Dynamic Modeling and Simulation of a 3-HP Asynchronous Motor Driving a Mechanical Load.

Transcription

1 Dynac Modelng and Sulaton of a 3-HP Aynchonou Moto Dvng a Mechancal Load. C.U. Oguka, M.Eng. Depatent of Electcal Engneeng, Unvety of Ngea, Nukka, Ngea. E-al: ucoguka@yahoo.co ABSTRACT The qd0 tanfoaton theoy appled n dynac odelng and ulaton, on the tatonay efeence fae, of a 3-hp aynchonou oto vng a 20N- echancal load. The yte of dffeental equaton epeentng the dynac tate ehavo of the achne, a developed, ae pleented n SIMULINK. The effect of the pogaed equence of echancal loadng on the oto output vaale naely: Phae Cuent, Moto Speed, and Electoechancal Toque ae eaned. The eult otaned clealy how the elegance of the qd0 tanfoaton theoy n achne odelng and the nheent ltaton of the dect-on-lne tatng of aynchonou oto a evdent n the ece tatng cuent. (Keywod: aynchonou oto, dynac odelng, tatonay efeence fae, MATLAB/SIMULINK INTRODUCTION Aynchonou (Inducton achne ae the ot wdely ued n nduty ecaue of the outne, elalty, low cot, hgh effcency and good elf-tatng capalty [1, 2]. The nducton oto, patculaly wth a quel cage oto, the ot wdely ued ouce of echancal powe fed fo an AC powe yte. It low entvty to uance dung opeaton ake the quel cage oto the ft choce when electng a oto fo a patcula applcaton [3]. Inducton oto ae eng ued oe than eve efoe n nduty and ndvdual achne of up to 10 MW n ze ae no longe a aty [ 4]. Dung tat-up and othe evee otong opeaton, the nducton oto aw lage cuent, poduce voltage dp, ocllatoy toque and can even geneate haonc n the powe yte [5, 6]. It, theefoe, potant to e ale to pedct thee phenoena. Vaou odel have een developed and the qd0 o two a odel fo the tudy of tanent ehavo ha een teted and poved to e vey elale and accuate [4]. It ha een hown that the peed of otaton of the d,q ae can e atay although thee ae thee pefeed peed o efeence fae a follow [7]: (a The tatonay efeence fae when the d,q ae do not otate. ( The ynchonouly otatng efeence fae when the d,q ae otate at ynchonou peed. (c The oto efeence fae when the d,q ae otate at oto peed. It uually oe convenent to ulate an nducton achne and t convete on a tatonay efeence fae; the odel peented n th pape on a tatonay efeence fae [8]. Th offe a ound foundaton fo the vaou vaale peed cloed loop contol chee of thee phae nducton oto [9]. ASYNCHRONOUS (INDUCTION MACHINE MODEL IN STATIONARY qd0 REFERENCE FRAME The odel equaton of the Thee Phae Aynchonou (Inducton Machne n the tatonay qd0 efeence fae ay e eaanged nto the followng fo fo the pupoe of dynac ulaton [8]. vq q q = ω + ( (1 l The Pacfc Jounal of Scence and Technology 77 Volue 10. Nue 2. Novee 2009 (Fall

2 vd d d = ω + ( (2 l ω 0 = ( v0 0 l ω v = ω + + ( ω (3 (4 q = + M (13 l d = M + (14 l The equaton of oton of the oto otaned y equatng the neta toque to the acceleatng toque: ω v = ω + ( ω (5 dω J = T e + T ech T dap (15 ω 0 = ( v0 0 q = ( lq q = ( d + + = + Iplyng that, q d l ld (6 (7 q = (8 + d = Iplyng that, l d = (9 = + Iplyng that, = (10 = + Iplyng that, = (11 Whee, = + + (12 M and l Whee ω =ae peed, ω =oto peed, =tato etance, l =tato eactance, =oto efeed etance, =oto efeed eactance, =agnetzng eactance, M =achne equvalent ta eactance, T e =electoechancal toque, T ech =etenally appled echancal load toque, T dap =dapng toque, J =coned oent of neta, v q =q-a tato voltage, v =d-a tato voltage, d v =d-a efeed oto voltage, v =q-a efeed oto voltage, v 0 =zeo equence tato voltage, v 0 =zeo equence oto voltage, q =q-a tato cuent, d =d-a tato cuent, 0 =zeo equence tato cuent, =q-a efeed oto cuent, =d-a efeed oto cuent, 0 =zeo equence oto cuent, The Pacfc Jounal of Scence and Technology 78 Volue 10. Nue 2. Novee 2009 (Fall

3 q =q-a tato flu lnkage pe econd, d =d-a tato flu lnkage pe econd, =q-a efeed oto flu lnkage pe econd, =d-a efeed oto flu lnkage pe econd, =d-a agnetzng flu lnkage pe econd, and econd. =q-a agnetzng flu lnkage pe SIMULINK IMPLEMENTATION OF THE ASYNCHRONOUS MACHINE MODEL The deved equaton epeented aove ae odeled ung the uyte appoach n SIMULINK. SIMULINK a tool o etenon of the MATLAB poga. It a gaphcal oue-ven poga fo ulatng dynac yte. It a oftwae package that enale the ue to ulate lnea a well a non-lnea yte ealy and effcently. The Gaphcal Ue Inteface (GUI of SIMULINK enale the uldng of odel ung clck and ag oue opeaton. Fgue 1: The Coplete SIMULINK Model of Thee Phae Aynchonou Machne The u-odel of the vaou uyte n the coplete SIMULINK odel ae hown elow (Fgue 2 A-F. (B (A The Pacfc Jounal of Scence and Technology 79 Volue 10. Nue 2. Novee 2009 (Fall

