Optimization of Interconnected Natural Gas and Power Systems Using Mathematical Programs with Complementarity Constraints

The demand for thermal power generation from natural gas has increased globally due to its cleaner burning properties compared to other fossil fuels. Optimizing the gas flow through the network to meet this demand is challenging due to the nonconvex Weymouth equation constraining gas flow and nodal...

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Vydáno v:Mathematics (Basel) Ročník 12; číslo 14; s. 2224
Hlavní autoři: Blanco-Martínez, Cristian Alejandro, Álvarez-Meza, Andrés Marino, Castellanos-Dominguez, Germán, Cárdenas-Peña, David Augusto, Orozco-Gutiérrez, Álvaro Angel
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.07.2024
Témata:
Accuracy
Approximation
Buses
Constraints
Continuity (mathematics)
Costs
Dry season
End users
Energy consumption
Errors
Gas flow
Gas pipelines
Integer programming
integrated electric–gas system
Linear programming
Mathematical analysis
Mathematical programming
Mixed integer
Natural gas
optimal gas flow
Optimization
Optimization techniques
Pipe cleaning
Weymouth equation
ISSN:2227-7390, 2227-7390
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Shrnutí:The demand for thermal power generation from natural gas has increased globally due to its cleaner burning properties compared to other fossil fuels. Optimizing the gas flow through the network to meet this demand is challenging due to the nonconvex Weymouth equation constraining gas flow and nodal pressures in pipelines. Traditional methods for addressing this nonconvexity lead to significant approximation errors or high operational costs. This study poses the Weymouth constraint as a Mathematical Programming with Complementarity Constraints (MPCC) for an optimal gas flow problem. The complementarity constraints reformulate the discontinuous sign function using binary-behaving continuous variables. This MPCC-based approach avoids solving mixed-integer programming problems while enhancing the accuracy of conventional linear and second-order approximations. Testing the approach on various interconnected systems, including Colombia’s national gas transportation grid, demonstrated significant reductions in Weymouth approximation errors, thereby supporting effective optimization for interconnected networks.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math12142224