Harmonic signal estimation in power systems
Abstract
It is expected that guides and recommended practices will be adopted in the United States for the limitation of harmonic currents and voltages on electric power systems. Accordingly, it is of interest to use measurements and topological/mathematical methods to identify harmonic signal levels which do not comply with these guides. A study on the application of estimation theory to predict (estimate) harmonic bus voltages and line currents which cannot (or simply, are not) measured directly, is proposed. The presented methodology is based on measurements, state estimators, and harmonic system modelling. Specifically, a hybrid of quadratic (LS) and non-quadratic (LAV) criterion-based techniques utilizing the singular value decomposition (SVD) is used with a feasible application to large-scale problems. Contrary to the fundamental case, the Jacobian matrix of the power system equations at harmonic frequencies is shown to be ill-conditioned; a robust numerical technique, using linear transformations to scale the Jacobian matrix, is suggested to render the estimation problem solvable in a practical environment. A sparse, parallel processing formulation is suggested for the solution methodology.
Degree
Ph.D.
Advisors
Heydt, Purdue University.
Subject Area
Electrical engineering|Energy
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