Optimal PMU Placement for Power System Dynamic State Estimation by Using Empirical Observability Gramian
MetadataShow full item record
In this paper the empirical observability Gramian calculated around the operating region of a power system is used to quantify the degree of observability of the system states under specific phasor measurement unit (PMU) placement. An optimal PMU placement method for power system dynamic state estimation is further formulated as an optimization problem which maximizes the determinant of the empirical observability Gramian and is efficiently solved by the NOMAD solver, which implements the Mesh Adaptive Direct Search (MADS) algorithm. The implementation, validation, and also the robustness to load fluctuations and contingencies of the proposed method are carefully discussed. The proposed method is tested on WSCC 3-machine 9-bus system and NPCC 48-machine 140-bus system by performing dynamic state estimation with square-root unscented Kalman filter. The simulation results show that the determined optimal PMU placements by the proposed method can guarantee good observability of the system states, which further leads to smaller estimation errors and larger number of convergent states for dynamic state estimation compared with random PMU placements. Under optimal PMU placements an obvious observability transition can be observed. The proposed method is also validated to be very robust to both load fluctuations and contingencies.
The article of record as published may be found at http://dx.doi.org/10.1109/TPWRS.2014.2356797
Showing items related by title, author, creator and subject.
Utilization of numerical optimization techniques in the design of robust multi-input, multi-output control systems Gordon, Vernon C. (Monterey, California. Naval Postgraduate School, 1984-09);A direct design method for solving the problem of robustness to cross-coupling perturbations in mulltivariable control systems is presented. The method uses numerical optimization procedures to manipulate the system ...
Nagashima, M.; Agrawal, B.N. (2012);For a large Adaptive Optics (AO) system such as a large Segmented Mirror Telescope (SMT), it is often difficult, although not impossible, to directly apply common Multi-Input Multi-Output (MIMO) controller design methods ...
Impacts of sigma coordinates on the Euler and Navier-Stokes equations using continuous Galerkin methods Gibbons, Sean L. (Monterey, California. Naval Postgraduate School, 2009-03);In this thesis, the impacts of transforming the coordinate system of an existing x-z mesoscale model to x-[sigma]z are analyzed and discussed as they were observed in three test cases. The three test cases analyzed are: ...