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

Cristian Alejandro Blanco-Martínez (), Andrés Marino Álvarez-Meza, Germán Castellanos-Dominguez, David Augusto Cárdenas-Peña and Álvaro Angel Orozco-Gutiérrez
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Cristian Alejandro Blanco-Martínez: Automatics Research Group, Universidad Tecnológica de Pereira (UTP), Pereira 660003, Colombia
Andrés Marino Álvarez-Meza: Signal Processing and Recognition Group, Universidad Nacional de Colombia, Manizales 170003, Colombia
Germán Castellanos-Dominguez: Signal Processing and Recognition Group, Universidad Nacional de Colombia, Manizales 170003, Colombia
David Augusto Cárdenas-Peña: Automatics Research Group, Universidad Tecnológica de Pereira (UTP), Pereira 660003, Colombia
Álvaro Angel Orozco-Gutiérrez: Automatics Research Group, Universidad Tecnológica de Pereira (UTP), Pereira 660003, Colombia

Mathematics, 2024, vol. 12, issue 14, 1-15

Abstract: 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.

Keywords: integrated electric–gas system; Weymouth equation; optimal gas flow (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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