INTERHARMONICS ANALYSIS OF A 7.5KW AIR COMPRESSOR MOTOR

Transcription

1 INTERHRMONIS NYSIS OF 7.5KW IR OMPRESSOR MOTOR M Zhyun Mo Wen Xong un e Xu Zhong Elecc Powe Te Elecc Powe Te Elecc Powe Te Elecc Powe Te & Reech Inue & Reech Inue & Reech Inue & Reech Inue of Gungzhou Powe Supply of Gungzhou Powe Supply of Gungzhou Powe Supply of Gungzhou Powe Supply ueu d. hn ueu d. hn ueu d. hn ueu d. hn E-ml: mzy@qq.com E-ml: @qq.com E-ml: @qq.com E-ml: @qq.com STRT The uully dved by n nducon moo ypcl flucung mechncl lod, whch cn ely bng powe quly poblem o powe gd, uch volge flucuon nd flcke, nehmonc nd o on. Th ppe h nlyzed he wokng volge nd cuen d of 7.5kW hee phe nducon moo loded by n nd found h fequency of 37.5Hz nd 62.5Hz nehmonc volge nd cuen e geneed when he moo nng. The nehmonc pecum nd von cuve dung he wokng poce of h 7.5kW moo e clculed nd hown. The von cuve of volge flucuon nd flcke bough by nehmonc lo clculed nd gven n h ppe. Fuhemoe, he model of moo bul o udy he nehmonc mechnm nd h found ou fequency of 37.5Hz nd 62.5Hz nehmonc volge ouce cn be poduced n he moo o wndng when he moo nng nd menwhle he me fequency nehmonc cuen e ppeed. Fnlly, he equvlen ccu dgm of he moo n powe gd condeed nehmonc h been gven. KEY WORDS Inehmonc; ; Inducon moo; Flucung lod; FFT me wndow INTRODUTION Inehmonc whch men hoe fequence h e no negl hmonc of he upply fundmenl fequency bng lo of hm o powe gd, uch oveheng phenomenon, volge flucuon nd flcke, pve fle ovelod, ub ynchonou ocllon nd o on [-2]. The common nehmonc ouce n powe gd mnly nclude /D/ convee, wnd geneon nd flucung lod. Mny eech h been ken on nehmonc chcec of vble peed dve, elecc c eel funce, wnd geneon, HVD yem, nducon moo [3-7]. Howeve, The exng eech bou nducon moo nehmonc mnly focu on oo wndng mblnce nd on coe uon cue [7]. Ppe [8] found ou h when he mechncl lod flucue he oo peed nd moo elecomove foce wll lo flucue, whch led o flucung upply cuen njeced no he gd nd cn be hough of nehmonc cue. he vewpon n [], he ypcl flucung mechncl lod of nducon moo nd my cue nehmonc n upply cuen. u hee lle eech on nehmonc chcec of moo. Th ppe fly e nd ecod volge nd cuen wvefom d of wokng 7.5kW hee phe nducon moo wh lod. Then he volge nd cuen nehmonc dung dffeen wokng condon nlyzed off-lne bed on FFT lgohm [9- ]. Menwhle, ohe powe quly poblem bough by nehmonc uch volge flucuon nd flcke clculed nd gven. Fuhemoe, he nehmonc mechnm of moo found ou bed on he moo model. 2 TESTING DT NYSIS unde e uully dved by nducon moo. Th ppe h choen n dved by 7.5kW hee phe nducon moo o e wokng volge nd cuen d hown n Fg.. The eleccl connecon of moo nd eng equpmen hown n Fg.2. To enue he ccucy of he nly, powe quly wvefom ecode ppled whch cn fully ecod he volge nd cuen wvefom d o be nlyed off-lne nd how he el me powe quly ndex menwhle. The duon me of he e n h ppe bou one hou. Fg. The dved by hee phe nducon moo eed n h ppe IRED 27 /5

