EA200701977A1 - Устойчивые способ и устройство для решения s-образных нелинейных функций с использованием модифицированных алгоритмов ньютона-рафсона - Google Patents

Устойчивые способ и устройство для решения s-образных нелинейных функций с использованием модифицированных алгоритмов ньютона-рафсона

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Publication number
EA200701977A1
EA200701977A1 EA200701977A EA200701977A EA200701977A1 EA 200701977 A1 EA200701977 A1 EA 200701977A1 EA 200701977 A EA200701977 A EA 200701977A EA 200701977 A EA200701977 A EA 200701977A EA 200701977 A1 EA200701977 A1 EA 200701977A1
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EA
Eurasian Patent Office
Prior art keywords
solving
algorithms
inflection point
rafson
nonlinear functions
Prior art date
Application number
EA200701977A
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English (en)
Other versions
EA014117B1 (ru
Inventor
Дженни Патрик
Хамди А. Челпи
Сеонг Х. Ли
Original Assignee
Шеврон Ю.Эс.Эй. Инк.
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Application filed by Шеврон Ю.Эс.Эй. Инк. filed Critical Шеврон Ю.Эс.Эй. Инк.
Publication of EA200701977A1 publication Critical patent/EA200701977A1/ru
Publication of EA014117B1 publication Critical patent/EA014117B1/ru

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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Data Mining & Analysis (AREA)
  • General Engineering & Computer Science (AREA)
  • Software Systems (AREA)
  • Databases & Information Systems (AREA)
  • Algebra (AREA)
  • Operations Research (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)
  • Complex Calculations (AREA)
  • Measuring Fluid Pressure (AREA)
  • Aerodynamic Tests, Hydrodynamic Tests, Wind Tunnels, And Water Tanks (AREA)
  • Investigating, Analyzing Materials By Fluorescence Or Luminescence (AREA)
  • Inorganic Insulating Materials (AREA)
  • Treatments Of Macromolecular Shaped Articles (AREA)
  • Inorganic Compounds Of Heavy Metals (AREA)

Abstract

Предусмотрены устройство и способ решения нелинейной S-образной функции F=f(S), которая выражает свойство S в физической системе, например насыщенность, при моделировании коллектора. Итерацию Ньютона (Т) применяют к функции f(S) в Sν для определения значения следующей итерации Sν. Затем определяют, располагается ли Sνс противоположной стороны точки перегиба Sотносительно Sν. Если Sνрасполагается с противоположной стороны точки перегиба относительно Sν, то Sνзадают равным S, что является модифицированной новой оценкой. Модифицированную новую оценку, Sпредпочтительно задавать равной либо точке перегиба S, либо среднему значению между Sν и Sν, т.е. S= 0,5(Sν+Sν). Повторяют вышеописанные этапы, пока Sνне будет удовлетворять заранее определенным критериям сходимости. Кроме того, описаны алгоритмы решения для двухфазного и трехфазного потока с учетом гравитации и капиллярного давления.
EA200701977A 2005-03-15 2006-03-15 Способ и устройство для моделирования имитатора коллектора EA014117B1 (ru)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US66241405P 2005-03-15 2005-03-15
US66241605P 2005-03-15 2005-03-15
PCT/US2006/009868 WO2006099595A2 (en) 2005-03-15 2006-03-15 Stable method and apparatus for solving s-shaped non -linear functions utilizing modified newton-raphson algorithms

Publications (2)

Publication Number Publication Date
EA200701977A1 true EA200701977A1 (ru) 2008-12-30
EA014117B1 EA014117B1 (ru) 2010-10-29

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EA200701977A EA014117B1 (ru) 2005-03-15 2006-03-15 Способ и устройство для моделирования имитатора коллектора

Country Status (9)

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US (1) US7505882B2 (ru)
EP (1) EP1866820A4 (ru)
CN (1) CN101657824B (ru)
AU (1) AU2006225121B2 (ru)
CA (1) CA2601450C (ru)
EA (1) EA014117B1 (ru)
NO (1) NO344552B1 (ru)
SG (1) SG162779A1 (ru)
WO (1) WO2006099595A2 (ru)

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CN112052529B (zh) * 2020-09-25 2023-03-17 中国直升机设计研究所 一种提高大前进比旋翼配平收敛性的计算方法
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CN113033128B (zh) * 2021-03-29 2022-05-24 北京华大九天科技股份有限公司 一种选取电路仿真中牛顿迭代的初值的方法
CN113363989B (zh) * 2021-06-10 2022-10-21 四川云起老和科技有限公司 一种基于潮流雅可比行列式的静态电压稳定临界点计算方法
US20240146212A1 (en) * 2022-10-27 2024-05-02 Abb Schweiz Ag Method for Boosting Current Compensation in Auxiliary Resonant Commutated Pole Inverter (ARCPI) with Saturable Inductor

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Also Published As

Publication number Publication date
NO344552B1 (no) 2020-01-27
SG162779A1 (en) 2010-07-29
CN101657824A (zh) 2010-02-24
US7505882B2 (en) 2009-03-17
CA2601450A1 (en) 2006-09-21
AU2006225121B2 (en) 2011-10-27
WO2006099595A9 (en) 2009-11-05
CN101657824B (zh) 2012-04-04
EP1866820A2 (en) 2007-12-19
NO20075255L (no) 2007-12-13
EP1866820A4 (en) 2017-06-07
EA014117B1 (ru) 2010-10-29
CA2601450C (en) 2015-06-16
WO2006099595A2 (en) 2006-09-21
AU2006225121A1 (en) 2006-09-21
US20060265203A1 (en) 2006-11-23

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MM4A Lapse of a eurasian patent due to non-payment of renewal fees within the time limit in the following designated state(s)

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MM4A Lapse of a eurasian patent due to non-payment of renewal fees within the time limit in the following designated state(s)

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