Model reduction of high-order multistage systems by the method of orthogonal collocation

1980 ◽  
Vol 58 (3) ◽  
pp. 382-388 ◽  
Author(s):  
Kin Tuck Wong ◽  
Rein Luus
Keyword(s):  
Model Reduction ◽  
High Order ◽  
Orthogonal Collocation

scholarly journals High-order differentiable autoencoder for nonlinear model reduction

2021 ◽  
Vol 40 (4) ◽  
pp. 1-15
Author(s):  
Siyuan Shen ◽  
Yin Yang ◽  
Tianjia Shao ◽  
He Wang ◽  
Chenfanfu Jiang ◽  
...  
Keyword(s):  
Model Reduction ◽  
Nonlinear Model ◽  
High Order ◽  
Nonlinear Model Reduction

scholarly journals High-order differentiable autoencoder for nonlinear model reduction

2021 ◽  
Vol 40 (4) ◽  
pp. 1-15
Author(s):  
Siyuan Shen ◽  
Yin Yang ◽  
Tianjia Shao ◽  
He Wang ◽  
Chenfanfu Jiang ◽  
...  
Keyword(s):  
Model Reduction ◽  
Nonlinear Model ◽  
High Order ◽  
Nonlinear Model Reduction

An Improved Model Reduction Method and its Application in Similar Simulation of Complex Systems

2013 ◽  
Vol 744 ◽  
pp. 8-12
Author(s):  
Ai Lun Wang ◽  
Qian Jin Wang
Keyword(s):  
Complex Systems ◽  
Model Reduction ◽  
Reduction Method ◽  
High Order ◽  
System Model ◽  
Order System ◽  
Characteristic Analysis ◽  
Aggregation Method ◽  
Reduction Methods ◽  
Similar Simulation

The model reduction methods aim at simplifying system model while retaining system dynamic behaviors. In this study, an improved high-order system model reduction method based on modal aggregation is proposed, and which is applied to a typical complex mechanical system. Compared with general model reduction methods based on aggregation method, this method derived from the modal matrix can get more accurate aggregation matrix. The research on natural characteristic of gas turbine blade-disk shows that the reduced-order model obtained by modal aggregation method retains the dynamics of original complex system, which verified feasibility and effectiveness of the modal aggregation reduction method and also provided an easy method for similar simulation modeling and dynamic characteristic analysis of high-order complex systems.

Minimal Pade´ Model Reduction for Multivariable Systems

1984 ◽  
Vol 106 (4) ◽  
pp. 293-299 ◽  
Author(s):  
Y. Bistritz ◽  
U. Shaked
Keyword(s):  
Model Reduction ◽  
Minimal Model ◽  
High Order ◽  
Order System ◽  
Multivariable Systems ◽  
Minimal Order ◽  
Minimal Set ◽  
Order Linear ◽  
High Order System ◽  
Independent Parameters

The approximation of high order linear multivariable systems in the Pade´ sense is considered. A unified treatment is presented by which various models of minimal order are found which match given sequences of time moments and Markov matrices. The uniqueness of these models is investigated and in cases where there exist more than one minimal model for a given sequence the set of all the distinct models is characterized by a minimal set of independent parameters which can be assigned arbitrary values. The possible instability of Pade´ reduced models for stable systems is considered and a method is suggested which yields stable models that approximate the high order system, or at least its magnitude, in the Pade´ sense.

A model reduction technique for high order eddy current problems

1990 ◽  
Vol 26 (2) ◽  
pp. 690-693 ◽  
Author(s):  
E. Coccorese ◽  
S. Coco ◽  
R. Martone
Keyword(s):  
Model Reduction ◽  
Eddy Current ◽  
Reduction Technique ◽  
High Order ◽  
Model Reduction Technique
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