Simulation and Analysis of Multi point Sound Source Model for Transformer

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1_S_t_a_t_e_G_ir_d_H_u_b_e_i_E_l_e_c_t_ir_c_P_o_w_e_r_R_e_s_e_a_r_c_h_I_n_s_t_ti_u_t_e_,_P_._R_._C_h_i_n_a

2_S_t_a_t_e_G_ir_d_H_u_b_e_i_E_l_e_c_t_ir_c_P_o_w_e_r_C_o_m_p_a_n_y_,_P_._R_._C_h_i_n_a

3_H_a_i_n_a_k_e_d_e₍_H_u_b_e_i₎_T_e_c_h_n_o_l_o_g_y_C_o_._L_t_d_,_W_u_h_a_n₄₃₀₀₆₃_,_P_._R_._C_h_i_n_a

4_W_u_h_a_n_U_n_i_v_e_r_s_ti_y_o_f_T_e_c_h_n_o_l_o_g_y_,_W_u_h_a_n₄₃₀₀₆₃_,_P_._R_._C_h_i_n_a

y e

K words:Substaiton ,Equivalentsource,Poin tsource ,Simulaiton.

t c a r t s b

A .Inordert oevaluatet henoiseradiationl eve lofsubstationaccurately ,apropert ransformer . d e h s i l b a t s e e b d l u o h s l e d o m c i t s u o c

a Mulit-poin tsourcesequivalen tmode lisaneffectiveacoustic a s y a w l a s i s e c r u o s d n u o s t n e l a v i u q e f o r e b m u n e h t e n i m r e t e d o t w o h t u b , r e m r o f s n a r t f o l e d o m p s i h t n I . m e l b o r p t l u c i f f i

d ape,rt henoiseofasubstationi st ested ,andt hemutli-poin tacousitcmodels s r e b m u n t n e r e f f i d h t i

w of equivalen tsound sources are established by using LMS Virtual. Lab d e h s i l b a t s e e h t g n i s u y b d e t a l u c l a c e r a r e m r o f s n a r t e h t f o d l e i f d n u o s e h T . e r a w t f o

s simulationmodels

e l b a n o s a e r e h t , a t a d d e r u s a e m e h t h t i w d e r a p m o c e r a s t n i o p d l e i f g n i d n o p s e r r o c e h t t a s t l u s e r e h t d n a e c n e r e f e r a s e d i v o r p t I . d e n i m r e t e d s i l e d o m e c r u o s d n u o s t n e l a v i u q e f o r e b m u

n to theresearch of

i t l u m r e m r o f s n a r

t -poin tacousticsourcesmode.l

n o it c u d o r t n I , s r o ti c a p a c , s r e m r o f s n a r t s a h c u s , s n o it a t s b u s r e w o p n i s e c r u o s e s i o n f o s d n i k y n a m e r a e r e h T u s U . e c r u o s e s i o n n i a m e h t l li t s s i r e m r o f s n a r t e h t , m e h t g n o m A . c t e , s n a f , s r o t c a e

r ally ,the

n o i t a t s r o o d t u o f o d l e i f d n u o s d e t a i d a r e h t y d u t s o t e c r u o s d n u o s t n i o p a s a d e d r a g e r s i r e m r o f s n a r t d e s u e b t o n n a c t i t u b , y l k c i u q d n a y li s a e a t a d d l e i f d n u o s e h t e t a l u c l a c n a c d o h t e m s i h T . r e m r o f s n a r t r o f s n a r t f o a t a d d l e i f r a e n e h t e t a u l a v e o

t mers .To solvethis drawback ,some scholars treated the

r u o f e h t f o n o i t a i d a r e s i o n d n a n o i t a r b i v e h t y l n o , . e .i , s e c r u o s d n u o s s e c a f r u s r u o f s a r e m r o f s n a r t r u o f o t t n e l a v i u q e s i r e m r o f s n a r t e h t , d o h t e m s i h t n I . ] 1 [ d e r e d i s n o c e r a r e m r o f s n a r t e h t f o s e d i s

