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相关论文: Dynamic Optimization and Optimal Control of Hydrog…

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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…

最优化与控制 · 数学 2023-05-23 Luke Baker , Saif R. Kazi , Rodrigo B. Platte , Anatoly Zlotnik

The blending of hydrogen generated using clean energy into natural gas pipeline networks is proposed in order to utilize existing energy systems for their planned lifetimes while reducing their reliance on fossil fuels. We formulate a…

动力系统 · 数学 2023-07-25 Luke S. Baker , Saif R. Kazi , Anatoly Zlotnik

We present an economic optimization problem for allocating the flow of natural gas and hydrogen blends through a large-scale transportation pipeline network. Physical flow of the gas mixture is modeled using a steady-state relation between…

最优化与控制 · 数学 2023-05-23 Mo Sodwatana , Saif R. Kazi , Kaarthik Sundar , Anatoly Zlotnik

We develop an explicit second order staggered finite difference discretization scheme for simulating the transport of highly heterogeneous gas mixtures through pipeline networks. This study is motivated by the proposed blending of hydrogen…

动力系统 · 数学 2024-04-09 Yan Brodskyi , Vitaliy Gyrya , Anatoly Zlotnik

We formulate an economic optimal control problem for transport of natural gas over a large-scale transmission pipeline network under transient flow conditions. The objective is to maximize economic welfare for users of the pipeline system,…

最优化与控制 · 数学 2019-12-09 Anatoly Zlotnik , Kaarthik Sundar , Aleksandr M. Rudkevich , Aleksandr Beylin , Xindi Li

We outline a new control system model for the distributed dynamics of compressible gas flow through large-scale pipeline networks with time-varying injections, withdrawals, and control actions of compressors and regulators. The gas dynamics…

最优化与控制 · 数学 2015-09-15 Anatoly Zlotnik , Michael Chertkov , Scott Backhaus

We extend the canonical problems of simulation and optimization of steady-state gas flows in pipeline networks with compressors to the transport of mixtures of highly heterogeneous gases injected throughout a network. Our study is motivated…

最优化与控制 · 数学 2022-12-05 Saif R. Kazi , Kaarthik Sundar , Shriram Srinivasan , Anatoly Zlotnik

We formulate a nonlinear optimal control problem for intra-day operation of a natural gas pipeline network that includes storage reservoirs. The dynamics of compressible gas flow through pipes, compressors, reservoirs, and wells are…

We present a method for joint state and parameter estimation for natural gas networks where gas pressures and flows through a network of pipes depend on time-varying injections, withdrawals, and compression controls. The estimation is posed…

系统与控制 · 电气工程与系统科学 2019-12-13 Kaarthik Sundar , Anatoly Zlotnik

We develop a complementarity-constrained nonlinear optimization model for the time-dependent control of district heating networks. The main physical aspects of water and heat flow in these networks are governed by nonlinear and hyperbolic…

最优化与控制 · 数学 2020-04-22 Richard Krug , Volker Mehrmann , Martin Schmidt

Optimal control for switch-based dynamical systems is a challenging problem in the process control literature. In this study, we model these systems as hybrid dynamical systems with finite number of unknown switching points and reformulate…

最优化与控制 · 数学 2025-05-28 Saif R. Kazi , Kexin Wang , Lorenz T. Biegler

Optimizing the transient control of gas networks is a highly challenging task. The corresponding model incorporates the combinatorial complexity of determining the settings for the many active elements as well as the non-linear and…

最优化与控制 · 数学 2022-06-14 Felix Hennings , Kai Hoppmann-Baum , Janina Zittel

We propose a predictor-corrector adaptive method for the simulation of hyperbolic partial differential equations (PDEs) on networks under general uncertainty in parameters, initial conditions, or boundary conditions. The approach is based…

数值分析 · 数学 2024-03-26 Jake J. Harmon , Svetlana Tokareva , Anatoly Zlotnik

This study focuses on using direct methods (first-discretize-then-optimize) to solve optimal control problems for a class of nonsmooth dynamical systems governed by differential variational inequalities (DVI), called optimal control…

最优化与控制 · 数学 2025-12-04 Kangyu Lin , Toshiyuki Ohtsuka

Control of water distribution networks (WDNs) can be represented by an optimization problem with hydraulic models describing the nonlinear relationship between head loss, water flow, and demand. The problem is difficult to solve due to the…

最优化与控制 · 数学 2019-02-19 Shen Wang , Ahmad F. Taha , Nikolaos Gatsis , Marcio Giacomoni

We present a combination technique based on mixed differences of both spatial approximations and quadrature formulae for the stochastic variables to solve efficiently a class of Optimal Control Problems (OCPs) constrained by random partial…

数值分析 · 数学 2024-03-29 Fabio Nobile , Tommaso Vanzan

With more energy networks being interconnected to form integrated energy systems (IESs), the optimal energy flow (OEF) problem has drawn increasing attention. Extant studies on OEF models mostly utilize the finite difference method (FDM) to…

系统与控制 · 电气工程与系统科学 2022-09-07 Binbin Chen , Wenchuan Wu , Qinglai Guo , Hongbin Sun

Optimal control problems naturally arise in many scientific applications where one wishes to steer a dynamical system from a certain initial state $\mathbf{x}_0$ to a desired target state $\mathbf{x}^*$ in finite time $T$. Recent advances…

机器学习 · 计算机科学 2022-09-20 Lucas Böttcher , Thomas Asikis

The growing reliance of electric power systems on gas-fired generation to balance intermittent sources of renewable energy has increased the variation and volume of flows through natural gas transmission pipelines. Adapting pipeline…

最优化与控制 · 数学 2015-11-25 Terrence W. K. Mak , Pascal Van Hentenryck , Anatoly Zlotnik , Hassan Hijazi , Russell Bent

We consider an abstract framework for the numerical solution of optimal control problems (OCPs) subject to partial differential equations (PDEs). Examples include not only the distributed control of elliptic PDEs such as the Poisson…

数值分析 · 数学 2025-05-27 Ulrich Langer , Richard Löscher , Olaf Steinbach , Huidong Yang
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