I
nte
rna
t
io
na
l J
o
urna
l o
f
E
lect
rica
l a
nd
Co
m
p
ute
r
E
ng
in
ee
ring
(
I
J
E
CE
)
Vo
l.
11
,
No
.
4
,
A
u
g
u
s
t
2021
,
p
p
.
2
7
3
3
~
2
7
4
2
I
SS
N:
2
0
8
8
-
8708
,
DOI
: 1
0
.
1
1
5
9
1
/
i
j
ec
e
.
v
1
1
i
4
.
pp
2
7
3
3
-
2
7
4
2
2733
J
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ur
na
l ho
m
ep
a
g
e
:
h
ttp
:
//ij
ec
e.
ia
esco
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e.
co
m
Dete
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m
i
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f
the
pri
ce
for a
hy
dro
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urce w
ith
co
nsidera
tion o
f
o
pera
ting co
nditio
ns o
f
hy
dro
po
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plants
using
co
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teria of p
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a
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tion
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De
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a
rtme
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In
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o
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m
s,
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v
o
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irsk
S
tate
T
e
c
h
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ica
l
Un
iv
e
rsit
y
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Ru
ss
ia
Art
icle
I
nfo
AB
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RAC
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A
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ticle
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to
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y:
R
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ed
A
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r
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2
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20
R
ev
i
s
ed
Feb
21
,
2
0
21
A
cc
ep
ted
Ma
r
1
,
2
0
2
1
In
th
is
p
a
p
e
r,
a
u
n
iv
e
rsa
l
m
e
th
o
d
h
a
s
b
e
e
n
d
e
v
e
lo
p
e
d
to
d
e
term
in
e
th
e
p
rice
o
f
a
h
y
d
ro
re
so
u
rc
e
(o
n
e
c
u
b
ic
m
e
ter)
f
o
r
th
e
o
p
e
ra
ti
o
n
a
l
re
g
u
l
a
ti
o
n
o
f
a
h
y
d
ro
p
o
w
e
r
p
lan
t
(HPP
),
w
h
ich
is
a
c
o
m
b
in
a
ti
o
n
o
f
a
n
o
p
ti
m
iza
ti
o
n
m
e
th
o
d
a
n
d
a
m
e
th
o
d
f
o
r
a
ss
e
ss
in
g
th
e
m
a
rg
in
a
l
u
ti
li
ty
.
T
h
e
p
ro
p
o
se
d
a
p
p
r
o
a
c
h
is
b
a
se
d
o
n
th
e
c
o
rre
c
t
re
p
re
se
n
tatio
n
o
f
d
iff
e
re
n
ti
a
l
in
c
re
m
e
n
tal
ra
te
c
h
a
ra
c
teristics
o
f
w
a
ter
a
t
an
HPP
a
n
d
f
u
e
l
a
t
a
th
e
rm
a
l
p
o
w
e
r
p
lan
t
(T
P
P
)
.
T
o
k
n
o
w
th
e
p
rice
o
f
a
h
y
d
ro
re
so
u
rc
e
u
se
d
f
o
r
e
lec
tri
c
it
y
g
e
n
e
ra
ti
o
n
a
t
a
h
y
d
ro
p
o
w
e
r
p
lan
t.
T
h
is
g
iv
e
s
th
e
p
o
ss
ib
i
li
ty
to
in
c
re
a
se
th
e
e
f
f
i
c
ien
c
y
o
f
m
a
n
a
g
e
m
e
n
t
b
o
th
a
t
a
h
y
d
ro
p
o
w
e
r
p
lan
t,
a
n
d
i
n
a
wa
ter
u
ti
li
z
a
ti
o
n
sy
ste
m
a
s
a
w
h
o
le.
Us
in
g
th
e
e
x
a
m
p
les
o
f
No
v
o
sib
irsk
HPP
,
it
is
e
x
p
e
c
ted
to
d
e
v
e
lo
p
a
n
e
sti
m
a
ti
o
n
o
f
e
c
o
n
o
m
ic
e
ff
e
c
t
f
ro
m
th
e
i
m
p
le
m
e
n
tatio
n
o
f
th
e
d
e
v
e
lo
p
e
d
c
rit
e
ria,
th
e
p
r
o
p
o
se
d
m
e
th
o
d
o
f
th
e
c
a
lcu
latio
n
o
f
a
h
y
d
ro
re
so
u
r
c
e
p
rice
a
t
HPP
,
a
n
d
t
h
e
m
e
th
o
d
o
f
se
p
a
ra
ti
n
g
f
u
e
l
c
o
sts
a
t
CH
P
P
.
A
s
a
re
su
lt
o
f
th
e
im
p
le
m
e
n
tatio
n
th
e
d
e
v
e
lo
p
e
d
m
e
th
o
d
f
o
r
t
h
e
H
P
P
,
a
p
r
ice
o
f
e
lec
tri
c
it
y
so
ld
in
th
e
f
lex
ib
le
e
n
e
r
g
y
m
a
r
k
e
t
w
il
l
b
e
c
o
m
p
a
r
e
d
to
th
e
p
rice
o
f
th
e
e
lec
tri
c
it
y
p
ro
d
u
c
e
d
a
n
d
so
ld
a
t
CH
P
P
,
b
e
in
g
e
q
u
a
l
to
a
p
p
r
o
x
im
a
tel
y
3
3
0
r
u
b
l
e
s/M
W
h
.
K
ey
w
o
r
d
s
:
C
o
m
p
le
x
ex
er
g
y
cr
iter
ia
Flex
ib
le
elec
tr
icit
y
m
ar
k
et
H
y
d
r
o
p
o
w
er
p
la
n
t
No
v
o
s
ib
ir
s
k
T
h
er
m
al
p
o
w
er
p
lan
t
T
h
er
m
o
d
y
n
a
m
ic
T
h
is i
s
a
n
o
p
e
n
a
c
c
e
ss
a
rticle
u
n
d
e
r th
e
CC B
Y
-
SA
li
c
e
n
se
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
T
aty
an
a
M
y
atez
h
Dep
ar
t
m
en
t o
f
I
n
d
u
s
tr
ial
P
o
w
er
Su
p
p
l
y
S
y
s
te
m
s
No
v
o
s
ib
ir
s
k
State
T
ec
h
n
ical
Un
i
v
er
s
it
y
2
0
Ma
r
x
av
en
u
e,
No
v
o
s
ib
ir
s
k
,
6
3
0
0
7
3
R
u
s
s
ia
E
m
ail:
tatia
n
a
m
y
ateg
@
m
ail.
r
u
1.
I
NT
RO
D
UCT
I
O
N
I
n
t
h
is
p
ap
er
,
a
u
n
i
v
er
s
al
m
et
h
o
d
w
h
ic
h
is
a
co
m
b
i
n
atio
n
o
f
a
n
o
p
ti
m
izatio
n
m
et
h
o
d
an
d
a
m
eth
o
d
f
o
r
ass
es
s
in
g
th
e
m
ar
g
i
n
al
u
ti
lit
y
h
a
s
b
ee
n
d
ev
elo
p
ed
[
1
]
.
Usi
n
g
t
h
is
m
eth
o
d
,
it
is
r
ea
s
o
n
ab
le
to
s
o
lv
e
th
e
p
r
o
b
lem
o
f
s
h
o
r
t
-
ter
m
o
p
er
atio
n
al
o
p
ti
m
izat
io
n
o
f
lo
ad
d
is
tr
ib
u
tio
n
in
h
y
d
r
o
t
h
er
m
al
p
o
w
e
r
s
y
s
te
m
s
.
C
o
n
s
id
er
in
d
etail
th
e
n
o
v
el
t
y
a
n
d
th
e
e
f
f
icie
n
c
y
o
f
th
e
p
r
o
p
o
s
ed
m
et
h
o
d
in
co
m
p
ar
is
o
n
w
it
h
th
e
e
x
i
s
tin
g
ap
p
r
o
ac
h
[
2
]
.
A
t
p
r
ese
n
t,
th
e
p
r
o
b
le
m
o
f
o
p
ti
m
al
d
is
tr
ib
u
tio
n
o
f
t
h
e
p
o
w
er
s
y
s
te
m
lo
ad
b
et
w
ee
n
h
y
d
r
o
p
o
w
er
p
lan
t
(
HP
P
)
an
d
th
er
m
al
p
o
w
er
p
l
an
t
(
T
P
P
)
is
s
o
l
v
ed
u
s
i
n
g
t
h
e
eq
u
a
lit
y
o
f
t
h
e
d
i
f
f
er
e
n
ti
al
in
cr
e
m
e
n
tal
r
ate
ch
ar
ac
ter
is
tic
s
o
f
f
u
el
co
n
s
u
m
p
tio
n
at
T
PP
an
d
w
ater
c
o
n
s
u
m
p
tio
n
at
HP
P
.
