/

1

m3

2

01

02

03

04

P01 P02 P03

A

R02 R03

D03D03

R01

D01D01 D02D02

B

X01 X02 X03 X04

X06X05 X09

X07

X08

X10 X11

Level 01

Level 02

Level 03

Level 04

01

02

03

04

P01 P02 P03

A

R02 R03

D03D03

R01

D01D01 D02D02

B

X01 X02 X03 X04

X06X05 X09

X07

X08

X10 X11

Level 01

Level 02

Level 03

Level 04

TreatmentPlants

(Symbol: P)

SupplyingStations

(Reservoirs)(Symbol: R)

Node Points

Distribution Areas

(Symbol: D)

Distribution Areas

(Symbol: D)

PPPPPP

Electricalconsumption

Treatment Supply Distribution

3 http://www.waterworks.metro.tokyo.jp/suidojigyo/torikumi/kankyo/pdf/energy_plan.pdf

4 10 http://www.waterworks.metro.tokyo.jp/suidojigyo/torikumi/kankyo/pdf/energy_plan.pdf

6

5 10 http://www.waterworks.metro.tokyo.jp/suidojigyo/torikumi/kankyo/pdf/energy_plan.pdf

6 10 http://www.waterworks.metro.tokyo.jp/suidojigyo/torikumi/kankyo/pdf/energy_plan.pdf

e

c Q

: Observed : Average of consumption rate

: Observed

c

P

Q

: P=cQ

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0 1,000 2,000 3,000 4,000 5,000 6,000

ekW

h/m

3

Q m3

: Observed: Average

0

100

200

300

400

500

600

0 1,000 2,000 3,000 4,000 5,000 6,000

PkW

h

Q m3

: Observed: P = c Q

7

[kWh/m3]

[kWh]

c

P=cQ

c

P=cQ P=cQ

e

Q

e

Q

e

c c

Q

PP=cQ

e kWh/m3

P kWh

Q

Q

P

Q

P

8

j =1 j =2

δij δi0 δi1 δi2 δi0 δi1 δi2 δi0 δi1 δi2

0 or 1 1 0 0 0 1 0 0 0 1

Pi

qi L qi Uqi MQi

j =1 j =2 Pi

qi L qi Uqi MQi

j =1 j =2 Pi

qi L qi Uqi MQi

j =1 j =2

9

Pi

qi L qi Uqi M

Pi = ai1 qi1+bi1

Pi = ai2 qi2+bi2

Qij =1 j =2

c

LPy = 0.149x

y = 0.3733x0.9007

0

500

1,000

1,500

2,000

2,500

3,000

0 5,000 10,000 15,000 20,000

P [k

Wh]

Q [m3/hr.]

PA 2

y = 0.0763x - 93.051

:y = 0.1044x - 256.02

y = 0.0016x1.4186LPy = 0.0602x

0

100

200

300

400

500

600

0 2,000 4,000 6,000 8,000 10,000

P[kW

h]

Q[m3/hr.]

R21 2

12

13

Qin 45 ΔQ= +5

Qin 5 ΔQ= +5

50

10

Qout

Qout

14

CAE Computer Aided Engineering

Gurobi Optimizer

AIMMS

Etc. 15

-20kg-10kg

-1.0kg-0.5kg-0.1kg

19

/ /

G Vol.69 No.6 41 _149- _156 2013

/ /

G Vol.68 No.6 40 _273- _281 2012

/ /

G Vol.70 No.6 42 2014

Optimized Operation of Water Distribution System Using Multipurpose Fuzzy LP Model

Arai, Y., Koizumi, A., Masuko, A. & Tamura, S. Water Science & Technology: Water Supply, 13.1, pp.66-73, 2013(Jan)

Arai, Y., Horie, T., Koizumi, A., Inakazu, T., Masuko, A., Tamura, T. & Yamamoto, T. Journal of Water Supply: Research and Technology AQUA, Vol.63 No.2, pp.170-176, 2014(Feb)

Research on minimizing electric power usage in water distribution system

20

H22-H24