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In this paper, the combined natural gas and electric optimal power flow (GEOPF) problem is presented. It shows fundamental modeling of the natural gas network to be used for the GEOPF, and describes the equality constraints, which describe the energy transformation between gas and electric networks at combined nodes (i.e., generators). We also present the formulation of the natural gas load flow problem, which includes the amount of gas consumed in compressor stations. Case studies are presented to show the sensitivity of the real power generation to wellhead gas prices. Results from the simulation demonstrate that the GEOPF can provide social welfare maximizing solutions considering both gas and electric networks.
An et al. (2004) studied this question.