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I would like to implement voltage regulator based on microcontroller + triac.

I am able to calculate source RMS voltage by sampling signal using ADC, but don't know how to calculate triac angle to set desired RMS voltage.

For example i have 250v source RMS voltage and i need to calculate triac angle to set output RMS 100v. Desired voltage might be any thirefore i need some formula to make possible recalculate triac angle in runtime.

I have found formula to calculate RMS by using triac angle:

https://www.physicsforums.com/threa...e-from-triac-phase-angle.572668/#post-3737599

But i need to calculate angle by using desired RMS output voltage. The problem that i can not to deduce angle from this formula - angle in sinus argument and also it is outside sinus.

Could you help to make a formula to calculate triac angle by using desired RMS voltage?

Or probably some other method is better to calculate triac angle ?