THE CURVE OF SHORT-CIRCUIT TORQUE. Miroslav Urbánek

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1 HE CURVE OF SHOR-CRCU ORQUE iola Ubánk NRODUCON h Cu o Shot-Cicuit oqu wa intigatd o th lctic moto tain SE 7. h pow tain conit o two main ubtm, lctical and mchanical. h lctical ubtm dcib a modl int, a DC cicuit and an anchonou moto with two tato coil. h mchanical ubtm dcib mchanical pat o th moto, ga, hollow hat and whlt. h ubtm wok togth and intact. Pictu how th baic modl and Pictu how th modl o th pow tain. Pictu : baic modl Pictu modl o pow tain

h lctical ubtm dcib a modl int, a DC cicuit and an anchonou moto with two tato coil.

2 HE ELECRCAL SUBSYSE h lctical ubtm u th tanomation o pha to main diction,. h tanomation i calld 0,F,B. h coicint a k F k k B 0 tm i implmntd o oto and two coodinat tm o th tato.. Fo th anchonou moto with tato coil a coodinat Coodinat tm o tato (, ) ind A, otation locit i o Coodinat tm o tato (, ) ind B, otation locit i o Pictu coodinat tm o th lctic ubtm Nt, th magntic low a dind o th componnt o oto and tato coil. h ubtm i imulatd b coniding a lot o aumption,.g. th paamt o tato coil a th am. h ollowing quation pnt th magntic low o indiidual coil. h magntic low i th total o th induction. A A A A L i Li Lhiµ A A A A L i Li Lhiµ A A A L i Lhiµ () d A oltag quation that ha dault coniguation u R i mut b ud o th imulation. hi quation o indiidual coil could b ud o all th coil coodinat tm. Voltag quation o all tm coodinat tm coodinat tm coodinat tm d d d u R i u R i ω u R i ω d d d u R i u R i ω u R i ω d d 0 d R i ω 0 R i u R i ω () Fom oltag quation in coodinat tm it wa catd th complt compnato chm o anchonou moto with two tato coil.

a dind o th componnt o oto and tato coil. h ubtm i imulatd b coniding a lot o aumption,.g. th paamt o tato coil a th am. h ollowing quation pnt th magntic low o indiidual coil.

3 Pictu - complt compnato chm o anchonou moto with tato coil h toqu wa omulatd om th ngtic balanc. hi balanc i dcibd b th quation, which i th um o th dintial o th ng. h inal toqu will b ud o th mchanical ubtm. hi quation i a coupl and oin both ubtm togth. P mch p pk p R h ωm { i } h olution wa imulatd in coodinat tm, which ha th implt quation. h quation mut b ditd o th atlab otwa. h aiabl a diat and th mut p and cat a tm o quation o th aiabl. di di u R i L L di di u R i L L di di u R i L L di di u R i L L di d h 0 R i L ω di d h 0 R i L ω d h di di di Lh d h di di di L h d d h d d h h h ( L i ) h ( L i ) h () ()

hi quation i a coupl and oin both ubtm togth. P mch p pk p R h ωm { i } h olution wa imulatd in coodinat tm, which ha th implt quation.

4 HE ECHANCAL SUBSYSE h mchanical ubtm i omd b th toqu tm o th bod. h input o th mchanical ubtm i hot cicuit toqu om th anchonou moto with tato coil and th adhi condition in contact btwn whl and ail. h output a cu om toional diplacmnt and otating lociti. h mchanical ubtm tat th kinmatic anali. E E k p ( m m ) ( m m ) ) i ϕi 8, 9 0 8,9 ϕ q q i ϕi 7 i i, k9, k, 0, ( ϕ ϕ ) k ( R ϕ R ϕ ( R R ) ϕ ) 8, ( ϕ ϕ ) k ( R ϕ R ϕ ( R R ) ϕ ) k ϕ k7, ,7 7 5 q K q ( ϕ ϕ ) k ( ϕ ϕ ) 7 hi modl i dcibd b dnamic quation in a mati tm and it i conidd to b a toqu bod which i connctd b th toqu ping. hi quation i q t B q t K q t t () () () () () wh, B, K a matic o ma, damping and tin. h cto o th gnalid coodinat q [ ϕ ], ϕ..., ϕ includ toional diplacmnt o all th bodi and th cto () t includ citing toqu. h cto i toqu catd b th anchonou moto and action om contact btwn th whl and ail. h contact u Kalk olling tho. hi tho dcib dimnionl cp lociti, which a intd into th oc quation. Pictu 5 how th mathmatical modl o th mchanical ubtm. 8 (5)

