Power Grids' Dynamic Enlargement Calculus Using Petri Nets

The robustness of power grids characterizes the behavior of grids in situations of serial failures and/or human errors. A coherent method of evaluating vulnerability is to quantify this attribute in terms of the scale-free graph theory. One way of increasing power grid robustness consists of adding...

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Main Authors: DUB, V., MUNTEANU, R.
Format: Article
Language:English
Published: Stefan cel Mare University of Suceava 2011-05-01
Series:Advances in Electrical and Computer Engineering
Subjects:
Online Access:http://dx.doi.org/10.4316/AECE.2011.02012
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author DUB, V.
MUNTEANU, R.
author_facet DUB, V.
MUNTEANU, R.
author_sort DUB, V.
collection DOAJ
description The robustness of power grids characterizes the behavior of grids in situations of serial failures and/or human errors. A coherent method of evaluating vulnerability is to quantify this attribute in terms of the scale-free graph theory. One way of increasing power grid robustness consists of adding new electric lines between the existing nodes. Once the target scale-free network is found, the real network must be enlarged to the graph of the target network. The choice of a reasonable solution is made difficult by the great number of topological solutions, because this number increases as the number of the network nodes becomes bigger. Thus, the first aim is to make an inventory of all these solutions. The second necessary step is to build correct algorithms able to find the nodes of the real grid which will be connected respecting economical criteria. In continuation of our previous research, our paper proposes a Petri net-based method of building all enlargement variants, starting from non-robust networks to the nearest free-scale, robust network. Starting from some distinctive characteristics of elementary enlargements introduced in our earlier works, this allows us to obtain a mathematically unique, robustness-oriented enlargement solution.
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spelling doaj.art-9bfcfd30975d42f1bb30763574a566352022-12-22T02:42:02ZengStefan cel Mare University of SuceavaAdvances in Electrical and Computer Engineering1582-74451844-76002011-05-01112737810.4316/AECE.2011.02012Power Grids' Dynamic Enlargement Calculus Using Petri NetsDUB, V.MUNTEANU, R.The robustness of power grids characterizes the behavior of grids in situations of serial failures and/or human errors. A coherent method of evaluating vulnerability is to quantify this attribute in terms of the scale-free graph theory. One way of increasing power grid robustness consists of adding new electric lines between the existing nodes. Once the target scale-free network is found, the real network must be enlarged to the graph of the target network. The choice of a reasonable solution is made difficult by the great number of topological solutions, because this number increases as the number of the network nodes becomes bigger. Thus, the first aim is to make an inventory of all these solutions. The second necessary step is to build correct algorithms able to find the nodes of the real grid which will be connected respecting economical criteria. In continuation of our previous research, our paper proposes a Petri net-based method of building all enlargement variants, starting from non-robust networks to the nearest free-scale, robust network. Starting from some distinctive characteristics of elementary enlargements introduced in our earlier works, this allows us to obtain a mathematically unique, robustness-oriented enlargement solution.http://dx.doi.org/10.4316/AECE.2011.02012topological vulnerabilityPetri netspower gridsscale-free graphs
spellingShingle DUB, V.
MUNTEANU, R.
Power Grids' Dynamic Enlargement Calculus Using Petri Nets
Advances in Electrical and Computer Engineering
topological vulnerability
Petri nets
power grids
scale-free graphs
title Power Grids' Dynamic Enlargement Calculus Using Petri Nets
title_full Power Grids' Dynamic Enlargement Calculus Using Petri Nets
title_fullStr Power Grids' Dynamic Enlargement Calculus Using Petri Nets
title_full_unstemmed Power Grids' Dynamic Enlargement Calculus Using Petri Nets
title_short Power Grids' Dynamic Enlargement Calculus Using Petri Nets
title_sort power grids dynamic enlargement calculus using petri nets
topic topological vulnerability
Petri nets
power grids
scale-free graphs
url http://dx.doi.org/10.4316/AECE.2011.02012
work_keys_str_mv AT dubv powergridsdynamicenlargementcalculususingpetrinets
AT munteanur powergridsdynamicenlargementcalculususingpetrinets