Motorsincronsinteza Stator Rotor

8/10/2019 Motorsincronsinteza Stator Rotor

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SINTEZA 2 (Stator+Rotor) %exemplu de calcul

'Date nominale si de catalog'

Pn=52000 %puterea mecanica la ax, in W

p=2 %nr perechi poli

f1n=50cosfi1n=0. %capaciti!

fi1n=acos"cosfi1n#% fi1n $0,pt cosfin capaciti!

%fi1n=acos"cosfi1n#% fi1n &0,pt cosfin inducti!

sinfi1n=sin"fi1n#

rann=.1

efn=cosfi1n(rann

)m=2 % )m=)m*)n, se diminuea+a daca ddo&0

n=Pn*"rann(cosfi1n#

sumapn="1rann#(cosfi1n

prefn=sumapn*- %pierderi de referinta pt p1n=pen=pfen/pmecn

=250 %gaarit,in mm

'Date nominale calculate, din triunghiul curentilor'

mm=)m(efn

%ienc=mm % curent de excitatie,in u.r., nominal,din triunghiul simplificat

alcurentilor

ienc=)m("1/efn#*2 %curent de excitatie nominal,corectat

imnc=srt"ienc32cosfi1n32#sinfi1n %curent de magneti+are,!e+i diagrama

curentilor

xmnc=1*imnc % estimare reactanta de magneti+are

tetanc=atan"cosfi1n*"imnc/sinfi1n## %unghi intern nominal,in radiani

tetagnc=tetanc(140*pi

'parametri schemei echi!alente'

p1nc=sumapn*- % ipote+a pierderilor uniform distriuite

ponc=sumapnp1nc % ponc=pmec/pfe1/pen =const

r1n=p1nc

xs1n=0.1(xmnc %se estimea+a reactanta de scapari

+1n=r1n/(xs1n

u1+=1 %origine de fa+a

i1+c=exp"(fi1n#

um+=u1++1n(i1+c

umc=as"um+#

xmn=umc*imnc %reactanta de magneti+are,corectata

r6n=umc32*ponc %re+istenta echi!alenta pierderilor constante

+mn=(xmn(r6n*"r6n/(xmn#

'77 789:;


2/16

hfe=A15- 144 252 -B0 5B0 1200 2400 B000 10>00 1?200 2?000C %int. c.

magnetic,*m

ppfet=A2.B -.1 -.? >.> 5.1 5. B.B ?.5 4.> .> 10.>C% W*@g ,tael,tola 0.5 mm

fet=A> 5 ? 1- 22 >B 100 11 ->1 5?BC %0

@fo=1.5

@f1"n#=@fo/n(d@ %factorul de geometrie stator

E"n#="@f1"n#1#*@f1"n#3-%factorul de compatiilitate &>*2?

sp"n#=spo(@f1"n# %!ectorul Ponting

ap"n#=e*sp"n# %suprafata Ponting

%dimensiuni principale

a"n#=ap"n#*pi % a"n#=d"n#(l"n#=ap"n#*pi

"n#=2(p("@f1"n#1#*"pi(af1# % "n#=d"n#*l"n#

d"n#=srt"a"n#("n##%diametrul interior stator

l"n#=srt"a"n#*"n##%lungimea acti!a stator

!1"n#=pi(f1n(d"n#*p%!ite+a periferica a campului in!artitor

tau"n#=pi(d"n#*"2(p# %pasul polar

plot"@f1,d,@f1,l# %dimensiunile principale ale masinii

% solicitari electromagnetice

es"n#=!1"n#(d*srt"2# %intensitatea campului electric indus,prin

rotatie,!aloare efecti!a,"*m#

a1"n#=sp"n#*es"n# % pan+a de curent,a1=s!aloare efecti!a, "


