论文标题

最佳控制管道网络中瞬时流的最佳控制氢和天然气混合物

Optimal Control of Transient Flows in Pipeline Networks with Heterogeneous Mixtures of Hydrogen and Natural Gas

论文作者

Baker, Luke, Kazi, Saif R., Platte, Rodrigo B., Zlotnik, Anatoly

论文摘要

我们为高度异质气体的混合物通过大规模管道网络的分布式流动制定了控制系统模型,并以时间变化的组成部分,提款和压缩机的控制作用进行了变化。这项研究是由将清洁氢融入天然气管道中的拟议将最终用途的临时含量混合在一起的动机,同时利用现有的基础设施来减少碳排放量。我们将管道上气体动力学的部分微分方程重新制定,并使用集体元素与稀疏的非线性差分代数方程式在交界处进行平衡。我们的关键进步是在整个网络中对成分的混合进行建模,这需要使单个气体所需的状态空间增加一倍,并增加数值不良的条件。还原模型被证明是原始系统的一致近似值,我们将其用作模型预测性的最佳控制问题中的动态约束,以最大程度地限量使用时间变化的压缩机工作配置文件来确保遇到时间变化的交付配置文件。使用非线性程序在时间离散化后实现了最佳控制问题,并验证了使用瞬态仿真完成的结果。我们演示了小型测试网络的方法,并讨论可伸缩性和潜在应用。

We formulate a control system model for the distributed flow of mixtures of highly heterogeneous gases through large-scale pipeline networks with time-varying injections of constituents, withdrawals, and control actions of compressors. This study is motivated by the proposed blending of clean hydrogen into natural gas pipelines as an interim means to reducing end use carbon emissions while utilizing existing infrastructure for its planned lifetime. We reformulate the partial differential equations for gas dynamics on pipelines and balance conditions at junctions using lumped elements to a sparse nonlinear differential algebraic equation system. Our key advance is modeling the mixing of constituents in time throughout the network, which requires doubling the state space needed for a single gas and increases numerical ill-conditioning. The reduced model is shown to be a consistent approximation of the original system, which we use as the dynamic constraints in a model-predictive optimal control problem for minimizing the energy expended by applying time-varying compressor operating profiles to guarantee time-varying delivery profiles subject to system pressure limits. The optimal control problem is implemented after time discretization using a nonlinear program, with validation of the results done using a transient simulation. We demonstrate the methodology for a small test network, and discuss scalability and potential applications.

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