Intelligent pressure management system for cryogenic fluid systems
US-2019383236-A1 · Dec 19, 2019 · US
US12111014B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-12111014-B2 |
| Application number | US-202217950882-A |
| Country | US |
| Kind code | B2 |
| Filing date | Sep 22, 2022 |
| Priority date | Sep 30, 2021 |
| Publication date | Oct 8, 2024 |
| Grant date | Oct 8, 2024 |
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The present invention relates to a computer-implemented method and system for computing a transition parameter of a liquefied gas storage medium, the storage medium having at least one sealed and unrefrigerated tank, the transition parameter characterizing an evolution of a two-phase mixture contained in the sealed and unrefrigerated tank between an initial state and a final state, the two-phase mixture including a liquid phase and a vapour phase, the transition parameter may be a duration of the transition, a liquid bleeding rate or a vapour bleeding rate.
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What is claimed is: 1. A computer-implemented method for computing a transition parameter of a liquefied gas storage medium, the storage medium comprising at least one sealed and unrefrigerated tank ( 2 , 4 , 5 , 6 , 7 or 11 ) equipped with a safety valve ( 20 ), the transition parameter characterizing an evolution of a two-phase mixture ( 13 ) contained in the sealed and unrefrigerated tank between an initial state ( 8 ) and a final state ( 9 ), the two-phase mixture including a liquid phase and a vapour phase, wherein said transition parameter is selected in a group consisting of a duration of the transition τ, a liquid bleeding rate {dot over (m)} l or a vapour bleeding rate {dot over (m)} v , the method comprising the steps of: determining, for the liquid phase and the vapour phase in the initial state ( 8 ), initial mass densities ρ l,i and ρ v,i , and initial internal mass energies U l,i and U v,i on the basis of an initial liquid phase temperature T l,i , an initial vapour phase temperature T v,i , an initial vapour phase pressure P i , an initial liquid phase volume V l,i and an initial liquid phase composition x l,i ; determining, for the liquid phase and the vapour phase in the final state ( 9 ), final mass densities ρ l,f and ρ v,f , final internal mass energies U l,f and U v,f , and final mass enthalpies H l,f and H v,f on the basis of an equation of state and a final vapour phase pressure P f , the final pressure of the vapour phase P f being less than or equal to the setting pressure of the safety valve ( 20 ) and greater than or equal to the initial pressure of the vapour phase P i ; computing the transition parameter using the following equation: τ( {dot over (Q)}+{dot over (m)} v ( H v,f −Ū )+ {dot over (m)} l ( H l,f −Ū ))=ρ l,i V l,i ( Ū−U l,i )+ρ v,i ( V t −V l,i )( Ū−U v,i )+ρ v,f V t ( U v,f −Ū ) in which {dot over (Q)} corresponds to an energy contribution by heat ingress through the walls of a tank per unit of time, V t corresponds to a total volume of the tank and with U _ = ρ l , f U l , f - ρ v , f U v , f ρ l , f - ρ v , f . 2. A computer-implemented method for computing a transition parameter of a liquefied gas storage medium, the storage medium comprising at least one sealed and unrefrigerated tank ( 2 , 4 , 5 , 6 , 7 or 11 ) equipped with a vacuum breaker valve ( 21 ), the transition parameter characterizing an evolution of a two-phase mixture ( 13 ) contained in the sealed and unrefrigerated tank between an initial state ( 8 ) and a final state ( 9 ), the two-phase mixture including a liquid phase and a vapour phase, wherein said transition parameter is selected in a group consisting of a duration of the transition τ, a liquid bleeding rate {dot over (m)} l or a vapour bleeding rate {dot over (m)} v , the method comprising the steps of: determining, for the liquid phase and the vapour phase in the initial state ( 8 ), initial mass densities ρ l,i and ρ v,i , and initial internal mass energies U l,i and U v,i on the basis of an initial liquid phase temperature T l,i , an initial vapour phase temperature T v,i , an initial vapour phase pressure P i , an initial liquid phase volume V l,i and an initial liquid phase composition x l,i ; determining, for the liquid phase and the vapour phase in the final state ( 9 ), final mass densities μ l,f and ρ v,f , final internal mass energies U l,f and U v,f , and final mass enthalpies H l,f and H v,f on the basis of an equation of state and a final vapour phase pressure P f , the final pressure of the vapour phase P f is greater than or equal to the setting pressure of the vacuum breaker valve ( 21 ) and less than or equal to the initial pressure of the vapour phase P i ; computing the transition parameter using the following equation: τ( {dot over (Q)}+{dot over (m)} v ( H v,f −Ū )+ {dot over (m)} l ( H l,f −Ū ))=ρ l,i V l,i ( Ū−U l,i )+ρ v,i ( V t −V l,i )( Ū−U v,i )+ρ v,f V t ( U v,f −Ū ) in which {dot over (Q)} corresponds to an energy contribution by heat ingress through the walls of a tank per unit of time, V t corresponds to a total volume of the tank and with U _ = ρ l , f U l , f - ρ v , f U v , f ρ l , f - ρ v , f . 3. The method according to claim 1 , wherein the storage medium comprises a plurality of tanks ( 2 , 4 , 5 , 6 , 7 and 11 ) and, f
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