Index reduction method for DAE system

An index and equation technology, applied in the field of index reduction of DAE systems, can solve the problems of not improving the efficiency of index reduction, difficult to achieve block processing of sparse high-order DAE systems, etc., and achieve the effect of fast and accurate index reduction.

Inactive Publication Date: 2014-04-16
CAS OF CHENGDU INFORMATION TECH CO LTD
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  • Abstract
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  • Claims
  • Application Information

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Problems solved by technology

Although this method has the same time complexity as the Pantelides method, and has been applied to the professional software Mworks, it is not easy to realize the block processing of sparse high-order DAE systems, so that the efficiency of index reduction cannot be improved.

Method used

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  • Index reduction method for DAE system
  • Index reduction method for DAE system
  • Index reduction method for DAE system

Examples

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Embodiment

[0102] Taking a CNC five-axis linkage processing machine YHV6025 as the implementation object, the simulation model was established by using Maplesim6.1 software, and a DAE system composed of 275 differential or algebraic equations was obtained, and the DAE system was transformed into a Σ matrix; further block the Σ matrix upper triangular matrix factorization, and can be expressed as M = M 1 M 2 M 3 , in M 1 = 0 X ...

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Abstract

The invention provides an index reduction method for a DAE system. The method comprises the following steps that the DAE system is transformed into a sigma matrix; the sigma matrix breaks up into upper blocky triangular matrixes; reduction is conducted on each upper blocky triangular matrix by means of the block-separation fast reduction method, and a local optimum offset vector is obtained; the local optimum offset vectors of the upper blocky triangular matrixes are expanded to form an overall optimum offset vector of the sigma matrix. According to the block-separation fast reduction method and the parameters-containing cross section reduction method, the reduction efficiency of the DAE system is improved, and the system optimum offset vector is obtained.

Description

technical field [0001] The invention relates to a method in the field of multi-physical field modeling, in particular to an index reduction method for a DAE system. Background technique [0002] At present, the main index reduction methods for DAE systems (systems of differential algebraic equations) with general structures are: Gear method, Pantelides method, Pryce method and negative weight bipartite graph method. [0003] The Gear method is a DAE indicator reduction method for symbolic manipulation. This method uses a series of symbolic operations to find out the algebraic equations that need to be differentiated in the DAE system, and performs this process repeatedly until the DAE system is transformed into a differential equation (Ordinary Differential Equations, ODE) system. However, for general nonlinear DAE systems, due to the need to determine the rank of its correlation matrix and differentiate some unnecessary algebraic equations, the time complexity of the Gear ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/16
Inventor 唐卷秦小林冯勇
Owner CAS OF CHENGDU INFORMATION TECH CO LTD
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