I don't think you have any special power supply, but I do think you got lucky and maybe you have a robust pedestal supply that doesn't sag with lots of amps. Any of these will probably make it unworkable:
Low pedestal voltage. Low voltage pulls more current and you are already running at the limit.
Starting both compressors at the same time. The inrush current will probably trip the breaker before they start.
David
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