The Gas Transmission Problem Solved by an Extension of the Simplex Algorithm

By Daniel De Wolf, Yves Smeers. 2000

488 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/0fdc8bccdab5e4650694b6ef7c2138443981006a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

Security-constrained bi-level economic dispatch model for integrated natural gas and electricity systems considering wind power and power-to-gas process (2017, methodology): “In this section, case studies on the PJM 5-bus power system [28] with 7-node gas system [7] and the IEEE 118-bus power system [29] with Belgian natural gas network [10] are applied to demonstrate the effectiveness of the proposed bi-level ED model.”
Strategic Offering and Equilibrium in Coupled Gas and Electricity Markets (2016, methodology): “we adopt the simplified compressor model in [21].”
Convex Optimization Based Distributed Optimal Gas-Power Flow Calculation (2018, background): “, the in-flow and out-flow of each pipeline are equal [12], [13], [15], [16].”
Gas Network Optimization: A comparison of Piecewise Linear Models (2014, background): “…and 1 storage.392 • Case 2 (from Li et al. (2003)): 14 nodes, 12 pipelines, 1 source, 5 loads393 and 4 compressors.394 • Case 3 (Belgian network from De Wolf and Smeers (2000)): 20 nodes, 24395 pipelines, 2 sources, 8 loads, 3 compressors and 4 storages.396 All system data are available online…”
On PDE solution in transient optimization of gas networks (2007, methodology): “More recently, an extended simplex method was developed for a quasi-stationary model [9].”
High detail stationary optimization models for gas networks (2014, unknown): “One branch employs piecewise linear approximations to obtain mixed-integer linear programs (MILP) [49, 56, 57, 15, 28, 41, 43, 42].”
Interdependency of Natural Gas Network and Power System Security (2008, background): “As shown in [21] and [22], the distribution of gas through a network of pipelines was formulated for representing the nonlinear relationship between gas flow and gas pressure.”
Robust Defense Strategy for Gas–Electric Systems Against Malicious Attacks (2016, methodology): “we adopt the simplified compressor model in [21], for detailed modeling of the compressor, please refer to [2]; iv.”