = cunt_poton local_bt_ftn = cunt_ftn global_bt_ftn,g = mn(local_bt_ftn) = to n globl_bt_poton= local_bt_poton vlocty = w *vlocty + local_bt_poton-cunt_poton + globl_bt_poton-cunt_poton cunt_poton = cunt_poton + vloctyvlocty = w *vlocty t<cl_tp t = t + = to n cunt_ftn= cunt_poton = to n cf<lf local_ftn = cunt_ftn local_poton = cunt_poton vlocty = w *vlocty + local_bt_potoncunt_poton + globl_bt_poton-cunt_poton cunt_poton = cunt_poton + vlocty END Fg. 3 Flowchat of popod cloud computng algothm www.jaca.tha.og P a g
Cunt (Amp) Spd (ad/c) Cunt (Amp) (IJACSA) Intnatonal Jounal of Advancd Comput Scnc and Applcaton, Vol. 3, No., Fgu 4.a how th tmatd pd gnal and t copondng gnal obtand off ln fom mulaton. Fgu 4.b how maud and tmatd pd gnal obtand n al tm. h ult how a good colaton btwn th tmatd pd gnal and t copondng maud a wll a mulatd pd gnal. Pha cunt copondnt to th tp vayng a dpctd n Fg., 6 n that od. Fgu a and b, ymbolz th pha cunt and t ontaton domnaton, both fom mulaton and xpmntally. h a good aocaton among all cunt gnal, wha fgu 6a and 6b how th th pha cunt. h ult mak ctan th ffcacy of th pojctd contoll and how good acton of t lfmotvatd acton. B. B-Spd tp up chang fom (4 to 6 ad/c) h cond ca of dynamc pon du to pd tp up chang. At t=. cond,h moto ubjctd to a command of pd up fom 4 ad/c to -6 ad/c. Fgu 7.a how th tmatd and mulatd pd gnal obtand off ln fo th condton. It can b n that both pd gnal hav th am pofl whch a alway almot colatd. Fgu 7.b how th copondng al tm tmatd and maud fo th condton. Both gnal how a good colaton dung pd tp up chang. Pha cunt a wll a t fnc command copondng to th ca a hown pctvly n Fg. 8, 9. Fgu how that th pha moto cunt and th chang dung pd tp up. Mud Etmatd Rfnc Actual -... 3 3. 4 m (Sc) Fg. a (Smulaton) Moto pha cunt and t fnc command fo tp down of fnc pd Fg. 6b (Expmntal) Moto pha cunt and t fnc command fo tp down of fnc pd 8 6 4... 3 3. 4 m (Sc) Fg 4.aEtmatd and mulatd moto pd gnal obtand off ln ]] Fg. 6.a (Expmntal) Moto pha cunt and t fnc command fo tp down of fnc pd Fg 4.bEtmatd and maud moto pd gnal obtand n al tm -... 3 3. 4 m (Sc) Fg. 6.b (Smulaton) Moto th pha cunt fo tp down of fnc pd www.jaca.tha.og 6 P a g
Cunt (Sc) Cunt (Amp) Spd (ad/c) (IJACSA) Intnatonal Jounal of Advancd Comput Scnc and Applcaton, Vol. 3, No., 8 Etmatd Maud 6 4 - -4.. 3 3. 4 4.. 6 m(sc) Fg 7.a Etmatd and mulatd moto pd gnal obtand off ln Fg. 9.a (Expmntal) Moto th pha cunt tp up of fnc pd - 3 4 6 m (Sc) Fg. 9.b (Smulaton) Moto th pha cunt fo tp up of fnc pd Fg 7.b Etmatd and mulatd moto pd gnal obtand n al tm Fg 8.a (Expmntal)Moto pha cunt and t fnc command fo tp up of fnc pd Rfnc Actual -.. 3 3. 4 4.. 