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

DOI10.1007/s10444-018-9617-5zbMath1405.93052OpenAlexW2808274461WikidataQ129673695 ScholiaQ129673695MaRDI QIDQ1756927

Xiaodong Cheng, Jacquelien M. A. Scherpen

Publication date: 28 December 2018

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-018-9617-5

zbMATH Keywords

hierarchical clusteringmodel order reductiondistributed controllerpower network

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Linear systems in control theory (93C05) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15) Software, source code, etc. for problems pertaining to systems and control theory (93-04)

Related Items (6)

Optimal Dirichlet control of partial differential equations on networks ⋮ A new technique for the reduced-order modelling of linear dynamic systems and design of controller ⋮ Comparison of reduced basis construction methods for model order reduction, with application to non-linear low frequency electromagnetics ⋮ Balanced truncation of networked linear passive systems ⋮ Novel Gramians for linear semistable systems ⋮ 11 Reduced-order modeling of large-scale network systems

Uses Software

• Algorithm 432

Cites Work

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• A port-Hamiltonian approach to power network modeling and analysis
• Towards Kron reduction of generalized electrical networks
• Clustered model reduction of positive directed networks
• An internal model approach to (optimal) frequency regulation in power grids with time-varying voltages
• Area decomposition for electromechanical models of power systems
• The power grid as a complex network: a survey
• Clustering-Based Model Reduction of Networked Passive Systems
• A Hessenberg-Schur method for the problem AX + XB= C
• Reduction of Second-Order Network Systems With Structure Preservation
• Kron Reduction of Graphs With Applications to Electrical Networks
• Projection-Based Model Reduction of Multi-Agent Systems Using Graph Partitions
• Breaking the Hierarchy: Distributed Control and Economic Optimality in Microgrids
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Approximation of Large-Scale Dynamical Systems

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