E
v
en
i
n
t
h
e
US
SR
,
s
u
c
h
ch
ar
ac
ter
is
tic
s
w
er
e
ca
lled
th
e
in
cr
e
m
en
tal
r
ate
ch
ar
ac
te
r
is
tics
[
3
]
.
I
t
ca
n
b
e
s
aid
t
h
at
th
e
p
r
o
b
le
m
o
f
ev
alu
a
tin
g
th
e
p
r
ice
o
f
a
h
y
d
r
o
r
eso
u
r
ce
ass
o
ciate
d
w
i
th
t
h
e
o
p
er
atin
g
co
n
d
it
io
n
s
o
f
an
HP
P
in
t
h
e
p
o
w
er
s
y
s
te
m
h
a
s
n
ev
er
b
ee
n
s
o
lv
ed
[
4
]
.
T
h
is
is
s
u
e
w
ill
b
e
f
o
cu
s
ed
o
n
i
n
t
h
e
f
u
r
th
er
p
r
esen
tatio
n
o
f
th
e
in
v
e
s
ti
g
atio
n
.
Desp
ite
t
h
e
f
ac
t
t
h
at
t
h
i
s
ta
s
k
is
r
elate
d
to
t
h
e
s
h
o
r
t
-
ter
m
o
p
tim
izatio
n
o
f
o
p
er
atin
g
co
n
d
itio
n
s
o
f
p
o
w
er
p
lan
ts
i
n
t
h
e
p
o
w
er
s
y
s
te
m
d
u
e
to
t
h
e
li
m
ited
e
n
er
g
y
r
eso
u
r
ce
s
at
t
h
e
HP
P
,
i
t
ca
n
n
o
t
b
e
s
o
l
v
ed
s
ep
ar
atel
y
f
r
o
m
t
h
e
o
p
ti
m
izat
i
o
n
o
f
t
h
e
lo
n
g
-
ter
m
o
p
er
atin
g
co
n
d
itio
n
s
o
f
t
h
e
p
o
w
er
s
y
s
te
m
[
5
]
.
I
n
th
i
s
p
ap
er
,
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
1
1
,
No
.
4
,
A
u
g
u
s
t 2
0
2
1
:
2
7
3
3
-
2742
2734
th
e
s
h
o
r
t
-
ter
m
o
p
ti
m
izatio
n
i
m
p
lies
d
ail
y
o
p
ti
m
izatio
n
,
w
h
ile
th
e
lo
n
g
-
ter
m
o
p
ti
m
izatio
n
m
ea
n
s
w
ater
-
p
o
w
er
o
p
er
atin
g
co
n
d
itio
n
s
o
f
t
h
e
H
P
P
th
r
o
u
g
h
o
u
t
th
e
y
ea
r
tak
in
g
in
to
ac
co
u
n
t
t
h
e
s
ea
s
o
n
al
o
p
e
r
atin
g
co
n
d
itio
n
s
o
f
th
e
HP
P
[
6
]
.
2.
T
H
E
M
AT
H
I
M
AT
I
CAL
M
O
DE
L
O
F
P
O
WE
R
P
L
AN
T
S
M
ANAG
E
M
E
NT
I
n
g
e
n
er
al,
t
h
e
cr
iter
io
n
f
o
r
th
e
o
p
ti
m
al
lo
ad
d
is
tr
ib
u
tio
n
i
n
t
h
e
p
o
w
er
s
y
s
te
m
w
it
h
o
u
t
t
ak
in
g
i
n
to
ac
co
u
n
t t
h
e
tech
n
ical
co
n
s
tr
ai
n
t is a
s
(
1
)
[
7
]
.
1
=
2
=
⋯
=
=
=
(
1
)
w
h
er
e
b
1
, b
2
,
…,
b
n
–
in
cr
em
e
n
t
al
f
u
e
l r
ate
ch
ar
ac
ter
is
tic
s
at
T
P
P
(
n
is
th
e
n
u
m
b
er
o
f
T
PP
in
th
e
p
o
w
er
s
y
s
te
m
)
:
q
:
in
cr
e
m
e
n
tal
w
ater
r
ate
ch
ar
ac
ter
is
tics
at
t
h
e
HP
P
;
λ
:
co
n
v
er
s
io
n
f
ac
to
r
,
th
e
m
ea
n
in
g
o
f
w
h
ich
w
i
ll b
e
co
n
s
id
er
ed
.
I
t
s
h
o
u
ld
b
e
n
o
ted
th
a
t
T
PP
s
ar
e
p
r
esen
ted
i
n
o
p
ti
m
iz
atio
n
ta
s
k
s
a
s
g
en
er
ati
n
g
s
o
u
r
ce
s
w
i
t
h
“u
n
l
i
m
ited
en
er
g
y
r
eso
u
r
ce
s
”
[
8
]
.
T
h
is
i
m
p
lies
t
h
at
an
y
p
o
w
er
o
f
a
p
o
w
er
p
lan
t
w
i
th
i
n
t
h
e
p
er
m
is
s
ib
le
r
an
g
e
o
f
its
o
p
er
atio
n
at
a
g
i
v
e
n
m
o
m
en
t
w
ill b
e
p
r
o
v
id
ed
w
it
h
a
r
eser
v
e
o
f
e
n
er
g
y
r
eso
u
r
ce
,
r
eg
ar
d
less
o
f
th
e
p
o
w
er
v
alu
e
ca
r
r
ied
b
y
th
e
p
o
w
er
p
l
an
t
at
t
h
e
p
r
ev
io
u
s
m
o
m
en
t.
T
h
is
g
i
v
es
th
e
r
ea
s
o
n
f
o
r
co
m
b
in
i
n
g
all
th
er
m
al
p
o
w
er
p
lan
ts
i
n
to
o
n
e
eq
u
i
v
ale
n
t T
PP
,
tak
in
g
i
n
to
ac
co
u
n
t a
ll
th
e
tech
n
ical
co
n
s
tr
ai
n
ts
[
9
]
.
H
y
d
r
o
p
o
w
er
p
lan
t
s
b
elo
n
g
to
g
en
er
ati
n
g
s
o
u
r
ce
s
w
it
h
“li
m
it
ed
en
er
g
y
r
eso
u
r
ce
s
”,
s
i
n
ce
th
eir
am
o
u
n
t
is
d
eter
m
i
n
ed
b
y
t
h
e
h
y
d
r
o
g
r
a
p
h
o
f
t
h
e
r
iv
er
a
n
d
t
h
e
f
i
n
al
u
s
ef
u
l
ca
p
ac
it
y
o
f
t
h
e
r
eser
v
o
ir
.
T
h
is
s
u
g
g
est
s
t
h
at
th
e
HP
P
p
o
w
er
at
a
g
i
v
e
n
m
o
m
en
t
d
ep
en
d
s
o
n
t
h
e
p
o
w
er
,
w
it
h
w
h
ic
h
th
e
HP
P
o
p
er
ate
d
in
t
h
e
p
r
e
v
io
u
s
ti
m
e
in
ter
v
a
l
[
1
0
]
.
T
h
er
ef
o
r
e,
th
e
h
y
d
r
o
p
o
w
er
p
la
n
ts
ca
n
n
o
t
b
e
eq
u
iv
ale
n
t,
s
in
ce
ea
c
h
o
f
t
h
e
m
is
u
n
iq
u
e
w
it
h
t
h
e
ab
o
v
e
-
co
n
s
id
er
ed
co
n
d
itio
n
s
.
Dif
f
er
en
t
ial
in
cr
e
m
e
n
tal
r
ate
ch
ar
ac
ter
is
tic
s
o
f
HP
P
an
d
T
PP
h
av
e
d
i
f
f
er
e
n
t d
i
m
e
n
s
io
n
s
,
n
a
m
el
y
:
=
(
2
)
=
(
3
)
w
h
er
e
B
–
f
u
el
co
n
s
u
m
p
tio
n
r
ate
(
to
n
o
f
co
al
eq
u
iv
ale
n
t/
h
o
u
r
)
,
Q
–
w
ater
co
n
s
u
m
p
tio
n
r
ate
(
m
3
/s
ec
o
n
d
)
.
