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Emission-Aware Optimization of Gas Networks: Input-Convex Neural Network Approach

arXiv 2209.08645 ↗First posted 18 Sep 2022cs.LG math.OCcited by 0

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Abstract (arXiv)

Gas network planning optimization under emission constraints prioritizes gas supply with the least CO2 intensity. As this problem includes complex physical laws of gas flow, standard optimization solvers cannot guarantee convergence to a feasible solution. To address this issue, we develop an input-convex neural network (ICNN) aided optimization routine which incorporates a set of trained ICNNs approximating the gas flow equations with high precision. Numerical tests on the Belgium gas network demonstrate that the ICNN-aided optimization dominates non-convex and relaxation-based solvers, with larger optimality gains pertaining to stricter emission targets. Moreover, whenever the non-convex solver fails, the ICNN-aided optimization provides a feasible solution to network planning.

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References · 15

  1. 2021Convex optimizationcited by 2,479
  2. 2016Input Convex Neural Networkscited by 407
  3. 2018Training for Faster Adversarial Robustness Verification via Inducing ReLU Stabilitycited by 67
  4. 2019ReLU Networks as Surrogate Models in Mixed-Integer Linear Programscited by 33
  5. 2020Physics-Guided Deep Neural Networks for Power Flow Analysiscited by 32
  6. 2021Modeling the AC Power Flow Equations with Optimally Compact Neural Networks: Application to Unit Commitmentcited by 17
  7. 2020Neural Networks for Encoding Dynamic Security-Constrained Optimal Power Flowcited by 15
  8. 2018State and Parameter Estimation for Natural Gas Pipeline Networks using Transient State Datacited by 1
  9. 2018An Integrated Market for Electricity and Natural Gas Systems with Stochastic Power Producerscited by 1
  10. 2018Natural Gas Flow Equations: Uniqueness and an MI-SOCP Solvercited by 1
  11. 2019Natural Gas Flow Solvers using Convex Relaxationcited by 1
  12. 2020Decreasing market value of variable renewables can be avoided by policy actioncited by 1
3 more
  1. 2020An Uncertainty Management Framework for Integrated Gas-Electric Energy Systemscited by 1
  2. 2020Stochastic Control and Pricing for Natural Gas Networkscited by 1
  3. 2021Multi-Stage Linear Decision Rules for Stochastic Control of Natural Gas Networks with Linepackcited by 1

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