surfacesacousticsources ,and themode lissuperiortothesinglepoin tsourcemodel .However ,the s i s a b e h t n o , r e h t r u F . s n o i s a c c o c i f i c e p s e m o s f o s t n e m e r i u q e r e h t t e e m t o n n a c y c a r u c c a t n e m e r u s a e m r u o f e h t f

o -sideacousitcsourcemode,lt hescholarsconsideredt hesurfacesoundsourceast hepoin t f o y c a r u c c a t n e m e r u s a e m e h t , d o h t e m s i h t y B . ] 2 [ d o h t e m e c r u o s t n e l a v i u q e e h t h t i w e c r u o s d n u o s r e m r o f s n a r

t -inducedsoundf ieldi si mproved .Moreove,rt hemulti-poin tsoundsourcemode lwasalso c i h w n i , d e s o p o r

p ht het ransformeri st ransformedasmultiplepoint-soundsourceswitht heequivalen t d o h t e m e c r u o

s .Thismethod isan effecitveacousticmodeling method fortransformers ,which can t ,r e v e w o H . y l e t a r u c c a e r o m s r e m r o f s n a r t f o d l e i f d n u o s l a u t c a e h t e t a l u m i

s henumberofequivalen t

e h T . d o h t e m s i h t g n i s u y b r e m r o f s n a r t f o d l e i f d n u o s e h t l e d o m o t d e r e d i s n o c e b t s u m s e c r u o s t n i o p l a u t c a e h t o t s i d l e i f d n u o s d e t c u r t s n o c e r e h t r e s o l c e h t , s e c r u o s t n i o p t n e l a v i u q e f o r e b m u n e h t e r o m e h t r e w o l e h t t u b , d l e i f d n u o

s computaitona l efficiency of the model . On the contrary , tis , s e c r u o s t n i o p t n e l a v i u q e f o r e b m u n e h t g n i c u d e r y b d e v o r p m i e b n a c y c n e i c i f f e l a n o i t a t u p m o c n a t r o p m i s i t i , e r o f e r e h T . e s a e r c e d o s l a l l i w d l e i f c i t s u o c a d e t c u r t s n o c e r e h t f o y c a r u c c a e h t r e v e w o

h t

f o r e b m u n r e p o r p e h t , r e p a p s i h t n I . s e c r u o s t n i o p t n e l a v i u q e f o r e b m u n e t a i r p o r p p a e h t e r o l p x e o t e h t d n a , l e d o m n o i t a l u m i s r e m r o f s n a r t a g n i h s il b a t s e y b d e r o l p x e s i s e c r u o s t n i o p t n e l a v i u q e n i r a p m o c y b d e i f i r e v s i s i s y l a n a n o i t a l u m i s e h t f o s s e n t c e r r o

c gt heanalysisresultswitht hemeasured

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t n e l a v i u q

E Sourc ePrinciple

s r o t a i d a r l l a , t a h t s i e c r u o s t n e l a v i u q e f o e l p i c n i r p e h

T ’soundfieldscanbeformedbysuperposition

d n a n o i t a i d a r e h t n i d e c a l p h c i h w s d l e i f d n u o s l a r e v e s f

o wtihdifferen tstrengths[ . 3] Thestrengthsof

. d o h t e m n i a t r e c a y b d e r u s a e m e b n a c s e c r u o s e l p m i s e s e h

t Whenthesesourcesaredetermined ,the

. d e n i m r e t e d e b n a c d l e i f d n u o s l a i t a p s e h t f o t n i o p y n a t a e r u s s e r p d n u o s

t n i o p h c a e f o a l u m r o f n o i t a l u c l a c e h

T int hesoundfieldi s

1 1 g l 0 2

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L

L= − − _. _{( )}₁

: a l u m r o f e h t n

i LwisSoundpowerl evel ;r si ThedistancefromMeasuringpointt oacousticsource. r

o

F Nequivalen tsources ,energysuperpositionmethodi susedt ocalculatet hesoundpressurel evel . d n u o s l a t o t e h t n e h t , d e r e d i s n o c t o n s i s e c r u o s t n e l a v i u q e e h t n e e w t e b e c n e r e h o c e h t , y t i c il p m i s r o F

s t n e l a v i u q e N e h t y b d e t a r e n e g X t n i o p t a l e v e l e r u s s e r

p ourcesi s

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n e h

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o e s u e h t e t a ti l i c a f o t r e d r o n

