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What would be the minumum PWM frequency to hold a relay?

I think it's a good idea.

The minimum frequency depends on the relay's resistance, inducatance and minimum holding current. You probably already know the resistance and possibly the minimum holding current, the only thing you need to measure is the inductance.

Also use a Shottky diode as it'll reduce the losses and alow the duty to be reduced even further.
 

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