T
h
er
ef
o
r
e,
th
e
co
ef
f
icien
t
λ
i
n
(
1
)
r
ep
r
esen
ts
a
co
n
v
er
s
io
n
f
ac
to
r
b
ein
g
ca
lled
a
m
ea
s
u
r
e
o
f
t
h
e
ef
f
ec
tiv
e
u
s
e
o
f
h
y
d
r
o
r
eso
u
r
c
es
in
th
e
p
o
w
er
s
y
s
te
m
[1
1
]
.
T
h
er
ef
o
r
e,
it
is
n
ec
e
s
s
ar
y
to
ex
p
er
i
m
e
n
tall
y
s
e
lect
th
e
v
al
u
e
o
f
λ
tak
in
g
i
n
to
a
cc
o
u
n
t
th
e
li
m
ited
h
y
d
r
o
r
es
o
u
r
ce
s
at
th
e
HP
P
.
I
n
th
i
s
c
ase,
th
e
n
u
m
b
er
o
f
iter
atio
n
s
ca
n
b
e
f
iv
e
o
r
m
o
r
e
u
n
ti
l
co
n
d
itio
n
(
4
)
is
f
u
l
f
ill
ed
[
1
2
]
.
T
h
ese
cir
cu
m
s
tan
ce
s
lead
to
a
s
er
io
u
s
co
m
p
lica
tio
n
o
f
ca
lc
u
latio
n
s
ass
o
ciate
d
p
r
i
m
ar
il
y
w
it
h
a
n
in
cr
ea
s
e
i
n
t
h
e
n
u
m
b
er
o
f
ite
r
ativ
e
p
r
o
ce
d
u
r
es,
s
o
lu
tio
n
ti
m
e,
an
d
th
e
co
n
v
er
g
en
ce
o
f
t
h
is
p
r
o
ce
s
s
.
B
ased
o
n
t
h
e
co
n
s
id
er
atio
n
s
,
th
e
co
n
d
itio
n
o
f
o
p
ti
m
al
lo
a
d
d
is
tr
ib
u
tio
n
i
n
a
h
y
d
r
o
th
er
m
al
p
o
w
er
g
en
er
atio
n
s
y
s
te
m
ca
n
b
e
p
r
esen
ted
in
(
4
)
[
1
3
]
.
=
=
(
4
)
Q
HPP
=
Q
GI
V
,
H
=
co
n
s
t,
Р
S
=
N
TPP
+
N
H
PP
,
N
T
PP
min
≤
N
T
PP
≤
N
T
PP
max
,
N
H
PP
min
≤
N
T
PP
≤
N
H
PP
max
,
λ
=
co
n
s
t
w
h
er
e
b
an
d
q
–
in
cr
e
m
en
tal
r
ate
ch
ar
ac
ter
is
tic
s
f
o
r
w
ater
an
d
f
u
el
at
th
e
eq
u
i
v
ale
n
t
T
P
P
an
d
th
e
HP
P
r
esp
ec
tiv
el
y
;
Р
S
,
N
T
PP
,
N
H
PP
–
p
o
w
er
s
y
s
te
m
lo
ad
,
v
al
u
es
o
f
p
o
w
er
s
er
v
ed
b
y
t
h
e
eq
u
i
v
ale
n
t
T
P
P
an
d
th
e
HP
P
r
esp
ec
tiv
el
y
;
N
T
PP
m
in
,
N
T
PP
max
,
N
H
PP
min
,
N
H
PP
max
–
m
i
n
i
m
u
m
an
d
m
ax
i
m
u
m
p
o
w
er
f
o
r
t
h
e
eq
u
iv
ale
n
t
T
PP
an
d
th
e
HP
P
r
esp
ec
tiv
el
y
:
Q
GI
V
–
p
er
m
is
s
ib
le
w
ater
f
lo
w
r
ate
at
t
h
e
HP
P
d
eter
m
i
n
ed
b
y
w
ater
-
p
o
w
er
ca
lcu
la
tio
n
s
;
λ
–
th
e
d
i
m
e
n
s
io
n
co
n
v
er
s
io
n
f
ac
to
r
.
T
h
e
co
n
d
itio
n
H=
co
n
s
t
s
h
o
u
ld
b
e
co
n
s
id
er
ed
s
ep
ar
ately
.
A
t
h
i
g
h
-
h
ea
d
HP
P
s
an
d
t
h
e
HP
P
ca
s
ca
d
e,
th
e
d
o
w
n
s
tr
e
a
m
c
h
an
g
es
(
in
o
th
er
w
o
r
d
s
,
th
e
h
ea
d
ch
an
g
es)
is
ab
o
u
t 1
%,
s
in
ce
i
n
th
i
s
ca
s
e
t
h
e
er
r
o
r
f
o
r
t
h
e
h
ea
d
f
l
u
ctu
a
tio
n
s
is
ap
p
r
o
x
i
m
atel
y
1
%,
t
h
e
n
it
ca
n
b
e
n
eg
lec
ted
.
I
n
th
e
ca
s
ca
d
e
o
f
HP
P
s
,
th
e
d
o
w
n
s
tr
ea
m
o
f
o
n
e
s
tatio
n
i
s
th
e
u
p
s
tr
ea
m
o
f
t
h
e
o
th
er
.
A
s
i
s
k
n
o
w
n
,
th
e
u
p
s
tr
ea
m
ch
a
n
g
es
to
a
les
s
er
ex
ten
t
w
h
e
n
1
m
3
/
s
o
f
w
a
ter
f
lo
w
s
f
r
o
m
th
e
u
p
s
tr
ea
m
t
o
th
e
d
o
w
n
s
tr
ea
m
,
s
in
ce
t
h
e
s
u
r
f
ac
e
o
f
th
e
u
p
s
tr
e
a
m
is
m
u
ch
lar
g
er
th
a
n
th
e
d
o
w
n
s
tr
ea
m
[
1
4
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Dete
r
min
a
tio
n
o
f th
e
p
r
ice
fo
r
a
h
yd
r
o
r
eso
u
r
ce
w
ith
co
n
s
id
era
tio
n
o
f
…
(
T.
V
.
Mya
tezh
)
2735
A
t
m
ed
iu
m
-
h
ea
d
an
d
lo
w
-
h
e
ad
HPP
s
,
h
ea
d
f
lu
ct
u
atio
n
s
ar
e
m
o
r
e
s
i
g
n
i
f
ica
n
t
t
h
an
at
h
ig
h
-
h
ea
d
HP
P
s
.
Ho
w
e
v
er
,
th
e
h
ea
d
at
an
y
HP
P
ch
an
g
es
i
n
s
i
g
n
i
f
ica
n
tl
y
d
u
r
in
g
2
4
h
o
u
r
s
.
T
h
er
ef
o
r
e,
w
h
e
n
d
er
iv
in
g
o
p
tim
izatio
n
cr
iter
ia,
m
o
s
t
o
f
t
en
,
th
e
h
ea
d
ch
an
g
e
s
d
u
r
in
g
2
4
h
o
u
r
s
(
u
n
d
er
o
p
er
atio
n
al
co
n
tr
o
l)
is
n
o
t
tak
e
n
in
to
ac
co
u
n
t.
T
h
e
p
r
o
p
o
s
ed
a
p
p
r
o
ac
h
is
b
ased
,
f
ir
s
t
o
f
all,
o
n
th
e
co
r
r
ec
t
r
ep
r
esen
tatio
n
o
f
th
e
d
if
f
er
en
t
ial
ch
ar
ac
ter
is
tic
s
(
2
)
an
d
(
3
)
.
I
n
d
ee
d
,
th
ese
ch
ar
ac
ter
is
tic
s
s
h
o
u
ld
b
e
d
er
iv
ativ
es
n
o
t
f
r
o
m
th
e
co
n
s
u
m
p
tio
n
o
f
en
er
g
y
r
eso
u
r
ce
s
,
b
u
t
f
r
o
m
t
h
e
co
s
ts
o
f
th
e
ir
u
s
e:
U
В
=
P
В
*В
(
5
)
U
Q
=
P
Q
*
Q
(
6
)
w
h
er
e
P
B
an
d
P
Q
–
th
e
p
r
ice
o
f
f
u
e
l
at
t
h
er
m
al
p
o
w
er
p
lan
ts
an
d
th
e
p
r
ice
o
f
h
y
d
r
o
r
eso
u
r
ce
at
h
y
d
r
o
p
o
w
er
p
lan
ts
r
esp
ec
ti
v
el
y
.
