Васильев Ю.С., Виссарионов В.И., Кубышкин Л.И. Решение гидроэнергетических задач на ЭВМ (Элементы САПР и АСНИ)
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srx
ruogenxpoBiuur nrapalm&ecKr{x
nF)qeccoB
I
COMMON
L, LAMBDA, FT,FP,QT,Q(IC), T(10), I,J,F(3).
E
EeprBa4{I'
6yAer
Bbl'rtEerb laK:
r
otn r€MegeHur
,tax6onee npocm Bgecrrr B nporpaM'y c
Knaaxaryphr
,- - I -0,5 \
paclulef,,
ncnorEsyr
Ar{uroroBbre
cxtcleMbr orJra,qxn nporpaMM.
Mogor-
-
=-3-
z
-
""
vlvl;
I
I
rfrposaltrryro
flporpoMrr{y r,loxHo
troMecr]mr
r 6x6nnorery
u Bbr3brBarE
dt L
4fo's
I
ee
Err
BbruonHerrru
KaK c KnaBlarypu
Frcrmef,,
raK n
c
nor\torrtExr
ynpaB.
nffrouprx nep+oKapr B
pexuMe
naKernofi o6pa6orrn 3atraHr{ri.\
2
=
J-
v
-
'
e'
I
C[creMa
ypaBnermi
(21)
uoxer ncnonb3oBarrcr x
grr
lro[em4roBarut
dt F
F
|
rtpoqeomB
B rnApo4tu.ptx
AepuEar$tx
c
o4roKaMepxurrnr
[rrrr
MHoroKa.
F
=
Ft,
z
1
zi
I Y:lI:Iy l!gTy""t*
p@epEyapar\itr{,
ecrr}r B KaMelrax He
Bo3HrKax,l
BOJIHOBbIE
fiBNEIM.E.
F
=
F2,
21
1
2
1
22;
I QD
1
Cne,4ler
o6ponr$ BHtIr.@Hne
Ha ro,
lrro
npx
onpeEeneHlrlr 3HaserMr FP
Ha i-M urare mrerpnpolaHnr ttcnonmyercr
suaqeHne
Y(2), nonyremroe
I
ra (l-l)+l
unre.
O4raro
raroe
goflyrleHle
rro3Borrrer nor}^firr
Aocraro9
HO TorrHbre
EIrr
HH)KeHepHOfi
npaKTr{KH
petlleru{fi.
Dln
yMeHbuer{r{ff
norpeu-
F= F-.
z)
z.-'z
|
-
I
mcngn
MoxHo
r{rMeH}lTb
[rar
uHrerp[poBaHr{r I{ unr BBrBo,qE
pe3ynDTaToB
Q=Q(t).
|
"T1ulll:
.{osonrHo
qacro
B
y3ne
conpffxenr{n
ypaBnureJrbnoro
pe3epByapa
a
Or*rerrn
zt
cB'isa$br c
oTMeTKaMI Itr'MeHeHI|t rmoqagefi ,ti
ropt{ro[.
TyI{IreJIeM
HMeelct
AonorlHt{TetbHoe
ElApaBJlsqecKoe conpoTlBrlenne.
IIo'
rarrbrroR) ceqeHr{'
pe3epBvapa
oreAvrorqrM o6pa3oM. IIpn
uoaen[pona'
fi:ffiffi'ilJ"f;"."ff'1ffi]##iT"j_ffiHr"rJ$"'ffT#fl:
rnfi Ha6poca Harpysrrr
z1
=
vh1
-
v YMo;
HoFo
pe3epByapa
Moxrro
yqecrb
B
rrepBoM
ypaBHeHnH
or"".^r
(tg)
r
(zo)
rlpr{ MoaelrnlxlBaHuu c6poca
Harpy3Kx
c,re4/Iotqtru
o6parou:
zi
=
Vhi-
VHIIY.
dv
s _
Lzo'S
OnpenueHr{e
3Haqeunfr,
zi
B
npouecce
perueHur
cncreMbr
AuQQepeHrs{anb-
.lrbrx
ypaBHellHft,aosN,ro)tcro
B noAnporpaMMe FC,
ecfin BBecTri B
Hee
nofie
oneparopa
REAL
Hafup oneparopoB
IF
(Y (2)
.LE
.z(r))
FP
=
F
(l)
IF
(Y(2) .
