Optimization design of wind turbine drive train based on Matlab genetic algorithm toolbox

Transcription

1 IOP Coferee Seres: Materals See ad Egeerg OPEN ACCESS Optmzato desg of wd ture drve tra ased o Matla geet algorthm toolox o te ths artle: R N L et al 2013 IOP Cof. Ser.: Mater. S. Eg Vew the artle ole for updates ad ehaemets. Related otet - Drag pheomea wth a torque overter drve automotve trasmsso - lamar flow approah O Alexa, M Maresu, Gh Olaru et al. - Comed hydraul power vehle trasmsso modes N N rush ad G V Shadsk - Numeral aalyss o the exteral haraterst of torque overter ased o dyam mesh H S Su, G L Yag, L Q Zhag et al. hs otet was dowloaded from IP address o 21/11/2018 at 01:13

2 6th Iteratoal Coferee o Pumps ad as wth Compressors ad Wd ures IOP Pulshg Optmzato desg of wd ture drve tra ased o Matla geet algorthm toolox R N L 1, 2, X Lu 1 ad S J Lu 1 1 Shool of Eergy ad Power Egeerg, Lazhou Uversty of ehology, Lazhou , Cha 2 Gasu Proval wd ure Egeerg ehology Researh Ceter, Lazhou , Cha E-mal: lr@lut., lux23@126.om, lus5@126.om Astrat. I order to esure the hgh effey of the whole flexle drve tra of the froted speed adjustg wd ture, the workg prple of the ma part of the drve tra s aalyzed. As rtal parameters, rotatg speed ratos of three plaetary gear tras are seleted as the researh sujet. he mathematal model of the torque overter speed rato s estalshed ased o these three rtal varale quatty, ad the effet of key parameters o the effey of hydraul mehaal trasmsso s aalyzed. ased o the torque alae ad the eergy alae, refer to hydraul mehaal trasmsso haratersts, the trasmsso effey expresso of the whole drve tra s estalshed. he ftess futo ad ostrat futos are estalshed respetvely ased o the drve tra trasmsso effey ad the torque overter rotatg speed rato rage. Ad the optmzato alulato s arred out y usg MALA geet algorthm toolox. he optmzato method ad results provde a optmzato program for exat math of wd ture rotor, gearox, hydraul mehaal trasmsso, hydraul torque overter ad syhroous geerator, esure that the drve tra work wth a hgh effey, ad gve a referee for the seleto of the torque overter ad hydraul mehaal trasmsso. 1. Itroduto Itermttet ad radom of the wd resoure wll rg aout a seres of prolems to the utlzato of wd [1].I order to ehae the eletrty geerato stalty of the wd ture, the hydraul mehaal speed otrol deve had trodued to the wd ture drve tra [2, 3]. I ths paper, order to get the key parameters whh a esure the torque overter ad the drve tra workg wth a hgh effey, the workg prple of the ma part of the drve tra s aalyzed, the mathematal model s estalshed, ad the the optmzato alulato aout the effey of the drve tra s arred out ased o the MALA geet algorthm toolox. he model ased o those key parameters provdes a ass for the prototype test the ext step. 2. he struture of the drve tra of the frot-ed speed adjustg wd ture he whole drve tra of the frot-ed speed adjustg wd ture s omposed of wd ture rotor, gearox, hydraul mehaal trasmsso, hydraul torque overter ad syhroous geerator [4]. As show gure 1, after the gear ox, a plaetary frame s oeted at the plaet wheel of the hydraul mehaal trasmsso. hs plaet wheel drves the su wheel. Ad the su wheel drves Cotet from ths work may e used uder the terms of the Creatve Commos Attruto 3.0 lee. Ay further dstruto of ths work must mata attruto to the author(s) ad the ttle of the work, joural tato ad DOI. Pulshed uder lee y IOP Pulshg Ltd 1