T
h
en
,
e
x
p
r
ess
io
n
s
(
2
)
an
d
(
3
)
w
ill b
e
ca
l
cu
lated
in
(
7
)
an
d
(
8
)
.
dN
dB
с
b
*
(
7
)
dN
dQ
c
q
*
(
8
)
As
f
o
r
th
e
p
r
ice
o
f
f
u
el
at
th
er
m
al
p
o
w
er
p
lan
t
s
P
B
,
th
er
e
ar
e
n
o
f
u
n
d
a
m
e
n
tal
d
i
f
f
icu
lti
es
w
ith
it
s
ca
lcu
latio
n
.
E
v
e
n
in
t
h
e
ca
s
e
o
f
an
eq
u
i
v
ale
n
t
t
h
er
m
al
p
o
w
er
p
lan
t,
it
ca
n
b
e
ca
lc
u
lated
(
w
ith
s
o
m
e
ass
u
m
p
tio
n
s
)
as
a
w
e
ig
h
ted
a
v
er
ag
e
p
r
ice.
I
t
ca
n
b
e
s
aid
t
h
at
th
e
p
r
o
b
le
m
o
f
e
v
al
u
ati
n
g
t
h
e
p
r
ice
o
f
a
h
y
d
r
o
r
eso
u
r
ce
ass
o
ciate
d
w
it
h
t
h
e
o
p
er
atin
g
co
n
d
itio
n
s
o
f
an
HP
P
in
th
e
p
o
w
er
s
y
s
te
m
h
as
n
e
v
e
r
b
ee
n
s
o
l
v
ed
.
I
t
is
th
is
i
s
s
u
e
t
h
at
w
ill b
e
f
o
c
u
s
ed
o
n
in
t
h
e
f
u
r
th
er
p
r
ese
n
tatio
n
o
f
th
e
p
ap
er
.
Desp
ite
t
h
e
f
ac
t
t
h
a
t
t
h
i
s
ta
s
k
is
r
elate
d
to
t
h
e
s
h
o
r
t
-
ter
m
o
p
tim
izatio
n
o
f
o
p
er
atin
g
co
n
d
itio
n
s
o
f
p
o
w
er
p
lan
ts
i
n
t
h
e
p
o
w
er
s
y
s
te
m
d
u
e
to
t
h
e
li
m
ited
e
n
er
g
y
r
eso
u
r
ce
s
at
t
h
e
HP
P
,
i
t
ca
n
n
o
t
b
e
s
o
l
v
ed
s
ep
ar
atel
y
f
r
o
m
t
h
e
o
p
ti
m
iza
ti
o
n
o
f
th
e
lo
n
g
-
ter
m
o
p
er
atin
g
co
n
d
itio
n
s
o
f
t
h
e
p
o
w
er
s
y
s
te
m
.
I
n
th
is
p
ap
er
,
th
e
s
h
o
r
t
-
ter
m
o
p
ti
m
izatio
n
i
m
p
li
es
d
ail
y
o
p
ti
m
iza
tio
n
,
w
h
ile
th
e
lo
n
g
-
ter
m
o
p
ti
m
izatio
n
m
ea
n
s
w
ater
-
p
o
w
er
o
p
er
atin
g
co
n
d
itio
n
s
o
f
t
h
e
H
P
P
th
r
o
u
g
h
o
u
t
th
e
y
ea
r
tak
in
g
in
to
ac
co
u
n
t
t
h
e
s
ea
s
o
n
al
o
p
e
r
atin
g
co
n
d
itio
n
s
o
f
th
e
HP
P
.
T
h
er
ef
o
r
e,
th
e
co
n
d
itio
n
o
f
o
p
ti
m
al
lo
ad
d
is
tr
i
b
u
tio
n
i
n
a
h
y
d
r
o
th
er
m
a
l
p
o
w
er
s
y
s
te
m
ca
n
b
e
p
r
esen
ted
in
t
h
e
n
e
w
f
o
r
m
u
lati
o
n
as
(
9
)
.
**
b
q
id
e
m
(
9
)
H
=
co
n
s
t,
Р
S
=
N
TPP
+
N
HPP
,
N
TPP
m
in
≤
N
TPP
≤
N
TPP
m
ax
,
N
HPP
m
in
≤
N
TPP
≤
N
HPP
m
a
x
T
h
e
f
u
n
d
a
m
en
tal
d
if
f
er
en
ce
s
b
et
w
ee
n
th
e
n
e
w
o
p
ti
m
izatio
n
co
n
d
itio
n
(
9
)
an
d
th
e
p
r
ev
io
u
s
o
n
e
(
4
)
ar
e
o
b
v
io
u
s
.
C
o
n
s
id
er
th
e
m
i
n
m
o
r
e
d
etail.
Her
e
b*
an
d
q*
ar
e
d
eter
m
i
n
ed
f
r
o
m
(
7
)
an
d
(
8
)
b
ein
g
d
er
iv
ati
v
es
o
f
th
e
co
s
t
s
ass
o
ciate
d
w
it
h
t
h
e
u
s
e
o
f
e
n
er
g
y
r
eso
u
r
ce
s
at
T
P
P
an
d
H
P
P,
r
esp
ec
tiv
el
y
.
T
h
er
e
is
also
n
o
v
er
if
icatio
n
i
n
th
e
co
n
d
itio
n
f
o
r
th
e
r
eq
u
ir
e
m
en
t
th
at
t
h
e
av
er
ag
e
d
ail
y
w
ater
f
lo
w
r
ate
at
th
e
HP
P
is
eq
u
al
to
t
h
e
g
iv
e
n
f
lo
w
r
ate
o
b
tai
n
ed
f
r
o
m
th
e
w
ater
-
p
o
w
er
ca
lc
u
lat
io
n
s
i
n
t
h
e
a
n
n
u
a
l
co
n
tex
t.
T
h
is
is
d
u
e
to
t
h
e
f
ac
t
th
at
w
h
e
n
p
lo
tti
n
g
in
cr
e
m
en
t
al
r
ate
ch
ar
ac
ter
is
t
ics
f
o
r
th
e
HP
P
(
q*
)
,
th
e
p
o
w
er
is
co
n
s
id
er
ed
,
w
ith
w
h
ich
t
h
e
HP
P
w
ill
o
p
er
ate
i
n
a
g
i
v
e
n
p
er
io
d
o
f
th
e
y
ea
r
[
1
5
]
.
T
h
is
m
ea
n
s
th
at
t
h
e
f
lo
w
r
ate
an
d
w
ater
h
ea
d
w
er
e
ta
k
e
n
in
to
ac
co
u
n
t.
T
h
er
ef
o
r
e,
th
e
v
er
if
icat
io
n
f
o
r
th
e
eq
u
alit
y
o
f
th
e
a
v
er
ag
e
d
ail
y
w
ater
f
lo
w
r
ate
at
t
h
e
HP
P
t
o
th
e
g
i
v
e
n
f
lo
w
r
ate
is
r
ed
u
n
d
an
t.
T
h
e
n
,
t
h
e
i
ter
ativ
e
n
a
t
u
r
e
o
f
ca
lc
u
latio
n
s
m
en
tio
n
ed
ab
o
v
e
d
i
s
ap
p
ea
r
s
t
h
at
i
s
t
h
e
m
ai
n
ad
v
a
n
ta
g
e
o
f
th
e
p
r
o
p
o
s
ed
ap
p
r
o
ac
h
.
I
n
ad
d
i
tio
n
,
th
er
e
is
n
o
v
er
if
ica
tio
n
f
o
r
λ
=co
n
s
t
,
b
ec
au
s
e
th
e
d
i
f
f
er
e
n
tial
ch
ar
ac
ter
i
s
tics
o
f
th
e
co
s
ts
f
o
r
th
e
u
s
e
o
f
en
er
g
y
r
eso
u
r
ce
s
at
T
P
P (
f
u
el)
an
d
HP
P
(
w
ater
)
h
av
e
th
e
s
a
m
e
d
i
m
e
n
s
io
n
i
n
m
o
n
etar
y
ter
m
s
.
