天然气动态短期调度问题的秩最小化方法
Natural Gas Short-Term Operation Problem with Dynamics: A Rank Minimization Approach
摘要：
天然气发电机组可以对冲不确定的可再生能源发电的波动，这种波动可能在很短的时间内发生。关键是利用能够正确捕捉天然气网络动态引起的燃气机组的波动性需求的模型。在文献中通常采用Weymouth方程，以避免处理求解天然气动力学原始控制微分方程的数学复杂性。然而，它是在本文中表明，这种方法是不可靠的，在短期的操作问题。文中比较了非凸暂态模型与简化的Weymouth方程的优点，并指出了采用Weymouth方程的缺点。结果表明，天然气需求的变化是如何通过调整管道内的压力，而不是天然气供应商的输出。针对天然气流动方程组的非线性、非凸动力学问题，提出了一种凸松弛格式，并利用秩最小化方法保证了其紧性。该方法提供了一个计算效率高的框架，可以准确地解决非凸非线性气体操作问题，并准确地捕捉其动态。此外，结果表明，该模型的解决方案的最优性和解决方案的时间相比，原来的非线性非凸模型。最后，通过实例验证了该方法的可扩展性.
英文摘要：
Natural gas-fired generation units can hedge against the volatility in the uncertain renewable generation, which may occur during very short periods. It is crucial to utilize models capable of correctly capturing the natural gas network dynamics induced by the volatile demand of gas-fired units. The Weymouth equation is commonly implemented in literature to avoid dealing with the mathematical complications of solving the original governing differential equations of the natural gas dynamics. However, it is shown in this paper that this approach is not reliable in the short-term operation problem. Here, the merit of the non-convex transient model is compared with the simplified Weymouth equation, and the drawbacks of employing the Weymouth equation are illustrated. The results demonstrate how changes in the natural gas demand are met by adjustment in the pressure within pipelines rather than the output of natural gas suppliers. This work presents a convex relaxation scheme for the original non-linear and non-convex natural gas flow equations with dynamics, utilizing a rank minimization approach to ensure the tightness. The proposed method renders a computationally efficient framework that can accurately solve the non-convex non-linear gas operation problem and accurately capture its dynamics. Also, the results suggest that the proposed model improves the solution optimality and solution time compared to the original non-linear non-convex model. Finally, the scalability of the proposed approach is verified in the case study.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