E E k p ( m m ) ( m m ) ) i ϕi 8, 9 0 8,9 ϕ q q i ϕi 7 i i, k9,0 0 9 5 k, 0, 0 0 0 ( ϕ ϕ ) k ( R ϕ R ϕ ( R R ) ϕ ) 8,9 9 9 8 8 9 8 ( ϕ ϕ ) k ( R ϕ R ϕ ( R R ) ϕ ) k ϕ k7,8 8 7 5,7 7 5 q K q ( ϕ ϕ ) k

5 Pictu 5 th mchanical ubtm Kalk olling tho Lt whl () Right whl () lngthwi diction co diction otation aound tical ai (7)

6 Pictu - diction o lociti hi pictu how diction o lociti, whn th whlt mo in ail. h oc quation u dimnionl cp lociti and th a th co oc and pin oc. (8) ( ) ( ) ( ) ( ) [ (9) h ubtm oin togth and includ 9 quation o th 9 aiabl. h tm can imulat dct in th pow di..g. dtuction o an int and th ulting hot cicuit and thn hot cicuit toqu. h nt pictu how a poibl hot cicuit btwn two pha o pha and lctic gound. Pictu 7 hot cicuit

(8) ( ) ( ) ( ) ( ) [ (9) h ubtm oin togth and includ 9 quation o th 9 aiabl.

7 LERAURE [] Dotal V., Hll P., Koloá oidla, Plň 00 [] Lata., Kontukc koloých oidl, Padubic 00 [] Roubíčk O., Elktické moto a pohon, Paha 00 [] Noák J., Elktomchanické tém dopaě a toíntí, ČVU Paha 00 [5] Jaůk J., Rgulac modních lktických pohonů [] Widmann E.,Kllnbg W., Kontukc lktických toů, Paha [7] Dan J., Elktická takc, Plň 000 [8] Šígl J.,odloání kontaktu kola kolnicí, Plň 000 [9] Hák E.,Pužnot a pnot,čvu Paha 98 [0] Zahadník J., Pikač L., Pi V., Fománk J., Elktická ýbo obáběcích toů, ZČU FEL, 00 [] Vodášk. F, Výkonoá lktonika-.ak ZČU Plň, 99 [] Zman K., Poutka Z, Janda., Automatická gulac pohonů anchonními moto, ZČU Plň FEL, 00 [] Bau., Gmihuin J., Jöckl A., Kön O., Dnamic Shot Cicuit o action Di Compaion o nduction oto with P Snchonou oto [] Kalinčák D., Glici J., Kukuča P., Lála, J., Lack., Polách O., Sága., - Dopaný potidok ýpočtoé mtód, Žilina, 005 [5] Hlaáč Z., Dnamika po kombinoané tudium, ZČU Plň, 00 [] Valnta P., akční pohon anchonním motom napáný děma napěťoými třídači ditační pác 998 [7] Zman V.,Hlaáč Z., Btu., Šígl J., odloání toních kmitů pohonu koloého oidla dutým hřídlm, Výkumná páa VCKV, Plň, 005 [8] Šígl J., podklad k přdmětu KE/DP [9] Slaík J., Stkal V., Zman V., Základ dnamik toů, ČVU 997 [0] Zman K., Batoš V., atmatický modl takčního pohonu Anchonní moto napáný napěťoými třídači, Výkumná páa, Plň, 99 [] Via K. G.,Rao V., Dnamic o ailwa hikl tém, Acadmic publih, London, 98 [] Zlnka J., J., Jídní poil Z-, Dopaní akulta J. Pna, Uniita Padubic [] Kltčka J., Fořt P., chnické klní [] [5] []

,odloání kontaktu kola kolnicí, Plň 000 [9] Hák E.,Pužnot a pnot,čvu Paha 98 [0] Zahadník J., Pikač L., Pi V., Fománk J., Elktická ýbo obáběcích toů, ZČU FEL, 00 [] Vodášk. F, Výkonoá lktonika-.

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