Optimization Online


Mixed-Integer Nonlinear Optimization for District Heating Network Expansion

Marius Roland (roland***at***uni-trier.de)
Martin Schmidt (martin.schmidt***at***uni-trier.de)

Abstract: We present a mixed-integer nonlinear optimization model for computing the optimal expansion of an existing tree-shaped district heating network given a number of potential new consumers. To this end, we state a stationary and nonlinear model of all hydraulic and thermal effects in the pipeline network as well as nonlinear models for consumers and the network's depot. For the former, we consider the Euler momentum and the thermal energy equation. The thermal aspects are especially challenging. Here, we develop a novel, globally smooth approximation that is well suited for optimization. The expansion decisions are modeled by binary variables for which we derive additional valid inequalities that greatly help to solve the highly challenging problem. Finally, we present a case study in which we identify three major aspects that strongly influence investment decisions: the estimated average power demand of potentially new consumers, the distance between the existing network and the new consumers, and thermal losses in the network.

Keywords: District heating networks, Network expansion, Mixed-integer nonlinear optimization

Category 1: Applications -- Science and Engineering

Category 2: Integer Programming ((Mixed) Integer Nonlinear Programming )


Download: [PDF]

Entry Submitted: 04/16/2020
Entry Accepted: 04/16/2020
Entry Last Modified: 04/16/2020

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society