T
h
is
m
a
k
es
it
p
o
s
s
ib
le
to
u
s
e
m
o
r
e
u
n
d
er
s
tan
d
ab
le
a
n
d
co
r
r
ec
t
o
p
ti
m
izatio
n
cr
iter
ia
f
o
r
o
p
ti
m
al
lo
ad
d
is
tr
ib
u
tio
n
in
a
h
y
d
r
o
th
er
m
al
p
o
w
er
g
e
n
er
atio
n
s
y
s
te
m
.
Mo
r
eo
v
er
,
k
n
o
w
led
g
e
o
f
th
e
co
s
t
o
f
w
ater
r
eso
u
r
ce
s
th
at
ar
e
u
s
ed
to
g
en
er
ate
elec
tr
icit
y
at
a
h
y
d
r
o
elec
tr
ic
p
o
w
er
s
tatio
n
is
in
its
el
f
v
al
u
ab
le
an
d
in
f
o
r
m
ati
v
e.
I
t
g
iv
e
s
t
h
e
p
o
s
s
ib
ilit
y
to
i
n
cr
ea
s
e
th
e
e
f
f
icie
n
c
y
o
f
m
a
n
a
g
e
m
e
n
t
b
o
th
at
t
h
e
h
y
d
r
o
p
o
w
er
p
la
n
t,
a
n
d
in
t
h
e
w
ater
u
tili
za
t
io
n
s
y
s
te
m
a
s
a
w
h
o
le.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
1
1
,
No
.
4
,
A
u
g
u
s
t 2
0
2
1
:
2
7
3
3
-
2742
2736
3.
DE
V
E
L
O
P
M
E
NT
O
F
T
H
E
M
E
T
H
O
D
T
O
CAL
CU
L
AT
E
A
H
YDRO
RE
SO
U
RCE
P
RICE
FO
R
O
P
E
RT
O
NA
L
CO
NT
RO
L
O
F
T
H
E
H
P
P
Up
-
to
-
d
a
y
le
v
el
o
f
tech
n
o
lo
g
ical
d
ev
elo
p
m
en
t
r
eq
u
ir
es
to
co
m
b
i
n
e
t
h
r
ee
asp
ec
ts
o
f
o
p
ti
m
izatio
n
:
th
er
m
o
d
y
n
a
m
ic,
tech
n
ical
-
ec
o
n
o
m
ic
a
n
d
en
v
ir
o
n
m
en
ta
l
-
in
t
o
o
n
e
s
y
s
te
m
[
16
]
.
Hy
d
r
o
r
eso
u
r
ce
s
p
la
y
a
v
er
y
i
m
p
o
r
tan
t
r
o
le
i
n
s
av
in
g
p
r
i
m
ar
y
en
er
g
y
an
d
m
ater
ial
r
eso
u
r
ce
s
at
th
e
i
n
p
u
t
o
f
t
h
e
tec
h
n
ical
s
y
s
te
m
.
I
n
t
h
e
lo
n
g
r
u
n
t
h
e
y
r
ed
u
ce
h
ar
m
f
u
l i
m
p
ac
ts
o
n
h
u
m
a
n
s
a
n
d
en
v
ir
o
n
m
e
n
t a
s
a
w
h
o
le
.
T
o
co
n
v
er
t
a
h
y
d
r
o
r
eso
u
r
ce
p
r
ice
in
[
r
u
b
les/
(
m
3
/
s
)
]
w
it
h
t
h
e
co
n
s
id
er
atio
n
o
f
t
h
e
HP
P
o
p
er
atio
n
al
f
ea
t
u
r
es
to
th
e
p
r
ice
o
f
1
k
W
i
n
[
r
u
b
les/
MW
h
]
,
th
e
p
r
o
f
it
m
ax
i
m
izatio
n
cr
iter
io
n
M
R
=M
C
w
a
s
ap
p
lied
[
1
7
]
.
I
t
is
n
ec
es
s
ar
y
to
d
eter
m
in
e
t
h
e
m
ar
g
in
a
l
co
s
ts
at
t
h
e
HP
P
f
o
r
p
o
w
er
o
u
tp
u
t,
o
r
,
in
o
th
er
w
o
r
d
s
,
to
f
o
r
m
th
e
p
r
o
p
o
r
tio
n
.
=
⁄
T
h
e
in
cr
e
m
en
tal
r
ate
o
f
f
u
el
at
th
e
T
PP
(
b
)
an
d
w
a
ter
(
q
)
at
t
h
e
HP
P
ar
e
co
n
s
i
d
er
e
d
as p
r
o
d
u
cts.
I
f
u
tili
t
y
as
a
w
h
o
le
is
n
o
t
q
u
a
n
ti
f
iab
le,
t
h
e
s
a
m
e
ca
n
b
e
r
ela
ted
to
m
ar
g
i
n
al
u
ti
lit
y
.
B
u
t
t
h
e
th
eo
r
y
o
f
v
alu
e
d
o
es
n
o
t
n
ee
d
an
y
p
r
ec
is
e
d
ef
i
n
itio
n
o
f
m
ar
g
in
al
u
tili
t
y
[
1
8
]
.
I
f
it
n
ee
d
s
s
o
m
et
h
in
g
,
t
h
en
o
n
l
y
t
h
e
f
o
llo
w
in
g
:
w
h
e
n
a
s
y
s
te
m
o
f
n
ee
d
s
f
o
r
an
in
d
i
v
id
u
al
i
s
k
n
o
w
n
an
d
h
e
o
w
n
s
a
s
p
ec
if
ied
s
et
o
f
g
o
o
d
s
X,
Y,
Z
,
w
e
ca
n
f
i
n
d
o
u
t
h
is
m
ar
g
i
n
al
r
ate
o
f
s
u
b
s
t
itu
tio
n
b
et
w
ee
n
an
y
t
w
o
g
o
o
d
s
.
T
h
e
m
ar
g
in
a
l
r
ate
o
f
s
u
b
s
t
itu
t
io
n
o
f
a
ce
r
tain
g
o
o
d
Y
f
o
r
a
n
y
o
th
e
r
g
o
o
d
X
is
d
e
f
i
n
ed
as
t
h
e
a
m
o
u
n
t
o
f
Y
th
a
t
ca
n
co
m
p
e
n
s
at
e
an
i
n
d
i
v
id
u
al
f
o
r
th
e
lo
s
s
o
f
t
h
e
m
ar
g
i
n
al
u
n
it o
f
X.
T
h
er
ef
o
r
e,
th
er
e
s
h
o
u
ld
b
e
s
o
m
e
v
al
u
e
th
a
t
w
o
u
ld
lea
v
e
it in
th
e
s
a
m
e
s
tate,
in
w
h
ic
h
it
w
as
b
e
f
o
r
e
s
u
b
s
ti
tu
tio
n
.
Ob
v
io
u
s
l
y
,
t
h
is
m
ar
g
i
n
al
r
ate
o
f
s
u
b
s
ti
tu
t
io
n
i
s
n
o
th
in
g
m
o
r
e
t
h
an
th
e
ex
ch
a
n
g
e
r
atio
o
f
u
til
it
y
f
o
r
X
to
m
ar
g
i
n
al
u
tili
t
y
f
o
r
Y.
T
h
is
r
atio
is
ca
lled
r
elativ
e
m
ar
g
i
n
a
l u
tili
t
y
[
1
9
]
.
I
f
th
e
q
u
an
titi
es
o
f
X
a
n
d
Y
a
r
e
p
lo
tted
o
n
th
e
in
d
i
f
f
er
en
ce
d
iag
r
a
m
(
as
s
u
m
i
n
g
t
h
e
q
u
a
n
ti
ties
o
f
al
l
o
th
er
g
o
o
d
s
to
b
e
g
iv
en
)
,
t
h
e
m
ar
g
i
n
al
r
ate
o
f
s
u
b
s
t
itu
t
io
n
b
et
w
ee
n
X
an
d
Y
w
il
l
b
e
m
ea
s
u
r
ed
b
y
t
h
e
s
lo
p
e
o
f
th
e
in
d
i
f
f
er
en
ce
cu
r
v
e
th
at
p
as
s
es
th
r
o
u
g
h
th
e
p
o
in
t,
at
w
h
ic
h
th
e
i
n
d
iv
id
u
al
is
lo
ca
ted
.
I
t
s
i
m
p
l
y
d
ep
en
d
s
o
n
a
s
y
s
te
m
o
f
in
d
i
f
f
er
en
ce
cu
r
v
es
[
2
0
]
.
