论文标题
多面积集成电气和气体系统最佳流量问题的近似解决方案
Approximate solutions to the optimal flow problem of multi-area integrated electrical and gas systems
论文作者
论文摘要
我们通过近似具有零件仿射功能的非线性气体流，从而形成了多区域集成电气和气体系统中最佳流动问题，作为混合企业优化问题，从而导致一组混合构成线性约束。为了解决该解决方案，我们提出了一种新型算法，该算法是解决共染色问题的一个阶段和回收混合溶液的第二阶段。后者利用气流模型，需要解决线性程序。我们为计算解决方案提供了最佳证书，并通过数值模拟与最新方法相比，显示了算法的优势。
We formulate the optimal flow problem in a multi-area integrated electrical and gas system as a mixed-integer optimization problem by approximating the non-linear gas flows with piece-wise affine functions, thus resulting in a set of mixed-integer linear constraints. For its solution, we propose a novel algorithm that consists in one stage for solving a convexified problem and a second stage for recovering a mixed-integer solution. The latter exploits the gas flow model and requires solving a linear program. We provide an optimality certificate for the computed solution and show the advantages of our algorithm compared with respect to the state-of-the-art method via numerical simulations.