3/16

h1"n#=@1(d"n#*"2(p#%inaltime ug stator

de"n#=d"n#/2(hc1"n#/2(h1"n# %diametru exterior,tola stator

+1m"n#=d*"@i+fe1("@+1/hc1"n#*d"n### %inductia de calcul,medie, la 1*2 dinte

trape+oidal

%+1m"n#=+1 %dinte drept

den"n#=Den(n*n %diametru impus "orientati!#

plot"@f1,hc1,'',@f1,h1,'.'#

1.5 2 2.5 3 3.50.01

0.015

0.02

0.025

0.03

0.035

0.04

0.045

0.05

% Eig.2

plot"@f1,de,'',@f1,den,'x',@f1,d,'.',@f1,l,'('#%re+ulta solutie @f1x pt de=den

"impus#,aici @f1=2.5

1.5 2 2.5 3 3.5

0.2

0.25

0.3

0.35

0.4

0.45

0.5

0.55

%Eig.-

%consumuri specifice materiale acti!e stator

1.5 2 2.5 3 3.51.5

2

2.5

3

3.5

4

4.5

5x 10

-3


4/16

% Eig >

ccu1"n#=dcu1(p1n*"ro1(1"n#32# %consum specific de cupru "@g*


5/16

gamae=2*-%pondere +ona oinata"crestata#in rotor

alfat=gamae %poli inecati

%inductii magnetice impuse

2=1.B % inductia in ugul rotor,reglea+a ddo$0

+2=1.2 % inductia minima"spre intrefier#in dinte trape+oidal

@2=d*"2(@i+fe2#

@+2o=d*"+2(@i+fe2#%date infasurare de excitatie

ro2=ro1dcu2=dcu1xcu2=xcu1

af2=pi*- %Ff2*tau,factorul +onei frontale,inf.excitatie poli inecati

@u2=0.? %factor de umplere crestatura rotor

@p2=0.? %cota alocata pierderilor oule in exc,"0.50.?# din dpo"parametru

regla pt ddo$0

p2"n#=@p2(dpo"n# %pierderi Joule,in u.r., alocate in excitatie "c.c.#

pm!"n#=dpo"n#p2"n# %pierderi mecanice si !entilatie,in u.r.

% dimensiuni principale rotor

@f2"n#=1/"af2*af1#("@f1"n#1#%factorul mediu,al +onei frontale ,infas. de

excitatie

G2t"n#=p2"n#(@s(sp"n#*@f2"n# %flux termic unitar,infas. de excitatie

G1tn"n#=G1t(n*n plot"@f1,G1tn,'.',@f1,G2t,''#%figB

1.5 2 2.5 3 3.52400

2500

2600

2700

2800

2900

3000

3100

3200

% solicitari electromagnetice rotor

@f=">*pi#(sin"alfat(pi*2#*"alfat(pi*2#

@ae="2(srt"2#*pi#(@ad(@61*@f a2"n#=@ae(ien(a1"n# %pan+a de curent in rotor "excitatie#

2"n#=G2t"n#*"ro2(a2"n## %densitatea de curent in infas. de excitatie

%dimensiuni trans!ersale rotor"de re!a+ut hc2 pt masina

%a#.crestatura dreptunghiulara ,dinte trape+oidal

hc2"n#=a2"n#*"alfat(@u2("1@+2o#(2"n## %inaltime crest dreapta ,rotor

"oinat pe 2*- din periferie

h2"n#=@2(d"n#*"2(p#%inaltime ug rotor

di"n#=d"n#2(hc2"n#2(h2"n#%diametru interior"magnetic#rotor

ddo"n#="di"n#do#*2 %$0 conditie de reali+ailitate"se pot scade )m si @p2#

plot"@f1,ddo,'',@f1,hc2,'.',@f1,h2,'o'# %ddo$0,conditie de reali+ailitate


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1.5 2 2.5 3 3.5-0.02

0

0.02

0.04

0.06

0.08

0.1

0.12

%Eig.?

%os. consumul si costul specific de materiale acti!e in rotor

ccu2"n#="dcu2(p2"n#*"ro2(2"n#32## %consum specific cupru in exc.

@@2"n#=1"h2"n#*d"n##"2(hc2"n#*d"n##

cfe2"n#=dfe2(@@2"n#(h2"n#*"@s(sp"n##

cfe+2"n#=dfe2("@+2ohc2"n#*d"n##(hc2"n#*"@s(sp"n##%ipote+a crestarii

uniforme a rotorului

cfe2"n#="cfe2"n#/cfe+2"n##/dfe2(pi("di"n#32do32#(l"n#*">(n#

cm2"n#=ccu2"n#/cfe2"n#

@m2"n#="ccu2"n#(xcu2/cfe2"n#(xfe2#

cfe"n#=cfe1"n#/cfe2"n#

ccu"n#=ccu1"n#/ccu2"n#

cm"n#=ccu"n#/cfe"n#

@m"n#=@m1"n#/@m2"n#

plot"@f1,cm,'',@f1,@m,'.'#


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1.5 2 2.5 3 3.53.5

4

4.5

5

5.5

6

6.5

7x 10

-3

%fig.

