Due to the increasing penetration of gas-fired units and power to gas facilities, the electrical power system and natural gas system are more and more bi-directionally coupled. To tackle the challenges on the optimal scheduling operation of an integrated gas and power systems (IGPS), this article focuses on developing a novel approach to build a continuous spatial-temporal optimal operation schedule model. In the light of different time constants of the electrical power and natural gas systems, the continuous spatial-temporal optimal operation schedule model of IGPS is formulated in function space. Additionally, Bernstein polynomials are used to reformulate the continuous spatial-temporal optimization problem of IGPS to mixed-integer linear programming. In the study cases, the simulation results of a simple integrated system and a combined IEEE 39-bus power system and Belgian natural gas network demonstrate the accuracy and effectiveness of the proposed model.

中文翻译：

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连续时间和空间中燃气和电力集成系统的能量流优化

由于燃气单元和电力向燃气设施的渗透不断增加，电力系统和天然气系统越来越多地双向耦合。为了解决集成燃气和电力系统（IGPS）的最佳调度操作方面的挑战，本文着重于开发一种新颖的方法来构建连续的时空最佳作业调度模型。根据电力和天然气系统的不同时间常数，在功能空间中建立了IGPS的连续时空最优运行调度模型。此外，伯恩斯坦多项式用于将IGPS的连续时空优化问题重新表述为混合整数线性规划。在研究案例中，