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Nonlinear Reachability Analysis and Optimal Control of Power Systems


C.M. Beyss

Master Thesis, HS14 (10379)

Transient rotor-angle stability of a power network refers to the ability of the power system to regain synchronism after being exposed to severe disturbances. The objective of this Masterís thesis was to use backward reachable set computation in order to determine the set of initial rotor angles and frequencies, which can safely return to synchronism autonomously and with a control input. As such, the angular dynamics of coupled generators were abstracted by the swing equation, resulting in a nonlinear state-space model. Stability was interpreted as a problem of reaching a required region of state space that is known to be the basin of attraction of a stable equilibrium point. Using the principle of optimality and the Level Set Toolbox of Ian Mitchell, this reachability problem was solved for a single-machine infinite bus system and a two-generator system, for autonomous and controlled operations. In the controlled case, the systems were extended by a direct current link that allows shifting active power between the two nodes (generator-bus/generator-generator) in order to stabilize the system. Based on the reachable set computation, the extended region of attraction was determined and a time-invariant control strategy was derived to steer the system to the stable equilibrium.

Supervisors: Maryam Kamgarpour, John Lygeros


Type of Publication:

(12)Diploma/Master Thesis

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% Autogenerated BibTeX entry
@PhdThesis { Xxx:2015:IFA_5179
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