Structure-preserving model reduction with applications to power system dynamic equivalents

Tsai, Yu-Kun; Natarajan, Nagarajan; Wu, F.F.

doi:10.1109/tcs.1982.1085193

Cited by 12 publications

References 10 publications

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Structured coprime factor model reduction based on LMIs

Paganini

2005

Automatica

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In this paper we discuss dynamic model reduction methods which preserve a certain structure in the underlying system. Specifically, we consider the situation where the reduction must be consistent with a partition of the system states. This is motivated, for instance, in situations where state variables are associated with the topology of a networked system, and the reduction should preserve this. We build on the observation that imposing block structure to generalized controllability and observability gramians automatically yields such state-partitioned model reduction. The difficulty lies in ensuring feasibility of the resulting Lyapunov inequalities, which is in general very restrictive. To overcome this, we consider coprime factor model reduction. We derive an LMI characterization of expansive and contractive coprime factorizations that preserve structure, and use this to build a more flexible method for structured model reduction. An example is given to illustrate the method.

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Structured coprime factor model reduction based on LMIs

Paganini

2005

Automatica

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Dynamic REI equivalents for short circuit and transient stability analyses

Milano¹,

Srivastava²

2009

Electric Power Systems Research

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LMI relaxation to Riccati equations in structured control

Paganini

2007

International Journal of Control

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In this paper we discuss structured H2 control methods for large-scale interconnected systems. Based on a relaxation of Riccati equations, we derive some linear matrix inequality (LMI) conditions for suboptimal controllers in which information structure can be imposed. In particular, we derive controllers by solving low-dimensional LMIs, which are decentralized except for the sharing information between neighbors, as determined by the plant interconnection; also we optimize a performance bound for each of the derived controllers.

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Structure-preserving model reduction with applications to power system dynamic equivalents

Cited by 12 publications

References 10 publications

Structured coprime factor model reduction based on LMIs

Structured coprime factor model reduction based on LMIs

Dynamic REI equivalents for short circuit and transient stability analyses

LMI relaxation to Riccati equations in structured control

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