Usi
n
g
th
e
g
iv
e
n
i
n
d
i
f
f
er
en
ce
m
ap
,
w
e
ca
n
d
ir
ec
tl
y
d
et
er
m
in
e
t
h
e
s
lo
p
e
at
an
y
p
o
in
t.
I
f
t
h
e
s
lo
p
es
ar
e
g
i
v
en
at
al
l
p
o
in
t
s
w
i
th
in
t
h
e
ar
ea
,
w
e
ca
n
d
ev
elo
p
t
h
e
in
d
i
f
f
er
en
ce
m
ap
f
o
r
th
at
ar
ea
.
I
f
an
in
d
iv
id
u
al
i
n
te
n
d
s
to
b
e
in
eq
u
ilib
r
iu
m
w
it
h
r
esp
ec
t
to
th
e
s
y
s
te
m
o
f
m
ar
k
et
p
r
ices,
h
is
m
ar
g
i
n
al
r
ate
o
f
s
u
b
s
tit
u
tio
n
b
et
w
ee
n
s
o
m
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Dete
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min
a
tio
n
o
f th
e
p
r
ice
fo
r
a
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yd
r
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w
ith
co
n
s
id
era
tio
n
o
f
…
(
T.
V
.
Mya
tezh
)
2737
Fro
m
th
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p
o
w
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i
n
d
u
s
tr
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p
er
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p
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tiv
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3
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F
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
1
1
,
No
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4
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g
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s
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0
2
1
:
2
7
3
3
-
2742
273
8
Fig
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r
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4
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u
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5
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f
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:
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u
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6
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λ
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.
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u
r
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4
s
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u
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Dete
r
min
a
tio
n
o
f th
e
p
r
ice
fo
r
a
h
yd
r
o
r
eso
u
r
ce
w
ith
co
n
s
id
era
tio
n
o
f
…
(
T.
V
.
Mya
tezh
)
2739
co
r
r
esp
o
n
d
in
g
v
al
u
e
o
f
th
e
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n
cr
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eso
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r
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in
[
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u
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les/
(
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3
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s
)
]
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n
s
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n
o
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HP
P
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p
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r
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1
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[
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u
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le
s
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]
,
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e
p
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d
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n
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er
t
w
ater
p
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ice
i
n
to
[
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u
b
les/
MW
∙
h
]
,
it
is
n
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e
s
s
ar
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eter
m
in
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th
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m
ar
g
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at
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b
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d
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ar
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h
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d
if
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ce
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r
v
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n
r
elativ
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n
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s
f
o
r
th
e
h
i
g
h
-
w
ater
p
er
io
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is
illu
s
tr
ated
in
Fi
g
u
r
e
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.
A
c
c
o
r
d
in
g
t
o
th
e
d
e
v
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l
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d
m
eth
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s
a
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p
l
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t
t
h
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c
r
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al
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at
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te
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r
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t
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ad
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t
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e
r
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o
d
o
f
f
il
l
in
g
th
e
H
PP
r
e
s
e
r
v
o
i
r
[
2
6
]
.
T
o
v
e
r
i
f
y
th
e
o
p
e
r
a
b
i
l
ity
o
f
th
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o
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m
o
d
e
l
,
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e
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im
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l
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d
H
PP
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p
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t
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g
m
o
d
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w
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r
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u
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d
,
in
p
a
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r
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e
as
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o
d
s
o
f
th
e
y
e
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r
i
s
s
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o
w
n
in
F
ig
u
r
e
8
.
T
a
k
i
n
g
in
t
o
a
c
c
o
u
n
t
th
e
p
r
i
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e
o
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y
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r
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o
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r
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t
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u
s
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m
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s
s
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m
a
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w
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r
f
l
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w
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t
th
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n
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t
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ty
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i
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i
s
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w
n
in
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ig
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r
e
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o
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th
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h
e
a
d
o
f
H
=
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5
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t
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k
H
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e
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ev
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o
p
e
d
c
r
it
e
r
i
o
n
i
s
s
h
o
w
n
in
F
ig
u
r
e
10.
Fig
u
r
e
7
.
T
h
e
in
d
if
f
er
e
n
ce
cu
r
v
e
f
o
r
th
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r
elati
v
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n
it
s
f
o
r
th
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h
ig
h
-
w
ater
p
er
io
d
Fig
u
r
e
8
.
I
n
cr
e
m
en
tal
w
ater
r
ate
ch
ar
ac
ter
is
tic
f
o
r
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e
No
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ir
s
k
HP
P
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r
H=
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4
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0
5
m
7
7
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2
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4
7
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6
7
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8
8
8
,
2
8
,
4
8
,
6
8
,
8
9
30
130
230
330
430
530
630
N
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М
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q
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m
3
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М
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
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8708
I
n
t J
E
lec
&
C
o
m
p
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n
g
,
Vo
l.
1
1
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No
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4
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A
u
g
u
s
t 2
0
2
1
:
2
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3
-
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2740
Fig
u
r
e
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.
Ma
r
g
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k
HP
P
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r
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=
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m
Fig
u
r
e
10.
T
h
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ch
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le
o
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p
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atin
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m
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es o
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izat
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1
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in
T
ab
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h
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d
a
ta
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tain
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as
a
r
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lt
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f
ca
lcu
latio
n
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co
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r
esp
o
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d
to
th
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ea
l
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alu
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s
.
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o
v
er
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e
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ec
e
s
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m
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ater
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ate
at
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h
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P
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h
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lcu
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ater
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3
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d
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e
th
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a
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w
s
m
ak
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a
co
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s
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ab
o
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t
its
v
al
id
it
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n
d
t
h
e
p
o
s
s
ib
i
lit
y
f
o
r
ap
p
licatio
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et
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d
o
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h
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r
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ter
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r
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r
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ac
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es o
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ased
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m
a
x
i
m
iza
tio
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r
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it c
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
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8
-
8708
Dete
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min
a
tio
n
o
f th
e
p
r
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fo
r
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r
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w
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tio
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…
(
T.
V
.
Mya
tezh
)
2741
co
n
s
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ater
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th
e
lo
w
-
w
ater
p
er
io
d
,
an
d
6
1
3
.
4
7
m
3
/
s
f
o
r
o
p
er
atio
n
w
it
h
n
atu
r
al
r
iv
er
f
lo
w
.
T
h
er
ef
o
r
e,
it
ca
n
b
e
co
n
cl
u
d
ed
th
at
t
h
e
d
ev
elo
p
ed
m
et
h
o
d
o
lo
g
y
al
lo
w
s
n
o
t o
n
l
y
d
eter
m
in
i
n
g
a
p
r
ice
o
f
a
h
y
d
r
o
r
eso
u
r
ce
u
s
in
g
t
h
e
o
p
er
atio
n
al
f
ea
t
u
r
es o
f
t
h
e
HP
P
,
b
u
t a
ls
o
s
o
lv
in
g
en
er
g
y
-
s
av
in
g
an
d
ec
o
l
o
g
ical
p
r
o
b
lem
s
.
T
ab
le
1
.
Op
tim
al
v
alu
e
s
o
f
No
v
o
s
ib
ir
s
k
HP
P
p
o
w
er
o
u
tp
u
t
S
e
a
so
n
F
o
r
H
=
1
4
.
0
5
m
F
o
r
H
=
1
7
.
5
m
F
o
r
H
=
1
7
.
9
m
P
r
o
f
i
t
r
a
t
e
0%
1
2
%
0%
1
2
%
0%
1
2
%
P
o
w
e
r
,
M
W
1
4
0
1
5
9
1
1
8
1
3
6
1
2
0
1
3
7
El
e
c
t
r
i
c
e
n
e
r
g
y
,
M
W
∙
h
1
0
0
8
0
0
1
1
4
4
8
0
8
4
9
6
0
9
7
9
2
0
8
6
4
0
0
9
8
6
4
0
P
o
st
e
d
p
r
i
c
e
,
R
U
B
/
M
W
∙
h
2
5
7
2
7
0
3
2
5
3
3
6
3
1
5
3
2
0
R
e
v
e
n
u
e
,
R
U
B
7
7
7
1
6
8
0
0
9
2
7
2
8
8
0
0
2
7
6
1
2
0
0
0
3
2
9
0
1
1
2
0
2
7
2
1
6
0
0
0
3
1
5
6
4
8
0
0
P
r
o
f
i
t
,
R
U
B
1
5
0
1
2
0
0
0
5
2
8
9
1
2
0
4
3
4
8
8
0
0
4.