%modulul IK5 pierderile de putere reacti!a in rotor,fe2

fe+2"n#=interp1"fe,fet,+2m"n## %


8/16

1.5 2 2.5 3 3.51.8

2

2.2

2.4

2.6

2.8

3

3.2

3.4x 10

-3

% fig.11

grid

end

'I:;MF9


9/16

'dimensiuni principale'

Fx=l"nx#

Dx=d"nx#

hc1x=hc1"nx#

h1x=h1"nx#

Dex=de"nx#

epsiDex="DexDen#*Den %aatere fata de De impus ' Eig. desen,-D, mie+ feromagnetic stator"fara crestaturi#'

'#performante economice stator'

ccu1x=ccu1"nx#

cfe1x=cfe1"nx#

cfe+1x=cfe+1"nx#

cfe1x=cfe1"nx#

cm1x=cm1"nx#

@m1x=@m1"nx#

'K. IN9NI'

'solicitari electromagnetice'

@f2x=@f2"nx# %factor de geometrie rotor

p2x=p2"nx# %pierderi oule in excitatie"puterea de excitatie#

pm!x=pm!"nx# %pierderi mecanice si !entilatie

G2tx=G2t"nx# %flux termic ,oina rotor


10/16

2

fi1nx =

25.4>1

cosfi1nx =

0.000

rannx =

0.100

)nx =

--.10>2

)mx =

2

Dex =

0.>250

Gt1x =

-000

sumapnx =

0.0410

prefx =

0.02?0

ans =

parametri schemei echi!alente in9

r1x =

0.02?0

xsix =

0.04?-


11/16

r6x =

1.14->

xmx =

0.440

ienx =

1.410

imnx =

1.1>>

umnx =

1.01?4

ans =

NFM97< NP97)2

J1 =

5.2>-e/00B

ans =

dimensiuni principale

Fx =

0.2>>B

Dx =

0.2?>

hc1x =

0.021?

h1x =

0.0>1-

Dex =

0.>2-5


13/16

epsiDex =

0.00->

Eig. desen,-D, mie+ feromagnetic stator"fara crestaturi#

#performante economice stator

ccu1x =

-.5522e00>

cfe1x =

0.001-

cfe+1x =

-.02?e00>

cfe1x =

0.001B

cm1x =

0.0020

@m1x =


14/16

0.00->

ans =

K. IN9NI

ans =

solicitari electromagnetice

@f2x =

2

p2x =

0.020>

pm!x =

0.020>

G2tx =

2.4-54e/00-

e/00>

J2 =

-.5--Be/00B

ans =

dimensiuni trans!ersale rotor

deltacx =

0.00-2

d2cx =

0.210

hc2x =


15/16

0.0B?4

h2x =

0.0-5

dix =

0.0?B-

ddox =

0.00-4

@miux =

1.21

ans =

Eig.,desen,-D,mie+ feromagnetic rotor "fara crestaturi#

ans =

performante economice rotor

ccu2x =

5.1B2e00>

cfe2x =

0.001-

cm2x =


16/16

0.001

@m2x =

0.00-1

ans =

performante economice stator/rotor

cmx =

0.00-

@mx =

0.005?

$$

Nser!atiiH

se !or e!identia principalele sec!ente de calcul ale algoritmului Ponting

pentru stator si rotor "!e+i semnificatia marimilor si relatiile de calcul#,cu

e!identierea marimilor adoptate"ex.date de material,factori de umplere,etc.#,

respecti! calculate

se !or comenta graficele otinute,axe de coordonate,semnificatia

marimilor,unitati de masura,etc.

se !a ustifica alegerea solutiei optime statorrotor "@f1opt#,a!and in

!edere conditiile de reali+ailitate"ex. ddo po+iti!, @miun inferior 1.-1.> #si

criteriile de optimi+areH De=Den, respecti!,cm,sau @m =min.

se !a completa setul de !alori optimale cu semnificatia "denumirea#

marimii adoptate, unitati de masura,etc

se !or completa dimensiunile schita stator ,rotor

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Motorsincronsinteza Stator Rotor