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Simulation method of nonlinear multi-compartment hybrid Euler fixed step size

A multi-chamber mixed-connection and simulation method technology, which is applied in the direction of instruments, simulators, control/regulation systems, etc., can solve the problems that the simulation method is not applicable and cannot guarantee the real-time performance of the simulation, so as to reduce the rigidity and ensure the stability of the system Effect

Active Publication Date: 2018-06-19
NORTH CHINA UNIVERSITY OF TECHNOLOGY
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Problems solved by technology

However, the variable step size simulation cannot guarantee the real-time performance of the simulation, and when the system needs to perform semi-physical simulation, that is, real-time simulation, this simulation method is not applicable

Method used

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  • Simulation method of nonlinear multi-compartment hybrid Euler fixed step size
  • Simulation method of nonlinear multi-compartment hybrid Euler fixed step size
  • Simulation method of nonlinear multi-compartment hybrid Euler fixed step size

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Embodiment Construction

[0016] specific implementation

[0017] The technical solutions according to the embodiments of the present invention are specifically described below.

[0018] Taking the mixed connection of four cabins as an example, the system model is as follows figure 1 As shown, a simulation model is established based on the system model, such as Image 6 step (601).

[0019] First, the relationship between pressure and flow is as (1)

[0020]

[0021] in,

[0022] w represents the system mass flow, in kg / m 3 ;

[0023] v represents the square of the mass flow of the system, the unit is (kg / m 3 ) 2 ;

[0024] G means friction guide, the unit is (kg / s) 2 / Pa;

[0025] P represents the pressure difference between two points, the unit is Pa;

[0026] The subscripts represent different positions, such as figure 1 shown in.

[0027] According to the simulation model established by formula (1), there is a phenomenon of system divergence when a specific valve is closed, such as ...

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Abstract

The invention provides a modeling method for multi-chamber hybrid Euler fixed-step simulation. It is characterized in that it includes: the removal of the ill-conditioned algebraic loop of the linear system, that is, adding a virtual integral, so that the algebraic equation model with the ill-conditioned algebraic loop is converted into a differential equation model; adjusting the parameters of the virtual integral can reduce the rigidity of the system; and then the linear system Reverting to a nonlinear system, in order to ensure the stability of the system, a method to solve the steady-state oscillation simulation with Euler's fixed step size is proposed.

Description

technical field [0001] The invention relates to the multi-cabin hybrid simulation, analyzes the problems in the simulation, designs a new simulation method, and ensures that the multi-cabin hybrid Euler fixed-step simulation is close to the actual situation, which is of great significance. Background technique [0002] For the simulation of multi-cabin hybrid, there are two types of simulation methods: fixed-step and variable-step. Among them, the simulation results of variable step size are generally stable and close to the actual situation. However, the variable-step simulation cannot guarantee the real-time performance of the simulation, and when the system needs to perform semi-physical simulation, that is, real-time simulation, this simulation method is not applicable. SUMMARY OF THE INVENTION [0003] In view of the above problems, the inventor chooses to use a fixed-step simulation method to simulate the multi-cabin hybrid connection. Among them, Euler's method is...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B17/02
Inventor 曲洪权杨丹毕福昆郑彤李雪莲
Owner NORTH CHINA UNIVERSITY OF TECHNOLOGY
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