Model order reducing method for a parameter system

A technology of model reduction and parameterization, which is applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve the problems of high cost of reduction and the loss of the meaning of reduction in order reduction methods

Inactive Publication Date: 2005-12-14
FUDAN UNIV
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Problems solved by technology

[0037] 2. If in order to ensure the accuracy of the reduced-order system, the original parameter system needs to be reduced every time the parameters are changed, then the cost of reducing the order will be very high, especially when the parameters require many dif

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  • Model order reducing method for a parameter system
  • Model order reducing method for a parameter system
  • Model order reducing method for a parameter system

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Embodiment Construction

[0110] The present invention is further illustrated below by specific examples.

[0111] figure 1 It is the computing unit of a MEMS micro-thruster. The small rectangular box in the upper left corner represents the radiator. A reduced-order system (1) with parameters is obtained by discretizing this calculation unit with finite elements, where the parameter k represents the heat dissipation coefficient of the film layer. The output y(t) of this parameter system represents the temperature at the center of the heater. The temperature is directly related to the heat dissipation coefficient k of the film layer. When the value of the heat dissipation coefficient k of the film layer changes, the temperature at the center will change greatly. See figure 2 . The order of this parameter system is n=4257

[0112] To reduce the order of this parametric system, the multi-series expansion of the transfer function of the system is first calculated, and then the projection matrix is ​​ca...

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Abstract

The present invention belongs to the field of microelectromechanical MEMS and electronic technology, and is especially one kind of order reducing method for system model with parameters. The model order reducing technology can raise simulating and verifying speed of system model effectively and improve the design scheme of circuit and device timely. The present invention establishes model order reducing method to parameter system. Transfer function of parameter system is multiple series developed to constitute son projection matrix, and the son projection matrix is orthogonalized to constitute projection matrix. The projection matrix is used in reducing order of the original parameter system and the obtained reduced-order system is independent on some special values of the system parameters and can maintain order reducing precision on different values. The present invention has greatly raised order reducing precision and efficiency.

Description

technical field [0001] The invention belongs to the field of micro-electromechanical MEMS and electronic technology, and in particular relates to a model order reduction method of a parameter system. technical background [0002] Thermal phenomena have always played a very important role in many MEMS devices, such as microhotplate sensors, microfluidics, electro-thermal micromotors[2] and so on. Therefore, electrothermal simulation is an important part of modern engineering design. Usually need to use the finite element method to carry on the accurate description to a thermal model, thus obtains is a large-scale ordinary differential equation system. The traditional method of direct simulation is very time-consuming, which causes great difficulties for design and system-level simulation. Recently, in the field of electrothermal simulation, the establishment of a compact model has become the focus of discussion [3][4]. In practice, an important requirement of the compact m...

Claims

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Application Information

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IPC IPC(8): G06F17/00
Inventor 冯丽红曾璇
Owner FUDAN UNIV
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