Clustering approach to model order reduction of power networks with distributed controllers

Cheng, X. & Scherpen, J. M. A., Dec-2018, In : Advances in Computational Mathematics. 44, 6, p. 1917-1939 23 p.

Research output: Contribution to journalArticleAcademicpeer-review

This paper considers the network structure preserving model reduction of power networks with distributed controllers. The studied system and controller are modeled as second-order and first-order ordinary differential equations, which are coupled to a closed-loop model for analyzing the dissimilarities of the power units. By transfer functions, we characterize the behavior of each node (generator or load) in the power network and define a novel notion of dissimilarity between two nodes by the H-2-norm of the transfer function deviation. Then, the reduction methodology is developed based on separately clustering the generators and loads according to their behavior dissimilarities. The characteristic matrix of the resulting clustering is adopted for the Galerkin projection to derive explicit reduced-order power models and controllers. Finally, we illustrate the proposed method by the IEEE 30-bus system example.

Original languageEnglish
Pages (from-to)1917-1939
Number of pages23
JournalAdvances in Computational Mathematics
Issue number6
Publication statusPublished - Dec-2018
Event3rd Workshop on Model Reduction of Complex Dynamical Systems (MODRED) - Odense, Denmark
Duration: 11-Jan-201713-Jan-2017


3rd Workshop on Model Reduction of Complex Dynamical Systems (MODRED)


Odense, Denmark

Event: Conference


  • Power network, Distributed controller, Model order reduction, Hierarchical clustering, KRON REDUCTION, SYSTEMS, STABILITY

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