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Due to their slow gas flow dynamics, natural gas pipelines function asshort-term storage, the so-called \textit{linepack}. By efficiently utilizinglinepack, the natural gas system can provide flexibility to the power systemthrough the flexible operation of gas-fired power plants. This requiresaccurately representing the gas flow physics governed by partial differentialequations. Although several modeling and solution choices have been proposed inthe literature, their impact on the flexibility provision of gas networks topower systems has not been thoroughly analyzed and compared. This paper bridgesthis gap by first developing a unified framework. We harmonize existingapproaches and demonstrate their derivation from and application to the partialdifferential equations. Secondly, based on the proposed framework, wenumerically analyze the implications of various modeling and solution choiceson the flexibility provision from gas networks to power systems. One keyconclusion is that relaxation-based approaches allow charging and dischargingthe linepack at physically infeasible high rates, ultimately overestimating theflexibility.

Flexibility of Integrated Power and Gas Systems: Modeling and Solution Choices Matter