Applied Study of Hilbert-huang Transform and Elman Neural Network on Flow Regime Identification for Gas-liquid Two-phase Flow

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1 7 Vol.7 No. Apr Proceedgs of the CSEE 7 Ch.Soc.for Elec.Eg (7) O359 A 47 Elma ( 3 574) Appled Study of Hlbert-huag Trasform ad Elma Neural Network o Flow Regme Idetfcato for Gas-lqud Two-phase Flow ZHOU Yu-log, WANG Qag, SUN B, Zhag Yog-gag (. School of Eergy Resource ad Mechacal Egeerg, Northeast Dal Uversty, Jl 3, Jl Provce, Cha;. Shadog Phoex Pharmaceutcal co Ltd, Dogyg 574, Shadog Provce, Cha) ABSTRACT Flow ad heat trasfer characterstc of gas-lqud two-phase flow are strogly affected by ts flow patter. Therefore, the study o flow patter s always a mportat subject of two-phase flow. However, as exstg multfarous terphase boudary amog the medum of two-phase flow, t leads to varous of two-phase flow patter, ad the chages are radom. So t s dffcult to detfy the flow patter. Ad t s seldom to apply study of Hlbert-Huag trasform (HHT) ad eural etwork o flow regme detfcato for gas-lqud two-phase flow. I ths artcle a flow regme detfcato method usg Hlbert-Huag trasformato combed wth Elma eural etwork s put forward. Frstly the method aalyzes the trsc mode fucto (IMF) obtaed after the emprcal mode decomposto (EMD), the extracts IMF eergy feature as the put feature vectors of the Elma eural etwork, lastly flow regme detfcato of the gas-lqud two-phase flow a horzotal ppe ca be performed. The expermetal result shows that ths method ca detfy the four flow regmes of gas-lqud two-phase flow horzotal ppe. Ths method develops a ew drecto for the flow regme detfcato. I addto, the expermetal result shows that ths method s superor to BP eural etwork, ad t s stable ad hgher detfcato. Result also proves that the method s feasble. KEY WORDS: gas-lqud two-phase flow; flow regme detfcato; Hlbert-Huag trasform; emprcal mode decomposto; trsc mode fucto; Elma eural etwork (453), (HHT) Elma (EMD) (IMF) IMF Elma 4 BP Elma [] [] EMD(emprcal mode

2 Elma 5 decomposto) HHT(Hlbert-Huag trasform) [3-] EMD IMF EMD IMF (trsc mode fucto) IMF [3-3] BP BP [4] BP Elma, HHTElma HHT. EMD HHT [5] IMF s() t v () t v () t m= [ v ( t ) + v ( t )] () s() t m h s() t m= h () h s() t h IMF = h (3) c c IMF s() t c = r (4) r s() t c, c 3,..., rt () rt () st () = c + r (5) = IMF c, c,..., c r (5)EMD. Hlbert (HT) Xt HT () + X ( τ ) Yt () = dτ π (6) t τ + Y ( τ ) Xt () = dτ π (7) t τ θ ( ) Zt () = Xt () + Yt () = at ()e t (8) / at () = [ X() t + Yt ()] (9) θ () t θ ( t) = arcta Y( t) / X( t) () d θ ( t) f() t = () π dt at ().3 Hlbert IMF Hlbert j φ ( ) j ( )d t w t t () = = s() t = Re a ()e t = Re a ()e t r Re () HlbertHlbert j w ( t)dt H( w, t) = Re a ( t)e (3) = EMD Hlbert EMD HlbertHHT. HHT = E = a () t (4) PD-4

3 5 7 IMP Hz 48.~.5 MPa3~ 4 ~5 m 3 /s ~4.5m 3 /s 4 Fg. Expermet system of flow regmes P/kPa Fg. Dfferetal pressure sgals 3 IMF EMD HHT 3 4 HHT r a 8 HHT IMF (c ) d FFT 5 HHT HHT EMD EMD IMF EMD IMF 8 EMD 8 IMF r EMD IMF 8 r r 9 Hlbert (4) IMF r r r c8 c7 c6 c5 c4 c3 c c EMD Fg. 3 EMD decomposto of bubble flow a8 d8 d7 d6 d5 d4 d3 d d Fg. 4 Wavelet decomposto of bubble flow

