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Convexification of Head Loss Equation: Application to Water Distribution System Optimizations
The optimization of a water distribution system (WDS) is challenging because of its nonconvex head loss constraint. To address this issue, this paper proposes a modeling technique to represent the nonconvex head loss equation by convex constraints. In the convexification, the head loss equation is first rewritten into nonlinear inequalities, then disjunctive programming is used to represent the flow direction and pipe selection. The technique is applied to formulate a convex mixed-integer nonlinear programming (MINLP) model for WDS design. Effectiveness of the convexification is demonstrated by several benchmark examples.
Convexification of Head Loss Equation: Application to Water Distribution System Optimizations
The optimization of a water distribution system (WDS) is challenging because of its nonconvex head loss constraint. To address this issue, this paper proposes a modeling technique to represent the nonconvex head loss equation by convex constraints. In the convexification, the head loss equation is first rewritten into nonlinear inequalities, then disjunctive programming is used to represent the flow direction and pipe selection. The technique is applied to formulate a convex mixed-integer nonlinear programming (MINLP) model for WDS design. Effectiveness of the convexification is demonstrated by several benchmark examples.
Convexification of Head Loss Equation: Application to Water Distribution System Optimizations
Liang, Yingzong (author) / Hui, Chi Wai (author)
2017-02-03
Article (Journal)
Electronic Resource
Unknown
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