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Stephan Trenn
Stephan Trenn

Stephan Trenn

Projects, publications, slides and other research related news

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Category: Submitted

Posted on 2017-12-20

Preprint on switched-induced instability in power grids

We have submitted the manuscript

Gross, Tjorben B; Trenn, Stephan; Wirsen, Andreas

Switch induced instabilities for stable power system DAE models Inproceedings

Proc. IFAC Conf. Analysis Design Hybrid Systems (ADHS 2018), 2018, (to appear).

Abstract | Links | BibTeX

@inproceedings{GrosTren18,
title = {Switch induced instabilities for stable power system DAE models},
author = {Tjorben B. Gross and Stephan Trenn and Andreas Wirsen},
url = {http://stephantrenn.net/wp-content/uploads/2018/04/Preprint-GTW180413.pdf, Preprint},
year = {2018},
date = {2018-07-11},
booktitle = {Proc. IFAC Conf. Analysis Design Hybrid Systems (ADHS 2018)},
journal = {IFAC-PapersOnLine},
abstract = {It is well known that for switched systems the overall dynamics can be unstable despite stability of all individual modes. We show that this phenoma can indeed occur for a linearized DAE model of power grids. By making certain topological assumptions on the power grid, we can ensure stability under arbitrary switching.},
note = {to appear},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}

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It is well known that for switched systems the overall dynamics can be unstable despite stability of all individual modes. We show that this phenoma can indeed occur for a linearized DAE model of power grids. By making certain topological assumptions on the power grid, we can ensure stability under arbitrary switching.

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  • Preprint

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for publication. The results of this manuscript are based on Tjorben’s PhD-thesis.

Posted on 2017-11-232017-12-20

Paper on indiscernible topological changes submitted

We have submitted the manuscript

Patil, Deepak; Tesi, Pietro; Trenn, Stephan

Indiscernible topological variations in DAE networks Unpublished

2017.

Abstract | Links | BibTeX

@unpublished{PatiTesi17pp,
title = {Indiscernible topological variations in DAE networks},
author = {Deepak Patil and Pietro Tesi and Stephan Trenn},
url = {http://stephantrenn.net/wp-content/uploads/2017/11/Preprint-PTT171123.pdf, Preprint},
year = {2017},
date = {2017-11-23},
abstract = {A problem of characterizing conditions under which a topological change in a network of differential algebraic equations (DAEs) can go undetected is considered. It is shown that initial conditions for which topological changes are indiscernible belong to a generalized eigenspace shared by the nominal system and the system resulting from a topological change. A condition in terms of eigenvectors of the nominal system is derived to check for existence of possibly indiscernible topological changes. For homogenous networks this conditions simplifies to existence of an eigenvector of the Laplacian of network having equal components. Lastly, a rank condition is derived which can be used to check if a topological change preserves regularity of the nominal network.},
keywords = {},
pubstate = {published},
tppubtype = {unpublished}
}

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A problem of characterizing conditions under which a topological change in a network of differential algebraic equations (DAEs) can go undetected is considered. It is shown that initial conditions for which topological changes are indiscernible belong to a generalized eigenspace shared by the nominal system and the system resulting from a topological change. A condition in terms of eigenvectors of the nominal system is derived to check for existence of possibly indiscernible topological changes. For homogenous networks this conditions simplifies to existence of an eigenvector of the Laplacian of network having equal components. Lastly, a rank condition is derived which can be used to check if a topological change preserves regularity of the nominal network.

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  • Preprint

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for publication. It is an extension of our IFAC paper

Küsters, Ferdinand; Patil, Deepak; Tesi, Pietro; Trenn, Stephan

Indiscernible topological variations in DAE networks with applications to power grids Inproceedings

Proc. 20th IFAC World Congress 2017, pp. 7333 - 7338, Toulouse, France, 2017, ISSN: 2405-8963.

