Definition of lead and lag and direction of rotation

date
May 3, 2020
slug
Definition of lead and lag
status
Published
tags
motor
summary
Definition of lead and lag and direction of rotation
type
Post

Lead and Lag

Take the following figure as an example
notion image
Can be so understood, the curve of is the waveform of the past time.
It follows from this, the curve of is the future waveform.
From the perspective of time, looking at the future from the past, when value is satisfied, reaches before . So leads .

Direction

In theory, it can be chosen arbitrarily.
In engineering, take the counterclockwise direction.
Mathematically, taking the counterclockwise direction is easy to unify with the complex plane.
Take the following figure as an example
notion image
From the figure, lags lags .
After Clark transformation, the axis is the real axis, and the axis is the imaginary axis.
Mathematically from the real axis to the imaginary axis is generally counterclockwise, so from the axis to the axis is also counterclockwise.

End.🍜

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