Optimal gas-power flow (OGPF) is one of the most fundamental problems for the operation of integrated electric-gas systems (IEGSs), where the gas flow dynamics partial differential equations (PDEs) are computational challenging. This paper aims to propose a lightweight and accurate model for gas flow dynamics for the OGPF problem. Firstly, the second-order hyperbolic PDEs are equivalently derived based on the original PDEs. Then, the second-order hyperbolic PDEs are discretized using the tri-layer explicit difference scheme. Given some mild boundary and initial conditions, the time-domain two-port model for gas flow dynamics is established, where the state variables of the in-between segments of the pipeline are eliminated. Finally, the iterative parameter updating procedure is devised to improve the modeling accuracy. The lightweight feature of the proposed gas flow dynamics model is verified by the simulation results of several test systems.

中文翻译：

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利用轻量级气体流动动力学进行最佳气体动力流计算


最佳气体功率流 (OGPF) 是集成电气体系统 (IEGS) 运行的最基本问题之一，其中气体流动动力学偏微分方程 (PDE) 具有计算挑战性。本文旨在针对 OGPF 问题提出一种轻量级且精确的气体流动动力学模型。首先，在原始偏微分方程的基础上等价推导二阶双曲偏微分方程。然后，使用三层显式差分格式对二阶双曲偏微分方程进行离散化。给定一些温和的边界和初始条件，建立了气体流动动力学的时域二端口模型，其中消除了管道中间段的状态变量。最后，设计了迭代参数更新程序以提高建模精度。多个测试系统的仿真结果验证了所提出的气流动力学模型的轻量化特征。