학술논문

Dynamic phasor estimates through maximally flat differentiators
Document Type
Conference
Source
2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century, 2008 IEEE. :1-8 Jul, 2008
Subject
Power, Energy and Industry Applications
Components, Circuits, Devices and Systems
Robotics and Control Systems
Signal Processing and Analysis
Computing and Processing
Finite impulse response filter
Band pass filters
Approximation methods
Gain
Least squares approximation
Frequency response
Digital filters
Dynamic phasor
complex envelope
phasor state vector
phasor estimation
spectral fit
digital differentiators
maximally flat filters
maximally linear differentiators
windows
interpolation
Taylor-Fourier transform
Language
ISSN
1932-5517
Abstract
Estimates of the dynamic phasor and its derivatives are obtained using the weighted least-squares soluton of a Taylor approximation with classical windows as weighting factors. It is demonstrated that the least-squares solution simultaneously approximates the time function and its spectrum, and this twofold solution in turn is equivalent to the simultaneous approximation of the ideal frequency responses of the differentiators at once on the bandpass centered at the desired central frequency. Therefore the differentiators are maximally flat in the interval centered at the desired frequency. The filters designed with the Rectangular and Hamming windows are shown as examples of baseband differentiators.