This letter proposed a novel convex optimization model, whose optimal solution is proved to be the precise solution of the natural gas flow equations. Furthermore, a linear program is employed to tightly linearize the nonlinear parts and a corollary is given to check the feasibility. Numerical results show the effectiveness of the proposed method.
Ding, T., Xu, Y., Yang, Y., Li, Z., Zhang, X., & Blåbjerg, F. (2019). A Tight Linear Program for Feasibility Check and Solutions to Natural Gas Flow Equations. I E E E Transactions on Power Systems, 34(3), 2441-2444. . https://doi.org/10.1109/TPWRS.2019.2895568