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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…

Optimization and Control · Mathematics 2023-05-23 Luke Baker , Saif R. Kazi , Rodrigo B. Platte , Anatoly Zlotnik

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…

Optimization and Control · Mathematics 2022-12-05 Saif R. Kazi , Kaarthik Sundar , Shriram Srinivasan , Anatoly Zlotnik

We present a dynamic model for the optimal control problem (OCP) of hydrogen blending into natural gas pipeline networks subject to inequality constraints. The dynamic model is derived using the first principles partial differential…

Optimization and Control · Mathematics 2024-02-27 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…

Dynamical Systems · Mathematics 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,…

Optimization and Control · Mathematics 2019-12-09 Anatoly Zlotnik , Kaarthik Sundar , Aleksandr M. Rudkevich , Aleksandr Beylin , Xindi Li

We propose an optimization formulation for locational pricing of energy transported through a pipeline network that carries mixtures of natural gas and hydrogen from distributed sources to consumers. The objective includes the economic…

Optimization and Control · Mathematics 2024-05-20 Mo Sodwatana , Saif R. Kazi , Kaarthik Sundar , Adam Brandt , Anatoly Zlotnik

Natural gas ranks second in consumption among primary energy sources in the United States. The majority of production sites are in remote locations, hence natural gas needs to be transported through a pipeline network equipped with a…

Optimization and Control · Mathematics 2023-08-28 Sai Krishna Kanth Hari , Kaarthik Sundar , Shriram Srinivasan , Russell Bent

The current energy transition promotes the convergence of operation between the power and natural gas systems. In that direction, it becomes paramount to improve the modeling of non-convex natural gas flow dynamics within the coordinated…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Adriano Arrigo , Mihály Dolányi , Kenneth Bruninx , Jean-François Toubeau

This work presents a novel, dimensionless model that results in a dimensionless algebraic equation that can be used to quantify the pressure drop associated with the steady state, isothermal flow through a straight, horizontal pipeline, of…

Fluid Dynamics · Physics 2024-10-29 Jeremy Conner , Vasilios I. Manousiouthakis

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…

Systems and Control · Electrical Eng. & Systems 2019-12-13 Kaarthik Sundar , Anatoly Zlotnik

We prove an existence result for the steady state flow of gas mixtures on networks. The basis of the model are the physical principles of the isothermal Euler equation, coupling conditions for the flow and pressure, and the mixing of…

Analysis of PDEs · Mathematics 2024-11-07 Alena Ulke , Michael Schuster , Simone Göttlich

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…

Dynamical Systems · Mathematics 2023-07-25 Luke S. Baker , Saif R. Kazi , Anatoly Zlotnik

The growing coupling among electricity, gas, and hydrogen systems is driven by green hydrogen blending into existing natural gas pipelines, paving the way toward a renewable-dominated energy future. However, the integration poses…

Systems and Control · Electrical Eng. & Systems 2025-10-23 Wenxin Liu , Jiakun Fang , Shichang Cui , Zhiyao Zhong , Iskandar Abdullaev , Suyang Zhou , Xiaomeng Ai , Jinyu Wen

An increasing amount of gas-fired power plants are currently being installed in modern power grids worldwide. This is due to their low cost and the inherent flexibility offered to the electrical network, particularly in the face of…

Computational Engineering, Finance, and Science · Computer Science 2018-04-26 Conor O'Malley , Drosos Kourounis , Gabriela Hug , Olaf Schenk

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…

Optimization and Control · Mathematics 2015-11-25 Terrence W. K. Mak , Pascal Van Hentenryck , Anatoly Zlotnik , Hassan Hijazi , Russell Bent

Gas network planning optimization under emission constraints prioritizes gas supply with the least CO$_2$ intensity. As this problem includes complex physical laws of gas flow, standard optimization solvers cannot guarantee convergence to a…

Machine Learning · Computer Science 2022-09-20 Vladimir Dvorkin , Samuel Chevalier , Spyros Chatzivasileiadis

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…

Optimization and Control · Mathematics 2021-05-06 Sai Krishna Kanth Hari , Kaarthik Sundar , Shriram Srinivasan , Anatoly Zlotnik , Russell Bent

With the transition towards a decarbonized society, energy system integration is becoming ever more essential. In this transition, the energy vector hydrogen is expected to play a key role as it can be produced from (renewable) power and…

Optimization and Control · Mathematics 2023-05-04 T. Klatzer , U. Bachhiesl , S. Wogrin , A. Tomasgard

As a common practice, the direction of natural gas flow in every pipeline is determined ex-ante for simplification purposes, and treated as a given parameter within the scheduling problem. However, in integrated gas and electric power…

Optimization and Control · Mathematics 2022-04-26 Junesoo Shin , Yannick Werner , Jalal Kazempour

Optimization is widely used to determine the physical and financial exchange of wholesale electricity in organized markets. Guarantees of solution optimality and feasibility rest largely on convexity, which is not in general a…

Optimization and Control · Mathematics 2026-05-22 Sidhant Misra , Marc Vuffray , Anatoly Zlotnik , Aleksandr M. Rudkevich
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