GT
.z(r)
.
AND.Y(2)
.
LT.
Z(2)
)
FP= F
(2).
66
4
fo's
2L
dt
rEe
o
-
Ko9oor{qneHT
conporrrBJreHr{ff
Auaoparr4br
ypaBHHrerlbHoro
pe3ep
Byapa.
llonyw,rrr
peuerue
c
freroM
norepb Hanopa B
Isla$parMe
ypaBHHreJrb-
HOro
p$epByapa
MoxHo
no nporpaMMaM, nprrBeAeHHbrM
B ra6rr.
11.
[oc-
67
H
ypaBHeI{I{e
Hepa3pblBHocni
(23)
:
(24)
312;
z )z
dtF
Q
=
QQ);
F
=
F
(z'),
'
l'"--:Tl
-'t-
=ffiN
Ilonrayrcl
rpr{Be.ApHHbtMtr
Bbrre
peKoMeugarsrtMlt,
Mox[o uoptQng.
-LE----l*
:!5ffi1
lFf
por"-
paccr.orpennnre
n
g
13
nporpanncl
taxrnr
o6pasou,
rrro6tr
nory-
prtc.
16,
ypj1er111ren6r4f
pe3ep
I
I
tj I t'h
tgrb
p€urep11e
c crtuu
(24).
ayrp c
drarDparuor
(rixrri
-----1t1
H
Ha
pxc.
18
noKa3as
ar0(tspotutaflrHbtft
ypanrnrrenrrud
p€epByap,
'avpcKas
r3c)
H L:t* | r
Ap3HHlIcKoft
r9C.
hrc. 17.
ypgttI,lT'j
rl'|tbrr
pe3ep.
\S#ts4-
Yparueme
HeycrarroBxB.r[e-roct
pnxeHut
lPtrhr
Ent
raxoft
aeproaluar
Eyrp c BoaosrrroM
|-{ti;+g'
q"f
i
analirx.rro
ypaBHeHlr
(15).
ftr
suBoaa
ypa*Ielod
Eepa3pEllnocn'r
paccMoTprrM
pa3nlrrrHbre
flofioxerll{f,
ypoBHefi
Borbl B KaMepax
ypaBHIrTeIIb-
TaroqHo
B noarrlrorpaMMe
FC aaMet rr narrrft onepamp na
ioro
pesepnyapa.
.4llr
cnyqas'
xorA8 orMerKa aoADr
B
cmffie
.l BbIIle
ypoB'
DR(1)
=-9,81.*
Y(2)tL-
({.25
*
LAMBDATSQRT(3.1a/FT))+Y(1)r
nt Borr
E KaMepe
peaepryapa 2' r'ao,la'o 3aIMcarB
dzr
,
d""
sQRT(Y(l)r*2)
-ALFAT
(Y(2)*sQRT(Y(2)n2)l(Lt2l
t
Q
=
fv
-Ft;
-r"i
,
II EKnxrq[tb
B onacargr
o6glefi o6racrrr rraMrrg ]rMt
rlepeuemoft
ALFA,
r4e
F1
I
F2
-
rmoqr4r
tKrnePeqfiom
@qeHxt
clotKa
n KdMepbI
ypaBHx'
B ocqosHofi
nDorpsMMe CrreEyer
[perycMoTperr BBoa I{ BbrBoa 3Haqe-
Tenbnoro
P€ePDyspa;
zrtrz,-
yPoEHx
losr
B clotKe
KaMope
p€s€P
rmt ALFA.
Eyapa
ofilocl.tlenbr()
rmocKocll{
cPaBlteHxt.
Ha
ptc.
17
rloKa:raH
ypaBH[TeJrnrufi pesepayap
l9C, miasou+rft s repx.
PacxoA
EoSt,
nporeratonlef,
II3 sttttKa
B
xaMelry
ypaBnf,re[Moro
pe
neft
qairn
BoAocmE
a.ni
xorocroro copoci soru. Ilpmrunraa
ga
ucxoa-
I
sepDyapa,
rtoxer
6rnr
onpegel€n
no
Qoplryte
Hyro orcrel,ry
ypaBnemfi (20),
oauemu a nefi
yparueune
xeperphrlHocrn,
dz.