CO
NCLU
SI
O
N
T
h
e
cr
iter
io
n
ap
p
ar
atu
s
f
o
r
a
c
o
m
p
r
e
h
en
s
iv
e
as
s
es
s
m
en
t
a
n
d
o
p
tim
izatio
n
o
f
t
h
e
p
r
o
ce
s
s
es
o
f
elec
tr
ic
p
o
w
er
g
e
n
er
atio
n
at
h
y
d
r
o
ele
ctr
ic
p
o
w
er
p
lan
t
s
h
a
s
b
ee
n
s
u
b
s
ta
n
tiated
o
n
t
h
e
b
asi
s
o
f
t
h
e
ex
er
g
y
ap
p
r
o
ac
h
w
it
h
s
u
b
s
ta
n
tiat
io
n
o
f
t
h
e
co
n
ce
p
tu
al
ap
p
ar
atu
s
o
f
"
en
v
ir
o
n
m
en
tal
p
ar
a
m
eter
s
"
.
A
m
eth
o
d
h
as
b
e
en
d
e
v
el
o
p
e
d
t
o
d
e
t
e
r
m
in
e
th
e
p
r
i
ce
o
f
w
a
t
e
r
f
o
r
h
y
d
r
o
el
e
c
t
r
i
c
p
o
w
e
r
p
l
an
t
s
,
w
h
i
ch
a
l
l
o
w
s
n
o
t
o
n
ly
t
o
im
p
r
o
v
e
th
e
e
n
v
i
r
o
n
m
en
t
al
s
i
tu
a
ti
o
n
in
th
e
r
e
g
i
o
n
,
b
u
t
a
ls
o
t
o
i
n
c
r
e
a
s
e
th
e
c
o
m
p
e
ti
t
iv
en
es
s
o
f
p
o
w
e
r
p
la
n
ts
.
R
e
l
ev
an
c
e
o
f
th
e
c
o
n
c
e
p
t
o
f
m
a
r
g
in
al
u
t
i
li
ty
f
o
r
d
e
t
e
r
m
in
i
n
g
t
h
e
p
r
i
c
e
o
f
w
at
e
r
f
o
r
h
y
d
r
o
e
le
c
t
r
i
c
p
o
w
e
r
p
l
a
n
ts
h
as
b
e
en
s
u
b
s
t
an
t
i
a
t
e
d
.
A
m
a
th
em
a
ti
c
a
l a
p
p
a
r
a
t
u
s
h
as
b
e
en
d
ev
e
l
o
p
e
d
f
o
r
e
x
e
r
g
y
o
p
tim
i
z
at
i
o
n
o
f
t
h
e
in
t
eg
r
at
e
d
ef
f
i
ci
en
cy
o
f
p
r
o
c
e
s
s
in
g
p
r
im
a
r
y
en
e
r
g
y
r
e
s
o
u
r
c
es
o
n
th
e
b
a
s
i
s
o
f
i
n
te
r
r
e
l
a
te
d
t
h
e
r
m
o
d
y
n
am
i
c
a
n
d
en
v
i
r
o
n
m
en
t
a
l
-
e
c
o
n
o
m
i
c
c
r
i
te
r
i
a
f
o
r
t
h
e
p
u
r
p
o
s
e
o
f
g
en
e
r
a
ti
n
g
e
l
e
ct
r
i
c
al
e
n
e
r
g
y
.
A
p
p
r
o
b
a
t
i
o
n
o
f
th
e
d
e
v
el
o
p
e
d
ex
e
r
g
o
-
e
c
o
n
o
m
i
c
an
d
t
e
ch
n
i
c
a
l
c
r
it
e
r
ia
f
o
r
c
o
m
p
a
r
in
g
v
a
r
i
o
u
s
t
e
ch
n
o
l
o
g
i
es
f
o
r
th
e
g
e
n
e
r
a
t
i
o
n
o
f
e
l
e
c
t
r
ic
i
ty
an
d
h
e
a
t
b
a
s
e
d
o
n
th
e
o
p
t
im
i
z
at
i
o
n
o
f
HPP
o
p
e
r
a
t
i
o
n
m
o
d
es
w
a
s
c
a
r
r
i
ed
o
u
t
.
T
h
e
m
o
d
e
l
f
o
r
th
e
jo
i
n
t
f
u
n
c
t
i
o
n
in
g
o
f
H
PP
s
i
n
th
e
e
l
e
ct
r
i
c
ity
m
ar
k
e
t
h
a
s
b
ee
n
d
ev
e
l
o
p
e
d
.
RE
F
E
R
E
NC
E
S
[1
]
D.
N.
H
y
m
a
n
,
"
M
o
d
e
rn
M
icro
e
c
o
n
o
m
ics
.
A
n
a
l
y
sis
a
n
d
A
p
p
li
c
a
ti
o
n
s
(in
2
v
o
lu
m
e
s),"
(in
Ru
ss
i
a
n
)
,
M
o
sc
o
w
:
F
in
a
n
c
e
s a
n
d
sta
ti
stics
,
1
9
9
2
.
[2
]
L.
B.
M
e
lam
e
d
,
N.
I.
S
u
slo
v
,
"
Eco
n
o
m
ics
o
f
P
o
w
e
r
En
g
in
e
e
ri
n
g
:
F
o
u
n
d
a
ti
o
n
s
o
f
th
e
T
h
e
o
ry
,
"
(in
Ru
ss
ian
)
,
No
v
o
sib
irsk
:
P
u
b
li
s
h
in
g
Ho
u
se
o
f
th
e
S
ib
e
ria
n
Bra
n
c
h
o
f
t
h
e
R
u
ss
ia
n
Ac
a
d
e
my
o
f
S
c
ien
c
e
s
,
2
0
0
0
.
[3
]
V.
M
.
S
i
n
k
o
v
a
n
d
A.
V.
Bo
g
o
sl
o
v
sk
y
,
"
Op
ti
m
iz
a
ti
o
n
o
f
p
o
w
e
r
s
y
ste
m
o
p
e
ra
ti
n
g
c
o
n
d
it
io
n
s,"
(in
Ru
ss
ian
)
,
Kie
v
:
V
y
sc
h
a
sh
k
o
la,
1
9
7
3
.
[4
]
V.
M
.
G
a
lp
e
rin
,
"
T
h
e
o
r
y
o
f
c
o
n
su
m
e
r
b
e
h
a
v
io
r
a
n
d
d
e
m
a
n
d
,"
(in
Ru
ss
ian
)
,
S
a
in
t
-
P
e
ters
b
u
rg
:
Eco
n
o
m
ic
S
c
h
o
o
l,
1
9
9
3
.
[5
]
B.
N.
M
o
sh
k
in
,
Yu
.
A
.
S
e
k
re
tar
e
v
,
T
.
V
.
Ch
e
k
a
li
n
a
,
"
De
t
e
r
m
in
a
ti
o
n
o
f
o
p
ti
m
a
l
e
lec
tri
c
p
o
w
e
r
o
f
a
p
o
w
e
r
p
lan
t
b
a
se
d
o
n
p
ro
f
it
m
a
x
i
m
iza
ti
o
n
,
"
(
in
Ru
ss
ian
)
,
in
th
e
Co
l
lec
ti
o
n
o
f
sc
ien
ti
fi
c
p
a
p
e
rs
,
A
.
I.
S
h
a
li
n
,
Ed
.
,
No
v
o
sib
irsk
:
No
v
o
sib
irsk
S
tate
T
e
c
h
n
ica
l
Un
iv
e
rsit
y
,
P
a
rt
II
,
p
p
.
4
5
-
5
3
,
2
0
0
2
[6
]
T.
V
.
Ch
e
k
a
li
n
a
,
"
En
su
rin
g
o
f
th
e
g
e
n
e
ra
ti
n
g
c
o
m
p
a
n
y
c
o
m
p
e
ti
ti
v
e
n
e
ss
a
t
th
e
e
n
e
rg
y
m
a
rk
e
t
d
u
e
to
th
e
a
ss
ig
n
m
e
n
t
o
f
th
e
o
p
ti
m
u
m
sta
te
s
o
f
th
e
r
m
a
l
sta
ti
o
n
s,"
in
Pro
c
.
o
f
t
h
e
7
th
Ru
ss
ia
n
-
K
o
re
a
n
In
ter
n
a
ti
o
n
a
l
S
y
mp
o
s
iu
m
o
n
S
c
ien
c
e
a
n
d
T
e
c
h
n
o
l
o
g
y
(
KORUS
-
2
0
0
3
)
,
Ulsa
n
,
Ko
re
a
,
Ju
n
e
2
8
–
Ju
ly
6
,
2
0
0
3
,
p
p
.
