J. Eng. Sri. King Saud Univ. Vo. II pp. 141-146 (1985) Proposed Digia Simuaion or Conroed Sip Drive Nomencaure [e] e [ev]" I j [i] I' ) [L] L' I L' I M n p P R' R' T TL [V] \I W' XIX Z ( 8 ii AI connecion marix ier capaciance deined marix synchronous requency uncion sip requency o he undamena requency I speed dependen impedance marix speed dependen impedance marix a inerva n or ime na genera curren vecor curren vecor a ime inerva [(na)] ranspor o marix [i] roor curren reerred o saor anguar momen o ineria speed independen inducance marix roor eakage inducance reerred o saor saor eakage inducance magneizing inducance inerva number number o poe pairs he derivaive d/d roor resisance per phase reerred o saor saor resisance per phase eecromagneic orque oad orque voage vecor orced uncion roor eecric anguar requency sae variabes impedance hyrisor iring ange roor anguir dispacemen roor anguar speed ime inerva.)}-'i-" UI wl " -L..b J5 " ( \.) "I 'JI.U. JI ".>; I WI "..cj\...l..: 141
142 M.A.S. Mansour and M.A. Ahaider 1. Inroducion The deveopmens achieved or he variahe-speed inducion moor drive sysems incorporaing soid-sae power eecronics made i possibe o be uiized in many appicaions [I]. One o hese deveopmens is he operaion a conroed-sip roor requency. This yieds suiabe drive characerisics or racion and high saring orque demand appicaions. Thereore a simuaion o such ype o drive becomes a necessiy o predic is perormance beorehand. A simuaion mode or a ixed-sip drive has been presened earier [2]. This mode can be exended o cover he conroed-sip requency ype o drives. This eer presens a mehod or simuaing he conroed-sip variabe speed convererinverer inducion moor drive sysem. The proposed simuaion akes ino consideraion he eecs o he source and ier ime consans converer swiching moor and oad dynamics as we as harmonics. This deveoped simuaion coud be adoped successuy or opimizing he drive sysem perormance. Proposed Digia Simuaion For Conroed Sip Drive ranges. I is conroed auomaicay by receiving a signa rom he achomeer on he moor sha which indicaes he moor mechanica requency [3]. The ampiude o he oupu voage can be varied (in he case o using AC/DC converer) by he operaor command. Thereore he moor simuaion derived rom he previous anaysis [21 may be arranged as oows. The moor impedance a a sip Z= in he roor has he oowing orm: M) +J21r ( I) 143 2. Simuaion Mode Basics A conroed-sip drive sysem can be schemaicay represened by he bock diagram shown in Fig. 1. The DC power source in connecion wih he inverer provides a conroabe requency hree-phase suppy o he inducion moor. The suppy requency is varied o mach he moor requiremens or he operaion speed o ( converer Inverer J Phase InducIOn moor LOAd Equaion (I) indicaes ha or a given moor is impedance is a uncion o boh sip and synchronous requencies. I he moor is operaing a a ixed-sip requency is impedance approximaey varies wih is synchronous requency [3). and Consequeny moor curren and orque are: I"" V/IZI (2) T O.2388(2P) R' (T')2/ (3) Fig. 1: Tg ger conro Schemaic Diagram o he Conroed-Sip Indueon Moor. operaor co nro I is cear rom equaion (3) ha he produced orque in such a case is a uncion o he roor curren and sip requency. I can aso be observed ha he orque and curren equaions are simiar o hose corresponding o a DC series moor. This demonsraes ceary ha he conroed-sip requency drive has a wide range o DC series moor characerisics. Hence i can be empoyed successuy or racion purposes. The above-menioned reaionships can be uiized o simuae he drive sysems by he bock diagram shown in Fig. 2. There are hree inpus corresponding o he appied voage synchronous and sip requencies. The oupu ermina yieds he orque. This simuaion was used propery o achieve opimaiy or a seeced sysem perormance [31. One o he drawbacks o his simuaion is ha i considers an idea inverer perormance and ignores ier and source ime consans converer swiching and oad dynamics. These eecs may ead o considerabe errors in cases when he sysem sabiiy design and opimizaion become margina. Journa o Eng. Sci. Vo. 11 No. I (1985). Coege o Eng. King Saud Univ. J...:U 1 w. -L'...).\ ( \-e) J.' J..A.. I S;'';''i \.w\ _G\ ':;.J\
