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Periodic Modelling of Power Systems
Lund University, Department of Automatic Control.ORCID iD: 0000-0003-1835-2963
Lund University, Department of Automatic Control.
2001 (English)In: Proceedings of the 1st IFAC Workshop on Periodic Control Systems, 2001, p. 91-96Conference paper, Published paper (Refereed)
Abstract [en]

This paper treats modelling of power systems with converters in a linear time-periodic framework. A power converter is a nonlinear switching device connecting an AC system to a DC system. The converter generates harmonics that might cause instabilities in systems of this kind. About a nominal periodic trajectory the power converter is well described by a periodic gain matrix, whereas the power grids often can be described by linear time-invariant models. Put together they form a linear time-periodic model. It is also shown in this paper how Integral Quadratic Constraints may be used for robustness analysis. To conclude an inverter locomotive is modeled with the described techniques.

Place, publisher, year, edition, pages
2001. p. 91-96
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-74718OAI: oai:DiVA.org:kth-74718DiVA, id: diva2:489889
Conference
1st IFAC Workshop on Periodic Control Systems
Note
QC 20120208Available from: 2012-02-03 Created: 2012-02-03 Last updated: 2012-02-08Bibliographically approved
In thesis
1. Linear Time-Varying Systems: Modeling and Reduction
Open this publication in new window or tab >>Linear Time-Varying Systems: Modeling and Reduction
2002 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Linear time-invariant models are widely used in the control community. They often serve as approximations of nonlinear systems. For control purposes linear approximations are often good enough since feedback control systems are inherently robust to model errors. In this thesis some of the possibilities for linear time-varying modeling are studied. In the thesis it is shown that the balanced truncation procedure can be applied to reduce the order of linear time-varying systems. Many of the attractive properties of balanced truncation for time-invariant systems can be generalized into the time-varying framework. For example, it is shown that a truncated input-output stable system will be input-output stable, and computable simple worst-case error bounds are derived. The method is illustrated with model reduction of a nonlinear diesel exhaust catalyst model. It is also shown that linear time-periodic models can be used for analysis of systems with power converters. Power converters produce harmonics in the power grids and give frequency coupling that cannot be modeled with standard time-invariant linear models. With time-periodic models we can visualize the coupling and also use all the available tools for linear time-varying systems, such as balanced truncation. The method is illustrated on inverter locomotives.

Place, publisher, year, edition, pages
Lund: Lund University, 2002. p. 21
Keywords
linear time-varying, model reduction, balanced truncation, error bounds, power converters, harmonics, periodic modeling, inverter locomotive
National Category
Control Engineering
Identifiers
urn:nbn:se:kth:diva-74720 (URN)
Presentation
2002-11-19, Maskinhuset, Lunds tekniska högskola, Lund, 10:15 (English)
Opponent
Supervisors
Note
QC 20120208Available from: 2012-02-08 Created: 2012-02-03 Last updated: 2012-02-08Bibliographically approved

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