Conic Optimal Energy Flow of Integrated Electricity and Natural Gas Systems

In this letter, we propose a market-based bi-level conic optimal energy flow（OEF） model of integrated electricity and natural gas systems（IENGSs）. Conic alternating current optimal power flow（ACOPF） is formulated in the upper-level model, and the generation cost of natural gas fired generation units（NGFGUs） is calculated based on natural gas locational marginal prices（NG-LMPs）. The market clearing process of natural gas system is modeled in the lower-level model. The bilevel model is then transferred into a mixed-integer second-order cone programming（MISOCP） problem. Simulation results demonstrate the effectiveness of the proposed conic OEF model.