Simulation Of Induction Motor Modelling In MATLAB Software.

Transcription

1 Intrnational Journal of Enginring Rarch & Tchnology (IJERT) ol. 2 Iu 4, April Simulation Of Induction Motor Modlling In MATLAB Softwar. Naintara Wanik Dpartmnt of Elctrical Enginring,Shri Ramdobaba Collg of Enginring and Managmnt, Nagpur, Maharahtra, India. Prof. M.. Palandurkar Dpartmnt of Elctrical Enginring,Shri Ramdobaba Collg of Enginring and Managmnt, Nagpur, Maharahtra, India. Abtract Induction Motor ha inhrnt coupling ffct du to it contruction. Any chang mad in th tator or rotor paramtr chang th othr paramtr alo. For xampl; both torqu and flux ar th function of voltag or currnt and frquncy. Thi man that whn torqu i incrad, flux tnd to dcra. Thrfor, chang of on paramtr affct th othr paramtr which i not dirabl. Thi papr prnt th dcoupling of paramtr trmd a Induction Motor Modlling. Induction Motor Modlling hlp to control ach paramtr paratly.. Introduction Induction motor i ud in vry indutry. Thrfor, it prformanc charactritic improvmnt will prov to b vry bnficial. By prforming Induction Motor Modlling, th paramtr which wr arlir intrdpndnt du to coupling ffct, now bcom indpndnt du d-coupling of paramtr. By propr controlling of th paramtr th currnt or voltag, frquncy, output torqu, pd can b controlld. Thrfor, Induction Motor Modlling hlp in controlling th paramtr which will giv th dird rult in th output. 2. Induction Motor Modlling In Induction Motor Modlling th thr-pha upply i convrtd to two-pha upply. Thi convrion i don with th hlp of Park Tranformation Matrix. Aftr convrion, on pha i known a d-axi and th othr pha i known a q-axi. Th upply currnt i in th tationary rfrnc fram. Hnc, th aftr th convrion from thr-pha to two-pha, th two axi currnt i alo in tationary rfrnc fram. It i mad into rotating rfrnc fram by adding unit vctor to th quation. q R iq Ll d r dr q Lm qr Llr iqr Fig.. Equivalnt (q-axi) circuit of induction motor Fq q b Fqr qr b Fd d b Fdr dr b qr 2254

2 Intrnational Journal of Enginring Rarch & Tchnology (IJERT) ol. 2 Iu 4, April Ll L Lm inθ to convrt th two pha in ynchronouly rotating rfrnc fram. Llr Lr Lm Th abov quation how th flux linkag and mutual inductanc of induction motor. R id Ll Llr idr q r qr d Lm d dr dr Fig. 2. Equivalnt circuit (d-axi) of induction motor Park Tranformation matrix in Simulink:- 2 an a0 2 bn b cn 2 c0 But th abov 3 matrix 3 i 3in impl form, thrfor cannot b implmntd. It nd unit vctor to convrt th d-q axi in ynchronouly rotating rfrnc fram. Fig. 3. Implmntation of Park Tranformation in Simulink Equation in th form of flux linkag:- dfq b q Fd b dfd dfqr b d Fq b r b qr b R R dfdr r b dr Fqr Fmd Fdr b Mutual Flux linkag ar calculatd a givn blow:- Fdr Fmq Fq Fmd Fd Fmq Fqr q 0 d 0 3 q d q.co q.in 0 3 an bn cn d.in d.co Fq Fqr Fmq Xml Fd Fdr Fmd Xml Th abov matrix i ud in Simulink to gt th d and q axi voltag with th hlp of unit vctor, coθ and 2255

3 Intrnational Journal of Enginring Rarch & Tchnology (IJERT) ol. 2 Iu 4, April Onc, th flux linkag ar known, dirct-axi and quadratur-axi currnt can b formulatd a givn blow:- iq Fq Fmq Fig. 4. Simulation implmntation of mutual flux Putting th quation w gt:- dfq dfd dfqr dfdr b q Fd b b d Fq b r b b b r b Fdr Fqr R R Xml Xml Fqr Fq Xml Xml Fdr Fd Xml Xml Fq Fqr Xml Xml Fd Fdr id iqr idr Whr, Fd Fmd Fqr Fmq Fdr Fmd d - dirct axi q - quadratur axi - tator variabl r - rotor variabl F - flux linkag q, d - q and d-axi votag qr, dr - q and d-axi voltag Fmq and Fmd - q and d-axi magntizing flux linkag tator lakag ractanc rotor lakag ractanc Fig. 6. Simulation implmntation of q-axi currnt quation Finally th torqu can b calculatd a:- Fig. 5. Simulation implmntation of flux quation. T 3 2 P Fd.iq Fq. id 2 b Similarly, rt of th flux quation can b implmntd. Whr, T i lctromagntic torqu 2256