144 M.A.S. Mansour and M.A. Ahaider Proposed Digia Simuaion For Conroed Sip Drive 145 E!";vQrer gain!s CR Converer SCR Con srar.s in.\ C.D C Lri< Cor>wrson Iph 4 e moor dynamic Voage progrdmmer r;:mm.r... rt '--_--_...J 8 Fig. 3: Over.1 Simuaion or Converer-Inverer Inducion Moor Drive wih Conroed-Sip Frequency. Fig. 2: Boek diagram Represenaion o Conroed-Sip Indueion Moor Drive Sysems Powered Through 3 Phas.s. A digia simuaion [2] was deveoped aking ino consideraion he previousy menioned acors. This simuaion wi be exended and modiied in his eer o represen he operaion o he conroed-sip requency ype o drive. 3. Modiied Overa Simuaion The srucure eaures o he modiied simuaion or he converer-inverer inducion moor drive are represened by he bock diagram shown in Fig. 3. The mode is based on he drive scheme shown in Fig. I. The bock diagram represenaion o Fig. 3 is derived rom he deaied anaysis inroduced in The signa m' produced by he achomeer on he moor sha is ed o he ogic and conro circuiry. This produces an oupu requency which represens he moor synchronous requency The voage ampiude is conroed by varying he converer iring ange signa a. This signa is produced by he ogic and conro circuiry according o he synchronous requency. The reevan equaions governing he operaion o bocks 1.234 and 5 are as oows: and po= [Pi]" = + PiII" h [XI] [ 0 I 0 ] P X 2 = -C].[L'[CvJn/C -R/ L [C]n[L'[Gw']/C X X + 0 - [ XI] [1/ LCJ V(ni in1 The equaions o he remaining bocks depend on he used ype o drive as we as he naure o he oad. The uncion o each one o hese bocks is known as oows: Bock 6: represens he oad dynamics on which depend he moor sneed as we as he magniude and duraion o he moor eecromagneic orque. (4) 5) (6) ourna o Eng. Sci. Vo. II No. I (1985). Coege o Eng. King Saud Univ. ;."""- wi.>..:\...).:..;! W ( \ 0).; -.7;.'';''.L\ Gj ;5_....J( J.:;:.
146 M.A.S. Mansour and M.A. Ahaider Bock 7: represens a ransducer o conver moor speed ino requency. Bock 8: represens a programmed rajecory which is adjused wih respec o he moor speed o give he desired sip-requency operaion. Bock 9: represens a programmed rajecory ha is adjused wih respec o he inverer requency o give he desired converer iring ange (a). Once hese uncions are known hen wriing heir equaions become more easibe. 4. Concusion A deveoped simuaion mode or he operaion o a conroed-sip requency drive sysem is presened. The simuaion considers source and ier ime consan moor and oad dynamics and harmonics eecs. I gives he drive sysem desirabe operaiona characerisics or racion and indusria appicaions. The impemenaion o such a simuaion mode using a digia compuer provides a suiabe approach or pracica design and opimizaion perormance o he seeced eecric drive sysem.. 2. Leo Ind IT Rererences IEEE Trans. 011 inverer-inducion 3. Jacovides Fourier o inducion moor drives wih non-sinusoida Trans. Indusry and Appica/ions Vo. IA-9 No.6 pp. M.A. Shimy Mansour and M.A. Ahaider Eecrica Engineering Deparmen Coege o Engineering King Saud Universiy Riyadh Saudi Arabia Journa oj Eng. Sci. Vo. I I No.1 (1985). Coege oj Eng. King Saud Univ.
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