Dynamic Phasor Estimates for Power System Oscillations

Since its invention, the phasor has essentially been considered as a steady-state concept. Up to now, this assumption has shaped most of the algorithms for phasor estimation. This paper breaks that old paradigm by relaxing the static phasor concept to a dynamic one, i.e., the dynamic phasor, which i...

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Bibliographic Details
Published in:IEEE transactions on instrumentation and measurement 2007-10, Vol.56 (5), p.1648-1657
Main Author: de la Serna, J.A.d.
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Complex envelope
differentiators
digital transmission systems
dynamic phasor
Dynamical systems
Dynamics
Estimates
flat-top filters
Frequency estimation
harmonic analysis
Interpolation
Mathematical analysis
N th-order hold
Oscillations
phasor estimation
phasor state vector
Phasors
Polynomials
Power system control
Power system dynamics
Power system modeling
Power system protection
Power systems
quadrature demodulation
State estimation
Steady-state
Taylor-Fourier transform
windows
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Summary:Since its invention, the phasor has essentially been considered as a steady-state concept. Up to now, this assumption has shaped most of the algorithms for phasor estimation. This paper breaks that old paradigm by relaxing the static phasor concept to a dynamic one, i.e., the dynamic phasor, which is one complex time function with movement freedom. This paper presents the algorithm to approximate the dynamic phasor by a second-order Taylor polynomial and compares its phasor estimate to the traditional one. This approximation leads to the definition of the phasor state vector, which contains not only the estimate of the dynamic phasor but the estimates of its derivatives as well. These new estimates improve the accuracy of oscillation estimation by including new Taylor details into the interpolation process. Errors on the order of 10 -4 are achieved with this approximation in bandpass signals over observation intervals of two cycles.
ISSN:0018-9456
1557-9662
DOI:10.1109/TIM.2007.904546