4 Intrnational Journal of Enginring Rarch & Tchnology (IJERT) ol. 2 Iu 4, April Tl - load torqu ω tator angular lctrical frquncy ωb motor angular lctrical ba frquncy ωr rotor angular lctrical pd Fig. 7. Simulation implmntation of torqu quation Th pd calculation i calculatd a givn blow:- 2 dr T Tl J P Fig. 8. Simulation implmntation of pd quation convrtd into vq and vd. Dpnding upon th voltag, lf flux linkag ar found. Thn with th hlp of th flux linkag, mutual flux linkag ar obtaind. Th two-pha currnt, iq and id ar calculatd with th hlp of th mutual flux linkag. Th two currnt giv final torqu T i.. lctromagntic torqu. Hr th currnt id i orintd in th dirction of flux and th currnt iq i orintd in th dirction of torqu. Sinc th variation of flux giv luggih rpon, it i kpt contant. Thrfor, to control th output torqu, currnt iq i controlld. Thi i th major bnfit of Induction Motor Modlling which giv d-coupling ffct and alo th paramtr can b indpndntly controlld. 4. Simulation rult Figur hown blow how th lctromagntic torqu and th load torqu. Th load torqu i givn a tp input. Thi tp input act a a variabl load torqu. 3. Simulation diagram Fig. 0. Simulation rult of lctromagntic torqu matching th load torqu Hr, th lctromagntic torqu i matching th load torqu, aftr th initial tranint. Thrfor, Induction Motor Modlling provid th facility of indpndnt control ovr th paramtr to gt th dird output. Alo any additional control tchniqu can b applid to th input id of induction motor aftr th Induction Motor Modlling i don for bttr and indpndnt control of paramtr. Fig. 9. Simulation diagram of induction motor Modlling Th thr-pha upply i convrtd into two-pha upply by Park Tranformation, i.. va, vb and vc i 2257

5 Intrnational Journal of Enginring Rarch & Tchnology (IJERT) ol. 2 Iu 4, April Fig.. Simulation rult of pd of induction motor 6. Rfrnc [] Dal Y. Ohm, Dynamic Modl of Induction Motor forn ctor Control. [2] Burak Ozpinci & Lon M. Tolbrt, Simulink Implmntation of Induction Machin Modl A Modular Approach, /03/$ IEEE [3] A A Anari, and D M Dhpand, Mathmatical Modl of Aynchronou Machin in MATLAB Simulink, A. Anari t. al. / Intrnational Journal of Enginring Scinc and Tchnology ol. 2(5), 200, [4] Sifat Shah, A. Rahid, and MKL Bhatti, Dirct Quadrat (D-Q) Modling of 3-Pha Induction Motor Uing MatLab / Simulink, Canadian Journal on Elctrical and Elctronic Enginring ol. 3, No. 5, May 202 [5] M.. Palandurkar, J.P. Modak and S. G. Tarnkar, Elimination of a Flywhl in a Proc Machin by Controlling Powr Frquncy of th Main Driv, M.. Palandurkar t al. / Intrnational Journal of Enginring Scinc and Tchnology (IJEST), ISSN : ol. 3 No. 4 April 20 [6] Lionl Hutt, Donald ollrath and Cay Cary, Modrn F Driv, Educational Focu: Elvator Driv Sytm [7] Dong Hwa Kim, Kaoro Hirota, ctor control for lo minimization of induction motor uing GA-PSO, Applid oft computing, olum 8, Iu 4, Sptmbr, [8] Paul C. Krau, Olg Waynczuk and Scott D. Sudhoff, Analyi of Elctric Machinry and Driv Sytm, Scond Edition, IEEE Pr [9] Bimal K. Bo, Modrn Powr Elctronic and AC Driv, Prntic Hall PTR, [0] R. Krihnan, Elctric Motor Dvic, modling, Analyi and control,prntic-hall, Inc., Nw Jry, 200. Fig. 2. Simulation rult of Park Tranformation matrix, i.. d-q axi currnt which ar 90ᵒ apart 5. Concluion Induction Motor Modlling hlp u to d-coupl th paramtr. It giv th advantag of indpndnt control ovr th paramtr. Alo any advanc control tchniqu can b applid to Induction Motor Modlling to nhanc th prformanc of induction motor conidring Induction Motor Modlling a th ba tchniqu. In thi modlling, w find dirct-axi and quadraturaxi currnt. Thi how that id and iq ar 90ᵒ apart from ach othr, id li in th dirction of flux and iq li in th dirction of torqu. Thrfor th paramtr ar aily accibl for control which wa not poibl without thi tchniqu. Hnc, paramtr bcom indpndnt variabl bcau of which chang of on paramtr do not affct th othr paramtr. 2258