The precise fluid and gas energy flow equations (FEFEs) are difficult to formulate due to the uncertain parameters. This paper proposes a data-driven approach to fit the FEFEs by polynomial functions through experimental data. Furthermore, a convex optimization model is set up to find the solution of the FEFEs, and a tight reformulation is proposed to exactly reformulate the proposed model as a second-order cone programming (SOCP) that can be tractably solved. Numerical results on several test systems show the effectiveness of the proposed method.

中文翻译：

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具有紧密重构的数据驱动流体和气体能量流的二阶锥规划

由于参数不确定，因此很难公式化精确的流体和气体能流方程（FEFE）。本文提出了一种数据驱动的方法，通过实验数据通过多项式函数拟合FEFE。此外，建立了凸优化模型以找到FEFE的解，并提出了严格的重新公式化以将所提出的模型准确地重新公式化为可以解决的二次锥编程（SOCP）。在几个测试系统上的数值结果表明了该方法的有效性。