Control method of magnetofluid system based on partial differential equation model learning

A control method and magnetic fluid technology, applied in the direction of adaptive control, general control system, control/adjustment system, etc., can solve the problems of parameter error and parameter uncertainty, achieve accuracy improvement, save time and cost, and improve calculation efficiency Effect

Active Publication Date: 2020-09-11
NINGBO UNIV
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Problems solved by technology

The fluid Reynolds number of ferrofluid is extremely easy to cause parameter errors, resulting in parameter uncertainty

Method used

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  • Control method of magnetofluid system based on partial differential equation model learning
  • Control method of magnetofluid system based on partial differential equation model learning
  • Control method of magnetofluid system based on partial differential equation model learning

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Embodiment Construction

[0043] like figure 1 Shown: The topological structure of the magnetic fluid system in the channel is composed of the channel 1 with both ends closed, the magnetic fluid fluid 2, and the external electromagnetic field 3 perpendicular to the flow direction of the magnetic fluid. The external electromagnetic field affects the movement of the magnetic fluid through the adjustment of the current and voltage values.

[0044] The present invention is based on the modeling steps of the magnetic fluid system with uncertain parameters:

[0045] Let x∈[0,1] be the space variable, L eis the channel length. Let t∈[0,T] be the time variable and T be the entire time scale. The one-dimensional incompressible Newtonian conduction electrofluid flow model with parameter uncertainty in the channel is

[0046]

[0047] In the formula, V(x,t) is the flow velocity of the magnetic fluid; B(x,t) is the magnetic induction of the magnetic fluid system; p(t) is the pressure drop along the channel;...

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Abstract

The invention relates to a control method of a magnetofluid system based on PDE model learning. The method comprises the following steps that a topological structure of a magnetofluid system in a channel is constructed, wherein the magnetofluid system comprises a channel with the two ends closed, magnetofluid in the channel and an external electromagnetic field perpendicular to the flowing direction of the magnetofluid; upper and lower boundaries of a magnetofluid Reynolds number are set; the control parameters are used for approximating an external adjustable induced magnetic field; the magnetofluid speed at the initial moment is obtained, and the magnetofluid induction intensity at the initial moment is obtained; and with the control parameters and the Reynolds number of the fluid as input and the magnetofluid flow velocity value at the moment T as output, a polynomial chaos expansion model for approximating the speed of the magnetofluid is constructed. The method has the following advantages: the magnetofluid system with the parameter uncertainty is considered; and since the model uncertainty parameters and the control parameters are uniformly distributed, the approximation of polynomial chaos expansion is ensured.

Description

technical field [0001] The invention relates to the field of magnetic fluid motion control in a closed channel, and focuses on completing the uncertain quantification of the magnetic fluid model parameters and the magnetic fluid motion control strategy. Background technique [0002] Magnetic fluid is a new type of functional material, which has both the fluidity of liquid and the magnetism of solid magnetic materials. It is a stable colloidal liquid formed by mixing magnetic solid particles with a diameter of nanometer scale (below 10 nanometers), base carrier liquid and surfactant. The fluid is widely used in various harsh conditions of magnetic fluid sealing, shock absorption, medical equipment, sound adjustment, light display, magnetic fluid beneficiation and other fields. [0003] The magnetic fluid model is a nonlinear spatiotemporal evolution model of the mutual coupling of the magnetic fluid flow velocity, magnetic induction flux and external magnetic field. The flu...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/047
Inventor 卢荣华陈特欢
Owner NINGBO UNIV
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