4 Elma 53 Tab. 4 Test sample data ad classfcato result of four flow regmes c c c 3 c 4 c 5 c 6 c 7 c 8 r Elma BP B B B B B B I I I I I A I I I A A A S S S S S A A A A B I S A Tab. Eergy table of each layer c c c 3 c 4 c 5 c 6 c 7 c 8 r B B I I S S A A c9 c8 c7 c6 c5 c4 c3 c c 4 8 f/hz (a) d f/hz (b) c 5 FFT Fg. 5 FFT trasform EMD Fg. 6 EMD decomposto of termttg flow 4 Elma 4. Elma Elma 4 () 7 W 3 X W y(k) X W X c X c u(k ) 7 Elma Fg. 7 Model of Elma eural etwork

5 54 7 IMF r () () () () Elma 4 tasg logsg tasg logsg 8 9 Elma y x y.5 8 tasg Fg. 8 Tasg fucto 5 5 x 9 logsg Fg. 9 Logsg fucto 4. Elma 7 Elma 3 y( k) = g( w x ( k)) (5) x( k) = f( w xc ( k) + w ( u ( k ))) (6) x ( k) = x ( k ) (7) c y x u x c m l w 3 w w g() f () s Elma BP Ew ( ) = yk( w) y k( w) (8) k = [ ] y ( w) k 5,, 4 ( 4 6 ) 34 6 ( 4 ) 95.7% BP 3 ( ) 78.6% 4 Elma BP Elma Elma Fg. Error curve of Elma eutral etwork 6 Hlbert-Huag Elma EMD EMD IMFr IMF 4 3 Elma 4, BP

