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PSO-MODSIMP :

*

MODSIM (PSO)

MODSIM (MODSIMP)

PSO

PSO MODSIMP

MODSIMP PSO-MODSIMP

.

Ford ResQ

Afzali et al.

(RBS) RBS

Sigvaldason

Gholami-

Zanoosi et al

Lund HEC-PRM

Missouri

MODSIMP MODSIM

MODSIM

Bertsekas MODSIMP

Afzali et al.

MODSIM

PSO

MODSIMP

:

MODSIM

MODSIM

MODSIM (HSOP)

HSOP MODSIM

HSOP

MODSIMP (HSOP)

MODSIM

MODSIM

HSOP

(NFP)





 

 

n

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p i

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e t H t FE

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( ) ( ( 5 . 0 (

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2

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t h t h t h t h

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PSO-MODSIMP ) (t

t

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) (t R_i

i t

) (t

H_i

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)

,(

1 t h _i

i t

)

, (t h_TAILi

i

)

, (t h_{f i}

i t

(MWh) (MCM)

(m)

HSOP NFP

MODSIM

Inflow3 Inflow2

Inflow1

DemandFE3 DemandFE2

DemandFE1 Reservoir3

Reservoir2 Reservoir1

III II

I Sink

(Sink)

MODSIM

10

⁶

m

³

95.83

16.835 3.885

10

⁶

m

³

626.916

1986 510.99

10

⁶

m

³

741.133

2288.76 274.163

10

⁶

m

³

512.699

1683.316 236.827

92 90

94

102 100

104

1000 1000

1000

MODSIM

MODSIM

NFP

  NFP

     

 3

1 ,() ,() ,()

i CiS qSi t Cispill qspi t CiD qRi t Min

PSO-MODSIMP

s.t

























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

flow spill i sp release

i R low i I

storage initial

i S

storage ending

i

S t q t q t q t q t

q ( 1) () ( ) _, () _, ()

inf , ,

,     

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release i i

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i q t D

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max max , ,

min min

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

storage i i

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i q t S

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max max , ,

min min

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qR_, i

qS_, i

qsp_,

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Ci

DEMRi

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i DEMR

C5000010*

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DEMRi_, S

DEMRi_,

spil

DEMRi_, max

,

Di max ,

Si

max ,

spilli

min 0

, 

Ri

min ,

Si min 0

, 

spilli

MODSIM

max ,

Di

i

q

R_,

NFP

max ,

Di i

q

R_,

HSOP

(HSOP) MODSIM

K=1

Di,maxk

NFP

Di,max= Di, maxk

Eik

Di,maxk

= Di,maxk

I,max K = K+1

No

Yes

PSO PSO

PSO Particle Swarm Optimization Eberhart and

Kennedy PSO

D j

T D

jD j j

j x x x

X ( ₁, ₂,..., ) jDT

j j

j v v v

V ( ₁, ₂,..., ) j

jDT j j

j p p p

P ( ₁, ₂,..., )

g Swarm

)]

( ) (

[ _{11 22}

1 k

gd k gd k k

jd k

jd k k

jd k

jd Xwv Cr p x C r p x

v ^     

1

1 

  ^k_jd ^k_jd k

jd x v

x

d=1,2,…,D

=1,2,…,N

j N

w k C1

C2

X

w

r1

r2

[0,1]

PSO

MODSIMP

  P

Fvalue Efirm

Svalue E

PC Pec COST

firm ond



















Re Re

sec

COST Pec

PC

Svalue Fvalue

Efirm

E_second

t Re

Refirm

P

PSO

PSO-MODSIMP

MODSIMP

PSO

PSO-MODSIMP

PSO

MODSIMP

PSO-

MODSIMP

III

II I

SEPSO-MODSIMP CSEPSO-MODSIMP

PSO ( SEPSO )

CSEPSO-MODSIMP

PSO SEPSO-MODSIMP

PSO

K=1

PSO

MODSIMP

PSO

K=K+1

HSOP )

