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Optimal PMU placement for State Estimation in Power Grids


A. Ketsetzis

Mater Thesis, SS16 (10537)

In this master thesis the problem of optimal placement of phasor measurement units (PMUs) for state estimation in power grids is investigated. The goal is to place a minimum number of required sensors in order to achieve a desired performance of the state estimation.
Firstly, a state estimator based on a Kalman filter formulation is built. In an attempt to reduce the size of the system, the algebraic equations derived from Kirchhoff’s and Ohm’s laws are incorporated. A constrained Kalman filter formulation and Kron reduction methods are considered for this case.
Secondly, the sensor placement problem is analyzed. In order to achieve an efficient optimization of this NP-hard combinatorial problem, submodular functions are sought as objectives. The submodularity property allows for an efficient maximization with bounded suboptimality through the usage of greedy algorithms. Different objectives are used separately or combined to achieve a PMU placement solution that minimizes the bounded covariance error.
Finally, the developed optimal placement tool is tested in IEEE test grids and a real distribution grid in the suburbs of Zurich.

Key Words: submodularity, greedy algorithms, constrained Kalman filter, Kron reduction

Supervisors: Adrian Hauswirth, Evdokia Kaffe (ewz), Alain Brenzikofer (SCS), Florian Dörfler


Type of Publication:

(12)Diploma/Master Thesis

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% Autogenerated BibTeX entry
@PhdThesis { Xxx:2016:IFA_5530
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