Science Visualized
The Norbert H and Jason M Kluga science, math and engineering blog. Dedicated to the science discussions I would have with my grandfather Norbert and great uncle John and to the artistic influence of my grandmother Lorraine. And most of all, to my late mother who grounded me and nurtured my passion for science, engineering and music.
Visitors since 2014
Visitors since 2015
αβ abc and dq frames for Space Vector Diagrams
It is important to remember that the abcs and αβ(dqs) frames are stationary and are tied to the physical location of the stator windings. The dqr and dqe reference frames rotate with the the physical location of the rotor and the Space Vector rotor voltages and currents for the dqr frame and with the Space Vector (Stator Voltage, Stator Current/Magnetic Field) for the dqe frame:
A Periodic Assessment from MEE 480
http://tutorial.math.lamar.edu/Classes/CalcIII/GreensTheorem.aspx
https://www.whitman.edu/mathematics/calculus_online/section16.04.html
http://faculty.up.edu/wootton/calc3/section17.4.pdf
Fourier
Fourier series can be used to approximate any differentiable function using sin and cosin functions. The accuracy increases as more terms are included in the series.
As can be seen from the animation, the mean deviation greatly increases on non-differentiable points (in the given case, they are dis-continuous and hence non-differentiable).
As can be seen from the animation, the mean deviation greatly increases on non-differentiable points (in the given case, they are dis-continuous and hence non-differentiable).
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