6 m (Sc) Fg. 8.b (Smulaton) Moto pha cunt and t fnc command fo tp up of fnc pd V. CONCUSIONS h pap pnt th mplmntaton of a pd nol nducton moto dv ytm. PI Spd contoll ofan ndct vcto contolld nducton moto dv ytm bad on cloud computng, wha fdback pd gnal tmatd ung MRAS mthod. h dv ytm ha bn mplmntd bad on MRAS pd tmaton tchnqu. h ffctvn of th popod pd contoll and pd tmaton algothm ha bn nvtgatd und dffnt opatng condton. A good colaton btwn mulatd, tmatd and maud pd gnal ha bn obtand und dffnt opatng condton. h ult how th ffctvn and obutn of th popod pd contoll and pd tmaton pocdu. REFERENCES [] G. Eaon, B. Nobl, and I. N. Snddon, On ctan ntgal of pchtz-hankl typ nvolvng poduct of Bl functon, Phl. an. Roy. Soc. ondon, vol. A47, pp. 9, Apl 9. (fnc) [] J. Clk Maxwll, A at on Elctcty and Magntm, 3d d., vol.. Oxfod: Clandon, 89, pp.68 73. [3] I. S. Jacob and C. P. Ban, Fn patcl, thn flm and xchang anotopy, n Magntm, vol. III, G.. Rado and H. Suhl, E. Nw Yok: Acadmc, 963, pp. 7 3. [4] K. Ela, tl of pap f known, unpublhd. [] R. Ncol, tl of pap wth only ft wod captalzd, J. Nam Stand. Abbv., n p. [6] Y. Yoozu, M. Hano, K. Oka, and Y. agawa, Elcton pctocopy tu on magnto-optcal mda and platc ubtat ntfac, IEEE anl. J. Magn. Japan, vol., pp. 74 74, Augut 987 [Dgt 9th Annual Conf. Magntc Japan, p. 3, 98]. [7] M. Young, h chncal Wt' Handbook. Mll Vally, CA: Unvty Scnc, 989. [8] J. Holtz, Snol Contol of Inducton Moto Dv, Pocdng of IEEE, Vol. 9. No. 8, Augut, PP. 39-394. [9] [] Faa-Jng n, Rong-Jong Wa, and Pao-Chuan n, "Robut Spd Snol Inducton Moto Dv," IEEE anacton on Aopac and Elctonc Sytm, Vol. 3, No. Apl 999, PP. 6678. www.jaca.tha.og 7 P a g
(IJACSA) Intnatonal Jounal of Advancd Comput Scnc and Applcaton, Vol. 3, No., [] H. Kubota, I. Sato, Y. amua, K. Matu, Hayoh Ohta, and Y. Ho, Rgnatng Mod ow-spd opaton of Snol Inducton Moto Dv Wth Adaptv Obv, IEEE-IA, Vol. 38, No. 4, July/Augut, PP. 8-86. [] Young Ahn Kwon, and Sung Hwan Km, "A Nw Schm fo Spd- Snol Contol of Inducton Moto," IEEE-IA, Vol., No. 3, Jun 4, PP. 4. [] M. Jml, M. Bouak, M. Godda and M. B. A. Kamoun, "MRAS Idntfcaton Schm fo Snol Indct Fld Ontd Contol of Inducton Moto Dv wth Roto Rtanc unng, Poc. of ICEM, uky 998, PP. 777. [3] M.N. Mawal, and A. Kyhan, "A compaatv tudy of oto flux bad MRAS and back EMF bad MRAS pd tmato fo pd nol vcto contol of nducton machn," IEEE-IAS Annual Mtng, 997, PP. 6 66. [4] Z. M. Salm, M. M. Khat, S. A. Kallah and S. A. Mahmoud, "Fou Quadant Spd Etmaton Bad on Modl Rfnc Adaptv Sytm," Engnng Rach Jounal, Vol.8, No., Apl, PP. 69 77. []. C. Huang and M. A. El-Shakaw, Hgh pfomanc pd and poton tackng of nducton moto ung mult-lay fuzzy contol, IEEE-EC, Vol., No, Jun 996, PP. 33 38. [6] B. Hb,. Xu, and Y. ang, Fuzzy ogc Enhancd Spd Contol of an Indct Fld Ontd Inducton Moto Dv, IEEE-PE, Vol., No., Spt. 997, PP. 77 778. [7] Bnoît Robyn, Fédéqu Bthau, Jan-Paul Haut, and Hvé Buy," A