ntenational Jounal of Compute Science an Electonic Engineeing (JCSEE) olume, ue (0) SSN 0 408 (Online) Moeling an Simulation of uctance moto uing igital compute Motafa. A. Fellani, an Daw. an E. Abai Abtact Simulink i avance oftwae by Math Wok nc., which i inceaingly being ue a a baic builing block in many aea of eeach. A uch, it alo hol geat potential in the aea of AC ive ytem moeling an imulation. n thi pape, we have taken a eluctancemachine a an example to emontate the featue an cope of a Simulinkbae moel fo tanient tability analyi of the imulate eluctancemachine. A elf ufficient moel ha been given with full etail, which can wok a a baic tuctue fo an avance an etaile tuy[]. Keywo MALAB imulation; eluctancemachine moeling; Simulink; tanient tability. NRODUCON HE tability of eluctancemachine ha been an continue to be of majo concen in the aea of AC moto ive. anient tability of eluctancemachine i the ability of the moto ytem to maintain ynchonim when ubjecte to a evee tanient itubance an moto paamete change. uctance moto ive imulation ha attacte enewe inteet in ecent yea [6). Hitoically, imulation of moto ytem an it tanient phenomena ha been caie out uing iffeent pogamming language uch a C an FORRAN. he moto imulation uing thee pogamming language i vey complicate an ha to achieve. With the help of imulation oftwae package uch a MALAB & SMULNK, many kin of motoinvete contol ytem can be eaily mae, by uing the imulating moel an contol block. All paamete can alo be change on line o the bette contolling paamete ae conveniently etemine MALAB i ue in contolle eign an optimization fo iffeent moto ive, but oe not inclue eluctance moto. he moel of Synchonou eluctance motoinvete Contol Sytem i a vey complete high oe, nonlinea, multiple vaiable an timevaying ytem, o thee i no geneal implement in fom of MALAB & SMULNK an epot about thi i not een. t i neceay theefoe to implement Synchonou eluctance motoinvete contol ytem uing MALAB & SMULNK. n oe to tet the ynamic pefomance of the eluctance ynchonou moto ive, Compute moeling an imulation can be ue. D.E. Abai i with the Contol Engineeing epatment, Faculty of Electonic echnology, BeniWali, Libya. Phone No. 897565 E Mail:Dawabai@gmail.com. M.A. Fellani i with the Contol Engineeing epatment, Faculty of Electonic echnology, BeniWali, Libya. Phone No.8977497 Email: Fellani006 @yahoo.com hi will euce the expene an length of the eign cycle of the eal ive ytem befoe pototype contuction begin. Moeling can be one with the help of mathematical euation. n thi pape, a eluctance ynchonou moto moel bae on the twoaxi theoy i eive an implemente igitally uing SMULNK oolbox. he ive ytem i moele uing MALAB an SMULNK. he ynamic euation an imulation eult ae given. he paamete of an expeimental machine ae ue a bae paamete to imulate the ytem an tuy the ynamic pefomance[]. he imulation i bae on the ieal moel of the eluctance ynchonou moto with aliency atio of 6. hi atio i a nominal one electe fo the imulation pupoe, though highe atio can be achieve with moem eign of RSM. n the imulation, the ynamic an tanient pefomance ae tuie uing ynchonouly otating efeence fame. he invete (PWM invete) i igitally moele uing MALAB.. MALAB SMULNK MOOR MODELLNG Matlab compie of a ange of toolboxe an block et uch a Simulink toolbox, communication toolbox, contol ytem toolbox, etc. epening on application euiement. Fo moto ive ytem moeling, the Simulink toolbox povie the euie component fo the ive imulation. Simulink i a pogam fo imulating ynamic ytem an Matlab povie poweful evaluation of the imulation eult. t follow the pinciple of moula eign, objectoiente eign, euable block, uppot fo poject hieachy an elfocumentation, becaue it inheently illutate the algoithm being pefome. hi ection will look at how the moelling an imulation of a ynchonou eluctance moto can be caie out uing MALAB/SMULNK oftwae[]. A in all ytem activitie, it i ueful to plit the ytem into malle functional block an then eign an tet each iniviually. he popoe RSM ive ytem i plit into eveal malle pat (ubytem) fo the pupoe of moeling. hee conit of, the eluctance ynchonou moto electical an mechanical block, the vecto contolle, an PWM invete. he imulation moel of the moto wa fome fom the ynamic euation, which ecibe the moto. n oe to imulate any machine the electical paamete mut be known. hey can be eithe meaue o calculate. he paamete euie fo the RSM moto imulation ae: the tato eitance R, the moment of inetia J, moto fiction coefficient K, the numbe of pole pai P an the iect an uaatueaxe elf inuctance L an L epectively. he 48