4 SAMPLE MACHINE DATA (C Rated Phae Voltage 220V Wndng Connecton Sta Rated Fequency 60Hz Nue of Pole 4 Rated Speed 1800p Stato Retance 0.435Ω Roto Refeed 0.816Ω Retance Stato Reactance 0.754Ω Roto Refeed 0.754Ω Reactance Magnetzng 26.13Ω Reactance Moent of Ineta 0.089Kg. 2 Powe Ratng 3-Hp SIMULATION RESPONSE CURVES (D Fgue 3: Phae Voltage V ag agant Te. (E (F Fgue 2 (A-F: Suyte Model of the Coplete SIMULINK Model. Fgue 4: Etenally Appled Mechancal Load Toque agant Te. T ech The Pacfc Jounal of Scence and Technology 80 Volue 10. Nue 2. Novee 2009 (Fall

5 Fgue 5: Phae Cuent,, and agant Te. a c T e Fgue 8: Electoechancal Toque agant Te Fgue 6: Pe-Unt Speed ω ω agant Te. Conequently, wth ated voltage appled, the tatng cuent lage, n oe cae n the ode of 10 te the ated value. Th oeved n Fgue 5 and a ajo ltaton of the dect-on-lne tatng of the oto. It, theefoe, ecoended that educed voltage tatng ethod uch a ta/delta, auto tanfoe, and oft tat ethod e eployed to educe the ece tatng cuent. It oeved n Fgue 7 that the oto acceleate fo tall wth zeo echancal load toque and, nce fcton and wndage loe ae not taken nto account, the achne acceleate to ynchonou peed. The applcaton of 20N- echancal load toque at 3 econd, a llutated n Fgue 4, eult n a hap op n the oto peed of Fgue 7 and an nceae n the electoechancal toque n ypathy wth the appled echancal loadng fo [ ] N- n the te equence [ ] Second, [ ] Second, [ ] Second epectvely a hown n Fgue 8. Fgue 6 the pe-unt peed ued to copae the actual oto peed and the ated peed. The appled echancal loadng hown n Fgue 4 n negatve ene nce the achne opeatng a a oto. Fgue 7: Moto Speed ω agant Te. OBSERVATIONS At tall, the nput pedance of the aynchonou oto eentally the tato etance and leakage eactance n ee wth the oto etance and leakage eactance. CONCLUSION Fnally, th pape ha deontated the elegance of SIMULINK n the Dynac Modelng and Sulaton of a 3-hp Aynchonou Moto Dvng a Mechancal Load. Wth the odel developed, the ue ha acce to all ntenal vaale fo gettng an nght nto the oto opeaton. The ulated oto yetcal and wndage and fcton loe ae aued The Pacfc Jounal of Scence and Technology 81 Volue 10. Nue 2. Novee 2009 (Fall

6 neglgle fo eae of analy. Futhe eeache ae ecoended n the aea of cloed loop peed contol fo adjutale voltage and peed ve. REFERENCES 1. Rchad, M.C Electc Dve and The Contol. Ofod Unvety Pe: New Yok, NY. 2. Okoo, O.I Dynac Modelng and Sulaton of Squel-Cage Aynchonou Machne wth Non-Lnea Effect. Jounal of ASTM Intenatonal. 2(6: Electc Machne Toque/Speed Contol wth Convete and Invete and Powe Electonc. SUGGESTED CITATION Oguka, C.U Dynac Modelng and Sulaton of a 3-HP Aynchonou Moto Dvng a Mechancal Load. Pacfc Jounal of Scence and Technology. 10(2: Pacfc Jounal of Scence and Technology 3. Otovc, V Copute-Aded Analy of Electc Machne. Pentce Hall Intenatonal: London, UK. 4. Lee, R.J., Pllay, P., and Haley, R.G. 1984/1985. D,Q Refeence Fae fo the Sulaton of Inducton Moto. Electc Powe Syte Reeach. 8: Kaue, P.C. and Thoa C.H Sulaton of Syetcal Inducton Machney. IEEE Tan. PAS : Pllay, P. and Haley, R.G Copaon of Model fo Pedctng Dtuance Caued y Inducton Moto Statng. SAIEE Sypou on Powe Syte. 7. Kaue, P.C. and Thoa C.H Sulaton of Syetcal Inducton Machney. IEEE Tan. PAS Ong, C.M Dynac Sulaton of Electc Machney Ung MATLAB and SIMULINK. Pentce Hall PTR: New Jeey. 9. Oguka, C.U Apect of Inducton Moto Stato Voltage and Fequency Contol. Unpulhed M.Eng The Depatent of Electcal Engneeng, Unvety of Ngea, Nukka. ABOUT THE AUTHOR Eng. Oguka, Coa Uchenna eceved h B.Eng. Degee (Ft Cla Hono and M.Eng Degee (Dtncton n 2004 and 2009, epectvely n the Depatent of Electcal Engneeng Unvety of Ngea, Nukka whee he peently wok a a Lectue/Reeach Student. H eeach nteet ae n Adjutale Speed Dve of Electcal Machne: (DC and AC The Pacfc Jounal of Scence and Technology 82 Volue 10. Nue 2. Novee 2009 (Fall