S

DEMRi_,

MODSIM

SEPSO

NFP MODSIM

SEPSO

NFP MODSIM

CSEPSO-

MODSIMP wmax=0.8

wmin=0.1

1

=2.3 C

2

=1.2 C Pem

P

SEPSO-MODSIMP

SEPSO-MODSIMP

MW masl

masl

III II I Gbest

SEPSO-MODSIMP

SEPSO-MODSIMP CSEPSO-MODSIMP

CSEPSO-MODSIMP

MW Masl

Masl III

II I

Gbest

CSEPSO-MODSIMP

0 50 100 150

-9500 -9000 -8500 -8000 -7500

Iteration

Objective Function (M.R

0 50 100 150 200 250 300

-9500 -9000 -8500 -8000 -7500 -7000 -6500

Iteration

Objective Function (M.R)

PSO-MODSIMP

SEPSO

-

MODSIMP CSEPSO-MODSIMP

.

SEPSO-MODSIMP

CSEPSO-MODSIMP

SEPSO-MODSIMP CSEPSO-MODSIMP

CSEPSO-MODSIMP

SEPSO-MODSIMP

SEPSO-MODSIMP CSEPSO-MODSIMP

SEPSO-MODSIMP CSEPSO-

MODSIMP

III II

I

SEPSO- MODSIMP

CSEPSO- MODSIMP

CSEPSO-MODSIMP SEPSO

-

MODSIMP

PSO

MODSIM

NFP

MODSIM PSO

PSO SEPSO-MODSIMP CSEPSO-

MODSIMP

CSEPSO-MODSIMP

PSO

NFP

NFP MODSIM

( NFP )

MODSIM

1. Ford, L., and Fulkerson, D. (1962), “Flows in networks”, Princeton University Press, Princeton, N.J.

2. Afzali, R., Mousavi, S. J. and Ghaheri, A. 2007 A reliability-based simulation optimization model for multi- reservoir hydropower systems operation: Khersan experience. Water Resources Planning and Management, ASCE, in Press.

3. Sigvaldason, O. T. (1976), “A simulation model for operating a multipurpose multi-reservoir system”, Water Resour. Res., 12(2), 263–278.

4. Ginn, T. R. and Houck, M. H. 1989 Calibration of an objective function for the optimization of realtime reservoir operations. Water Resources Research, 25(4), 591-603.

5. Gholami-Zanousi, A., Mousavi, S. J. and Afahar, A. (2004), “Optimization and simulation of a multiple reservoir system operation”, Water Supply: Research and Technology (AQUA), 56(6), 409-424.

6. Lund, J., and Guzman, J. (1999), “Some derived operating vules for reservoirs in series or in parallel”, J. Water Resour. Plan. Manage., 125(3), 143-153.

7. Bertsekas, D. P. (1991), “Linear Network Optimization”, The MIT Press, Cambridge, Mass.

8. Shourian, M., Mousavi, S. J., Menhaj, M. and Jabbari, E. (2008) "Neural Network-based Simulation Optimization Model for Optimal Water Allocation Planning at Basin Scale” Journal of Hydroinformatics, IWA, Volume 10, No. 4, pp. 331-343.

9. Mousavi, S. J., Shourian, M., (2010) “Adaptive Sequentially Space Filling Meta-modeling for Optimal Water- Quantity Allocation at Basin Scale” Water Resources Research, 46, W03520, doi:10.1029/2008WR007076.

10. Kennedy, J. and Eberhart, R. C. (1995). "Particle swarm optimization", Proceedings of the IEEE International Joint Conference on Neural Networks, pp. 1942–1948, (IEEE Press).

11. Shi, Y. and Eberhart, R. C. (1998) "A modified Particle Swarm Optimizer", Proceedings of the IEEE Conference on Evolutionary Computation, AK, Anchorage.