I geneitcalgorithms,t heEq .( 3) canbedeformedasfollows

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W M ≥ N ,establishanonilnearoverdeterminedequationse tandsolvet heminimumpoin tof e

c r u o s t n i o p t n e l a v i u q e e h t n e h t , m h t i r o g l a c i t e n e g y b a l u m r o f e h

t Lwcanbesolved:

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l a u t c

A Dataof Substa itonN eo si

d o h t e m e v o b a e h t g n i s u , e l p m a x e n a s a e c n i v o r p i e b u H , y t i c n a h u W n i n o i t a t s b u s u D g n a G e h t g n i k a T

. n o i t a t s e h t f o r o t c a f n o i t p r o s b a e h t e t a l u c l a c o

t Int hesimulaitonmode,lf ourequivalen tsoundsources

e h t d n i h e b m 1 e c a f r u s e h t t a d e t u b i r t s i d y l m r o f i n u e r

a transformersurface .Fivemeasuringpointsare

n i n w o h s s i s t n i o p g n i r u s a e m e h t f o n o it a c o l e h T . e c a f r u s r e m r o f s n a r t e h t f o d a e h a m 1 d e g n a r r

a Figure

. 1

e r u g i

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d e r u s a e m e h t n i a t b o o t d e g n a h c e b n a c e c a f r u s g n i r u s a e m e h t n o a t a d d e r u s a e m e h t , y a w e m a s e h t n I

. 6 1 d n a 9 s i s e c r u o s t n i o p t n e l a v i u q e f o r e b m u n e h t n e h w a t a d

e r a s t n i o p t n e m e r u s a e m e h t d n a d e s u s i m e t s y s t s e t 0 5 2 2 K & B e h t , t s e t l a t n e m i r e p x e e h t r o F

d e g n a r r

a a sthel ayou tshowni nFigure .2 Thedistancesbetweent ransformerandt hemeasuredpoints ,

m 0 1 , m 5 e r a 2 e n i l n o i t a u n e t t a n

i … ,25m; thedistancesbetweentheouteredgeoft hefirewal land m

1 e r a 5 , 3 , 1 e n i l n o i t a u n e t t a n i s t n i o p d e r u s a e m e h

t , 2m ,3m, 5m ,10m ,… ,25m ;the distances

m 2 . 3 e r a 6 d n a 4 e n il n o i t a u n e t t a n i s t n i o p d e r u s a e m e h t d n a r e m r o f s n a r t n e e w t e

b ,(3.2+1) ,m

(3.2+2)m ( ,3.2+3) ,m (3.2+5) ,m ( 23. + ) ,10 m … ,(3.2+25)m ,thedistancebetweent heouteredgeoft he .

m 2 . 3 s i r e m r o f s n a r t e h t d n a l l a w e r i

f Thesound pressureleve ldataa tdifferen tdistancesfrom the n

i n w o h s e r a r e m r o f s n a r

t Figure .3

e r u g i

F 2. Sketchmapofl ayou tofmeasuringpoints.

e r u g i

F 3. Schematicdiagramoft hesoundpressurel eve la tdifferen tdistances.

e h t f o e s i o n a n o r o c e h t y b d e s u a c e s i o n s u o i r e s e h t f o e s u a c e b , t n e m e r u s a e m f o s s e c o r p e h t n I

f o y t i n i c i v e h t n i t n e m n o r i v n e g n i d n u o r r u s e h t f o e s i o n e h t d n a e c i v e d n o i t u b i r t s i

d thetransformer ,

. m 0 2 t a a t a d d e r u s a e m e h t n a h t r e h g i h e r a m 5 2 e c n a t s i d h ti w s t n i o p e h t t a a t a d d e r u s a e m e h t

r e m r o f s n a r

T Simula itonAnalyssi Transforme rModeilng

r e m r o f s n a r t e h T . l e d o m e h t d li u b o t d e s u s i d o h t e m e c r u o s t n i o p t n e l a v i u q e n a , r e p a p s i h t n