i ntenational Jounal of Compute Science an Electonic Engineeing (JCSEE) olume, ue (0) SSN 0 408 (Online) RSM moto moel employe in thi imulation i a moel in ynchonouly otating efeence fame. heefoe the tationay thee phae ytem of the moto ha to be tanfome into ynchonouly two phae ytem, i.e. moel, o vice vea [5,6]. he euation which ecibe the behavio of the eluctance ynchonou moto can be eive fom it axi euivalent cicuit figue.. λ t = R ω λ (6) he electomagnetic toue euation fo the ynchonou eluctance moto in the ynchonou efeence fame i given by: e = p( λ λ ) (7) R L ω L i ω t J P = e he toue euation in Laplace omain i L (8) R L = p( L L ) ii ( B JS) (9) ω L i ω = (0) t Fig.. Synchonou eluctance moto axi euivalent cicuit he ynamic moel of ynchonou eluctance moto in fame can be epeente by the following euation: λ ω = R λ () t Whee, B an J ae the amping faction an the moto moment of inetia epectively an p i the numbe of pole pai an P P= ωrr. Uing the above euation, the moto can be imulate in the SMULNK oftwae a hown in figue. he tanfomation fom phae to phae an fom tationay efeence fame (α,β) to ynchonou efeence fame (, ) wa accomplihe uing euation an hown in the tanfomation block in figue. R in co co Ra = R () b R co in in Rc R in thi euation coul be voltage, cuent o flux λ ω = R λ () t λ = L () λ = L (4) Whee, L an L ae the iect an uaatue axi wining elf inuctance (H), R i the tato wining eitance (Ω) an ωrr the oto angula pee in (a pe econ) an it i eual to P P. Fom euation () an (), the ate of change of flux can be obtaine a follow: λ t = R ω λ (5) R / / /L /L B / /J / (/)P Cuent 4 5 6 Cuent Spee ω Poition ι Loa toue Flux λ R Flux λ Fig. Simulate ynchonou eluctance moto ive 49
ntenational Jounal of Compute Science an Electonic Engineeing (JCSEE) olume, ue (0) SSN 0 408 (Online) a, b, / / co(u[]),. NERER MODEL SMULAON n oe to vay the pee in eluctance ynchonou moto, it i neceay to contol both the voltage an the feuency applie to the moto teminal. he mot common way i to ue an invete bige, hown in figue 5, that conit of thee witche which connect each moto teminal to eithe the poitive o the negative ail of a contant D.C voltage ouce. in(u[]) in(u[]) co(u[]), M Fig. to phae an tationay to ynchonou efeence fame tanfomation he tanfomation fo the invee opeation i.e. fom ynchonou to tationay efeence fame an fom phae to phae i obtaine uing euation an it i a hown in figue 4. in co X a X () X b = (in co ) ( in co ) X c X ( co in ) ( in co ),, t( )/ in( [] co( []) 0 in( [] co( []) tanfomation t( 0 )/ t( )/ 0 t( )/ 0 Fig. 4. to phae an ynchonou to tationay efeence fame a a Fig. 5 oltage ouce tanito invete cicuit he implementation of the thee phae inuoial PWM invete une SMULNK envionment i a hown in figue 6. he input ignal to the invete ae; the funamental feuency, moulation inex, an caie feuency. Output ignal fom the invete ae thee phae voltage [4]. Repea eue ignal (b) ignal (c) c link Swi Swit Swit c c link n Fig. 6. SNULNK moel of voltage ouce PWM invete. MOOR DRE SYSEM SMULAON Fo tanient tability tuy, the complete ynchonou eluctance moto ive ytem ha been epeente in tem of Simulink block. he Simulate ytem i a hown in Figue.7. he ytem conit of main component: a moto, / / / 50
ntenational Jounal of Compute Science an Electonic Engineeing (JCSEE) olume, ue (0) SSN 0 408 (Online) an invete an contolle. he moto i phae ynchonou eluctance with amping wining. he convete conit of a thee phae voltage ouce invete which powe the tato of the moto. he invete witche ae iven by a PWM unit, an the gate ae tiggee by the line voltage eo ignal of the moto, an caie by a tiangula wave of the PWM ouce. he cuent an poition eno ae ue with a pecific efeence fo the feeback contol, an the owaxi tanfomation block ae applie [8]. & cuent calculat γ to phae an ynchonou to tationay tanfomatio n a b c Cuent contolle PWM voltage ouce inv. Fig. 8 Simulation block iagam fo the SRM ive ytem n the imulation, the vaiou paamete ae obtaine fom a pactical ynchonou eluctance machine. he contol apect ae tuie uing ynchonouly otating efeence fame. Uing the imulation iagam of figue 8, the effect of contolle on the ive tanient pefomance ae tuie. ω P pee ll ω Fig. 7. iniect cuent vecto contol block iagam fo RSM moto n oe to tat imulating