€crr[
ypoBerb
BoADr
B
ypaBHrretrllroM pesepByape
Bbrre orMerKr
Bo[o.
r"i2=
lsigl(21-
z)']p,"t/EEr=7f
,
zs<zr<za'
(25a)
omtaVht:
dt
dt
ra x rpe6nr
aogocrltBa orrnocltTenbxo
nnocrocrr
cltallrer t.
rw
m
-
roerlrlnurerr
pacroqa
BoAool{B
a; b
-
tg11pw,
Boaoorrrga;
IIpl norruuenm
yPoBlrr
EoADI
B cmtre
Ao
orMerKtl
'tr
ypaButnerr'
z"
=
eh"
-
Vvri,ro
s'r''
Haopoc'
i'rl
=
v4
-
v
Hrrv
nrr
c6poca
'""'
.pi,'qry!
"lyi"
ry9lT-i::ry:^!:Y-?-: -Tryg:y--l:I'
v
_f
F
f
nln
yqera
lrgMeHeurr.fi
tlo Bbrcore rmouagu
ropr{3oHTarrbHoro
ceqerur.E
HHxIreft KaMepbI
ryloxHo noAo6pa$ flpH6nl.rxeH]ryro
ururuwflrecKyro
3?BJtr.
cr{MocTb
F
=
F
(z)
wm Bbrpasr{Tb
3To H3MeHeHHe Maccr{3aMu
Fi,
z
i.
B cucrenry
ypaBHelmfi,
npunetreHlrpo
K
BtrAy,
ygo6Horr{y
[Irfl
Mogenn-
poBarun
Ha
9BM,
Bofifer
ypaBHeIMe
HeycranoBr{Bruerocfl
ABr{xeHrnfi
(22)
68
py, 6ytrer
onpeAetlfirbcff
ypaBHeHI{eM
dz
.t
F2::=
pe1m+mbtn
dt
zt)
zsl 22
1
zs,
ftre
tft
-
KoeQoHrrHerrr
pacxotra
BoAootrHBa;
(2,
-
,r)t
l'
,
(2s6)
b
-
lgltn*ta
rpe6nfl BoAocJrIrBa.
69
htc. I 8.
In00eperumamlrrrl
ypaamrrerurbfi
pe3epyap (Aparumcrar
I3C)
:
I
-
crof,K; 2 KaMepa
pe3opByapa;
3-
orrepcrue
B
srorKe
.llanrneftuee
rloBbrrrrerme
orMerKH
K CII)^IaIO, [OKa3aHHOI\,fy
Ha
pnc.
10,
npr{ sroM
6yger
BbmoJrHf,Tbcfi
paBerr.
CTBO
dzz-
f
,=-u-
l,
e,
dt
F1+F2
Fr+F2--
zt)
zs
yt
z2)
za,
(?{n\
Korga
ypoBenb
BotFI B crotKe
HurKe
orBepcrrrfi
u KaMepa
ypannurerrb-
Hono
p€epByapa
elrle
3arronneua soAofi,
pacxoA
rrep$
orBepcrr{e
crofiKa
ofipetrell
fi
ercfi
ypaBHeHueM
z
1D
zs
t4
221
d'.,
=
f
v-
dt
Fr+F2
dzz
o)
#=-p;'/M
-
zs),
zr
(
zo
n
222
dz.,
dt
Q
=
Q(t).
1
6.
MogenxpoBaHne
nepexoAHblx
rnApaBnrqecKrx
npoqeccog
B
cnoxHof,
olcteme
ryHmenr-ypaBx[renbxble
pe3epByapbl
Cxeua
BogotrpoBollqqero
rpaKra
gepnna!+.tomroft
l-?C rrrn
IASC Moxer
3HarmTenbuo
orJrnqarbcff
or
o6rr.urofi
cxeuu,
KorAa
ypaBrnrerlrxufi
pe3eP
Byap
pacflonaraercf,
B KoH[e
Hanopuoro
nogpog.ffuero
ryttlen3.
Cnoxamnm
ffBJrfirorcff
cxeMbl
c
IFYMfi
ypaBHI{TeJIbHbIMH
pe3epByaPaNel
-
Ha nOEDoE
'
UeM
r{
oTBoAffIIIeM
Ty}IHeJIflx
-
H C
HeCKonbKHMH
p€epByaparvo{
Ha
IIof-
BoMrrIeM
T)rmrene
(xarnaxcafl cxeMa),
cxeltll
c
HcnotIb3oBaHHeM
HecKorlb.
