AaHbI eHepreTnqecKHe xapaKTepvrcTr4Kn, nocrpoeHHbre npr4 HeyqeTe
nycKoBbrx norepb pacxoAa 14 HeH3MeHHOM B TerreHHe CyroK Hanope
Ha arperaTax. A.rrs olpeAeJleHHocTr.r npHMeM, qTo Bce r6ApoarperaTbr
oAHHaKOBbI.
Tpe6yercn nafnu raKne pelxuMbr fOC H TOC B reqeHne cyroK,
T. e. Nrsc (l), lVreci U), i:1,2,..., tt, Koropbre o6ecneqnsafiH 6u
MHHHMaJrruufi pacxoA ycJroBHoro rorrJruBa B cr.rcreMe
tnm
. Bc: J > Bt (Nrrc t @) dt -+ min
to l:l
npu ycJroBr.IE 6ananca aKTHBHbtx naoulHocrefi
p (l) : P"(t)- Ahec U) -f rurr" I (/) : o,
i:l
saAaHHoM o6rcue croKa rrep$ f3C sa cyrrff
f*
lvr"" - J Qrec (t) dt : 0
to
( r 0.3)
H H3BeCTHbTX pelKHMaX 3JreKTpoCraUUUfi Ha Har{aflO t6 u KOHerr t^ pac-
cMaTpHBaeMbIX cyroK. Heo6xoAulao raKlKe o6ecnequrt BbrnoJrHeHHe
saAaHHbrx orpaHuqeHufi pelKHMoB f3C H T3C BHAa
/vf5E (/) < l/rec (/) < lrF5t" (r);
/vT5b i (l) < rvreci (/) < ffT3fi (t).
:" flpannono)KuM, qro Bce 3aBHcHMocrH, HcnoJlb3yeMble B pacrrerax,
BKJIroqafl H P"(/), nenpepbrBnbr H ABa>KAnr ar.rQSepeHrrHpyeMbr. TorAa
nocTaBJIeHHyro 3aAaqy MolKHo oTHecTfi K rpaHHqHbrM Bapr.rauHoHHbrM
c H3onepuMerpHr{ecKHMr{ yc;ionrzruH Bu!,a (10.3) npH Hailv.rtr Hero-
JIoHoMHbrx ypasHeHHr? cBrr3H BHAa (i0.2) 14 orpar{H.leuaft rHna Hepa-
BeHcrB (10.4) H (10.5).
B aroM cryqae Mox{Fro cru{Tarb, rrro eKcrpeMyM (10.1) Aocrprra-
eTcfl Ha Tex )Ke 3KcTpeMaJrflx, qTo v 3KcTpeMyM cJreAyroqefo Bbrpa-
}KCHHfl:
6yaer BbrnoJrHrrbcff H3BecTHoe ypaBHe-Hue 3ftnepa - Heo6xoAuMoe yc-
rroBl4e oKcrpeMyua SyHruuoHarla ( 10.6)
F".r. -#o,urr"-o;
.Fdn
F,vrsc t-;F"rr.i:0, i:1, 2, , ,, ffi,
(10.0
(10.8)
(r0. r0)
(10.r r)
nI'e
(r0.r)
(r 0.2)
(r0.4)
( r 0.5)
[aF AF
i Ft :-ir/lsc dMrec
dF
1^l
it *rrf3C
//rec - 3; (10.9)
dt
.dNrt .-T3CIVTOC !: - .
dt
FAI-^^ :-'l vv
tr.-
" ivTSc i - 
'Nrac i
Pacrpoeu ypaBHeHHn (10.7) H (10.8)
F,vrsc -+Frurec:tr*ffi -r(r)+ l
,1ilrec- ^ d dQrec
, dilrec -Lvec _ll 
ffi 
- o;
d JBt
F"rr. i - A Fireg ,:6; 
-?'(t) +
* 
oilrec i' dNrac I dt ofurr" i . .
dNrec
AF
F. :-i
rvrec i ANrec i
txf m
o: J l) a, (NrcctGD +?,(t)q(l) + frecQrsc(4 + IIIrec(l) +
to Ll:l
+ 5 IIIrcci (l)l dt -'f , r, u, t) d.t +min, (10.6)
FrJto
fAe ?u(t) , Irec - HeorpeAeJIeHHbIe HerpHBHarbHbIe MHO)KHTeJIH J\ar-
paH)Ka; U rec(t), III ree (t) - rurpaQuute Sy"*Uutr, BBeAeHHbIe B
UeJIeByFo SyHrqIzro F AJrff yl{era orpaHnueuufi Tr4fia HepaBeHcrB.
LlseecrHo, r{To Mr.rHr4MyM (10.1) 6yaer HMerb Mecro, ecJru Nrec U)
n Nrecl(t), i:1,2, ..., ffr, flBJlflIoTcfl oKcrpeMaJIflMH, T. e. BAoJIb HHx
260
flpoanaJrH3Hpyevr Bo3Mox{Hocrb norytleHLIfi pe[IeHHt ypaBHeHHI
(10.1'0) kr (10.1t) . gnc.rro HeH3BecrHbIx. paBHo (3m*5): (2m+2) -
rrocrof HHbrx LIHTeTpHpoBaHHf ; (m* 1) - pacqerHblX HeHgeecf Hltx
ifrec vr Nrec ; l,rec H fu(/). tlncno ypasHeHuir raKil(e paBHo
(3m*5) : (m+ 1) - ypanHeHnfi 3rl.rrepa; (2m+2) - rpaHuqHblx yc-
aoeHfi H ypaBHeHHr cBn3H (10.2) II (10.3) ,
I4Hurrrn cJroBaMH, ecJrr4 paccMarpriBaeMbre ypaBHeHHfl H€coBM'€cr-
lrbr, a orpaHHtleFIHfl IIe flBJIfllOTcfl IIpOTHBOpeqaIIIHMH Apyf Apyfy, To
perrreHue gaAaqn MolI{eT 6rtrl uafiAeuo, ecJIH OHo cyulecTByeT.^ 
Heo6xoAHMbre ycJroBrrfl onrnMaJrbHoro pacnpeAeJleHnfl aKrHBHofi
Harpy3Kn gHeprocH-creMbr Moryr 6urr npeliranJleHbl B aHa,'IHTHqecKbM
Br.rAe cJreAyroqraru o6p a3oM :
Dirc , (t) : bi"", (t) : ,: biec^ (t) : ],recqiec1) : t'(t),
rAe
blec t - brec 1 * brec i * bu ii
4iec : 4rac* qrL" * 4*r"c
(ro. r 2)
) tro.r3), 
,u,