3 6th Iteratoal Coferee o Pumps ad as wth Compressors ad Wd ures IOP Pulshg the spdle. I order to adapt to the wd, a part of eergy of the spdle s dverted to the su gear y the hydraul trasmsso. y ths way, ths drve tra a ehae the stalty of the spdle. g.1 he struture of the frot-ed speed adjustg wd ture drve tra 3. Mathematal Model ad Key Parameters As show gure 1, from left to rght, there are three plaetary gears the drve tra. Ad the mehaal trasmsso satsfes the followg relatoshp: tq a (1) q t (2) q q (3) Here s the rotatg speed of the wd ture rotor, j, ad are respetvely orrespodg to the rotatg speed of the frst, the seod ad the thrd plaet arrer, a s the speed rease rato of the gearox, t s the rotatg speed of the su gear, q s the rotatg speed of the outer rg gear of the hydraul trasmsso, s the rotatg speed of the turo of the torque overter, tq s the rato of the su gear ad the fxed outer rg gear of the seod plaet arrer, ad q s the rato of the turo of the torque overter ad the fxed outer rg gear of the thrd plaet arrer. he key parameters are defed as follow: tq, q. he, the Eq. (2) ad (3) a e expressed as show elow: (1 ) (4) t q (1 ) (5) q he rotatg speed of thrd plaet arrer s zero. ased o Eq. (5), the followg equato s otaed: (6) q Note that the su gear, the pump wheel ad the geerator are oeted at the spdle, the: t G (7) 2

4 6th Iteratoal Coferee o Pumps ad as wth Compressors ad Wd ures IOP Pulshg Here s the rotatg speed of the pump wheel of the torque overter, ad G s the rotatg speed of the geerator. ased o Eq.(1), (4), (6) ad (7), the followg equato a e derved: a(1 ) (8) he the rotatg speed rato of the torque overter s otaed as follow: a(1 ) (9) Whe, ad G are gve, ased o Eq. (9), s oly relate to the parameters of a, ad. Wth the eergy dverso effet o the spdle, the hydraul torque overter must work hgh state to esure the effet operato of the etre system. o esure the effet, the torque overter must work wth a erta rage [5]. 4. Ojetve futo ased o the drve tra system show gure 1, the torque alae equato ad the eergy alae equato a e otaed as follows: M t Mq M (10) M M M (11) t t q q he proportoal relatoshp etwee the torques a e otaed ased o Eq. (4), (10) ad (11): M : M : M 1: : (1 ) (12) t q Comg wth Eq. (1) ad (6), the followg equato a e derved: M t : M : M 1: : a(1 ) (13) Hydraul torque overter has the followg as relatoshps: K M / M (14) K (15) Here K s torque rato, ad s the effey of hydraul torque overter. he omg wth Eq.(13), (14) ad (15), the followg equato a e derved: M M a(1 ) y aalysg key parts of the drve tra, power equatos a e otaed as follows. q q q q (16) M M M (17) M M (18) j j j M ( M M ) (19) t t G Comg wth Eq. (11), (17), (18) ad (19), the followg equato a e derved: M M M M (20) G q j 3

5 6th Iteratoal Coferee o Pumps ad as wth Compressors ad Wd ures IOP Pulshg Now, ased o Eq.(20), the effey of the whole drve tra a e derved as show elow: M G M q Mj M M M urthermore, omg wth Eq. (16), the effey of the whole drve tra a e expressed as show elow: j (1 q ) a(1 ) he ftess futo a e otaed ased o Eq.(21): 1/[ j (1 q ) ] a(1 ) (21) (22) It s show the Eq. (21) that the effey of the whole drve tra has a lose relatoshp wth key parameters of a, ad. I order to get the hghest effey of the system, the hoosg of key parameters should make sure that the Eq. (22) reah the mmum value. 5. Costrat futos Aordg to the rage max to m, m ad max s ofrmed. Ad the desg rotatg speed rato of the hydraul torque overter,, s orrespodg to the ommo low rotatg speed of the wd ture rotor,. he, the followg equatos a e otaed: 0 m < 1 < a(1 ) < 2 < max 1 (23) max (24) 6. Examples ad results aalyss I ths paper, tehal data of the wd ture DeWd 8.2 ad expermetal data of the hydraul torque overter NY5 are used to arry out the mathg alulato. he detal s show ale 1, ale 2. See from ale 1, the rotatg speed rage of the wd ture rotor s 11.1 ~ 20.7r/m. he ommo low rotatg speed of the wd ture rotor s defed as 16r/m. he gear rato s 1: 25, so the parameter, a 25. Ad the rotatg speed of the geerator s 1500r/m. ale 1. tehal data of the DeWd8.2 [6]. Parameters value Rated power 2000 kw Rotor dameter 80 m Swept area 5027m 2 Rotor speed rage 11.1 to 20.7 m -1 Gear rato 1:25 Wdrve rato 1:3 to 1:5.5 Geerator speed 1500m -1 at50hz;1800m -1 at 60Hz Output voltage 4.16 s 13.8 kv 4

