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University of Cambridge

Scalable design rules for heterogeneous networks

Abstract

dc:description.abstract

We derive robust, decentralised and scalable stability criteria for networks of heterogeneous systems. Stability of the network is guaranteed if the dynamics of each local area of the network satisfies a globally specified protocol. The results are suitable for a broad class of network models, allowing for interconnection asymmetries, multi-input-multi-output systems and nonlinearities. For networks of single-input-single-output systems with a bipartite interconnection structure the protocol takes the form of a graphical Nyquist type test. This allows local control systems to be designed using loopshaping techniques. In the general setting the protocol take the form of a frequency domain inequality, and design can be conducted using linear matrix inequalities. Vve apply the techniques to construct a protocol for networks of detailed synchronous machine models. This illustrates that the conditions can be used for scalable stability verification and design of high fidelity electrical power system models.

Degree

thesis:*
Name dc:type.qualificationname
Doctor of Philosophy (PhD)
Level dc:type.qualificationlevel
Doctoral
Grantor dc:publisher.institution
University of Cambridge
Year dc:date.issued
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Pates, Richard Thomas

Rights

dc:rights
Language dc:language
eng

Identifiers

dc:identifier.*
DOI dc:identifier.doi
https://doi.org/10.17863/CAM.11758
OAI identifier oai:identifier
oai:www.repository.cam.ac.uk:1810/265580

Chain of custody

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Cambridge University
Base URL
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Last updated
2026-07-22
Source record
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citation

Pates, Richard Thomas. Scalable design rules for heterogeneous networks. Doctoral thesis, University of Cambridge, 2014. https://doi.org/10.17863/CAM.11758