Optimal Design of Multi-Purpose Reservoir System to Meet Water - - PowerPoint PPT Presentation

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Optimal Design of Multi-Purpose Reservoir System to Meet Water - - PowerPoint PPT Presentation

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Optimal Design of Multi-Purpose Reservoir System to Meet Water Demands in Townsville Michael V. Sarunn Supervisor: Dr. Bithin Datta 12-9-2017 Discipline of Civil Engineering 1 16% 2 1 2 Haughton pipeline duplication Hells Gate Dam.

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Optimal Design of Multi-Purpose Reservoir System to Meet Water Demands in Townsville

Michael V. Sarunn Supervisor: Dr. Bithin Datta Discipline of Civil Engineering

12-9-2017

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16%

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SOLUTIONS

Haughton pipeline duplication

  • scheduled to begin in 2019

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Hells Gate Dam.

  • A feasibility is being done

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HELLS GATE

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MULTIPURPOSE RESERVOIR

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CAPITAL AND RECURRING COST

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Duplication Pipeline

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OPTIMISATION

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Non-Dominated Sorting Genetic Algorithm-II (NSGAII)

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CUMULATIVE PROBABILITY – 50 YRS DATA

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Inflow = [18, 19, 22.5, 3.8, 2, 1.7, 1.7, 1.5, 0.93, 0.58, 4, 27.8]; total = 103.5 GL; 10% cumulative probability Inflow = [56.3, 74, 70, 9.6, 7.3, 6, 3.8, 2.5, 1.6, 1.83, 4, 17.6]; total = 254.5 GL; 30% cumulative probability 10% means 5 times in 50 years, the inflow <= 103.5 GL 30% means 15 times in 50 years, the inflow <= 254.5 GL

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OPTIMISATION MODELS

 F1 = minimise Capacity  F2 = minimise Deviation = 𝑢=1

12 (𝑆(𝑢) − 𝐸(𝑢))2

 F1 = minimise Capacity  F2 = - Maximise power = 𝑢=1

12 𝐹 𝑇 ∗𝑆(𝑢)∗9.81∗1000 86400∗730

[Mw]

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CONSTRAINTS

 Capacity >= storage  𝑇𝑢+1 = 𝑇𝑢 + [𝐽𝑢 − (𝑆(𝑢)+ 𝐹𝑤𝑏𝑞𝑀𝑝𝑡𝑡𝑢)]

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Capacity Release (12 months) X(1) X(2) X(3) X(4) X(5) X(6) X(7) X(8) X(9) X(10) X(11) X(12) X(13) Storage (12 months) X(14) X(15) X(16) X(17) X(18) X(19) X(20) X(21) X(22) X(23) X(24) X(25) Power (12 months) X(26) X(27) X(28) X(29) X(30) X(31) X(32) X(33) X(34) X(35) X(36) X(37)

Solving for 25 to 37 unknowns

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Optimisation Model 1

10% Cumulative Probability, 10% Initial Storage

Total Avg Demand 30.6 24.5 26.4 24.4 20.7 19 19.3 23 27.4 33.2 32.9 33.7 315.1 26.3 Release 25.0 22.1 21.5 22.1 20.5 18.4 20.3 20.7 21.1 24.3 23.9 25.8 265.8 22.1 Differenc e

  • 5.6
  • 2.4
  • 4.9
  • 2.3
  • 0.2
  • 0.6

1.0

  • 2.3
  • 6.3
  • 8.9
  • 9.0
  • 7.9
  • 49.34
  • 4.1
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Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Total Demand (GL) 30.6 24.5 26.4 24.4 20.7 19 19.3 23 27.4 33.2 32.9 33.7 315.1 Release (GL) 30.7 24.6 26.4 24.5 20.8 19.0 19.3 23.1 27.4 33.3 32.9 33.8 315.8 Difference (GL) 0.07 0.05 0.02 0.06 0.14 0.05 0.04 0.08 0.03 0.07 0.04 0.05 0.7