I is

l a u t r i V S M L h g u o r h t d e l e d o

m . Lab software .Simulaiton modelswith 4 ,9 and 16 equivalen tpoin t t n e r e f f i d h ti w s l e d o m n o i t a l u m i s e h t f o s m a r g a i d c i t a m e h c s e h T . y l e v it c e p s e r d e h s il b a t s e s i s e c r u o s

n i n w o h s e r a s e c r u o s t n i o p t n e l a v i u q e f o s r e b m u

n Figure .4

0 5

5 5

0 6

5 6

0 7

5 7

m

1 2m 3m 5m 10m 15m 20m 25m

Attenuationdiagramofeachmeasuringpoin t[dB(A)]

1 e n i l n o i t a u n e t t

A Attenuationl ine3 Attenuationl ine4 5

e n i l n o i t a u n e t t

(4)

6 1 = N 9

= N 4

= N

e r u g i

F 4.Simulationmodelswithdifferen tnumbersofequivalen tpoin tsources. r

e m r o f s n a r

T Simula itonAnalyssi e

h t e t u ti t s b u

S measured data into Equation 5 ,onecan work ou tthesound pressure levelsoffour t n i o p t n e l a v i u q e r u o f f o s l e v e l e r u s s e r p d n u o s e h t n e h T . m h t i r o g l a c i t e n e g y b s e c r u o s t n i o p t n e l a v i u q e

d o m n o i t a l u m i s e h t t e g o t e r a w t f o s n o i t a l u m i s e h t o t n i t h g u o r b e r a s e c r u o

s e loft het ransformersound

n i n w o h s s a d l e i

f Figure5 .

2 e l b a

T .Thesoundpressurel evelsoffourequivalen tpoin tsources. e

m a

N L 1 L 2 L 3 L 4

a t a

D [ Bd (A)] 88.102 89.849 89.691 86.18

e r u g i

F 5.Simulationmode loft ransformersoundfield.

s tl u s e r e h t d n a , a t a d e s i o n n o i t a t s b u s e h t t c i d e r p o t d e s u s i l e d o m n o it a l u m i s e s i o n n o i t a t s b u s e h T

o w t e s e h t n e e w t e b s n o i t a i v e d e h T . 4 e n i l n o i t a u n e t t a m o r f a t a d d e r u s a e m e h t h ti w d e r a p m o c e r a

3 e l b a T m o r f n e e s e b n a c t I . 3 e l b a T n i d e t n e s e r p e r a s tl u s e

r tha twhent henumberoftheequivalen t

e g r a l a s a h d l e i f d n u o s d e t a l u m i s e h t , 4 s i e c r u o s t n i o

p deviation within therangeof4to 5meters ,

e h t , e c n a t s i d f o e s a e r c n i e h t h t i w d n

a deviation increasesgradually .After5meters ,thedeviationis e

r y l l a u d a r

g duced ,andt hesimulatedsoundfieldi sgraduallyapproachingt heactua lsoundfield . 3

e l b a

T .Comparisonsofsimulateddatafromt het ransformermode l(N=4)witht hemeasureddata. ]

m [ e c n a t s i

D Simulationdata[dB(A)] Measureddata[dB(A)] Deviation[dB(A)]

3 7 4 73.8 - 20 .

4 72.6 67.9 - 74 .

5 71.3 65.1 - 26 .

8 68.4 68.3 - 10 .

3

1 64.9 65.2 0 .3

8

1 62.5 6 6 3 .5

y l e v i t c e p s e r e b o s l a n a c s e c r u o s t n i o p t n e l a v i u q e 6 1 d n a 9 h t i w l e d o m r e m r o f s n a r t e h t , y l r a l i m i S

d e h s il b a t s

e ,andt hesimulationdataarecomparedwitht hemeasureddatai nTable4andTable5. 4

e l b a

m [ e c n a t s i

(5)

5 e l b a

m [ e c n a t s i

D Simulationdata[dB(A)] Measureddata[dB(A)] Deviation[dB(A)]

3 7 5 73.8 - 21 .

4 73.4 67.9 - 55 .

5 72.2 65.1 - 17 .

8 69.3 68.3 -1

3

1 6 6 65.2 - 80 .

