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HYDROELS.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HYDROELS
* Problem :
* *********
* A hydroelectric reservoir management problem (short term)
* Source:
* H. Gfrerer, "Globally convergent decomposition methods for
* nonconvex optimization problems",
* Computing 32, pp. 199-227, 1984.
* SIF input: Ph. Toint, June 1990.
* classification OLR2-AN-169-168
* Problem data
RE RHO 1000.0 $ Volumetric weight of water (kg/m**3)
RE G 9.81 $ Gravity constant (m/s**2)
RE AT 0.52 $ Peak tarif (OS/KWh)
RE AN 0.45 $ Off-peak tarif (OS/KWh)
RE QMIN 0.0 $ Min discharge to turbines (m**3/s)
RE QMAX 26.0 $ Max discharge to turbines (m**3/s)
RE VMIN 60000.0 $ Minimum reservoir volume (m**3)
RE VMAX 736000.0 $ Maximum reservoir volume (m**3)
RE ZMIN 8.0 $ Minimum inlux value (m**3/s)
RE ZMAX 11.5 $ Maximum inlux value (m**3/s)
RE FSCALE -1.36D+6 $ Objective scaling (as in paper)
* Time slicing
IE DT 3600 $ Time slice (s)
IE NDTM 5 $ Number of time-slices in MORNING
IE NDTD 16 $ Number of time-slices in DAY
IE NDTE 3 $ Number of time-slices in EVENING
IE NDTSM 7 $ Number of time slices in sat-morning
IE NDTWE 36 $ Number of time-slices in week-end
* Computed parameters
I+ NDTN NDTE NDTM
IA MON-AM NDTM 0
I+ MON-PM MON-AM NDTD
I+ TUE-AM MON-PM NDTN
I+ TUE-PM TUE-AM NDTD
I+ WED-AM TUE-PM NDTN
I+ WED-PM WED-AM NDTD
I+ THU-AM WED-PM NDTN
I+ THU-PM THU-AM NDTD
I+ FRI-AM THU-PM NDTN
I+ FRI-PM FRI-AM NDTD
I+ SAT-AM FRI-PM NDTN
I+ SAT-NO SAT-AM NDTSM
I+ N SAT-NO NDTWE
IA N-1 N -1
RM -ZMIN ZMIN -1.0
R+ ZRANGE ZMAX -ZMIN
RM ZVAR ZRANGE 0.5
R+ AVZ ZMIN ZVAR
RI RDT DT
RD 1/DT RDT 1.0
RM -1/DT 1/DT -1.0
R* RHOG RHO G
R/ FSCAL FSCALE RHOG
* Constants
IE 0 0
IE 1 1
* Set the tarif as a function of time
IA MOA-1 MON-AM -1
DO T 0 MOA-1
AA A(T) AN 0.0
ND
IA MOP-1 MON-PM -1
DO T MON-AM MOP-1
AA A(T) AT 0.0
ND
IA TUA-1 TUE-AM -1
DO T MON-PM TUA-1
AA A(T) AN 0.0
ND
IA TUP-1 TUE-PM -1
DO T TUE-AM TUP-1
AA A(T) AT 0.0
ND
IA WEA-1 WED-AM -1
DO T TUE-PM WEA-1
AA A(T) AN 0.0
ND
IA WEP-1 WED-PM -1
DO T WED-AM WEP-1
AA A(T) AT 0.0
ND
IA THA-1 THU-AM -1
DO T WED-PM THA-1
AA A(T) AN 0.0
ND
IA THP-1 THU-PM -1
DO T THU-AM THP-1
AA A(T) AT 0.0
ND
IA FRA-1 FRI-AM -1
DO T THU-PM FRA-1
AA A(T) AN 0.0
ND
IA FRP-1 FRI-PM -1
DO T FRI-AM FRP-1
AA A(T) AT 0.0
ND
IA SAA-1 SAT-AM -1
DO T FRI-PM SAA-1
AA A(T) AN 0.0
ND
IA SAN-1 SAT-NO -1
DO T SAT-AM SAN-1
AA A(T) AT 0.0
ND
DO T SAT-NO N
AA A(T) AN 0.0
ND
* Set the influxes as a function of time
* (not specified in the paper: a periodic variation between the
* specified bounds is used)
DO T 0 N
I* TSECS T DT
RI TS TSECS
R( STS SIN TS
R* VARZ STS ZVAR
R+ ZT AVZ VARZ
AA Z(T) ZT 0.0
ND
VARIABLES
DO T 0 N
Z V(T) 'SCALE' VMAX
ND
GROUPS
* Objective function
ZN F 'SCALE' FSCAL
* Debit constraints
DO T 1 N
IA T-1 T -1
ZG Q(T) V(T) -1/DT
ZG Q(T) V(T-1) 1/DT
ND
CONSTANTS
* Debit constraints
DO T 1 N
IA T-1 T -1
AM -ZT Z(T-1) -1.0
R+ C QMIN -ZT
Z HYDROELS Q(T) C
ND
RANGES
* Debit constraints
RM -QMIN QMIN -1.0
R+ QRANGE QMAX -QMIN
DO T 1 N
Z HYDROELS Q(T) QRANGE
ND
BOUNDS
ZX HYDROELS V(0) VMAX
DO T 1 N-1
ZL HYDROELS V(T) VMIN
ZU HYDROELS V(T) VMAX
ND
ZX HYDROELS V(N) VMAX
START POINT
DO T 0 N
Z HYDROELS V(T) VMAX
ND
ELEMENT TYPE
EV QI V W
EP QI ZW TS
ELEMENT USES
DO T 1 N
IA T-1 T -1
XT OE(T) QI
ZV OE(T) V V(T)
ZV OE(T) W V(T-1)
ZP OE(T) ZW Z(T-1)
ZP OE(T) TS RDT
ND
GROUP USES
DO T 1 N
IA T-1 T -1
ZE F OE(T) A(T-1)
ND
OBJECT BOUND
* Solution
*LO SOLTN -3582268.33
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HYDROELS
TEMPORARIES
R A
R B
R G
R AA
R AAA
R BB
R VV
R WW
R Q
R DQDV
R DQDW
R RI
R DIDV
R DIDW
R D2IDV2
R D2IDW2
R D2IDVW
INDIVIDUALS
T QI
A A -3.12
A B 8.7D-6
A G 160.989
A VV 1.0D-6 * V
A WW 1.0D-6 * W
A AA A * TS / 3.0
A AAA 1.0D-12 * AA
A BB 0.5 * B * TS
A Q ZW + ( W - V ) / TS
A DQDV -1.0 / TS
A DQDW 1.0 / TS
A RI AA * ( VV * VV + VV * WW + WW * WW )
A+ + BB * ( V + W ) + G * TS
A DIDV AAA * ( V + V + W ) + BB
A DIDW AAA * ( W + W + V ) + BB
A D2IDV2 AAA + AAA
A D2IDW2 AAA + AAA
A D2IDVW AAA
F Q * RI
G V DQDV * RI + Q * DIDV
G W DQDW * RI + Q * DIDW
H V V 2.0 * DQDV * DIDV + Q * D2IDV2
H V W DQDV * DIDW + DQDW * DIDV + Q * D2IDVW
H W W 2.0 * DQDW * DIDW + Q * D2IDW2
ENDATA