30% Cumulative Probability, 50% Initial Storage

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POWER VS CAPACITY

MODEL 2

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Optimisation Model 2

10% cumulative probability

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30% cumulative probability, 50% initial storage

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Total Demand (GL) 30.6 24.5 26.4 24.4 20.7 19 19.3 23 27.4 33.2 32.9 33.7 315.1 Release (GL) 28.31 27.66 28.55 25.18 28.99 26.93 25.09 22.70 26.52 26.77 28.04 25.88 320.6 Difference

  • 2.3

3.2 2.2 0.8 8.3 7.9 5.8

  • 0.3
  • 0.9
  • 6.4
  • 4.9
  • 7.8

5.5

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MONTHLY RELEASES FOR POWER

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Capacity Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Total 274.0 27.2 25.4 28.0 24.0 29.2 26.6 23.4 20.4 27.1 27.6 26.7 24.9 310.4 273.8 26.7 27.9 29.4 24.7 28.5 26.7 24.5 22.0 25.8 24.9 25.9 24.5 311.5 277.0 29.6 27.1 29.7 25.3 29.4 25.8 25.3 21.5 26.1 26.5 28.0 27.4 321.8 274.0 28.0 28.4 27.3 24.8 28.4 27.5 23.7 23.2 27.4 26.5 28.3 24.4 318.1 275.3 28.2 27.5 28.8 25.8 30.0 26.3 24.5 23.0 26.3 27.6 28.4 26.3 322.8 283.9 28.5 28.4 29.2 25.3 29.8 25.9 25.4 22.3 26.3 28.4 30.1 26.5 326.2 273.7 27.8 27.7 28.3 24.2 28.0 27.4 23.9 20.7 25.2 25.9 26.5 24.7 310.2 276.0 30.2 28.5 27.4 24.7 29.9 28.9 26.0 22.7 26.1 27.5 27.3 26.6 325.8 275.3 27.1 27.1 28.5 25.4 27.9 27.6 25.7 22.1 25.9 26.8 27.2 24.7 315.9 274.5 28.2 27.7 29.2 24.2 29.3 27.2 24.9 22.7 25.3 26.3 28.0 26.5 319.5 275.3 26.8 26.5 29.8 25.3 29.1 27.5 24.8 20.9 27.8 25.9 26.7 26.2 317.5 278.0 28.3 28.0 28.7 25.3 28.3 26.6 25.2 22.6 26.7 27.6 30.0 26.7 324.0 280.9 30.1 28.2 27.7 26.9 29.3 26.3 26.6 26.3 27.7 27.5 28.6 25.9 331.1 274.4 27.1 26.9 28.0 25.1 28.3 26.2 25.1 24.6 27.4 24.8 27.6 24.8 315.9 276.15 28.14 27.52 28.57 25.07 28.97 26.89 24.94 22.50 26.51 26.70 27.81 25.72 319.3 276.15 28.14 27.52 28.57 25.07 28.97 26.89 24.94 22.50 26.51 26.70 27.81 25.72 319.34

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CONCLUSION

  • RESERVOIRS SERVE MANY PURPOSES.
  • MUCH TO BE GAINED FROM THE CONSTRUCTION OF THE DAM
  • GENETIC ALGORITHM (NSGA-II) CAN BE USED TO DETERMINE RELEASE POLICIES
  • THE MODEL SHOWS THAT:
  • 1. CAPACITY OF THE DAM RANGE FROM 200 - 280 GL WITH 70% PROBABILITY

OF EXCEEDING THIS AMOUNT

  • 2. WITH 30% CUMULATIVE PROBABILITY
  • HYDRO-ELECTRIC POWER VARIES BETWEEN 15 - 29 MW PA.

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TOWNSVILLE WATER DEMAND

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2016 2036 Townsville Population 199358 288593 Growth Rate 1.96% 1.72% Annual Demand Projections (ML) 60000 86857 Daily Demand (ML) 164.4 238.0