2 Powe gd:.38kv u Volge Thee phe nducon moo uen M Powe Quly Wvefom Recode Fg.2 The eleccl connecon of moo nd eng equpmen Inehmonc clculon ed on IE mehod, gnl nvolved hmonc nd nehmonc cn be expeed foue ee: m f ( ) c c m n( m ) m N The pmee N n fomul () men numbe of fundmenl peod n one FFT clculon me wndow nd c m ju he hmonc nd nehmonc mplude of whch he fequency eoluon f /N. IE ecommended ung me wndow wh fundmenl peod. Howeve, h mehod my led o pecum lekge nd cnno denfy he ccue nehmonc fequency [9-]. ed on pevou eech nd uffcen obevon of he eng d, h ppe h choen me wndow wh 8 fundmenl peod. he fundmenl fequency of hn powe gd 5 Hz, he nehmonc fequency eoluon cn be 6.25 Hz when ung 8 fundmenl peod me wndow fo FFT clculon. Though FFT clculon of he ecoded wvefom d, nehmonc pecum of he 7.5kW moo upply volge nd cuen hown n Fg.3. Fg.3() nd Fg.3(b) epecvely how he eul when moo nng nd ped. I cn be found h when he moo nng, 37.5Hz nd 62.5Hz nehmonc cn be deeced n he upply volge nd cuen. Volge () Fg.3 The moo upply volge nd cuen wvefom nd he nehmonc pecum Fuhemoe, he 37.5Hz nd 62.5Hz nehmonc volge nd cuen von cuve e clculed nd hown n Fg.4 nd Fg.5. Fom he von cuve, cn be found h nehmonc of moo nemen. When moo ped, hee no nehmonc n upply volge nd cuen. Howeve, when nng, he 37.5Hz nd 62.5Hz nehmonc volge nd cuen e o hgh vlue mmedely. So he wokng of moo cn poduce volge nd cuen nehmonc. () 37.5Hz nehmonc volge (b) 37.5Hz nehmonc cuen Fg.4 Von cuve of he 37.5Hz nehmonc volge nd cuen when moo ng nd ped 37.5Hz 62.5Hz uen () When moo nng () 62.5Hz nehmonc volge (b) When moo ped IRED 27 2/5

3 Flcke (b) 62.5Hz nehmonc cuen Fg.5 Von cuve of he 62.5Hz nehmonc volge nd cuen when moo ng nd ped ued volge flcke poblem Moeove, he 37.5Hz nd 62.5Hz nehmonc n he 7.5kW moo upply volge nd cuen my led o volge flcke poblem. Th ppe lo h clculed nd gven he volge flcke von cuve of he moo upply volge hown n Fg.6, n whch he volge flcke ndex ou of he lm (.). Fg.6 Von cuve of he moo upply volge flcke 3 MODEING ND MEHNISM whch dved by n nducon moo compee nd genee peue by conveng he mechncl enegy of moo o g peue enegy. The wokng poce cn be eed moo wh mechncl lod whoe o nd oo equvlen ccu cn be hown n Fg v v (h) e v So phe x Roo phe x v c v b b b hown n Fg.7, he o coned of hee phe pce ymmecl wndng nmed, b nd c, nd oo coned of hee dbued wndng nmed, nd. The Geek lee n Fg.7 men led ngle of oo phe comped o o phe. When ngul peed d / conn, he led ngle cn of he oo be expeed : (2) In fomul (2), men he lp o nd men he ngul peed of he o feld. Ignong he uon, hyee nd eddy cuen, nd umng dbuon flux wve pue ne, he o volge fomul of phe cn be expeed : d v R d ny momen, flux lnkge phe cn be expeed : (3) of o wndng n co co 2 co 2 b b c In fomul (4), wndng, wndng, b (4) men elf-nducnce of o men muul nducnce beween o men he mxmum muul nducnce beween o nd oo wndng,, nd men hee phe oo cuen nd, b, c men hee phe o cuen. he eleccl connecon whou neul lne o hee phe ymmecl, hee no neul cuen, whch men of. Then he flux lnkge b c o wndng n phe cn be expeed : co co 2 co 2 b co co 2 co 2 The o phe volge cn be expeed : In fomul (4), (5) d v R e d (6) men dffeence elf-nducnce nd muul nducnce of o wndng, nd e men nduced elecomove foce poduced by muul nducnce beween o nd oo, whch cn be expeed : b d e co co 2 co 2 d So phe b nd c volge hve he me expeon. ed on he nly bove, he equvlen ccu dgm of moo o volge n one phe cn be dwn n Fg.8. (7) Roo So Fg.7 The o nd oo ccu of he mchne c c IRED 27 3/5

