A Two-Stage Approach for a Mixed-Integer Economic Dispatch Game in Integrated Electrical and Gas Distribution Systems

Ananduta, W.; Grammatico, S.

doi:10.1109/TCST.2023.3304928

A Two-Stage Approach for a Mixed-Integer Economic Dispatch Game in Integrated Electrical and Gas Distribution Systems

Journal article (2024)

Authors

W. Ananduta Team Sergio Grammatico - Mechanical, Maritime and Materials Engineering

S. Grammatico Team Sergio Grammatico - Mechanical, Maritime and Materials Engineering ,

Research Group

Team Sergio Grammatico (Mechanical, Maritime and Materials Engineering) (TU Delft)

DOI: https://doi.org/10.1109/TCST.2023.3304928

Cost function Games Costs Aggregates Generators Computational modeling Mathematical models Economic dispatch Generalized mixed-integer games Integrated electrical and gas systems (IEGSs)

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Published Date

2024

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Sergio Grammatico

Abstract

We formulate for the first time the economic dispatch problem among prosumers in an integrated electrical and gas distribution system (IEGDS) as a game equilibrium problem. Specifically, by approximating the nonlinear gas-flow equations either with a mixed-integer second-order cone (MISOC) or a piecewise affine (PWA) model and by assuming that electricity and gas prices depend linearly on the total consumption, we obtain a potential mixed-integer game. To compute an approximate generalized Nash equilibrium (GNE), we propose an iterative two-stage method that exploits a problem convexification and the gas-flow models. We quantify the quality of the computed solution and perform a numerical study to evaluate the performance of our method.

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