IPC분류정보
국가/구분 |
United States(US) Patent
등록
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국제특허분류(IPC7판) |
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출원번호 |
US-0081496
(2011-04-07)
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등록번호 |
US-8615387
(2013-12-24)
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발명자
/ 주소 |
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출원인 / 주소 |
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대리인 / 주소 |
Jarmolowicz, Esq., Edward S.
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인용정보 |
피인용 횟수 :
0 인용 특허 :
8 |
초록
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A system is provided. The system comprises a computer system comprising at least one processor, a thermodynamic state solver application, and a thermodynamic system solver application. When executed by the at least one processor, the thermodynamic state solver application computes a flash equilibriu
A system is provided. The system comprises a computer system comprising at least one processor, a thermodynamic state solver application, and a thermodynamic system solver application. When executed by the at least one processor, the thermodynamic state solver application computes a flash equilibrium state solution for each of a plurality of nodes in a thermodynamic network and determines for each of the plurality of nodes at least one sensitivity of a first thermodynamic property with reference to at least one second thermodynamic property. When executed by the at least one processor, the thermodynamic system solver computes a pressure at each of the nodes and flows between the nodes based at least in part on the sensitivities, wherein a result based on the pressures and flows is determined.
대표청구항
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1. A system, comprising: a computer system comprising at least one processor;a thermodynamic process simulation application executes for the duration of a time period, the time period comprising a plurality of time steps;wherein the thermodynamic process simulation application executes on the at lea
1. A system, comprising: a computer system comprising at least one processor;a thermodynamic process simulation application executes for the duration of a time period, the time period comprising a plurality of time steps;wherein the thermodynamic process simulation application executes on the at least one processor, iteratively invoking a pressure flow solver application to determine for each time step a plurality of pressures and flows for a thermodynamic network comprising a plurality of nodes,wherein the thermodynamic process simulation application executes on the at least one processor, invoking a flash solver application for each of the plurality of nodes, the flash solver application performing a flash equilibrium calculation to obtain in part at least one sensitivity associated with a first thermodynamic variable and performing for each of the plurality of nodes a Taylor series expansion of a thermodynamic property associated with the first thermodynamic variable, wherein the expansion is based on the at least one sensitivity, to produce at least one residual,wherein a result is determined,wherein the Taylor series comprises an expansion of ⅆVⅆt,where ⅆVⅆtindicates the rate of change over time t of the volume V of a fluid associated with a node, wherein ⅆVⅆtcomprises (∂V∂p)ⅆPⅆt+(∂V∂U)ⅆUⅆt+∑i(∂V∂ni)ⅆniⅆt,wherein ∂V∂Pis the sensitivity of the volume V with respect to a pressure P, wherein ∂V∂Uis the sensitivity of the volume V with respect to an internal energy U, wherein ∑iindicates a summation over the plurality of chemical species associated with the node, wherein the index i ranges from 1 to M, wherein ∂V∂niis the sensitivity of the volume V with respect to ni, wherein ni is the number of moles of the i-th chemical species, wherein ∂V∂P,∂V∂Uand∂V∂niare evaluated at the flash equilibrium solution point, wherein ⅆPⅆt=ΔPΔt,where ΔP is the difference between the pressure at the current time step and the pressure at the previous time step and where Δt indicates the duration of a time step, wherein ⅆUⅆt=1n[FfHf-FvHv-FlHl+Qimp+Qr-U(Ff-Fv-Fl+∑ri)],wherein the superscripts “f”, “l” and “v” indicate properties associated with a feed, a mixed or liquid phase or a vapor phase, respectively, wherein the subscripts “imp” and “r” indicates a value imposed externally or via a reaction, respectively, wherein n indicates the number of moles associated with the node, wherein F indicates a molar flow, wherein H indicates an enthalpy, wherein Q indicates a heat flow, wherein ∑iindicates a summation over the plurality of chemical species associated with the node, wherein the index i ranges from 1 to M, wherein ri is the change in the number of moles of the i-th chemical species due to a reaction, wherein ⅆniⅆtis ⅆniⅆtisⅆniⅆt=Ffxif-Fvyi-Flxi+ri,wherein xfi is the molar fraction of the i-th chemical species in the feed, wherein xi is the molar fraction of the i-th chemical species in mixed or liquid phase and wherein yi is the molar fraction of the i-th chemical species in vapor phase. 2. The system of claim 1, further comprising the computation of a volume residual R associated with a vessel associated with the node, wherein R comprises (Vo-Vdrum)+ⅆVⅆtΔt, where V0 is the volume of a fluid in the vessel, wherein the volume is calculated by a flash equilibrium calculation, where Vdrum is the volume of the vessel containing the fluid, where ⅆVⅆt is the rate of change rate of change over time t of the volume V of a fluid associated with the node, wherein V is calculated by the thermodynamic state solver application, and wherein Δt indicates the duration of a time step, and wherein R is compared to a stopping criterion.
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