4 Fg.8 Equvlen ccu dgm of moo o volge n one phe I umed h hee phe fundmenl cuen R e fequency of moo o nd oo epecvely nd. knd of flucung mechncl lod, he lod oque nd oo peed of dved moo wll flucue, whch wll led o flucung of o nd oo cuen. When nuodl flucung fequency of he lod, he o cuen nd oo cuen cn be epecvely expeed : co co l co l co D D D D co D D l co l In fomul (8) nd (9), nd epecvely men he mplude nd phe ngle of fundmenl cuen of moo o nd oo. nd D, D l l,,, l, l epecvely men (8) he mplude nd phe ngle of nehmonc cuen of moo o nd oo. ed on fomul (8) nd (9), when he nuodl flucung fequency of lod oque, he me fequency nuodl wve wll ppe n he eleccl ngul peed of oo. Fuhemoe, h wll led o nehmonc fequency of n hee phe o cuen nd nehmonc fequency of (9) n hee phe oo cuen. ombnng fomul (6)~(9), he o volge cn be deved followng: co co l co l 2 n 2 n 2 n 2 n 2 n 2 l n D D v R D 2 l () Fom fomul (), he nehmonc volge ouce wh fequency of 2 2 nd e poduced n o volge ccu of he nducon moo flucung of he mechncl lod. Then he equvlen ccu dgm of he moo n powe gd condeed nehmonc volge ouce cn be hown Fg.9. Fg.9 Equvlen ccu dgm of he moo n powe gd condeed nehmonc volge ouce ed on he bove heoy, 37.5Hz nd 62.5Hz nehmonc volge ouce poduced when he 7.5kW moo eed n h ppe nng nd 37.5Hz nd 62.5Hz nehmonc cuen ppeed menwhle. 4 ONUSION ed on eng d nly of wokng 7.5kW hee phe nducon moo wh mechncl lod, h ppe h found ou h 37.5Hz nd 62.5Hz fequency nehmonc volge nd cuen e geneed when he moo nng. The nehmonc pecum nd von cuve dung he wokng poce of h 7.5kW moo e clculed nd hown. The von cuve of volge flucuon nd flcke bough by nehmonc lo clculed nd gven n h ppe. Fuhemoe, he model of moo bul o udy he nehmonc mechnm nd h found ou fequency of 37.5Hz nd 62.5Hz nehmonc volge ouce poduced n he moo o wndng when he moo nng nd menwhle he me fequency nehmonc cuen e ppeed. Fnlly, he equvlen ccu dgm of he moo n powe gd condeed nehmonc h been gven. REFERENES [] n Hxue, 2, Ogn of Inehmonc nd I Effec on Powe Syem, Powe Supply Technologe nd pplcon. Vol. 3, -6. [2] Te., km M. F., uch R., 27, Inehmonc: Theoy nd Modelng, IEEE Tncon on Powe Delvey. Vol. 22, [3] c D., 2, Inpu uen Inehmonc of Vble-Speed Dve due o Moo uen Imblnce, IEEE Tncon on Powe Delvey. Vol. 25, [4] Wong mn, hen Yunpng, Shu png, 24, Influence of elecc c eel funce on he powe yem nd uppeon, Powe Syem R e U h IRED 27 4/5

5 Technology. Vol.28, [5] Pphnou S.., Ppdopoulo M. P., 26, Hmonc nly n powe yem wh wnd geneon, IEEE Tncon on Powe Delvey. Vol. 2, [6] Hu., Rn., 2, Dec mehod fo clculon of de hmonc nd nehmonc n n HVD yem, IEE Poceedng-Geneon, Tnmon nd Dbuon. Vol. 47, [7] Dh Zhng, Xu W., Yun u, 25, On he phe equence chcec of nehmonc, IEEE Tncon on Powe Delvey. Vol. 2, [8] Ruek J., 26, Inehmonc geneed by nducon mchne, Eleccl Powe Quly Ulon, Mgzne. Vol. II, [9] Qn Ho Zho Rong-xng, 25, Inehmonc nly bed on nepolon FFT lgohm, Poceedng Of The hnee Socey Fo Eleccl Engneeng. Vol.25, [] Gu I. Y.H., ollen M.H.J., 28, Emng Inehmonc by Ung Sldng-Wndow ESPRIT, IEEE Tncon on Powe Delvey. Vol. 23, IOGRPHY M Zhyun (987-), mle, engnee, wokng on powe quly monong, evluon nd conol, powe yem ful dgno, new enegy powe geneon. Mo Wen Xong (97-), mle, eno engnee, wokng on condon evluon of hgh volge eleccl equpmen, m gd nd powe quly. un e (983-), femle, depuy eno engnee, wokng on condon evluon of hgh volge eleccl equpmen, on-lne monong nd powe quly. Xu Zhong (986-), mle, depuy eno engnee, wokng on powe quly, on-lne monong nd m gd. IRED 27 5/5