8

1 63.5 6 6 2 .5

d e t a l u m i s e h t , 6 1 d n a 9 s i s e c r u o s t n i o p t n e l a v i u q e f o r e b m u n e h t n e h w t a h t w o h s 5 d n a 4 s e l b a T

e h t , s e s a e r c n i e c n a t s i d e h t s a d n a , m 5 o t m 3 f o e g n a r e h t n i h t i w n o i t a i v e d e g r a l a s a h d l e i f d n u o s

e h t , m 5 f o e c n a t s i d r e t f A . y l l a u d a r g s e s a e r c n i n o i t a i v e

d deviation is gradually reduced ,and the

. d l e i f d n u o s l a u t c a e h t g n i h c a o r p p a y l l a u d a r g s i d l e i f d n u o s d e t a l u m i

s

e h t f o y c a r u c c a n o i t a l u m i s e h t , m 0 1 o t m 3 f o e g n a r e h t n i h t i w , n o s i r a p m o c l a t n o z i r o h a r o F

e h g i h s i s e c r u o s t n i o p t n e l a v i u q e 4 h t i w l e d o m r e m r o f s n a r

t rthan tha tof the mode lwith 9 and 16

e c r u o s t n i o p t n e l a v i u q e 4 h t i w l e d o m n o i t a l u m i s e h t , s u h T . s e c r u o s t n i o p t n e l a v i u q

e s should be

. e s r e v n i s i n o i t a u t i s e h t , y a w a s r e t e m 0 1 n i e li h W . r e m r o f s n a r t f o t n e m e r u s a e m d l e i f r a e n e h t n i d e t p o d a

8 f o e g n a r e h t n

I to18meters,t hesimulationdeviationi ssimilarfort hesimulationmode lwith9and r e h g i h a s a h s e c r u o s t n i o p t n e l a v i u q e 9 h t i w l e d o m n o i t a l u m i s e h t t u b , s e c r u o s t n i o p t n e l a v i u q e 6 1

n o i t a l u m i s a , e r o f e r e h T . e n o r e t t a l e h t n a h t y c n e i c i f f e l a n o i t a t u p m o

c mode lwtih 9equivalen tpoin t

l a n o it a t u p m o c f o n o it a r e d i s n o c e h t r o f e g n a r s i h t n i g n i l e d o m n o i t a l u m i s n i d e s u e b d l u o h s s e c r u o s

. y c n e i c i f f

e

n o is u l c n o C

g n i w o l l o f e h t , n o s i r a p m o c a t a d d e r u s a e m d n a s i s y l a n a n o it a l u m i s , g n i l e d o m n o i t a t s b u s h g u o r h T

s n o i s u l c n o

c areobtained: .

1 I tis proved tha tthe equivalen tpoin tsourcemethod is feasible and effective for transformer .

g n i l e d o m n o i t a l u m i s

I .

2 tisfound tha tthesimulaitonmode lwith 4equivalen tpoin tsourcesshould beadopted in the o

t n e m e r u s a e m d l e i f r a e

n f transformer ,and the simulaiton mode lwith 9 equivalen tpoin tsources .

d l e i f r a f e h t n i d e t p o d a e b d l u o h

s

e c n e r e f e R

] 1

[ GuXiaoan ,ShenRongying ,XuTajii ,Researcht rendsoft ransformernoiseabroad ,J.Transformer. )

2 0 0 2 ( 9

3 33-3 8.

i e P , o a T n u S ] 2

[ Chunming ,Hu Jingzhu, Noise source mode land simulation analysis of UHV r

e m r o f s n a r

T ,J .Highvotlaget echnology .9(2014)2750-2756. ]

3

[ We iYingsan ,WangYongsheng ,Shenyang,Estimaitonofsuitabiiltyofequivalen tsourcemethod f

o t n e m e g n a r r a l a m i t p o d n

a source,J .Vibrationandshock .34(2015)200-204. ]

4

[ Le iYingjie ,Zhang Shanwen, MATLAB genetic algorithm toolbox and its appilcation, X'ian ,

s s e r p y t i s r e v i n U e c n e i c S d n a c i n o r t c e l