the ive ytem, the paamete mut be known. hey can be eithe calculate o meaue a in thi invetigation. he paamete of the eluctance ynchonou moto, ue fo imulation ae a hown in able. ABLE PARAMEERS OF HE RELUCANCE SYNCHRONOUS MOOR Paamete alue Unit. L 0.6 H L 0. H R 4 Ώ J 0.0006 K~m K 0.009 Nm P f 5 Hz n oe to examine the pefomance of uch a ive ytem SMULNK wa ue to imulate the ive ytem. A complete ynamic moel fo tanient tability tuy of a ynchonou eluctance moto ive ytem wa evelope uing Simulink a hown in figue 8. t i baically a tanfe function an block iagam epeentation of the ytem euation. he voltage comman ignal which ae obtaine in the ynchonou otating efeence fame ae tanfome back to the tato efeence fame an then ue to witch the voltage ouce PWM invete [,7]. RS M. DRE SMULAON RESULS hi ection peent imulation eult fo the ynchonou eluctance moto ive. he ive ytem with vecto contol metho ha been imulate uing Matlab & Simulink oftwae package an the ynamic epone have been obtaine a hown in Figue (9,0,). he imulation eult ae bae on a pole ALAoto RSM moel, whoe L an L inuctance ae meaue expeimentally [,0]. o tet the tanient tability of the popoe ynchonou eluctance moto ive ytem, the moto un at iffeent efeence pee of ω =00,400,600an 800 a pe econ. Figue 9 how the epone of the moto ive fo pee efeence of 00 an 400 a/ec fo a nominal value of moto inuctance of L =0.6. Figue 0 how the epone of the moto ive fo pee efeence of 600 an 800 a/ec fo a nominal value of moto inuctance of L =0.6. Fig. 9 moto pee epone fo efeence pee value of 00 an 400 a/ec with nominal value of moto inuctance L =0.6. 5
ntenational Jounal of Compute Science an Electonic Engineeing (JCSEE) olume, ue (0) SSN 0 408 (Online) language, uch a C, FORRAN an othe competitive oftwae. n thi pape the obutne an flexibility of the SMULNK/MALAB moeling package ha been hown. he tanient pefomance of eluctance moto ive ytem ha been analyze by uing MALAB & SMULNK. Although the moel of the eluctance moto i complicate, the implement pouce in thi pape i accuate an ueful. With MALAB & SMULNK facilitie, eluctance motoinvete contol ive ytem can be iectly implemente an imulate. he configuation an all paamete of contol ytem can be eaily change on line. he imulation eult how that the eluctance moto ha goo epone ove a wie pee ange an theefoe imulation eult give moe confience in uing SMULNK a a imulation tool fo the RSM ive. Fig. 0 moto pee epone fo efeence pee of 600 an 800 a/ec with nominal value of moto inuctance L =0.6. Figue how the pee epone when tep loa toue i applie to the moto at nominal value of L =0.6 an R =8 Ω at efeence pee of ω =400 a pe econ. ime (econ) REFERENCES [] Betz. R.E, heoetical apect of contol of ynchonou eluctance machine Poc EE. ol B 9, no 4, 99, pp 5564. [] Bolea,. an Naa, S.A Emeging electic machine with axially laminate aniotopic oto a eview, ibi Elect Mach. Powe Sy, 9 (6), 6770, 99. [] Bolea,. an Naa, S A, ecto Contol of AC Dive, CRC Pe, Boca Raton, USA, 99. [4] Bolea,, Fu, Z.X. an Naa, S.A, Digital imulation of a vecto contolle oto ynchonou moto evoive, Elect Mech. axiallylaminate aniotopic (ALA) Powe Sy., ol 9.99, pp 4544. [5] Fletche, J.E Geen, C an William,.J.E., ecto contol of a ynchonou eluctance moto utilizing an axially laminate oto, EE Powe Elect. an vaiable pee ive, 68 Oct., 994. [6] Fatta, A. an agati, A., A eluctance moto ive fo high ynamic pefomance application, Reco of EEE 4AS. 987, Annual Meeting, pp.950. [7] Lawenon P.J an Gupta, S.K, Development in the pefomance an theoy of egmental oto eluctance moto, Poc. JEE. ol 4, No 5, May. 967, pp.6455. [8] Liang, L., Xu, L. an Lipo,.A., analyi of vaiable pee oubly A.C excite eluctance moto, Elect Mach Powe Sy. ol.9. no..99, pp 58. [9] Bolea, Z.., an Naa, S.A., oue vecto contol (C) of axiallylaminate aniotopic (ala) oto eluctance ynchonou moto, Electic Machine an Powe Sytem, vol. 9, pp. 8 98, 99. [0] Sawata,., Kjae, PC., Coa C., Mille HE., A tuy on opeation une fault with the inglephae SR Geneato, th Annual Applie Powe Electonic Confeence, Anaheim, USA, 5 9 Febuay 998, ol., pp.040046, 998. [] he Math Wok nc., SMULNK Ue Guie, Apil 996. [] Math Wok nc., MALAB Ue Guie, Mach 997. Fig. moto pee epone to tep loa change. CONCLUSONS hi pape ha coniee imulation of the ynchonou eluctance machine ive ytem uing Matlab/Simulink oftwae. he main motivation wa ue to the numeou avantage, the matlab ha ove the othe pogamming 5