Hi,
From literature the induction motor has been well described in state space, see attachment- Induction Motor-01.jpg:
This equation describes the induction motor with a rotating rotor.
To describe a rotating stator as a consequence of the 3 phase supplied power, the following equation can be used, see attachment - induction motor - rotorary frame -02.jpg:
Now, my question is the following:
I have a little difficulty understanding the second equation, the one showing the inclusion of the rotorary stator frame.
Because when I simulate a power supply (through the use of 3 combining 3 sine waves set 120 degrees apart)
\(
3 phase = A*(sin(\omega t+\theta) + sin(\omega t+\theta+2\pi/3) + sin(\omega t+\theta - 2\pi/3))
\)
then I can control the amplitude by adjusting A and the speed by adjusting f within \(\omega\) and any start angle by \(\theta\).
This should give me control of the motor by adjusting its power supply and I would not need the rotorary frame reference?
On the other hand if I use the rotorary frame reference I only need to control the amplitude of the signal and the speed within the stator, right?
Are my last statements true?
cheers,
From literature the induction motor has been well described in state space, see attachment- Induction Motor-01.jpg:
This equation describes the induction motor with a rotating rotor.
To describe a rotating stator as a consequence of the 3 phase supplied power, the following equation can be used, see attachment - induction motor - rotorary frame -02.jpg:
Now, my question is the following:
I have a little difficulty understanding the second equation, the one showing the inclusion of the rotorary stator frame.
Because when I simulate a power supply (through the use of 3 combining 3 sine waves set 120 degrees apart)
\(
3 phase = A*(sin(\omega t+\theta) + sin(\omega t+\theta+2\pi/3) + sin(\omega t+\theta - 2\pi/3))
\)
then I can control the amplitude by adjusting A and the speed by adjusting f within \(\omega\) and any start angle by \(\theta\).
This should give me control of the motor by adjusting its power supply and I would not need the rotorary frame reference?
On the other hand if I use the rotorary frame reference I only need to control the amplitude of the signal and the speed within the stator, right?
Are my last statements true?
cheers,
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