Journal ArticleDOI
Improvements of Pade Approximation Technique in Model Order Reduction
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TLDR
The Pade approximation technique for model order reduction often exhibits two inherent deficiencies, i.e. (l) the reduced model often depicts non-minimum phase difficulties and (b) it often shows poor matching in the transient zone, although the steady state values are the same as for the parent system.About:
This article is published in IFAC Proceedings Volumes.The article was published on 1982-01-01. It has received 5 citations till now. The article focuses on the topics: Model order reduction & Function approximation.read more
Citations
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Journal ArticleDOI
Continued-fraction Expansion About Two or More Points: A Flexible Approach to Linear System Reduction
TL;DR: In this paper, model reduction by continued-fraction expansion about two or more points, including the general point s = a, is shown to be a real alternative to the methods which guarantee stability.
Journal ArticleDOI
System reduction by Cauer continued-fraction expansion about s=a and s=∞alternately
R. Parthasarathy,K.N. Jayasimha +1 more
TL;DR: In this paper, an algorithm to obtain the Cauer continued-fraction expansion of a given transfer function about an arbitrary point s = a and s = ∞ alternately is presented.
Journal ArticleDOI
A New Method for Model Order Reduction
TL;DR: In this article, the approximate generalised Markov parameters (AGMPs) are used to obtain reduced order transfer function models for high-order systems, and the method is applied to some typical examples from the literature.
Book ChapterDOI
Model Order Reduction of Power Systems and Application of Internal Model Control (IMC)
TL;DR: In this paper , a lower-order power system model is derived by utilizing model-order reduction algorithms, which significantly reduces computational effort in controller design. But, the feasibility of the derived lowerorder models has also been shown by performing time and frequency-domain analysis.
Proceedings ArticleDOI
Simulation of Complex High Order Systems using Reduced Order Models
TL;DR: In this article, a computer-oriented algorithmic method is proposed to overcome the serious disadvantage of the classical Pade approximation technique often resulting in unstable reduced models from stable high order systems.
References
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Journal ArticleDOI
Routh approximations for reducing order of linear, time-invariant systems
TL;DR: The Routh table of the original transfer function has been used in this article to approximate the transfer function of a high-order linear system by one of lower-order lower order.
Journal ArticleDOI
Stable reduced-order models using Padé-type approximations
TL;DR: In this paper, an algorithm is introduced which ensures that the reduced-order model derived by equating time-moments and by continued fraction synthesis will be stable, assuming the high-order system is stable.
Journal ArticleDOI
Model reduction using the Routh stability criterion and the Padé approximation technique
TL;DR: In this paper, a new method of reduction is introduced, based on the Routh stability criterion and the Pade approximation technique, which may be applied to the reduction of single-input/single-output and multivariable systems.
Journal ArticleDOI
Reduction of Transfer Functions by the Stability-Equation Method
T.C. Chen,C.Y. Chang,K.W. Han +2 more
TL;DR: In this paper, a method of model reduction for reducing a high-order transfer function to its low-order models is introduced based upon the stability-equation method. But the transfer functions of reduced orders are obtained directly from the pole-zero patterns of the stability equations of the original transfer function.
Journal ArticleDOI
Stable reduced-order Padé approximants using the Routh-Hurwitz array
TL;DR: In this article, a mixed method is proposed for finding stable reduced-order models using the Pade approximation technique and the Routh-Hurwitz array, which guarantees stability of the reduced model when the original system is stable.