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Stability analysis of smart power grids with market dynamics in a port-Hamiltonian framework

Zijlstra, J.W. (2018) Stability analysis of smart power grids with market dynamics in a port-Hamiltonian framework. Master's Thesis / Essay, Applied Mathematics.

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Abstract

An interconnection is made between smart power grids and the market dynamics. Both admit a port-Hamiltonian form and in particular are passive systems. As such, the interconnection is power-preserving, implying passivity of the closed-loop model. This thesis is an extension of the work done by [Stegink, 2016], where various extensions to the market dynamics have been examined. In adding transmission costs it is shown that asymptotic stability could only be proven where the physical network is a tree. This thesis provides a model to try and show (asymptotic) stability for all (interconnected) graphs.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Applied Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 08:34
Last Modified: 15 Feb 2018 08:34
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/16345

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