Multiparameter Symbolic Sensitivity Analysis Enhanced by Nullor Model and Modified Coates Flow Graph

In symbolic sensitivity analysis very important role plays the number of additionally generated expressions and in consequence additional number of arithmetical operations. The main drawback of some methods based on the adjoint graph or on the two-graph technique, i.e. the necessity to multiply anal...

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Main Authors: Irina Asenova, Franciszek Balik
Format: Article
Language:English
Published: VSB-Technical University of Ostrava 2013-01-01
Series:Advances in Electrical and Electronic Engineering
Subjects:
Online Access:http://advances.utc.sk/index.php/AEEE/article/view/766
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author Irina Asenova
Franciszek Balik
author_facet Irina Asenova
Franciszek Balik
author_sort Irina Asenova
collection DOAJ
description In symbolic sensitivity analysis very important role plays the number of additionally generated expressions and in consequence additional number of arithmetical operations. The main drawback of some methods based on the adjoint graph or on the two-graph technique, i.e. the necessity to multiply analyze the corresponding graph, is avoided. Advantages of the method suggested are that, the matrix inversion is not required and the Coates graph is significantly simplified. Simplifications of the method introduced in this paper lead to the significant reduction of the final symbolic expressions without violation of accuracy. This simplification method can be considered as SBG-type and has an important impact on symbolic analysis. A special software tool called "HoneySen" has been developed to implement the suggested method. In the paper, it was shown that the presented method is more effective than the transimpedance method taking the number of arithmetical operations and the circuit insight into consideration. Comparison results for the multiparameter sensitivity calculations of the voltage the transfer function for a fourth-order low pass filter and a second-order high-pass filter are presented.
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spelling doaj.art-6eeddee4a35840bcbb0a847d1ba0fb7f2023-05-14T20:50:08ZengVSB-Technical University of OstravaAdvances in Electrical and Electronic Engineering1336-13761804-31192013-01-0111210811510.15598/aeee.v11i2.766582Multiparameter Symbolic Sensitivity Analysis Enhanced by Nullor Model and Modified Coates Flow GraphIrina Asenova0Franciszek Balik1University of Transport “T. Kableshkov”Wroclaw University of TechnologyIn symbolic sensitivity analysis very important role plays the number of additionally generated expressions and in consequence additional number of arithmetical operations. The main drawback of some methods based on the adjoint graph or on the two-graph technique, i.e. the necessity to multiply analyze the corresponding graph, is avoided. Advantages of the method suggested are that, the matrix inversion is not required and the Coates graph is significantly simplified. Simplifications of the method introduced in this paper lead to the significant reduction of the final symbolic expressions without violation of accuracy. This simplification method can be considered as SBG-type and has an important impact on symbolic analysis. A special software tool called "HoneySen" has been developed to implement the suggested method. In the paper, it was shown that the presented method is more effective than the transimpedance method taking the number of arithmetical operations and the circuit insight into consideration. Comparison results for the multiparameter sensitivity calculations of the voltage the transfer function for a fourth-order low pass filter and a second-order high-pass filter are presented.http://advances.utc.sk/index.php/AEEE/article/view/766modified coates flow graphnullor modelsymbolic sensitivity analysissymbolic transfer functionstransimpedance method.
spellingShingle Irina Asenova
Franciszek Balik
Multiparameter Symbolic Sensitivity Analysis Enhanced by Nullor Model and Modified Coates Flow Graph
Advances in Electrical and Electronic Engineering
modified coates flow graph
nullor model
symbolic sensitivity analysis
symbolic transfer functions
transimpedance method.
title Multiparameter Symbolic Sensitivity Analysis Enhanced by Nullor Model and Modified Coates Flow Graph
title_full Multiparameter Symbolic Sensitivity Analysis Enhanced by Nullor Model and Modified Coates Flow Graph
title_fullStr Multiparameter Symbolic Sensitivity Analysis Enhanced by Nullor Model and Modified Coates Flow Graph
title_full_unstemmed Multiparameter Symbolic Sensitivity Analysis Enhanced by Nullor Model and Modified Coates Flow Graph
title_short Multiparameter Symbolic Sensitivity Analysis Enhanced by Nullor Model and Modified Coates Flow Graph
title_sort multiparameter symbolic sensitivity analysis enhanced by nullor model and modified coates flow graph
topic modified coates flow graph
nullor model
symbolic sensitivity analysis
symbolic transfer functions
transimpedance method.
url http://advances.utc.sk/index.php/AEEE/article/view/766
work_keys_str_mv AT irinaasenova multiparametersymbolicsensitivityanalysisenhancedbynullormodelandmodifiedcoatesflowgraph
AT franciszekbalik multiparametersymbolicsensitivityanalysisenhancedbynullormodelandmodifiedcoatesflowgraph