Abstract | Links | BibTeX

@inproceedings{KustPati17a,
title = {Indiscernible topological variations in DAE networks with applications to power grids},
author = {Ferdinand Küsters and Deepak Patil and Pietro Tesi and Stephan Trenn},
url = {http://stephantrenn.net/wp-content/uploads/2017/09/Preprint-KPTT170320.pdf, Preprint},
doi = {10.1016/j.ifacol.2017.08.1478},
issn = {2405-8963},
year = {2017},
date = {2017-03-24},
booktitle = {Proc. 20th IFAC World Congress 2017},
journal = {IFAC-PapersOnLine},
volume = {50},
number = {1},
pages = {7333 - 7338},
address = {Toulouse, France},
abstract = {The ability to detect topology variations in dynamical networks defined by differential algebraic equations (DAEs) is considered. We characterize the existence of initial states, for which topological changes are indiscernible. A key feature of our characterization is the ability to verify indiscernibility just in terms of the nominal topology. We apply the results to a power grid model and also discuss the relationship to recent mode-detection results for switched DAEs.},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}

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The ability to detect topology variations in dynamical networks defined by differential algebraic equations (DAEs) is considered. We characterize the existence of initial states, for which topological changes are indiscernible. A key feature of our characterization is the ability to verify indiscernibility just in terms of the nominal topology. We apply the results to a power grid model and also discuss the relationship to recent mode-detection results for switched DAEs.

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  • Preprint
  • doi:10.1016/j.ifacol.2017.08.1478

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where we extended the results to the MIMO case and also fully characterize the set of indiscernible initial states. Furthermore, we present sufficient conditions for regularity preserving topological changes.

Posted on 2017-11-162017-12-20

Preprint on observer design for detectable switched DAEs available

We have submitted our manuscript

Tanwani, Aneel; Trenn, Stephan

Detectability and Observer Design for Switched Differential Algebraic Equations Unpublished

2017.

Abstract | Links | BibTeX

@unpublished{TanwTren17pp,
title = {Detectability and Observer Design for Switched Differential Algebraic Equations},
author = {Aneel Tanwani and Stephan Trenn},
url = {http://stephantrenn.net/wp-content/uploads/2017/11/Preprint-TT171116.pdf, Preprint},
year = {2017},
date = {2017-11-16},
abstract = {This paper studies detectability for switched linear differential-algebraic equations (DAEs) and its application to the synthesis of observers, which generate asymptotically converging state estimates.
Equating detectability to asymptotic stability of zero-output-constrained state trajectories, and building on our work on interval-wise observability, we propose the notion of interval-wise detectability: If the output of the system is constrained to be identically zero over an interval, then the norm of the corresponding state trajectories scales down by a certain factor at the end of that interval. Conditions are provided under which the interval-wise detectability leads to asymptotic stability of zero-output-constrained state trajectories.
An application is demonstrated in designing state estimators. Decomposing the state into observable and unobservable components, we show that if the observable component of the system is reset appropriately and persistently, then the estimation error converges to zero asymptotically under the interval-wise detectability assumption.
},
keywords = {},
pubstate = {published},
tppubtype = {unpublished}
}

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This paper studies detectability for switched linear differential-algebraic equations (DAEs) and its application to the synthesis of observers, which generate asymptotically converging state estimates.
Equating detectability to asymptotic stability of zero-output-constrained state trajectories, and building on our work on interval-wise observability, we propose the notion of interval-wise detectability: If the output of the system is constrained to be identically zero over an interval, then the norm of the corresponding state trajectories scales down by a certain factor at the end of that interval. Conditions are provided under which the interval-wise detectability leads to asymptotic stability of zero-output-constrained state trajectories.
An application is demonstrated in designing state estimators. Decomposing the state into observable and unobservable components, we show that if the observable component of the system is reset appropriately and persistently, then the estimation error converges to zero asymptotically under the interval-wise detectability assumption.

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  • Preprint

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for publication. We hope to receive constructive reviews soon.

Upcoming Travel

19.-20.04.2018 Meeting of GAMM-Fachausschuss “Dynamik und Regelungstheorie”, TU Berlin, Germany

03.-06.07.2018 14th Viennese Conference on Optimal Control and Dynamic Games, Vienna, Austria

11.-13.07.2018 IFAC Conference on Analysis and Design of Hybrid Systems, Oxford, UK

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