I agree with you. Unsynchronized, the emissions will add randomly as the
square root of the sum of the squares.  Synchronized, they add in phase,
coherently.  The difference between these two techniques is

20 log (n) - 10 log (n) = 10 log (n) in dB,

where n is the number of PWMs, so the difference in dB between coherent and
random phase addition depends on the number of PWMs. This means the
difference increases exponentially with increasing number of PWMs.

> From: Pat Lawler <pat.law...@verizon.net>
> Reply-To: Pat Lawler <pat.law...@verizon.net>
> Date: Wed, 30 Jul 2003 07:31:14 -0700
> To: EMC-PSTC <emc-p...@ieee.org>
> Subject: Synchronizing DC-DC converters to reduce emissions?
> 
> 
> We are designing a switching power supply for a customer that has
> multiple outputs.  Due to the tight regulation requirements, all
> outputs have their own PWM modulators and control loops.
> 
> The customer feels the RF emissions (as measured by CISPR 11) will be
> reduced by synchronizing the frequencies of all the converters.  I
> think synchronizing the PWM sections will make the total power supply
> emissions as high as possible (emissions are coherent?).
> 
> 1) What has been your experience with controlling noise from multiple
> switching power supplies?  Is synchronizing a good idea?
> 
> 2) If the supplies are synchronized, would a phase shift between
> converters (avoiding simultaneous switching of all converters) help?
> 
> Thanks,
> ---
> 
> 
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