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) |
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| 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: | https://fse.studenttheses.ub.rug.nl/id/eprint/16345 |
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