Water and Hydrogen Flow in Networks: Modelling and Numerical Solution by ROW Methods

Steinebach, Gerd; Dreistadt, David Michael

doi:10.1007/978-3-030-76810-2_2

Cited by 2 publications

(2 citation statements)

References 21 publications

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“…The new method shall be used in network simulation, see [26]. Therefore we finally simulate a small electric network consisting of a photovoltaic (PV) element, a battery and a consumer with currents i PV (t), i B (t), i C (t).…”

Section: Photovoltaic Networkmentioning

confidence: 99%

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Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package

Steinebach

2023

Bit Numer Math

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Rosenbrock–Wanner methods for systems of stiff ordinary differential equations are well known since the seventies. They have been continuously developed and are efficient for differential-algebraic equations of index-1, as well. Their disadvantage that the Jacobian matrix has to be updated in every time step becomes more and more obsolete when automatic differentiation is used. Especially the family of Rodas methods has proven to be a standard in the Julia package DifferentialEquations. However, the fifth-order Rodas5 method undergoes order reduction for certain problem classes. Therefore, the goal of this paper is to compute a new set of coefficients for Rodas5 such that this order reduction is reduced. The procedure is similar to the derivation of the methods Rodas4P and Rodas4P2. In addition, it is possible to provide new dense output formulas for Rodas5 and the new method Rodas5P. Numerical tests show that for higher accuracy requirements Rodas5P always belongs to the best methods within the Rodas family.

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Section: Photovoltaic Networkmentioning

confidence: 99%

“…The disadvantage is that additional information about the problem to be solved must be included in the stage evaluation. This may become complicated when pipe networks are considered and thus the boundary conditions must take coupling information into account [26]. A numerical comparison of the two approaches is given in Sect.…”

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confidence: 99%

Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package

Steinebach

2023

Bit Numer Math

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A Novel Emergency Gas-to-Power System Based on an Efficient and Long-Lasting Solid-State Hydride Storage System: Modeling and Experimental Validation

et al. 2022

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In this paper, a gas-to-power (GtoP) system for power outages is digitally modeled and experimentally developed. The design includes a solid-state hydrogen storage system composed of TiFeMn as a hydride forming alloy (6.7 kg of alloy in five tanks) and an air-cooled fuel cell (maximum power: 1.6 kW). The hydrogen storage system is charged under room temperature and 40 bar of hydrogen pressure, reaching about 110 g of hydrogen capacity. In an emergency use case of the system, hydrogen is supplied to the fuel cell, and the waste heat coming from the exhaust air of the fuel cell is used for the endothermic dehydrogenation reaction of the metal hydride. This GtoP system demonstrates fast, stable, and reliable responses, providing from 149 W to 596 W under different constant as well as dynamic conditions. A comprehensive and novel simulation approach based on a network model is also applied. The developed model is validated under static and dynamic power load scenarios, demonstrating excellent agreement with the experimental results.

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Water and Hydrogen Flow in Networks: Modelling and Numerical Solution by ROW Methods

Cited by 2 publications

References 21 publications

Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package

Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package

A Novel Emergency Gas-to-Power System Based on an Efficient and Long-Lasting Solid-State Hydride Storage System: Modeling and Experimental Validation

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