6 6th Iteratoal Coferee o Pumps ad as wth Compressors ad Wd ures IOP Pulshg See from ale 2, the maxmum effey of the torque overter, Ad the rotatg speed rato, 0.3. he, rasmsso effey of mehaal parts s defed as rj q So, ased o Eq. (22), (23) ad (24), the ftess futo ad the ostrat futo a e derved as show elow: ale 2. Expermetal data of NY5 Hydraul torque overter [7] K / [0.985 ( ) ] (1 ) (25) (1 ) 0 m < 0.3 (26) (1 ) 0.3 < max 1 (27) (1 ) (28) ased o Eq. (25) to (28), ftess futo fle tu.m ad ostrat futo fle NoCo.m are estalshed MALA. he results of the alulato that am at maxmum effey a e otaed as follows: ased o tale 3, the est key parameters a e otaed. a 25, 1.9, 2.5. Aordg to the key parameters of ths group, ths flexle drve tra of the frot-ed speed adjustg wd ture a get the maxmum effey of 89% whe the rotatg speed rato of the hydraul torque s 0.3. ale 3. he results of mathg alulato. a

7 6th Iteratoal Coferee o Pumps ad as wth Compressors ad Wd ures IOP Pulshg 7. Coluso I ths paper, ased o the aalyss ad mathematal modellg of the drve ha, ojetve futo ad ostrat futo are estalshed. urthermore, ased o the applato of the MALA geet algorthm toolox, optmzato aalyss aout the key parameters s arred out. As the result, reasoale key parameters provde a ass to esure the effet operato of the frot-ed speed wd ture drve tra. he results show that, whe the torque overter rotatg speed rato s 0.3 ad the rotatg speed of the wd ture rotor s 13r/m, the optmzed three key parameters of a 25, 1.9, 2.5 wll make the trasmsso effey of the drve tra reahed 89%. he optmzato method ad results provde a optmzato program for exat math of wd ture rotor, gearox, hydraul mehaal trasmsso, hydraul torque overter ad syhroous geerator, esure that the drve tra work wth a hgh effey, gve a referee for the seleto of the torque overter ad hydraul mehaal trasmsso, ad provde a eessary foudato to the optmzato math desg of the large power wd ture drve ha. However, prate, efore the rated wd, the rotor speed of the wd ture wll hage wth the radom wd speed hage. Dfferet rotor speed wll lead dfferet optmal parameters. hs meas that the rotatg speed ratos of three plaetary gear tras are varale. I order to deal wth ths stuato, a ew varale speed otrol mehasm should e trodued. Dfferet from the tradtoal gear trasmsso mehasm, ths ew trasmsso mehasm should have otuty, stalty ad auray at the same tme, just lke the CV (Cotuously Varale rasmsso) system the ar. urther study should e arred out the future, to esure the wd ture to adapt the varale wd, ad work wth the hghest effey. Referees [1] Su H ad Cheg Z M 2012 See & ehology Iformato 2012(12) 127 [2] de Vres E 2007 Reewale Eergy World 10(2) 55 [3] homse K E, Dahlhaug O G, Nss M O K ad Haugset S K 2012 Eergy Proeda [4] Shao J H, He Y L, J X ad Yag X M 2007 Moder Maufaturg Egeerg 2007(6) [5] Dog Y, Wag H J ad Zhou X Q 2008 Joural Of Egeerg or hermal Eergy Ad Power 23(6) [6] Detlef K 2009 Su & Wd Eergy 2009(5) [7] Norther Jaotog Uversty 1980 Hydraul rasmsso of Desel loomotve (ejg: Cha Ralway Pulshg House) pp