6
2
-
6
4
.
[7
]
Yu
.
A
.
S
e
k
re
tare
v
,
T
.
V
.
Ch
e
k
a
li
n
a
,
B.
V
.
M
a
lo
se
m
o
v
,
"
A
d
m
in
istratio
n
F
u
n
c
ti
o
n
i
n
g
P
o
w
e
r
Ge
n
e
ra
ti
o
n
Co
m
p
a
n
ies
b
y
C
rit
e
rio
n
o
f
M
a
x
i
m
iza
ti
o
n
P
r
o
f
it
,
"
S
y
mp
o
siu
m
o
f
p
a
p
e
rs
th
e
6
th
In
ter
n
a
ti
o
n
a
l
F
o
ru
m
o
n
S
tra
te
g
ic
T
e
c
h
n
o
lo
g
y
(
IFOS
T
-
2
0
1
1
)
,
Ha
rb
in
U
n
iv
e
rsity
o
f
S
c
ien
c
e
a
n
d
T
e
c
h
n
o
l
o
g
y
Ha
rb
in
,
C
h
in
a
,
vol
.
1
,
2
0
1
1
,
p
p
.
4
9
1
-
4
9
4
.
[8
]
Yu
.
A
.
S
e
k
re
tare
v
,
T
.
V
.
Ch
e
k
a
li
n
a
(M
y
a
teg
),
B
.
N.
M
o
sh
k
in
,
"
A
d
m
in
istratio
n
f
u
n
c
ti
o
n
i
n
g
p
o
w
e
r
g
e
n
e
ra
ti
o
n
c
o
m
p
a
n
ies
b
a
se
d
o
n
t
h
e
rm
a
l
e
lec
t
rica
l
p
o
w
e
r
sta
ti
o
n
o
n
m
a
x
i
m
iza
ti
o
n
p
ro
f
it
c
rit
e
rio
n
,
"
(in
Ru
ss
ian
)
Pro
c
e
e
d
in
g
s
o
f
th
e
h
i
g
h
e
r e
d
u
c
a
ti
o
n
a
l
i
n
stit
u
ti
o
n
s.
El
e
c
tro
me
c
h
a
n
ics
,
n
o.
4
(5
4
6
),
2
0
1
6
,
p
p
.
8
2
-
8
8
.
[9
]
V
.
A
.
V
e
n
ik
o
v
,
V
.
G
.
Zh
u
ra
v
lev
,
T
.
A
.
F
il
ip
p
o
v
a
,
"
Op
ti
m
iza
ti
o
n
o
f
o
p
e
ra
ti
n
g
c
o
n
d
it
i
o
n
s
f
o
r
p
o
w
e
r
p
lan
ts
a
n
d
p
o
w
e
r
s
y
ste
m
s
(in
Ru
ss
ian
)
,
"
M
o
sc
o
w
:
En
e
rg
o
a
to
m
izd
a
t,
1
9
9
0
.
[1
0
]
V
.
M
.
G
o
rn
s
h
tein
,
"
M
o
st
a
d
v
a
n
ta
g
e
o
u
s
o
p
e
ra
ti
n
g
c
o
n
d
it
i
o
n
s
o
f
h
y
d
ro
p
o
w
e
r
p
lan
ts
i
n
p
o
w
e
r
s
y
ste
m
s
(in
R
u
ss
ian
)
,
"
M
o
sc
o
w
:
G
o
se
n
e
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1
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A.
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,
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se
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m
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(in
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ss
ian
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e
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In
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it
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,
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o
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o
w
:
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u
k
a
,
1
9
9
0
.
[1
2
]
Ye
.
S
.
V
e
n
tse
l,
"
Op
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ra
ti
o
n
s
re
se
a
rc
h
:
P
ro
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m
s,
p
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ip
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m
e
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o
d
o
lo
g
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"
(in
Ru
ss
ian
)
,
M
o
sc
o
w
:
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ss
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o
la,
2
0
0
1
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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4
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A
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t 2
0
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1
:
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2742
2742
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3
]
A.
Z.
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a
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m
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"
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ro
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1
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[1
4
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.
Bru
e
,
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ies
,
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ian
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A
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7
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5
]
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sa
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6
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A
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0
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.
[1
7
]
S.
F
.
G
h
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ri,
A
.
A
z
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h
,
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,
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.
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3
9
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.
5
,
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4
6
3
5
–
4
6
4
6
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A
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r
.
2
0
1
2
.
[1
8
]
V.
M
.
G
a
lp
e
rin
,
S
.
M
.
Ig
n
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ty
e
v
,
V
.
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o
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o
v
,
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icro
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n
o
m
ic
s
,
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Ru
ss
ian
)
,
S
a
in
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-
P
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ters
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rg
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ic
S
c
h
o
o
l,
v
o
l
.
1
,
1
9
9
7
.
[1
9
]
S.
A
z
g
h
a
n
d
i,
K
.
M
a
rk
Ho
p
k
in
s
o
n
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.
Ro
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L
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n
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ricin
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n
DRMS
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g
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rin
g
,
v
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l
.
2
0
1
6
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n
o
.
1
1
,
pp.
3
9
4
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401
,
2
0
1
6
.
[2
0
]
Ch
risto
s
A
.
,
"
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:
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e
c
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s,
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tatio
n
,
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n
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En
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T
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l
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g
y
(
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)
,
2
0
1
7
.
[2
1
]
M
.
A
.
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se
n
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n
d
S
.
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o
h
i
-
F
a
y
e
g
h
,
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Co
g
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ra
ti
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a
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d
Distri
c
t
En
e
rg
y
S
y
ste
m
s:
M
o
d
e
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li
n
g
,
A
n
a
l
y
sis
a
n
d
Op
ti
m
iza
ti
o
n
,
”
In
stit
u
ti
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n
o
f
E
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g
i
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e
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g
a
n
d
T
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c
h
n
o
l
o
g
y
(
IET
)
,
2
0
1
6
.
[2
2
]
Y.
A
.
S
e
k
r
e
tare
v
,
T
.
V
.
M
y
a
te
z
h
a
n
d
A
.
V
.
G
o
rsh
in
,
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Ju
stif
ica
ti
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f
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e
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ter
P
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se
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s
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A
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to
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e
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a
x
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m
iza
ti
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n
P
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o
f
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Crit
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2
0
2
0
In
ter
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o
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a
l
M
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ies
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n
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ia,
2
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p
p
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-
6
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2
1
0
.
2
0
2
0
.
9
2
7
1
2
2
0
.
[2
3
]
B.
N.
M
o
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k
in
e
t
a
l
.,
"
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a
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o
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m
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a
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,"
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Co
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e
n
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S
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s:
M
a
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S
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e
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En
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v
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5
5
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n
o
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0
1
2
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1
6
,
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0
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9
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p
p
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1
-
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d
o
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8
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7
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0
1
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.
[2
4
]
S
e
k
re
tare
v
,
U.
A
.
a
n
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M
it
r
o
f
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n
o
v
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.
V
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,
"
De
c
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p
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m
f
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ro
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m
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t,
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d
In
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In
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En
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M
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2
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1
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d
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:
1
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0
9
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.
2
0
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6
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9
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1
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2
4
.
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5
]
S
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.
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P
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.
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2
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d
In
ter
n
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Co
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En
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6
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S
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Y.,
S
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.
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In
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En
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B
I
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RAP
H
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S O
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AUTH
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RS
Yu
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S
e
k
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P
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De
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In
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strial
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u
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S
tate
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in
1
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.
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n
1
9
9
9
,
h
e
d
e
f
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n
d
e
d
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e
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e
sis
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it
u
a
ti
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ti
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l
m
a
n
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g
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w
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o
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l
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ti
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g
c
o
n
d
it
io
n
s”
(in
Ru
ss
ian
).
He
h
a
s
2
0
0
sc
ien
ti
f
ic
p
u
b
li
c
a
ti
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n
s.
His
sc
ien
ti
f
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li
n
e
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late
s
to
situ
a
ti
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o
p
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ti
o
n
a
l
m
a
n
a
g
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HPP
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.
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