Control of tree water networks: A geometric programming approach
Lina Sela, Saurabh Amin

Citation
Lina Sela, Saurabh Amin. "Control of tree water networks: A geometric programming approach". Water Resources Research, 51:8409-8430, September 2016.

Abstract
This paper presents a modeling and operation approach for tree water supply systems. The network control problem is approximated as a geometric programming (GP) problem. The original nonlinear nonconvex network control problem is transformed into a convex optimization problem. The optimization model can be efficiently solved to optimality using state-of-the-art solvers. Two control schemes are presented: (1) operation of network actuators (pumps and valves) and (2) controlled demand shedding allocation between network consumers with limited resources. The dual of the network control problem is formulated and is used to perform sensitivity analysis with respect to hydraulic constraints. The approach is demonstrated on a small branched-topology network and later extended to a medium-size irrigation network. The results demonstrate an intrinsic trade-off between energy costs and demand shedding policy, providing an efficient decision support tool for active management of water systems.

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Citation formats

• HTML

  Lina Sela, Saurabh Amin. <a
  href="http://www.cps-forces.org/pubs/132.html"
  >Control of tree water networks: A geometric programming
  approach</a>, <i>Water Resources
  Research</i>, 51:8409-8430, September 2016.

• Plain text

  Lina Sela, Saurabh Amin. "Control of tree water
  networks: A geometric programming approach".
  <i>Water Resources Research</i>, 51:8409-8430,
  September 2016.

• BibTeX

  @article{SelaAmin16_ControlOfTreeWaterNetworksGeometricProgrammingApproach,
      author = {Lina Sela and Saurabh Amin},
      title = {Control of tree water networks: A geometric
                programming approach},
      journal = {Water Resources Research},
      volume = {51},
      pages = {8409-8430},
      month = {September},
      year = {2016},
      abstract = {This paper presents a modeling and operation
                approach for tree water supply systems. The
                network control problem is approximated as a
                geometric programming (GP) problem. The original
                nonlinear nonconvex network control problem is
                transformed into a convex optimization problem.
                The optimization model can be efficiently solved
                to optimality using state-of-the-art solvers. Two
                control schemes are presented: (1) operation of
                network actuators (pumps and valves) and (2)
                controlled demand shedding allocation between
                network consumers with limited resources. The dual
                of the network control problem is formulated and
                is used to perform sensitivity analysis with
                respect to hydraulic constraints. The approach is
                demonstrated on a small branched-topology network
                and later extended to a medium-size irrigation
                network. The results demonstrate an intrinsic
                trade-off between energy costs and demand shedding
                policy, providing an efficient decision support
                tool for active management of water systems.},
      URL = {http://cps-forces.org/pubs/132.html}
  }
  

Posted by Saurabh Amin on 15 Apr 2016.
Groups: forces
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