Kr{x
BoEoToKoB
I{ T.n.
Orura H3
raKux
cxeM
npHBeAeHa
Ha
p1c.
9.
Boga K
3AaHuIo I3C 4 noR'
f,ulj,nl(')r
rPyurulruDuALtlvr
-,
|:r
rrclrLtPrrDrrvur
L'wwJr^rfu
r
[
,
tLr
+rJ^
pvAv
xpanr{nuu
5 u
10, Kpor"le
roro,
Ty}IHenb
I n6npaer
qacrb
croKa
percn
9.
Jlgarvrerp
ryr{HeJlefi
2,6
u,
AnI{Ha
ogHoro i200
M,
Apyroro
3600 rra.
Ilse
BepmK:rnbubre
rqaxrbr
6
u
8,
pacnofloxenubre
no
ATIHHe
rynHenf
/,
trloryr
paccMaTpHBaTbcfl
KaK
AOnOTIHT{TenbHbIe
l[{IUHAprqeCKHe
ypaBHUTeXbIIbIe
pe3epByapbr.
B
Mecre conprrKeHilff
rymlenff
c rpy6onpoBoAoM
coopy>Kl'
ercff
flpyxKaMeprrbrfi
ypanrarrenrHufi
pe3epByap
c
BoAocJII{BoM
a
nepxHeft
KaMepe
(pnc.
19,6).
Paccuorpuna
6opee
npocryto
cxeN{y
nanopHofi
AepHBauI{u.
(27)
1
Q,
zr)
z,
v
222
F
1+F,
dzz
u)
=-
l,-
dt
F2
dzz
=o,zt1zs
H
z2Kzs.
dt
\m,
zrlzsnzzlzo.
H
Wn
trocnetrgtero
olyrxaff'
Korga
KaMepa
pe3epByaPa
onopoxgega H
ypo-
BeHb Borbt B crotKe
Hltxe oTMeTKll
ftq
1
MoxHo
3amtcaTb
(26a)
(266)
Ilocne npHBeAeHI{ff
ypaBHeHHft
r sury,
ygo6nory
wrf,
tuo4ellnpoBaruff
na 9BM, notryql{M
clrsrel\{y
l,zto'5
Hcrcnrc.nru
eltHor{
Ha 9
cxelot
7tt
nonoxHM,
rno
Byap
2
r$Jrr{Htrpl{qecKoro
rr{na.
flony,xav
Karlraxnylo cxeMy
repHBaE{I{
c
rpeMfl
ypaBrMrenbIIbIMI{
pe3epByapa}fl{
6, I
n
2.
Dln
nepBoro
oT
Bofoxpaunnnq
yqacrKa
pulurtnoft
L
1
ypaBHeHHJI
He.
ycralloBr{Bllrerocff
ABHxeHI{fl
I{
Hepa3pblBnocrn
6ynrr HMerb BH[,
L1
L
1Il-'-
,
vrlv
rl;
dt
dzt
dt
dzz
b)
_-=p-
dt
F2
dzz
e
-;-=
p
-
dt
F2
70
4fo's
I ^
F2 dzz
v--
a-
-
Fr
Ft
dt
t
dttt
Ll -
sign(z
t
-
zz),
zo
I
z,
4
z";
ts
f?'s
'twd
-
fi're(',-'")ttz
dzr
fzvz
=
frvttQ-Fr-+,
dt
rtre
q
-
pacxotr
BoEbI,
nocrynamqefi
s ryllnenb H3
peKH 9, ]JJts Broporo
H
gdt
1l
or,
=
r
dt
L2
dvs
-
g
dt
L3
Z1-
I
Lp
I
L3
(28)
htc, 19,
Cxeua
nanopnofi
AepnBars{n:
d
-
HauopHafi
Aepr{Baurr
c III{TaHueM
rI3
pyx
BoAoxpaHnlnq;
6
-
ADyxKaMepHHn
ypaBHnmnuufi
peaepeyap;
/
Bepxurrt
KaMepa;
2
-
ctont<;
3
-
rruxnxa
KaMepa
dz
r
f
r fz
_:
=
_ yl
--y2+
I
dz
z
f
z
_
=
_
y2
dt
F2
dzs
fs
_=_V3
dt
Fs
o6parnrracf,
erqe
pa3
K cxeMe,
npeAcrilBleruofi
Ha
pnc.