6 Elma 55 [] Rouha S Z Two-phase flow patters a revew of research results[j] Nucl Eergy 983 (3) 9-59 [] [J] 6 6() 6-9 Huag Zhuqg Wavelet aalyss of dstgush flow patter vertcal upward gas-lqud two-phase flow[j] Proceedgs of the CSEE 6 6() 6-9( Chese) [3] Hlbert-Huag [J]4 55(9) Huag Ha Huag Ylu Pressure-fluctuato aalyss of gas-sold fludzed beds usg Hlbert-Huag trasforms[j] Joural of Chemcal Idustry ad Egeerg 4 55(9) ( Chese) [4] HHT [J]4 55() Su B Zhag Hogja Yue Wetg Appled study of HHT ad eural etworks o flow regme detfcato for ol-gas two-phase flow[j] Joural of Chemcal Idustry ad Egeerg 4 55() 73-77( Chese) [5] Hlbert-Huag [J] 5 9(4) Wag Xaopg The Hlbert-Huag trasform ad flow regmes detfcato for pressure fluctuato of gas-sold fludzed beds [J] Joural of Chemcal Egeerg of Chese Uverstes 5 9(4) ( Chese) [6] Hlbert-Huag [J] 6 9() 6-5 Yag Zhhua Q Dogxu Yag Lhua Detectg ptch perod based o Hlbert-Huag trasform[j] Chese joural of computers 6 9() 6-5( Chese) [7] [J] 5 5(4) 65-7 Meg Qghua Zhou Xaoju Pag Qg Study o sources degeerated bld separato algorthm based o two mxtures [J] Proceedgs of the CSEE 5 5(4) 65-7( Chese) [8] HHT[J] 6 6(8) L Tayu Gao Le Che Xaodog et al Parameter detfcato of sychroous maches based o Hlbert-Huag trasform[j] Proceedgs of the CSEE 6 6(8) 53-58( Chese) [9] Hlbert-Huag [J]5 56() 94-3 Dg Hao Huag Zhyao L Haqg Property of dfferetal pressure fluctuato sgal of gas-lqud two-phase flow based o Hlbert-Huag trasform[j] Joural of Chemcal Idustry ad Egeerg 5 56() 94-3( Chese) [] HHT [J] 5 5(7) 5-56 L Tayu Zhao Ya L Na et al A ew method foe power qualty detecto based o HHT[J] Proceedgs of the CSEE 5 5(7) 5-56( Chese) [] [J] 5 5(4) 5-9 Luo Zhoghu Xuo Xaog Wag Xaozhe et al Study o the method of cpet motor bearg fault dagoss based o wavelet trasform ad EMD[J] Proceedgs of the CSEE 5 5(4) 5-9( Chese) [] Hlbert-Huag [J] 5 5() 7- Nu Falag Huag J Yag Jaqag et al Rotor broke-bar fault dagoss of ducto motor based o Hlbert-Huag trasformato of the startup electromagetc torque[j] Proceedgs of the CSEE 5 5() 7-( Chese) [3] M Y Ish M Tsoukalas L H Flow regme detfcato methodology wth eural etworks ad two-phase flow models [J] Nuclear Egeerg ad Desg 4(-3) 87- [4] [J] (7) 46-5 Ba Bofeg Guo Lej CHe Xueju The techology ad theory of ole recogto of gas-lqud two-phase flow regme [J] Proceedgs of the CSEE (7) 46-5( Chese) [5] BP [J] () -7 Ba Bofeg Guo Lej Che Xueju Recogto of gas-lqud two-phase flow regme based o BP eural etwork[j] Acta Metrologcal Sca () -7( Chese) [6] [J] 5 9(3) Ja Zhha Nu Gag Wag Jg Flow regme detfcato two-phase flow by usg eural etwork[j] Joural of Chemcal Egeerg of Chese Uverstes 5 9(3) ( Chese) [7] M Y Ish M Tsoukalas L H Vertcal two-phase flow recogto usg advaced strumetato ad eural etworks[j] Nuclear Egeerg ad Desg (-3) 49-4 [8] RBF [J] (3) 57-6 Wu Haojag Zhou Fagde Itellget detfcato of flow regme of ol-gas-water multphase flow wth RBF eural etwork[j] ACTA Petrole Sca (3) 57-6( Chese) [9] Moj H Matsu G Flow patter recogto of gas lqud two-phase flow usg a eural etwork[c] I Proceedgs Thrd Iteratoal Coferece o Multphase Flow Lyo 998 [] BP [J] 34() -5 Wu Haojag Hu Zhhua Zhou Fagde Applcato of mproved BP eural etwork o tellget detfcato of flow regme of ol-gas-water multphase flow[j] Joural of X a Jao-tog Uversty 34() -5( Chese) [] Kohoe [J] 5 () 48-5 Su B Zhou Yulog Zhag Lg A method for detfyg gas-lqud two-phase flow patters o the bass o a wavelet packet decomposto ad kohoe eural etwork[j] Joural of Egeerg for Thermal Eergy ad Power 5 () 48-5( Chese) [] BP [J]5 6() - 5

7 56 7 Zhou Yulog Su B Lu Ju Applcato of mproved BP eural etwork detfcato of ar-water two-phase flow patters [J] Joural of Chemcal Idustry ad Egeerg 5 56() -5( Chese) [3] D-S [J]6 57(3) Zhou Yulog Su B Idetfcato method of gas-lqud two-phase flow patters based o eural etwork ad D-S evdetal theory[j] Joural of Chemcal Idustry ad Egeerg 6 57(3) 67-63( Chese) [4] BP [J] 6() Wag Yafa L Zoghu The applcato of a mproved BP eural etwork the dscrmato of varous flow patters[j] Joural of Egeerg for Thermal Eergy ad Power 6() ( Chese) [5] Huag N E She Z Log S R et al The emprcal mode decomposto ad hlbert spectrum for o-statoary tme seres aalyss[c] Proceedgs of the Royal Socety of Lodo Lodo (96 ) zyl@mal.edu.edu.c (975 ), (97 ) (974 ),

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