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We have the following 3 -phase voltage

`V_(abc )`

If we use a standard frame rotation of

`K(\omega t)`

, what would be the transformed voltage matrix

`V_(qdo )`

?

```
K(\omega t)=(2)/(3)[[cos(\omega t),cos(\omega t-2(\pi )/(3)),cos(\omega t-4(\pi )/(3)),sin(\omega t-2(\pi )/(3)),sin(\omega t-4(\pi )/(3)),0.5]]
0.5
0.5
sin(\omega t)
V_(abc)=[[V_(1)cos(\omega t+\theta )+V_(2)cos(\alpha )]]
V_(1)cos(\omega t+\theta +2(\pi )/(3))+V_(2)cos(\alpha )
V_(1)cos(\omega t+\theta +4(\pi )/(3))+V_(2)cos(\alpha )
```

Please write down all the equations of a synchronous machine with 1 feld winding in QDO frame of the rotor.