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Optimal Placement of Virtual Damping and Inertia


P. Lütolf

Master Thesis, FS16

The loss of conventional synchronous generators and the increasing share of renewable energy sources results in a power system with less inertia. The system inertia is vital to the synchronized operation of today’s electric power system as it flattens the grid frequency reaction to abrupt changes in generation and load patterns. A widely employed remedy is the emulation of virtual inertia by converter connected energy storage units. The question then arises of where to place these devices in order to improve the frequency stability. This inertia placement problem is analyzed in this thesis on a system based on the South East Australian Grid. The system is adapted to a low inertia case study with the replacement of several synchronous generators by constant power sources and devices that can provide virtual inertia and damping. The inertia placement problem is optimized with two different approaches on a linearized model of the case study. The two approaches are an H2-norm optimization technique and a optimization by eigenvalue analysis. Furthermore, heuristic bounds for the inertia and damping coefficients have been derived from frequency measurement data of the electric power system in Ireland. For comparison reasons the same amount of inertia and damping that had been removed in the case study is allowed to be placed by the optimization algorithms. The results of both optimization methods have improved the frequency stability of the test system in comparison to the case study and also the original system. Moreover, it was shown in some specific simulation runs that also less inertia and damping than what had been removed can result in a better frequency stability compared to the original system.

Supervisors: Saverio Bolognani, Bala Kameshwar Poolla, Florian Dörfler


Type of Publication:

(12)Diploma/Master Thesis

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% Autogenerated BibTeX entry
@PhdThesis { Xxx:2017:IFA_5607
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