Fuzzy-ogc-Bad Multmodl Fld Ontaton n an Indct FOC of an Inducton Moto," IEEE-IE, Vol. 47, No., Apl, PP. 38-388. [8] Rong-Jong Wa, "Hybd Contol fo Spd Snol Inducton Moto Dv," IEEE anacton on Fuzzy Sytm, Vol. 9, No., Fbuay, PP. 6-38. [9] Xmng Chng and Mnggao Ouyang, "Study of Spd Fuzzy ogc Ral-m Contol Sytm of Inducton acton Machn Bad on a Sngl DSP Contoll," Sxth Intnatonal Confnc on Elctcal Machn and Sytm, 3 (IEEE Cat. No.3EX78), PP.. [] M.Abat, G.Gva, F.Pofumo, and A.ncon, Hgh Spd Snol Fuzzy-k unbg Obv, Pocdng of th 3th Annual IEEE Pow Elctonc Spcalt Confnc, PESC 99, Chalton, USA, Jun 999, PP. 477-48. [] Chn C- and Chang M-Hu, "Optmal Dgn of Fuzzy Sldng Mod Contol: A Compaatv Study," Intnatonal Jounal on Fuzzy St Sytm, Vol. 93, Januay 998, PP. 37 48. [] Monaco, Ana (7 Jun [lat updat]). "A Vw Ind th Cloud". thnttut..og (IEEE). Rtvd Augut,. [3] "Babuajan, Rajan, "h Rng Cloud Stoag Makt Oppotunty Stngthn Vndo," nfoech, Augut 4, ". It.tmcnt.com. -8-4. Rtvd --. [4] "Otch, Kn, "Convgd Infatuctu," CO Foum, Novmb, ". hctofoum.com. -. Rtvd --. [] "h NIS Dfnton of Cloud Computng". Natonal Inttut of Scnc and chnology. Rtvd 4 July. [6] Stachy, Chtoph (Jun 99). "m Shang n ag Fat Comput". Pocdng of th Intnatonal Confnc on Infomaton pocng, UNESCO. pap B..9: 336 34. [7] Cobató, Fnando J.. "An Expmntal m-shang Sytm". SJCC Pocdng. MI. Rtvd 3 July. [8] "Cloud Computng: Clah of th clou". h Economt. 9-. Rtvd [9] "Gatn Say Cloud Computng Wll B A Influntal A E-bun". Gatn. Rtvd -8-. [3] Guman, Galn (8-4-7)."What cloud computng ally man". InfoWold. Rtvd 9-6-. [3] Sungkap Yo and Hn-Hn S.," Ung Mathmatcal Modlng n Povonng a Htognou Cloud Computng Envonmnt", IEEE Comput Socty, AUGUS, pp-6 APPENDIX A. Moto Data and Paamt: A th-pha, 4-pol, 38V, Hz nducton moto of th followng paamt: ' R = 7.486 R = 3.684 =.433 H ' =.433 H m=.44 H J =. kg.m B. t of Pncpl Symbol; m R k, R, k k 3, b, -, V,V q-d ax tato voltag I, I q-d ax tato cunt, q-d ax tato flux lnkag R, R tato and oto tanc J, B momnt of nta and vcou fcton coffcnt,, m tato, oto and mutual nductanc, lctomagntc and load toqu AUHORS PROFIE D. Z. M. Elbabay: wa bon n Kaflhhk, Egypt, n 97. H cvd th B.Sc.,M.Sc., and Ph.D. dg n lctcal ngnng fom Mnoufya Unvty, Shbn El-Kom, Egypt, n 994,, and 7, pctvly. In 9, h jondkaflhhk Unvty a an Atant Pofo. H fl of ntt a ac moto dv; powlctonc and Sola ngy. D. M. A. Abba: Obtand h B.c n lctonc ngnng fom Manoua unvty, faculty of ngnng, Egypt,998, M.c dg n comput ngnng fom Manoua Unvty, and Ph.D dg n comput ngnng fom Manoua Unvty 8. Snc th dat h wokd a an atant pofo n Dlta unvty, Faculty of ngnng n dpatmnt of communcaton and comput ngnng. H cuntly wokng n dpatmnt of lctcal ngnng, Kng Khald Unvty, Abha, KSA. H aa of ntt ntllgnt ytm, mdcal nfomatc and bonfomatc. www.jaca.tha.og 8 P a g