9, u rrpuMeM
trpy-
rrre tTonvrrrelnrg.
fiverr
t{a
ttnnafrrrcrrra*
rlarrnnrrnii na*'o6''F,
^ *,*,
--5
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rrsrrvlrrrvn
AvP.rIDq.uJ'I|l'r
v ruard,ru,t;vl
rr3
EDyx
BoAOXpaHHnHrrl
rrMeercfl
roJrbKo
oAtrdH
rpflHrltrprqecKr{fi
pe3ep
Byap
2.
HanopHafl
AepilBawfr
c rMraHrreM
r{3
AFyx
pa3Hbrx
BotroroKoB
nMe.
eT
Apa
noADoAru${x
ry}IHenn
g1uuofi
I
1
H
L
z,
coemH.glilltuxct
B
oE{H
o6ugfi
TyHHetIb
E;tlffIofi
L
o
c
ypaBnrrreJrbHblM
pe3epByapoM
nepeg
ryp
ft.rrnrnu rpy6onpoBoAoM.
KonedarerbHbrfi
npoqecc
B HeycriuroBnBrueM-
c8
pexl{Me
ftlfi
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ruApaBflHqecKofi
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HeHLtff
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7t2L2to'5
,-- r.
L2 dvz
L1z1z0;5
L1 dvt
.
vzlvzl
+-
:
=Z+
urJurl+
4s
f|'s
s
dt
4s
f?'s
s
dt
'
4ri
a)
fs
-vti
F2
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e=ee).
F3
TpeTbero
)^IacTKoB
uMeeM
eule
ABe
napbr
aua[onnnbrx
ypaBHerluft:
L2
dvz
Zc
=
Zl_
8dt
,rrrr"*
vzlvzli
4s
fg,s
fsvs
=
fzvz
_
F)
or,
,
'dt'
|t2
L
2to's
z
=-
-
-
vzlvzl
-
L2 dvz
dt
Z3
L?
dpt
=22
sdt
trs Z
s
fio'5
,
ua
lue
i;
Lo
dvo
ncr
O'5
sa
9BM, nonywu
'
foro
=
frvr+ lzvzi
Q=fovo-F!!
att
dz^
Q= fsrs-F3
-
dt
I,InAexc
y
nepeMeHIIbIx
yKa3blBaer
HoMep
)ryacrKa
Hanopnoro
ryr{Henfi.
4sf3's
s
dt
IFyux
ypaBHeHIrtMH
Hepa3PbIBHOCTH
COOTB
erCTB
eruro
B
TO
rrKe
Coe4{rre}ruff
fByx
rynnenefi
u
B
ceqeuuu
ypaBHr{rerrbnoro
pe3epByapa
n
ypaBHeHr{eM
[3MeHeHr{r
pacxoAa.
.Urs
cocraBJleHufi
nporpaMn/tbl
peuenur
3agaqu
ytro6Ho
BbrrueyKa3augbre
ypaBuerrur
fipetrcraBrtrb
B BnAe
fiegyrorqefi
cucrervrnr:
72
dvt
g
tr17o'5
,
i
=-3-
Z1-
dt
L
r
4/l's
73
or,
=_
g
z_
trrfio's
vllvrl+
dt
L1
4f?'s
nns
scefi norotrfiruefi
nepnnauuu
z1
--k2vzlvzl
-
2-
dvz
-
k1v1lv1l
gdt
-
l,i no''
L
i
3lecr
k;
=
-j=--.
qrf?,,
dz<
fqv+=fsvs*e-Fs
';
dt
B KOHTIe
BTOpOTO
yqaCTKa
dza
fsvs=f+ut-F4-1_;
dt
B
MeCTe
COe4lHeHI{.fi
np}rX
rytuenefi
f
rvr
=
ftvs
*
fzvzi
v
zlv
zl;
Lr dvr
gdt
dvz
dt
I
L2
tr2
7o'5
tre tr
9
zro'5
z
-
vzlvzl
-
4fl't
(33)
(34)
4L
zf l's
dz
fo
t^
=
-
}.o-
-a;
dt F
F
fz
fo
Ls
dvo
L2
dt
fr
l)g
=
-
v
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r
Anpenar
OCTAHODJIEH